TSTP Solution File: ALG023+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : ALG023+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 16:35:39 EDT 2023
% Result : Unsatisfiable 12.64s 2.53s
% Output : Proof 73.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.12 % Problem : ALG023+1 : TPTP v8.1.2. Released v2.7.0.
% 0.13/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.14/0.34 % Computer : n006.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 28 03:58:36 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.21/0.60 ________ _____
% 0.21/0.60 ___ __ \_________(_)________________________________
% 0.21/0.60 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.21/0.60 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.21/0.60 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.21/0.60
% 0.21/0.60 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.21/0.60 (2023-06-19)
% 0.21/0.60
% 0.21/0.60 (c) Philipp Rümmer, 2009-2023
% 0.21/0.60 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.21/0.60 Amanda Stjerna.
% 0.21/0.60 Free software under BSD-3-Clause.
% 0.21/0.60
% 0.21/0.60 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.21/0.60
% 0.21/0.60 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.21/0.61 Running up to 7 provers in parallel.
% 0.21/0.63 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.21/0.63 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.21/0.63 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.21/0.63 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.21/0.63 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.21/0.63 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.21/0.63 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 3.91/1.36 Prover 1: Preprocessing ...
% 3.91/1.38 Prover 4: Preprocessing ...
% 3.91/1.43 Prover 5: Preprocessing ...
% 3.91/1.43 Prover 6: Preprocessing ...
% 3.91/1.43 Prover 3: Preprocessing ...
% 3.91/1.43 Prover 0: Preprocessing ...
% 3.91/1.44 Prover 2: Preprocessing ...
% 8.15/1.89 Prover 0: Constructing countermodel ...
% 8.15/1.91 Prover 2: Constructing countermodel ...
% 8.15/1.92 Prover 6: Constructing countermodel ...
% 8.74/1.96 Prover 3: Constructing countermodel ...
% 8.99/1.98 Prover 1: Constructing countermodel ...
% 8.99/1.99 Prover 4: Constructing countermodel ...
% 11.34/2.33 Prover 5: Constructing countermodel ...
% 12.64/2.52 Prover 3: proved (1898ms)
% 12.64/2.52
% 12.64/2.53 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.64/2.53
% 12.64/2.53 Prover 2: stopped
% 12.64/2.53 Prover 5: stopped
% 12.64/2.53 Prover 6: stopped
% 12.64/2.54 Prover 0: stopped
% 12.64/2.54 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 12.64/2.54 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 12.64/2.54 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 12.64/2.54 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 12.64/2.54 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 13.66/2.72 Prover 10: Preprocessing ...
% 13.66/2.72 Prover 7: Preprocessing ...
% 13.66/2.78 Prover 8: Preprocessing ...
% 13.66/2.80 Prover 13: Preprocessing ...
% 14.42/2.81 Prover 11: Preprocessing ...
% 14.42/2.85 Prover 10: Constructing countermodel ...
% 15.56/2.89 Prover 8: Constructing countermodel ...
% 15.92/2.92 Prover 7: Constructing countermodel ...
% 16.09/2.96 Prover 11: Constructing countermodel ...
% 16.68/3.05 Prover 13: Constructing countermodel ...
% 61.89/8.90 Prover 13: stopped
% 61.89/8.90 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 62.34/9.00 Prover 16: Preprocessing ...
% 63.75/9.14 Prover 16: Constructing countermodel ...
% 67.13/9.71 Prover 4: Found proof (size 11495)
% 67.13/9.71 Prover 4: proved (9090ms)
% 67.13/9.72 Prover 16: stopped
% 67.13/9.72 Prover 7: stopped
% 67.13/9.72 Prover 8: stopped
% 67.13/9.72 Prover 10: stopped
% 67.13/9.72 Prover 1: stopped
% 67.13/9.72 Prover 11: stopped
% 67.89/9.72
% 67.89/9.72 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 67.89/9.72
% 69.53/10.33 % SZS output start Proof for theBenchmark
% 69.53/10.36 Assumptions after simplification:
% 69.53/10.36 ---------------------------------
% 69.53/10.36
% 69.53/10.36 (ax1)
% 69.77/10.41 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 69.77/10.41 ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8:
% 69.77/10.41 $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13:
% 69.77/10.41 $i] : ? [v14: $i] : ? [v15: $i] : (op(e3, e3) = v15 & op(e3, e2) = v14 &
% 69.77/10.41 op(e3, e1) = v13 & op(e3, e0) = v12 & op(e2, e3) = v11 & op(e2, e2) = v10 &
% 69.77/10.41 op(e2, e1) = v9 & op(e2, e0) = v8 & op(e1, e3) = v7 & op(e1, e2) = v6 &
% 69.77/10.41 op(e1, e1) = v5 & op(e1, e0) = v4 & op(e0, e3) = v3 & op(e0, e2) = v2 &
% 69.77/10.41 op(e0, e1) = v1 & op(e0, e0) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) &
% 69.77/10.41 $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 69.77/10.41 $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v15 = e3 | v15 = e2 | v15 = e1 | v15 =
% 69.77/10.41 e0) & (v14 = e3 | v14 = e2 | v14 = e1 | v14 = e0) & (v13 = e3 | v13 = e2 |
% 69.77/10.41 v13 = e1 | v13 = e0) & (v12 = e3 | v12 = e2 | v12 = e1 | v12 = e0) & (v11
% 69.77/10.41 = e3 | v11 = e2 | v11 = e1 | v11 = e0) & (v10 = e3 | v10 = e2 | v10 = e1 |
% 69.77/10.41 v10 = e0) & (v9 = e3 | v9 = e2 | v9 = e1 | v9 = e0) & (v8 = e3 | v8 = e2 |
% 69.77/10.41 v8 = e1 | v8 = e0) & (v7 = e3 | v7 = e2 | v7 = e1 | v7 = e0) & (v6 = e3 |
% 69.77/10.41 v6 = e2 | v6 = e1 | v6 = e0) & (v5 = e3 | v5 = e2 | v5 = e1 | v5 = e0) &
% 69.77/10.41 (v4 = e3 | v4 = e2 | v4 = e1 | v4 = e0) & (v3 = e3 | v3 = e2 | v3 = e1 | v3
% 69.77/10.41 = e0) & (v2 = e3 | v2 = e2 | v2 = e1 | v2 = e0) & (v1 = e3 | v1 = e2 | v1
% 69.77/10.41 = e1 | v1 = e0) & (v0 = e3 | v0 = e2 | v0 = e1 | v0 = e0))
% 69.77/10.41
% 69.77/10.41 (ax10)
% 69.77/10.41 ~ (e3 = e2) & ~ (e3 = e1) & ~ (e3 = e0) & ~ (e2 = e1) & ~ (e2 = e0) & ~
% 69.77/10.41 (e1 = e0) & $i(e3) & $i(e2) & $i(e1) & $i(e0)
% 69.77/10.41
% 69.77/10.41 (ax11)
% 69.77/10.42 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 69.77/10.42 ? [v3: $i] : (op(e3, e3) = v3 & op(e2, e2) = v2 & op(e1, e1) = v1 & op(e0, e0)
% 69.77/10.42 = v0 & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ((v3 = e3 & v2 = e3 & v1 = e3 &
% 69.77/10.42 v0 = e3) | (v3 = e2 & v2 = e2 & v1 = e2 & v0 = e2) | (v3 = e1 & v2 = e1
% 69.77/10.42 & v1 = e1 & v0 = e1) | (v3 = e0 & v2 = e0 & v1 = e0 & v0 = e0)))
% 69.77/10.42
% 69.77/10.42 (ax12)
% 69.77/10.42 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : (op(e3, e3) =
% 69.77/10.42 v0 & op(e2, e3) = v1 & $i(v1) & $i(v0) & ( ~ (v1 = e1) | ~ (v0 = e0)))
% 69.77/10.42
% 69.77/10.42 (ax13)
% 69.77/10.42 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : (op(e3, e2) =
% 69.77/10.42 v1 & op(e2, e2) = v0 & $i(v1) & $i(v0) & ( ~ (v1 = e1) | ~ (v0 = e0)))
% 69.77/10.42
% 69.77/10.42 (ax14)
% 69.77/10.42 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : (op(e3, e3) =
% 69.77/10.42 v0 & op(e1, e3) = v1 & $i(v1) & $i(v0) & ( ~ (v1 = e2) | ~ (v0 = e0)))
% 69.77/10.42
% 69.77/10.42 (ax15)
% 69.77/10.42 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : (op(e3, e1) =
% 69.77/10.42 v1 & op(e1, e1) = v0 & $i(v1) & $i(v0) & ( ~ (v1 = e2) | ~ (v0 = e0)))
% 69.77/10.42
% 69.77/10.42 (ax16)
% 69.77/10.42 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : (op(e2, e2) =
% 69.77/10.42 v0 & op(e1, e2) = v1 & $i(v1) & $i(v0) & ( ~ (v1 = e3) | ~ (v0 = e0)))
% 69.77/10.42
% 69.77/10.42 (ax17)
% 69.77/10.42 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : (op(e2, e1) =
% 69.77/10.42 v1 & op(e1, e1) = v0 & $i(v1) & $i(v0) & ( ~ (v1 = e3) | ~ (v0 = e0)))
% 69.77/10.42
% 69.77/10.42 (ax18)
% 69.77/10.42 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : (op(e3, e3) =
% 69.77/10.42 v0 & op(e2, e3) = v1 & $i(v1) & $i(v0) & ( ~ (v1 = e0) | ~ (v0 = e1)))
% 69.77/10.42
% 69.77/10.42 (ax19)
% 69.77/10.42 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : (op(e3, e2) =
% 69.77/10.42 v1 & op(e2, e2) = v0 & $i(v1) & $i(v0) & ( ~ (v1 = e0) | ~ (v0 = e1)))
% 69.77/10.42
% 69.77/10.42 (ax2)
% 69.77/10.44 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 69.77/10.44 ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8:
% 69.77/10.44 $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13:
% 69.77/10.44 $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18:
% 69.77/10.44 $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23:
% 69.77/10.44 $i] : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ? [v28:
% 69.77/10.44 $i] : ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : ? [v32: $i] : ? [v33:
% 69.77/10.44 $i] : ? [v34: $i] : ? [v35: $i] : ? [v36: $i] : ? [v37: $i] : ? [v38:
% 69.77/10.44 $i] : ? [v39: $i] : ? [v40: $i] : ? [v41: $i] : ? [v42: $i] : ? [v43:
% 69.77/10.44 $i] : ? [v44: $i] : ? [v45: $i] : ? [v46: $i] : ? [v47: $i] : ? [v48:
% 69.77/10.44 $i] : ? [v49: $i] : ? [v50: $i] : ? [v51: $i] : ? [v52: $i] : ? [v53:
% 69.77/10.44 $i] : ? [v54: $i] : ? [v55: $i] : ? [v56: $i] : ? [v57: $i] : ? [v58:
% 69.77/10.44 $i] : ? [v59: $i] : ? [v60: $i] : ? [v61: $i] : ? [v62: $i] : ? [v63:
% 69.77/10.44 $i] : ? [v64: $i] : ? [v65: $i] : ? [v66: $i] : ? [v67: $i] : ? [v68:
% 69.77/10.44 $i] : ? [v69: $i] : ? [v70: $i] : ? [v71: $i] : ? [v72: $i] : ? [v73:
% 69.77/10.44 $i] : ? [v74: $i] : ? [v75: $i] : ? [v76: $i] : ? [v77: $i] : ? [v78:
% 69.77/10.44 $i] : ? [v79: $i] : (op(v31, e3) = v79 & op(v31, e2) = v78 & op(v31, e1) =
% 69.77/10.44 v77 & op(v31, e0) = v76 & op(v29, e3) = v75 & op(v29, e2) = v74 & op(v29,
% 69.77/10.44 e1) = v73 & op(v29, e0) = v72 & op(v27, e3) = v71 & op(v27, e2) = v70 &
% 69.77/10.44 op(v27, e1) = v69 & op(v27, e0) = v68 & op(v25, e3) = v67 & op(v25, e2) =
% 69.77/10.44 v66 & op(v25, e1) = v65 & op(v25, e0) = v64 & op(v23, e3) = v63 & op(v23,
% 69.77/10.44 e2) = v62 & op(v23, e1) = v61 & op(v23, e0) = v60 & op(v21, e3) = v59 &
% 69.77/10.44 op(v21, e2) = v58 & op(v21, e1) = v57 & op(v21, e0) = v56 & op(v19, e3) =
% 69.77/10.44 v55 & op(v19, e2) = v54 & op(v19, e1) = v53 & op(v19, e0) = v52 & op(v17,
% 69.77/10.44 e3) = v51 & op(v17, e2) = v50 & op(v17, e1) = v49 & op(v17, e0) = v48 &
% 69.77/10.44 op(v15, e3) = v47 & op(v15, e2) = v46 & op(v15, e1) = v45 & op(v15, e0) =
% 69.77/10.44 v44 & op(v13, e3) = v43 & op(v13, e2) = v42 & op(v13, e1) = v41 & op(v13,
% 69.77/10.44 e0) = v40 & op(v11, e3) = v39 & op(v11, e2) = v38 & op(v11, e1) = v37 &
% 69.77/10.44 op(v11, e0) = v36 & op(v9, e3) = v35 & op(v9, e2) = v34 & op(v9, e1) = v33 &
% 69.77/10.44 op(v9, e0) = v32 & op(v7, e3) = v30 & op(v7, e2) = v28 & op(v7, e1) = v26 &
% 69.77/10.44 op(v7, e0) = v24 & op(v5, e3) = v22 & op(v5, e2) = v20 & op(v5, e1) = v18 &
% 69.77/10.44 op(v5, e0) = v16 & op(v3, e3) = v14 & op(v3, e2) = v12 & op(v3, e1) = v10 &
% 69.77/10.44 op(v3, e0) = v8 & op(v0, e3) = v6 & op(v0, e2) = v4 & op(v0, e1) = v2 &
% 69.77/10.44 op(v0, e0) = v1 & op(e3, v31) = v79 & op(e3, v29) = v78 & op(e3, v27) = v77
% 69.77/10.44 & op(e3, v25) = v76 & op(e3, v23) = v75 & op(e3, v21) = v74 & op(e3, v19) =
% 69.77/10.44 v73 & op(e3, v17) = v72 & op(e3, v15) = v71 & op(e3, v13) = v70 & op(e3,
% 69.77/10.44 v11) = v69 & op(e3, v9) = v68 & op(e3, v7) = v67 & op(e3, v5) = v66 &
% 69.77/10.44 op(e3, v3) = v65 & op(e3, v0) = v64 & op(e3, e3) = v31 & op(e3, e2) = v29 &
% 69.77/10.44 op(e3, e1) = v27 & op(e3, e0) = v25 & op(e2, v31) = v63 & op(e2, v29) = v62
% 69.77/10.44 & op(e2, v27) = v61 & op(e2, v25) = v60 & op(e2, v23) = v59 & op(e2, v21) =
% 69.77/10.44 v58 & op(e2, v19) = v57 & op(e2, v17) = v56 & op(e2, v15) = v55 & op(e2,
% 69.77/10.44 v13) = v54 & op(e2, v11) = v53 & op(e2, v9) = v52 & op(e2, v7) = v51 &
% 69.77/10.44 op(e2, v5) = v50 & op(e2, v3) = v49 & op(e2, v0) = v48 & op(e2, e3) = v23 &
% 69.77/10.44 op(e2, e2) = v21 & op(e2, e1) = v19 & op(e2, e0) = v17 & op(e1, v31) = v47 &
% 69.77/10.44 op(e1, v29) = v46 & op(e1, v27) = v45 & op(e1, v25) = v44 & op(e1, v23) =
% 69.77/10.44 v43 & op(e1, v21) = v42 & op(e1, v19) = v41 & op(e1, v17) = v40 & op(e1,
% 69.77/10.44 v15) = v39 & op(e1, v13) = v38 & op(e1, v11) = v37 & op(e1, v9) = v36 &
% 69.77/10.44 op(e1, v7) = v35 & op(e1, v5) = v34 & op(e1, v3) = v33 & op(e1, v0) = v32 &
% 69.77/10.44 op(e1, e3) = v15 & op(e1, e2) = v13 & op(e1, e1) = v11 & op(e1, e0) = v9 &
% 69.77/10.44 op(e0, v31) = v30 & op(e0, v29) = v28 & op(e0, v27) = v26 & op(e0, v25) =
% 69.77/10.44 v24 & op(e0, v23) = v22 & op(e0, v21) = v20 & op(e0, v19) = v18 & op(e0,
% 69.77/10.44 v17) = v16 & op(e0, v15) = v14 & op(e0, v13) = v12 & op(e0, v11) = v10 &
% 69.77/10.44 op(e0, v9) = v8 & op(e0, v7) = v6 & op(e0, v5) = v4 & op(e0, v3) = v2 &
% 69.77/10.44 op(e0, v0) = v1 & op(e0, e3) = v7 & op(e0, e2) = v5 & op(e0, e1) = v3 &
% 69.77/10.44 op(e0, e0) = v0 & $i(v79) & $i(v78) & $i(v77) & $i(v76) & $i(v75) & $i(v74)
% 69.77/10.44 & $i(v73) & $i(v72) & $i(v71) & $i(v70) & $i(v69) & $i(v68) & $i(v67) &
% 69.77/10.45 $i(v66) & $i(v65) & $i(v64) & $i(v63) & $i(v62) & $i(v61) & $i(v60) &
% 69.77/10.45 $i(v59) & $i(v58) & $i(v57) & $i(v56) & $i(v55) & $i(v54) & $i(v53) &
% 69.77/10.45 $i(v52) & $i(v51) & $i(v50) & $i(v49) & $i(v48) & $i(v47) & $i(v46) &
% 69.77/10.45 $i(v45) & $i(v44) & $i(v43) & $i(v42) & $i(v41) & $i(v40) & $i(v39) &
% 69.77/10.45 $i(v38) & $i(v37) & $i(v36) & $i(v35) & $i(v34) & $i(v33) & $i(v32) &
% 69.77/10.45 $i(v31) & $i(v30) & $i(v29) & $i(v28) & $i(v27) & $i(v26) & $i(v25) &
% 69.77/10.45 $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19) & $i(v18) &
% 69.77/10.45 $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) &
% 69.77/10.45 $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) &
% 69.77/10.45 $i(v2) & $i(v1) & $i(v0))
% 69.77/10.45
% 69.77/10.45 (ax20)
% 69.77/10.45 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : (op(e3, e3) =
% 69.77/10.45 v0 & op(e0, e3) = v1 & $i(v1) & $i(v0) & ( ~ (v1 = e2) | ~ (v0 = e1)))
% 69.77/10.45
% 69.77/10.45 (ax21)
% 69.77/10.45 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : (op(e3, e0) =
% 69.77/10.45 v1 & op(e0, e0) = v0 & $i(v1) & $i(v0) & ( ~ (v1 = e2) | ~ (v0 = e1)))
% 69.77/10.45
% 69.77/10.45 (ax22)
% 69.77/10.45 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : (op(e2, e2) =
% 69.77/10.45 v0 & op(e0, e2) = v1 & $i(v1) & $i(v0) & ( ~ (v1 = e3) | ~ (v0 = e1)))
% 69.77/10.45
% 69.77/10.45 (ax23)
% 69.77/10.45 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : (op(e2, e0) =
% 69.77/10.45 v1 & op(e0, e0) = v0 & $i(v1) & $i(v0) & ( ~ (v1 = e3) | ~ (v0 = e1)))
% 69.77/10.45
% 69.77/10.45 (ax24)
% 69.77/10.45 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : (op(e3, e3) =
% 69.77/10.45 v0 & op(e1, e3) = v1 & $i(v1) & $i(v0) & ( ~ (v1 = e0) | ~ (v0 = e2)))
% 69.77/10.45
% 69.77/10.45 (ax25)
% 69.77/10.45 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : (op(e3, e1) =
% 69.77/10.45 v1 & op(e1, e1) = v0 & $i(v1) & $i(v0) & ( ~ (v1 = e0) | ~ (v0 = e2)))
% 69.77/10.45
% 69.77/10.45 (ax26)
% 69.77/10.45 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : (op(e3, e3) =
% 69.77/10.45 v0 & op(e0, e3) = v1 & $i(v1) & $i(v0) & ( ~ (v1 = e1) | ~ (v0 = e2)))
% 69.77/10.45
% 69.77/10.45 (ax27)
% 69.77/10.45 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : (op(e3, e0) =
% 69.77/10.45 v1 & op(e0, e0) = v0 & $i(v1) & $i(v0) & ( ~ (v1 = e1) | ~ (v0 = e2)))
% 69.77/10.45
% 69.77/10.45 (ax28)
% 69.77/10.45 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : (op(e1, e1) =
% 69.77/10.45 v0 & op(e0, e1) = v1 & $i(v1) & $i(v0) & ( ~ (v1 = e3) | ~ (v0 = e2)))
% 69.77/10.45
% 69.77/10.45 (ax29)
% 69.77/10.46 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : (op(e1, e0) =
% 69.77/10.46 v1 & op(e0, e0) = v0 & $i(v1) & $i(v0) & ( ~ (v1 = e3) | ~ (v0 = e2)))
% 69.77/10.46
% 69.77/10.46 (ax3)
% 69.77/10.46 op(unit, e3) = e3 & op(unit, e2) = e2 & op(unit, e1) = e1 & op(unit, e0) = e0
% 69.77/10.46 & op(e3, unit) = e3 & op(e2, unit) = e2 & op(e1, unit) = e1 & op(e0, unit) =
% 69.77/10.46 e0 & $i(unit) & $i(e3) & $i(e2) & $i(e1) & $i(e0) & (unit = e3 | unit = e2 |
% 69.77/10.46 unit = e1 | unit = e0)
% 69.77/10.46
% 69.77/10.46 (ax30)
% 69.77/10.46 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : (op(e2, e2) =
% 69.77/10.46 v0 & op(e1, e2) = v1 & $i(v1) & $i(v0) & ( ~ (v1 = e0) | ~ (v0 = e3)))
% 69.77/10.46
% 69.77/10.46 (ax31)
% 69.77/10.46 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : (op(e2, e1) =
% 69.77/10.46 v1 & op(e1, e1) = v0 & $i(v1) & $i(v0) & ( ~ (v1 = e0) | ~ (v0 = e3)))
% 69.77/10.46
% 69.77/10.46 (ax32)
% 69.77/10.46 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : (op(e2, e2) =
% 69.77/10.46 v0 & op(e0, e2) = v1 & $i(v1) & $i(v0) & ( ~ (v1 = e1) | ~ (v0 = e3)))
% 69.77/10.46
% 69.77/10.46 (ax33)
% 69.77/10.46 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : (op(e2, e0) =
% 69.77/10.46 v1 & op(e0, e0) = v0 & $i(v1) & $i(v0) & ( ~ (v1 = e1) | ~ (v0 = e3)))
% 69.77/10.46
% 69.77/10.46 (ax34)
% 69.77/10.46 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : (op(e1, e1) =
% 69.77/10.46 v0 & op(e0, e1) = v1 & $i(v1) & $i(v0) & ( ~ (v1 = e2) | ~ (v0 = e3)))
% 69.77/10.46
% 69.77/10.46 (ax35)
% 69.77/10.46 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : (op(e1, e0) =
% 69.77/10.46 v1 & op(e0, e0) = v0 & $i(v1) & $i(v0) & ( ~ (v1 = e2) | ~ (v0 = e3)))
% 69.77/10.46
% 69.77/10.46 (ax4)
% 70.41/10.47 $i(unit) & $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ?
% 70.41/10.47 [v2: $i] : ? [v3: $i] : (inv(e3) = v3 & inv(e2) = v2 & inv(e1) = v1 & inv(e0)
% 70.41/10.47 = v0 & op(v3, e3) = unit & op(v2, e2) = unit & op(v1, e1) = unit & op(v0,
% 70.41/10.47 e0) = unit & op(e3, v3) = unit & op(e2, v2) = unit & op(e1, v1) = unit &
% 70.41/10.47 op(e0, v0) = unit & $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v3 = e3 | v3 = e2 |
% 70.41/10.47 v3 = e1 | v3 = e0) & (v2 = e3 | v2 = e2 | v2 = e1 | v2 = e0) & (v1 = e3 |
% 70.41/10.47 v1 = e2 | v1 = e1 | v1 = e0) & (v0 = e3 | v0 = e2 | v0 = e1 | v0 = e0))
% 70.41/10.47
% 70.41/10.47 (ax6)
% 70.41/10.47 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 70.41/10.47 ? [v3: $i] : (inv(v3) = e3 & inv(v2) = e2 & inv(v1) = e1 & inv(v0) = e0 &
% 70.41/10.47 inv(e3) = v3 & inv(e2) = v2 & inv(e1) = v1 & inv(e0) = v0 & $i(v3) & $i(v2)
% 70.41/10.47 & $i(v1) & $i(v0))
% 70.41/10.47
% 70.41/10.47 (ax7)
% 70.41/10.47 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 70.41/10.47 ? [v3: $i] : (inv(e3) = v3 & inv(e2) = v2 & inv(e1) = v1 & inv(e0) = v0 &
% 70.41/10.47 $i(v3) & $i(v2) & $i(v1) & $i(v0) & ( ~ (v3 = e2) | v2 = e3) & ( ~ (v3 = e1)
% 70.41/10.47 | v1 = e3) & ( ~ (v3 = e0) | v0 = e3) & ( ~ (v2 = e3) | v3 = e2) & ( ~ (v2
% 70.41/10.47 = e1) | v1 = e2) & ( ~ (v2 = e0) | v0 = e2) & ( ~ (v1 = e3) | v3 = e1) &
% 70.41/10.47 ( ~ (v1 = e2) | v2 = e1) & ( ~ (v1 = e0) | v0 = e1) & ( ~ (v0 = e3) | v3 =
% 70.41/10.47 e0) & ( ~ (v0 = e2) | v2 = e0) & ( ~ (v0 = e1) | v1 = e0))
% 70.41/10.47
% 70.41/10.47 (ax8)
% 70.41/10.47 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 70.41/10.47 ? [v3: $i] : ( ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~ (v2 = v1) & ~
% 70.41/10.47 (v2 = v0) & ~ (v1 = v0) & inv(e3) = v3 & inv(e2) = v2 & inv(e1) = v1 &
% 70.41/10.47 inv(e0) = v0 & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 70.41/10.47
% 70.41/10.47 (ax9)
% 70.41/10.48 $i(e3) & $i(e2) & $i(e1) & $i(e0) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 70.41/10.48 ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8:
% 70.41/10.48 $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13:
% 70.41/10.48 $i] : ? [v14: $i] : ? [v15: $i] : ( ~ (v15 = v14) & ~ (v15 = v13) & ~
% 70.41/10.48 (v15 = v12) & ~ (v15 = v11) & ~ (v15 = v7) & ~ (v15 = v3) & ~ (v14 =
% 70.41/10.48 v13) & ~ (v14 = v12) & ~ (v14 = v10) & ~ (v14 = v6) & ~ (v14 = v2) &
% 70.41/10.48 ~ (v13 = v12) & ~ (v13 = v9) & ~ (v13 = v5) & ~ (v13 = v1) & ~ (v12 =
% 70.41/10.48 v8) & ~ (v12 = v4) & ~ (v12 = v0) & ~ (v11 = v10) & ~ (v11 = v9) & ~
% 70.41/10.48 (v11 = v8) & ~ (v11 = v7) & ~ (v11 = v3) & ~ (v10 = v9) & ~ (v10 = v8) &
% 70.41/10.48 ~ (v10 = v6) & ~ (v10 = v2) & ~ (v9 = v8) & ~ (v9 = v5) & ~ (v9 = v1) &
% 70.41/10.48 ~ (v8 = v4) & ~ (v8 = v0) & ~ (v7 = v6) & ~ (v7 = v5) & ~ (v7 = v4) &
% 70.41/10.48 ~ (v7 = v3) & ~ (v6 = v5) & ~ (v6 = v4) & ~ (v6 = v2) & ~ (v5 = v4) & ~
% 70.41/10.48 (v5 = v1) & ~ (v4 = v0) & ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~
% 70.41/10.48 (v2 = v1) & ~ (v2 = v0) & ~ (v1 = v0) & op(e3, e3) = v15 & op(e3, e2) =
% 70.41/10.48 v11 & op(e3, e1) = v7 & op(e3, e0) = v3 & op(e2, e3) = v14 & op(e2, e2) =
% 70.41/10.48 v10 & op(e2, e1) = v6 & op(e2, e0) = v2 & op(e1, e3) = v13 & op(e1, e2) = v9
% 70.41/10.48 & op(e1, e1) = v5 & op(e1, e0) = v1 & op(e0, e3) = v12 & op(e0, e2) = v8 &
% 70.41/10.48 op(e0, e1) = v4 & op(e0, e0) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) &
% 70.41/10.48 $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 70.41/10.48 $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 70.41/10.48
% 70.41/10.48 (function-axioms)
% 70.41/10.48 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (op(v3,
% 70.41/10.48 v2) = v1) | ~ (op(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 70.41/10.48 $i] : (v1 = v0 | ~ (inv(v2) = v1) | ~ (inv(v2) = v0))
% 70.41/10.48
% 70.41/10.48 Further assumptions not needed in the proof:
% 70.41/10.48 --------------------------------------------
% 70.41/10.48 ax5
% 70.41/10.48
% 70.41/10.48 Those formulas are unsatisfiable:
% 70.41/10.48 ---------------------------------
% 70.41/10.48
% 70.41/10.48 Begin of proof
% 70.41/10.48 |
% 70.41/10.48 | ALPHA: (ax1) implies:
% 70.41/10.49 | (1) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 70.41/10.49 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 70.41/10.49 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 70.41/10.49 | ? [v15: $i] : (op(e3, e3) = v15 & op(e3, e2) = v14 & op(e3, e1) = v13
% 70.41/10.49 | & op(e3, e0) = v12 & op(e2, e3) = v11 & op(e2, e2) = v10 & op(e2, e1)
% 70.41/10.49 | = v9 & op(e2, e0) = v8 & op(e1, e3) = v7 & op(e1, e2) = v6 & op(e1,
% 70.41/10.49 | e1) = v5 & op(e1, e0) = v4 & op(e0, e3) = v3 & op(e0, e2) = v2 &
% 70.41/10.49 | op(e0, e1) = v1 & op(e0, e0) = v0 & $i(v15) & $i(v14) & $i(v13) &
% 70.41/10.49 | $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) &
% 70.41/10.49 | $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v15 = e3 | v15
% 70.41/10.49 | = e2 | v15 = e1 | v15 = e0) & (v14 = e3 | v14 = e2 | v14 = e1 | v14
% 70.41/10.49 | = e0) & (v13 = e3 | v13 = e2 | v13 = e1 | v13 = e0) & (v12 = e3 |
% 70.41/10.49 | v12 = e2 | v12 = e1 | v12 = e0) & (v11 = e3 | v11 = e2 | v11 = e1 |
% 70.41/10.49 | v11 = e0) & (v10 = e3 | v10 = e2 | v10 = e1 | v10 = e0) & (v9 = e3
% 70.41/10.49 | | v9 = e2 | v9 = e1 | v9 = e0) & (v8 = e3 | v8 = e2 | v8 = e1 | v8
% 70.41/10.49 | = e0) & (v7 = e3 | v7 = e2 | v7 = e1 | v7 = e0) & (v6 = e3 | v6 =
% 70.41/10.49 | e2 | v6 = e1 | v6 = e0) & (v5 = e3 | v5 = e2 | v5 = e1 | v5 = e0) &
% 70.41/10.49 | (v4 = e3 | v4 = e2 | v4 = e1 | v4 = e0) & (v3 = e3 | v3 = e2 | v3 =
% 70.41/10.49 | e1 | v3 = e0) & (v2 = e3 | v2 = e2 | v2 = e1 | v2 = e0) & (v1 = e3
% 70.41/10.49 | | v1 = e2 | v1 = e1 | v1 = e0) & (v0 = e3 | v0 = e2 | v0 = e1 | v0
% 70.41/10.49 | = e0))
% 70.41/10.49 |
% 70.41/10.49 | ALPHA: (ax2) implies:
% 70.59/10.51 | (2) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 70.59/10.51 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 70.59/10.51 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 70.59/10.51 | ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ? [v19:
% 70.59/10.51 | $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i] : ?
% 70.59/10.51 | [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ? [v28: $i] :
% 70.59/10.51 | ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : ? [v32: $i] : ? [v33:
% 70.59/10.51 | $i] : ? [v34: $i] : ? [v35: $i] : ? [v36: $i] : ? [v37: $i] : ?
% 70.59/10.51 | [v38: $i] : ? [v39: $i] : ? [v40: $i] : ? [v41: $i] : ? [v42: $i] :
% 70.59/10.51 | ? [v43: $i] : ? [v44: $i] : ? [v45: $i] : ? [v46: $i] : ? [v47:
% 70.59/10.51 | $i] : ? [v48: $i] : ? [v49: $i] : ? [v50: $i] : ? [v51: $i] : ?
% 70.59/10.51 | [v52: $i] : ? [v53: $i] : ? [v54: $i] : ? [v55: $i] : ? [v56: $i] :
% 70.59/10.51 | ? [v57: $i] : ? [v58: $i] : ? [v59: $i] : ? [v60: $i] : ? [v61:
% 70.59/10.51 | $i] : ? [v62: $i] : ? [v63: $i] : ? [v64: $i] : ? [v65: $i] : ?
% 70.59/10.51 | [v66: $i] : ? [v67: $i] : ? [v68: $i] : ? [v69: $i] : ? [v70: $i] :
% 70.59/10.51 | ? [v71: $i] : ? [v72: $i] : ? [v73: $i] : ? [v74: $i] : ? [v75:
% 70.59/10.51 | $i] : ? [v76: $i] : ? [v77: $i] : ? [v78: $i] : ? [v79: $i] :
% 70.59/10.51 | (op(v31, e3) = v79 & op(v31, e2) = v78 & op(v31, e1) = v77 & op(v31,
% 70.59/10.51 | e0) = v76 & op(v29, e3) = v75 & op(v29, e2) = v74 & op(v29, e1) =
% 70.59/10.51 | v73 & op(v29, e0) = v72 & op(v27, e3) = v71 & op(v27, e2) = v70 &
% 70.59/10.51 | op(v27, e1) = v69 & op(v27, e0) = v68 & op(v25, e3) = v67 & op(v25,
% 70.59/10.51 | e2) = v66 & op(v25, e1) = v65 & op(v25, e0) = v64 & op(v23, e3) =
% 70.59/10.51 | v63 & op(v23, e2) = v62 & op(v23, e1) = v61 & op(v23, e0) = v60 &
% 70.59/10.51 | op(v21, e3) = v59 & op(v21, e2) = v58 & op(v21, e1) = v57 & op(v21,
% 70.59/10.51 | e0) = v56 & op(v19, e3) = v55 & op(v19, e2) = v54 & op(v19, e1) =
% 70.59/10.51 | v53 & op(v19, e0) = v52 & op(v17, e3) = v51 & op(v17, e2) = v50 &
% 70.59/10.51 | op(v17, e1) = v49 & op(v17, e0) = v48 & op(v15, e3) = v47 & op(v15,
% 70.59/10.51 | e2) = v46 & op(v15, e1) = v45 & op(v15, e0) = v44 & op(v13, e3) =
% 70.59/10.51 | v43 & op(v13, e2) = v42 & op(v13, e1) = v41 & op(v13, e0) = v40 &
% 70.59/10.51 | op(v11, e3) = v39 & op(v11, e2) = v38 & op(v11, e1) = v37 & op(v11,
% 70.59/10.51 | e0) = v36 & op(v9, e3) = v35 & op(v9, e2) = v34 & op(v9, e1) = v33
% 70.59/10.51 | & op(v9, e0) = v32 & op(v7, e3) = v30 & op(v7, e2) = v28 & op(v7, e1)
% 70.59/10.51 | = v26 & op(v7, e0) = v24 & op(v5, e3) = v22 & op(v5, e2) = v20 &
% 70.59/10.51 | op(v5, e1) = v18 & op(v5, e0) = v16 & op(v3, e3) = v14 & op(v3, e2) =
% 70.59/10.51 | v12 & op(v3, e1) = v10 & op(v3, e0) = v8 & op(v0, e3) = v6 & op(v0,
% 70.59/10.51 | e2) = v4 & op(v0, e1) = v2 & op(v0, e0) = v1 & op(e3, v31) = v79 &
% 70.59/10.51 | op(e3, v29) = v78 & op(e3, v27) = v77 & op(e3, v25) = v76 & op(e3,
% 70.59/10.51 | v23) = v75 & op(e3, v21) = v74 & op(e3, v19) = v73 & op(e3, v17) =
% 70.59/10.51 | v72 & op(e3, v15) = v71 & op(e3, v13) = v70 & op(e3, v11) = v69 &
% 70.59/10.51 | op(e3, v9) = v68 & op(e3, v7) = v67 & op(e3, v5) = v66 & op(e3, v3) =
% 70.59/10.51 | v65 & op(e3, v0) = v64 & op(e3, e3) = v31 & op(e3, e2) = v29 & op(e3,
% 70.59/10.51 | e1) = v27 & op(e3, e0) = v25 & op(e2, v31) = v63 & op(e2, v29) =
% 70.59/10.51 | v62 & op(e2, v27) = v61 & op(e2, v25) = v60 & op(e2, v23) = v59 &
% 70.59/10.51 | op(e2, v21) = v58 & op(e2, v19) = v57 & op(e2, v17) = v56 & op(e2,
% 70.59/10.51 | v15) = v55 & op(e2, v13) = v54 & op(e2, v11) = v53 & op(e2, v9) =
% 70.59/10.51 | v52 & op(e2, v7) = v51 & op(e2, v5) = v50 & op(e2, v3) = v49 & op(e2,
% 70.59/10.51 | v0) = v48 & op(e2, e3) = v23 & op(e2, e2) = v21 & op(e2, e1) = v19
% 70.59/10.51 | & op(e2, e0) = v17 & op(e1, v31) = v47 & op(e1, v29) = v46 & op(e1,
% 70.59/10.51 | v27) = v45 & op(e1, v25) = v44 & op(e1, v23) = v43 & op(e1, v21) =
% 70.59/10.51 | v42 & op(e1, v19) = v41 & op(e1, v17) = v40 & op(e1, v15) = v39 &
% 70.59/10.51 | op(e1, v13) = v38 & op(e1, v11) = v37 & op(e1, v9) = v36 & op(e1, v7)
% 70.59/10.51 | = v35 & op(e1, v5) = v34 & op(e1, v3) = v33 & op(e1, v0) = v32 &
% 70.59/10.51 | op(e1, e3) = v15 & op(e1, e2) = v13 & op(e1, e1) = v11 & op(e1, e0) =
% 70.59/10.51 | v9 & op(e0, v31) = v30 & op(e0, v29) = v28 & op(e0, v27) = v26 &
% 70.59/10.51 | op(e0, v25) = v24 & op(e0, v23) = v22 & op(e0, v21) = v20 & op(e0,
% 70.59/10.51 | v19) = v18 & op(e0, v17) = v16 & op(e0, v15) = v14 & op(e0, v13) =
% 70.59/10.51 | v12 & op(e0, v11) = v10 & op(e0, v9) = v8 & op(e0, v7) = v6 & op(e0,
% 70.59/10.51 | v5) = v4 & op(e0, v3) = v2 & op(e0, v0) = v1 & op(e0, e3) = v7 &
% 70.59/10.51 | op(e0, e2) = v5 & op(e0, e1) = v3 & op(e0, e0) = v0 & $i(v79) &
% 70.59/10.51 | $i(v78) & $i(v77) & $i(v76) & $i(v75) & $i(v74) & $i(v73) & $i(v72) &
% 70.59/10.51 | $i(v71) & $i(v70) & $i(v69) & $i(v68) & $i(v67) & $i(v66) & $i(v65) &
% 70.59/10.51 | $i(v64) & $i(v63) & $i(v62) & $i(v61) & $i(v60) & $i(v59) & $i(v58) &
% 70.59/10.51 | $i(v57) & $i(v56) & $i(v55) & $i(v54) & $i(v53) & $i(v52) & $i(v51) &
% 70.59/10.51 | $i(v50) & $i(v49) & $i(v48) & $i(v47) & $i(v46) & $i(v45) & $i(v44) &
% 70.59/10.51 | $i(v43) & $i(v42) & $i(v41) & $i(v40) & $i(v39) & $i(v38) & $i(v37) &
% 70.59/10.51 | $i(v36) & $i(v35) & $i(v34) & $i(v33) & $i(v32) & $i(v31) & $i(v30) &
% 70.59/10.51 | $i(v29) & $i(v28) & $i(v27) & $i(v26) & $i(v25) & $i(v24) & $i(v23) &
% 70.59/10.51 | $i(v22) & $i(v21) & $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) &
% 70.59/10.51 | $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) &
% 70.59/10.51 | $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1)
% 70.59/10.51 | & $i(v0))
% 70.59/10.51 |
% 70.59/10.51 | ALPHA: (ax3) implies:
% 70.59/10.51 | (3) op(e0, unit) = e0
% 70.59/10.51 | (4) op(e1, unit) = e1
% 70.59/10.51 | (5) op(e2, unit) = e2
% 70.59/10.51 | (6) op(e3, unit) = e3
% 70.59/10.51 | (7) op(unit, e2) = e2
% 70.59/10.51 | (8) unit = e3 | unit = e2 | unit = e1 | unit = e0
% 70.59/10.51 |
% 70.59/10.51 | ALPHA: (ax4) implies:
% 70.59/10.51 | (9) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : (inv(e3) = v3 &
% 70.59/10.51 | inv(e2) = v2 & inv(e1) = v1 & inv(e0) = v0 & op(v3, e3) = unit &
% 70.59/10.51 | op(v2, e2) = unit & op(v1, e1) = unit & op(v0, e0) = unit & op(e3,
% 70.59/10.51 | v3) = unit & op(e2, v2) = unit & op(e1, v1) = unit & op(e0, v0) =
% 70.59/10.51 | unit & $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v3 = e3 | v3 = e2 | v3 =
% 70.59/10.51 | e1 | v3 = e0) & (v2 = e3 | v2 = e2 | v2 = e1 | v2 = e0) & (v1 = e3
% 70.59/10.51 | | v1 = e2 | v1 = e1 | v1 = e0) & (v0 = e3 | v0 = e2 | v0 = e1 | v0
% 70.59/10.51 | = e0))
% 70.59/10.51 |
% 70.59/10.51 | ALPHA: (ax6) implies:
% 70.59/10.51 | (10) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : (inv(v3) = e3
% 70.59/10.51 | & inv(v2) = e2 & inv(v1) = e1 & inv(v0) = e0 & inv(e3) = v3 &
% 70.59/10.51 | inv(e2) = v2 & inv(e1) = v1 & inv(e0) = v0 & $i(v3) & $i(v2) &
% 70.59/10.51 | $i(v1) & $i(v0))
% 70.59/10.51 |
% 70.59/10.51 | ALPHA: (ax7) implies:
% 70.59/10.51 | (11) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : (inv(e3) = v3
% 70.59/10.51 | & inv(e2) = v2 & inv(e1) = v1 & inv(e0) = v0 & $i(v3) & $i(v2) &
% 70.59/10.51 | $i(v1) & $i(v0) & ( ~ (v3 = e2) | v2 = e3) & ( ~ (v3 = e1) | v1 =
% 70.59/10.51 | e3) & ( ~ (v3 = e0) | v0 = e3) & ( ~ (v2 = e3) | v3 = e2) & ( ~
% 70.59/10.51 | (v2 = e1) | v1 = e2) & ( ~ (v2 = e0) | v0 = e2) & ( ~ (v1 = e3) |
% 70.59/10.52 | v3 = e1) & ( ~ (v1 = e2) | v2 = e1) & ( ~ (v1 = e0) | v0 = e1) & (
% 70.59/10.52 | ~ (v0 = e3) | v3 = e0) & ( ~ (v0 = e2) | v2 = e0) & ( ~ (v0 = e1)
% 70.59/10.52 | | v1 = e0))
% 70.59/10.52 |
% 70.59/10.52 | ALPHA: (ax8) implies:
% 70.59/10.52 | (12) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ( ~ (v3 = v2)
% 70.59/10.52 | & ~ (v3 = v1) & ~ (v3 = v0) & ~ (v2 = v1) & ~ (v2 = v0) & ~ (v1
% 70.59/10.52 | = v0) & inv(e3) = v3 & inv(e2) = v2 & inv(e1) = v1 & inv(e0) = v0
% 70.59/10.52 | & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 70.59/10.52 |
% 70.59/10.52 | ALPHA: (ax9) implies:
% 70.59/10.52 | (13) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 70.59/10.52 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 70.59/10.52 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14:
% 70.59/10.52 | $i] : ? [v15: $i] : ( ~ (v15 = v14) & ~ (v15 = v13) & ~ (v15 =
% 70.59/10.52 | v12) & ~ (v15 = v11) & ~ (v15 = v7) & ~ (v15 = v3) & ~ (v14 =
% 70.59/10.52 | v13) & ~ (v14 = v12) & ~ (v14 = v10) & ~ (v14 = v6) & ~ (v14 =
% 70.59/10.52 | v2) & ~ (v13 = v12) & ~ (v13 = v9) & ~ (v13 = v5) & ~ (v13 =
% 70.59/10.52 | v1) & ~ (v12 = v8) & ~ (v12 = v4) & ~ (v12 = v0) & ~ (v11 =
% 70.59/10.52 | v10) & ~ (v11 = v9) & ~ (v11 = v8) & ~ (v11 = v7) & ~ (v11 =
% 70.59/10.52 | v3) & ~ (v10 = v9) & ~ (v10 = v8) & ~ (v10 = v6) & ~ (v10 =
% 70.59/10.52 | v2) & ~ (v9 = v8) & ~ (v9 = v5) & ~ (v9 = v1) & ~ (v8 = v4) &
% 70.59/10.52 | ~ (v8 = v0) & ~ (v7 = v6) & ~ (v7 = v5) & ~ (v7 = v4) & ~ (v7 =
% 70.59/10.52 | v3) & ~ (v6 = v5) & ~ (v6 = v4) & ~ (v6 = v2) & ~ (v5 = v4) &
% 70.59/10.52 | ~ (v5 = v1) & ~ (v4 = v0) & ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 =
% 70.59/10.52 | v0) & ~ (v2 = v1) & ~ (v2 = v0) & ~ (v1 = v0) & op(e3, e3) =
% 70.59/10.52 | v15 & op(e3, e2) = v11 & op(e3, e1) = v7 & op(e3, e0) = v3 & op(e2,
% 70.59/10.52 | e3) = v14 & op(e2, e2) = v10 & op(e2, e1) = v6 & op(e2, e0) = v2 &
% 70.59/10.52 | op(e1, e3) = v13 & op(e1, e2) = v9 & op(e1, e1) = v5 & op(e1, e0) =
% 70.59/10.52 | v1 & op(e0, e3) = v12 & op(e0, e2) = v8 & op(e0, e1) = v4 & op(e0,
% 70.59/10.52 | e0) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) &
% 70.59/10.52 | $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 70.59/10.52 | $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 70.59/10.52 |
% 70.59/10.52 | ALPHA: (ax10) implies:
% 70.59/10.52 | (14) ~ (e2 = e0)
% 70.59/10.52 | (15) ~ (e2 = e1)
% 70.59/10.52 | (16) ~ (e3 = e0)
% 70.59/10.52 | (17) ~ (e3 = e1)
% 70.59/10.52 | (18) ~ (e3 = e2)
% 70.59/10.52 |
% 70.59/10.52 | ALPHA: (ax11) implies:
% 70.59/10.52 | (19) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : (op(e3, e3) =
% 70.59/10.52 | v3 & op(e2, e2) = v2 & op(e1, e1) = v1 & op(e0, e0) = v0 & $i(v3) &
% 70.59/10.52 | $i(v2) & $i(v1) & $i(v0) & ((v3 = e3 & v2 = e3 & v1 = e3 & v0 = e3)
% 70.59/10.52 | | (v3 = e2 & v2 = e2 & v1 = e2 & v0 = e2) | (v3 = e1 & v2 = e1 &
% 70.59/10.52 | v1 = e1 & v0 = e1) | (v3 = e0 & v2 = e0 & v1 = e0 & v0 = e0)))
% 70.59/10.52 |
% 70.59/10.52 | ALPHA: (ax12) implies:
% 70.59/10.52 | (20) ? [v0: $i] : ? [v1: $i] : (op(e3, e3) = v0 & op(e2, e3) = v1 &
% 70.59/10.52 | $i(v1) & $i(v0) & ( ~ (v1 = e1) | ~ (v0 = e0)))
% 70.59/10.52 |
% 70.59/10.52 | ALPHA: (ax13) implies:
% 70.59/10.52 | (21) ? [v0: $i] : ? [v1: $i] : (op(e3, e2) = v1 & op(e2, e2) = v0 &
% 70.59/10.52 | $i(v1) & $i(v0) & ( ~ (v1 = e1) | ~ (v0 = e0)))
% 70.59/10.52 |
% 70.59/10.52 | ALPHA: (ax14) implies:
% 70.59/10.52 | (22) ? [v0: $i] : ? [v1: $i] : (op(e3, e3) = v0 & op(e1, e3) = v1 &
% 70.59/10.52 | $i(v1) & $i(v0) & ( ~ (v1 = e2) | ~ (v0 = e0)))
% 70.59/10.52 |
% 70.59/10.52 | ALPHA: (ax15) implies:
% 70.59/10.52 | (23) ? [v0: $i] : ? [v1: $i] : (op(e3, e1) = v1 & op(e1, e1) = v0 &
% 70.59/10.52 | $i(v1) & $i(v0) & ( ~ (v1 = e2) | ~ (v0 = e0)))
% 70.59/10.52 |
% 70.59/10.52 | ALPHA: (ax16) implies:
% 70.59/10.52 | (24) ? [v0: $i] : ? [v1: $i] : (op(e2, e2) = v0 & op(e1, e2) = v1 &
% 70.59/10.52 | $i(v1) & $i(v0) & ( ~ (v1 = e3) | ~ (v0 = e0)))
% 70.59/10.52 |
% 70.59/10.53 | ALPHA: (ax17) implies:
% 70.59/10.53 | (25) ? [v0: $i] : ? [v1: $i] : (op(e2, e1) = v1 & op(e1, e1) = v0 &
% 70.59/10.53 | $i(v1) & $i(v0) & ( ~ (v1 = e3) | ~ (v0 = e0)))
% 70.59/10.53 |
% 70.59/10.53 | ALPHA: (ax18) implies:
% 70.59/10.53 | (26) ? [v0: $i] : ? [v1: $i] : (op(e3, e3) = v0 & op(e2, e3) = v1 &
% 70.59/10.53 | $i(v1) & $i(v0) & ( ~ (v1 = e0) | ~ (v0 = e1)))
% 70.59/10.53 |
% 70.59/10.53 | ALPHA: (ax19) implies:
% 70.59/10.53 | (27) ? [v0: $i] : ? [v1: $i] : (op(e3, e2) = v1 & op(e2, e2) = v0 &
% 70.59/10.53 | $i(v1) & $i(v0) & ( ~ (v1 = e0) | ~ (v0 = e1)))
% 70.59/10.53 |
% 70.59/10.53 | ALPHA: (ax20) implies:
% 70.59/10.53 | (28) ? [v0: $i] : ? [v1: $i] : (op(e3, e3) = v0 & op(e0, e3) = v1 &
% 70.59/10.53 | $i(v1) & $i(v0) & ( ~ (v1 = e2) | ~ (v0 = e1)))
% 70.59/10.53 |
% 70.59/10.53 | ALPHA: (ax21) implies:
% 70.59/10.53 | (29) ? [v0: $i] : ? [v1: $i] : (op(e3, e0) = v1 & op(e0, e0) = v0 &
% 70.59/10.53 | $i(v1) & $i(v0) & ( ~ (v1 = e2) | ~ (v0 = e1)))
% 70.59/10.53 |
% 70.59/10.53 | ALPHA: (ax22) implies:
% 70.59/10.53 | (30) ? [v0: $i] : ? [v1: $i] : (op(e2, e2) = v0 & op(e0, e2) = v1 &
% 70.59/10.53 | $i(v1) & $i(v0) & ( ~ (v1 = e3) | ~ (v0 = e1)))
% 70.59/10.53 |
% 70.59/10.53 | ALPHA: (ax23) implies:
% 70.59/10.53 | (31) ? [v0: $i] : ? [v1: $i] : (op(e2, e0) = v1 & op(e0, e0) = v0 &
% 70.59/10.53 | $i(v1) & $i(v0) & ( ~ (v1 = e3) | ~ (v0 = e1)))
% 70.59/10.53 |
% 70.59/10.53 | ALPHA: (ax24) implies:
% 70.59/10.53 | (32) ? [v0: $i] : ? [v1: $i] : (op(e3, e3) = v0 & op(e1, e3) = v1 &
% 70.59/10.53 | $i(v1) & $i(v0) & ( ~ (v1 = e0) | ~ (v0 = e2)))
% 70.59/10.53 |
% 70.59/10.53 | ALPHA: (ax25) implies:
% 70.59/10.53 | (33) ? [v0: $i] : ? [v1: $i] : (op(e3, e1) = v1 & op(e1, e1) = v0 &
% 70.59/10.53 | $i(v1) & $i(v0) & ( ~ (v1 = e0) | ~ (v0 = e2)))
% 70.59/10.53 |
% 70.59/10.53 | ALPHA: (ax26) implies:
% 70.59/10.53 | (34) ? [v0: $i] : ? [v1: $i] : (op(e3, e3) = v0 & op(e0, e3) = v1 &
% 70.59/10.53 | $i(v1) & $i(v0) & ( ~ (v1 = e1) | ~ (v0 = e2)))
% 70.59/10.53 |
% 70.59/10.53 | ALPHA: (ax27) implies:
% 70.59/10.53 | (35) ? [v0: $i] : ? [v1: $i] : (op(e3, e0) = v1 & op(e0, e0) = v0 &
% 70.59/10.53 | $i(v1) & $i(v0) & ( ~ (v1 = e1) | ~ (v0 = e2)))
% 70.59/10.53 |
% 70.59/10.53 | ALPHA: (ax28) implies:
% 70.59/10.53 | (36) ? [v0: $i] : ? [v1: $i] : (op(e1, e1) = v0 & op(e0, e1) = v1 &
% 70.59/10.53 | $i(v1) & $i(v0) & ( ~ (v1 = e3) | ~ (v0 = e2)))
% 70.59/10.53 |
% 70.59/10.53 | ALPHA: (ax29) implies:
% 70.59/10.53 | (37) ? [v0: $i] : ? [v1: $i] : (op(e1, e0) = v1 & op(e0, e0) = v0 &
% 70.59/10.53 | $i(v1) & $i(v0) & ( ~ (v1 = e3) | ~ (v0 = e2)))
% 70.59/10.53 |
% 70.59/10.53 | ALPHA: (ax30) implies:
% 70.75/10.53 | (38) ? [v0: $i] : ? [v1: $i] : (op(e2, e2) = v0 & op(e1, e2) = v1 &
% 70.75/10.53 | $i(v1) & $i(v0) & ( ~ (v1 = e0) | ~ (v0 = e3)))
% 70.75/10.53 |
% 70.75/10.53 | ALPHA: (ax31) implies:
% 70.75/10.53 | (39) ? [v0: $i] : ? [v1: $i] : (op(e2, e1) = v1 & op(e1, e1) = v0 &
% 70.75/10.53 | $i(v1) & $i(v0) & ( ~ (v1 = e0) | ~ (v0 = e3)))
% 70.75/10.53 |
% 70.75/10.53 | ALPHA: (ax32) implies:
% 70.75/10.53 | (40) ? [v0: $i] : ? [v1: $i] : (op(e2, e2) = v0 & op(e0, e2) = v1 &
% 70.75/10.53 | $i(v1) & $i(v0) & ( ~ (v1 = e1) | ~ (v0 = e3)))
% 70.75/10.53 |
% 70.75/10.53 | ALPHA: (ax33) implies:
% 70.75/10.53 | (41) ? [v0: $i] : ? [v1: $i] : (op(e2, e0) = v1 & op(e0, e0) = v0 &
% 70.75/10.53 | $i(v1) & $i(v0) & ( ~ (v1 = e1) | ~ (v0 = e3)))
% 70.75/10.53 |
% 70.75/10.53 | ALPHA: (ax34) implies:
% 70.75/10.53 | (42) ? [v0: $i] : ? [v1: $i] : (op(e1, e1) = v0 & op(e0, e1) = v1 &
% 70.75/10.53 | $i(v1) & $i(v0) & ( ~ (v1 = e2) | ~ (v0 = e3)))
% 70.75/10.53 |
% 70.75/10.53 | ALPHA: (ax35) implies:
% 70.75/10.54 | (43) ? [v0: $i] : ? [v1: $i] : (op(e1, e0) = v1 & op(e0, e0) = v0 &
% 70.75/10.54 | $i(v1) & $i(v0) & ( ~ (v1 = e2) | ~ (v0 = e3)))
% 70.75/10.54 |
% 70.75/10.54 | ALPHA: (function-axioms) implies:
% 70.75/10.54 | (44) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (inv(v2) = v1)
% 70.75/10.54 | | ~ (inv(v2) = v0))
% 70.75/10.54 | (45) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 70.75/10.54 | (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 70.75/10.54 |
% 70.75/10.54 | DELTA: instantiating (22) with fresh symbols all_4_0, all_4_1 gives:
% 70.75/10.54 | (46) op(e3, e3) = all_4_1 & op(e1, e3) = all_4_0 & $i(all_4_0) &
% 70.75/10.54 | $i(all_4_1) & ( ~ (all_4_0 = e2) | ~ (all_4_1 = e0))
% 70.75/10.54 |
% 70.75/10.54 | ALPHA: (46) implies:
% 70.75/10.54 | (47) op(e1, e3) = all_4_0
% 70.75/10.54 | (48) op(e3, e3) = all_4_1
% 70.75/10.54 | (49) ~ (all_4_0 = e2) | ~ (all_4_1 = e0)
% 70.75/10.54 |
% 70.75/10.54 | DELTA: instantiating (20) with fresh symbols all_6_0, all_6_1 gives:
% 70.75/10.54 | (50) op(e3, e3) = all_6_1 & op(e2, e3) = all_6_0 & $i(all_6_0) &
% 70.75/10.54 | $i(all_6_1) & ( ~ (all_6_0 = e1) | ~ (all_6_1 = e0))
% 70.75/10.54 |
% 70.75/10.54 | ALPHA: (50) implies:
% 70.75/10.54 | (51) op(e2, e3) = all_6_0
% 70.75/10.54 | (52) op(e3, e3) = all_6_1
% 70.75/10.54 | (53) ~ (all_6_0 = e1) | ~ (all_6_1 = e0)
% 70.75/10.54 |
% 70.75/10.54 | DELTA: instantiating (37) with fresh symbols all_8_0, all_8_1 gives:
% 70.75/10.54 | (54) op(e1, e0) = all_8_0 & op(e0, e0) = all_8_1 & $i(all_8_0) &
% 70.75/10.54 | $i(all_8_1) & ( ~ (all_8_0 = e3) | ~ (all_8_1 = e2))
% 70.75/10.54 |
% 70.75/10.54 | ALPHA: (54) implies:
% 70.75/10.54 | (55) op(e0, e0) = all_8_1
% 70.75/10.54 | (56) op(e1, e0) = all_8_0
% 70.75/10.54 | (57) ~ (all_8_0 = e3) | ~ (all_8_1 = e2)
% 70.75/10.54 |
% 70.75/10.54 | DELTA: instantiating (24) with fresh symbols all_10_0, all_10_1 gives:
% 70.75/10.54 | (58) op(e2, e2) = all_10_1 & op(e1, e2) = all_10_0 & $i(all_10_0) &
% 70.75/10.54 | $i(all_10_1) & ( ~ (all_10_0 = e3) | ~ (all_10_1 = e0))
% 70.75/10.54 |
% 70.75/10.54 | ALPHA: (58) implies:
% 70.75/10.54 | (59) op(e1, e2) = all_10_0
% 70.75/10.54 | (60) op(e2, e2) = all_10_1
% 70.75/10.54 | (61) ~ (all_10_0 = e3) | ~ (all_10_1 = e0)
% 70.75/10.54 |
% 70.75/10.54 | DELTA: instantiating (25) with fresh symbols all_12_0, all_12_1 gives:
% 70.75/10.54 | (62) op(e2, e1) = all_12_0 & op(e1, e1) = all_12_1 & $i(all_12_0) &
% 70.75/10.54 | $i(all_12_1) & ( ~ (all_12_0 = e3) | ~ (all_12_1 = e0))
% 70.75/10.54 |
% 70.75/10.54 | ALPHA: (62) implies:
% 70.75/10.54 | (63) op(e1, e1) = all_12_1
% 70.75/10.54 | (64) op(e2, e1) = all_12_0
% 70.75/10.54 | (65) ~ (all_12_0 = e3) | ~ (all_12_1 = e0)
% 70.75/10.54 |
% 70.75/10.54 | DELTA: instantiating (27) with fresh symbols all_14_0, all_14_1 gives:
% 70.75/10.54 | (66) op(e3, e2) = all_14_0 & op(e2, e2) = all_14_1 & $i(all_14_0) &
% 70.75/10.54 | $i(all_14_1) & ( ~ (all_14_0 = e0) | ~ (all_14_1 = e1))
% 70.75/10.54 |
% 70.75/10.54 | ALPHA: (66) implies:
% 70.75/10.54 | (67) op(e2, e2) = all_14_1
% 70.75/10.54 | (68) op(e3, e2) = all_14_0
% 70.75/10.54 | (69) ~ (all_14_0 = e0) | ~ (all_14_1 = e1)
% 70.75/10.54 |
% 70.75/10.54 | DELTA: instantiating (39) with fresh symbols all_16_0, all_16_1 gives:
% 70.75/10.54 | (70) op(e2, e1) = all_16_0 & op(e1, e1) = all_16_1 & $i(all_16_0) &
% 70.75/10.54 | $i(all_16_1) & ( ~ (all_16_0 = e0) | ~ (all_16_1 = e3))
% 70.75/10.54 |
% 70.75/10.54 | ALPHA: (70) implies:
% 70.75/10.54 | (71) op(e1, e1) = all_16_1
% 70.75/10.54 | (72) op(e2, e1) = all_16_0
% 70.75/10.54 | (73) ~ (all_16_0 = e0) | ~ (all_16_1 = e3)
% 70.75/10.54 |
% 70.75/10.54 | DELTA: instantiating (38) with fresh symbols all_18_0, all_18_1 gives:
% 70.75/10.54 | (74) op(e2, e2) = all_18_1 & op(e1, e2) = all_18_0 & $i(all_18_0) &
% 70.75/10.54 | $i(all_18_1) & ( ~ (all_18_0 = e0) | ~ (all_18_1 = e3))
% 70.75/10.54 |
% 70.75/10.54 | ALPHA: (74) implies:
% 70.75/10.54 | (75) op(e1, e2) = all_18_0
% 70.75/10.54 | (76) op(e2, e2) = all_18_1
% 70.75/10.54 | (77) ~ (all_18_0 = e0) | ~ (all_18_1 = e3)
% 70.75/10.54 |
% 70.75/10.54 | DELTA: instantiating (40) with fresh symbols all_20_0, all_20_1 gives:
% 70.75/10.55 | (78) op(e2, e2) = all_20_1 & op(e0, e2) = all_20_0 & $i(all_20_0) &
% 70.75/10.55 | $i(all_20_1) & ( ~ (all_20_0 = e1) | ~ (all_20_1 = e3))
% 70.75/10.55 |
% 70.75/10.55 | ALPHA: (78) implies:
% 70.75/10.55 | (79) op(e0, e2) = all_20_0
% 70.75/10.55 | (80) op(e2, e2) = all_20_1
% 70.75/10.55 | (81) ~ (all_20_0 = e1) | ~ (all_20_1 = e3)
% 70.75/10.55 |
% 70.75/10.55 | DELTA: instantiating (41) with fresh symbols all_22_0, all_22_1 gives:
% 70.75/10.55 | (82) op(e2, e0) = all_22_0 & op(e0, e0) = all_22_1 & $i(all_22_0) &
% 70.75/10.55 | $i(all_22_1) & ( ~ (all_22_0 = e1) | ~ (all_22_1 = e3))
% 70.75/10.55 |
% 70.75/10.55 | ALPHA: (82) implies:
% 70.75/10.55 | (83) op(e0, e0) = all_22_1
% 70.75/10.55 | (84) op(e2, e0) = all_22_0
% 70.75/10.55 | (85) ~ (all_22_0 = e1) | ~ (all_22_1 = e3)
% 70.75/10.55 |
% 70.75/10.55 | DELTA: instantiating (43) with fresh symbols all_24_0, all_24_1 gives:
% 70.75/10.55 | (86) op(e1, e0) = all_24_0 & op(e0, e0) = all_24_1 & $i(all_24_0) &
% 70.75/10.55 | $i(all_24_1) & ( ~ (all_24_0 = e2) | ~ (all_24_1 = e3))
% 70.75/10.55 |
% 70.75/10.55 | ALPHA: (86) implies:
% 70.75/10.55 | (87) op(e0, e0) = all_24_1
% 70.75/10.55 | (88) op(e1, e0) = all_24_0
% 70.75/10.55 | (89) ~ (all_24_0 = e2) | ~ (all_24_1 = e3)
% 70.75/10.55 |
% 70.75/10.55 | DELTA: instantiating (21) with fresh symbols all_26_0, all_26_1 gives:
% 70.75/10.55 | (90) op(e3, e2) = all_26_0 & op(e2, e2) = all_26_1 & $i(all_26_0) &
% 70.75/10.55 | $i(all_26_1) & ( ~ (all_26_0 = e1) | ~ (all_26_1 = e0))
% 70.75/10.55 |
% 70.75/10.55 | ALPHA: (90) implies:
% 70.75/10.55 | (91) op(e2, e2) = all_26_1
% 70.75/10.55 | (92) op(e3, e2) = all_26_0
% 70.75/10.55 | (93) ~ (all_26_0 = e1) | ~ (all_26_1 = e0)
% 70.75/10.55 |
% 70.75/10.55 | DELTA: instantiating (28) with fresh symbols all_28_0, all_28_1 gives:
% 70.75/10.55 | (94) op(e3, e3) = all_28_1 & op(e0, e3) = all_28_0 & $i(all_28_0) &
% 70.75/10.55 | $i(all_28_1) & ( ~ (all_28_0 = e2) | ~ (all_28_1 = e1))
% 70.75/10.55 |
% 70.75/10.55 | ALPHA: (94) implies:
% 70.75/10.55 | (95) op(e0, e3) = all_28_0
% 70.75/10.55 | (96) op(e3, e3) = all_28_1
% 70.75/10.55 | (97) ~ (all_28_0 = e2) | ~ (all_28_1 = e1)
% 70.75/10.55 |
% 70.75/10.55 | DELTA: instantiating (26) with fresh symbols all_30_0, all_30_1 gives:
% 70.75/10.55 | (98) op(e3, e3) = all_30_1 & op(e2, e3) = all_30_0 & $i(all_30_0) &
% 70.75/10.55 | $i(all_30_1) & ( ~ (all_30_0 = e0) | ~ (all_30_1 = e1))
% 70.75/10.55 |
% 70.75/10.55 | ALPHA: (98) implies:
% 70.75/10.55 | (99) op(e2, e3) = all_30_0
% 70.75/10.55 | (100) op(e3, e3) = all_30_1
% 70.75/10.55 | (101) ~ (all_30_0 = e0) | ~ (all_30_1 = e1)
% 70.75/10.55 |
% 70.75/10.55 | DELTA: instantiating (32) with fresh symbols all_32_0, all_32_1 gives:
% 70.75/10.55 | (102) op(e3, e3) = all_32_1 & op(e1, e3) = all_32_0 & $i(all_32_0) &
% 70.75/10.55 | $i(all_32_1) & ( ~ (all_32_0 = e0) | ~ (all_32_1 = e2))
% 70.75/10.55 |
% 70.75/10.55 | ALPHA: (102) implies:
% 70.75/10.55 | (103) op(e1, e3) = all_32_0
% 70.75/10.55 | (104) op(e3, e3) = all_32_1
% 70.75/10.55 | (105) ~ (all_32_0 = e0) | ~ (all_32_1 = e2)
% 70.75/10.55 |
% 70.75/10.55 | DELTA: instantiating (34) with fresh symbols all_34_0, all_34_1 gives:
% 70.75/10.55 | (106) op(e3, e3) = all_34_1 & op(e0, e3) = all_34_0 & $i(all_34_0) &
% 70.75/10.55 | $i(all_34_1) & ( ~ (all_34_0 = e1) | ~ (all_34_1 = e2))
% 70.75/10.55 |
% 70.75/10.55 | ALPHA: (106) implies:
% 70.75/10.55 | (107) op(e0, e3) = all_34_0
% 70.75/10.55 | (108) op(e3, e3) = all_34_1
% 70.75/10.55 | (109) ~ (all_34_0 = e1) | ~ (all_34_1 = e2)
% 70.75/10.55 |
% 70.75/10.55 | DELTA: instantiating (29) with fresh symbols all_36_0, all_36_1 gives:
% 70.75/10.55 | (110) op(e3, e0) = all_36_0 & op(e0, e0) = all_36_1 & $i(all_36_0) &
% 70.75/10.55 | $i(all_36_1) & ( ~ (all_36_0 = e2) | ~ (all_36_1 = e1))
% 70.75/10.55 |
% 70.75/10.55 | ALPHA: (110) implies:
% 70.75/10.55 | (111) op(e0, e0) = all_36_1
% 70.75/10.55 | (112) op(e3, e0) = all_36_0
% 70.75/10.55 | (113) ~ (all_36_0 = e2) | ~ (all_36_1 = e1)
% 70.75/10.55 |
% 70.75/10.55 | DELTA: instantiating (31) with fresh symbols all_38_0, all_38_1 gives:
% 70.75/10.55 | (114) op(e2, e0) = all_38_0 & op(e0, e0) = all_38_1 & $i(all_38_0) &
% 70.75/10.55 | $i(all_38_1) & ( ~ (all_38_0 = e3) | ~ (all_38_1 = e1))
% 70.75/10.55 |
% 70.75/10.55 | ALPHA: (114) implies:
% 70.75/10.55 | (115) op(e0, e0) = all_38_1
% 70.75/10.55 | (116) op(e2, e0) = all_38_0
% 70.75/10.55 | (117) ~ (all_38_0 = e3) | ~ (all_38_1 = e1)
% 70.75/10.55 |
% 70.75/10.55 | DELTA: instantiating (33) with fresh symbols all_40_0, all_40_1 gives:
% 70.75/10.55 | (118) op(e3, e1) = all_40_0 & op(e1, e1) = all_40_1 & $i(all_40_0) &
% 70.75/10.55 | $i(all_40_1) & ( ~ (all_40_0 = e0) | ~ (all_40_1 = e2))
% 70.75/10.55 |
% 70.75/10.55 | ALPHA: (118) implies:
% 70.75/10.55 | (119) op(e1, e1) = all_40_1
% 70.75/10.55 | (120) op(e3, e1) = all_40_0
% 70.75/10.55 | (121) ~ (all_40_0 = e0) | ~ (all_40_1 = e2)
% 70.75/10.55 |
% 70.75/10.55 | DELTA: instantiating (36) with fresh symbols all_42_0, all_42_1 gives:
% 70.75/10.55 | (122) op(e1, e1) = all_42_1 & op(e0, e1) = all_42_0 & $i(all_42_0) &
% 70.75/10.55 | $i(all_42_1) & ( ~ (all_42_0 = e3) | ~ (all_42_1 = e2))
% 70.75/10.55 |
% 70.75/10.55 | ALPHA: (122) implies:
% 70.75/10.55 | (123) op(e0, e1) = all_42_0
% 70.75/10.55 | (124) op(e1, e1) = all_42_1
% 70.75/10.55 | (125) ~ (all_42_0 = e3) | ~ (all_42_1 = e2)
% 70.75/10.55 |
% 70.75/10.55 | DELTA: instantiating (35) with fresh symbols all_44_0, all_44_1 gives:
% 70.75/10.56 | (126) op(e3, e0) = all_44_0 & op(e0, e0) = all_44_1 & $i(all_44_0) &
% 70.75/10.56 | $i(all_44_1) & ( ~ (all_44_0 = e1) | ~ (all_44_1 = e2))
% 70.75/10.56 |
% 70.75/10.56 | ALPHA: (126) implies:
% 70.75/10.56 | (127) op(e0, e0) = all_44_1
% 70.75/10.56 | (128) op(e3, e0) = all_44_0
% 70.75/10.56 | (129) ~ (all_44_0 = e1) | ~ (all_44_1 = e2)
% 70.75/10.56 |
% 70.75/10.56 | DELTA: instantiating (30) with fresh symbols all_46_0, all_46_1 gives:
% 70.75/10.56 | (130) op(e2, e2) = all_46_1 & op(e0, e2) = all_46_0 & $i(all_46_0) &
% 70.75/10.56 | $i(all_46_1) & ( ~ (all_46_0 = e3) | ~ (all_46_1 = e1))
% 70.75/10.56 |
% 70.75/10.56 | ALPHA: (130) implies:
% 70.75/10.56 | (131) op(e0, e2) = all_46_0
% 70.75/10.56 | (132) op(e2, e2) = all_46_1
% 70.75/10.56 | (133) ~ (all_46_0 = e3) | ~ (all_46_1 = e1)
% 70.75/10.56 |
% 70.75/10.56 | DELTA: instantiating (23) with fresh symbols all_48_0, all_48_1 gives:
% 70.75/10.56 | (134) op(e3, e1) = all_48_0 & op(e1, e1) = all_48_1 & $i(all_48_0) &
% 70.75/10.56 | $i(all_48_1) & ( ~ (all_48_0 = e2) | ~ (all_48_1 = e0))
% 70.75/10.56 |
% 70.75/10.56 | ALPHA: (134) implies:
% 70.75/10.56 | (135) op(e1, e1) = all_48_1
% 70.75/10.56 | (136) op(e3, e1) = all_48_0
% 70.75/10.56 | (137) ~ (all_48_0 = e2) | ~ (all_48_1 = e0)
% 70.75/10.56 |
% 70.75/10.56 | DELTA: instantiating (42) with fresh symbols all_50_0, all_50_1 gives:
% 70.75/10.56 | (138) op(e1, e1) = all_50_1 & op(e0, e1) = all_50_0 & $i(all_50_0) &
% 70.75/10.56 | $i(all_50_1) & ( ~ (all_50_0 = e2) | ~ (all_50_1 = e3))
% 70.75/10.56 |
% 70.75/10.56 | ALPHA: (138) implies:
% 70.75/10.56 | (139) op(e0, e1) = all_50_0
% 70.75/10.56 | (140) op(e1, e1) = all_50_1
% 70.75/10.56 | (141) ~ (all_50_0 = e2) | ~ (all_50_1 = e3)
% 70.75/10.56 |
% 70.75/10.56 | DELTA: instantiating (10) with fresh symbols all_52_0, all_52_1, all_52_2,
% 70.75/10.56 | all_52_3 gives:
% 70.75/10.56 | (142) inv(all_52_0) = e3 & inv(all_52_1) = e2 & inv(all_52_2) = e1 &
% 70.75/10.56 | inv(all_52_3) = e0 & inv(e3) = all_52_0 & inv(e2) = all_52_1 &
% 70.75/10.56 | inv(e1) = all_52_2 & inv(e0) = all_52_3 & $i(all_52_0) & $i(all_52_1)
% 70.75/10.56 | & $i(all_52_2) & $i(all_52_3)
% 70.75/10.56 |
% 70.75/10.56 | ALPHA: (142) implies:
% 70.75/10.56 | (143) inv(e0) = all_52_3
% 70.75/10.56 | (144) inv(e1) = all_52_2
% 70.75/10.56 | (145) inv(e2) = all_52_1
% 70.75/10.56 | (146) inv(e3) = all_52_0
% 70.75/10.56 |
% 70.75/10.56 | DELTA: instantiating (12) with fresh symbols all_54_0, all_54_1, all_54_2,
% 70.75/10.56 | all_54_3 gives:
% 70.75/10.56 | (147) ~ (all_54_0 = all_54_1) & ~ (all_54_0 = all_54_2) & ~ (all_54_0 =
% 70.75/10.56 | all_54_3) & ~ (all_54_1 = all_54_2) & ~ (all_54_1 = all_54_3) &
% 70.75/10.56 | ~ (all_54_2 = all_54_3) & inv(e3) = all_54_0 & inv(e2) = all_54_1 &
% 70.75/10.56 | inv(e1) = all_54_2 & inv(e0) = all_54_3 & $i(all_54_0) & $i(all_54_1)
% 70.75/10.56 | & $i(all_54_2) & $i(all_54_3)
% 70.75/10.56 |
% 70.75/10.56 | ALPHA: (147) implies:
% 70.75/10.56 | (148) ~ (all_54_2 = all_54_3)
% 70.75/10.56 | (149) ~ (all_54_1 = all_54_3)
% 70.75/10.56 | (150) ~ (all_54_1 = all_54_2)
% 70.75/10.56 | (151) ~ (all_54_0 = all_54_3)
% 70.75/10.56 | (152) ~ (all_54_0 = all_54_2)
% 70.75/10.56 | (153) ~ (all_54_0 = all_54_1)
% 70.75/10.56 | (154) inv(e0) = all_54_3
% 70.75/10.56 | (155) inv(e1) = all_54_2
% 70.75/10.56 | (156) inv(e2) = all_54_1
% 70.75/10.56 | (157) inv(e3) = all_54_0
% 70.75/10.56 |
% 70.75/10.56 | DELTA: instantiating (19) with fresh symbols all_56_0, all_56_1, all_56_2,
% 70.75/10.56 | all_56_3 gives:
% 70.75/10.56 | (158) op(e3, e3) = all_56_0 & op(e2, e2) = all_56_1 & op(e1, e1) = all_56_2
% 70.75/10.56 | & op(e0, e0) = all_56_3 & $i(all_56_0) & $i(all_56_1) & $i(all_56_2)
% 70.75/10.56 | & $i(all_56_3) & ((all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 &
% 70.75/10.56 | all_56_3 = e3) | (all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 &
% 70.75/10.56 | all_56_3 = e2) | (all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 &
% 70.75/10.56 | all_56_3 = e1) | (all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 &
% 70.75/10.56 | all_56_3 = e0))
% 70.75/10.56 |
% 70.75/10.56 | ALPHA: (158) implies:
% 70.75/10.56 | (159) op(e0, e0) = all_56_3
% 70.75/10.56 | (160) op(e1, e1) = all_56_2
% 70.75/10.56 | (161) op(e2, e2) = all_56_1
% 70.75/10.56 | (162) op(e3, e3) = all_56_0
% 70.75/10.56 | (163) (all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 & all_56_3 = e3) |
% 70.75/10.56 | (all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 & all_56_3 = e2) |
% 70.75/10.56 | (all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 & all_56_3 = e1) |
% 70.75/10.56 | (all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 & all_56_3 = e0)
% 70.75/10.56 |
% 70.75/10.56 | DELTA: instantiating (11) with fresh symbols all_58_0, all_58_1, all_58_2,
% 70.75/10.56 | all_58_3 gives:
% 70.75/10.56 | (164) inv(e3) = all_58_0 & inv(e2) = all_58_1 & inv(e1) = all_58_2 &
% 70.75/10.56 | inv(e0) = all_58_3 & $i(all_58_0) & $i(all_58_1) & $i(all_58_2) &
% 70.75/10.56 | $i(all_58_3) & ( ~ (all_58_0 = e2) | all_58_1 = e3) & ( ~ (all_58_0 =
% 70.75/10.56 | e1) | all_58_2 = e3) & ( ~ (all_58_0 = e0) | all_58_3 = e3) & ( ~
% 70.75/10.56 | (all_58_1 = e3) | all_58_0 = e2) & ( ~ (all_58_1 = e1) | all_58_2 =
% 70.75/10.56 | e2) & ( ~ (all_58_1 = e0) | all_58_3 = e2) & ( ~ (all_58_2 = e3) |
% 70.75/10.56 | all_58_0 = e1) & ( ~ (all_58_2 = e2) | all_58_1 = e1) & ( ~
% 70.75/10.56 | (all_58_2 = e0) | all_58_3 = e1) & ( ~ (all_58_3 = e3) | all_58_0 =
% 70.75/10.56 | e0) & ( ~ (all_58_3 = e2) | all_58_1 = e0) & ( ~ (all_58_3 = e1) |
% 70.75/10.56 | all_58_2 = e0)
% 70.75/10.56 |
% 70.75/10.56 | ALPHA: (164) implies:
% 70.75/10.57 | (165) inv(e0) = all_58_3
% 70.75/10.57 | (166) inv(e1) = all_58_2
% 70.75/10.57 | (167) inv(e2) = all_58_1
% 70.75/10.57 | (168) inv(e3) = all_58_0
% 70.75/10.57 | (169) ~ (all_58_3 = e1) | all_58_2 = e0
% 70.75/10.57 | (170) ~ (all_58_3 = e2) | all_58_1 = e0
% 70.75/10.57 | (171) ~ (all_58_3 = e3) | all_58_0 = e0
% 70.75/10.57 | (172) ~ (all_58_2 = e0) | all_58_3 = e1
% 70.75/10.57 | (173) ~ (all_58_2 = e2) | all_58_1 = e1
% 70.75/10.57 | (174) ~ (all_58_1 = e0) | all_58_3 = e2
% 70.75/10.57 | (175) ~ (all_58_1 = e3) | all_58_0 = e2
% 70.75/10.57 | (176) ~ (all_58_0 = e0) | all_58_3 = e3
% 70.75/10.57 | (177) ~ (all_58_0 = e1) | all_58_2 = e3
% 70.75/10.57 | (178) ~ (all_58_0 = e2) | all_58_1 = e3
% 70.75/10.57 |
% 70.75/10.57 | DELTA: instantiating (9) with fresh symbols all_60_0, all_60_1, all_60_2,
% 70.75/10.57 | all_60_3 gives:
% 70.75/10.57 | (179) inv(e3) = all_60_0 & inv(e2) = all_60_1 & inv(e1) = all_60_2 &
% 70.75/10.57 | inv(e0) = all_60_3 & op(all_60_0, e3) = unit & op(all_60_1, e2) =
% 70.75/10.57 | unit & op(all_60_2, e1) = unit & op(all_60_3, e0) = unit & op(e3,
% 70.75/10.57 | all_60_0) = unit & op(e2, all_60_1) = unit & op(e1, all_60_2) =
% 70.75/10.57 | unit & op(e0, all_60_3) = unit & $i(all_60_0) & $i(all_60_1) &
% 70.75/10.57 | $i(all_60_2) & $i(all_60_3) & (all_60_0 = e3 | all_60_0 = e2 |
% 70.75/10.57 | all_60_0 = e1 | all_60_0 = e0) & (all_60_1 = e3 | all_60_1 = e2 |
% 70.75/10.57 | all_60_1 = e1 | all_60_1 = e0) & (all_60_2 = e3 | all_60_2 = e2 |
% 70.75/10.57 | all_60_2 = e1 | all_60_2 = e0) & (all_60_3 = e3 | all_60_3 = e2 |
% 70.75/10.57 | all_60_3 = e1 | all_60_3 = e0)
% 70.75/10.57 |
% 70.75/10.57 | ALPHA: (179) implies:
% 70.75/10.57 | (180) op(e0, all_60_3) = unit
% 70.75/10.57 | (181) op(e1, all_60_2) = unit
% 70.75/10.57 | (182) op(e2, all_60_1) = unit
% 70.75/10.57 | (183) op(e3, all_60_0) = unit
% 70.75/10.57 | (184) inv(e0) = all_60_3
% 70.75/10.57 | (185) inv(e1) = all_60_2
% 70.75/10.57 | (186) inv(e2) = all_60_1
% 70.75/10.57 | (187) inv(e3) = all_60_0
% 70.75/10.57 | (188) all_60_3 = e3 | all_60_3 = e2 | all_60_3 = e1 | all_60_3 = e0
% 70.75/10.57 | (189) all_60_2 = e3 | all_60_2 = e2 | all_60_2 = e1 | all_60_2 = e0
% 70.75/10.57 | (190) all_60_1 = e3 | all_60_1 = e2 | all_60_1 = e1 | all_60_1 = e0
% 70.75/10.57 | (191) all_60_0 = e3 | all_60_0 = e2 | all_60_0 = e1 | all_60_0 = e0
% 70.75/10.57 |
% 70.75/10.57 | DELTA: instantiating (13) with fresh symbols all_62_0, all_62_1, all_62_2,
% 70.75/10.57 | all_62_3, all_62_4, all_62_5, all_62_6, all_62_7, all_62_8, all_62_9,
% 70.75/10.57 | all_62_10, all_62_11, all_62_12, all_62_13, all_62_14, all_62_15 gives:
% 70.75/10.57 | (192) ~ (all_62_0 = all_62_1) & ~ (all_62_0 = all_62_2) & ~ (all_62_0 =
% 70.75/10.57 | all_62_3) & ~ (all_62_0 = all_62_4) & ~ (all_62_0 = all_62_8) &
% 70.75/10.57 | ~ (all_62_0 = all_62_12) & ~ (all_62_1 = all_62_2) & ~ (all_62_1 =
% 70.75/10.57 | all_62_3) & ~ (all_62_1 = all_62_5) & ~ (all_62_1 = all_62_9) &
% 70.75/10.57 | ~ (all_62_1 = all_62_13) & ~ (all_62_2 = all_62_3) & ~ (all_62_2 =
% 70.75/10.57 | all_62_6) & ~ (all_62_2 = all_62_10) & ~ (all_62_2 = all_62_14) &
% 70.75/10.57 | ~ (all_62_3 = all_62_7) & ~ (all_62_3 = all_62_11) & ~ (all_62_3 =
% 70.75/10.57 | all_62_15) & ~ (all_62_4 = all_62_5) & ~ (all_62_4 = all_62_6) &
% 70.75/10.57 | ~ (all_62_4 = all_62_7) & ~ (all_62_4 = all_62_8) & ~ (all_62_4 =
% 70.75/10.57 | all_62_12) & ~ (all_62_5 = all_62_6) & ~ (all_62_5 = all_62_7) &
% 70.75/10.57 | ~ (all_62_5 = all_62_9) & ~ (all_62_5 = all_62_13) & ~ (all_62_6 =
% 70.75/10.57 | all_62_7) & ~ (all_62_6 = all_62_10) & ~ (all_62_6 = all_62_14) &
% 70.75/10.57 | ~ (all_62_7 = all_62_11) & ~ (all_62_7 = all_62_15) & ~ (all_62_8
% 70.75/10.57 | = all_62_9) & ~ (all_62_8 = all_62_10) & ~ (all_62_8 = all_62_11)
% 70.75/10.57 | & ~ (all_62_8 = all_62_12) & ~ (all_62_9 = all_62_10) & ~
% 70.75/10.57 | (all_62_9 = all_62_11) & ~ (all_62_9 = all_62_13) & ~ (all_62_10 =
% 70.75/10.57 | all_62_11) & ~ (all_62_10 = all_62_14) & ~ (all_62_11 =
% 70.75/10.57 | all_62_15) & ~ (all_62_12 = all_62_13) & ~ (all_62_12 =
% 70.75/10.57 | all_62_14) & ~ (all_62_12 = all_62_15) & ~ (all_62_13 =
% 70.75/10.57 | all_62_14) & ~ (all_62_13 = all_62_15) & ~ (all_62_14 =
% 70.75/10.57 | all_62_15) & op(e3, e3) = all_62_0 & op(e3, e2) = all_62_4 & op(e3,
% 70.75/10.57 | e1) = all_62_8 & op(e3, e0) = all_62_12 & op(e2, e3) = all_62_1 &
% 70.75/10.57 | op(e2, e2) = all_62_5 & op(e2, e1) = all_62_9 & op(e2, e0) =
% 70.75/10.57 | all_62_13 & op(e1, e3) = all_62_2 & op(e1, e2) = all_62_6 & op(e1,
% 70.75/10.57 | e1) = all_62_10 & op(e1, e0) = all_62_14 & op(e0, e3) = all_62_3 &
% 70.75/10.57 | op(e0, e2) = all_62_7 & op(e0, e1) = all_62_11 & op(e0, e0) =
% 70.75/10.57 | all_62_15 & $i(all_62_0) & $i(all_62_1) & $i(all_62_2) & $i(all_62_3)
% 70.75/10.57 | & $i(all_62_4) & $i(all_62_5) & $i(all_62_6) & $i(all_62_7) &
% 70.75/10.57 | $i(all_62_8) & $i(all_62_9) & $i(all_62_10) & $i(all_62_11) &
% 70.75/10.57 | $i(all_62_12) & $i(all_62_13) & $i(all_62_14) & $i(all_62_15)
% 70.75/10.57 |
% 70.75/10.57 | ALPHA: (192) implies:
% 70.75/10.57 | (193) ~ (all_62_14 = all_62_15)
% 70.75/10.57 | (194) ~ (all_62_13 = all_62_15)
% 70.75/10.57 | (195) ~ (all_62_13 = all_62_14)
% 70.75/10.57 | (196) ~ (all_62_12 = all_62_14)
% 70.75/10.57 | (197) ~ (all_62_12 = all_62_13)
% 70.75/10.57 | (198) ~ (all_62_11 = all_62_15)
% 70.75/10.57 | (199) ~ (all_62_9 = all_62_13)
% 70.75/10.57 | (200) ~ (all_62_9 = all_62_11)
% 70.75/10.57 | (201) ~ (all_62_9 = all_62_10)
% 70.75/10.57 | (202) ~ (all_62_8 = all_62_12)
% 70.75/10.57 | (203) ~ (all_62_8 = all_62_11)
% 70.75/10.57 | (204) ~ (all_62_8 = all_62_9)
% 70.75/10.57 | (205) ~ (all_62_7 = all_62_15)
% 70.75/10.57 | (206) ~ (all_62_7 = all_62_11)
% 70.75/10.57 | (207) ~ (all_62_6 = all_62_14)
% 70.75/10.57 | (208) ~ (all_62_6 = all_62_7)
% 70.75/10.57 | (209) ~ (all_62_5 = all_62_13)
% 70.75/10.57 | (210) ~ (all_62_5 = all_62_9)
% 70.75/10.58 | (211) ~ (all_62_5 = all_62_6)
% 70.75/10.58 | (212) ~ (all_62_4 = all_62_12)
% 70.75/10.58 | (213) ~ (all_62_4 = all_62_8)
% 70.75/10.58 | (214) ~ (all_62_4 = all_62_7)
% 70.75/10.58 | (215) ~ (all_62_4 = all_62_6)
% 70.75/10.58 | (216) ~ (all_62_4 = all_62_5)
% 70.75/10.58 | (217) ~ (all_62_3 = all_62_15)
% 70.75/10.58 | (218) ~ (all_62_3 = all_62_11)
% 70.75/10.58 | (219) ~ (all_62_3 = all_62_7)
% 70.75/10.58 | (220) ~ (all_62_2 = all_62_14)
% 70.75/10.58 | (221) ~ (all_62_2 = all_62_10)
% 70.75/10.58 | (222) ~ (all_62_2 = all_62_6)
% 70.75/10.58 | (223) ~ (all_62_2 = all_62_3)
% 70.75/10.58 | (224) ~ (all_62_1 = all_62_13)
% 70.75/10.58 | (225) ~ (all_62_1 = all_62_9)
% 70.75/10.58 | (226) ~ (all_62_1 = all_62_5)
% 70.75/10.58 | (227) ~ (all_62_1 = all_62_3)
% 70.75/10.58 | (228) ~ (all_62_1 = all_62_2)
% 70.75/10.58 | (229) ~ (all_62_0 = all_62_12)
% 70.75/10.58 | (230) ~ (all_62_0 = all_62_8)
% 70.75/10.58 | (231) ~ (all_62_0 = all_62_4)
% 70.75/10.58 | (232) ~ (all_62_0 = all_62_3)
% 70.75/10.58 | (233) ~ (all_62_0 = all_62_2)
% 70.75/10.58 | (234) ~ (all_62_0 = all_62_1)
% 70.75/10.58 | (235) op(e0, e0) = all_62_15
% 70.75/10.58 | (236) op(e0, e1) = all_62_11
% 70.75/10.58 | (237) op(e0, e2) = all_62_7
% 70.75/10.58 | (238) op(e0, e3) = all_62_3
% 70.75/10.58 | (239) op(e1, e0) = all_62_14
% 70.75/10.58 | (240) op(e1, e1) = all_62_10
% 70.75/10.58 | (241) op(e1, e2) = all_62_6
% 70.75/10.58 | (242) op(e1, e3) = all_62_2
% 70.75/10.58 | (243) op(e2, e0) = all_62_13
% 70.75/10.58 | (244) op(e2, e1) = all_62_9
% 70.75/10.58 | (245) op(e2, e2) = all_62_5
% 70.75/10.58 | (246) op(e2, e3) = all_62_1
% 70.75/10.58 | (247) op(e3, e0) = all_62_12
% 70.75/10.58 | (248) op(e3, e1) = all_62_8
% 70.75/10.58 | (249) op(e3, e2) = all_62_4
% 70.75/10.58 | (250) op(e3, e3) = all_62_0
% 70.75/10.58 |
% 70.75/10.58 | DELTA: instantiating (1) with fresh symbols all_64_0, all_64_1, all_64_2,
% 70.75/10.58 | all_64_3, all_64_4, all_64_5, all_64_6, all_64_7, all_64_8, all_64_9,
% 70.75/10.58 | all_64_10, all_64_11, all_64_12, all_64_13, all_64_14, all_64_15 gives:
% 70.75/10.58 | (251) op(e3, e3) = all_64_0 & op(e3, e2) = all_64_1 & op(e3, e1) = all_64_2
% 70.75/10.58 | & op(e3, e0) = all_64_3 & op(e2, e3) = all_64_4 & op(e2, e2) =
% 70.75/10.58 | all_64_5 & op(e2, e1) = all_64_6 & op(e2, e0) = all_64_7 & op(e1, e3)
% 70.75/10.58 | = all_64_8 & op(e1, e2) = all_64_9 & op(e1, e1) = all_64_10 & op(e1,
% 70.75/10.58 | e0) = all_64_11 & op(e0, e3) = all_64_12 & op(e0, e2) = all_64_13 &
% 70.75/10.58 | op(e0, e1) = all_64_14 & op(e0, e0) = all_64_15 & $i(all_64_0) &
% 70.75/10.58 | $i(all_64_1) & $i(all_64_2) & $i(all_64_3) & $i(all_64_4) &
% 70.75/10.58 | $i(all_64_5) & $i(all_64_6) & $i(all_64_7) & $i(all_64_8) &
% 70.75/10.58 | $i(all_64_9) & $i(all_64_10) & $i(all_64_11) & $i(all_64_12) &
% 70.75/10.58 | $i(all_64_13) & $i(all_64_14) & $i(all_64_15) & (all_64_0 = e3 |
% 70.75/10.58 | all_64_0 = e2 | all_64_0 = e1 | all_64_0 = e0) & (all_64_1 = e3 |
% 70.75/10.58 | all_64_1 = e2 | all_64_1 = e1 | all_64_1 = e0) & (all_64_2 = e3 |
% 70.75/10.58 | all_64_2 = e2 | all_64_2 = e1 | all_64_2 = e0) & (all_64_3 = e3 |
% 70.75/10.58 | all_64_3 = e2 | all_64_3 = e1 | all_64_3 = e0) & (all_64_4 = e3 |
% 70.75/10.58 | all_64_4 = e2 | all_64_4 = e1 | all_64_4 = e0) & (all_64_5 = e3 |
% 70.75/10.58 | all_64_5 = e2 | all_64_5 = e1 | all_64_5 = e0) & (all_64_6 = e3 |
% 70.75/10.58 | all_64_6 = e2 | all_64_6 = e1 | all_64_6 = e0) & (all_64_7 = e3 |
% 70.75/10.58 | all_64_7 = e2 | all_64_7 = e1 | all_64_7 = e0) & (all_64_8 = e3 |
% 70.75/10.58 | all_64_8 = e2 | all_64_8 = e1 | all_64_8 = e0) & (all_64_9 = e3 |
% 70.75/10.58 | all_64_9 = e2 | all_64_9 = e1 | all_64_9 = e0) & (all_64_10 = e3 |
% 70.75/10.58 | all_64_10 = e2 | all_64_10 = e1 | all_64_10 = e0) & (all_64_11 = e3
% 70.75/10.58 | | all_64_11 = e2 | all_64_11 = e1 | all_64_11 = e0) & (all_64_12 =
% 70.75/10.58 | e3 | all_64_12 = e2 | all_64_12 = e1 | all_64_12 = e0) & (all_64_13
% 70.75/10.58 | = e3 | all_64_13 = e2 | all_64_13 = e1 | all_64_13 = e0) &
% 70.75/10.58 | (all_64_14 = e3 | all_64_14 = e2 | all_64_14 = e1 | all_64_14 = e0) &
% 70.75/10.58 | (all_64_15 = e3 | all_64_15 = e2 | all_64_15 = e1 | all_64_15 = e0)
% 70.75/10.58 |
% 70.75/10.58 | ALPHA: (251) implies:
% 70.75/10.58 | (252) op(e0, e0) = all_64_15
% 70.75/10.58 | (253) op(e0, e1) = all_64_14
% 70.75/10.58 | (254) op(e0, e2) = all_64_13
% 70.75/10.58 | (255) op(e0, e3) = all_64_12
% 70.75/10.58 | (256) op(e1, e0) = all_64_11
% 70.75/10.58 | (257) op(e1, e1) = all_64_10
% 70.75/10.58 | (258) op(e1, e2) = all_64_9
% 70.75/10.58 | (259) op(e1, e3) = all_64_8
% 70.75/10.58 | (260) op(e2, e0) = all_64_7
% 70.75/10.58 | (261) op(e2, e1) = all_64_6
% 70.75/10.58 | (262) op(e2, e2) = all_64_5
% 70.75/10.58 | (263) op(e2, e3) = all_64_4
% 70.75/10.58 | (264) op(e3, e0) = all_64_3
% 70.75/10.58 | (265) op(e3, e1) = all_64_2
% 70.75/10.58 | (266) op(e3, e2) = all_64_1
% 70.75/10.58 | (267) op(e3, e3) = all_64_0
% 70.75/10.58 | (268) all_64_14 = e3 | all_64_14 = e2 | all_64_14 = e1 | all_64_14 = e0
% 70.75/10.58 | (269) all_64_13 = e3 | all_64_13 = e2 | all_64_13 = e1 | all_64_13 = e0
% 70.75/10.58 | (270) all_64_12 = e3 | all_64_12 = e2 | all_64_12 = e1 | all_64_12 = e0
% 70.75/10.58 | (271) all_64_11 = e3 | all_64_11 = e2 | all_64_11 = e1 | all_64_11 = e0
% 70.75/10.58 | (272) all_64_9 = e3 | all_64_9 = e2 | all_64_9 = e1 | all_64_9 = e0
% 70.75/10.58 | (273) all_64_8 = e3 | all_64_8 = e2 | all_64_8 = e1 | all_64_8 = e0
% 70.75/10.58 | (274) all_64_7 = e3 | all_64_7 = e2 | all_64_7 = e1 | all_64_7 = e0
% 70.75/10.58 | (275) all_64_6 = e3 | all_64_6 = e2 | all_64_6 = e1 | all_64_6 = e0
% 70.75/10.58 | (276) all_64_5 = e3 | all_64_5 = e2 | all_64_5 = e1 | all_64_5 = e0
% 70.75/10.58 | (277) all_64_4 = e3 | all_64_4 = e2 | all_64_4 = e1 | all_64_4 = e0
% 70.75/10.59 | (278) all_64_3 = e3 | all_64_3 = e2 | all_64_3 = e1 | all_64_3 = e0
% 70.75/10.59 | (279) all_64_2 = e3 | all_64_2 = e2 | all_64_2 = e1 | all_64_2 = e0
% 70.75/10.59 | (280) all_64_1 = e3 | all_64_1 = e2 | all_64_1 = e1 | all_64_1 = e0
% 70.75/10.59 |
% 70.75/10.59 | DELTA: instantiating (2) with fresh symbols all_66_0, all_66_1, all_66_2,
% 70.75/10.59 | all_66_3, all_66_4, all_66_5, all_66_6, all_66_7, all_66_8, all_66_9,
% 70.75/10.59 | all_66_10, all_66_11, all_66_12, all_66_13, all_66_14, all_66_15,
% 70.75/10.59 | all_66_16, all_66_17, all_66_18, all_66_19, all_66_20, all_66_21,
% 70.75/10.59 | all_66_22, all_66_23, all_66_24, all_66_25, all_66_26, all_66_27,
% 70.75/10.59 | all_66_28, all_66_29, all_66_30, all_66_31, all_66_32, all_66_33,
% 70.75/10.59 | all_66_34, all_66_35, all_66_36, all_66_37, all_66_38, all_66_39,
% 70.75/10.59 | all_66_40, all_66_41, all_66_42, all_66_43, all_66_44, all_66_45,
% 70.75/10.59 | all_66_46, all_66_47, all_66_48, all_66_49, all_66_50, all_66_51,
% 70.75/10.59 | all_66_52, all_66_53, all_66_54, all_66_55, all_66_56, all_66_57,
% 70.75/10.59 | all_66_58, all_66_59, all_66_60, all_66_61, all_66_62, all_66_63,
% 70.75/10.59 | all_66_64, all_66_65, all_66_66, all_66_67, all_66_68, all_66_69,
% 70.75/10.59 | all_66_70, all_66_71, all_66_72, all_66_73, all_66_74, all_66_75,
% 70.75/10.59 | all_66_76, all_66_77, all_66_78, all_66_79 gives:
% 70.75/10.59 | (281) op(all_66_48, e3) = all_66_0 & op(all_66_48, e2) = all_66_1 &
% 70.75/10.59 | op(all_66_48, e1) = all_66_2 & op(all_66_48, e0) = all_66_3 &
% 70.75/10.59 | op(all_66_50, e3) = all_66_4 & op(all_66_50, e2) = all_66_5 &
% 70.75/10.59 | op(all_66_50, e1) = all_66_6 & op(all_66_50, e0) = all_66_7 &
% 70.75/10.59 | op(all_66_52, e3) = all_66_8 & op(all_66_52, e2) = all_66_9 &
% 70.75/10.59 | op(all_66_52, e1) = all_66_10 & op(all_66_52, e0) = all_66_11 &
% 70.75/10.59 | op(all_66_54, e3) = all_66_12 & op(all_66_54, e2) = all_66_13 &
% 70.75/10.59 | op(all_66_54, e1) = all_66_14 & op(all_66_54, e0) = all_66_15 &
% 70.75/10.59 | op(all_66_56, e3) = all_66_16 & op(all_66_56, e2) = all_66_17 &
% 70.75/10.59 | op(all_66_56, e1) = all_66_18 & op(all_66_56, e0) = all_66_19 &
% 70.75/10.59 | op(all_66_58, e3) = all_66_20 & op(all_66_58, e2) = all_66_21 &
% 70.75/10.59 | op(all_66_58, e1) = all_66_22 & op(all_66_58, e0) = all_66_23 &
% 70.75/10.59 | op(all_66_60, e3) = all_66_24 & op(all_66_60, e2) = all_66_25 &
% 70.75/10.59 | op(all_66_60, e1) = all_66_26 & op(all_66_60, e0) = all_66_27 &
% 70.75/10.59 | op(all_66_62, e3) = all_66_28 & op(all_66_62, e2) = all_66_29 &
% 70.75/10.59 | op(all_66_62, e1) = all_66_30 & op(all_66_62, e0) = all_66_31 &
% 70.75/10.59 | op(all_66_64, e3) = all_66_32 & op(all_66_64, e2) = all_66_33 &
% 70.75/10.59 | op(all_66_64, e1) = all_66_34 & op(all_66_64, e0) = all_66_35 &
% 70.75/10.59 | op(all_66_66, e3) = all_66_36 & op(all_66_66, e2) = all_66_37 &
% 70.75/10.59 | op(all_66_66, e1) = all_66_38 & op(all_66_66, e0) = all_66_39 &
% 70.75/10.59 | op(all_66_68, e3) = all_66_40 & op(all_66_68, e2) = all_66_41 &
% 70.75/10.59 | op(all_66_68, e1) = all_66_42 & op(all_66_68, e0) = all_66_43 &
% 70.75/10.59 | op(all_66_70, e3) = all_66_44 & op(all_66_70, e2) = all_66_45 &
% 70.75/10.59 | op(all_66_70, e1) = all_66_46 & op(all_66_70, e0) = all_66_47 &
% 70.75/10.59 | op(all_66_72, e3) = all_66_49 & op(all_66_72, e2) = all_66_51 &
% 70.75/10.59 | op(all_66_72, e1) = all_66_53 & op(all_66_72, e0) = all_66_55 &
% 70.75/10.59 | op(all_66_74, e3) = all_66_57 & op(all_66_74, e2) = all_66_59 &
% 70.75/10.59 | op(all_66_74, e1) = all_66_61 & op(all_66_74, e0) = all_66_63 &
% 70.75/10.59 | op(all_66_76, e3) = all_66_65 & op(all_66_76, e2) = all_66_67 &
% 70.75/10.59 | op(all_66_76, e1) = all_66_69 & op(all_66_76, e0) = all_66_71 &
% 70.75/10.59 | op(all_66_79, e3) = all_66_73 & op(all_66_79, e2) = all_66_75 &
% 70.75/10.59 | op(all_66_79, e1) = all_66_77 & op(all_66_79, e0) = all_66_78 &
% 70.75/10.59 | op(e3, all_66_48) = all_66_0 & op(e3, all_66_50) = all_66_1 & op(e3,
% 70.75/10.59 | all_66_52) = all_66_2 & op(e3, all_66_54) = all_66_3 & op(e3,
% 70.75/10.59 | all_66_56) = all_66_4 & op(e3, all_66_58) = all_66_5 & op(e3,
% 70.75/10.59 | all_66_60) = all_66_6 & op(e3, all_66_62) = all_66_7 & op(e3,
% 70.75/10.59 | all_66_64) = all_66_8 & op(e3, all_66_66) = all_66_9 & op(e3,
% 70.75/10.59 | all_66_68) = all_66_10 & op(e3, all_66_70) = all_66_11 & op(e3,
% 70.75/10.59 | all_66_72) = all_66_12 & op(e3, all_66_74) = all_66_13 & op(e3,
% 70.75/10.59 | all_66_76) = all_66_14 & op(e3, all_66_79) = all_66_15 & op(e3, e3)
% 70.75/10.59 | = all_66_48 & op(e3, e2) = all_66_50 & op(e3, e1) = all_66_52 &
% 70.75/10.59 | op(e3, e0) = all_66_54 & op(e2, all_66_48) = all_66_16 & op(e2,
% 70.75/10.59 | all_66_50) = all_66_17 & op(e2, all_66_52) = all_66_18 & op(e2,
% 70.75/10.59 | all_66_54) = all_66_19 & op(e2, all_66_56) = all_66_20 & op(e2,
% 70.75/10.59 | all_66_58) = all_66_21 & op(e2, all_66_60) = all_66_22 & op(e2,
% 70.75/10.59 | all_66_62) = all_66_23 & op(e2, all_66_64) = all_66_24 & op(e2,
% 70.75/10.59 | all_66_66) = all_66_25 & op(e2, all_66_68) = all_66_26 & op(e2,
% 70.75/10.59 | all_66_70) = all_66_27 & op(e2, all_66_72) = all_66_28 & op(e2,
% 70.75/10.59 | all_66_74) = all_66_29 & op(e2, all_66_76) = all_66_30 & op(e2,
% 70.75/10.59 | all_66_79) = all_66_31 & op(e2, e3) = all_66_56 & op(e2, e2) =
% 70.75/10.59 | all_66_58 & op(e2, e1) = all_66_60 & op(e2, e0) = all_66_62 & op(e1,
% 70.75/10.59 | all_66_48) = all_66_32 & op(e1, all_66_50) = all_66_33 & op(e1,
% 70.75/10.59 | all_66_52) = all_66_34 & op(e1, all_66_54) = all_66_35 & op(e1,
% 70.75/10.59 | all_66_56) = all_66_36 & op(e1, all_66_58) = all_66_37 & op(e1,
% 70.75/10.59 | all_66_60) = all_66_38 & op(e1, all_66_62) = all_66_39 & op(e1,
% 70.75/10.59 | all_66_64) = all_66_40 & op(e1, all_66_66) = all_66_41 & op(e1,
% 70.75/10.59 | all_66_68) = all_66_42 & op(e1, all_66_70) = all_66_43 & op(e1,
% 70.75/10.59 | all_66_72) = all_66_44 & op(e1, all_66_74) = all_66_45 & op(e1,
% 70.75/10.59 | all_66_76) = all_66_46 & op(e1, all_66_79) = all_66_47 & op(e1, e3)
% 70.75/10.59 | = all_66_64 & op(e1, e2) = all_66_66 & op(e1, e1) = all_66_68 &
% 70.75/10.59 | op(e1, e0) = all_66_70 & op(e0, all_66_48) = all_66_49 & op(e0,
% 70.75/10.59 | all_66_50) = all_66_51 & op(e0, all_66_52) = all_66_53 & op(e0,
% 70.75/10.59 | all_66_54) = all_66_55 & op(e0, all_66_56) = all_66_57 & op(e0,
% 70.75/10.59 | all_66_58) = all_66_59 & op(e0, all_66_60) = all_66_61 & op(e0,
% 70.75/10.59 | all_66_62) = all_66_63 & op(e0, all_66_64) = all_66_65 & op(e0,
% 70.75/10.59 | all_66_66) = all_66_67 & op(e0, all_66_68) = all_66_69 & op(e0,
% 70.75/10.59 | all_66_70) = all_66_71 & op(e0, all_66_72) = all_66_73 & op(e0,
% 70.75/10.59 | all_66_74) = all_66_75 & op(e0, all_66_76) = all_66_77 & op(e0,
% 70.75/10.59 | all_66_79) = all_66_78 & op(e0, e3) = all_66_72 & op(e0, e2) =
% 70.75/10.59 | all_66_74 & op(e0, e1) = all_66_76 & op(e0, e0) = all_66_79 &
% 70.75/10.59 | $i(all_66_0) & $i(all_66_1) & $i(all_66_2) & $i(all_66_3) &
% 70.75/10.59 | $i(all_66_4) & $i(all_66_5) & $i(all_66_6) & $i(all_66_7) &
% 70.75/10.59 | $i(all_66_8) & $i(all_66_9) & $i(all_66_10) & $i(all_66_11) &
% 70.75/10.59 | $i(all_66_12) & $i(all_66_13) & $i(all_66_14) & $i(all_66_15) &
% 70.75/10.59 | $i(all_66_16) & $i(all_66_17) & $i(all_66_18) & $i(all_66_19) &
% 70.75/10.59 | $i(all_66_20) & $i(all_66_21) & $i(all_66_22) & $i(all_66_23) &
% 70.75/10.59 | $i(all_66_24) & $i(all_66_25) & $i(all_66_26) & $i(all_66_27) &
% 70.75/10.59 | $i(all_66_28) & $i(all_66_29) & $i(all_66_30) & $i(all_66_31) &
% 70.75/10.59 | $i(all_66_32) & $i(all_66_33) & $i(all_66_34) & $i(all_66_35) &
% 70.75/10.59 | $i(all_66_36) & $i(all_66_37) & $i(all_66_38) & $i(all_66_39) &
% 70.75/10.59 | $i(all_66_40) & $i(all_66_41) & $i(all_66_42) & $i(all_66_43) &
% 70.75/10.59 | $i(all_66_44) & $i(all_66_45) & $i(all_66_46) & $i(all_66_47) &
% 70.75/10.59 | $i(all_66_48) & $i(all_66_49) & $i(all_66_50) & $i(all_66_51) &
% 70.75/10.59 | $i(all_66_52) & $i(all_66_53) & $i(all_66_54) & $i(all_66_55) &
% 70.75/10.59 | $i(all_66_56) & $i(all_66_57) & $i(all_66_58) & $i(all_66_59) &
% 70.75/10.59 | $i(all_66_60) & $i(all_66_61) & $i(all_66_62) & $i(all_66_63) &
% 70.75/10.59 | $i(all_66_64) & $i(all_66_65) & $i(all_66_66) & $i(all_66_67) &
% 70.75/10.59 | $i(all_66_68) & $i(all_66_69) & $i(all_66_70) & $i(all_66_71) &
% 70.75/10.59 | $i(all_66_72) & $i(all_66_73) & $i(all_66_74) & $i(all_66_75) &
% 70.75/10.59 | $i(all_66_76) & $i(all_66_77) & $i(all_66_78) & $i(all_66_79)
% 70.75/10.59 |
% 70.75/10.59 | ALPHA: (281) implies:
% 70.75/10.59 | (282) op(e0, e0) = all_66_79
% 70.75/10.59 | (283) op(e0, e1) = all_66_76
% 70.75/10.59 | (284) op(e0, e2) = all_66_74
% 70.75/10.59 | (285) op(e0, e3) = all_66_72
% 70.75/10.59 | (286) op(e0, all_66_79) = all_66_78
% 70.75/10.59 | (287) op(e0, all_66_76) = all_66_77
% 70.75/10.59 | (288) op(e0, all_66_74) = all_66_75
% 70.75/10.59 | (289) op(e0, all_66_72) = all_66_73
% 70.75/10.60 | (290) op(e0, all_66_70) = all_66_71
% 70.75/10.60 | (291) op(e0, all_66_68) = all_66_69
% 70.75/10.60 | (292) op(e0, all_66_66) = all_66_67
% 70.75/10.60 | (293) op(e0, all_66_64) = all_66_65
% 70.75/10.60 | (294) op(e0, all_66_62) = all_66_63
% 70.75/10.60 | (295) op(e0, all_66_60) = all_66_61
% 70.75/10.60 | (296) op(e0, all_66_58) = all_66_59
% 70.75/10.60 | (297) op(e0, all_66_56) = all_66_57
% 70.75/10.60 | (298) op(e0, all_66_54) = all_66_55
% 70.75/10.60 | (299) op(e0, all_66_52) = all_66_53
% 70.75/10.60 | (300) op(e0, all_66_50) = all_66_51
% 70.75/10.60 | (301) op(e0, all_66_48) = all_66_49
% 70.75/10.60 | (302) op(e1, e0) = all_66_70
% 70.75/10.60 | (303) op(e1, e1) = all_66_68
% 70.75/10.60 | (304) op(e1, e2) = all_66_66
% 70.75/10.60 | (305) op(e1, e3) = all_66_64
% 70.75/10.60 | (306) op(e1, all_66_79) = all_66_47
% 70.75/10.60 | (307) op(e1, all_66_76) = all_66_46
% 70.75/10.60 | (308) op(e1, all_66_74) = all_66_45
% 70.75/10.60 | (309) op(e1, all_66_72) = all_66_44
% 70.75/10.60 | (310) op(e1, all_66_70) = all_66_43
% 70.75/10.60 | (311) op(e1, all_66_68) = all_66_42
% 70.75/10.60 | (312) op(e1, all_66_66) = all_66_41
% 70.75/10.60 | (313) op(e1, all_66_64) = all_66_40
% 70.75/10.60 | (314) op(e1, all_66_62) = all_66_39
% 70.75/10.60 | (315) op(e1, all_66_60) = all_66_38
% 70.75/10.60 | (316) op(e1, all_66_58) = all_66_37
% 70.75/10.60 | (317) op(e1, all_66_56) = all_66_36
% 70.75/10.60 | (318) op(e1, all_66_54) = all_66_35
% 70.75/10.60 | (319) op(e1, all_66_52) = all_66_34
% 70.75/10.60 | (320) op(e1, all_66_50) = all_66_33
% 70.75/10.60 | (321) op(e1, all_66_48) = all_66_32
% 70.75/10.60 | (322) op(e2, e0) = all_66_62
% 70.75/10.60 | (323) op(e2, e1) = all_66_60
% 70.75/10.60 | (324) op(e2, e2) = all_66_58
% 70.75/10.60 | (325) op(e2, e3) = all_66_56
% 70.75/10.60 | (326) op(e2, all_66_79) = all_66_31
% 70.75/10.60 | (327) op(e2, all_66_76) = all_66_30
% 70.75/10.60 | (328) op(e2, all_66_74) = all_66_29
% 70.75/10.60 | (329) op(e2, all_66_72) = all_66_28
% 70.75/10.60 | (330) op(e2, all_66_70) = all_66_27
% 70.75/10.60 | (331) op(e2, all_66_68) = all_66_26
% 70.75/10.60 | (332) op(e2, all_66_66) = all_66_25
% 70.75/10.60 | (333) op(e2, all_66_64) = all_66_24
% 70.75/10.60 | (334) op(e2, all_66_62) = all_66_23
% 70.75/10.60 | (335) op(e2, all_66_60) = all_66_22
% 70.75/10.60 | (336) op(e2, all_66_58) = all_66_21
% 70.75/10.60 | (337) op(e2, all_66_56) = all_66_20
% 70.75/10.60 | (338) op(e2, all_66_54) = all_66_19
% 70.75/10.60 | (339) op(e2, all_66_52) = all_66_18
% 70.75/10.60 | (340) op(e2, all_66_50) = all_66_17
% 70.75/10.60 | (341) op(e2, all_66_48) = all_66_16
% 70.75/10.60 | (342) op(e3, e0) = all_66_54
% 70.75/10.60 | (343) op(e3, e1) = all_66_52
% 70.75/10.60 | (344) op(e3, e2) = all_66_50
% 70.75/10.60 | (345) op(e3, e3) = all_66_48
% 70.75/10.60 | (346) op(e3, all_66_79) = all_66_15
% 70.75/10.60 | (347) op(e3, all_66_76) = all_66_14
% 70.75/10.60 | (348) op(e3, all_66_74) = all_66_13
% 70.75/10.60 | (349) op(e3, all_66_72) = all_66_12
% 70.75/10.60 | (350) op(e3, all_66_70) = all_66_11
% 70.75/10.60 | (351) op(e3, all_66_68) = all_66_10
% 70.75/10.60 | (352) op(e3, all_66_66) = all_66_9
% 70.75/10.60 | (353) op(e3, all_66_64) = all_66_8
% 70.75/10.60 | (354) op(e3, all_66_62) = all_66_7
% 70.75/10.60 | (355) op(e3, all_66_60) = all_66_6
% 70.75/10.60 | (356) op(e3, all_66_58) = all_66_5
% 70.75/10.60 | (357) op(e3, all_66_56) = all_66_4
% 70.75/10.60 | (358) op(e3, all_66_54) = all_66_3
% 70.75/10.60 | (359) op(e3, all_66_52) = all_66_2
% 70.75/10.60 | (360) op(e3, all_66_50) = all_66_1
% 70.75/10.60 | (361) op(e3, all_66_48) = all_66_0
% 70.75/10.60 | (362) op(all_66_79, e0) = all_66_78
% 70.75/10.60 | (363) op(all_66_79, e1) = all_66_77
% 70.75/10.60 | (364) op(all_66_79, e2) = all_66_75
% 70.75/10.60 | (365) op(all_66_79, e3) = all_66_73
% 70.75/10.60 | (366) op(all_66_76, e0) = all_66_71
% 70.75/10.60 | (367) op(all_66_76, e1) = all_66_69
% 70.75/10.60 | (368) op(all_66_76, e2) = all_66_67
% 70.75/10.60 | (369) op(all_66_76, e3) = all_66_65
% 70.75/10.60 | (370) op(all_66_74, e0) = all_66_63
% 70.75/10.60 | (371) op(all_66_74, e1) = all_66_61
% 70.75/10.60 | (372) op(all_66_74, e2) = all_66_59
% 70.75/10.60 | (373) op(all_66_74, e3) = all_66_57
% 70.75/10.60 | (374) op(all_66_72, e0) = all_66_55
% 70.75/10.60 | (375) op(all_66_72, e1) = all_66_53
% 70.75/10.60 | (376) op(all_66_72, e2) = all_66_51
% 70.75/10.60 | (377) op(all_66_72, e3) = all_66_49
% 70.75/10.60 | (378) op(all_66_70, e0) = all_66_47
% 70.75/10.60 | (379) op(all_66_70, e1) = all_66_46
% 70.75/10.60 | (380) op(all_66_70, e2) = all_66_45
% 70.75/10.60 | (381) op(all_66_70, e3) = all_66_44
% 70.75/10.60 | (382) op(all_66_68, e0) = all_66_43
% 70.75/10.60 | (383) op(all_66_68, e1) = all_66_42
% 70.75/10.60 | (384) op(all_66_68, e2) = all_66_41
% 70.75/10.60 | (385) op(all_66_68, e3) = all_66_40
% 70.75/10.60 | (386) op(all_66_66, e0) = all_66_39
% 70.75/10.60 | (387) op(all_66_66, e1) = all_66_38
% 70.75/10.60 | (388) op(all_66_66, e2) = all_66_37
% 70.75/10.60 | (389) op(all_66_66, e3) = all_66_36
% 70.75/10.60 | (390) op(all_66_64, e0) = all_66_35
% 70.75/10.60 | (391) op(all_66_64, e1) = all_66_34
% 70.75/10.60 | (392) op(all_66_64, e2) = all_66_33
% 70.75/10.60 | (393) op(all_66_64, e3) = all_66_32
% 70.75/10.60 | (394) op(all_66_62, e0) = all_66_31
% 70.75/10.60 | (395) op(all_66_62, e1) = all_66_30
% 70.75/10.60 | (396) op(all_66_62, e2) = all_66_29
% 70.75/10.60 | (397) op(all_66_62, e3) = all_66_28
% 70.75/10.60 | (398) op(all_66_60, e0) = all_66_27
% 70.75/10.60 | (399) op(all_66_60, e1) = all_66_26
% 70.75/10.60 | (400) op(all_66_60, e2) = all_66_25
% 70.75/10.60 | (401) op(all_66_60, e3) = all_66_24
% 70.75/10.61 | (402) op(all_66_58, e0) = all_66_23
% 70.75/10.61 | (403) op(all_66_58, e1) = all_66_22
% 70.75/10.61 | (404) op(all_66_58, e2) = all_66_21
% 70.75/10.61 | (405) op(all_66_58, e3) = all_66_20
% 70.75/10.61 | (406) op(all_66_56, e0) = all_66_19
% 70.75/10.61 | (407) op(all_66_56, e1) = all_66_18
% 70.75/10.61 | (408) op(all_66_56, e2) = all_66_17
% 70.75/10.61 | (409) op(all_66_56, e3) = all_66_16
% 70.75/10.61 | (410) op(all_66_54, e0) = all_66_15
% 70.75/10.61 | (411) op(all_66_54, e1) = all_66_14
% 70.75/10.61 | (412) op(all_66_54, e2) = all_66_13
% 70.75/10.61 | (413) op(all_66_54, e3) = all_66_12
% 70.75/10.61 | (414) op(all_66_52, e0) = all_66_11
% 70.75/10.61 | (415) op(all_66_52, e1) = all_66_10
% 70.75/10.61 | (416) op(all_66_52, e2) = all_66_9
% 70.75/10.61 | (417) op(all_66_52, e3) = all_66_8
% 70.75/10.61 | (418) op(all_66_50, e0) = all_66_7
% 70.75/10.61 | (419) op(all_66_50, e1) = all_66_6
% 70.75/10.61 | (420) op(all_66_50, e2) = all_66_5
% 70.75/10.61 | (421) op(all_66_50, e3) = all_66_4
% 70.75/10.61 | (422) op(all_66_48, e0) = all_66_3
% 70.75/10.61 | (423) op(all_66_48, e1) = all_66_2
% 70.75/10.61 | (424) op(all_66_48, e2) = all_66_1
% 70.75/10.61 | (425) op(all_66_48, e3) = all_66_0
% 70.75/10.61 |
% 70.75/10.61 | GROUND_INST: instantiating (45) with all_36_1, all_38_1, e0, e0, simplifying
% 70.75/10.61 | with (111), (115) gives:
% 70.75/10.61 | (426) all_38_1 = all_36_1
% 70.75/10.61 |
% 70.75/10.61 | GROUND_INST: instantiating (45) with all_22_1, all_38_1, e0, e0, simplifying
% 70.75/10.61 | with (83), (115) gives:
% 70.75/10.61 | (427) all_38_1 = all_22_1
% 70.75/10.61 |
% 70.75/10.61 | GROUND_INST: instantiating (45) with all_62_15, all_64_15, e0, e0, simplifying
% 70.75/10.61 | with (235), (252) gives:
% 70.75/10.61 | (428) all_64_15 = all_62_15
% 70.75/10.61 |
% 70.75/10.61 | GROUND_INST: instantiating (45) with all_56_3, all_64_15, e0, e0, simplifying
% 70.75/10.61 | with (159), (252) gives:
% 70.75/10.61 | (429) all_64_15 = all_56_3
% 70.75/10.61 |
% 70.75/10.61 | GROUND_INST: instantiating (45) with all_24_1, all_64_15, e0, e0, simplifying
% 70.75/10.61 | with (87), (252) gives:
% 70.75/10.61 | (430) all_64_15 = all_24_1
% 70.75/10.61 |
% 70.75/10.61 | GROUND_INST: instantiating (45) with all_56_3, all_66_79, e0, e0, simplifying
% 70.75/10.61 | with (159), (282) gives:
% 70.75/10.61 | (431) all_66_79 = all_56_3
% 70.75/10.61 |
% 70.75/10.61 | GROUND_INST: instantiating (45) with all_44_1, all_66_79, e0, e0, simplifying
% 70.75/10.61 | with (127), (282) gives:
% 70.75/10.61 | (432) all_66_79 = all_44_1
% 70.75/10.61 |
% 70.75/10.61 | GROUND_INST: instantiating (45) with all_36_1, all_66_79, e0, e0, simplifying
% 70.75/10.61 | with (111), (282) gives:
% 70.75/10.61 | (433) all_66_79 = all_36_1
% 70.75/10.61 |
% 70.75/10.61 | GROUND_INST: instantiating (45) with all_8_1, all_66_79, e0, e0, simplifying
% 70.75/10.61 | with (55), (282) gives:
% 70.75/10.61 | (434) all_66_79 = all_8_1
% 70.75/10.61 |
% 70.75/10.61 | GROUND_INST: instantiating (45) with all_64_14, all_66_76, e1, e0, simplifying
% 70.75/10.61 | with (253), (283) gives:
% 70.75/10.61 | (435) all_66_76 = all_64_14
% 70.75/10.61 |
% 70.75/10.61 | GROUND_INST: instantiating (45) with all_62_11, all_66_76, e1, e0, simplifying
% 70.75/10.61 | with (236), (283) gives:
% 70.75/10.61 | (436) all_66_76 = all_62_11
% 70.75/10.61 |
% 70.75/10.61 | GROUND_INST: instantiating (45) with all_50_0, all_66_76, e1, e0, simplifying
% 70.75/10.61 | with (139), (283) gives:
% 70.75/10.61 | (437) all_66_76 = all_50_0
% 70.75/10.61 |
% 70.75/10.61 | GROUND_INST: instantiating (45) with all_42_0, all_66_76, e1, e0, simplifying
% 70.75/10.61 | with (123), (283) gives:
% 70.75/10.61 | (438) all_66_76 = all_42_0
% 70.75/10.61 |
% 70.75/10.61 | GROUND_INST: instantiating (45) with all_46_0, all_62_7, e2, e0, simplifying
% 70.75/10.61 | with (131), (237) gives:
% 70.75/10.61 | (439) all_62_7 = all_46_0
% 70.75/10.61 |
% 70.75/10.61 | GROUND_INST: instantiating (45) with all_62_7, all_64_13, e2, e0, simplifying
% 70.75/10.61 | with (237), (254) gives:
% 70.75/10.61 | (440) all_64_13 = all_62_7
% 70.75/10.61 |
% 70.75/10.61 | GROUND_INST: instantiating (45) with all_64_13, all_66_74, e2, e0, simplifying
% 70.75/10.61 | with (254), (284) gives:
% 70.75/10.61 | (441) all_66_74 = all_64_13
% 70.75/10.61 |
% 70.75/10.61 | GROUND_INST: instantiating (45) with all_20_0, all_66_74, e2, e0, simplifying
% 70.75/10.61 | with (79), (284) gives:
% 70.75/10.61 | (442) all_66_74 = all_20_0
% 70.75/10.61 |
% 70.75/10.61 | GROUND_INST: instantiating (45) with all_62_3, all_64_12, e3, e0, simplifying
% 70.75/10.61 | with (238), (255) gives:
% 70.75/10.61 | (443) all_64_12 = all_62_3
% 70.75/10.61 |
% 70.75/10.61 | GROUND_INST: instantiating (45) with all_34_0, all_64_12, e3, e0, simplifying
% 70.75/10.61 | with (107), (255) gives:
% 70.75/10.61 | (444) all_64_12 = all_34_0
% 70.75/10.61 |
% 70.75/10.61 | GROUND_INST: instantiating (45) with all_62_3, all_66_72, e3, e0, simplifying
% 70.75/10.61 | with (238), (285) gives:
% 70.75/10.61 | (445) all_66_72 = all_62_3
% 70.75/10.61 |
% 70.75/10.61 | GROUND_INST: instantiating (45) with all_28_0, all_66_72, e3, e0, simplifying
% 70.75/10.61 | with (95), (285) gives:
% 70.75/10.61 | (446) all_66_72 = all_28_0
% 70.75/10.61 |
% 70.75/10.61 | GROUND_INST: instantiating (45) with all_24_0, all_62_14, e0, e1, simplifying
% 70.75/10.61 | with (88), (239) gives:
% 70.75/10.61 | (447) all_62_14 = all_24_0
% 70.75/10.61 |
% 70.75/10.61 | GROUND_INST: instantiating (45) with all_64_11, all_66_70, e0, e1, simplifying
% 70.75/10.61 | with (256), (302) gives:
% 70.75/10.61 | (448) all_66_70 = all_64_11
% 70.75/10.61 |
% 70.75/10.61 | GROUND_INST: instantiating (45) with all_62_14, all_66_70, e0, e1, simplifying
% 70.75/10.61 | with (239), (302) gives:
% 70.75/10.61 | (449) all_66_70 = all_62_14
% 70.75/10.61 |
% 70.75/10.61 | GROUND_INST: instantiating (45) with all_8_0, all_66_70, e0, e1, simplifying
% 70.75/10.61 | with (56), (302) gives:
% 70.75/10.61 | (450) all_66_70 = all_8_0
% 70.75/10.61 |
% 70.75/10.61 | GROUND_INST: instantiating (45) with all_12_1, all_40_1, e1, e1, simplifying
% 70.75/10.61 | with (63), (119) gives:
% 70.75/10.61 | (451) all_40_1 = all_12_1
% 70.75/10.61 |
% 70.75/10.61 | GROUND_INST: instantiating (45) with all_40_1, all_42_1, e1, e1, simplifying
% 70.75/10.61 | with (119), (124) gives:
% 70.75/10.61 | (452) all_42_1 = all_40_1
% 70.75/10.61 |
% 70.75/10.61 | GROUND_INST: instantiating (45) with all_42_1, all_48_1, e1, e1, simplifying
% 70.75/10.61 | with (124), (135) gives:
% 70.75/10.61 | (453) all_48_1 = all_42_1
% 70.75/10.61 |
% 70.75/10.61 | GROUND_INST: instantiating (45) with all_48_1, all_50_1, e1, e1, simplifying
% 70.75/10.61 | with (135), (140) gives:
% 70.75/10.61 | (454) all_50_1 = all_48_1
% 70.75/10.61 |
% 70.75/10.61 | GROUND_INST: instantiating (45) with all_50_1, all_56_2, e1, e1, simplifying
% 70.75/10.61 | with (140), (160) gives:
% 70.75/10.61 | (455) all_56_2 = all_50_1
% 70.75/10.61 |
% 70.75/10.61 | GROUND_INST: instantiating (45) with all_56_2, all_62_10, e1, e1, simplifying
% 70.75/10.61 | with (160), (240) gives:
% 70.75/10.61 | (456) all_62_10 = all_56_2
% 70.75/10.61 |
% 70.75/10.61 | GROUND_INST: instantiating (45) with all_64_10, all_66_68, e1, e1, simplifying
% 70.75/10.61 | with (257), (303) gives:
% 70.75/10.61 | (457) all_66_68 = all_64_10
% 70.75/10.61 |
% 70.75/10.62 | GROUND_INST: instantiating (45) with all_62_10, all_66_68, e1, e1, simplifying
% 70.75/10.62 | with (240), (303) gives:
% 70.75/10.62 | (458) all_66_68 = all_62_10
% 70.75/10.62 |
% 70.75/10.62 | GROUND_INST: instantiating (45) with all_16_1, all_66_68, e1, e1, simplifying
% 70.75/10.62 | with (71), (303) gives:
% 70.75/10.62 | (459) all_66_68 = all_16_1
% 70.75/10.62 |
% 70.75/10.62 | GROUND_INST: instantiating (45) with all_18_0, all_62_6, e2, e1, simplifying
% 70.75/10.62 | with (75), (241) gives:
% 70.75/10.62 | (460) all_62_6 = all_18_0
% 70.75/10.62 |
% 70.75/10.62 | GROUND_INST: instantiating (45) with all_62_6, all_64_9, e2, e1, simplifying
% 70.75/10.62 | with (241), (258) gives:
% 70.75/10.62 | (461) all_64_9 = all_62_6
% 70.75/10.62 |
% 70.75/10.62 | GROUND_INST: instantiating (45) with all_64_9, all_66_66, e2, e1, simplifying
% 70.75/10.62 | with (258), (304) gives:
% 70.75/10.62 | (462) all_66_66 = all_64_9
% 70.75/10.62 |
% 70.75/10.62 | GROUND_INST: instantiating (45) with all_10_0, all_66_66, e2, e1, simplifying
% 70.75/10.62 | with (59), (304) gives:
% 70.75/10.62 | (463) all_66_66 = all_10_0
% 70.75/10.62 |
% 70.75/10.62 | GROUND_INST: instantiating (45) with all_4_0, all_62_2, e3, e1, simplifying
% 70.75/10.62 | with (47), (242) gives:
% 70.75/10.62 | (464) all_62_2 = all_4_0
% 70.75/10.62 |
% 70.75/10.62 | GROUND_INST: instantiating (45) with all_62_2, all_64_8, e3, e1, simplifying
% 70.75/10.62 | with (242), (259) gives:
% 70.75/10.62 | (465) all_64_8 = all_62_2
% 70.75/10.62 |
% 70.75/10.62 | GROUND_INST: instantiating (45) with all_64_8, all_66_64, e3, e1, simplifying
% 70.75/10.62 | with (259), (305) gives:
% 70.75/10.62 | (466) all_66_64 = all_64_8
% 70.75/10.62 |
% 70.75/10.62 | GROUND_INST: instantiating (45) with all_32_0, all_66_64, e3, e1, simplifying
% 70.75/10.62 | with (103), (305) gives:
% 70.75/10.62 | (467) all_66_64 = all_32_0
% 70.75/10.62 |
% 70.75/10.62 | GROUND_INST: instantiating (45) with all_22_0, all_62_13, e0, e2, simplifying
% 70.75/10.62 | with (84), (243) gives:
% 70.75/10.62 | (468) all_62_13 = all_22_0
% 70.75/10.62 |
% 70.75/10.62 | GROUND_INST: instantiating (45) with all_64_7, all_66_62, e0, e2, simplifying
% 70.75/10.62 | with (260), (322) gives:
% 70.75/10.62 | (469) all_66_62 = all_64_7
% 70.75/10.62 |
% 70.75/10.62 | GROUND_INST: instantiating (45) with all_62_13, all_66_62, e0, e2, simplifying
% 70.75/10.62 | with (243), (322) gives:
% 70.75/10.62 | (470) all_66_62 = all_62_13
% 70.75/10.62 |
% 70.75/10.62 | GROUND_INST: instantiating (45) with all_38_0, all_66_62, e0, e2, simplifying
% 70.75/10.62 | with (116), (322) gives:
% 70.75/10.62 | (471) all_66_62 = all_38_0
% 70.75/10.62 |
% 70.75/10.62 | GROUND_INST: instantiating (45) with all_12_0, all_62_9, e1, e2, simplifying
% 70.75/10.62 | with (64), (244) gives:
% 70.75/10.62 | (472) all_62_9 = all_12_0
% 70.75/10.62 |
% 70.75/10.62 | GROUND_INST: instantiating (45) with all_62_9, all_64_6, e1, e2, simplifying
% 70.75/10.62 | with (244), (261) gives:
% 70.75/10.62 | (473) all_64_6 = all_62_9
% 70.75/10.62 |
% 70.75/10.62 | GROUND_INST: instantiating (45) with all_64_6, all_66_60, e1, e2, simplifying
% 70.75/10.62 | with (261), (323) gives:
% 70.75/10.62 | (474) all_66_60 = all_64_6
% 70.75/10.62 |
% 70.75/10.62 | GROUND_INST: instantiating (45) with all_16_0, all_66_60, e1, e2, simplifying
% 70.75/10.62 | with (72), (323) gives:
% 70.75/10.62 | (475) all_66_60 = all_16_0
% 70.75/10.62 |
% 70.75/10.62 | GROUND_INST: instantiating (45) with all_14_1, all_20_1, e2, e2, simplifying
% 70.75/10.62 | with (67), (80) gives:
% 70.75/10.62 | (476) all_20_1 = all_14_1
% 70.75/10.62 |
% 70.75/10.62 | GROUND_INST: instantiating (45) with all_20_1, all_26_1, e2, e2, simplifying
% 70.75/10.62 | with (80), (91) gives:
% 70.75/10.62 | (477) all_26_1 = all_20_1
% 70.75/10.62 |
% 70.75/10.62 | GROUND_INST: instantiating (45) with all_18_1, all_26_1, e2, e2, simplifying
% 70.75/10.62 | with (76), (91) gives:
% 70.75/10.62 | (478) all_26_1 = all_18_1
% 70.75/10.62 |
% 70.75/10.62 | GROUND_INST: instantiating (45) with all_20_1, all_46_1, e2, e2, simplifying
% 70.75/10.62 | with (80), (132) gives:
% 70.75/10.62 | (479) all_46_1 = all_20_1
% 70.75/10.62 |
% 70.75/10.62 | GROUND_INST: instantiating (45) with all_46_1, all_56_1, e2, e2, simplifying
% 70.75/10.62 | with (132), (161) gives:
% 70.75/10.62 | (480) all_56_1 = all_46_1
% 70.75/10.62 |
% 70.75/10.62 | GROUND_INST: instantiating (45) with all_10_1, all_64_5, e2, e2, simplifying
% 70.75/10.62 | with (60), (262) gives:
% 70.75/10.62 | (481) all_64_5 = all_10_1
% 70.75/10.62 |
% 70.75/10.62 | GROUND_INST: instantiating (45) with all_64_5, all_66_58, e2, e2, simplifying
% 70.75/10.62 | with (262), (324) gives:
% 70.75/10.62 | (482) all_66_58 = all_64_5
% 70.75/10.62 |
% 70.75/10.62 | GROUND_INST: instantiating (45) with all_62_5, all_66_58, e2, e2, simplifying
% 70.75/10.62 | with (245), (324) gives:
% 70.75/10.62 | (483) all_66_58 = all_62_5
% 70.75/10.62 |
% 70.75/10.62 | GROUND_INST: instantiating (45) with all_56_1, all_66_58, e2, e2, simplifying
% 70.75/10.62 | with (161), (324) gives:
% 70.75/10.62 | (484) all_66_58 = all_56_1
% 70.75/10.62 |
% 70.75/10.62 | GROUND_INST: instantiating (45) with all_6_0, all_62_1, e3, e2, simplifying
% 70.75/10.62 | with (51), (246) gives:
% 70.75/10.62 | (485) all_62_1 = all_6_0
% 70.75/10.62 |
% 70.75/10.62 | GROUND_INST: instantiating (45) with all_62_1, all_64_4, e3, e2, simplifying
% 70.75/10.62 | with (246), (263) gives:
% 70.75/10.62 | (486) all_64_4 = all_62_1
% 70.75/10.62 |
% 70.75/10.62 | GROUND_INST: instantiating (45) with all_64_4, all_66_56, e3, e2, simplifying
% 70.75/10.62 | with (263), (325) gives:
% 70.75/10.62 | (487) all_66_56 = all_64_4
% 70.75/10.62 |
% 70.75/10.62 | GROUND_INST: instantiating (45) with all_30_0, all_66_56, e3, e2, simplifying
% 70.75/10.62 | with (99), (325) gives:
% 70.75/10.62 | (488) all_66_56 = all_30_0
% 70.75/10.62 |
% 70.75/10.62 | GROUND_INST: instantiating (45) with all_44_0, all_62_12, e0, e3, simplifying
% 70.75/10.62 | with (128), (247) gives:
% 70.75/10.62 | (489) all_62_12 = all_44_0
% 70.75/10.62 |
% 70.75/10.62 | GROUND_INST: instantiating (45) with all_62_12, all_64_3, e0, e3, simplifying
% 70.75/10.62 | with (247), (264) gives:
% 70.75/10.62 | (490) all_64_3 = all_62_12
% 70.75/10.62 |
% 70.75/10.62 | GROUND_INST: instantiating (45) with all_64_3, all_66_54, e0, e3, simplifying
% 70.75/10.62 | with (264), (342) gives:
% 70.75/10.62 | (491) all_66_54 = all_64_3
% 70.75/10.62 |
% 70.75/10.62 | GROUND_INST: instantiating (45) with all_36_0, all_66_54, e0, e3, simplifying
% 70.75/10.62 | with (112), (342) gives:
% 70.75/10.62 | (492) all_66_54 = all_36_0
% 70.75/10.62 |
% 70.75/10.62 | GROUND_INST: instantiating (45) with all_62_8, all_64_2, e1, e3, simplifying
% 70.75/10.62 | with (248), (265) gives:
% 70.75/10.62 | (493) all_64_2 = all_62_8
% 70.75/10.62 |
% 70.75/10.62 | GROUND_INST: instantiating (45) with all_40_0, all_64_2, e1, e3, simplifying
% 70.75/10.62 | with (120), (265) gives:
% 70.75/10.62 | (494) all_64_2 = all_40_0
% 70.75/10.62 |
% 70.75/10.62 | GROUND_INST: instantiating (45) with all_62_8, all_66_52, e1, e3, simplifying
% 70.75/10.62 | with (248), (343) gives:
% 70.75/10.62 | (495) all_66_52 = all_62_8
% 70.75/10.62 |
% 70.75/10.62 | GROUND_INST: instantiating (45) with all_48_0, all_66_52, e1, e3, simplifying
% 70.75/10.62 | with (136), (343) gives:
% 70.75/10.62 | (496) all_66_52 = all_48_0
% 70.75/10.62 |
% 70.75/10.62 | GROUND_INST: instantiating (45) with all_26_0, all_62_4, e2, e3, simplifying
% 70.75/10.62 | with (92), (249) gives:
% 70.75/10.62 | (497) all_62_4 = all_26_0
% 70.75/10.62 |
% 70.75/10.62 | GROUND_INST: instantiating (45) with all_62_4, all_64_1, e2, e3, simplifying
% 70.75/10.62 | with (249), (266) gives:
% 70.75/10.62 | (498) all_64_1 = all_62_4
% 70.75/10.62 |
% 70.75/10.62 | GROUND_INST: instantiating (45) with all_64_1, all_66_50, e2, e3, simplifying
% 70.75/10.62 | with (266), (344) gives:
% 70.75/10.62 | (499) all_66_50 = all_64_1
% 70.75/10.62 |
% 70.75/10.62 | GROUND_INST: instantiating (45) with all_14_0, all_66_50, e2, e3, simplifying
% 70.75/10.62 | with (68), (344) gives:
% 70.75/10.62 | (500) all_66_50 = all_14_0
% 70.75/10.62 |
% 70.75/10.62 | GROUND_INST: instantiating (45) with all_28_1, all_30_1, e3, e3, simplifying
% 70.75/10.62 | with (96), (100) gives:
% 70.75/10.62 | (501) all_30_1 = all_28_1
% 70.75/10.62 |
% 70.75/10.62 | GROUND_INST: instantiating (45) with all_30_1, all_32_1, e3, e3, simplifying
% 70.75/10.62 | with (100), (104) gives:
% 70.75/10.62 | (502) all_32_1 = all_30_1
% 70.75/10.62 |
% 70.75/10.62 | GROUND_INST: instantiating (45) with all_28_1, all_34_1, e3, e3, simplifying
% 70.75/10.62 | with (96), (108) gives:
% 70.75/10.62 | (503) all_34_1 = all_28_1
% 70.75/10.62 |
% 70.75/10.62 | GROUND_INST: instantiating (45) with all_32_1, all_56_0, e3, e3, simplifying
% 70.75/10.62 | with (104), (162) gives:
% 70.75/10.62 | (504) all_56_0 = all_32_1
% 70.75/10.62 |
% 70.75/10.62 | GROUND_INST: instantiating (45) with all_34_1, all_62_0, e3, e3, simplifying
% 70.75/10.62 | with (108), (250) gives:
% 70.75/10.62 | (505) all_62_0 = all_34_1
% 70.75/10.62 |
% 70.75/10.62 | GROUND_INST: instantiating (45) with all_6_1, all_62_0, e3, e3, simplifying
% 70.75/10.62 | with (52), (250) gives:
% 70.75/10.62 | (506) all_62_0 = all_6_1
% 70.75/10.62 |
% 70.75/10.62 | GROUND_INST: instantiating (45) with all_56_0, all_64_0, e3, e3, simplifying
% 70.75/10.62 | with (162), (267) gives:
% 70.75/10.62 | (507) all_64_0 = all_56_0
% 70.75/10.62 |
% 70.75/10.62 | GROUND_INST: instantiating (45) with all_64_0, all_66_48, e3, e3, simplifying
% 70.75/10.62 | with (267), (345) gives:
% 70.75/10.62 | (508) all_66_48 = all_64_0
% 70.75/10.62 |
% 70.75/10.62 | GROUND_INST: instantiating (45) with all_4_1, all_66_48, e3, e3, simplifying
% 70.75/10.62 | with (48), (345) gives:
% 70.75/10.62 | (509) all_66_48 = all_4_1
% 70.75/10.62 |
% 70.75/10.62 | GROUND_INST: instantiating (44) with all_58_3, all_60_3, e0, simplifying with
% 70.75/10.62 | (165), (184) gives:
% 70.75/10.63 | (510) all_60_3 = all_58_3
% 70.75/10.63 |
% 70.75/10.63 | GROUND_INST: instantiating (44) with all_54_3, all_60_3, e0, simplifying with
% 70.75/10.63 | (154), (184) gives:
% 70.75/10.63 | (511) all_60_3 = all_54_3
% 70.75/10.63 |
% 70.75/10.63 | GROUND_INST: instantiating (44) with all_52_3, all_60_3, e0, simplifying with
% 70.75/10.63 | (143), (184) gives:
% 70.75/10.63 | (512) all_60_3 = all_52_3
% 70.75/10.63 |
% 70.75/10.63 | GROUND_INST: instantiating (44) with all_54_2, all_58_2, e1, simplifying with
% 70.75/10.63 | (155), (166) gives:
% 70.75/10.63 | (513) all_58_2 = all_54_2
% 70.75/10.63 |
% 70.75/10.63 | GROUND_INST: instantiating (44) with all_58_2, all_60_2, e1, simplifying with
% 70.75/10.63 | (166), (185) gives:
% 70.75/10.63 | (514) all_60_2 = all_58_2
% 70.75/10.63 |
% 70.75/10.63 | GROUND_INST: instantiating (44) with all_52_2, all_60_2, e1, simplifying with
% 70.75/10.63 | (144), (185) gives:
% 70.75/10.63 | (515) all_60_2 = all_52_2
% 70.75/10.63 |
% 70.75/10.63 | GROUND_INST: instantiating (44) with all_54_1, all_58_1, e2, simplifying with
% 70.75/10.63 | (156), (167) gives:
% 70.75/10.63 | (516) all_58_1 = all_54_1
% 70.75/10.63 |
% 70.75/10.63 | GROUND_INST: instantiating (44) with all_58_1, all_60_1, e2, simplifying with
% 70.75/10.63 | (167), (186) gives:
% 70.75/10.63 | (517) all_60_1 = all_58_1
% 70.75/10.63 |
% 70.75/10.63 | GROUND_INST: instantiating (44) with all_52_1, all_60_1, e2, simplifying with
% 70.75/10.63 | (145), (186) gives:
% 70.75/10.63 | (518) all_60_1 = all_52_1
% 70.75/10.63 |
% 70.75/10.63 | GROUND_INST: instantiating (44) with all_58_0, all_60_0, e3, simplifying with
% 70.75/10.63 | (168), (187) gives:
% 70.75/10.63 | (519) all_60_0 = all_58_0
% 70.75/10.63 |
% 70.75/10.63 | GROUND_INST: instantiating (44) with all_54_0, all_60_0, e3, simplifying with
% 70.75/10.63 | (157), (187) gives:
% 70.75/10.63 | (520) all_60_0 = all_54_0
% 70.75/10.63 |
% 70.75/10.63 | GROUND_INST: instantiating (44) with all_52_0, all_60_0, e3, simplifying with
% 70.75/10.63 | (146), (187) gives:
% 70.75/10.63 | (521) all_60_0 = all_52_0
% 70.75/10.63 |
% 70.75/10.63 | COMBINE_EQS: (508), (509) imply:
% 70.75/10.63 | (522) all_64_0 = all_4_1
% 70.75/10.63 |
% 70.75/10.63 | SIMP: (522) implies:
% 70.75/10.63 | (523) all_64_0 = all_4_1
% 70.75/10.63 |
% 70.75/10.63 | COMBINE_EQS: (499), (500) imply:
% 70.75/10.63 | (524) all_64_1 = all_14_0
% 70.75/10.63 |
% 70.75/10.63 | SIMP: (524) implies:
% 70.75/10.63 | (525) all_64_1 = all_14_0
% 70.75/10.63 |
% 70.75/10.63 | COMBINE_EQS: (495), (496) imply:
% 70.75/10.63 | (526) all_62_8 = all_48_0
% 70.75/10.63 |
% 70.75/10.63 | SIMP: (526) implies:
% 70.75/10.63 | (527) all_62_8 = all_48_0
% 70.75/10.63 |
% 70.75/10.63 | COMBINE_EQS: (491), (492) imply:
% 70.75/10.63 | (528) all_64_3 = all_36_0
% 70.75/10.63 |
% 70.75/10.63 | SIMP: (528) implies:
% 70.75/10.63 | (529) all_64_3 = all_36_0
% 70.75/10.63 |
% 70.75/10.63 | COMBINE_EQS: (487), (488) imply:
% 70.75/10.63 | (530) all_64_4 = all_30_0
% 70.75/10.63 |
% 70.75/10.63 | SIMP: (530) implies:
% 70.75/10.63 | (531) all_64_4 = all_30_0
% 70.75/10.63 |
% 70.75/10.63 | COMBINE_EQS: (482), (483) imply:
% 70.75/10.63 | (532) all_64_5 = all_62_5
% 70.75/10.63 |
% 70.75/10.63 | SIMP: (532) implies:
% 70.75/10.63 | (533) all_64_5 = all_62_5
% 70.75/10.63 |
% 70.75/10.63 | COMBINE_EQS: (483), (484) imply:
% 70.75/10.63 | (534) all_62_5 = all_56_1
% 70.75/10.63 |
% 70.75/10.63 | COMBINE_EQS: (474), (475) imply:
% 70.75/10.63 | (535) all_64_6 = all_16_0
% 70.75/10.63 |
% 70.75/10.63 | SIMP: (535) implies:
% 70.75/10.63 | (536) all_64_6 = all_16_0
% 70.75/10.63 |
% 70.75/10.63 | COMBINE_EQS: (469), (470) imply:
% 70.75/10.63 | (537) all_64_7 = all_62_13
% 70.75/10.63 |
% 70.75/10.63 | COMBINE_EQS: (469), (471) imply:
% 70.75/10.63 | (538) all_64_7 = all_38_0
% 70.75/10.63 |
% 70.75/10.63 | COMBINE_EQS: (466), (467) imply:
% 70.75/10.63 | (539) all_64_8 = all_32_0
% 70.75/10.63 |
% 70.75/10.63 | SIMP: (539) implies:
% 70.75/10.63 | (540) all_64_8 = all_32_0
% 70.75/10.63 |
% 70.75/10.63 | COMBINE_EQS: (462), (463) imply:
% 70.75/10.63 | (541) all_64_9 = all_10_0
% 70.75/10.63 |
% 70.75/10.63 | SIMP: (541) implies:
% 70.75/10.63 | (542) all_64_9 = all_10_0
% 70.75/10.63 |
% 70.75/10.63 | COMBINE_EQS: (457), (459) imply:
% 70.75/10.63 | (543) all_64_10 = all_16_1
% 70.75/10.63 |
% 70.75/10.63 | COMBINE_EQS: (457), (458) imply:
% 70.75/10.63 | (544) all_64_10 = all_62_10
% 70.75/10.63 |
% 70.75/10.63 | COMBINE_EQS: (448), (449) imply:
% 70.75/10.63 | (545) all_64_11 = all_62_14
% 70.75/10.63 |
% 70.75/10.63 | COMBINE_EQS: (448), (450) imply:
% 70.75/10.63 | (546) all_64_11 = all_8_0
% 70.75/10.63 |
% 70.75/10.63 | COMBINE_EQS: (445), (446) imply:
% 70.75/10.63 | (547) all_62_3 = all_28_0
% 70.75/10.63 |
% 70.75/10.63 | SIMP: (547) implies:
% 70.75/10.63 | (548) all_62_3 = all_28_0
% 70.75/10.63 |
% 70.75/10.63 | COMBINE_EQS: (441), (442) imply:
% 70.75/10.63 | (549) all_64_13 = all_20_0
% 70.75/10.63 |
% 70.75/10.63 | SIMP: (549) implies:
% 70.75/10.63 | (550) all_64_13 = all_20_0
% 70.75/10.63 |
% 70.75/10.63 | COMBINE_EQS: (435), (438) imply:
% 70.75/10.63 | (551) all_64_14 = all_42_0
% 70.75/10.63 |
% 70.75/10.63 | COMBINE_EQS: (435), (437) imply:
% 70.75/10.63 | (552) all_64_14 = all_50_0
% 70.75/10.63 |
% 70.75/10.63 | COMBINE_EQS: (435), (436) imply:
% 70.75/10.63 | (553) all_64_14 = all_62_11
% 70.75/10.63 |
% 70.75/10.63 | COMBINE_EQS: (431), (432) imply:
% 70.75/10.63 | (554) all_56_3 = all_44_1
% 70.75/10.63 |
% 70.75/10.63 | SIMP: (554) implies:
% 70.75/10.63 | (555) all_56_3 = all_44_1
% 70.75/10.63 |
% 70.75/10.63 | COMBINE_EQS: (432), (434) imply:
% 70.75/10.63 | (556) all_44_1 = all_8_1
% 70.75/10.63 |
% 70.75/10.63 | COMBINE_EQS: (432), (433) imply:
% 70.75/10.63 | (557) all_44_1 = all_36_1
% 70.75/10.63 |
% 70.75/10.63 | COMBINE_EQS: (507), (523) imply:
% 70.75/10.63 | (558) all_56_0 = all_4_1
% 70.75/10.63 |
% 70.75/10.63 | SIMP: (558) implies:
% 70.75/10.63 | (559) all_56_0 = all_4_1
% 70.75/10.63 |
% 70.75/10.63 | COMBINE_EQS: (498), (525) imply:
% 70.75/10.63 | (560) all_62_4 = all_14_0
% 70.75/10.63 |
% 70.75/10.63 | SIMP: (560) implies:
% 70.75/10.63 | (561) all_62_4 = all_14_0
% 70.75/10.63 |
% 70.75/10.63 | COMBINE_EQS: (493), (494) imply:
% 70.75/10.63 | (562) all_62_8 = all_40_0
% 70.75/10.63 |
% 70.75/10.63 | SIMP: (562) implies:
% 70.75/10.63 | (563) all_62_8 = all_40_0
% 70.75/10.63 |
% 70.75/10.63 | COMBINE_EQS: (490), (529) imply:
% 70.75/10.63 | (564) all_62_12 = all_36_0
% 70.75/10.63 |
% 70.75/10.63 | SIMP: (564) implies:
% 70.75/10.63 | (565) all_62_12 = all_36_0
% 70.75/10.63 |
% 70.75/10.63 | COMBINE_EQS: (486), (531) imply:
% 70.75/10.63 | (566) all_62_1 = all_30_0
% 70.75/10.63 |
% 70.75/10.63 | SIMP: (566) implies:
% 70.75/10.63 | (567) all_62_1 = all_30_0
% 70.75/10.63 |
% 70.75/10.63 | COMBINE_EQS: (481), (533) imply:
% 70.75/10.63 | (568) all_62_5 = all_10_1
% 70.75/10.63 |
% 71.20/10.63 | SIMP: (568) implies:
% 71.20/10.63 | (569) all_62_5 = all_10_1
% 71.20/10.63 |
% 71.20/10.63 | COMBINE_EQS: (473), (536) imply:
% 71.20/10.63 | (570) all_62_9 = all_16_0
% 71.20/10.63 |
% 71.20/10.63 | SIMP: (570) implies:
% 71.20/10.63 | (571) all_62_9 = all_16_0
% 71.20/10.63 |
% 71.20/10.63 | COMBINE_EQS: (537), (538) imply:
% 71.20/10.63 | (572) all_62_13 = all_38_0
% 71.20/10.63 |
% 71.20/10.63 | SIMP: (572) implies:
% 71.20/10.63 | (573) all_62_13 = all_38_0
% 71.20/10.63 |
% 71.20/10.63 | COMBINE_EQS: (465), (540) imply:
% 71.20/10.63 | (574) all_62_2 = all_32_0
% 71.20/10.63 |
% 71.20/10.63 | SIMP: (574) implies:
% 71.20/10.63 | (575) all_62_2 = all_32_0
% 71.20/10.63 |
% 71.20/10.63 | COMBINE_EQS: (461), (542) imply:
% 71.20/10.63 | (576) all_62_6 = all_10_0
% 71.20/10.63 |
% 71.20/10.63 | SIMP: (576) implies:
% 71.20/10.63 | (577) all_62_6 = all_10_0
% 71.20/10.63 |
% 71.20/10.63 | COMBINE_EQS: (543), (544) imply:
% 71.20/10.63 | (578) all_62_10 = all_16_1
% 71.20/10.63 |
% 71.20/10.63 | SIMP: (578) implies:
% 71.20/10.63 | (579) all_62_10 = all_16_1
% 71.20/10.63 |
% 71.20/10.63 | COMBINE_EQS: (545), (546) imply:
% 71.20/10.63 | (580) all_62_14 = all_8_0
% 71.20/10.63 |
% 71.20/10.63 | SIMP: (580) implies:
% 71.20/10.63 | (581) all_62_14 = all_8_0
% 71.20/10.63 |
% 71.20/10.63 | COMBINE_EQS: (443), (444) imply:
% 71.20/10.63 | (582) all_62_3 = all_34_0
% 71.20/10.63 |
% 71.20/10.63 | SIMP: (582) implies:
% 71.20/10.63 | (583) all_62_3 = all_34_0
% 71.20/10.63 |
% 71.20/10.63 | COMBINE_EQS: (440), (550) imply:
% 71.20/10.63 | (584) all_62_7 = all_20_0
% 71.20/10.63 |
% 71.20/10.63 | SIMP: (584) implies:
% 71.20/10.63 | (585) all_62_7 = all_20_0
% 71.20/10.63 |
% 71.20/10.63 | COMBINE_EQS: (552), (553) imply:
% 71.20/10.63 | (586) all_62_11 = all_50_0
% 71.20/10.63 |
% 71.20/10.63 | COMBINE_EQS: (551), (553) imply:
% 71.20/10.63 | (587) all_62_11 = all_42_0
% 71.20/10.63 |
% 71.20/10.63 | COMBINE_EQS: (428), (429) imply:
% 71.20/10.63 | (588) all_62_15 = all_56_3
% 71.20/10.63 |
% 71.20/10.63 | COMBINE_EQS: (428), (430) imply:
% 71.20/10.63 | (589) all_62_15 = all_24_1
% 71.20/10.63 |
% 71.20/10.63 | COMBINE_EQS: (505), (506) imply:
% 71.20/10.63 | (590) all_34_1 = all_6_1
% 71.20/10.63 |
% 71.20/10.63 | SIMP: (590) implies:
% 71.20/10.63 | (591) all_34_1 = all_6_1
% 71.20/10.63 |
% 71.20/10.63 | COMBINE_EQS: (485), (567) imply:
% 71.20/10.63 | (592) all_30_0 = all_6_0
% 71.20/10.63 |
% 71.20/10.63 | SIMP: (592) implies:
% 71.20/10.63 | (593) all_30_0 = all_6_0
% 71.20/10.63 |
% 71.20/10.63 | COMBINE_EQS: (464), (575) imply:
% 71.20/10.63 | (594) all_32_0 = all_4_0
% 71.20/10.63 |
% 71.20/10.63 | SIMP: (594) implies:
% 71.20/10.63 | (595) all_32_0 = all_4_0
% 71.20/10.63 |
% 71.20/10.63 | COMBINE_EQS: (548), (583) imply:
% 71.20/10.63 | (596) all_34_0 = all_28_0
% 71.20/10.63 |
% 71.20/10.63 | COMBINE_EQS: (497), (561) imply:
% 71.20/10.63 | (597) all_26_0 = all_14_0
% 71.20/10.63 |
% 71.20/10.63 | SIMP: (597) implies:
% 71.20/10.63 | (598) all_26_0 = all_14_0
% 71.20/10.63 |
% 71.20/10.63 | COMBINE_EQS: (534), (569) imply:
% 71.20/10.64 | (599) all_56_1 = all_10_1
% 71.20/10.64 |
% 71.20/10.64 | SIMP: (599) implies:
% 71.20/10.64 | (600) all_56_1 = all_10_1
% 71.20/10.64 |
% 71.20/10.64 | COMBINE_EQS: (460), (577) imply:
% 71.20/10.64 | (601) all_18_0 = all_10_0
% 71.20/10.64 |
% 71.20/10.64 | SIMP: (601) implies:
% 71.20/10.64 | (602) all_18_0 = all_10_0
% 71.20/10.64 |
% 71.20/10.64 | COMBINE_EQS: (439), (585) imply:
% 71.20/10.64 | (603) all_46_0 = all_20_0
% 71.20/10.64 |
% 71.20/10.64 | SIMP: (603) implies:
% 71.20/10.64 | (604) all_46_0 = all_20_0
% 71.20/10.64 |
% 71.20/10.64 | COMBINE_EQS: (527), (563) imply:
% 71.20/10.64 | (605) all_48_0 = all_40_0
% 71.20/10.64 |
% 71.20/10.64 | COMBINE_EQS: (472), (571) imply:
% 71.20/10.64 | (606) all_16_0 = all_12_0
% 71.20/10.64 |
% 71.20/10.64 | SIMP: (606) implies:
% 71.20/10.64 | (607) all_16_0 = all_12_0
% 71.20/10.64 |
% 71.20/10.64 | COMBINE_EQS: (456), (579) imply:
% 71.20/10.64 | (608) all_56_2 = all_16_1
% 71.20/10.64 |
% 71.20/10.64 | SIMP: (608) implies:
% 71.20/10.64 | (609) all_56_2 = all_16_1
% 71.20/10.64 |
% 71.20/10.64 | COMBINE_EQS: (586), (587) imply:
% 71.20/10.64 | (610) all_50_0 = all_42_0
% 71.20/10.64 |
% 71.20/10.64 | SIMP: (610) implies:
% 71.20/10.64 | (611) all_50_0 = all_42_0
% 71.20/10.64 |
% 71.20/10.64 | COMBINE_EQS: (489), (565) imply:
% 71.20/10.64 | (612) all_44_0 = all_36_0
% 71.20/10.64 |
% 71.20/10.64 | SIMP: (612) implies:
% 71.20/10.64 | (613) all_44_0 = all_36_0
% 71.20/10.64 |
% 71.20/10.64 | COMBINE_EQS: (468), (573) imply:
% 71.20/10.64 | (614) all_38_0 = all_22_0
% 71.20/10.64 |
% 71.20/10.64 | COMBINE_EQS: (447), (581) imply:
% 71.20/10.64 | (615) all_24_0 = all_8_0
% 71.20/10.64 |
% 71.20/10.64 | SIMP: (615) implies:
% 71.20/10.64 | (616) all_24_0 = all_8_0
% 71.20/10.64 |
% 71.20/10.64 | COMBINE_EQS: (588), (589) imply:
% 71.20/10.64 | (617) all_56_3 = all_24_1
% 71.20/10.64 |
% 71.20/10.64 | SIMP: (617) implies:
% 71.20/10.64 | (618) all_56_3 = all_24_1
% 71.20/10.64 |
% 71.20/10.64 | COMBINE_EQS: (519), (520) imply:
% 71.20/10.64 | (619) all_58_0 = all_54_0
% 71.20/10.64 |
% 71.20/10.64 | COMBINE_EQS: (519), (521) imply:
% 71.20/10.64 | (620) all_58_0 = all_52_0
% 71.20/10.64 |
% 71.20/10.64 | COMBINE_EQS: (517), (518) imply:
% 71.20/10.64 | (621) all_58_1 = all_52_1
% 71.20/10.64 |
% 71.20/10.64 | SIMP: (621) implies:
% 71.20/10.64 | (622) all_58_1 = all_52_1
% 71.20/10.64 |
% 71.20/10.64 | COMBINE_EQS: (514), (515) imply:
% 71.20/10.64 | (623) all_58_2 = all_52_2
% 71.20/10.64 |
% 71.20/10.64 | SIMP: (623) implies:
% 71.20/10.64 | (624) all_58_2 = all_52_2
% 71.20/10.64 |
% 71.20/10.64 | COMBINE_EQS: (510), (512) imply:
% 71.20/10.64 | (625) all_58_3 = all_52_3
% 71.20/10.64 |
% 71.20/10.64 | COMBINE_EQS: (510), (511) imply:
% 71.20/10.64 | (626) all_58_3 = all_54_3
% 71.20/10.64 |
% 71.20/10.64 | COMBINE_EQS: (619), (620) imply:
% 71.20/10.64 | (627) all_54_0 = all_52_0
% 71.20/10.64 |
% 71.20/10.64 | SIMP: (627) implies:
% 71.20/10.64 | (628) all_54_0 = all_52_0
% 71.20/10.64 |
% 71.20/10.64 | COMBINE_EQS: (516), (622) imply:
% 71.20/10.64 | (629) all_54_1 = all_52_1
% 71.20/10.64 |
% 71.20/10.64 | COMBINE_EQS: (513), (624) imply:
% 71.20/10.64 | (630) all_54_2 = all_52_2
% 71.20/10.64 |
% 71.20/10.64 | COMBINE_EQS: (625), (626) imply:
% 71.20/10.64 | (631) all_54_3 = all_52_3
% 71.20/10.64 |
% 71.20/10.64 | SIMP: (631) implies:
% 71.20/10.64 | (632) all_54_3 = all_52_3
% 71.20/10.64 |
% 71.20/10.64 | COMBINE_EQS: (504), (559) imply:
% 71.20/10.64 | (633) all_32_1 = all_4_1
% 71.20/10.64 |
% 71.20/10.64 | SIMP: (633) implies:
% 71.20/10.64 | (634) all_32_1 = all_4_1
% 71.20/10.64 |
% 71.20/10.64 | COMBINE_EQS: (480), (600) imply:
% 71.20/10.64 | (635) all_46_1 = all_10_1
% 71.20/10.64 |
% 71.20/10.64 | SIMP: (635) implies:
% 71.20/10.64 | (636) all_46_1 = all_10_1
% 71.20/10.64 |
% 71.20/10.64 | COMBINE_EQS: (455), (609) imply:
% 71.20/10.64 | (637) all_50_1 = all_16_1
% 71.20/10.64 |
% 71.20/10.64 | SIMP: (637) implies:
% 71.20/10.64 | (638) all_50_1 = all_16_1
% 71.20/10.64 |
% 71.20/10.64 | COMBINE_EQS: (555), (618) imply:
% 71.20/10.64 | (639) all_44_1 = all_24_1
% 71.20/10.64 |
% 71.20/10.64 | SIMP: (639) implies:
% 71.20/10.64 | (640) all_44_1 = all_24_1
% 71.20/10.64 |
% 71.20/10.64 | COMBINE_EQS: (454), (638) imply:
% 71.20/10.64 | (641) all_48_1 = all_16_1
% 71.20/10.64 |
% 71.20/10.64 | SIMP: (641) implies:
% 71.20/10.64 | (642) all_48_1 = all_16_1
% 71.20/10.64 |
% 71.20/10.64 | COMBINE_EQS: (453), (642) imply:
% 71.20/10.64 | (643) all_42_1 = all_16_1
% 71.20/10.64 |
% 71.20/10.64 | SIMP: (643) implies:
% 71.20/10.64 | (644) all_42_1 = all_16_1
% 71.20/10.64 |
% 71.20/10.64 | COMBINE_EQS: (479), (636) imply:
% 71.20/10.64 | (645) all_20_1 = all_10_1
% 71.20/10.64 |
% 71.20/10.64 | SIMP: (645) implies:
% 71.20/10.64 | (646) all_20_1 = all_10_1
% 71.20/10.64 |
% 71.20/10.64 | COMBINE_EQS: (556), (640) imply:
% 71.20/10.64 | (647) all_24_1 = all_8_1
% 71.20/10.64 |
% 71.20/10.64 | COMBINE_EQS: (557), (640) imply:
% 71.20/10.64 | (648) all_36_1 = all_24_1
% 71.20/10.64 |
% 71.20/10.64 | SIMP: (648) implies:
% 71.20/10.64 | (649) all_36_1 = all_24_1
% 71.20/10.64 |
% 71.20/10.64 | COMBINE_EQS: (452), (644) imply:
% 71.20/10.64 | (650) all_40_1 = all_16_1
% 71.20/10.64 |
% 71.20/10.64 | SIMP: (650) implies:
% 71.20/10.64 | (651) all_40_1 = all_16_1
% 71.20/10.64 |
% 71.20/10.64 | COMBINE_EQS: (451), (651) imply:
% 71.20/10.64 | (652) all_16_1 = all_12_1
% 71.20/10.64 |
% 71.20/10.64 | SIMP: (652) implies:
% 71.20/10.64 | (653) all_16_1 = all_12_1
% 71.20/10.64 |
% 71.20/10.64 | COMBINE_EQS: (426), (427) imply:
% 71.20/10.64 | (654) all_36_1 = all_22_1
% 71.20/10.64 |
% 71.20/10.64 | SIMP: (654) implies:
% 71.20/10.64 | (655) all_36_1 = all_22_1
% 71.20/10.64 |
% 71.20/10.64 | COMBINE_EQS: (649), (655) imply:
% 71.20/10.64 | (656) all_24_1 = all_22_1
% 71.20/10.64 |
% 71.20/10.64 | SIMP: (656) implies:
% 71.20/10.64 | (657) all_24_1 = all_22_1
% 71.20/10.64 |
% 71.20/10.64 | COMBINE_EQS: (503), (591) imply:
% 71.20/10.64 | (658) all_28_1 = all_6_1
% 71.20/10.64 |
% 71.20/10.64 | SIMP: (658) implies:
% 71.20/10.64 | (659) all_28_1 = all_6_1
% 71.20/10.64 |
% 71.20/10.64 | COMBINE_EQS: (502), (634) imply:
% 71.20/10.64 | (660) all_30_1 = all_4_1
% 71.20/10.64 |
% 71.20/10.64 | SIMP: (660) implies:
% 71.20/10.64 | (661) all_30_1 = all_4_1
% 71.20/10.64 |
% 71.20/10.64 | COMBINE_EQS: (501), (661) imply:
% 71.20/10.64 | (662) all_28_1 = all_4_1
% 71.20/10.64 |
% 71.20/10.64 | SIMP: (662) implies:
% 71.20/10.64 | (663) all_28_1 = all_4_1
% 71.20/10.64 |
% 71.20/10.64 | COMBINE_EQS: (659), (663) imply:
% 71.20/10.64 | (664) all_6_1 = all_4_1
% 71.20/10.64 |
% 71.20/10.64 | COMBINE_EQS: (477), (478) imply:
% 71.20/10.64 | (665) all_20_1 = all_18_1
% 71.20/10.64 |
% 71.20/10.64 | SIMP: (665) implies:
% 71.20/10.64 | (666) all_20_1 = all_18_1
% 71.20/10.64 |
% 71.20/10.64 | COMBINE_EQS: (647), (657) imply:
% 71.20/10.64 | (667) all_22_1 = all_8_1
% 71.20/10.64 |
% 71.20/10.64 | COMBINE_EQS: (476), (666) imply:
% 71.20/10.64 | (668) all_18_1 = all_14_1
% 71.20/10.64 |
% 71.20/10.64 | COMBINE_EQS: (646), (666) imply:
% 71.20/10.64 | (669) all_18_1 = all_10_1
% 71.20/10.64 |
% 71.20/10.64 | COMBINE_EQS: (668), (669) imply:
% 71.20/10.64 | (670) all_14_1 = all_10_1
% 71.20/10.64 |
% 71.20/10.64 | SIMP: (670) implies:
% 71.20/10.64 | (671) all_14_1 = all_10_1
% 71.20/10.64 |
% 71.20/10.64 | COMBINE_EQS: (478), (669) imply:
% 71.20/10.64 | (672) all_26_1 = all_10_1
% 71.20/10.64 |
% 71.20/10.64 | COMBINE_EQS: (591), (664) imply:
% 71.20/10.64 | (673) all_34_1 = all_4_1
% 71.20/10.64 |
% 71.20/10.64 | COMBINE_EQS: (655), (667) imply:
% 71.20/10.64 | (674) all_36_1 = all_8_1
% 71.20/10.64 |
% 71.20/10.64 | COMBINE_EQS: (427), (667) imply:
% 71.20/10.64 | (675) all_38_1 = all_8_1
% 71.20/10.64 |
% 71.20/10.64 | COMBINE_EQS: (644), (653) imply:
% 71.20/10.64 | (676) all_42_1 = all_12_1
% 71.20/10.64 |
% 71.20/10.64 | COMBINE_EQS: (642), (653) imply:
% 71.20/10.64 | (677) all_48_1 = all_12_1
% 71.20/10.64 |
% 71.20/10.64 | COMBINE_EQS: (638), (653) imply:
% 71.20/10.64 | (678) all_50_1 = all_12_1
% 71.20/10.64 |
% 71.20/10.64 | COMBINE_EQS: (618), (647) imply:
% 71.20/10.64 | (679) all_56_3 = all_8_1
% 71.20/10.64 |
% 71.20/10.64 | COMBINE_EQS: (609), (653) imply:
% 71.20/10.64 | (680) all_56_2 = all_12_1
% 71.20/10.64 |
% 71.20/10.64 | COMBINE_EQS: (589), (647) imply:
% 71.20/10.64 | (681) all_62_15 = all_8_1
% 71.20/10.64 |
% 71.20/10.64 | COMBINE_EQS: (579), (653) imply:
% 71.20/10.64 | (682) all_62_10 = all_12_1
% 71.20/10.64 |
% 71.20/10.64 | COMBINE_EQS: (506), (664) imply:
% 71.20/10.64 | (683) all_62_0 = all_4_1
% 71.20/10.64 |
% 71.20/10.64 | COMBINE_EQS: (444), (596) imply:
% 71.20/10.64 | (684) all_64_12 = all_28_0
% 71.20/10.64 |
% 71.20/10.64 | COMBINE_EQS: (543), (653) imply:
% 71.20/10.64 | (685) all_64_10 = all_12_1
% 71.20/10.64 |
% 71.20/10.64 | COMBINE_EQS: (540), (595) imply:
% 71.20/10.64 | (686) all_64_8 = all_4_0
% 71.20/10.64 |
% 71.20/10.64 | COMBINE_EQS: (538), (614) imply:
% 71.20/10.64 | (687) all_64_7 = all_22_0
% 71.20/10.64 |
% 71.20/10.64 | COMBINE_EQS: (536), (607) imply:
% 71.20/10.64 | (688) all_64_6 = all_12_0
% 71.20/10.64 |
% 71.20/10.64 | COMBINE_EQS: (531), (593) imply:
% 71.20/10.64 | (689) all_64_4 = all_6_0
% 71.20/10.64 |
% 71.20/10.64 | COMBINE_EQS: (457), (685) imply:
% 71.20/10.64 | (690) all_66_68 = all_12_1
% 71.20/10.64 |
% 71.20/10.64 | COMBINE_EQS: (467), (595) imply:
% 71.20/10.64 | (691) all_66_64 = all_4_0
% 71.20/10.64 |
% 71.20/10.64 | COMBINE_EQS: (469), (687) imply:
% 71.20/10.64 | (692) all_66_62 = all_22_0
% 71.20/10.64 |
% 71.20/10.64 | COMBINE_EQS: (475), (607) imply:
% 71.20/10.64 | (693) all_66_60 = all_12_0
% 71.20/10.64 |
% 71.20/10.64 | COMBINE_EQS: (483), (569) imply:
% 71.20/10.64 | (694) all_66_58 = all_10_1
% 71.20/10.64 |
% 71.20/10.64 | COMBINE_EQS: (488), (593) imply:
% 71.20/10.64 | (695) all_66_56 = all_6_0
% 71.20/10.64 |
% 71.20/10.64 | COMBINE_EQS: (496), (605) imply:
% 71.20/10.64 | (696) all_66_52 = all_40_0
% 71.20/10.64 |
% 71.20/10.64 | REDUCE: (234), (485), (683) imply:
% 71.20/10.64 | (697) ~ (all_6_0 = all_4_1)
% 71.20/10.64 |
% 71.20/10.64 | SIMP: (697) implies:
% 71.20/10.64 | (698) ~ (all_6_0 = all_4_1)
% 71.20/10.64 |
% 71.20/10.64 | REDUCE: (233), (464), (683) imply:
% 71.20/10.64 | (699) ~ (all_4_0 = all_4_1)
% 71.20/10.64 |
% 71.20/10.64 | SIMP: (699) implies:
% 71.20/10.64 | (700) ~ (all_4_0 = all_4_1)
% 71.20/10.64 |
% 71.20/10.64 | REDUCE: (232), (548), (683) imply:
% 71.20/10.64 | (701) ~ (all_28_0 = all_4_1)
% 71.20/10.64 |
% 71.20/10.64 | SIMP: (701) implies:
% 71.20/10.65 | (702) ~ (all_28_0 = all_4_1)
% 71.20/10.65 |
% 71.20/10.65 | REDUCE: (231), (561), (683) imply:
% 71.20/10.65 | (703) ~ (all_14_0 = all_4_1)
% 71.20/10.65 |
% 71.20/10.65 | SIMP: (703) implies:
% 71.20/10.65 | (704) ~ (all_14_0 = all_4_1)
% 71.20/10.65 |
% 71.20/10.65 | REDUCE: (230), (563), (683) imply:
% 71.20/10.65 | (705) ~ (all_40_0 = all_4_1)
% 71.20/10.65 |
% 71.20/10.65 | SIMP: (705) implies:
% 71.20/10.65 | (706) ~ (all_40_0 = all_4_1)
% 71.20/10.65 |
% 71.20/10.65 | REDUCE: (229), (565), (683) imply:
% 71.20/10.65 | (707) ~ (all_36_0 = all_4_1)
% 71.20/10.65 |
% 71.20/10.65 | SIMP: (707) implies:
% 71.20/10.65 | (708) ~ (all_36_0 = all_4_1)
% 71.20/10.65 |
% 71.20/10.65 | REDUCE: (228), (464), (485) imply:
% 71.20/10.65 | (709) ~ (all_6_0 = all_4_0)
% 71.20/10.65 |
% 71.20/10.65 | REDUCE: (227), (485), (548) imply:
% 71.20/10.65 | (710) ~ (all_28_0 = all_6_0)
% 71.20/10.65 |
% 71.20/10.65 | SIMP: (710) implies:
% 71.20/10.65 | (711) ~ (all_28_0 = all_6_0)
% 71.20/10.65 |
% 71.20/10.65 | REDUCE: (226), (485), (569) imply:
% 71.20/10.65 | (712) ~ (all_10_1 = all_6_0)
% 71.20/10.65 |
% 71.20/10.65 | SIMP: (712) implies:
% 71.20/10.65 | (713) ~ (all_10_1 = all_6_0)
% 71.20/10.65 |
% 71.20/10.65 | REDUCE: (225), (472), (485) imply:
% 71.20/10.65 | (714) ~ (all_12_0 = all_6_0)
% 71.20/10.65 |
% 71.20/10.65 | SIMP: (714) implies:
% 71.20/10.65 | (715) ~ (all_12_0 = all_6_0)
% 71.20/10.65 |
% 71.20/10.65 | REDUCE: (224), (468), (485) imply:
% 71.20/10.65 | (716) ~ (all_22_0 = all_6_0)
% 71.20/10.65 |
% 71.20/10.65 | SIMP: (716) implies:
% 71.20/10.65 | (717) ~ (all_22_0 = all_6_0)
% 71.20/10.65 |
% 71.20/10.65 | REDUCE: (223), (464), (548) imply:
% 71.20/10.65 | (718) ~ (all_28_0 = all_4_0)
% 71.20/10.65 |
% 71.20/10.65 | SIMP: (718) implies:
% 71.20/10.65 | (719) ~ (all_28_0 = all_4_0)
% 71.20/10.65 |
% 71.20/10.65 | REDUCE: (222), (464), (577) imply:
% 71.20/10.65 | (720) ~ (all_10_0 = all_4_0)
% 71.20/10.65 |
% 71.20/10.65 | SIMP: (720) implies:
% 71.20/10.65 | (721) ~ (all_10_0 = all_4_0)
% 71.20/10.65 |
% 71.20/10.65 | REDUCE: (221), (464), (682) imply:
% 71.20/10.65 | (722) ~ (all_12_1 = all_4_0)
% 71.20/10.65 |
% 71.20/10.65 | SIMP: (722) implies:
% 71.20/10.65 | (723) ~ (all_12_1 = all_4_0)
% 71.20/10.65 |
% 71.20/10.65 | REDUCE: (220), (464), (581) imply:
% 71.20/10.65 | (724) ~ (all_8_0 = all_4_0)
% 71.20/10.65 |
% 71.20/10.65 | SIMP: (724) implies:
% 71.20/10.65 | (725) ~ (all_8_0 = all_4_0)
% 71.20/10.65 |
% 71.20/10.65 | REDUCE: (219), (548), (585) imply:
% 71.20/10.65 | (726) ~ (all_28_0 = all_20_0)
% 71.20/10.65 |
% 71.20/10.65 | REDUCE: (218), (548), (587) imply:
% 71.20/10.65 | (727) ~ (all_42_0 = all_28_0)
% 71.20/10.65 |
% 71.20/10.65 | SIMP: (727) implies:
% 71.20/10.65 | (728) ~ (all_42_0 = all_28_0)
% 71.20/10.65 |
% 71.20/10.65 | REDUCE: (217), (548), (681) imply:
% 71.20/10.65 | (729) ~ (all_28_0 = all_8_1)
% 71.20/10.65 |
% 71.20/10.65 | REDUCE: (216), (561), (569) imply:
% 71.20/10.65 | (730) ~ (all_14_0 = all_10_1)
% 71.20/10.65 |
% 71.20/10.65 | REDUCE: (215), (561), (577) imply:
% 71.20/10.65 | (731) ~ (all_14_0 = all_10_0)
% 71.20/10.65 |
% 71.20/10.65 | REDUCE: (214), (561), (585) imply:
% 71.20/10.65 | (732) ~ (all_20_0 = all_14_0)
% 71.20/10.65 |
% 71.20/10.65 | SIMP: (732) implies:
% 71.20/10.65 | (733) ~ (all_20_0 = all_14_0)
% 71.20/10.65 |
% 71.20/10.65 | REDUCE: (213), (561), (563) imply:
% 71.20/10.65 | (734) ~ (all_40_0 = all_14_0)
% 71.20/10.65 |
% 71.20/10.65 | SIMP: (734) implies:
% 71.20/10.65 | (735) ~ (all_40_0 = all_14_0)
% 71.20/10.65 |
% 71.20/10.65 | REDUCE: (212), (561), (565) imply:
% 71.20/10.65 | (736) ~ (all_36_0 = all_14_0)
% 71.20/10.65 |
% 71.20/10.65 | SIMP: (736) implies:
% 71.20/10.65 | (737) ~ (all_36_0 = all_14_0)
% 71.20/10.65 |
% 71.20/10.65 | REDUCE: (211), (569), (577) imply:
% 71.20/10.65 | (738) ~ (all_10_0 = all_10_1)
% 71.20/10.65 |
% 71.20/10.65 | SIMP: (738) implies:
% 71.20/10.65 | (739) ~ (all_10_0 = all_10_1)
% 71.20/10.65 |
% 71.20/10.65 | REDUCE: (210), (472), (569) imply:
% 71.20/10.65 | (740) ~ (all_12_0 = all_10_1)
% 71.20/10.65 |
% 71.20/10.65 | SIMP: (740) implies:
% 71.20/10.65 | (741) ~ (all_12_0 = all_10_1)
% 71.20/10.65 |
% 71.20/10.65 | REDUCE: (209), (468), (569) imply:
% 71.20/10.65 | (742) ~ (all_22_0 = all_10_1)
% 71.20/10.65 |
% 71.20/10.65 | SIMP: (742) implies:
% 71.20/10.65 | (743) ~ (all_22_0 = all_10_1)
% 71.20/10.65 |
% 71.20/10.65 | REDUCE: (208), (577), (585) imply:
% 71.20/10.65 | (744) ~ (all_20_0 = all_10_0)
% 71.20/10.65 |
% 71.20/10.65 | SIMP: (744) implies:
% 71.20/10.65 | (745) ~ (all_20_0 = all_10_0)
% 71.20/10.65 |
% 71.20/10.65 | REDUCE: (207), (577), (581) imply:
% 71.20/10.65 | (746) ~ (all_10_0 = all_8_0)
% 71.20/10.65 |
% 71.20/10.65 | REDUCE: (206), (585), (587) imply:
% 71.20/10.65 | (747) ~ (all_42_0 = all_20_0)
% 71.20/10.65 |
% 71.20/10.65 | SIMP: (747) implies:
% 71.20/10.65 | (748) ~ (all_42_0 = all_20_0)
% 71.20/10.65 |
% 71.20/10.65 | REDUCE: (205), (585), (681) imply:
% 71.20/10.65 | (749) ~ (all_20_0 = all_8_1)
% 71.20/10.65 |
% 71.20/10.65 | REDUCE: (204), (472), (563) imply:
% 71.20/10.65 | (750) ~ (all_40_0 = all_12_0)
% 71.20/10.65 |
% 71.20/10.65 | REDUCE: (203), (563), (587) imply:
% 71.20/10.65 | (751) ~ (all_42_0 = all_40_0)
% 71.20/10.65 |
% 71.20/10.65 | SIMP: (751) implies:
% 71.20/10.65 | (752) ~ (all_42_0 = all_40_0)
% 71.20/10.65 |
% 71.20/10.65 | REDUCE: (202), (563), (565) imply:
% 71.20/10.65 | (753) ~ (all_40_0 = all_36_0)
% 71.20/10.65 |
% 71.20/10.65 | REDUCE: (201), (472), (682) imply:
% 71.20/10.65 | (754) ~ (all_12_0 = all_12_1)
% 71.20/10.65 |
% 71.20/10.65 | REDUCE: (200), (472), (587) imply:
% 71.20/10.65 | (755) ~ (all_42_0 = all_12_0)
% 71.20/10.65 |
% 71.20/10.65 | SIMP: (755) implies:
% 71.20/10.65 | (756) ~ (all_42_0 = all_12_0)
% 71.20/10.65 |
% 71.20/10.65 | REDUCE: (199), (468), (472) imply:
% 71.20/10.65 | (757) ~ (all_22_0 = all_12_0)
% 71.20/10.65 |
% 71.20/10.65 | SIMP: (757) implies:
% 71.20/10.65 | (758) ~ (all_22_0 = all_12_0)
% 71.20/10.65 |
% 71.20/10.65 | REDUCE: (198), (587), (681) imply:
% 71.20/10.65 | (759) ~ (all_42_0 = all_8_1)
% 71.20/10.65 |
% 71.20/10.65 | REDUCE: (197), (468), (565) imply:
% 71.20/10.65 | (760) ~ (all_36_0 = all_22_0)
% 71.20/10.65 |
% 71.20/10.65 | REDUCE: (196), (565), (581) imply:
% 71.20/10.65 | (761) ~ (all_36_0 = all_8_0)
% 71.20/10.65 |
% 71.20/10.65 | REDUCE: (195), (468), (581) imply:
% 71.20/10.65 | (762) ~ (all_22_0 = all_8_0)
% 71.20/10.65 |
% 71.20/10.65 | REDUCE: (194), (468), (681) imply:
% 71.20/10.65 | (763) ~ (all_22_0 = all_8_1)
% 71.20/10.65 |
% 71.20/10.65 | REDUCE: (193), (581), (681) imply:
% 71.20/10.65 | (764) ~ (all_8_0 = all_8_1)
% 71.20/10.65 |
% 71.20/10.65 | REDUCE: (153), (628), (629) imply:
% 71.20/10.65 | (765) ~ (all_52_0 = all_52_1)
% 71.20/10.65 |
% 71.20/10.65 | REDUCE: (152), (628), (630) imply:
% 71.20/10.65 | (766) ~ (all_52_0 = all_52_2)
% 71.20/10.65 |
% 71.20/10.65 | REDUCE: (151), (628), (632) imply:
% 71.20/10.65 | (767) ~ (all_52_0 = all_52_3)
% 71.20/10.65 |
% 71.20/10.65 | REDUCE: (150), (629), (630) imply:
% 71.20/10.65 | (768) ~ (all_52_1 = all_52_2)
% 71.20/10.65 |
% 71.20/10.65 | REDUCE: (149), (629), (632) imply:
% 71.20/10.65 | (769) ~ (all_52_1 = all_52_3)
% 71.20/10.65 |
% 71.20/10.65 | REDUCE: (148), (630), (632) imply:
% 71.20/10.65 | (770) ~ (all_52_2 = all_52_3)
% 71.20/10.65 |
% 71.20/10.65 | REDUCE: (425), (509) imply:
% 71.20/10.65 | (771) op(all_4_1, e3) = all_66_0
% 71.20/10.65 |
% 71.20/10.65 | REDUCE: (424), (509) imply:
% 71.20/10.65 | (772) op(all_4_1, e2) = all_66_1
% 71.20/10.65 |
% 71.20/10.65 | REDUCE: (423), (509) imply:
% 71.20/10.65 | (773) op(all_4_1, e1) = all_66_2
% 71.20/10.65 |
% 71.20/10.65 | REDUCE: (422), (509) imply:
% 71.20/10.65 | (774) op(all_4_1, e0) = all_66_3
% 71.20/10.65 |
% 71.20/10.65 | REDUCE: (421), (500) imply:
% 71.20/10.65 | (775) op(all_14_0, e3) = all_66_4
% 71.20/10.65 |
% 71.20/10.65 | REDUCE: (420), (500) imply:
% 71.20/10.65 | (776) op(all_14_0, e2) = all_66_5
% 71.20/10.65 |
% 71.20/10.65 | REDUCE: (419), (500) imply:
% 71.20/10.65 | (777) op(all_14_0, e1) = all_66_6
% 71.20/10.65 |
% 71.20/10.65 | REDUCE: (418), (500) imply:
% 71.20/10.65 | (778) op(all_14_0, e0) = all_66_7
% 71.20/10.65 |
% 71.20/10.65 | REDUCE: (417), (696) imply:
% 71.20/10.65 | (779) op(all_40_0, e3) = all_66_8
% 71.20/10.65 |
% 71.20/10.65 | REDUCE: (416), (696) imply:
% 71.20/10.65 | (780) op(all_40_0, e2) = all_66_9
% 71.20/10.65 |
% 71.20/10.65 | REDUCE: (415), (696) imply:
% 71.20/10.65 | (781) op(all_40_0, e1) = all_66_10
% 71.20/10.65 |
% 71.20/10.65 | REDUCE: (414), (696) imply:
% 71.20/10.65 | (782) op(all_40_0, e0) = all_66_11
% 71.20/10.65 |
% 71.20/10.65 | REDUCE: (413), (492) imply:
% 71.20/10.65 | (783) op(all_36_0, e3) = all_66_12
% 71.20/10.65 |
% 71.20/10.65 | REDUCE: (412), (492) imply:
% 71.20/10.65 | (784) op(all_36_0, e2) = all_66_13
% 71.20/10.65 |
% 71.20/10.65 | REDUCE: (411), (492) imply:
% 71.20/10.65 | (785) op(all_36_0, e1) = all_66_14
% 71.20/10.65 |
% 71.20/10.65 | REDUCE: (410), (492) imply:
% 71.20/10.65 | (786) op(all_36_0, e0) = all_66_15
% 71.20/10.65 |
% 71.20/10.65 | REDUCE: (409), (695) imply:
% 71.20/10.65 | (787) op(all_6_0, e3) = all_66_16
% 71.20/10.65 |
% 71.20/10.65 | REDUCE: (408), (695) imply:
% 71.20/10.65 | (788) op(all_6_0, e2) = all_66_17
% 71.20/10.65 |
% 71.20/10.65 | REDUCE: (407), (695) imply:
% 71.20/10.65 | (789) op(all_6_0, e1) = all_66_18
% 71.20/10.65 |
% 71.20/10.65 | REDUCE: (406), (695) imply:
% 71.20/10.66 | (790) op(all_6_0, e0) = all_66_19
% 71.20/10.66 |
% 71.20/10.66 | REDUCE: (405), (694) imply:
% 71.20/10.66 | (791) op(all_10_1, e3) = all_66_20
% 71.20/10.66 |
% 71.20/10.66 | REDUCE: (404), (694) imply:
% 71.20/10.66 | (792) op(all_10_1, e2) = all_66_21
% 71.20/10.66 |
% 71.20/10.66 | REDUCE: (403), (694) imply:
% 71.20/10.66 | (793) op(all_10_1, e1) = all_66_22
% 71.20/10.66 |
% 71.20/10.66 | REDUCE: (402), (694) imply:
% 71.20/10.66 | (794) op(all_10_1, e0) = all_66_23
% 71.20/10.66 |
% 71.20/10.66 | REDUCE: (401), (693) imply:
% 71.20/10.66 | (795) op(all_12_0, e3) = all_66_24
% 71.20/10.66 |
% 71.20/10.66 | REDUCE: (400), (693) imply:
% 71.20/10.66 | (796) op(all_12_0, e2) = all_66_25
% 71.20/10.66 |
% 71.20/10.66 | REDUCE: (399), (693) imply:
% 71.20/10.66 | (797) op(all_12_0, e1) = all_66_26
% 71.20/10.66 |
% 71.20/10.66 | REDUCE: (398), (693) imply:
% 71.20/10.66 | (798) op(all_12_0, e0) = all_66_27
% 71.20/10.66 |
% 71.20/10.66 | REDUCE: (397), (692) imply:
% 71.20/10.66 | (799) op(all_22_0, e3) = all_66_28
% 71.20/10.66 |
% 71.20/10.66 | REDUCE: (396), (692) imply:
% 71.20/10.66 | (800) op(all_22_0, e2) = all_66_29
% 71.20/10.66 |
% 71.20/10.66 | REDUCE: (395), (692) imply:
% 71.20/10.66 | (801) op(all_22_0, e1) = all_66_30
% 71.20/10.66 |
% 71.20/10.66 | REDUCE: (394), (692) imply:
% 71.20/10.66 | (802) op(all_22_0, e0) = all_66_31
% 71.20/10.66 |
% 71.20/10.66 | REDUCE: (393), (691) imply:
% 71.20/10.66 | (803) op(all_4_0, e3) = all_66_32
% 71.20/10.66 |
% 71.20/10.66 | REDUCE: (392), (691) imply:
% 71.20/10.66 | (804) op(all_4_0, e2) = all_66_33
% 71.20/10.66 |
% 71.20/10.66 | REDUCE: (391), (691) imply:
% 71.20/10.66 | (805) op(all_4_0, e1) = all_66_34
% 71.20/10.66 |
% 71.20/10.66 | REDUCE: (390), (691) imply:
% 71.20/10.66 | (806) op(all_4_0, e0) = all_66_35
% 71.20/10.66 |
% 71.20/10.66 | REDUCE: (389), (463) imply:
% 71.20/10.66 | (807) op(all_10_0, e3) = all_66_36
% 71.20/10.66 |
% 71.20/10.66 | REDUCE: (388), (463) imply:
% 71.20/10.66 | (808) op(all_10_0, e2) = all_66_37
% 71.20/10.66 |
% 71.20/10.66 | REDUCE: (387), (463) imply:
% 71.20/10.66 | (809) op(all_10_0, e1) = all_66_38
% 71.20/10.66 |
% 71.20/10.66 | REDUCE: (386), (463) imply:
% 71.20/10.66 | (810) op(all_10_0, e0) = all_66_39
% 71.20/10.66 |
% 71.20/10.66 | REDUCE: (385), (690) imply:
% 71.20/10.66 | (811) op(all_12_1, e3) = all_66_40
% 71.20/10.66 |
% 71.20/10.66 | REDUCE: (384), (690) imply:
% 71.20/10.66 | (812) op(all_12_1, e2) = all_66_41
% 71.20/10.66 |
% 71.20/10.66 | REDUCE: (383), (690) imply:
% 71.20/10.66 | (813) op(all_12_1, e1) = all_66_42
% 71.20/10.66 |
% 71.20/10.66 | REDUCE: (382), (690) imply:
% 71.20/10.66 | (814) op(all_12_1, e0) = all_66_43
% 71.20/10.66 |
% 71.20/10.66 | REDUCE: (381), (450) imply:
% 71.20/10.66 | (815) op(all_8_0, e3) = all_66_44
% 71.20/10.66 |
% 71.20/10.66 | REDUCE: (380), (450) imply:
% 71.20/10.66 | (816) op(all_8_0, e2) = all_66_45
% 71.20/10.66 |
% 71.20/10.66 | REDUCE: (379), (450) imply:
% 71.20/10.66 | (817) op(all_8_0, e1) = all_66_46
% 71.20/10.66 |
% 71.20/10.66 | REDUCE: (378), (450) imply:
% 71.20/10.66 | (818) op(all_8_0, e0) = all_66_47
% 71.20/10.66 |
% 71.20/10.66 | REDUCE: (377), (446) imply:
% 71.20/10.66 | (819) op(all_28_0, e3) = all_66_49
% 71.20/10.66 |
% 71.20/10.66 | REDUCE: (376), (446) imply:
% 71.20/10.66 | (820) op(all_28_0, e2) = all_66_51
% 71.20/10.66 |
% 71.20/10.66 | REDUCE: (375), (446) imply:
% 71.20/10.66 | (821) op(all_28_0, e1) = all_66_53
% 71.20/10.66 |
% 71.20/10.66 | REDUCE: (374), (446) imply:
% 71.20/10.66 | (822) op(all_28_0, e0) = all_66_55
% 71.20/10.66 |
% 71.20/10.66 | REDUCE: (373), (442) imply:
% 71.20/10.66 | (823) op(all_20_0, e3) = all_66_57
% 71.20/10.66 |
% 71.20/10.66 | REDUCE: (372), (442) imply:
% 71.20/10.66 | (824) op(all_20_0, e2) = all_66_59
% 71.20/10.66 |
% 71.20/10.66 | REDUCE: (371), (442) imply:
% 71.20/10.66 | (825) op(all_20_0, e1) = all_66_61
% 71.20/10.66 |
% 71.20/10.66 | REDUCE: (370), (442) imply:
% 71.20/10.66 | (826) op(all_20_0, e0) = all_66_63
% 71.20/10.66 |
% 71.20/10.66 | REDUCE: (369), (438) imply:
% 71.20/10.66 | (827) op(all_42_0, e3) = all_66_65
% 71.20/10.66 |
% 71.20/10.66 | REDUCE: (368), (438) imply:
% 71.20/10.66 | (828) op(all_42_0, e2) = all_66_67
% 71.20/10.66 |
% 71.20/10.66 | REDUCE: (367), (438) imply:
% 71.20/10.66 | (829) op(all_42_0, e1) = all_66_69
% 71.20/10.66 |
% 71.20/10.66 | REDUCE: (366), (438) imply:
% 71.20/10.66 | (830) op(all_42_0, e0) = all_66_71
% 71.20/10.66 |
% 71.20/10.66 | REDUCE: (365), (434) imply:
% 71.20/10.66 | (831) op(all_8_1, e3) = all_66_73
% 71.20/10.66 |
% 71.20/10.66 | REDUCE: (364), (434) imply:
% 71.20/10.66 | (832) op(all_8_1, e2) = all_66_75
% 71.20/10.66 |
% 71.20/10.66 | REDUCE: (363), (434) imply:
% 71.20/10.66 | (833) op(all_8_1, e1) = all_66_77
% 71.20/10.66 |
% 71.20/10.66 | REDUCE: (362), (434) imply:
% 71.20/10.66 | (834) op(all_8_1, e0) = all_66_78
% 71.20/10.66 |
% 71.20/10.66 | REDUCE: (361), (509) imply:
% 71.20/10.66 | (835) op(e3, all_4_1) = all_66_0
% 71.20/10.66 |
% 71.20/10.66 | REDUCE: (360), (500) imply:
% 71.20/10.66 | (836) op(e3, all_14_0) = all_66_1
% 71.20/10.66 |
% 71.20/10.66 | REDUCE: (359), (696) imply:
% 71.20/10.66 | (837) op(e3, all_40_0) = all_66_2
% 71.20/10.66 |
% 71.20/10.66 | REDUCE: (358), (492) imply:
% 71.20/10.66 | (838) op(e3, all_36_0) = all_66_3
% 71.20/10.66 |
% 71.20/10.66 | REDUCE: (357), (695) imply:
% 71.20/10.66 | (839) op(e3, all_6_0) = all_66_4
% 71.20/10.66 |
% 71.20/10.66 | REDUCE: (356), (694) imply:
% 71.20/10.66 | (840) op(e3, all_10_1) = all_66_5
% 71.20/10.66 |
% 71.20/10.66 | REDUCE: (355), (693) imply:
% 71.20/10.66 | (841) op(e3, all_12_0) = all_66_6
% 71.20/10.66 |
% 71.20/10.66 | REDUCE: (354), (692) imply:
% 71.20/10.66 | (842) op(e3, all_22_0) = all_66_7
% 71.20/10.66 |
% 71.20/10.66 | REDUCE: (353), (691) imply:
% 71.20/10.66 | (843) op(e3, all_4_0) = all_66_8
% 71.20/10.66 |
% 71.20/10.66 | REDUCE: (352), (463) imply:
% 71.20/10.66 | (844) op(e3, all_10_0) = all_66_9
% 71.20/10.66 |
% 71.20/10.66 | REDUCE: (351), (690) imply:
% 71.20/10.66 | (845) op(e3, all_12_1) = all_66_10
% 71.20/10.66 |
% 71.20/10.66 | REDUCE: (350), (450) imply:
% 71.20/10.66 | (846) op(e3, all_8_0) = all_66_11
% 71.20/10.66 |
% 71.20/10.66 | REDUCE: (349), (446) imply:
% 71.20/10.66 | (847) op(e3, all_28_0) = all_66_12
% 71.20/10.66 |
% 71.20/10.66 | REDUCE: (348), (442) imply:
% 71.20/10.66 | (848) op(e3, all_20_0) = all_66_13
% 71.20/10.66 |
% 71.20/10.66 | REDUCE: (347), (438) imply:
% 71.20/10.66 | (849) op(e3, all_42_0) = all_66_14
% 71.20/10.66 |
% 71.20/10.66 | REDUCE: (346), (434) imply:
% 71.20/10.66 | (850) op(e3, all_8_1) = all_66_15
% 71.20/10.66 |
% 71.20/10.66 | REDUCE: (183), (521) imply:
% 71.20/10.66 | (851) op(e3, all_52_0) = unit
% 71.20/10.66 |
% 71.20/10.66 | REDUCE: (341), (509) imply:
% 71.20/10.66 | (852) op(e2, all_4_1) = all_66_16
% 71.20/10.66 |
% 71.20/10.66 | REDUCE: (340), (500) imply:
% 71.20/10.66 | (853) op(e2, all_14_0) = all_66_17
% 71.20/10.66 |
% 71.20/10.66 | REDUCE: (339), (696) imply:
% 71.20/10.66 | (854) op(e2, all_40_0) = all_66_18
% 71.20/10.66 |
% 71.20/10.66 | REDUCE: (338), (492) imply:
% 71.20/10.66 | (855) op(e2, all_36_0) = all_66_19
% 71.20/10.66 |
% 71.20/10.66 | REDUCE: (337), (695) imply:
% 71.20/10.66 | (856) op(e2, all_6_0) = all_66_20
% 71.20/10.66 |
% 71.20/10.66 | REDUCE: (336), (694) imply:
% 71.20/10.66 | (857) op(e2, all_10_1) = all_66_21
% 71.20/10.66 |
% 71.20/10.66 | REDUCE: (335), (693) imply:
% 71.20/10.66 | (858) op(e2, all_12_0) = all_66_22
% 71.20/10.66 |
% 71.20/10.66 | REDUCE: (334), (692) imply:
% 71.20/10.66 | (859) op(e2, all_22_0) = all_66_23
% 71.20/10.66 |
% 71.20/10.66 | REDUCE: (333), (691) imply:
% 71.20/10.66 | (860) op(e2, all_4_0) = all_66_24
% 71.20/10.66 |
% 71.20/10.66 | REDUCE: (332), (463) imply:
% 71.20/10.66 | (861) op(e2, all_10_0) = all_66_25
% 71.20/10.66 |
% 71.20/10.66 | REDUCE: (331), (690) imply:
% 71.20/10.66 | (862) op(e2, all_12_1) = all_66_26
% 71.20/10.66 |
% 71.20/10.66 | REDUCE: (330), (450) imply:
% 71.20/10.66 | (863) op(e2, all_8_0) = all_66_27
% 71.20/10.66 |
% 71.20/10.66 | REDUCE: (329), (446) imply:
% 71.20/10.66 | (864) op(e2, all_28_0) = all_66_28
% 71.20/10.66 |
% 71.20/10.66 | REDUCE: (328), (442) imply:
% 71.20/10.66 | (865) op(e2, all_20_0) = all_66_29
% 71.20/10.66 |
% 71.20/10.66 | REDUCE: (327), (438) imply:
% 71.20/10.66 | (866) op(e2, all_42_0) = all_66_30
% 71.20/10.66 |
% 71.20/10.66 | REDUCE: (326), (434) imply:
% 71.20/10.66 | (867) op(e2, all_8_1) = all_66_31
% 71.20/10.66 |
% 71.20/10.66 | REDUCE: (182), (518) imply:
% 71.20/10.66 | (868) op(e2, all_52_1) = unit
% 71.20/10.66 |
% 71.20/10.66 | REDUCE: (321), (509) imply:
% 71.20/10.66 | (869) op(e1, all_4_1) = all_66_32
% 71.20/10.66 |
% 71.20/10.66 | REDUCE: (320), (500) imply:
% 71.20/10.66 | (870) op(e1, all_14_0) = all_66_33
% 71.20/10.66 |
% 71.20/10.66 | REDUCE: (319), (696) imply:
% 71.20/10.66 | (871) op(e1, all_40_0) = all_66_34
% 71.20/10.66 |
% 71.20/10.66 | REDUCE: (318), (492) imply:
% 71.20/10.66 | (872) op(e1, all_36_0) = all_66_35
% 71.20/10.66 |
% 71.20/10.66 | REDUCE: (317), (695) imply:
% 71.20/10.66 | (873) op(e1, all_6_0) = all_66_36
% 71.20/10.66 |
% 71.20/10.66 | REDUCE: (316), (694) imply:
% 71.20/10.66 | (874) op(e1, all_10_1) = all_66_37
% 71.20/10.66 |
% 71.20/10.66 | REDUCE: (315), (693) imply:
% 71.20/10.66 | (875) op(e1, all_12_0) = all_66_38
% 71.20/10.66 |
% 71.20/10.66 | REDUCE: (314), (692) imply:
% 71.20/10.66 | (876) op(e1, all_22_0) = all_66_39
% 71.20/10.66 |
% 71.20/10.66 | REDUCE: (313), (691) imply:
% 71.20/10.66 | (877) op(e1, all_4_0) = all_66_40
% 71.20/10.66 |
% 71.20/10.67 | REDUCE: (312), (463) imply:
% 71.20/10.67 | (878) op(e1, all_10_0) = all_66_41
% 71.20/10.67 |
% 71.20/10.67 | REDUCE: (311), (690) imply:
% 71.20/10.67 | (879) op(e1, all_12_1) = all_66_42
% 71.20/10.67 |
% 71.20/10.67 | REDUCE: (310), (450) imply:
% 71.20/10.67 | (880) op(e1, all_8_0) = all_66_43
% 71.20/10.67 |
% 71.20/10.67 | REDUCE: (309), (446) imply:
% 71.20/10.67 | (881) op(e1, all_28_0) = all_66_44
% 71.20/10.67 |
% 71.20/10.67 | REDUCE: (308), (442) imply:
% 71.20/10.67 | (882) op(e1, all_20_0) = all_66_45
% 71.20/10.67 |
% 71.20/10.67 | REDUCE: (307), (438) imply:
% 71.20/10.67 | (883) op(e1, all_42_0) = all_66_46
% 71.20/10.67 |
% 71.20/10.67 | REDUCE: (306), (434) imply:
% 71.20/10.67 | (884) op(e1, all_8_1) = all_66_47
% 71.20/10.67 |
% 71.20/10.67 | REDUCE: (181), (515) imply:
% 71.20/10.67 | (885) op(e1, all_52_2) = unit
% 71.20/10.67 |
% 71.20/10.67 | REDUCE: (301), (509) imply:
% 71.20/10.67 | (886) op(e0, all_4_1) = all_66_49
% 71.20/10.67 |
% 71.20/10.67 | REDUCE: (300), (500) imply:
% 71.20/10.67 | (887) op(e0, all_14_0) = all_66_51
% 71.20/10.67 |
% 71.20/10.67 | REDUCE: (299), (696) imply:
% 71.20/10.67 | (888) op(e0, all_40_0) = all_66_53
% 71.20/10.67 |
% 71.20/10.67 | REDUCE: (298), (492) imply:
% 71.20/10.67 | (889) op(e0, all_36_0) = all_66_55
% 71.20/10.67 |
% 71.20/10.67 | REDUCE: (297), (695) imply:
% 71.20/10.67 | (890) op(e0, all_6_0) = all_66_57
% 71.20/10.67 |
% 71.20/10.67 | REDUCE: (296), (694) imply:
% 71.20/10.67 | (891) op(e0, all_10_1) = all_66_59
% 71.20/10.67 |
% 71.20/10.67 | REDUCE: (295), (693) imply:
% 71.20/10.67 | (892) op(e0, all_12_0) = all_66_61
% 71.20/10.67 |
% 71.20/10.67 | REDUCE: (294), (692) imply:
% 71.20/10.67 | (893) op(e0, all_22_0) = all_66_63
% 71.20/10.67 |
% 71.20/10.67 | REDUCE: (293), (691) imply:
% 71.20/10.67 | (894) op(e0, all_4_0) = all_66_65
% 71.20/10.67 |
% 71.20/10.67 | REDUCE: (292), (463) imply:
% 71.20/10.67 | (895) op(e0, all_10_0) = all_66_67
% 71.20/10.67 |
% 71.20/10.67 | REDUCE: (291), (690) imply:
% 71.20/10.67 | (896) op(e0, all_12_1) = all_66_69
% 71.20/10.67 |
% 71.20/10.67 | REDUCE: (290), (450) imply:
% 71.20/10.67 | (897) op(e0, all_8_0) = all_66_71
% 71.20/10.67 |
% 71.20/10.67 | REDUCE: (289), (446) imply:
% 71.20/10.67 | (898) op(e0, all_28_0) = all_66_73
% 71.20/10.67 |
% 71.20/10.67 | REDUCE: (288), (442) imply:
% 71.20/10.67 | (899) op(e0, all_20_0) = all_66_75
% 71.20/10.67 |
% 71.20/10.67 | REDUCE: (287), (438) imply:
% 71.20/10.67 | (900) op(e0, all_42_0) = all_66_77
% 71.20/10.67 |
% 71.20/10.67 | REDUCE: (286), (434) imply:
% 71.20/10.67 | (901) op(e0, all_8_1) = all_66_78
% 71.20/10.67 |
% 71.20/10.67 | REDUCE: (180), (512) imply:
% 71.20/10.67 | (902) op(e0, all_52_3) = unit
% 71.20/10.67 |
% 71.20/10.67 | BETA: splitting (49) gives:
% 71.20/10.67 |
% 71.20/10.67 | Case 1:
% 71.20/10.67 | |
% 71.20/10.67 | | (903) ~ (all_4_0 = e2)
% 71.20/10.67 | |
% 71.20/10.67 | | BETA: splitting (53) gives:
% 71.20/10.67 | |
% 71.20/10.67 | | Case 1:
% 71.20/10.67 | | |
% 71.20/10.67 | | | (904) ~ (all_6_0 = e1)
% 71.20/10.67 | | |
% 71.20/10.67 | | | BETA: splitting (57) gives:
% 71.20/10.67 | | |
% 71.20/10.67 | | | Case 1:
% 71.20/10.67 | | | |
% 71.20/10.67 | | | | (905) ~ (all_8_0 = e3)
% 71.20/10.67 | | | |
% 71.20/10.67 | | | | BETA: splitting (8) gives:
% 71.20/10.67 | | | |
% 71.20/10.67 | | | | Case 1:
% 71.20/10.67 | | | | |
% 71.20/10.67 | | | | | (906) unit = e3
% 71.20/10.67 | | | | |
% 71.20/10.67 | | | | | REDUCE: (7), (906) imply:
% 71.20/10.67 | | | | | (907) op(e3, e2) = e2
% 71.20/10.67 | | | | |
% 71.20/10.67 | | | | | REDUCE: (6), (906) imply:
% 71.20/10.67 | | | | | (908) op(e3, e3) = e3
% 71.20/10.67 | | | | |
% 71.20/10.67 | | | | | REDUCE: (5), (906) imply:
% 71.20/10.67 | | | | | (909) op(e2, e3) = e2
% 71.20/10.67 | | | | |
% 71.20/10.67 | | | | | REDUCE: (4), (906) imply:
% 71.20/10.67 | | | | | (910) op(e1, e3) = e1
% 71.20/10.67 | | | | |
% 71.20/10.67 | | | | | REDUCE: (3), (906) imply:
% 71.20/10.67 | | | | | (911) op(e0, e3) = e0
% 71.20/10.67 | | | | |
% 71.20/10.67 | | | | | GROUND_INST: instantiating (45) with all_28_0, e0, e3, e0, simplifying
% 71.20/10.67 | | | | | with (95), (911) gives:
% 71.20/10.67 | | | | | (912) all_28_0 = e0
% 71.20/10.67 | | | | |
% 71.20/10.67 | | | | | GROUND_INST: instantiating (45) with all_4_0, e1, e3, e1, simplifying
% 71.20/10.67 | | | | | with (47), (910) gives:
% 71.20/10.67 | | | | | (913) all_4_0 = e1
% 71.20/10.67 | | | | |
% 71.20/10.67 | | | | | GROUND_INST: instantiating (45) with all_6_0, e2, e3, e2, simplifying
% 71.20/10.67 | | | | | with (51), (909) gives:
% 71.20/10.67 | | | | | (914) all_6_0 = e2
% 71.20/10.67 | | | | |
% 71.20/10.67 | | | | | GROUND_INST: instantiating (45) with all_14_0, e2, e2, e3, simplifying
% 71.20/10.67 | | | | | with (68), (907) gives:
% 71.20/10.67 | | | | | (915) all_14_0 = e2
% 71.20/10.67 | | | | |
% 71.20/10.67 | | | | | GROUND_INST: instantiating (45) with all_4_1, e3, e3, e3, simplifying
% 71.20/10.67 | | | | | with (48), (908) gives:
% 71.20/10.67 | | | | | (916) all_4_1 = e3
% 71.20/10.67 | | | | |
% 71.20/10.67 | | | | | COMBINE_EQS: (559), (916) imply:
% 71.20/10.67 | | | | | (917) all_56_0 = e3
% 71.20/10.67 | | | | |
% 71.20/10.67 | | | | | REDUCE: (702), (912), (916) imply:
% 71.20/10.67 | | | | | (918) ~ (e3 = e0)
% 71.20/10.67 | | | | |
% 71.20/10.67 | | | | | REDUCE: (731), (915) imply:
% 71.20/10.67 | | | | | (919) ~ (all_10_0 = e2)
% 71.20/10.67 | | | | |
% 71.20/10.67 | | | | | SIMP: (919) implies:
% 71.20/10.67 | | | | | (920) ~ (all_10_0 = e2)
% 71.20/10.67 | | | | |
% 71.20/10.67 | | | | | REDUCE: (721), (913) imply:
% 71.20/10.67 | | | | | (921) ~ (all_10_0 = e1)
% 71.20/10.67 | | | | |
% 71.20/10.67 | | | | | REDUCE: (698), (914), (916) imply:
% 71.20/10.67 | | | | | (922) ~ (e3 = e2)
% 71.20/10.67 | | | | |
% 71.20/10.67 | | | | | REDUCE: (700), (913), (916) imply:
% 71.20/10.67 | | | | | (923) ~ (e3 = e1)
% 71.20/10.67 | | | | |
% 71.20/10.67 | | | | | BETA: splitting (163) gives:
% 71.20/10.67 | | | | |
% 71.20/10.67 | | | | | Case 1:
% 71.20/10.67 | | | | | |
% 71.20/10.67 | | | | | | (924) (all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 & all_56_3 =
% 71.20/10.67 | | | | | | e3) | (all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 &
% 71.20/10.67 | | | | | | all_56_3 = e2)
% 71.20/10.67 | | | | | |
% 71.20/10.67 | | | | | | BETA: splitting (924) gives:
% 71.20/10.67 | | | | | |
% 71.20/10.67 | | | | | | Case 1:
% 71.20/10.67 | | | | | | |
% 71.20/10.67 | | | | | | | (925) all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 & all_56_3
% 71.20/10.67 | | | | | | | = e3
% 71.20/10.67 | | | | | | |
% 71.20/10.67 | | | | | | | ALPHA: (925) implies:
% 71.20/10.67 | | | | | | | (926) all_56_1 = e3
% 71.20/10.67 | | | | | | |
% 71.20/10.67 | | | | | | | COMBINE_EQS: (600), (926) imply:
% 71.20/10.67 | | | | | | | (927) all_10_1 = e3
% 71.20/10.67 | | | | | | |
% 71.20/10.67 | | | | | | | SIMP: (927) implies:
% 71.20/10.67 | | | | | | | (928) all_10_1 = e3
% 71.20/10.67 | | | | | | |
% 71.20/10.67 | | | | | | | COMBINE_EQS: (669), (928) imply:
% 71.20/10.67 | | | | | | | (929) all_18_1 = e3
% 71.20/10.67 | | | | | | |
% 71.20/10.67 | | | | | | | REDUCE: (739), (928) imply:
% 71.20/10.67 | | | | | | | (930) ~ (all_10_0 = e3)
% 71.20/10.67 | | | | | | |
% 71.20/10.67 | | | | | | | BETA: splitting (77) gives:
% 71.20/10.67 | | | | | | |
% 71.20/10.67 | | | | | | | Case 1:
% 71.20/10.67 | | | | | | | |
% 71.20/10.67 | | | | | | | | (931) ~ (all_18_0 = e0)
% 71.20/10.67 | | | | | | | |
% 71.20/10.67 | | | | | | | | REDUCE: (602), (931) imply:
% 71.20/10.67 | | | | | | | | (932) ~ (all_10_0 = e0)
% 71.20/10.67 | | | | | | | |
% 71.20/10.67 | | | | | | | | REF_CLOSE: (272), (542), (920), (921), (930), (932) are
% 71.20/10.67 | | | | | | | | inconsistent by sub-proof #105.
% 71.20/10.67 | | | | | | | |
% 71.20/10.67 | | | | | | | Case 2:
% 71.20/10.67 | | | | | | | |
% 71.20/10.67 | | | | | | | | (933) ~ (all_18_1 = e3)
% 71.20/10.67 | | | | | | | |
% 71.20/10.67 | | | | | | | | REDUCE: (929), (933) imply:
% 71.20/10.67 | | | | | | | | (934) $false
% 71.20/10.67 | | | | | | | |
% 71.20/10.67 | | | | | | | | CLOSE: (934) is inconsistent.
% 71.20/10.67 | | | | | | | |
% 71.20/10.68 | | | | | | | End of split
% 71.20/10.68 | | | | | | |
% 71.20/10.68 | | | | | | Case 2:
% 71.20/10.68 | | | | | | |
% 71.20/10.68 | | | | | | | (935) all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 & all_56_3
% 71.20/10.68 | | | | | | | = e2
% 71.20/10.68 | | | | | | |
% 71.20/10.68 | | | | | | | ALPHA: (935) implies:
% 71.20/10.68 | | | | | | | (936) all_56_0 = e2
% 71.20/10.68 | | | | | | |
% 71.20/10.68 | | | | | | | COMBINE_EQS: (917), (936) imply:
% 71.20/10.68 | | | | | | | (937) e3 = e2
% 71.20/10.68 | | | | | | |
% 71.20/10.68 | | | | | | | SIMP: (937) implies:
% 71.20/10.68 | | | | | | | (938) e3 = e2
% 71.20/10.68 | | | | | | |
% 71.20/10.68 | | | | | | | REDUCE: (18), (938) imply:
% 71.20/10.68 | | | | | | | (939) $false
% 71.20/10.68 | | | | | | |
% 71.20/10.68 | | | | | | | CLOSE: (939) is inconsistent.
% 71.20/10.68 | | | | | | |
% 71.20/10.68 | | | | | | End of split
% 71.20/10.68 | | | | | |
% 71.20/10.68 | | | | | Case 2:
% 71.20/10.68 | | | | | |
% 71.20/10.68 | | | | | | (940) (all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 & all_56_3 =
% 71.20/10.68 | | | | | | e1) | (all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 &
% 71.20/10.68 | | | | | | all_56_3 = e0)
% 71.20/10.68 | | | | | |
% 71.20/10.68 | | | | | | BETA: splitting (940) gives:
% 71.20/10.68 | | | | | |
% 71.20/10.68 | | | | | | Case 1:
% 71.20/10.68 | | | | | | |
% 71.20/10.68 | | | | | | | (941) all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 & all_56_3
% 71.20/10.68 | | | | | | | = e1
% 71.20/10.68 | | | | | | |
% 71.20/10.68 | | | | | | | ALPHA: (941) implies:
% 71.20/10.68 | | | | | | | (942) all_56_0 = e1
% 71.20/10.68 | | | | | | |
% 71.20/10.68 | | | | | | | COMBINE_EQS: (917), (942) imply:
% 71.20/10.68 | | | | | | | (943) e3 = e1
% 71.20/10.68 | | | | | | |
% 71.20/10.68 | | | | | | | SIMP: (943) implies:
% 71.20/10.68 | | | | | | | (944) e3 = e1
% 71.20/10.68 | | | | | | |
% 71.20/10.68 | | | | | | | REDUCE: (17), (944) imply:
% 71.20/10.68 | | | | | | | (945) $false
% 71.20/10.68 | | | | | | |
% 71.20/10.68 | | | | | | | CLOSE: (945) is inconsistent.
% 71.20/10.68 | | | | | | |
% 71.20/10.68 | | | | | | Case 2:
% 71.20/10.68 | | | | | | |
% 71.20/10.68 | | | | | | | (946) all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 & all_56_3
% 71.20/10.68 | | | | | | | = e0
% 71.20/10.68 | | | | | | |
% 71.20/10.68 | | | | | | | ALPHA: (946) implies:
% 71.20/10.68 | | | | | | | (947) all_56_0 = e0
% 71.20/10.68 | | | | | | |
% 71.20/10.68 | | | | | | | COMBINE_EQS: (917), (947) imply:
% 71.20/10.68 | | | | | | | (948) e3 = e0
% 71.20/10.68 | | | | | | |
% 71.20/10.68 | | | | | | | SIMP: (948) implies:
% 71.20/10.68 | | | | | | | (949) e3 = e0
% 71.20/10.68 | | | | | | |
% 71.20/10.68 | | | | | | | REDUCE: (16), (949) imply:
% 71.20/10.68 | | | | | | | (950) $false
% 71.20/10.68 | | | | | | |
% 71.20/10.68 | | | | | | | CLOSE: (950) is inconsistent.
% 71.20/10.68 | | | | | | |
% 71.20/10.68 | | | | | | End of split
% 71.20/10.68 | | | | | |
% 71.20/10.68 | | | | | End of split
% 71.20/10.68 | | | | |
% 71.20/10.68 | | | | Case 2:
% 71.20/10.68 | | | | |
% 71.20/10.68 | | | | | (951) ~ (unit = e3)
% 71.20/10.68 | | | | | (952) unit = e2 | unit = e1 | unit = e0
% 71.20/10.68 | | | | |
% 71.20/10.68 | | | | | BETA: splitting (61) gives:
% 71.20/10.68 | | | | |
% 71.20/10.68 | | | | | Case 1:
% 71.20/10.68 | | | | | |
% 71.20/10.68 | | | | | | (953) ~ (all_10_0 = e3)
% 71.20/10.68 | | | | | |
% 71.20/10.68 | | | | | | BETA: splitting (65) gives:
% 71.20/10.68 | | | | | |
% 71.20/10.68 | | | | | | Case 1:
% 71.20/10.68 | | | | | | |
% 71.20/10.68 | | | | | | | (954) ~ (all_12_0 = e3)
% 71.20/10.68 | | | | | | |
% 71.20/10.68 | | | | | | | BETA: splitting (69) gives:
% 71.20/10.68 | | | | | | |
% 71.20/10.68 | | | | | | | Case 1:
% 71.20/10.68 | | | | | | | |
% 71.20/10.68 | | | | | | | | (955) ~ (all_14_0 = e0)
% 71.20/10.68 | | | | | | | |
% 71.20/10.68 | | | | | | | | BETA: splitting (73) gives:
% 71.20/10.68 | | | | | | | |
% 71.20/10.68 | | | | | | | | Case 1:
% 71.20/10.68 | | | | | | | | |
% 71.20/10.68 | | | | | | | | | (956) ~ (all_16_0 = e0)
% 71.20/10.68 | | | | | | | | |
% 71.20/10.68 | | | | | | | | | REDUCE: (607), (956) imply:
% 71.20/10.68 | | | | | | | | | (957) ~ (all_12_0 = e0)
% 71.20/10.68 | | | | | | | | |
% 71.20/10.68 | | | | | | | | | BETA: splitting (77) gives:
% 71.20/10.68 | | | | | | | | |
% 71.20/10.68 | | | | | | | | | Case 1:
% 71.20/10.68 | | | | | | | | | |
% 71.20/10.68 | | | | | | | | | | (958) ~ (all_18_0 = e0)
% 71.20/10.68 | | | | | | | | | |
% 71.20/10.68 | | | | | | | | | | REDUCE: (602), (958) imply:
% 71.20/10.68 | | | | | | | | | | (959) ~ (all_10_0 = e0)
% 71.20/10.68 | | | | | | | | | |
% 71.20/10.68 | | | | | | | | | | BETA: splitting (81) gives:
% 71.20/10.68 | | | | | | | | | |
% 71.20/10.68 | | | | | | | | | | Case 1:
% 71.20/10.68 | | | | | | | | | | |
% 71.20/10.68 | | | | | | | | | | | (960) ~ (all_20_0 = e1)
% 71.20/10.68 | | | | | | | | | | |
% 71.20/10.68 | | | | | | | | | | | BETA: splitting (85) gives:
% 71.20/10.68 | | | | | | | | | | |
% 71.20/10.68 | | | | | | | | | | | Case 1:
% 71.20/10.68 | | | | | | | | | | | |
% 71.20/10.68 | | | | | | | | | | | | (961) ~ (all_22_0 = e1)
% 71.20/10.68 | | | | | | | | | | | |
% 71.20/10.68 | | | | | | | | | | | | BETA: splitting (89) gives:
% 71.20/10.68 | | | | | | | | | | | |
% 71.20/10.68 | | | | | | | | | | | | Case 1:
% 71.20/10.68 | | | | | | | | | | | | |
% 71.20/10.68 | | | | | | | | | | | | | (962) ~ (all_24_0 = e2)
% 71.20/10.68 | | | | | | | | | | | | |
% 71.20/10.68 | | | | | | | | | | | | | REDUCE: (616), (962) imply:
% 71.20/10.68 | | | | | | | | | | | | | (963) ~ (all_8_0 = e2)
% 71.20/10.68 | | | | | | | | | | | | |
% 71.20/10.68 | | | | | | | | | | | | | BETA: splitting (93) gives:
% 71.20/10.68 | | | | | | | | | | | | |
% 71.20/10.68 | | | | | | | | | | | | | Case 1:
% 71.20/10.68 | | | | | | | | | | | | | |
% 71.20/10.68 | | | | | | | | | | | | | | (964) ~ (all_26_0 = e1)
% 71.20/10.68 | | | | | | | | | | | | | |
% 71.20/10.68 | | | | | | | | | | | | | | REDUCE: (598), (964) imply:
% 71.20/10.68 | | | | | | | | | | | | | | (965) ~ (all_14_0 = e1)
% 71.20/10.68 | | | | | | | | | | | | | |
% 71.20/10.68 | | | | | | | | | | | | | | BETA: splitting (97) gives:
% 71.20/10.68 | | | | | | | | | | | | | |
% 71.20/10.68 | | | | | | | | | | | | | | Case 1:
% 71.20/10.68 | | | | | | | | | | | | | | |
% 71.20/10.68 | | | | | | | | | | | | | | | (966) ~ (all_28_0 = e2)
% 71.20/10.68 | | | | | | | | | | | | | | |
% 71.20/10.68 | | | | | | | | | | | | | | | BETA: splitting (101) gives:
% 71.20/10.68 | | | | | | | | | | | | | | |
% 71.20/10.68 | | | | | | | | | | | | | | | Case 1:
% 71.20/10.68 | | | | | | | | | | | | | | | |
% 71.20/10.68 | | | | | | | | | | | | | | | | (967) ~ (all_30_0 = e0)
% 71.20/10.68 | | | | | | | | | | | | | | | |
% 71.20/10.68 | | | | | | | | | | | | | | | | REDUCE: (593), (967) imply:
% 71.20/10.68 | | | | | | | | | | | | | | | | (968) ~ (all_6_0 = e0)
% 71.20/10.68 | | | | | | | | | | | | | | | |
% 71.20/10.68 | | | | | | | | | | | | | | | | BETA: splitting (105) gives:
% 71.20/10.68 | | | | | | | | | | | | | | | |
% 71.20/10.68 | | | | | | | | | | | | | | | | Case 1:
% 71.20/10.68 | | | | | | | | | | | | | | | | |
% 71.20/10.68 | | | | | | | | | | | | | | | | | (969) ~ (all_32_0 = e0)
% 71.20/10.68 | | | | | | | | | | | | | | | | |
% 71.20/10.68 | | | | | | | | | | | | | | | | | REDUCE: (595), (969) imply:
% 71.20/10.68 | | | | | | | | | | | | | | | | | (970) ~ (all_4_0 = e0)
% 71.20/10.68 | | | | | | | | | | | | | | | | |
% 71.20/10.68 | | | | | | | | | | | | | | | | | BETA: splitting (109) gives:
% 71.20/10.68 | | | | | | | | | | | | | | | | |
% 71.20/10.68 | | | | | | | | | | | | | | | | | Case 1:
% 71.20/10.68 | | | | | | | | | | | | | | | | | |
% 71.20/10.68 | | | | | | | | | | | | | | | | | | (971) ~ (all_34_0 = e1)
% 71.20/10.68 | | | | | | | | | | | | | | | | | |
% 71.20/10.68 | | | | | | | | | | | | | | | | | | REDUCE: (596), (971) imply:
% 71.20/10.68 | | | | | | | | | | | | | | | | | | (972) ~ (all_28_0 = e1)
% 71.20/10.68 | | | | | | | | | | | | | | | | | |
% 71.20/10.68 | | | | | | | | | | | | | | | | | | BETA: splitting (117) gives:
% 71.20/10.68 | | | | | | | | | | | | | | | | | |
% 71.20/10.68 | | | | | | | | | | | | | | | | | | Case 1:
% 71.20/10.68 | | | | | | | | | | | | | | | | | | |
% 71.20/10.68 | | | | | | | | | | | | | | | | | | | (973) ~ (all_38_0 = e3)
% 71.20/10.68 | | | | | | | | | | | | | | | | | | |
% 71.20/10.68 | | | | | | | | | | | | | | | | | | | REDUCE: (614), (973) imply:
% 71.20/10.68 | | | | | | | | | | | | | | | | | | | (974) ~ (all_22_0 = e3)
% 71.20/10.68 | | | | | | | | | | | | | | | | | | |
% 71.20/10.68 | | | | | | | | | | | | | | | | | | | BETA: splitting (133) gives:
% 71.20/10.68 | | | | | | | | | | | | | | | | | | |
% 71.20/10.68 | | | | | | | | | | | | | | | | | | | Case 1:
% 71.20/10.68 | | | | | | | | | | | | | | | | | | | |
% 71.20/10.68 | | | | | | | | | | | | | | | | | | | | (975) ~ (all_46_0 = e3)
% 71.20/10.68 | | | | | | | | | | | | | | | | | | | |
% 71.20/10.68 | | | | | | | | | | | | | | | | | | | | REDUCE: (604), (975) imply:
% 71.20/10.68 | | | | | | | | | | | | | | | | | | | | (976) ~ (all_20_0 = e3)
% 71.20/10.68 | | | | | | | | | | | | | | | | | | | |
% 71.20/10.68 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (47), (48), (51), (55), (56), (59), (60),
% 71.20/10.68 | | | | | | | | | | | | | | | | | | | | (63), (79), (95), (112), (120), (163), (169),
% 71.20/10.68 | | | | | | | | | | | | | | | | | | | | (170), (171), (172), (173), (174), (175), (176),
% 71.20/10.68 | | | | | | | | | | | | | | | | | | | | (177), (178), (188), (189), (190), (191), (270),
% 71.20/10.68 | | | | | | | | | | | | | | | | | | | | (271), (272), (273), (274), (275), (277), (279),
% 71.20/10.68 | | | | | | | | | | | | | | | | | | | | (494), (512), (515), (518), (521), (542), (546),
% 71.20/10.68 | | | | | | | | | | | | | | | | | | | | (559), (600), (620), (622), (624), (625), (679),
% 71.20/10.68 | | | | | | | | | | | | | | | | | | | | (680), (684), (686), (687), (688), (689), (698),
% 71.20/10.68 | | | | | | | | | | | | | | | | | | | | (700), (702), (709), (711), (713), (717), (719),
% 71.20/10.68 | | | | | | | | | | | | | | | | | | | | (721), (723), (725), (729), (739), (741), (749),
% 71.20/10.68 | | | | | | | | | | | | | | | | | | | | (750), (758), (760), (762), (763), (764), (765),
% 71.20/10.68 | | | | | | | | | | | | | | | | | | | | (766), (767), (768), (769), (770), (851), (868),
% 71.20/10.68 | | | | | | | | | | | | | | | | | | | | (885), (902), (903), (904), (905), (951), (952),
% 71.20/10.68 | | | | | | | | | | | | | | | | | | | | (953), (954), (957), (959), (960), (961), (963),
% 71.20/10.68 | | | | | | | | | | | | | | | | | | | | (966), (968), (970), (972), (974), (976) are
% 71.20/10.68 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #74.
% 71.20/10.68 | | | | | | | | | | | | | | | | | | | |
% 71.20/10.68 | | | | | | | | | | | | | | | | | | | Case 2:
% 71.20/10.68 | | | | | | | | | | | | | | | | | | | |
% 71.20/10.68 | | | | | | | | | | | | | | | | | | | | (977) all_46_0 = e3
% 71.20/10.68 | | | | | | | | | | | | | | | | | | | | (978) ~ (all_46_1 = e1)
% 71.20/10.68 | | | | | | | | | | | | | | | | | | | |
% 71.20/10.68 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (604), (977) imply:
% 71.20/10.68 | | | | | | | | | | | | | | | | | | | | (979) all_20_0 = e3
% 71.20/10.68 | | | | | | | | | | | | | | | | | | | |
% 71.20/10.68 | | | | | | | | | | | | | | | | | | | | SIMP: (979) implies:
% 71.20/10.68 | | | | | | | | | | | | | | | | | | | | (980) all_20_0 = e3
% 71.20/10.68 | | | | | | | | | | | | | | | | | | | |
% 71.20/10.68 | | | | | | | | | | | | | | | | | | | | REDUCE: (636), (978) imply:
% 71.20/10.68 | | | | | | | | | | | | | | | | | | | | (981) ~ (all_10_1 = e1)
% 71.20/10.68 | | | | | | | | | | | | | | | | | | | |
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | REDUCE: (726), (980) imply:
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | (982) ~ (all_28_0 = e3)
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | |
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | REDUCE: (733), (980) imply:
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | (983) ~ (all_14_0 = e3)
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | |
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | SIMP: (983) implies:
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | (984) ~ (all_14_0 = e3)
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | |
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | REDUCE: (749), (980) imply:
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | (985) ~ (all_8_1 = e3)
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | |
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | SIMP: (985) implies:
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | (986) ~ (all_8_1 = e3)
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | |
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | BETA: splitting (280) gives:
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | |
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | |
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | (987) all_64_1 = e3
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | |
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (525), (987) imply:
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | (988) all_14_0 = e3
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | |
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | REDUCE: (984), (988) imply:
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | (989) $false
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | |
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | CLOSE: (989) is inconsistent.
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | |
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | |
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | (990) all_64_1 = e2 | all_64_1 = e1 | all_64_1 = e0
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | |
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (990) gives:
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | |
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | |
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | | (991) all_64_1 = e2
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | |
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (525), (991) imply:
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | | (992) all_14_0 = e2
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | |
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (704), (992) imply:
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | | (993) ~ (all_4_1 = e2)
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | |
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | | SIMP: (993) implies:
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | | (994) ~ (all_4_1 = e2)
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | |
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | |
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | | |
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | | | (995) (all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 &
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | | | all_56_3 = e3) | (all_56_0 = e2 & all_56_1 = e2
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | | | & all_56_2 = e2 & all_56_3 = e2)
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | | |
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (995) gives:
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | | |
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | | | |
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | | | | (996) all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 &
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | | | | all_56_3 = e3
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | | | |
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (679), (986), (996) are inconsistent by sub-proof
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | | | | #73.
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | | | |
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | | | |
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | | | | (997) all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 &
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | | | | all_56_3 = e2
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | | | |
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (559), (994), (997) are inconsistent by sub-proof
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | | | | #72.
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | | | |
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | | |
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | | |
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | | | (998) (all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 &
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | | | all_56_3 = e1) | (all_56_0 = e0 & all_56_1 = e0
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | | | & all_56_2 = e0 & all_56_3 = e0)
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | | |
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (998) gives:
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | | |
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | | | |
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | | | | (999) all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 &
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | | | | all_56_3 = e1
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | | | |
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (600), (981), (999) are inconsistent by sub-proof
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | | | | #71.
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | | | |
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | | | |
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | | | | (1000) all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 &
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | | | | all_56_3 = e0
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | | | |
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1000) implies:
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | | | | (1001) all_56_0 = e0
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | | | |
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (559), (1001) imply:
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | | | | (1002) all_4_1 = e0
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | | | |
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1002) implies:
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | | | | (1003) all_4_1 = e0
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | | | |
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (702), (1003) imply:
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | | | | (1004) ~ (all_28_0 = e0)
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | | | |
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (270), (684), (966), (972), (982), (1004) are
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #83.
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | | | |
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | | |
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | |
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | |
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | | (1005) all_64_1 = e1 | all_64_1 = e0
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | |
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (525), (955), (965), (1005) are inconsistent by
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | | sub-proof #70.
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | |
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | End of split
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | |
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | End of split
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | |
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | End of split
% 71.20/10.69 | | | | | | | | | | | | | | | | | | |
% 71.20/10.69 | | | | | | | | | | | | | | | | | | Case 2:
% 71.20/10.69 | | | | | | | | | | | | | | | | | | |
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | (1006) all_38_0 = e3
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | (1007) ~ (all_38_1 = e1)
% 71.20/10.69 | | | | | | | | | | | | | | | | | | |
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (614), (1006) imply:
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | (1008) all_22_0 = e3
% 71.20/10.69 | | | | | | | | | | | | | | | | | | |
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | SIMP: (1008) implies:
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | (1009) all_22_0 = e3
% 71.20/10.69 | | | | | | | | | | | | | | | | | | |
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | REDUCE: (675), (1007) imply:
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | (1010) ~ (all_8_1 = e1)
% 71.20/10.69 | | | | | | | | | | | | | | | | | | |
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | REDUCE: (743), (1009) imply:
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | (1011) ~ (all_10_1 = e3)
% 71.20/10.69 | | | | | | | | | | | | | | | | | | |
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | SIMP: (1011) implies:
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | (1012) ~ (all_10_1 = e3)
% 71.20/10.69 | | | | | | | | | | | | | | | | | | |
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | REDUCE: (762), (1009) imply:
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | (1013) ~ (all_8_0 = e3)
% 71.20/10.69 | | | | | | | | | | | | | | | | | | |
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | REDUCE: (717), (1009) imply:
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | (1014) ~ (all_6_0 = e3)
% 71.20/10.69 | | | | | | | | | | | | | | | | | | |
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | SIMP: (1014) implies:
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | (1015) ~ (all_6_0 = e3)
% 71.20/10.69 | | | | | | | | | | | | | | | | | | |
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | BETA: splitting (277) gives:
% 71.20/10.69 | | | | | | | | | | | | | | | | | | |
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | Case 1:
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | |
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | (1016) all_64_4 = e3
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | |
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (689), (1016) imply:
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | (1017) all_6_0 = e3
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | |
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | REDUCE: (1015), (1017) imply:
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | (1018) $false
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | |
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | CLOSE: (1018) is inconsistent.
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | |
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | Case 2:
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | |
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | (1019) all_64_4 = e2 | all_64_4 = e1 | all_64_4 = e0
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | |
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | BETA: splitting (1019) gives:
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | |
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | |
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | (1020) all_64_4 = e2
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | |
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (689), (1020) imply:
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | (1021) all_6_0 = e2
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | |
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | REDUCE: (713), (1021) imply:
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | (1022) ~ (all_10_1 = e2)
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | |
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | REDUCE: (709), (1021) imply:
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | (1023) ~ (all_4_0 = e2)
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | |
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (163), (270), (271), (273), (277), (546), (559),
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | (600), (679), (684), (686), (689), (698), (700),
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | (702), (709), (711), (719), (725), (764), (903),
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | (904), (905), (963), (972), (1010), (1012), (1022)
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #66.
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | |
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | |
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | (1024) all_64_4 = e1 | all_64_4 = e0
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | |
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (689), (904), (968), (1024) are inconsistent by
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | | sub-proof #98.
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | |
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | | End of split
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | |
% 71.20/10.69 | | | | | | | | | | | | | | | | | | | End of split
% 71.20/10.69 | | | | | | | | | | | | | | | | | | |
% 71.20/10.69 | | | | | | | | | | | | | | | | | | End of split
% 71.20/10.69 | | | | | | | | | | | | | | | | | |
% 71.20/10.69 | | | | | | | | | | | | | | | | | Case 2:
% 71.20/10.69 | | | | | | | | | | | | | | | | | |
% 71.20/10.69 | | | | | | | | | | | | | | | | | | (1025) all_34_0 = e1
% 71.20/10.69 | | | | | | | | | | | | | | | | | | (1026) ~ (all_34_1 = e2)
% 71.20/10.69 | | | | | | | | | | | | | | | | | |
% 71.20/10.69 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (596), (1025) imply:
% 71.20/10.69 | | | | | | | | | | | | | | | | | | (1027) all_28_0 = e1
% 71.20/10.69 | | | | | | | | | | | | | | | | | |
% 71.20/10.69 | | | | | | | | | | | | | | | | | | REDUCE: (673), (1026) imply:
% 71.20/10.69 | | | | | | | | | | | | | | | | | | (1028) ~ (all_4_1 = e2)
% 71.20/10.69 | | | | | | | | | | | | | | | | | |
% 71.20/10.69 | | | | | | | | | | | | | | | | | | REDUCE: (711), (1027) imply:
% 71.20/10.69 | | | | | | | | | | | | | | | | | | (1029) ~ (all_6_0 = e1)
% 71.20/10.69 | | | | | | | | | | | | | | | | | |
% 71.20/10.69 | | | | | | | | | | | | | | | | | | REDUCE: (719), (1027) imply:
% 71.20/10.69 | | | | | | | | | | | | | | | | | | (1030) ~ (all_4_0 = e1)
% 71.20/10.69 | | | | | | | | | | | | | | | | | |
% 71.20/10.69 | | | | | | | | | | | | | | | | | | SIMP: (1030) implies:
% 71.20/10.69 | | | | | | | | | | | | | | | | | | (1031) ~ (all_4_0 = e1)
% 71.20/10.69 | | | | | | | | | | | | | | | | | |
% 71.20/10.69 | | | | | | | | | | | | | | | | | | REDUCE: (702), (1027) imply:
% 71.20/10.69 | | | | | | | | | | | | | | | | | | (1032) ~ (all_4_1 = e1)
% 71.20/10.69 | | | | | | | | | | | | | | | | | |
% 71.20/10.69 | | | | | | | | | | | | | | | | | | SIMP: (1032) implies:
% 71.20/10.69 | | | | | | | | | | | | | | | | | | (1033) ~ (all_4_1 = e1)
% 71.20/10.69 | | | | | | | | | | | | | | | | | |
% 71.20/10.69 | | | | | | | | | | | | | | | | | | REF_CLOSE: (137), (163), (271), (272), (273), (275), (277),
% 71.20/10.69 | | | | | | | | | | | | | | | | | | (279), (280), (494), (525), (542), (546), (559),
% 71.20/10.69 | | | | | | | | | | | | | | | | | | (600), (605), (677), (679), (680), (686), (688),
% 71.20/10.69 | | | | | | | | | | | | | | | | | | (689), (698), (700), (704), (706), (709), (715),
% 71.20/10.69 | | | | | | | | | | | | | | | | | | (721), (725), (731), (735), (739), (741), (746),
% 71.20/10.69 | | | | | | | | | | | | | | | | | | (750), (764), (903), (904), (954), (963), (965),
% 71.20/10.69 | | | | | | | | | | | | | | | | | | (970), (1028), (1031), (1033) are inconsistent by
% 71.20/10.69 | | | | | | | | | | | | | | | | | | sub-proof #62.
% 71.20/10.69 | | | | | | | | | | | | | | | | | |
% 71.20/10.69 | | | | | | | | | | | | | | | | | End of split
% 71.20/10.69 | | | | | | | | | | | | | | | | |
% 71.20/10.70 | | | | | | | | | | | | | | | | Case 2:
% 71.20/10.70 | | | | | | | | | | | | | | | | |
% 71.20/10.70 | | | | | | | | | | | | | | | | | (1034) all_32_0 = e0
% 71.20/10.70 | | | | | | | | | | | | | | | | | (1035) ~ (all_32_1 = e2)
% 71.20/10.70 | | | | | | | | | | | | | | | | |
% 71.20/10.70 | | | | | | | | | | | | | | | | | COMBINE_EQS: (595), (1034) imply:
% 71.20/10.70 | | | | | | | | | | | | | | | | | (1036) all_4_0 = e0
% 71.20/10.70 | | | | | | | | | | | | | | | | |
% 71.20/10.70 | | | | | | | | | | | | | | | | | REDUCE: (634), (1035) imply:
% 71.20/10.70 | | | | | | | | | | | | | | | | | (1037) ~ (all_4_1 = e2)
% 71.20/10.70 | | | | | | | | | | | | | | | | |
% 71.20/10.70 | | | | | | | | | | | | | | | | | REDUCE: (725), (1036) imply:
% 71.20/10.70 | | | | | | | | | | | | | | | | | (1038) ~ (all_8_0 = e0)
% 71.20/10.70 | | | | | | | | | | | | | | | | |
% 71.20/10.70 | | | | | | | | | | | | | | | | | REDUCE: (700), (1036) imply:
% 71.20/10.70 | | | | | | | | | | | | | | | | | (1039) ~ (all_4_1 = e0)
% 71.20/10.70 | | | | | | | | | | | | | | | | |
% 71.20/10.70 | | | | | | | | | | | | | | | | | SIMP: (1039) implies:
% 71.20/10.70 | | | | | | | | | | | | | | | | | (1040) ~ (all_4_1 = e0)
% 71.20/10.70 | | | | | | | | | | | | | | | | |
% 71.20/10.70 | | | | | | | | | | | | | | | | | BETA: splitting (271) gives:
% 71.20/10.70 | | | | | | | | | | | | | | | | |
% 71.20/10.70 | | | | | | | | | | | | | | | | | Case 1:
% 71.20/10.70 | | | | | | | | | | | | | | | | | |
% 71.20/10.70 | | | | | | | | | | | | | | | | | | (1041) all_64_11 = e3
% 71.20/10.70 | | | | | | | | | | | | | | | | | |
% 71.20/10.70 | | | | | | | | | | | | | | | | | | REF_CLOSE: (546), (905), (1041) are inconsistent by sub-proof
% 71.20/10.70 | | | | | | | | | | | | | | | | | | #61.
% 71.20/10.70 | | | | | | | | | | | | | | | | | |
% 71.20/10.70 | | | | | | | | | | | | | | | | | Case 2:
% 71.20/10.70 | | | | | | | | | | | | | | | | | |
% 71.20/10.70 | | | | | | | | | | | | | | | | | | (1042) all_64_11 = e2 | all_64_11 = e1 | all_64_11 = e0
% 71.20/10.70 | | | | | | | | | | | | | | | | | |
% 71.20/10.70 | | | | | | | | | | | | | | | | | | BETA: splitting (1042) gives:
% 71.20/10.70 | | | | | | | | | | | | | | | | | |
% 71.20/10.70 | | | | | | | | | | | | | | | | | | Case 1:
% 71.20/10.70 | | | | | | | | | | | | | | | | | | |
% 71.20/10.70 | | | | | | | | | | | | | | | | | | | (1043) all_64_11 = e2
% 71.20/10.70 | | | | | | | | | | | | | | | | | | |
% 71.20/10.70 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (546), (963), (1043) are inconsistent by sub-proof
% 71.20/10.70 | | | | | | | | | | | | | | | | | | | #60.
% 71.20/10.70 | | | | | | | | | | | | | | | | | | |
% 71.20/10.70 | | | | | | | | | | | | | | | | | | Case 2:
% 71.20/10.70 | | | | | | | | | | | | | | | | | | |
% 71.20/10.70 | | | | | | | | | | | | | | | | | | | (1044) all_64_11 = e1 | all_64_11 = e0
% 71.20/10.70 | | | | | | | | | | | | | | | | | | |
% 71.20/10.70 | | | | | | | | | | | | | | | | | | | BETA: splitting (1044) gives:
% 71.20/10.70 | | | | | | | | | | | | | | | | | | |
% 71.20/10.70 | | | | | | | | | | | | | | | | | | | Case 1:
% 71.20/10.70 | | | | | | | | | | | | | | | | | | | |
% 71.20/10.70 | | | | | | | | | | | | | | | | | | | | (1045) all_64_11 = e1
% 71.20/10.70 | | | | | | | | | | | | | | | | | | | |
% 71.20/10.70 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (546), (1045) imply:
% 71.20/10.70 | | | | | | | | | | | | | | | | | | | | (1046) all_8_0 = e1
% 71.20/10.70 | | | | | | | | | | | | | | | | | | | |
% 71.20/10.70 | | | | | | | | | | | | | | | | | | | | SIMP: (1046) implies:
% 71.20/10.70 | | | | | | | | | | | | | | | | | | | | (1047) all_8_0 = e1
% 71.20/10.70 | | | | | | | | | | | | | | | | | | | |
% 71.20/10.70 | | | | | | | | | | | | | | | | | | | | REDUCE: (764), (1047) imply:
% 71.48/10.70 | | | | | | | | | | | | | | | | | | | | (1048) ~ (all_8_1 = e1)
% 71.48/10.70 | | | | | | | | | | | | | | | | | | | |
% 71.48/10.70 | | | | | | | | | | | | | | | | | | | | SIMP: (1048) implies:
% 71.48/10.70 | | | | | | | | | | | | | | | | | | | | (1049) ~ (all_8_1 = e1)
% 71.48/10.70 | | | | | | | | | | | | | | | | | | | |
% 71.48/10.70 | | | | | | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 71.48/10.70 | | | | | | | | | | | | | | | | | | | |
% 71.48/10.70 | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.48/10.70 | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.70 | | | | | | | | | | | | | | | | | | | | | (1050) (all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 &
% 71.48/10.70 | | | | | | | | | | | | | | | | | | | | | all_56_3 = e3) | (all_56_0 = e2 & all_56_1 = e2
% 71.48/10.70 | | | | | | | | | | | | | | | | | | | | | & all_56_2 = e2 & all_56_3 = e2)
% 71.48/10.70 | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.70 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1050) gives:
% 71.48/10.70 | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.70 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.48/10.70 | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.70 | | | | | | | | | | | | | | | | | | | | | | (1051) all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 &
% 71.48/10.70 | | | | | | | | | | | | | | | | | | | | | | all_56_3 = e3
% 71.48/10.70 | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.70 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1051) implies:
% 71.48/10.70 | | | | | | | | | | | | | | | | | | | | | | (1052) all_56_3 = e3
% 71.48/10.70 | | | | | | | | | | | | | | | | | | | | | | (1053) all_56_2 = e3
% 71.48/10.70 | | | | | | | | | | | | | | | | | | | | | | (1054) all_56_0 = e3
% 71.48/10.70 | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.70 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (559), (1054) imply:
% 71.48/10.70 | | | | | | | | | | | | | | | | | | | | | | (1055) all_4_1 = e3
% 71.48/10.70 | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.70 | | | | | | | | | | | | | | | | | | | | | | SIMP: (1055) implies:
% 71.48/10.70 | | | | | | | | | | | | | | | | | | | | | | (1056) all_4_1 = e3
% 71.48/10.70 | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.70 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (141), (268), (269), (270), (280), (525), (550),
% 71.48/10.70 | | | | | | | | | | | | | | | | | | | | | | (551), (611), (678), (679), (680), (684), (702),
% 71.48/10.70 | | | | | | | | | | | | | | | | | | | | | | (704), (726), (728), (733), (748), (749), (759),
% 71.48/10.70 | | | | | | | | | | | | | | | | | | | | | | (955), (960), (965), (966), (1052), (1053), (1056)
% 71.48/10.70 | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #55.
% 71.48/10.70 | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.70 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.48/10.70 | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.70 | | | | | | | | | | | | | | | | | | | | | | (1057) all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 &
% 71.48/10.70 | | | | | | | | | | | | | | | | | | | | | | all_56_3 = e2
% 71.48/10.70 | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.70 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (559), (1037), (1057) are inconsistent by
% 71.48/10.70 | | | | | | | | | | | | | | | | | | | | | | sub-proof #72.
% 71.48/10.70 | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.70 | | | | | | | | | | | | | | | | | | | | | End of split
% 71.48/10.70 | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.70 | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.48/10.70 | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.70 | | | | | | | | | | | | | | | | | | | | | (1058) (all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 &
% 71.48/10.70 | | | | | | | | | | | | | | | | | | | | | all_56_3 = e1) | (all_56_0 = e0 & all_56_1 = e0
% 71.48/10.70 | | | | | | | | | | | | | | | | | | | | | & all_56_2 = e0 & all_56_3 = e0)
% 71.48/10.70 | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.70 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1058) gives:
% 71.48/10.70 | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.70 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.48/10.70 | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.70 | | | | | | | | | | | | | | | | | | | | | | (1059) all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 &
% 71.48/10.70 | | | | | | | | | | | | | | | | | | | | | | all_56_3 = e1
% 71.48/10.70 | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.70 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (679), (1049), (1059) are inconsistent by
% 71.48/10.70 | | | | | | | | | | | | | | | | | | | | | | sub-proof #54.
% 71.48/10.70 | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.70 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.48/10.70 | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.70 | | | | | | | | | | | | | | | | | | | | | | (1060) all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 &
% 71.48/10.70 | | | | | | | | | | | | | | | | | | | | | | all_56_3 = e0
% 71.48/10.70 | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.70 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (559), (1040), (1060) are inconsistent by
% 71.48/10.70 | | | | | | | | | | | | | | | | | | | | | | sub-proof #77.
% 71.48/10.70 | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.70 | | | | | | | | | | | | | | | | | | | | | End of split
% 71.48/10.70 | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.70 | | | | | | | | | | | | | | | | | | | | End of split
% 71.48/10.70 | | | | | | | | | | | | | | | | | | | |
% 71.48/10.70 | | | | | | | | | | | | | | | | | | | Case 2:
% 71.48/10.70 | | | | | | | | | | | | | | | | | | | |
% 71.48/10.70 | | | | | | | | | | | | | | | | | | | | (1061) all_64_11 = e0
% 71.48/10.70 | | | | | | | | | | | | | | | | | | | |
% 71.48/10.70 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (546), (1038), (1061) are inconsistent by
% 71.48/10.70 | | | | | | | | | | | | | | | | | | | | sub-proof #53.
% 71.48/10.70 | | | | | | | | | | | | | | | | | | | |
% 71.48/10.70 | | | | | | | | | | | | | | | | | | | End of split
% 71.48/10.70 | | | | | | | | | | | | | | | | | | |
% 71.48/10.70 | | | | | | | | | | | | | | | | | | End of split
% 71.48/10.70 | | | | | | | | | | | | | | | | | |
% 71.48/10.70 | | | | | | | | | | | | | | | | | End of split
% 71.48/10.70 | | | | | | | | | | | | | | | | |
% 71.48/10.70 | | | | | | | | | | | | | | | | End of split
% 71.48/10.70 | | | | | | | | | | | | | | | |
% 71.48/10.70 | | | | | | | | | | | | | | | Case 2:
% 71.48/10.70 | | | | | | | | | | | | | | | |
% 71.48/10.70 | | | | | | | | | | | | | | | | (1062) all_30_0 = e0
% 71.48/10.70 | | | | | | | | | | | | | | | | (1063) ~ (all_30_1 = e1)
% 71.48/10.70 | | | | | | | | | | | | | | | |
% 71.48/10.70 | | | | | | | | | | | | | | | | COMBINE_EQS: (593), (1062) imply:
% 71.48/10.70 | | | | | | | | | | | | | | | | (1064) all_6_0 = e0
% 71.48/10.70 | | | | | | | | | | | | | | | |
% 71.48/10.70 | | | | | | | | | | | | | | | | REDUCE: (661), (1063) imply:
% 71.48/10.70 | | | | | | | | | | | | | | | | (1065) ~ (all_4_1 = e1)
% 71.48/10.70 | | | | | | | | | | | | | | | |
% 71.48/10.70 | | | | | | | | | | | | | | | | REDUCE: (711), (1064) imply:
% 71.48/10.70 | | | | | | | | | | | | | | | | (1066) ~ (all_28_0 = e0)
% 71.48/10.70 | | | | | | | | | | | | | | | |
% 71.48/10.70 | | | | | | | | | | | | | | | | REDUCE: (709), (1064) imply:
% 71.48/10.70 | | | | | | | | | | | | | | | | (1067) ~ (all_4_0 = e0)
% 71.48/10.70 | | | | | | | | | | | | | | | |
% 71.48/10.70 | | | | | | | | | | | | | | | | SIMP: (1067) implies:
% 71.48/10.70 | | | | | | | | | | | | | | | | (1068) ~ (all_4_0 = e0)
% 71.48/10.70 | | | | | | | | | | | | | | | |
% 71.48/10.70 | | | | | | | | | | | | | | | | REDUCE: (698), (1064) imply:
% 71.48/10.70 | | | | | | | | | | | | | | | | (1069) ~ (all_4_1 = e0)
% 71.48/10.70 | | | | | | | | | | | | | | | |
% 71.48/10.70 | | | | | | | | | | | | | | | | SIMP: (1069) implies:
% 71.48/10.70 | | | | | | | | | | | | | | | | (1070) ~ (all_4_1 = e0)
% 71.48/10.70 | | | | | | | | | | | | | | | |
% 71.48/10.70 | | | | | | | | | | | | | | | | REF_CLOSE: (14), (15), (109), (163), (270), (272), (273),
% 71.48/10.70 | | | | | | | | | | | | | | | | (542), (559), (596), (600), (673), (680), (684),
% 71.48/10.70 | | | | | | | | | | | | | | | | (686), (700), (702), (719), (721), (723), (739),
% 71.48/10.70 | | | | | | | | | | | | | | | | (903), (953), (959), (966), (1065), (1066),
% 71.48/10.70 | | | | | | | | | | | | | | | | (1068), (1070) are inconsistent by sub-proof #50.
% 71.48/10.70 | | | | | | | | | | | | | | | |
% 71.48/10.70 | | | | | | | | | | | | | | | End of split
% 71.48/10.70 | | | | | | | | | | | | | | |
% 71.48/10.70 | | | | | | | | | | | | | | Case 2:
% 71.48/10.70 | | | | | | | | | | | | | | |
% 71.48/10.70 | | | | | | | | | | | | | | | (1071) all_28_0 = e2
% 71.48/10.70 | | | | | | | | | | | | | | | (1072) ~ (all_28_1 = e1)
% 71.48/10.70 | | | | | | | | | | | | | | |
% 71.48/10.70 | | | | | | | | | | | | | | | REDUCE: (726), (1071) imply:
% 71.48/10.70 | | | | | | | | | | | | | | | (1073) ~ (all_20_0 = e2)
% 71.48/10.70 | | | | | | | | | | | | | | |
% 71.48/10.70 | | | | | | | | | | | | | | | SIMP: (1073) implies:
% 71.48/10.70 | | | | | | | | | | | | | | | (1074) ~ (all_20_0 = e2)
% 71.48/10.70 | | | | | | | | | | | | | | |
% 71.48/10.70 | | | | | | | | | | | | | | | REDUCE: (719), (1071) imply:
% 71.48/10.70 | | | | | | | | | | | | | | | (1075) ~ (all_4_0 = e2)
% 71.48/10.70 | | | | | | | | | | | | | | |
% 71.48/10.70 | | | | | | | | | | | | | | | REDUCE: (702), (1071) imply:
% 71.48/10.70 | | | | | | | | | | | | | | | (1076) ~ (all_4_1 = e2)
% 71.48/10.70 | | | | | | | | | | | | | | |
% 71.48/10.70 | | | | | | | | | | | | | | | SIMP: (1076) implies:
% 71.48/10.70 | | | | | | | | | | | | | | | (1077) ~ (all_4_1 = e2)
% 71.48/10.70 | | | | | | | | | | | | | | |
% 71.48/10.70 | | | | | | | | | | | | | | | REDUCE: (663), (1072) imply:
% 71.48/10.70 | | | | | | | | | | | | | | | (1078) ~ (all_4_1 = e1)
% 71.48/10.70 | | | | | | | | | | | | | | |
% 71.48/10.70 | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 71.48/10.70 | | | | | | | | | | | | | | |
% 71.48/10.70 | | | | | | | | | | | | | | | Case 1:
% 71.48/10.70 | | | | | | | | | | | | | | | |
% 71.48/10.70 | | | | | | | | | | | | | | | | (1079) (all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 &
% 71.48/10.70 | | | | | | | | | | | | | | | | all_56_3 = e3) | (all_56_0 = e2 & all_56_1 = e2
% 71.48/10.70 | | | | | | | | | | | | | | | | & all_56_2 = e2 & all_56_3 = e2)
% 71.48/10.70 | | | | | | | | | | | | | | | |
% 71.48/10.70 | | | | | | | | | | | | | | | | BETA: splitting (1079) gives:
% 71.48/10.70 | | | | | | | | | | | | | | | |
% 71.48/10.70 | | | | | | | | | | | | | | | | Case 1:
% 71.48/10.70 | | | | | | | | | | | | | | | | |
% 71.48/10.70 | | | | | | | | | | | | | | | | | (1080) all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 &
% 71.48/10.70 | | | | | | | | | | | | | | | | | all_56_3 = e3
% 71.48/10.70 | | | | | | | | | | | | | | | | |
% 71.48/10.70 | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (17), (18), (141), (163), (268), (269),
% 71.48/10.70 | | | | | | | | | | | | | | | | | (274), (275), (277), (550), (551), (559), (611),
% 71.48/10.70 | | | | | | | | | | | | | | | | | (678), (679), (680), (687), (688), (689), (698),
% 71.48/10.70 | | | | | | | | | | | | | | | | | (715), (717), (748), (749), (754), (756), (758),
% 71.48/10.70 | | | | | | | | | | | | | | | | | (759), (763), (904), (957), (960), (961), (1074),
% 71.48/10.70 | | | | | | | | | | | | | | | | | (1080) are inconsistent by sub-proof #47.
% 71.48/10.70 | | | | | | | | | | | | | | | | |
% 71.48/10.70 | | | | | | | | | | | | | | | | Case 2:
% 71.48/10.70 | | | | | | | | | | | | | | | | |
% 71.48/10.70 | | | | | | | | | | | | | | | | | (1081) all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 &
% 71.48/10.70 | | | | | | | | | | | | | | | | | all_56_3 = e2
% 71.48/10.70 | | | | | | | | | | | | | | | | |
% 71.48/10.70 | | | | | | | | | | | | | | | | | REF_CLOSE: (559), (1077), (1081) are inconsistent by
% 71.48/10.70 | | | | | | | | | | | | | | | | | sub-proof #72.
% 71.48/10.70 | | | | | | | | | | | | | | | | |
% 71.48/10.70 | | | | | | | | | | | | | | | | End of split
% 71.48/10.70 | | | | | | | | | | | | | | | |
% 71.48/10.70 | | | | | | | | | | | | | | | Case 2:
% 71.48/10.70 | | | | | | | | | | | | | | | |
% 71.48/10.70 | | | | | | | | | | | | | | | | (1082) (all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 &
% 71.48/10.70 | | | | | | | | | | | | | | | | all_56_3 = e1) | (all_56_0 = e0 & all_56_1 = e0
% 71.48/10.70 | | | | | | | | | | | | | | | | & all_56_2 = e0 & all_56_3 = e0)
% 71.48/10.70 | | | | | | | | | | | | | | | |
% 71.48/10.70 | | | | | | | | | | | | | | | | BETA: splitting (1082) gives:
% 71.48/10.70 | | | | | | | | | | | | | | | |
% 71.48/10.70 | | | | | | | | | | | | | | | | Case 1:
% 71.48/10.70 | | | | | | | | | | | | | | | | |
% 71.48/10.70 | | | | | | | | | | | | | | | | | (1083) all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 &
% 71.48/10.70 | | | | | | | | | | | | | | | | | all_56_3 = e1
% 71.48/10.70 | | | | | | | | | | | | | | | | |
% 71.48/10.70 | | | | | | | | | | | | | | | | | REF_CLOSE: (559), (1078), (1083) are inconsistent by
% 71.48/10.70 | | | | | | | | | | | | | | | | | sub-proof #65.
% 71.48/10.70 | | | | | | | | | | | | | | | | |
% 71.48/10.71 | | | | | | | | | | | | | | | | Case 2:
% 71.48/10.71 | | | | | | | | | | | | | | | | |
% 71.48/10.71 | | | | | | | | | | | | | | | | | (1084) all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 &
% 71.48/10.71 | | | | | | | | | | | | | | | | | all_56_3 = e0
% 71.48/10.71 | | | | | | | | | | | | | | | | |
% 71.48/10.71 | | | | | | | | | | | | | | | | | ALPHA: (1084) implies:
% 71.48/10.71 | | | | | | | | | | | | | | | | | (1085) all_56_3 = e0
% 71.48/10.71 | | | | | | | | | | | | | | | | | (1086) all_56_0 = e0
% 71.48/10.71 | | | | | | | | | | | | | | | | |
% 71.48/10.71 | | | | | | | | | | | | | | | | | COMBINE_EQS: (559), (1086) imply:
% 71.48/10.71 | | | | | | | | | | | | | | | | | (1087) all_4_1 = e0
% 71.48/10.71 | | | | | | | | | | | | | | | | |
% 71.48/10.71 | | | | | | | | | | | | | | | | | SIMP: (1087) implies:
% 71.48/10.71 | | | | | | | | | | | | | | | | | (1088) all_4_1 = e0
% 71.48/10.71 | | | | | | | | | | | | | | | | |
% 71.48/10.71 | | | | | | | | | | | | | | | | | COMBINE_EQS: (679), (1085) imply:
% 71.48/10.71 | | | | | | | | | | | | | | | | | (1089) all_8_1 = e0
% 71.48/10.71 | | | | | | | | | | | | | | | | |
% 71.48/10.71 | | | | | | | | | | | | | | | | | SIMP: (1089) implies:
% 71.48/10.71 | | | | | | | | | | | | | | | | | (1090) all_8_1 = e0
% 71.48/10.71 | | | | | | | | | | | | | | | | |
% 71.48/10.71 | | | | | | | | | | | | | | | | | REDUCE: (764), (1090) imply:
% 71.48/10.71 | | | | | | | | | | | | | | | | | (1091) ~ (all_8_0 = e0)
% 71.48/10.71 | | | | | | | | | | | | | | | | |
% 71.48/10.71 | | | | | | | | | | | | | | | | | REDUCE: (700), (1088) imply:
% 71.48/10.71 | | | | | | | | | | | | | | | | | (1092) ~ (all_4_0 = e0)
% 71.48/10.71 | | | | | | | | | | | | | | | | |
% 71.48/10.71 | | | | | | | | | | | | | | | | | BETA: splitting (271) gives:
% 71.48/10.71 | | | | | | | | | | | | | | | | |
% 71.48/10.71 | | | | | | | | | | | | | | | | | Case 1:
% 71.48/10.71 | | | | | | | | | | | | | | | | | |
% 71.48/10.71 | | | | | | | | | | | | | | | | | | (1093) all_64_11 = e3
% 71.48/10.71 | | | | | | | | | | | | | | | | | |
% 71.48/10.71 | | | | | | | | | | | | | | | | | | REF_CLOSE: (546), (905), (1093) are inconsistent by sub-proof
% 71.48/10.71 | | | | | | | | | | | | | | | | | | #61.
% 71.48/10.71 | | | | | | | | | | | | | | | | | |
% 71.48/10.71 | | | | | | | | | | | | | | | | | Case 2:
% 71.48/10.71 | | | | | | | | | | | | | | | | | |
% 71.48/10.71 | | | | | | | | | | | | | | | | | | (1094) all_64_11 = e2 | all_64_11 = e1 | all_64_11 = e0
% 71.48/10.71 | | | | | | | | | | | | | | | | | |
% 71.48/10.71 | | | | | | | | | | | | | | | | | | BETA: splitting (1094) gives:
% 71.48/10.71 | | | | | | | | | | | | | | | | | |
% 71.48/10.71 | | | | | | | | | | | | | | | | | | Case 1:
% 71.48/10.71 | | | | | | | | | | | | | | | | | | |
% 71.48/10.71 | | | | | | | | | | | | | | | | | | | (1095) all_64_11 = e2
% 71.48/10.71 | | | | | | | | | | | | | | | | | | |
% 71.48/10.71 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (546), (963), (1095) are inconsistent by sub-proof
% 71.48/10.71 | | | | | | | | | | | | | | | | | | | #60.
% 71.48/10.71 | | | | | | | | | | | | | | | | | | |
% 71.48/10.71 | | | | | | | | | | | | | | | | | | Case 2:
% 71.48/10.71 | | | | | | | | | | | | | | | | | | |
% 71.48/10.71 | | | | | | | | | | | | | | | | | | | (1096) ~ (all_64_11 = e2)
% 71.48/10.71 | | | | | | | | | | | | | | | | | | | (1097) all_64_11 = e1 | all_64_11 = e0
% 71.48/10.71 | | | | | | | | | | | | | | | | | | |
% 71.48/10.71 | | | | | | | | | | | | | | | | | | | BETA: splitting (1097) gives:
% 71.48/10.71 | | | | | | | | | | | | | | | | | | |
% 71.48/10.71 | | | | | | | | | | | | | | | | | | | Case 1:
% 71.48/10.71 | | | | | | | | | | | | | | | | | | | |
% 71.48/10.71 | | | | | | | | | | | | | | | | | | | | (1098) all_64_11 = e1
% 71.48/10.71 | | | | | | | | | | | | | | | | | | | |
% 71.48/10.71 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (546), (1098) imply:
% 71.48/10.71 | | | | | | | | | | | | | | | | | | | | (1099) all_8_0 = e1
% 71.48/10.71 | | | | | | | | | | | | | | | | | | | |
% 71.48/10.71 | | | | | | | | | | | | | | | | | | | | SIMP: (1099) implies:
% 71.48/10.71 | | | | | | | | | | | | | | | | | | | | (1100) all_8_0 = e1
% 71.48/10.71 | | | | | | | | | | | | | | | | | | | |
% 71.48/10.71 | | | | | | | | | | | | | | | | | | | | REDUCE: (725), (1100) imply:
% 71.48/10.71 | | | | | | | | | | | | | | | | | | | | (1101) ~ (all_4_0 = e1)
% 71.48/10.71 | | | | | | | | | | | | | | | | | | | |
% 71.48/10.71 | | | | | | | | | | | | | | | | | | | | SIMP: (1101) implies:
% 71.48/10.71 | | | | | | | | | | | | | | | | | | | | (1102) ~ (all_4_0 = e1)
% 71.48/10.71 | | | | | | | | | | | | | | | | | | | |
% 71.48/10.71 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (137), (163), (271), (272), (273), (275), (277),
% 71.48/10.71 | | | | | | | | | | | | | | | | | | | | (279), (280), (494), (525), (542), (546), (559),
% 71.48/10.71 | | | | | | | | | | | | | | | | | | | | (600), (605), (677), (679), (680), (686), (688),
% 71.48/10.71 | | | | | | | | | | | | | | | | | | | | (689), (698), (700), (704), (706), (709), (715),
% 71.48/10.71 | | | | | | | | | | | | | | | | | | | | (721), (725), (731), (735), (739), (741), (746),
% 71.48/10.71 | | | | | | | | | | | | | | | | | | | | (750), (764), (903), (904), (954), (963), (965),
% 71.48/10.71 | | | | | | | | | | | | | | | | | | | | (1077), (1078), (1092), (1102) are inconsistent by
% 71.48/10.71 | | | | | | | | | | | | | | | | | | | | sub-proof #62.
% 71.48/10.71 | | | | | | | | | | | | | | | | | | | |
% 71.48/10.71 | | | | | | | | | | | | | | | | | | | Case 2:
% 71.48/10.71 | | | | | | | | | | | | | | | | | | | |
% 71.48/10.71 | | | | | | | | | | | | | | | | | | | | (1103) all_64_11 = e0
% 71.48/10.71 | | | | | | | | | | | | | | | | | | | |
% 71.48/10.71 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (546), (1091), (1103) are inconsistent by
% 71.48/10.71 | | | | | | | | | | | | | | | | | | | | sub-proof #53.
% 71.48/10.71 | | | | | | | | | | | | | | | | | | | |
% 71.48/10.71 | | | | | | | | | | | | | | | | | | | End of split
% 71.48/10.71 | | | | | | | | | | | | | | | | | | |
% 71.48/10.71 | | | | | | | | | | | | | | | | | | End of split
% 71.48/10.71 | | | | | | | | | | | | | | | | | |
% 71.48/10.71 | | | | | | | | | | | | | | | | | End of split
% 71.48/10.71 | | | | | | | | | | | | | | | | |
% 71.48/10.71 | | | | | | | | | | | | | | | | End of split
% 71.48/10.71 | | | | | | | | | | | | | | | |
% 71.48/10.71 | | | | | | | | | | | | | | | End of split
% 71.48/10.71 | | | | | | | | | | | | | | |
% 71.48/10.71 | | | | | | | | | | | | | | End of split
% 71.48/10.71 | | | | | | | | | | | | | |
% 71.48/10.71 | | | | | | | | | | | | | Case 2:
% 71.48/10.71 | | | | | | | | | | | | | |
% 71.48/10.71 | | | | | | | | | | | | | | (1104) all_26_0 = e1
% 71.48/10.71 | | | | | | | | | | | | | | (1105) ~ (all_26_1 = e0)
% 71.48/10.71 | | | | | | | | | | | | | |
% 71.48/10.71 | | | | | | | | | | | | | | COMBINE_EQS: (598), (1104) imply:
% 71.48/10.71 | | | | | | | | | | | | | | (1106) all_14_0 = e1
% 71.48/10.71 | | | | | | | | | | | | | |
% 71.48/10.71 | | | | | | | | | | | | | | REDUCE: (672), (1105) imply:
% 71.48/10.71 | | | | | | | | | | | | | | (1107) ~ (all_10_1 = e0)
% 71.48/10.71 | | | | | | | | | | | | | |
% 71.48/10.71 | | | | | | | | | | | | | | REDUCE: (731), (1106) imply:
% 71.48/10.71 | | | | | | | | | | | | | | (1108) ~ (all_10_0 = e1)
% 71.48/10.71 | | | | | | | | | | | | | |
% 71.48/10.71 | | | | | | | | | | | | | | SIMP: (1108) implies:
% 71.48/10.71 | | | | | | | | | | | | | | (1109) ~ (all_10_0 = e1)
% 71.48/10.71 | | | | | | | | | | | | | |
% 71.48/10.71 | | | | | | | | | | | | | | REDUCE: (704), (1106) imply:
% 71.48/10.71 | | | | | | | | | | | | | | (1110) ~ (all_4_1 = e1)
% 71.48/10.71 | | | | | | | | | | | | | |
% 71.48/10.71 | | | | | | | | | | | | | | SIMP: (1110) implies:
% 71.48/10.71 | | | | | | | | | | | | | | (1111) ~ (all_4_1 = e1)
% 71.48/10.71 | | | | | | | | | | | | | |
% 71.48/10.71 | | | | | | | | | | | | | | BETA: splitting (272) gives:
% 71.48/10.71 | | | | | | | | | | | | | |
% 71.48/10.71 | | | | | | | | | | | | | | Case 1:
% 71.48/10.71 | | | | | | | | | | | | | | |
% 71.48/10.71 | | | | | | | | | | | | | | | (1112) all_64_9 = e3
% 71.48/10.71 | | | | | | | | | | | | | | |
% 71.48/10.71 | | | | | | | | | | | | | | | COMBINE_EQS: (542), (1112) imply:
% 71.48/10.71 | | | | | | | | | | | | | | | (1113) all_10_0 = e3
% 71.48/10.71 | | | | | | | | | | | | | | |
% 71.48/10.71 | | | | | | | | | | | | | | | REDUCE: (953), (1113) imply:
% 71.48/10.71 | | | | | | | | | | | | | | | (1114) $false
% 71.48/10.71 | | | | | | | | | | | | | | |
% 71.48/10.71 | | | | | | | | | | | | | | | CLOSE: (1114) is inconsistent.
% 71.48/10.71 | | | | | | | | | | | | | | |
% 71.48/10.71 | | | | | | | | | | | | | | Case 2:
% 71.48/10.71 | | | | | | | | | | | | | | |
% 71.48/10.71 | | | | | | | | | | | | | | | (1115) ~ (all_64_9 = e3)
% 71.48/10.71 | | | | | | | | | | | | | | | (1116) all_64_9 = e2 | all_64_9 = e1 | all_64_9 = e0
% 71.48/10.71 | | | | | | | | | | | | | | |
% 71.48/10.71 | | | | | | | | | | | | | | | BETA: splitting (1116) gives:
% 71.48/10.71 | | | | | | | | | | | | | | |
% 71.48/10.71 | | | | | | | | | | | | | | | Case 1:
% 71.48/10.71 | | | | | | | | | | | | | | | |
% 71.48/10.71 | | | | | | | | | | | | | | | | (1117) all_64_9 = e2
% 71.48/10.71 | | | | | | | | | | | | | | | |
% 71.48/10.71 | | | | | | | | | | | | | | | | COMBINE_EQS: (542), (1117) imply:
% 71.48/10.71 | | | | | | | | | | | | | | | | (1118) all_10_0 = e2
% 71.48/10.71 | | | | | | | | | | | | | | | |
% 71.48/10.71 | | | | | | | | | | | | | | | | REDUCE: (745), (1118) imply:
% 71.48/10.71 | | | | | | | | | | | | | | | | (1119) ~ (all_20_0 = e2)
% 71.48/10.71 | | | | | | | | | | | | | | | |
% 71.48/10.71 | | | | | | | | | | | | | | | | REDUCE: (739), (1118) imply:
% 71.48/10.71 | | | | | | | | | | | | | | | | (1120) ~ (all_10_1 = e2)
% 71.48/10.71 | | | | | | | | | | | | | | | |
% 71.48/10.71 | | | | | | | | | | | | | | | | SIMP: (1120) implies:
% 71.48/10.71 | | | | | | | | | | | | | | | | (1121) ~ (all_10_1 = e2)
% 71.48/10.71 | | | | | | | | | | | | | | | |
% 71.48/10.71 | | | | | | | | | | | | | | | | REDUCE: (953), (1118) imply:
% 71.48/10.71 | | | | | | | | | | | | | | | | (1122) ~ (e3 = e2)
% 71.48/10.71 | | | | | | | | | | | | | | | |
% 71.48/10.71 | | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 71.48/10.71 | | | | | | | | | | | | | | | |
% 71.48/10.71 | | | | | | | | | | | | | | | | Case 1:
% 71.48/10.71 | | | | | | | | | | | | | | | | |
% 71.48/10.71 | | | | | | | | | | | | | | | | | (1123) (all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 &
% 71.48/10.71 | | | | | | | | | | | | | | | | | all_56_3 = e3) | (all_56_0 = e2 & all_56_1 = e2
% 71.48/10.71 | | | | | | | | | | | | | | | | | & all_56_2 = e2 & all_56_3 = e2)
% 71.48/10.71 | | | | | | | | | | | | | | | | |
% 71.48/10.71 | | | | | | | | | | | | | | | | | BETA: splitting (1123) gives:
% 71.48/10.71 | | | | | | | | | | | | | | | | |
% 71.48/10.71 | | | | | | | | | | | | | | | | | Case 1:
% 71.48/10.71 | | | | | | | | | | | | | | | | | |
% 71.48/10.71 | | | | | | | | | | | | | | | | | | (1124) all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 &
% 71.48/10.71 | | | | | | | | | | | | | | | | | | all_56_3 = e3
% 71.48/10.71 | | | | | | | | | | | | | | | | | |
% 71.48/10.71 | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (17), (18), (141), (163), (268), (269),
% 71.48/10.71 | | | | | | | | | | | | | | | | | | (274), (275), (277), (550), (551), (559), (611),
% 71.48/10.71 | | | | | | | | | | | | | | | | | | (678), (679), (680), (687), (688), (689), (698),
% 71.48/10.71 | | | | | | | | | | | | | | | | | | (715), (717), (748), (749), (754), (756), (758),
% 71.48/10.71 | | | | | | | | | | | | | | | | | | (759), (763), (904), (957), (960), (961), (1119),
% 71.48/10.71 | | | | | | | | | | | | | | | | | | (1124) are inconsistent by sub-proof #47.
% 71.48/10.71 | | | | | | | | | | | | | | | | | |
% 71.48/10.71 | | | | | | | | | | | | | | | | | Case 2:
% 71.48/10.71 | | | | | | | | | | | | | | | | | |
% 71.48/10.71 | | | | | | | | | | | | | | | | | | (1125) all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 &
% 71.48/10.71 | | | | | | | | | | | | | | | | | | all_56_3 = e2
% 71.48/10.71 | | | | | | | | | | | | | | | | | |
% 71.48/10.71 | | | | | | | | | | | | | | | | | | REF_CLOSE: (600), (1121), (1125) are inconsistent by
% 71.48/10.71 | | | | | | | | | | | | | | | | | | sub-proof #68.
% 71.48/10.71 | | | | | | | | | | | | | | | | | |
% 71.48/10.71 | | | | | | | | | | | | | | | | | End of split
% 71.48/10.71 | | | | | | | | | | | | | | | | |
% 71.48/10.71 | | | | | | | | | | | | | | | | Case 2:
% 71.48/10.71 | | | | | | | | | | | | | | | | |
% 71.48/10.71 | | | | | | | | | | | | | | | | | (1126) (all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 &
% 71.48/10.71 | | | | | | | | | | | | | | | | | all_56_3 = e1) | (all_56_0 = e0 & all_56_1 = e0
% 71.48/10.71 | | | | | | | | | | | | | | | | | & all_56_2 = e0 & all_56_3 = e0)
% 71.48/10.71 | | | | | | | | | | | | | | | | |
% 71.48/10.71 | | | | | | | | | | | | | | | | | BETA: splitting (1126) gives:
% 71.48/10.71 | | | | | | | | | | | | | | | | |
% 71.48/10.71 | | | | | | | | | | | | | | | | | Case 1:
% 71.48/10.71 | | | | | | | | | | | | | | | | | |
% 71.48/10.71 | | | | | | | | | | | | | | | | | | (1127) all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 &
% 71.48/10.71 | | | | | | | | | | | | | | | | | | all_56_3 = e1
% 71.48/10.71 | | | | | | | | | | | | | | | | | |
% 71.48/10.71 | | | | | | | | | | | | | | | | | | REF_CLOSE: (559), (1111), (1127) are inconsistent by
% 71.48/10.71 | | | | | | | | | | | | | | | | | | sub-proof #46.
% 71.48/10.71 | | | | | | | | | | | | | | | | | |
% 71.48/10.71 | | | | | | | | | | | | | | | | | Case 2:
% 71.48/10.71 | | | | | | | | | | | | | | | | | |
% 71.48/10.71 | | | | | | | | | | | | | | | | | | (1128) all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 &
% 71.48/10.71 | | | | | | | | | | | | | | | | | | all_56_3 = e0
% 71.48/10.71 | | | | | | | | | | | | | | | | | |
% 71.48/10.71 | | | | | | | | | | | | | | | | | | ALPHA: (1128) implies:
% 71.48/10.71 | | | | | | | | | | | | | | | | | | (1129) all_56_1 = e0
% 71.48/10.71 | | | | | | | | | | | | | | | | | |
% 71.48/10.71 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (600), (1129) imply:
% 71.48/10.71 | | | | | | | | | | | | | | | | | | (1130) all_10_1 = e0
% 71.48/10.71 | | | | | | | | | | | | | | | | | |
% 71.48/10.71 | | | | | | | | | | | | | | | | | | REDUCE: (1107), (1130) imply:
% 71.48/10.71 | | | | | | | | | | | | | | | | | | (1131) $false
% 71.48/10.71 | | | | | | | | | | | | | | | | | |
% 71.48/10.71 | | | | | | | | | | | | | | | | | | CLOSE: (1131) is inconsistent.
% 71.48/10.71 | | | | | | | | | | | | | | | | | |
% 71.48/10.71 | | | | | | | | | | | | | | | | | End of split
% 71.48/10.71 | | | | | | | | | | | | | | | | |
% 71.48/10.71 | | | | | | | | | | | | | | | | End of split
% 71.48/10.71 | | | | | | | | | | | | | | | |
% 71.48/10.71 | | | | | | | | | | | | | | | Case 2:
% 71.48/10.71 | | | | | | | | | | | | | | | |
% 71.48/10.71 | | | | | | | | | | | | | | | | (1132) all_64_9 = e1 | all_64_9 = e0
% 71.48/10.71 | | | | | | | | | | | | | | | |
% 71.48/10.71 | | | | | | | | | | | | | | | | REF_CLOSE: (542), (959), (1109), (1132) are inconsistent by
% 71.48/10.71 | | | | | | | | | | | | | | | | sub-proof #107.
% 71.48/10.71 | | | | | | | | | | | | | | | |
% 71.48/10.71 | | | | | | | | | | | | | | | End of split
% 71.48/10.71 | | | | | | | | | | | | | | |
% 71.48/10.71 | | | | | | | | | | | | | | End of split
% 71.48/10.71 | | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | End of split
% 71.48/10.72 | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | Case 2:
% 71.48/10.72 | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | (1133) all_24_0 = e2
% 71.48/10.72 | | | | | | | | | | | | | (1134) ~ (all_24_1 = e3)
% 71.48/10.72 | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | COMBINE_EQS: (616), (1133) imply:
% 71.48/10.72 | | | | | | | | | | | | | (1135) all_8_0 = e2
% 71.48/10.72 | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | SIMP: (1135) implies:
% 71.48/10.72 | | | | | | | | | | | | | (1136) all_8_0 = e2
% 71.48/10.72 | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | REDUCE: (761), (1136) imply:
% 71.48/10.72 | | | | | | | | | | | | | (1137) ~ (all_36_0 = e2)
% 71.48/10.72 | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | REDUCE: (647), (1134) imply:
% 71.48/10.72 | | | | | | | | | | | | | (1138) ~ (all_8_1 = e3)
% 71.48/10.72 | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | REDUCE: (762), (1136) imply:
% 71.48/10.72 | | | | | | | | | | | | | (1139) ~ (all_22_0 = e2)
% 71.48/10.72 | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | REDUCE: (746), (1136) imply:
% 71.48/10.72 | | | | | | | | | | | | | (1140) ~ (all_10_0 = e2)
% 71.48/10.72 | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | REDUCE: (764), (1136) imply:
% 71.48/10.72 | | | | | | | | | | | | | (1141) ~ (all_8_1 = e2)
% 71.48/10.72 | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | SIMP: (1141) implies:
% 71.48/10.72 | | | | | | | | | | | | | (1142) ~ (all_8_1 = e2)
% 71.48/10.72 | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | REDUCE: (725), (1136) imply:
% 71.48/10.72 | | | | | | | | | | | | | (1143) ~ (all_4_0 = e2)
% 71.48/10.72 | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | REDUCE: (815), (1136) imply:
% 71.48/10.72 | | | | | | | | | | | | | (1144) op(e2, e3) = all_66_44
% 71.48/10.72 | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | REDUCE: (818), (1136) imply:
% 71.48/10.72 | | | | | | | | | | | | | (1145) op(e2, e0) = all_66_47
% 71.48/10.72 | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | REDUCE: (863), (1136) imply:
% 71.48/10.72 | | | | | | | | | | | | | (1146) op(e2, e2) = all_66_27
% 71.48/10.72 | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | BETA: splitting (272) gives:
% 71.48/10.72 | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | Case 1:
% 71.48/10.72 | | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | | (1147) all_64_9 = e3
% 71.48/10.72 | | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | | COMBINE_EQS: (542), (1147) imply:
% 71.48/10.72 | | | | | | | | | | | | | | (1148) all_10_0 = e3
% 71.48/10.72 | | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | | REDUCE: (953), (1148) imply:
% 71.48/10.72 | | | | | | | | | | | | | | (1149) $false
% 71.48/10.72 | | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | | CLOSE: (1149) is inconsistent.
% 71.48/10.72 | | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | Case 2:
% 71.48/10.72 | | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | | (1150) all_64_9 = e2 | all_64_9 = e1 | all_64_9 = e0
% 71.48/10.72 | | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | | BETA: splitting (1150) gives:
% 71.48/10.72 | | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | | Case 1:
% 71.48/10.72 | | | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | | | (1151) all_64_9 = e2
% 71.48/10.72 | | | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | | | COMBINE_EQS: (542), (1151) imply:
% 71.48/10.72 | | | | | | | | | | | | | | | (1152) all_10_0 = e2
% 71.48/10.72 | | | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | | | REDUCE: (1140), (1152) imply:
% 71.48/10.72 | | | | | | | | | | | | | | | (1153) $false
% 71.48/10.72 | | | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | | | CLOSE: (1153) is inconsistent.
% 71.48/10.72 | | | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | | Case 2:
% 71.48/10.72 | | | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | | | (1154) all_64_9 = e1 | all_64_9 = e0
% 71.48/10.72 | | | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | | | BETA: splitting (1154) gives:
% 71.48/10.72 | | | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | | | Case 1:
% 71.48/10.72 | | | | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | | | | (1155) all_64_9 = e1
% 71.48/10.72 | | | | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | | | | COMBINE_EQS: (542), (1155) imply:
% 71.48/10.72 | | | | | | | | | | | | | | | | (1156) all_10_0 = e1
% 71.48/10.72 | | | | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | | | | REDUCE: (739), (1156) imply:
% 71.48/10.72 | | | | | | | | | | | | | | | | (1157) ~ (all_10_1 = e1)
% 71.48/10.72 | | | | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | | | | SIMP: (1157) implies:
% 71.48/10.72 | | | | | | | | | | | | | | | | (1158) ~ (all_10_1 = e1)
% 71.48/10.72 | | | | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | | | | REDUCE: (721), (1156) imply:
% 71.48/10.72 | | | | | | | | | | | | | | | | (1159) ~ (all_4_0 = e1)
% 71.48/10.72 | | | | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | | | | SIMP: (1159) implies:
% 71.48/10.72 | | | | | | | | | | | | | | | | (1160) ~ (all_4_0 = e1)
% 71.48/10.72 | | | | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | | | | REDUCE: (807), (1156) imply:
% 71.48/10.72 | | | | | | | | | | | | | | | | (1161) op(e1, e3) = all_66_36
% 71.48/10.72 | | | | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | | | | REDUCE: (808), (1156) imply:
% 71.48/10.72 | | | | | | | | | | | | | | | | (1162) op(e1, e2) = all_66_37
% 71.48/10.72 | | | | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | | | | REDUCE: (810), (1156) imply:
% 71.48/10.72 | | | | | | | | | | | | | | | | (1163) op(e1, e0) = all_66_39
% 71.48/10.72 | | | | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | | | | REDUCE: (844), (1156) imply:
% 71.48/10.72 | | | | | | | | | | | | | | | | (1164) op(e3, e1) = all_66_9
% 71.48/10.72 | | | | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | | | | REDUCE: (861), (1156) imply:
% 71.48/10.72 | | | | | | | | | | | | | | | | (1165) op(e2, e1) = all_66_25
% 71.48/10.72 | | | | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | | | | REDUCE: (895), (1156) imply:
% 71.48/10.72 | | | | | | | | | | | | | | | | (1166) op(e0, e1) = all_66_67
% 71.48/10.72 | | | | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 71.48/10.72 | | | | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | | | | Case 1:
% 71.48/10.72 | | | | | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | | | | | (1167) (all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 &
% 71.48/10.72 | | | | | | | | | | | | | | | | | all_56_3 = e3) | (all_56_0 = e2 & all_56_1 = e2
% 71.48/10.72 | | | | | | | | | | | | | | | | | & all_56_2 = e2 & all_56_3 = e2)
% 71.48/10.72 | | | | | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | | | | | REF_CLOSE: (679), (1138), (1142), (1167) are inconsistent by
% 71.48/10.72 | | | | | | | | | | | | | | | | | sub-proof #44.
% 71.48/10.72 | | | | | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | | | | Case 2:
% 71.48/10.72 | | | | | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | | | | | (1168) (all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 &
% 71.48/10.72 | | | | | | | | | | | | | | | | | all_56_3 = e1) | (all_56_0 = e0 & all_56_1 = e0
% 71.48/10.72 | | | | | | | | | | | | | | | | | & all_56_2 = e0 & all_56_3 = e0)
% 71.48/10.72 | | | | | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | | | | | BETA: splitting (1168) gives:
% 71.48/10.72 | | | | | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | | | | | Case 1:
% 71.48/10.72 | | | | | | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | | | | | | (1169) all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 &
% 71.48/10.72 | | | | | | | | | | | | | | | | | | all_56_3 = e1
% 71.48/10.72 | | | | | | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | | | | | | REF_CLOSE: (600), (1158), (1169) are inconsistent by
% 71.48/10.72 | | | | | | | | | | | | | | | | | | sub-proof #43.
% 71.48/10.72 | | | | | | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | | | | | Case 2:
% 71.48/10.72 | | | | | | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | | | | | | (1170) all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 &
% 71.48/10.72 | | | | | | | | | | | | | | | | | | all_56_3 = e0
% 71.48/10.72 | | | | | | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | | | | | | ALPHA: (1170) implies:
% 71.48/10.72 | | | | | | | | | | | | | | | | | | (1171) all_56_3 = e0
% 71.48/10.72 | | | | | | | | | | | | | | | | | | (1172) all_56_2 = e0
% 71.48/10.72 | | | | | | | | | | | | | | | | | | (1173) all_56_1 = e0
% 71.48/10.72 | | | | | | | | | | | | | | | | | | (1174) all_56_0 = e0
% 71.48/10.72 | | | | | | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (559), (1174) imply:
% 71.48/10.72 | | | | | | | | | | | | | | | | | | (1175) all_4_1 = e0
% 71.48/10.72 | | | | | | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (600), (1173) imply:
% 71.48/10.72 | | | | | | | | | | | | | | | | | | (1176) all_10_1 = e0
% 71.48/10.72 | | | | | | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (680), (1172) imply:
% 71.48/10.72 | | | | | | | | | | | | | | | | | | (1177) all_12_1 = e0
% 71.48/10.72 | | | | | | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (679), (1171) imply:
% 71.48/10.72 | | | | | | | | | | | | | | | | | | (1178) all_8_1 = e0
% 71.48/10.72 | | | | | | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (677), (1177) imply:
% 71.48/10.72 | | | | | | | | | | | | | | | | | | (1179) all_48_1 = e0
% 71.48/10.72 | | | | | | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | | | | | | REDUCE: (759), (1178) imply:
% 71.48/10.72 | | | | | | | | | | | | | | | | | | (1180) ~ (all_42_0 = e0)
% 71.48/10.72 | | | | | | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | | | | | | REDUCE: (706), (1175) imply:
% 71.48/10.72 | | | | | | | | | | | | | | | | | | (1181) ~ (all_40_0 = e0)
% 71.48/10.72 | | | | | | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | | | | | | REDUCE: (708), (1175) imply:
% 71.48/10.72 | | | | | | | | | | | | | | | | | | (1182) ~ (all_36_0 = e0)
% 71.48/10.72 | | | | | | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | | | | | | REDUCE: (702), (1175) imply:
% 71.48/10.72 | | | | | | | | | | | | | | | | | | (1183) ~ (all_28_0 = e0)
% 71.48/10.72 | | | | | | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | | | | | | REDUCE: (763), (1178) imply:
% 71.48/10.72 | | | | | | | | | | | | | | | | | | (1184) ~ (all_22_0 = e0)
% 71.48/10.72 | | | | | | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | | | | | | REDUCE: (749), (1178) imply:
% 71.48/10.72 | | | | | | | | | | | | | | | | | | (1185) ~ (all_20_0 = e0)
% 71.48/10.72 | | | | | | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | | | | | | REDUCE: (698), (1175) imply:
% 71.48/10.72 | | | | | | | | | | | | | | | | | | (1186) ~ (all_6_0 = e0)
% 71.48/10.72 | | | | | | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | | | | | | REDUCE: (700), (1175) imply:
% 71.48/10.72 | | | | | | | | | | | | | | | | | | (1187) ~ (all_4_0 = e0)
% 71.48/10.72 | | | | | | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | | | | | | REDUCE: (811), (1177) imply:
% 71.48/10.72 | | | | | | | | | | | | | | | | | | (1188) op(e0, e3) = all_66_40
% 71.48/10.72 | | | | | | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | | | | | | REDUCE: (813), (1177) imply:
% 71.48/10.72 | | | | | | | | | | | | | | | | | | (1189) op(e0, e1) = all_66_42
% 71.48/10.72 | | | | | | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | | | | | | REDUCE: (791), (1176) imply:
% 71.48/10.72 | | | | | | | | | | | | | | | | | | (1190) op(e0, e3) = all_66_20
% 71.48/10.72 | | | | | | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | | | | | | REDUCE: (793), (1176) imply:
% 71.48/10.72 | | | | | | | | | | | | | | | | | | (1191) op(e0, e1) = all_66_22
% 71.48/10.72 | | | | | | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | | | | | | REDUCE: (831), (1178) imply:
% 71.48/10.72 | | | | | | | | | | | | | | | | | | (1192) op(e0, e3) = all_66_73
% 71.48/10.72 | | | | | | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | | | | | | REDUCE: (833), (1178) imply:
% 71.48/10.72 | | | | | | | | | | | | | | | | | | (1193) op(e0, e1) = all_66_77
% 71.48/10.72 | | | | | | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | | | | | | REDUCE: (772), (1175) imply:
% 71.48/10.72 | | | | | | | | | | | | | | | | | | (1194) op(e0, e2) = all_66_1
% 71.48/10.72 | | | | | | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | | | | | | REDUCE: (840), (1176) imply:
% 71.48/10.72 | | | | | | | | | | | | | | | | | | (1195) op(e3, e0) = all_66_5
% 71.48/10.72 | | | | | | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | | | | | | REDUCE: (835), (1175) imply:
% 71.48/10.72 | | | | | | | | | | | | | | | | | | (1196) op(e3, e0) = all_66_0
% 71.48/10.72 | | | | | | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | | | | | | REDUCE: (852), (1175) imply:
% 71.48/10.72 | | | | | | | | | | | | | | | | | | (1197) op(e2, e0) = all_66_16
% 71.48/10.72 | | | | | | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | | | | | | REDUCE: (879), (1177) imply:
% 71.48/10.72 | | | | | | | | | | | | | | | | | | (1198) op(e1, e0) = all_66_42
% 71.48/10.72 | | | | | | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | | | | | | REDUCE: (874), (1176) imply:
% 71.48/10.72 | | | | | | | | | | | | | | | | | | (1199) op(e1, e0) = all_66_37
% 71.48/10.72 | | | | | | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | | | | | | REDUCE: (884), (1178) imply:
% 71.48/10.72 | | | | | | | | | | | | | | | | | | (1200) op(e1, e0) = all_66_47
% 71.48/10.72 | | | | | | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | | | | | | REDUCE: (869), (1175) imply:
% 71.48/10.72 | | | | | | | | | | | | | | | | | | (1201) op(e1, e0) = all_66_32
% 71.48/10.72 | | | | | | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | | | | | | REDUCE: (891), (1176) imply:
% 71.48/10.72 | | | | | | | | | | | | | | | | | | (1202) op(e0, e0) = all_66_59
% 71.48/10.72 | | | | | | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | | | | | | REDUCE: (901), (1178) imply:
% 71.48/10.72 | | | | | | | | | | | | | | | | | | (1203) op(e0, e0) = all_66_78
% 71.48/10.72 | | | | | | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | | | | | | REDUCE: (55), (1178) imply:
% 71.48/10.72 | | | | | | | | | | | | | | | | | | (1204) op(e0, e0) = e0
% 71.48/10.72 | | | | | | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | | | | | | BETA: splitting (137) gives:
% 71.48/10.72 | | | | | | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | | | | | | Case 1:
% 71.48/10.72 | | | | | | | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | | | | | | | (1205) ~ (all_48_0 = e2)
% 71.48/10.72 | | | | | | | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | | | | | | | REDUCE: (605), (1205) imply:
% 71.48/10.72 | | | | | | | | | | | | | | | | | | | (1206) ~ (all_40_0 = e2)
% 71.48/10.72 | | | | | | | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | | | | | | | BETA: splitting (274) gives:
% 71.48/10.72 | | | | | | | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | | | | | | | Case 1:
% 71.48/10.72 | | | | | | | | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | | | | | | | | (1207) all_64_7 = e3
% 71.48/10.72 | | | | | | | | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (687), (1207) imply:
% 71.48/10.72 | | | | | | | | | | | | | | | | | | | | (1208) all_22_0 = e3
% 71.48/10.72 | | | | | | | | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | | | | | | | | REDUCE: (760), (1208) imply:
% 71.48/10.72 | | | | | | | | | | | | | | | | | | | | (1209) ~ (all_36_0 = e3)
% 71.48/10.72 | | | | | | | | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | | | | | | | | REDUCE: (717), (1208) imply:
% 71.48/10.72 | | | | | | | | | | | | | | | | | | | | (1210) ~ (all_6_0 = e3)
% 71.48/10.72 | | | | | | | | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | | | | | | | | SIMP: (1210) implies:
% 71.48/10.72 | | | | | | | | | | | | | | | | | | | | (1211) ~ (all_6_0 = e3)
% 71.48/10.72 | | | | | | | | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | | | | | | | | REDUCE: (799), (1208) imply:
% 71.48/10.72 | | | | | | | | | | | | | | | | | | | | (1212) op(e3, e3) = all_66_28
% 71.48/10.72 | | | | | | | | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | | | | | | | | REDUCE: (800), (1208) imply:
% 71.48/10.72 | | | | | | | | | | | | | | | | | | | | (1213) op(e3, e2) = all_66_29
% 71.48/10.72 | | | | | | | | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | | | | | | | | REDUCE: (842), (1208) imply:
% 71.48/10.72 | | | | | | | | | | | | | | | | | | | | (1214) op(e3, e3) = all_66_7
% 71.48/10.72 | | | | | | | | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | | | | | | | | BETA: splitting (278) gives:
% 71.48/10.72 | | | | | | | | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.48/10.72 | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | | | | | | | | | (1215) all_64_3 = e3
% 71.48/10.72 | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (529), (1215) imply:
% 71.48/10.72 | | | | | | | | | | | | | | | | | | | | | (1216) all_36_0 = e3
% 71.48/10.72 | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | | | | | | | | | REDUCE: (1209), (1216) imply:
% 71.48/10.72 | | | | | | | | | | | | | | | | | | | | | (1217) $false
% 71.48/10.72 | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | | | | | | | | | CLOSE: (1217) is inconsistent.
% 71.48/10.72 | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.48/10.72 | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | | | | | | | | | (1218) all_64_3 = e2 | all_64_3 = e1 | all_64_3 = e0
% 71.48/10.72 | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1218) gives:
% 71.48/10.72 | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.72 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.48/10.72 | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | (1219) all_64_3 = e2
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (529), (1219) imply:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | (1220) all_36_0 = e2
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1137), (1220) imply:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | (1221) $false
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1221) is inconsistent.
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | (1222) all_64_3 = e1 | all_64_3 = e0
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1222) gives:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | (1223) all_64_3 = e1
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (529), (1223) imply:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | (1224) all_36_0 = e1
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (753), (1224) imply:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | (1225) ~ (all_40_0 = e1)
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (737), (1224) imply:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | (1226) ~ (all_14_0 = e1)
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1226) implies:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | (1227) ~ (all_14_0 = e1)
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (783), (1224) imply:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | (1228) op(e1, e3) = all_66_12
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (785), (1224) imply:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | (1229) op(e1, e1) = all_66_14
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (889), (1224) imply:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | (1230) op(e0, e1) = all_66_55
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (277) gives:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | (1231) all_64_4 = e3
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (689), (1231) imply:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | (1232) all_6_0 = e3
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1211), (1232) imply:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | (1233) $false
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1233) is inconsistent.
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | (1234) all_64_4 = e2 | all_64_4 = e1 | all_64_4 = e0
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (273) gives:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | (1235) all_64_8 = e3
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (686), (1235) imply:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | (1236) all_4_0 = e3
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (719), (1236) imply:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | (1237) ~ (all_28_0 = e3)
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (803), (1236) imply:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | (1238) op(e3, e3) = all_66_32
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (804), (1236) imply:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | (1239) op(e3, e2) = all_66_33
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (806), (1236) imply:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | (1240) op(e3, e0) = all_66_35
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (877), (1236) imply:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | (1241) op(e1, e3) = all_66_40
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (894), (1236) imply:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | (1242) op(e0, e3) = all_66_65
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (279) gives:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | (1243) all_64_2 = e3
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (1243) imply:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | (1244) all_40_0 = e3
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (752), (1244) imply:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | (1245) ~ (all_42_0 = e3)
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (735), (1244) imply:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | (1246) ~ (all_14_0 = e3)
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1246) implies:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | (1247) ~ (all_14_0 = e3)
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (750), (1244) imply:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | (1248) ~ (all_12_0 = e3)
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (779), (1244) imply:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | (1249) op(e3, e3) = all_66_8
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (780), (1244) imply:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | (1250) op(e3, e2) = all_66_9
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (871), (1244) imply:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | (1251) op(e1, e3) = all_66_34
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1234) gives:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1252) all_64_4 = e2
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (689), (1252) imply:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1253) all_6_0 = e2
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (711), (1253) imply:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1254) ~ (all_28_0 = e2)
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (1253) imply:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1255) ~ (all_12_0 = e2)
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (787), (1253) imply:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1256) op(e2, e3) = all_66_16
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (790), (1253) imply:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1257) op(e2, e0) = all_66_19
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (839), (1253) imply:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1258) op(e3, e2) = all_66_4
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (856), (1253) imply:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1259) op(e2, e2) = all_66_20
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (873), (1253) imply:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1260) op(e1, e2) = all_66_36
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (280) gives:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1261) all_64_1 = e3
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (525), (1261) imply:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1262) all_14_0 = e3
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1247), (1262) imply:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1263) $false
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1263) is inconsistent.
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1264) all_64_1 = e2 | all_64_1 = e1 | all_64_1 = e0
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (270) gives:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1265) all_64_12 = e3
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (684), (1237), (1265) are inconsistent by
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #86.
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1266) all_64_12 = e2 | all_64_12 = e1 | all_64_12 = e0
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1266) gives:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1267) all_64_12 = e2
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (684), (1254), (1267) are inconsistent by
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #42.
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1268) all_64_12 = e1 | all_64_12 = e0
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1268) gives:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1269) all_64_12 = e1
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (684), (1269) imply:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1270) all_28_0 = e1
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1270) implies:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1271) all_28_0 = e1
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (726), (1271) imply:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1272) ~ (all_20_0 = e1)
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (819), (1271) imply:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1273) op(e1, e3) = all_66_49
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (822), (1271) imply:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1274) op(e1, e0) = all_66_55
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (847), (1271) imply:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1275) op(e3, e1) = all_66_12
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (881), (1271) imply:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1276) op(e1, e1) = all_66_44
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (275) gives:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1277) all_64_6 = e3
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (688), (954), (1277) are inconsistent by sub-proof
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #95.
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1278) all_64_6 = e2 | all_64_6 = e1 | all_64_6 = e0
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1278) gives:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1279) all_64_6 = e2
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (688), (1255), (1279) are inconsistent by
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #41.
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1280) all_64_6 = e1 | all_64_6 = e0
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (268) gives:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1281) all_64_14 = e3
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (551), (1245), (1281) are inconsistent by
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #59.
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1282) all_64_14 = e2 | all_64_14 = e1 | all_64_14 = e0
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1264) gives:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1283) all_64_1 = e2
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (525), (1283) imply:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1284) all_14_0 = e2
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (776), (1284) imply:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1285) op(e2, e2) = all_66_5
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (778), (1284) imply:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1286) op(e2, e0) = all_66_7
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (836), (1284) imply:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1287) op(e3, e2) = all_66_1
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (853), (1284) imply:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1288) op(e2, e2) = all_66_17
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (870), (1284) imply:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1289) op(e1, e2) = all_66_33
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1282) gives:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1290) all_64_14 = e2
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (551), (1290) imply:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1291) all_42_0 = e2
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1291) implies:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1292) all_42_0 = e2
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (748), (1292) imply:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1293) ~ (all_20_0 = e2)
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1293) implies:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1294) ~ (all_20_0 = e2)
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (827), (1292) imply:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1295) op(e2, e3) = all_66_65
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (828), (1292) imply:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1296) op(e2, e2) = all_66_67
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (829), (1292) imply:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1297) op(e2, e1) = all_66_69
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (830), (1292) imply:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1298) op(e2, e0) = all_66_71
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (849), (1292) imply:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1299) op(e3, e2) = all_66_14
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (1292) imply:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1300) op(e0, e1) = e2
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1280) gives:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1301) all_64_6 = e1
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (688), (1301) imply:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1302) all_12_0 = e1
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1302) implies:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1303) all_12_0 = e1
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (957), (1303) imply:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1304) ~ (e1 = e0)
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (795), (1303) imply:
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1305) op(e1, e3) = all_66_24
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (796), (1303) imply:
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1306) op(e1, e2) = all_66_25
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (797), (1303) imply:
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1307) op(e1, e1) = all_66_26
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (798), (1303) imply:
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1308) op(e1, e0) = all_66_27
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (858), (1303) imply:
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1309) op(e2, e1) = all_66_22
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (64), (1303) imply:
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1310) op(e2, e1) = e1
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (875), (1303) imply:
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1311) op(e1, e1) = all_66_38
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (892), (1303) imply:
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1312) op(e0, e1) = all_66_61
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (269) gives:
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1313) all_64_13 = e3
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (550), (1313) imply:
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1314) all_20_0 = e3
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1314) implies:
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1315) all_20_0 = e3
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (824), (1315) imply:
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1316) op(e3, e2) = all_66_59
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (899), (1315) imply:
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1317) op(e0, e3) = all_66_75
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (79), (1315) imply:
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1318) op(e0, e2) = e3
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with e0, all_66_78, e0, e0,
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1203), (1204) gives:
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1319) all_66_78 = e0
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_78, all_66_59, e0,
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (1202), (1203) gives:
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1320) all_66_59 = all_66_78
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with e2, all_66_77, e1, e0,
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1193), (1300) gives:
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1321) all_66_77 = e2
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_67, all_66_61, e1,
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (1166), (1312) gives:
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1322) all_66_61 = all_66_67
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_77, all_66_55, e1,
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (1193), (1230) gives:
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1323) all_66_55 = all_66_77
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_61, all_66_42, e1,
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (1189), (1312) gives:
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1324) all_66_42 = all_66_61
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_67, all_66_22, e1,
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (1166), (1191) gives:
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1325) all_66_22 = all_66_67
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with e3, all_66_1, e2, e0,
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1194), (1318) gives:
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1326) all_66_1 = e3
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_73, all_66_65, e3,
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (1192), (1242) gives:
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1327) all_66_65 = all_66_73
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_40, all_66_20, e3,
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (1188), (1190) gives:
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1328) all_66_20 = all_66_40
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_75, all_66_20, e3,
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (1190), (1317) gives:
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1329) all_66_20 = all_66_75
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_55, all_66_47, e0,
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (1200), (1274) gives:
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1330) all_66_47 = all_66_55
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_47, all_66_39, e0,
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (1163), (1200) gives:
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1331) all_66_39 = all_66_47
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_39, all_66_37, e0,
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (1163), (1199) gives:
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1332) all_66_37 = all_66_39
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_32, all_66_27, e0,
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (1201), (1308) gives:
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1333) all_66_27 = all_66_32
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_42, all_66_27, e0,
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (1198), (1308) gives:
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1334) all_66_27 = all_66_42
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_44, all_66_38, e1,
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (1276), (1311) gives:
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1335) all_66_38 = all_66_44
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_38, all_66_26, e1,
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (1307), (1311) gives:
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1336) all_66_26 = all_66_38
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_26, all_66_14, e1,
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (1229), (1307) gives:
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1337) all_66_14 = all_66_26
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_36, all_66_33, e2,
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (1260), (1289) gives:
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1338) all_66_33 = all_66_36
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_37, all_66_25, e2,
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (1162), (1306) gives:
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1339) all_66_25 = all_66_37
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_40, all_66_36, e3,
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (1161), (1241) gives:
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1340) all_66_36 = all_66_40
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_34, all_66_24, e3,
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (1251), (1305) gives:
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1341) all_66_24 = all_66_34
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_49, all_66_24, e3,
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (1273), (1305) gives:
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1342) all_66_24 = all_66_49
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_24, all_66_12, e3,
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (1228), (1305) gives:
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1343) all_66_12 = all_66_24
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_47, all_66_16, e0,
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (1145), (1197) gives:
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1344) all_66_16 = all_66_47
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_19, all_66_7, e0,
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (1257), (1286) gives:
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1345) all_66_7 = all_66_19
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_71, all_66_7, e0,
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (1286), (1298) gives:
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1346) all_66_7 = all_66_71
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_69, all_66_25, e1,
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (1165), (1297) gives:
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1347) all_66_25 = all_66_69
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with e1, all_66_22, e1, e2,
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1309), (1310) gives:
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1348) all_66_22 = e1
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_67, all_66_20, e2,
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (1259), (1296) gives:
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1349) all_66_20 = all_66_67
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_27, all_66_17, e2,
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (1146), (1288) gives:
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1350) all_66_17 = all_66_27
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_17, all_66_5, e2,
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (1285), (1288) gives:
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1351) all_66_5 = all_66_17
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_65, all_66_44, e3,
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (1144), (1295) gives:
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1352) all_66_44 = all_66_65
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_44, all_66_16, e3,
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (1144), (1256) gives:
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1353) all_66_16 = all_66_44
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_5, all_66_0, e0,
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (1195), (1196) gives:
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1354) all_66_0 = all_66_5
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_35, all_66_0, e0,
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (1196), (1240) gives:
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1355) all_66_0 = all_66_35
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_12, all_66_9, e1,
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (1164), (1275) gives:
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1356) all_66_9 = all_66_12
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_59, all_66_33, e2,
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (1239), (1316) gives:
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1357) all_66_33 = all_66_59
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_33, all_66_14, e2,
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (1239), (1299) gives:
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1358) all_66_14 = all_66_33
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_14, all_66_9, e2,
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (1250), (1299) gives:
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1359) all_66_9 = all_66_14
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_9, all_66_4, e2,
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (1250), (1258) gives:
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1360) all_66_4 = all_66_9
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_29, all_66_4, e2,
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (1213), (1258) gives:
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1361) all_66_4 = all_66_29
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_59, all_66_1, e2,
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (1287), (1316) gives:
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1362) all_66_1 = all_66_59
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_28, all_66_8, e3,
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (1212), (1249) gives:
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1363) all_66_8 = all_66_28
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_32, all_66_8, e3,
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (1238), (1249) gives:
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1364) all_66_8 = all_66_32
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_28, all_66_7, e3,
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (1212), (1214) gives:
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1365) all_66_7 = all_66_28
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1354), (1355) imply:
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1366) all_66_5 = all_66_35
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1366) implies:
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1367) all_66_5 = all_66_35
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1326), (1362) imply:
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1368) all_66_59 = e3
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1368) implies:
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1369) all_66_59 = e3
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1360), (1361) imply:
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1370) all_66_9 = all_66_29
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1370) implies:
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1371) all_66_9 = all_66_29
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1351), (1367) imply:
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1372) all_66_17 = all_66_35
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1372) implies:
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1373) all_66_17 = all_66_35
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1345), (1365) imply:
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1374) all_66_19 = all_66_28
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1345), (1346) imply:
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1375) all_66_19 = all_66_71
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1363), (1364) imply:
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1376) all_66_28 = all_66_32
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1376) implies:
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1377) all_66_28 = all_66_32
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1356), (1371) imply:
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1378) all_66_12 = all_66_29
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1378) implies:
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1379) all_66_12 = all_66_29
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1359), (1371) imply:
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1380) all_66_14 = all_66_29
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1380) implies:
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1381) all_66_14 = all_66_29
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1343), (1379) imply:
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1382) all_66_24 = all_66_29
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1382) implies:
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1383) all_66_24 = all_66_29
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1358), (1381) imply:
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1384) all_66_29 = all_66_33
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1337), (1381) imply:
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1385) all_66_26 = all_66_29
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1385) implies:
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1386) all_66_26 = all_66_29
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1344), (1353) imply:
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1387) all_66_44 = all_66_47
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1387) implies:
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1388) all_66_44 = all_66_47
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1350), (1373) imply:
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1389) all_66_27 = all_66_35
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1389) implies:
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1390) all_66_27 = all_66_35
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1374), (1375) imply:
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1391) all_66_28 = all_66_71
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1391) implies:
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1392) all_66_28 = all_66_71
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1328), (1329) imply:
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1393) all_66_40 = all_66_75
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1393) implies:
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1394) all_66_40 = all_66_75
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1329), (1349) imply:
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1395) all_66_67 = all_66_75
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1395) implies:
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1396) all_66_67 = all_66_75
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1325), (1348) imply:
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1397) all_66_67 = e1
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1397) implies:
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1398) all_66_67 = e1
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1342), (1383) imply:
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1399) all_66_29 = all_66_49
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1341), (1383) imply:
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1400) all_66_29 = all_66_34
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1339), (1347) imply:
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1401) all_66_37 = all_66_69
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1401) implies:
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1402) all_66_37 = all_66_69
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1336), (1386) imply:
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1403) all_66_29 = all_66_38
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1333), (1390) imply:
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1404) all_66_32 = all_66_35
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1404) implies:
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1405) all_66_32 = all_66_35
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1334), (1390) imply:
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1406) all_66_35 = all_66_42
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1377), (1392) imply:
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1407) all_66_32 = all_66_71
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1407) implies:
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1408) all_66_32 = all_66_71
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1400), (1403) imply:
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1409) all_66_34 = all_66_38
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1399), (1400) imply:
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1410) all_66_34 = all_66_49
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1384), (1400) imply:
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1411) all_66_33 = all_66_34
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1411) implies:
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1412) all_66_33 = all_66_34
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1405), (1408) imply:
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1413) all_66_35 = all_66_71
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1413) implies:
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1414) all_66_35 = all_66_71
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1357), (1412) imply:
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1415) all_66_34 = all_66_59
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1338), (1412) imply:
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1416) all_66_34 = all_66_36
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1410), (1415) imply:
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1417) all_66_49 = all_66_59
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1409), (1410) imply:
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1418) all_66_38 = all_66_49
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1418) implies:
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1419) all_66_38 = all_66_49
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1410), (1416) imply:
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1420) all_66_36 = all_66_49
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1420) implies:
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1421) all_66_36 = all_66_49
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1406), (1414) imply:
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1422) all_66_42 = all_66_71
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1422) implies:
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1423) all_66_42 = all_66_71
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1340), (1421) imply:
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1424) all_66_40 = all_66_49
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1424) implies:
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1425) all_66_40 = all_66_49
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1332), (1402) imply:
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1426) all_66_39 = all_66_69
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1426) implies:
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1427) all_66_39 = all_66_69
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1335), (1419) imply:
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1428) all_66_44 = all_66_49
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1428) implies:
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1429) all_66_44 = all_66_49
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1331), (1427) imply:
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1430) all_66_47 = all_66_69
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1430) implies:
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1431) all_66_47 = all_66_69
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1394), (1425) imply:
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1432) all_66_49 = all_66_75
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1324), (1423) imply:
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1433) all_66_61 = all_66_71
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1433) implies:
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1434) all_66_61 = all_66_71
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1352), (1429) imply:
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1435) all_66_49 = all_66_65
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1388), (1429) imply:
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1436) all_66_47 = all_66_49
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1436) implies:
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1437) all_66_47 = all_66_49
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1330), (1431) imply:
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1438) all_66_55 = all_66_69
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1438) implies:
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1439) all_66_55 = all_66_69
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1431), (1437) imply:
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1440) all_66_49 = all_66_69
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1440) implies:
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1441) all_66_49 = all_66_69
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1435), (1441) imply:
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1442) all_66_65 = all_66_69
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1442) implies:
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1443) all_66_65 = all_66_69
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1432), (1441) imply:
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1444) all_66_69 = all_66_75
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1417), (1441) imply:
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1445) all_66_59 = all_66_69
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1445) implies:
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1446) all_66_59 = all_66_69
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1323), (1439) imply:
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1447) all_66_69 = all_66_77
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1320), (1446) imply:
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1448) all_66_69 = all_66_78
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1369), (1446) imply:
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1449) all_66_69 = e3
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1322), (1434) imply:
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1450) all_66_67 = all_66_71
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1450) implies:
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1451) all_66_67 = all_66_71
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1327), (1443) imply:
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1452) all_66_69 = all_66_73
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1452) implies:
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1453) all_66_69 = all_66_73
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1396), (1451) imply:
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1454) all_66_71 = all_66_75
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1398), (1451) imply:
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1455) all_66_71 = e1
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1447), (1453) imply:
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1456) all_66_73 = all_66_77
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1448), (1453) imply:
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1457) all_66_73 = all_66_78
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1444), (1453) imply:
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1458) all_66_73 = all_66_75
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1449), (1453) imply:
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1459) all_66_73 = e3
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1454), (1455) imply:
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1460) all_66_75 = e1
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1460) implies:
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1461) all_66_75 = e1
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1456), (1459) imply:
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1462) all_66_77 = e3
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1462) implies:
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1463) all_66_77 = e3
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1457), (1459) imply:
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1464) all_66_78 = e3
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1464) implies:
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1465) all_66_78 = e3
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1458), (1459) imply:
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1466) all_66_75 = e3
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1466) implies:
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1467) all_66_75 = e3
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1461), (1467) imply:
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1468) e3 = e1
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1468) implies:
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1469) e3 = e1
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1321), (1463) imply:
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1470) e3 = e2
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1470) implies:
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1471) e3 = e2
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1319), (1465) imply:
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1472) e3 = e0
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1304), (1469), (1471), (1472) are inconsistent by
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #40.
% 71.48/10.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.48/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1473) all_64_13 = e2 | all_64_13 = e1 | all_64_13 = e0
% 71.48/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (550), (960), (1185), (1294), (1473) are
% 71.48/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #38.
% 71.48/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.48/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.48/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1474) all_64_6 = e0
% 71.48/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (688), (957), (1474) are inconsistent by sub-proof
% 71.48/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #37.
% 71.48/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.48/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.48/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1475) all_64_14 = e1 | all_64_14 = e0
% 71.48/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (551), (684), (728), (1180), (1183), (1268),
% 71.48/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1475) are inconsistent by sub-proof #57.
% 71.48/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.48/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.48/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1476) all_64_1 = e1 | all_64_1 = e0
% 71.48/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (525), (955), (1227), (1476) are inconsistent by
% 71.48/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #70.
% 71.48/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.48/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.48/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.48/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.48/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.48/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1477) all_64_12 = e0
% 71.48/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (684), (1183), (1477) are inconsistent by
% 71.48/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #36.
% 71.48/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.48/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.48/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.48/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.48/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.48/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1478) all_64_4 = e1 | all_64_4 = e0
% 71.48/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (689), (904), (1186), (1478) are inconsistent by
% 71.48/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #98.
% 71.48/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.48/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.48/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (1479) all_64_2 = e2 | all_64_2 = e1 | all_64_2 = e0
% 71.48/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1479) gives:
% 71.48/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.48/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1480) all_64_2 = e2
% 71.48/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (1480) imply:
% 71.48/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1481) all_40_0 = e2
% 71.48/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1206), (1481) imply:
% 71.48/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1482) $false
% 71.48/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1482) is inconsistent.
% 71.48/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.48/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1483) all_64_2 = e1 | all_64_2 = e0
% 71.48/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (494), (1181), (1225), (1483) are inconsistent by
% 71.48/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #35.
% 71.48/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.48/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.48/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.48/10.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.75/10.76 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.75/10.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.75/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | (1484) all_64_8 = e2 | all_64_8 = e1 | all_64_8 = e0
% 71.75/10.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.75/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (686), (903), (1160), (1187), (1484) are
% 71.75/10.76 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #82.
% 71.75/10.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 71.75/10.76 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.75/10.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 71.75/10.76 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.75/10.76 | | | | | | | | | | | | | | | | | | | | | | |
% 71.75/10.76 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.75/10.76 | | | | | | | | | | | | | | | | | | | | | | |
% 71.75/10.76 | | | | | | | | | | | | | | | | | | | | | | | (1485) all_64_3 = e0
% 71.75/10.76 | | | | | | | | | | | | | | | | | | | | | | |
% 71.75/10.76 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (529), (1485) imply:
% 71.75/10.76 | | | | | | | | | | | | | | | | | | | | | | | (1486) all_36_0 = e0
% 71.75/10.76 | | | | | | | | | | | | | | | | | | | | | | |
% 71.75/10.76 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1182), (1486) imply:
% 71.75/10.76 | | | | | | | | | | | | | | | | | | | | | | | (1487) $false
% 71.75/10.76 | | | | | | | | | | | | | | | | | | | | | | |
% 71.75/10.76 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1487) is inconsistent.
% 71.75/10.76 | | | | | | | | | | | | | | | | | | | | | | |
% 71.75/10.76 | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.75/10.76 | | | | | | | | | | | | | | | | | | | | | |
% 71.75/10.76 | | | | | | | | | | | | | | | | | | | | | End of split
% 71.75/10.76 | | | | | | | | | | | | | | | | | | | | |
% 71.75/10.76 | | | | | | | | | | | | | | | | | | | | End of split
% 71.75/10.76 | | | | | | | | | | | | | | | | | | | |
% 71.75/10.76 | | | | | | | | | | | | | | | | | | | Case 2:
% 71.75/10.76 | | | | | | | | | | | | | | | | | | | |
% 71.75/10.76 | | | | | | | | | | | | | | | | | | | | (1488) all_64_7 = e2 | all_64_7 = e1 | all_64_7 = e0
% 71.75/10.76 | | | | | | | | | | | | | | | | | | | |
% 71.75/10.76 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (687), (961), (1139), (1184), (1488) are
% 71.75/10.76 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #34.
% 71.75/10.76 | | | | | | | | | | | | | | | | | | | |
% 71.75/10.76 | | | | | | | | | | | | | | | | | | | End of split
% 71.75/10.76 | | | | | | | | | | | | | | | | | | |
% 71.75/10.76 | | | | | | | | | | | | | | | | | | Case 2:
% 71.75/10.76 | | | | | | | | | | | | | | | | | | |
% 71.75/10.76 | | | | | | | | | | | | | | | | | | | (1489) ~ (all_48_1 = e0)
% 71.75/10.76 | | | | | | | | | | | | | | | | | | |
% 71.75/10.76 | | | | | | | | | | | | | | | | | | | REDUCE: (1179), (1489) imply:
% 71.75/10.76 | | | | | | | | | | | | | | | | | | | (1490) $false
% 71.75/10.76 | | | | | | | | | | | | | | | | | | |
% 71.75/10.76 | | | | | | | | | | | | | | | | | | | CLOSE: (1490) is inconsistent.
% 71.75/10.76 | | | | | | | | | | | | | | | | | | |
% 71.75/10.76 | | | | | | | | | | | | | | | | | | End of split
% 71.75/10.76 | | | | | | | | | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | | | | | | | | End of split
% 71.75/10.77 | | | | | | | | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | | | | | | | End of split
% 71.75/10.77 | | | | | | | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | | | | | | Case 2:
% 71.75/10.77 | | | | | | | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | | | | | | | (1491) all_64_9 = e0
% 71.75/10.77 | | | | | | | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | | | | | | | COMBINE_EQS: (542), (1491) imply:
% 71.75/10.77 | | | | | | | | | | | | | | | | (1492) all_10_0 = e0
% 71.75/10.77 | | | | | | | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | | | | | | | REDUCE: (959), (1492) imply:
% 71.75/10.77 | | | | | | | | | | | | | | | | (1493) $false
% 71.75/10.77 | | | | | | | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | | | | | | | CLOSE: (1493) is inconsistent.
% 71.75/10.77 | | | | | | | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | | | | | | End of split
% 71.75/10.77 | | | | | | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | | | | | End of split
% 71.75/10.77 | | | | | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | | | | End of split
% 71.75/10.77 | | | | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | | | End of split
% 71.75/10.77 | | | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | | Case 2:
% 71.75/10.77 | | | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | | | (1494) all_22_0 = e1
% 71.75/10.77 | | | | | | | | | | | | (1495) ~ (all_22_1 = e3)
% 71.75/10.77 | | | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | | | REDUCE: (758), (1494) imply:
% 71.75/10.77 | | | | | | | | | | | | (1496) ~ (all_12_0 = e1)
% 71.75/10.77 | | | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | | | SIMP: (1496) implies:
% 71.75/10.77 | | | | | | | | | | | | (1497) ~ (all_12_0 = e1)
% 71.75/10.77 | | | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | | | REDUCE: (762), (1494) imply:
% 71.75/10.77 | | | | | | | | | | | | (1498) ~ (all_8_0 = e1)
% 71.75/10.77 | | | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | | | SIMP: (1498) implies:
% 71.75/10.77 | | | | | | | | | | | | (1499) ~ (all_8_0 = e1)
% 71.75/10.77 | | | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | | | REDUCE: (763), (1494) imply:
% 71.75/10.77 | | | | | | | | | | | | (1500) ~ (all_8_1 = e1)
% 71.75/10.77 | | | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | | | SIMP: (1500) implies:
% 71.75/10.77 | | | | | | | | | | | | (1501) ~ (all_8_1 = e1)
% 71.75/10.77 | | | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | | | REDUCE: (717), (1494) imply:
% 71.75/10.77 | | | | | | | | | | | | (1502) ~ (all_6_0 = e1)
% 71.75/10.77 | | | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | | | REDUCE: (667), (1495) imply:
% 71.75/10.77 | | | | | | | | | | | | (1503) ~ (all_8_1 = e3)
% 71.75/10.77 | | | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | | | REF_CLOSE: (163), (271), (272), (273), (275), (277), (542),
% 71.75/10.77 | | | | | | | | | | | | (546), (559), (600), (679), (686), (688), (689),
% 71.75/10.77 | | | | | | | | | | | | (698), (700), (709), (715), (721), (725), (739),
% 71.75/10.77 | | | | | | | | | | | | (741), (746), (764), (904), (905), (953), (954),
% 71.75/10.77 | | | | | | | | | | | | (957), (1497), (1499), (1501), (1503) are
% 71.75/10.77 | | | | | | | | | | | | inconsistent by sub-proof #33.
% 71.75/10.77 | | | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | | End of split
% 71.75/10.77 | | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | Case 2:
% 71.75/10.77 | | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | | (1504) all_20_0 = e1
% 71.75/10.77 | | | | | | | | | | | (1505) ~ (all_20_1 = e3)
% 71.75/10.77 | | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | | REDUCE: (726), (1504) imply:
% 71.75/10.77 | | | | | | | | | | | (1506) ~ (all_28_0 = e1)
% 71.75/10.77 | | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | | REDUCE: (745), (1504) imply:
% 71.75/10.77 | | | | | | | | | | | (1507) ~ (all_10_0 = e1)
% 71.75/10.77 | | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | | SIMP: (1507) implies:
% 71.75/10.77 | | | | | | | | | | | (1508) ~ (all_10_0 = e1)
% 71.75/10.77 | | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | | REDUCE: (749), (1504) imply:
% 71.75/10.77 | | | | | | | | | | | (1509) ~ (all_8_1 = e1)
% 71.75/10.77 | | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | | SIMP: (1509) implies:
% 71.75/10.77 | | | | | | | | | | | (1510) ~ (all_8_1 = e1)
% 71.75/10.77 | | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | | REDUCE: (646), (1505) imply:
% 71.75/10.77 | | | | | | | | | | | (1511) ~ (all_10_1 = e3)
% 71.75/10.77 | | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | | BETA: splitting (272) gives:
% 71.75/10.77 | | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | | Case 1:
% 71.75/10.77 | | | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | | | (1512) all_64_9 = e3
% 71.75/10.77 | | | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | | | COMBINE_EQS: (542), (1512) imply:
% 71.75/10.77 | | | | | | | | | | | | (1513) all_10_0 = e3
% 71.75/10.77 | | | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | | | REDUCE: (953), (1513) imply:
% 71.75/10.77 | | | | | | | | | | | | (1514) $false
% 71.75/10.77 | | | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | | | CLOSE: (1514) is inconsistent.
% 71.75/10.77 | | | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | | Case 2:
% 71.75/10.77 | | | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | | | (1515) all_64_9 = e2 | all_64_9 = e1 | all_64_9 = e0
% 71.75/10.77 | | | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | | | BETA: splitting (1515) gives:
% 71.75/10.77 | | | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | | | Case 1:
% 71.75/10.77 | | | | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | | | | (1516) all_64_9 = e2
% 71.75/10.77 | | | | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | | | | COMBINE_EQS: (542), (1516) imply:
% 71.75/10.77 | | | | | | | | | | | | | (1517) all_10_0 = e2
% 71.75/10.77 | | | | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | | | | REDUCE: (739), (1517) imply:
% 71.75/10.77 | | | | | | | | | | | | | (1518) ~ (all_10_1 = e2)
% 71.75/10.77 | | | | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | | | | SIMP: (1518) implies:
% 71.75/10.77 | | | | | | | | | | | | | (1519) ~ (all_10_1 = e2)
% 71.75/10.77 | | | | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | | | | REDUCE: (746), (1517) imply:
% 71.75/10.77 | | | | | | | | | | | | | (1520) ~ (all_8_0 = e2)
% 71.75/10.77 | | | | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | | | | SIMP: (1520) implies:
% 71.75/10.77 | | | | | | | | | | | | | (1521) ~ (all_8_0 = e2)
% 71.75/10.77 | | | | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | | | | REDUCE: (721), (1517) imply:
% 71.75/10.77 | | | | | | | | | | | | | (1522) ~ (all_4_0 = e2)
% 71.75/10.77 | | | | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | | | | REF_CLOSE: (163), (270), (271), (273), (277), (546), (559),
% 71.75/10.77 | | | | | | | | | | | | | (600), (679), (684), (686), (689), (698), (700),
% 71.75/10.77 | | | | | | | | | | | | | (702), (709), (711), (719), (725), (764), (903),
% 71.75/10.77 | | | | | | | | | | | | | (904), (905), (1506), (1510), (1511), (1519),
% 71.75/10.77 | | | | | | | | | | | | | (1521) are inconsistent by sub-proof #66.
% 71.75/10.77 | | | | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | | | Case 2:
% 71.75/10.77 | | | | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | | | | (1523) all_64_9 = e1 | all_64_9 = e0
% 71.75/10.77 | | | | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | | | | REF_CLOSE: (542), (959), (1508), (1523) are inconsistent by
% 71.75/10.77 | | | | | | | | | | | | | sub-proof #107.
% 71.75/10.77 | | | | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | | | End of split
% 71.75/10.77 | | | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | | End of split
% 71.75/10.77 | | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | End of split
% 71.75/10.77 | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | Case 2:
% 71.75/10.77 | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | (1524) all_18_0 = e0
% 71.75/10.77 | | | | | | | | | | (1525) ~ (all_18_1 = e3)
% 71.75/10.77 | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | COMBINE_EQS: (602), (1524) imply:
% 71.75/10.77 | | | | | | | | | | (1526) all_10_0 = e0
% 71.75/10.77 | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | SIMP: (1526) implies:
% 71.75/10.77 | | | | | | | | | | (1527) all_10_0 = e0
% 71.75/10.77 | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | REDUCE: (669), (1525) imply:
% 71.75/10.77 | | | | | | | | | | (1528) ~ (all_10_1 = e3)
% 71.75/10.77 | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | REDUCE: (739), (1527) imply:
% 71.75/10.77 | | | | | | | | | | (1529) ~ (all_10_1 = e0)
% 71.75/10.77 | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | SIMP: (1529) implies:
% 71.75/10.77 | | | | | | | | | | (1530) ~ (all_10_1 = e0)
% 71.75/10.77 | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | REDUCE: (746), (1527) imply:
% 71.75/10.77 | | | | | | | | | | (1531) ~ (all_8_0 = e0)
% 71.75/10.77 | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | SIMP: (1531) implies:
% 71.75/10.77 | | | | | | | | | | (1532) ~ (all_8_0 = e0)
% 71.75/10.77 | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | REDUCE: (721), (1527) imply:
% 71.75/10.77 | | | | | | | | | | (1533) ~ (all_4_0 = e0)
% 71.75/10.77 | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | SIMP: (1533) implies:
% 71.75/10.77 | | | | | | | | | | (1534) ~ (all_4_0 = e0)
% 71.75/10.77 | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | BETA: splitting (89) gives:
% 71.75/10.77 | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | Case 1:
% 71.75/10.77 | | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | | (1535) ~ (all_24_0 = e2)
% 71.75/10.77 | | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | | REDUCE: (616), (1535) imply:
% 71.75/10.77 | | | | | | | | | | | (1536) ~ (all_8_0 = e2)
% 71.75/10.77 | | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | | BETA: splitting (271) gives:
% 71.75/10.77 | | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | | Case 1:
% 71.75/10.77 | | | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | | | (1537) all_64_11 = e3
% 71.75/10.77 | | | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | | | COMBINE_EQS: (546), (1537) imply:
% 71.75/10.77 | | | | | | | | | | | | (1538) all_8_0 = e3
% 71.75/10.77 | | | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | | | REDUCE: (905), (1538) imply:
% 71.75/10.77 | | | | | | | | | | | | (1539) $false
% 71.75/10.77 | | | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | | | CLOSE: (1539) is inconsistent.
% 71.75/10.77 | | | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | | Case 2:
% 71.75/10.77 | | | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | | | (1540) all_64_11 = e2 | all_64_11 = e1 | all_64_11 = e0
% 71.75/10.77 | | | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | | | BETA: splitting (1540) gives:
% 71.75/10.77 | | | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | | | Case 1:
% 71.75/10.77 | | | | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | | | | (1541) all_64_11 = e2
% 71.75/10.77 | | | | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | | | | COMBINE_EQS: (546), (1541) imply:
% 71.75/10.77 | | | | | | | | | | | | | (1542) all_8_0 = e2
% 71.75/10.77 | | | | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | | | | REDUCE: (1536), (1542) imply:
% 71.75/10.77 | | | | | | | | | | | | | (1543) $false
% 71.75/10.77 | | | | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | | | | CLOSE: (1543) is inconsistent.
% 71.75/10.77 | | | | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | | | Case 2:
% 71.75/10.77 | | | | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | | | | (1544) all_64_11 = e1 | all_64_11 = e0
% 71.75/10.77 | | | | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | | | | BETA: splitting (1544) gives:
% 71.75/10.77 | | | | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | | | | Case 1:
% 71.75/10.77 | | | | | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | | | | | (1545) all_64_11 = e1
% 71.75/10.77 | | | | | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | | | | | COMBINE_EQS: (546), (1545) imply:
% 71.75/10.77 | | | | | | | | | | | | | | (1546) all_8_0 = e1
% 71.75/10.77 | | | | | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | | | | | REDUCE: (764), (1546) imply:
% 71.75/10.77 | | | | | | | | | | | | | | (1547) ~ (all_8_1 = e1)
% 71.75/10.77 | | | | | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | | | | | SIMP: (1547) implies:
% 71.75/10.77 | | | | | | | | | | | | | | (1548) ~ (all_8_1 = e1)
% 71.75/10.77 | | | | | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | | | | | REDUCE: (725), (1546) imply:
% 71.75/10.77 | | | | | | | | | | | | | | (1549) ~ (all_4_0 = e1)
% 71.75/10.77 | | | | | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | | | | | SIMP: (1549) implies:
% 71.75/10.77 | | | | | | | | | | | | | | (1550) ~ (all_4_0 = e1)
% 71.75/10.77 | | | | | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 71.75/10.77 | | | | | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | | | | | Case 1:
% 71.75/10.77 | | | | | | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | | | | | | (1551) (all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 &
% 71.75/10.77 | | | | | | | | | | | | | | | all_56_3 = e3) | (all_56_0 = e2 & all_56_1 = e2
% 71.75/10.77 | | | | | | | | | | | | | | | & all_56_2 = e2 & all_56_3 = e2)
% 71.75/10.77 | | | | | | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | | | | | | BETA: splitting (1551) gives:
% 71.75/10.77 | | | | | | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | | | | | | Case 1:
% 71.75/10.77 | | | | | | | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | | | | | | | (1552) all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 &
% 71.75/10.77 | | | | | | | | | | | | | | | | all_56_3 = e3
% 71.75/10.77 | | | | | | | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | | | | | | | REF_CLOSE: (600), (1528), (1552) are inconsistent by
% 71.75/10.77 | | | | | | | | | | | | | | | | sub-proof #32.
% 71.75/10.77 | | | | | | | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | | | | | | Case 2:
% 71.75/10.77 | | | | | | | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | | | | | | | (1553) all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 &
% 71.75/10.77 | | | | | | | | | | | | | | | | all_56_3 = e2
% 71.75/10.77 | | | | | | | | | | | | | | | |
% 71.75/10.77 | | | | | | | | | | | | | | | | ALPHA: (1553) implies:
% 71.75/10.77 | | | | | | | | | | | | | | | | (1554) all_56_3 = e2
% 71.75/10.77 | | | | | | | | | | | | | | | | (1555) all_56_2 = e2
% 71.75/10.77 | | | | | | | | | | | | | | | | (1556) all_56_1 = e2
% 71.75/10.78 | | | | | | | | | | | | | | | | (1557) all_56_0 = e2
% 71.75/10.78 | | | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | | | COMBINE_EQS: (559), (1557) imply:
% 71.75/10.78 | | | | | | | | | | | | | | | | (1558) all_4_1 = e2
% 71.75/10.78 | | | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | | | SIMP: (1558) implies:
% 71.75/10.78 | | | | | | | | | | | | | | | | (1559) all_4_1 = e2
% 71.75/10.78 | | | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | | | COMBINE_EQS: (600), (1556) imply:
% 71.75/10.78 | | | | | | | | | | | | | | | | (1560) all_10_1 = e2
% 71.75/10.78 | | | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | | | SIMP: (1560) implies:
% 71.75/10.78 | | | | | | | | | | | | | | | | (1561) all_10_1 = e2
% 71.75/10.78 | | | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | | | COMBINE_EQS: (680), (1555) imply:
% 71.75/10.78 | | | | | | | | | | | | | | | | (1562) all_12_1 = e2
% 71.75/10.78 | | | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | | | SIMP: (1562) implies:
% 71.75/10.78 | | | | | | | | | | | | | | | | (1563) all_12_1 = e2
% 71.75/10.78 | | | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | | | COMBINE_EQS: (679), (1554) imply:
% 71.75/10.78 | | | | | | | | | | | | | | | | (1564) all_8_1 = e2
% 71.75/10.78 | | | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | | | SIMP: (1564) implies:
% 71.75/10.78 | | | | | | | | | | | | | | | | (1565) all_8_1 = e2
% 71.75/10.78 | | | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | | | COMBINE_EQS: (673), (1559) imply:
% 71.75/10.78 | | | | | | | | | | | | | | | | (1566) all_34_1 = e2
% 71.75/10.78 | | | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | | | COMBINE_EQS: (676), (1563) imply:
% 71.75/10.78 | | | | | | | | | | | | | | | | (1567) all_42_1 = e2
% 71.75/10.78 | | | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | | | REDUCE: (759), (1565) imply:
% 71.75/10.78 | | | | | | | | | | | | | | | | (1568) ~ (all_42_0 = e2)
% 71.75/10.78 | | | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | | | REDUCE: (702), (1559) imply:
% 71.75/10.78 | | | | | | | | | | | | | | | | (1569) ~ (all_28_0 = e2)
% 71.75/10.78 | | | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | | | REDUCE: (741), (1561) imply:
% 71.75/10.78 | | | | | | | | | | | | | | | | (1570) ~ (all_12_0 = e2)
% 71.75/10.78 | | | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | | | BETA: splitting (275) gives:
% 71.75/10.78 | | | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | | | Case 1:
% 71.75/10.78 | | | | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | | | | (1571) all_64_6 = e3
% 71.75/10.78 | | | | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | | | | REF_CLOSE: (688), (954), (1571) are inconsistent by sub-proof
% 71.75/10.78 | | | | | | | | | | | | | | | | | #95.
% 71.75/10.78 | | | | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | | | Case 2:
% 71.75/10.78 | | | | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | | | | (1572) all_64_6 = e2 | all_64_6 = e1 | all_64_6 = e0
% 71.75/10.78 | | | | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | | | | BETA: splitting (1572) gives:
% 71.75/10.78 | | | | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | | | | Case 1:
% 71.75/10.78 | | | | | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | | | | | (1573) all_64_6 = e2
% 71.75/10.78 | | | | | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | | | | | REF_CLOSE: (688), (1570), (1573) are inconsistent by
% 71.75/10.78 | | | | | | | | | | | | | | | | | | sub-proof #41.
% 71.75/10.78 | | | | | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | | | | Case 2:
% 71.75/10.78 | | | | | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | | | | | (1574) all_64_6 = e1 | all_64_6 = e0
% 71.75/10.78 | | | | | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | | | | | BETA: splitting (109) gives:
% 71.75/10.78 | | | | | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | | | | | Case 1:
% 71.75/10.78 | | | | | | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | | | | | | (1575) ~ (all_34_0 = e1)
% 71.75/10.78 | | | | | | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | | | | | | REDUCE: (596), (1575) imply:
% 71.75/10.78 | | | | | | | | | | | | | | | | | | | (1576) ~ (all_28_0 = e1)
% 71.75/10.78 | | | | | | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | | | | | | BETA: splitting (125) gives:
% 71.75/10.78 | | | | | | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | | | | | | Case 1:
% 71.75/10.78 | | | | | | | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | | | | | | | (1577) ~ (all_42_0 = e3)
% 71.75/10.78 | | | | | | | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | | | | | | | BETA: splitting (1574) gives:
% 71.75/10.78 | | | | | | | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.75/10.78 | | | | | | | | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | | | | | | | | (1578) all_64_6 = e1
% 71.75/10.78 | | | | | | | | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (688), (1578) imply:
% 71.75/10.78 | | | | | | | | | | | | | | | | | | | | | (1579) all_12_0 = e1
% 71.75/10.78 | | | | | | | | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | | | | | | | | SIMP: (1579) implies:
% 71.75/10.78 | | | | | | | | | | | | | | | | | | | | | (1580) all_12_0 = e1
% 71.75/10.78 | | | | | | | | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | | | | | | | | REDUCE: (756), (1580) imply:
% 71.75/10.78 | | | | | | | | | | | | | | | | | | | | | (1581) ~ (all_42_0 = e1)
% 71.75/10.78 | | | | | | | | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (273) gives:
% 71.75/10.78 | | | | | | | | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.75/10.78 | | | | | | | | | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | | | | | | | | | (1582) all_64_8 = e3
% 71.75/10.78 | | | | | | | | | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (686), (1582) imply:
% 71.75/10.78 | | | | | | | | | | | | | | | | | | | | | | (1583) all_4_0 = e3
% 71.75/10.78 | | | | | | | | | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (719), (1583) imply:
% 71.75/10.78 | | | | | | | | | | | | | | | | | | | | | | (1584) ~ (all_28_0 = e3)
% 71.75/10.78 | | | | | | | | | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (270), (551), (684), (728), (1568), (1569),
% 71.75/10.78 | | | | | | | | | | | | | | | | | | | | | | (1576), (1577), (1581), (1584) are inconsistent by
% 71.75/10.78 | | | | | | | | | | | | | | | | | | | | | | sub-proof #30.
% 71.75/10.78 | | | | | | | | | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.75/10.78 | | | | | | | | | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | | | | | | | | | (1585) all_64_8 = e2 | all_64_8 = e1 | all_64_8 = e0
% 71.75/10.78 | | | | | | | | | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (686), (903), (1534), (1550), (1585) are
% 71.75/10.78 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #82.
% 71.75/10.78 | | | | | | | | | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | | | | | | | | End of split
% 71.75/10.78 | | | | | | | | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.75/10.78 | | | | | | | | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | | | | | | | | (1586) all_64_6 = e0
% 71.75/10.78 | | | | | | | | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (688), (957), (1586) are inconsistent by sub-proof
% 71.75/10.78 | | | | | | | | | | | | | | | | | | | | | #37.
% 71.75/10.78 | | | | | | | | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | | | | | | | End of split
% 71.75/10.78 | | | | | | | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | | | | | | Case 2:
% 71.75/10.78 | | | | | | | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | | | | | | | (1587) ~ (all_42_1 = e2)
% 71.75/10.78 | | | | | | | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | | | | | | | REDUCE: (1567), (1587) imply:
% 71.75/10.78 | | | | | | | | | | | | | | | | | | | | (1588) $false
% 71.75/10.78 | | | | | | | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | | | | | | | CLOSE: (1588) is inconsistent.
% 71.75/10.78 | | | | | | | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | | | | | | End of split
% 71.75/10.78 | | | | | | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | | | | | Case 2:
% 71.75/10.78 | | | | | | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | | | | | | (1589) ~ (all_34_1 = e2)
% 71.75/10.78 | | | | | | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | | | | | | REDUCE: (1566), (1589) imply:
% 71.75/10.78 | | | | | | | | | | | | | | | | | | | (1590) $false
% 71.75/10.78 | | | | | | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | | | | | | CLOSE: (1590) is inconsistent.
% 71.75/10.78 | | | | | | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | | | | | End of split
% 71.75/10.78 | | | | | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | | | | End of split
% 71.75/10.78 | | | | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | | | End of split
% 71.75/10.78 | | | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | | End of split
% 71.75/10.78 | | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | Case 2:
% 71.75/10.78 | | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | | (1591) (all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 &
% 71.75/10.78 | | | | | | | | | | | | | | | all_56_3 = e1) | (all_56_0 = e0 & all_56_1 = e0
% 71.75/10.78 | | | | | | | | | | | | | | | & all_56_2 = e0 & all_56_3 = e0)
% 71.75/10.78 | | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | | BETA: splitting (1591) gives:
% 71.75/10.78 | | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | | Case 1:
% 71.75/10.78 | | | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | | | (1592) all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 &
% 71.75/10.78 | | | | | | | | | | | | | | | | all_56_3 = e1
% 71.75/10.78 | | | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | | | REF_CLOSE: (679), (1548), (1592) are inconsistent by
% 71.75/10.78 | | | | | | | | | | | | | | | | sub-proof #54.
% 71.75/10.78 | | | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | | Case 2:
% 71.75/10.78 | | | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | | | (1593) all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 &
% 71.75/10.78 | | | | | | | | | | | | | | | | all_56_3 = e0
% 71.75/10.78 | | | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | | | REF_CLOSE: (600), (1530), (1593) are inconsistent by
% 71.75/10.78 | | | | | | | | | | | | | | | | sub-proof #29.
% 71.75/10.78 | | | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | | End of split
% 71.75/10.78 | | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | End of split
% 71.75/10.78 | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | Case 2:
% 71.75/10.78 | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | (1594) all_64_11 = e0
% 71.75/10.78 | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | COMBINE_EQS: (546), (1594) imply:
% 71.75/10.78 | | | | | | | | | | | | | | (1595) all_8_0 = e0
% 71.75/10.78 | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | REDUCE: (1532), (1595) imply:
% 71.75/10.78 | | | | | | | | | | | | | | (1596) $false
% 71.75/10.78 | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | CLOSE: (1596) is inconsistent.
% 71.75/10.78 | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | End of split
% 71.75/10.78 | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | End of split
% 71.75/10.78 | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | End of split
% 71.75/10.78 | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | Case 2:
% 71.75/10.78 | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | (1597) all_24_0 = e2
% 71.75/10.78 | | | | | | | | | | | (1598) ~ (all_24_1 = e3)
% 71.75/10.78 | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | COMBINE_EQS: (616), (1597) imply:
% 71.75/10.78 | | | | | | | | | | | (1599) all_8_0 = e2
% 71.75/10.78 | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | REDUCE: (647), (1598) imply:
% 71.75/10.78 | | | | | | | | | | | (1600) ~ (all_8_1 = e3)
% 71.75/10.78 | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | REDUCE: (764), (1599) imply:
% 71.75/10.78 | | | | | | | | | | | (1601) ~ (all_8_1 = e2)
% 71.75/10.78 | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | SIMP: (1601) implies:
% 71.75/10.78 | | | | | | | | | | | (1602) ~ (all_8_1 = e2)
% 71.75/10.78 | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | REDUCE: (725), (1599) imply:
% 71.75/10.78 | | | | | | | | | | | (1603) ~ (all_4_0 = e2)
% 71.75/10.78 | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | BETA: splitting (163) gives:
% 71.75/10.78 | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | Case 1:
% 71.75/10.78 | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | (1604) (all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 &
% 71.75/10.78 | | | | | | | | | | | | all_56_3 = e3) | (all_56_0 = e2 & all_56_1 = e2
% 71.75/10.78 | | | | | | | | | | | | & all_56_2 = e2 & all_56_3 = e2)
% 71.75/10.78 | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | BETA: splitting (1604) gives:
% 71.75/10.78 | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | Case 1:
% 71.75/10.78 | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | (1605) all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 &
% 71.75/10.78 | | | | | | | | | | | | | all_56_3 = e3
% 71.75/10.78 | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | REF_CLOSE: (679), (1600), (1605) are inconsistent by
% 71.75/10.78 | | | | | | | | | | | | | sub-proof #73.
% 71.75/10.78 | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | Case 2:
% 71.75/10.78 | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | (1606) all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 &
% 71.75/10.78 | | | | | | | | | | | | | all_56_3 = e2
% 71.75/10.78 | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | REF_CLOSE: (679), (1602), (1606) are inconsistent by
% 71.75/10.78 | | | | | | | | | | | | | sub-proof #28.
% 71.75/10.78 | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | End of split
% 71.75/10.78 | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | Case 2:
% 71.75/10.78 | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | (1607) (all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 &
% 71.75/10.78 | | | | | | | | | | | | all_56_3 = e1) | (all_56_0 = e0 & all_56_1 = e0
% 71.75/10.78 | | | | | | | | | | | | & all_56_2 = e0 & all_56_3 = e0)
% 71.75/10.78 | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | BETA: splitting (1607) gives:
% 71.75/10.78 | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | Case 1:
% 71.75/10.78 | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | (1608) all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 &
% 71.75/10.78 | | | | | | | | | | | | | all_56_3 = e1
% 71.75/10.78 | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | ALPHA: (1608) implies:
% 71.75/10.78 | | | | | | | | | | | | | (1609) all_56_1 = e1
% 71.75/10.78 | | | | | | | | | | | | | (1610) all_56_0 = e1
% 71.75/10.78 | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | COMBINE_EQS: (559), (1610) imply:
% 71.75/10.78 | | | | | | | | | | | | | (1611) all_4_1 = e1
% 71.75/10.78 | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | SIMP: (1611) implies:
% 71.75/10.78 | | | | | | | | | | | | | (1612) all_4_1 = e1
% 71.75/10.78 | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | COMBINE_EQS: (600), (1609) imply:
% 71.75/10.78 | | | | | | | | | | | | | (1613) all_10_1 = e1
% 71.75/10.78 | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | SIMP: (1613) implies:
% 71.75/10.78 | | | | | | | | | | | | | (1614) all_10_1 = e1
% 71.75/10.78 | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | COMBINE_EQS: (661), (1612) imply:
% 71.75/10.78 | | | | | | | | | | | | | (1615) all_30_1 = e1
% 71.75/10.78 | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | REDUCE: (741), (1614) imply:
% 71.75/10.78 | | | | | | | | | | | | | (1616) ~ (all_12_0 = e1)
% 71.75/10.78 | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | REDUCE: (700), (1612) imply:
% 71.75/10.78 | | | | | | | | | | | | | (1617) ~ (all_4_0 = e1)
% 71.75/10.78 | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | BETA: splitting (101) gives:
% 71.75/10.78 | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | Case 1:
% 71.75/10.78 | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | (1618) ~ (all_30_0 = e0)
% 71.75/10.78 | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | REDUCE: (593), (1618) imply:
% 71.75/10.78 | | | | | | | | | | | | | | (1619) ~ (all_6_0 = e0)
% 71.75/10.78 | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | BETA: splitting (275) gives:
% 71.75/10.78 | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | Case 1:
% 71.75/10.78 | | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | | (1620) all_64_6 = e3
% 71.75/10.78 | | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | | REF_CLOSE: (688), (954), (1620) are inconsistent by sub-proof
% 71.75/10.78 | | | | | | | | | | | | | | | #95.
% 71.75/10.78 | | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | Case 2:
% 71.75/10.78 | | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | | (1621) all_64_6 = e2 | all_64_6 = e1 | all_64_6 = e0
% 71.75/10.78 | | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | | BETA: splitting (1621) gives:
% 71.75/10.78 | | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | | Case 1:
% 71.75/10.78 | | | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | | | (1622) all_64_6 = e2
% 71.75/10.78 | | | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | | | COMBINE_EQS: (688), (1622) imply:
% 71.75/10.78 | | | | | | | | | | | | | | | | (1623) all_12_0 = e2
% 71.75/10.78 | | | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | | | SIMP: (1623) implies:
% 71.75/10.78 | | | | | | | | | | | | | | | | (1624) all_12_0 = e2
% 71.75/10.78 | | | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | | | REDUCE: (715), (1624) imply:
% 71.75/10.78 | | | | | | | | | | | | | | | | (1625) ~ (all_6_0 = e2)
% 71.75/10.78 | | | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | | | SIMP: (1625) implies:
% 71.75/10.78 | | | | | | | | | | | | | | | | (1626) ~ (all_6_0 = e2)
% 71.75/10.78 | | | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | | | REF_CLOSE: (273), (277), (686), (689), (709), (903), (904),
% 71.75/10.78 | | | | | | | | | | | | | | | | (1534), (1617), (1619), (1626) are inconsistent by
% 71.75/10.78 | | | | | | | | | | | | | | | | sub-proof #27.
% 71.75/10.78 | | | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | | Case 2:
% 71.75/10.78 | | | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | | | (1627) all_64_6 = e1 | all_64_6 = e0
% 71.75/10.78 | | | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | | | REF_CLOSE: (688), (957), (1616), (1627) are inconsistent by
% 71.75/10.78 | | | | | | | | | | | | | | | | sub-proof #88.
% 71.75/10.78 | | | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | | End of split
% 71.75/10.78 | | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | End of split
% 71.75/10.78 | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | Case 2:
% 71.75/10.78 | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | (1628) ~ (all_30_1 = e1)
% 71.75/10.78 | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | REDUCE: (1615), (1628) imply:
% 71.75/10.78 | | | | | | | | | | | | | | (1629) $false
% 71.75/10.78 | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | | CLOSE: (1629) is inconsistent.
% 71.75/10.78 | | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | End of split
% 71.75/10.78 | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | Case 2:
% 71.75/10.78 | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | (1630) all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 &
% 71.75/10.78 | | | | | | | | | | | | | all_56_3 = e0
% 71.75/10.78 | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | | REF_CLOSE: (600), (1530), (1630) are inconsistent by
% 71.75/10.78 | | | | | | | | | | | | | sub-proof #29.
% 71.75/10.78 | | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | | End of split
% 71.75/10.78 | | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | | End of split
% 71.75/10.78 | | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | | End of split
% 71.75/10.78 | | | | | | | | | |
% 71.75/10.78 | | | | | | | | | End of split
% 71.75/10.78 | | | | | | | | |
% 71.75/10.78 | | | | | | | | Case 2:
% 71.75/10.78 | | | | | | | | |
% 71.75/10.78 | | | | | | | | | (1631) all_16_0 = e0
% 71.75/10.78 | | | | | | | | | (1632) ~ (all_16_1 = e3)
% 71.75/10.78 | | | | | | | | |
% 71.75/10.78 | | | | | | | | | COMBINE_EQS: (607), (1631) imply:
% 71.75/10.78 | | | | | | | | | (1633) all_12_0 = e0
% 71.75/10.78 | | | | | | | | |
% 71.75/10.78 | | | | | | | | | SIMP: (1633) implies:
% 71.75/10.78 | | | | | | | | | (1634) all_12_0 = e0
% 71.75/10.78 | | | | | | | | |
% 71.75/10.78 | | | | | | | | | REDUCE: (756), (1634) imply:
% 71.75/10.78 | | | | | | | | | (1635) ~ (all_42_0 = e0)
% 71.75/10.78 | | | | | | | | |
% 71.75/10.78 | | | | | | | | | REDUCE: (758), (1634) imply:
% 71.75/10.78 | | | | | | | | | (1636) ~ (all_22_0 = e0)
% 71.75/10.78 | | | | | | | | |
% 71.75/10.78 | | | | | | | | | REDUCE: (653), (1632) imply:
% 71.75/10.78 | | | | | | | | | (1637) ~ (all_12_1 = e3)
% 71.75/10.78 | | | | | | | | |
% 71.75/10.78 | | | | | | | | | REDUCE: (741), (1634) imply:
% 71.75/10.78 | | | | | | | | | (1638) ~ (all_10_1 = e0)
% 71.75/10.78 | | | | | | | | |
% 71.75/10.78 | | | | | | | | | SIMP: (1638) implies:
% 71.75/10.78 | | | | | | | | | (1639) ~ (all_10_1 = e0)
% 71.75/10.78 | | | | | | | | |
% 71.75/10.78 | | | | | | | | | REDUCE: (715), (1634) imply:
% 71.75/10.78 | | | | | | | | | (1640) ~ (all_6_0 = e0)
% 71.75/10.78 | | | | | | | | |
% 71.75/10.78 | | | | | | | | | SIMP: (1640) implies:
% 71.75/10.78 | | | | | | | | | (1641) ~ (all_6_0 = e0)
% 71.75/10.78 | | | | | | | | |
% 71.75/10.79 | | | | | | | | | REDUCE: (796), (1634) imply:
% 71.75/10.79 | | | | | | | | | (1642) op(e0, e2) = all_66_25
% 71.75/10.79 | | | | | | | | |
% 71.75/10.79 | | | | | | | | | REDUCE: (797), (1634) imply:
% 71.75/10.79 | | | | | | | | | (1643) op(e0, e1) = all_66_26
% 71.75/10.79 | | | | | | | | |
% 71.75/10.79 | | | | | | | | | REDUCE: (858), (1634) imply:
% 71.75/10.79 | | | | | | | | | (1644) op(e2, e0) = all_66_22
% 71.75/10.79 | | | | | | | | |
% 71.75/10.79 | | | | | | | | | REDUCE: (875), (1634) imply:
% 71.75/10.79 | | | | | | | | | (1645) op(e1, e0) = all_66_38
% 71.75/10.79 | | | | | | | | |
% 71.75/10.79 | | | | | | | | | GROUND_INST: instantiating (45) with all_42_0, all_66_26, e1,
% 71.75/10.79 | | | | | | | | | e0, simplifying with (123), (1643) gives:
% 71.75/10.79 | | | | | | | | | (1646) all_66_26 = all_42_0
% 71.75/10.79 | | | | | | | | |
% 71.75/10.79 | | | | | | | | | GROUND_INST: instantiating (45) with all_20_0, all_66_25, e2,
% 71.75/10.79 | | | | | | | | | e0, simplifying with (79), (1642) gives:
% 71.75/10.79 | | | | | | | | | (1647) all_66_25 = all_20_0
% 71.75/10.79 | | | | | | | | |
% 71.75/10.79 | | | | | | | | | GROUND_INST: instantiating (45) with all_8_0, all_66_38, e0,
% 71.75/10.79 | | | | | | | | | e1, simplifying with (56), (1645) gives:
% 71.75/10.79 | | | | | | | | | (1648) all_66_38 = all_8_0
% 71.75/10.79 | | | | | | | | |
% 71.75/10.79 | | | | | | | | | GROUND_INST: instantiating (45) with all_22_0, all_66_22, e0,
% 71.75/10.79 | | | | | | | | | e2, simplifying with (84), (1644) gives:
% 71.75/10.79 | | | | | | | | | (1649) all_66_22 = all_22_0
% 71.75/10.79 | | | | | | | | |
% 71.75/10.79 | | | | | | | | | REDUCE: (809), (1648) imply:
% 71.75/10.79 | | | | | | | | | (1650) op(all_10_0, e1) = all_8_0
% 71.75/10.79 | | | | | | | | |
% 71.75/10.79 | | | | | | | | | REDUCE: (861), (1647) imply:
% 71.75/10.79 | | | | | | | | | (1651) op(e2, all_10_0) = all_20_0
% 71.75/10.79 | | | | | | | | |
% 71.75/10.79 | | | | | | | | | BETA: splitting (77) gives:
% 71.75/10.79 | | | | | | | | |
% 71.75/10.79 | | | | | | | | | Case 1:
% 71.75/10.79 | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | (1652) ~ (all_18_0 = e0)
% 71.75/10.79 | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | REDUCE: (602), (1652) imply:
% 71.75/10.79 | | | | | | | | | | (1653) ~ (all_10_0 = e0)
% 71.75/10.79 | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | REF_CLOSE: (85), (89), (105), (117), (163), (271), (272),
% 71.75/10.79 | | | | | | | | | | (273), (274), (277), (542), (546), (559), (595),
% 71.75/10.79 | | | | | | | | | | (600), (614), (616), (634), (647), (667), (675),
% 71.75/10.79 | | | | | | | | | | (679), (680), (686), (687), (689), (698), (700),
% 71.75/10.79 | | | | | | | | | | (709), (717), (721), (725), (739), (746), (763),
% 71.75/10.79 | | | | | | | | | | (764), (903), (904), (905), (953), (1636), (1637),
% 71.75/10.79 | | | | | | | | | | (1639), (1641), (1653) are inconsistent by
% 71.75/10.79 | | | | | | | | | | sub-proof #22.
% 71.75/10.79 | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | Case 2:
% 71.75/10.79 | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | (1654) all_18_0 = e0
% 71.75/10.79 | | | | | | | | | | (1655) ~ (all_18_1 = e3)
% 71.75/10.79 | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | COMBINE_EQS: (602), (1654) imply:
% 71.75/10.79 | | | | | | | | | | (1656) all_10_0 = e0
% 71.75/10.79 | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | SIMP: (1656) implies:
% 71.75/10.79 | | | | | | | | | | (1657) all_10_0 = e0
% 71.75/10.79 | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | REDUCE: (669), (1655) imply:
% 71.75/10.79 | | | | | | | | | | (1658) ~ (all_10_1 = e3)
% 71.75/10.79 | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | REDUCE: (1650), (1657) imply:
% 71.75/10.79 | | | | | | | | | | (1659) op(e0, e1) = all_8_0
% 71.75/10.79 | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | REDUCE: (1651), (1657) imply:
% 71.75/10.79 | | | | | | | | | | (1660) op(e2, e0) = all_20_0
% 71.75/10.79 | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | GROUND_INST: instantiating (45) with all_42_0, all_8_0, e1, e0,
% 71.75/10.79 | | | | | | | | | | simplifying with (123), (1659) gives:
% 71.75/10.79 | | | | | | | | | | (1661) all_42_0 = all_8_0
% 71.75/10.79 | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | GROUND_INST: instantiating (45) with all_22_0, all_20_0, e0,
% 71.75/10.79 | | | | | | | | | | e2, simplifying with (84), (1660) gives:
% 71.75/10.79 | | | | | | | | | | (1662) all_22_0 = all_20_0
% 71.75/10.79 | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | COMBINE_EQS: (614), (1662) imply:
% 71.75/10.79 | | | | | | | | | | (1663) all_38_0 = all_20_0
% 71.75/10.79 | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | COMBINE_EQS: (551), (1661) imply:
% 71.75/10.79 | | | | | | | | | | (1664) all_64_14 = all_8_0
% 71.75/10.79 | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | COMBINE_EQS: (687), (1662) imply:
% 71.75/10.79 | | | | | | | | | | (1665) all_64_7 = all_20_0
% 71.75/10.79 | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | REDUCE: (1635), (1661) imply:
% 71.75/10.79 | | | | | | | | | | (1666) ~ (all_8_0 = e0)
% 71.75/10.79 | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | REDUCE: (762), (1662) imply:
% 71.75/10.79 | | | | | | | | | | (1667) ~ (all_20_0 = all_8_0)
% 71.75/10.79 | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | REDUCE: (717), (1662) imply:
% 71.75/10.79 | | | | | | | | | | (1668) ~ (all_20_0 = all_6_0)
% 71.75/10.79 | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | BETA: splitting (85) gives:
% 71.75/10.79 | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | Case 1:
% 71.75/10.79 | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | (1669) ~ (all_22_0 = e1)
% 71.75/10.79 | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | BETA: splitting (89) gives:
% 71.75/10.79 | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | Case 1:
% 71.75/10.79 | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | (1670) ~ (all_24_0 = e2)
% 71.75/10.79 | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | REDUCE: (616), (1670) imply:
% 71.75/10.79 | | | | | | | | | | | | (1671) ~ (all_8_0 = e2)
% 71.75/10.79 | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | BETA: splitting (268) gives:
% 71.75/10.79 | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | Case 1:
% 71.75/10.79 | | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | | (1672) all_64_14 = e3
% 71.75/10.79 | | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | | COMBINE_EQS: (1664), (1672) imply:
% 71.75/10.79 | | | | | | | | | | | | | (1673) all_8_0 = e3
% 71.75/10.79 | | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | | SIMP: (1673) implies:
% 71.75/10.79 | | | | | | | | | | | | | (1674) all_8_0 = e3
% 71.75/10.79 | | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | | REDUCE: (905), (1674) imply:
% 71.75/10.79 | | | | | | | | | | | | | (1675) $false
% 71.75/10.79 | | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | | CLOSE: (1675) is inconsistent.
% 71.75/10.79 | | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | Case 2:
% 71.75/10.79 | | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | | (1676) all_64_14 = e2 | all_64_14 = e1 | all_64_14 = e0
% 71.75/10.79 | | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | | BETA: splitting (1676) gives:
% 71.75/10.79 | | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | | Case 1:
% 71.75/10.79 | | | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | | | (1677) all_64_14 = e2
% 71.75/10.79 | | | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | | | COMBINE_EQS: (1664), (1677) imply:
% 71.75/10.79 | | | | | | | | | | | | | | (1678) all_8_0 = e2
% 71.75/10.79 | | | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | | | SIMP: (1678) implies:
% 71.75/10.79 | | | | | | | | | | | | | | (1679) all_8_0 = e2
% 71.75/10.79 | | | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | | | REDUCE: (1671), (1679) imply:
% 71.75/10.79 | | | | | | | | | | | | | | (1680) $false
% 71.75/10.79 | | | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | | | CLOSE: (1680) is inconsistent.
% 71.75/10.79 | | | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | | Case 2:
% 71.75/10.79 | | | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | | | (1681) all_64_14 = e1 | all_64_14 = e0
% 71.75/10.79 | | | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | | | BETA: splitting (1681) gives:
% 71.75/10.79 | | | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | | | Case 1:
% 71.75/10.79 | | | | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | | | | (1682) all_64_14 = e1
% 71.75/10.79 | | | | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | | | | COMBINE_EQS: (1664), (1682) imply:
% 71.75/10.79 | | | | | | | | | | | | | | | (1683) all_8_0 = e1
% 71.75/10.79 | | | | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | | | | SIMP: (1683) implies:
% 71.75/10.79 | | | | | | | | | | | | | | | (1684) all_8_0 = e1
% 71.75/10.79 | | | | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | | | | REDUCE: (764), (1684) imply:
% 71.75/10.79 | | | | | | | | | | | | | | | (1685) ~ (all_8_1 = e1)
% 71.75/10.79 | | | | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | | | | SIMP: (1685) implies:
% 71.75/10.79 | | | | | | | | | | | | | | | (1686) ~ (all_8_1 = e1)
% 71.75/10.79 | | | | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 71.75/10.79 | | | | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | | | | Case 1:
% 71.75/10.79 | | | | | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | | | | | (1687) (all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 &
% 71.75/10.79 | | | | | | | | | | | | | | | | all_56_3 = e3) | (all_56_0 = e2 & all_56_1 = e2
% 71.75/10.79 | | | | | | | | | | | | | | | | & all_56_2 = e2 & all_56_3 = e2)
% 71.75/10.79 | | | | | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | | | | | BETA: splitting (1687) gives:
% 71.75/10.79 | | | | | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | | | | | Case 1:
% 71.75/10.79 | | | | | | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | | | | | | (1688) all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 &
% 71.75/10.79 | | | | | | | | | | | | | | | | | all_56_3 = e3
% 71.75/10.79 | | | | | | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | | | | | | REF_CLOSE: (600), (1658), (1688) are inconsistent by
% 71.75/10.79 | | | | | | | | | | | | | | | | | sub-proof #32.
% 71.75/10.79 | | | | | | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | | | | | Case 2:
% 71.75/10.79 | | | | | | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | | | | | | (1689) all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 &
% 71.75/10.79 | | | | | | | | | | | | | | | | | all_56_3 = e2
% 71.75/10.79 | | | | | | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | | | | | | ALPHA: (1689) implies:
% 71.75/10.79 | | | | | | | | | | | | | | | | | (1690) all_56_3 = e2
% 71.75/10.79 | | | | | | | | | | | | | | | | | (1691) all_56_0 = e2
% 71.75/10.79 | | | | | | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | | | | | | COMBINE_EQS: (559), (1691) imply:
% 71.75/10.79 | | | | | | | | | | | | | | | | | (1692) all_4_1 = e2
% 71.75/10.79 | | | | | | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | | | | | | SIMP: (1692) implies:
% 71.75/10.79 | | | | | | | | | | | | | | | | | (1693) all_4_1 = e2
% 71.75/10.79 | | | | | | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | | | | | | COMBINE_EQS: (679), (1690) imply:
% 71.75/10.79 | | | | | | | | | | | | | | | | | (1694) all_8_1 = e2
% 71.75/10.79 | | | | | | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | | | | | | SIMP: (1694) implies:
% 71.75/10.79 | | | | | | | | | | | | | | | | | (1695) all_8_1 = e2
% 71.75/10.79 | | | | | | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | | | | | | REDUCE: (749), (1695) imply:
% 71.75/10.79 | | | | | | | | | | | | | | | | | (1696) ~ (all_20_0 = e2)
% 71.75/10.79 | | | | | | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | | | | | | REDUCE: (698), (1693) imply:
% 71.75/10.79 | | | | | | | | | | | | | | | | | (1697) ~ (all_6_0 = e2)
% 71.75/10.79 | | | | | | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | | | | | | BETA: splitting (274) gives:
% 71.75/10.79 | | | | | | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | | | | | | Case 1:
% 71.75/10.79 | | | | | | | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | | | | | | | (1698) all_64_7 = e3
% 71.75/10.79 | | | | | | | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1665), (1698) imply:
% 71.75/10.79 | | | | | | | | | | | | | | | | | | (1699) all_20_0 = e3
% 71.75/10.79 | | | | | | | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | | | | | | | SIMP: (1699) implies:
% 71.75/10.79 | | | | | | | | | | | | | | | | | | (1700) all_20_0 = e3
% 71.75/10.79 | | | | | | | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | | | | | | | REDUCE: (1668), (1700) imply:
% 71.75/10.79 | | | | | | | | | | | | | | | | | | (1701) ~ (all_6_0 = e3)
% 71.75/10.79 | | | | | | | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | | | | | | | SIMP: (1701) implies:
% 71.75/10.79 | | | | | | | | | | | | | | | | | | (1702) ~ (all_6_0 = e3)
% 71.75/10.79 | | | | | | | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | | | | | | | REF_CLOSE: (277), (689), (904), (1641), (1697), (1702) are
% 71.75/10.79 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #64.
% 71.75/10.79 | | | | | | | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | | | | | | Case 2:
% 71.75/10.79 | | | | | | | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | | | | | | | (1703) all_64_7 = e2 | all_64_7 = e1 | all_64_7 = e0
% 71.75/10.79 | | | | | | | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | | | | | | | REF_CLOSE: (687), (1636), (1665), (1669), (1696), (1703) are
% 71.75/10.79 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #21.
% 71.75/10.79 | | | | | | | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | | | | | | End of split
% 71.75/10.79 | | | | | | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | | | | | End of split
% 71.75/10.79 | | | | | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | | | | Case 2:
% 71.75/10.79 | | | | | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | | | | | (1704) (all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 &
% 71.75/10.79 | | | | | | | | | | | | | | | | all_56_3 = e1) | (all_56_0 = e0 & all_56_1 = e0
% 71.75/10.79 | | | | | | | | | | | | | | | | & all_56_2 = e0 & all_56_3 = e0)
% 71.75/10.79 | | | | | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | | | | | BETA: splitting (1704) gives:
% 71.75/10.79 | | | | | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | | | | | Case 1:
% 71.75/10.79 | | | | | | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | | | | | | (1705) all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 &
% 71.75/10.79 | | | | | | | | | | | | | | | | | all_56_3 = e1
% 71.75/10.79 | | | | | | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | | | | | | REF_CLOSE: (679), (1686), (1705) are inconsistent by
% 71.75/10.79 | | | | | | | | | | | | | | | | | sub-proof #54.
% 71.75/10.79 | | | | | | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | | | | | Case 2:
% 71.75/10.79 | | | | | | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | | | | | | (1706) all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 &
% 71.75/10.79 | | | | | | | | | | | | | | | | | all_56_3 = e0
% 71.75/10.79 | | | | | | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | | | | | | REF_CLOSE: (600), (1639), (1706) are inconsistent by
% 71.75/10.79 | | | | | | | | | | | | | | | | | sub-proof #29.
% 71.75/10.79 | | | | | | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | | | | | End of split
% 71.75/10.79 | | | | | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | | | | End of split
% 71.75/10.79 | | | | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | | | Case 2:
% 71.75/10.79 | | | | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | | | | (1707) all_64_14 = e0
% 71.75/10.79 | | | | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | | | | COMBINE_EQS: (1664), (1707) imply:
% 71.75/10.79 | | | | | | | | | | | | | | | (1708) all_8_0 = e0
% 71.75/10.79 | | | | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | | | | SIMP: (1708) implies:
% 71.75/10.79 | | | | | | | | | | | | | | | (1709) all_8_0 = e0
% 71.75/10.79 | | | | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | | | | REDUCE: (1666), (1709) imply:
% 71.75/10.79 | | | | | | | | | | | | | | | (1710) $false
% 71.75/10.79 | | | | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | | | | CLOSE: (1710) is inconsistent.
% 71.75/10.79 | | | | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | | | End of split
% 71.75/10.79 | | | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | | End of split
% 71.75/10.79 | | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | End of split
% 71.75/10.79 | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | Case 2:
% 71.75/10.79 | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | (1711) all_24_0 = e2
% 71.75/10.79 | | | | | | | | | | | | (1712) ~ (all_24_1 = e3)
% 71.75/10.79 | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | COMBINE_EQS: (616), (1711) imply:
% 71.75/10.79 | | | | | | | | | | | | (1713) all_8_0 = e2
% 71.75/10.79 | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | REDUCE: (647), (1712) imply:
% 71.75/10.79 | | | | | | | | | | | | (1714) ~ (all_8_1 = e3)
% 71.75/10.79 | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | REDUCE: (1667), (1713) imply:
% 71.75/10.79 | | | | | | | | | | | | (1715) ~ (all_20_0 = e2)
% 71.75/10.79 | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | REDUCE: (764), (1713) imply:
% 71.75/10.79 | | | | | | | | | | | | (1716) ~ (all_8_1 = e2)
% 71.75/10.79 | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | SIMP: (1716) implies:
% 71.75/10.79 | | | | | | | | | | | | (1717) ~ (all_8_1 = e2)
% 71.75/10.79 | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | BETA: splitting (163) gives:
% 71.75/10.79 | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | Case 1:
% 71.75/10.79 | | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | | (1718) (all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 &
% 71.75/10.79 | | | | | | | | | | | | | all_56_3 = e3) | (all_56_0 = e2 & all_56_1 = e2
% 71.75/10.79 | | | | | | | | | | | | | & all_56_2 = e2 & all_56_3 = e2)
% 71.75/10.79 | | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | | BETA: splitting (1718) gives:
% 71.75/10.79 | | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | | Case 1:
% 71.75/10.79 | | | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | | | (1719) all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 &
% 71.75/10.79 | | | | | | | | | | | | | | all_56_3 = e3
% 71.75/10.79 | | | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | | | REF_CLOSE: (679), (1714), (1719) are inconsistent by
% 71.75/10.79 | | | | | | | | | | | | | | sub-proof #73.
% 71.75/10.79 | | | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | | Case 2:
% 71.75/10.79 | | | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | | | (1720) all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 &
% 71.75/10.79 | | | | | | | | | | | | | | all_56_3 = e2
% 71.75/10.79 | | | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | | | REF_CLOSE: (679), (1717), (1720) are inconsistent by
% 71.75/10.79 | | | | | | | | | | | | | | sub-proof #28.
% 71.75/10.79 | | | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | | End of split
% 71.75/10.79 | | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | Case 2:
% 71.75/10.79 | | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | | (1721) (all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 &
% 71.75/10.79 | | | | | | | | | | | | | all_56_3 = e1) | (all_56_0 = e0 & all_56_1 = e0
% 71.75/10.79 | | | | | | | | | | | | | & all_56_2 = e0 & all_56_3 = e0)
% 71.75/10.79 | | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | | BETA: splitting (1721) gives:
% 71.75/10.79 | | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | | Case 1:
% 71.75/10.79 | | | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | | | (1722) all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 &
% 71.75/10.79 | | | | | | | | | | | | | | all_56_3 = e1
% 71.75/10.79 | | | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | | | ALPHA: (1722) implies:
% 71.75/10.79 | | | | | | | | | | | | | | (1723) all_56_3 = e1
% 71.75/10.79 | | | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | | | COMBINE_EQS: (679), (1723) imply:
% 71.75/10.79 | | | | | | | | | | | | | | (1724) all_8_1 = e1
% 71.75/10.79 | | | | | | | | | | | | | |
% 71.75/10.79 | | | | | | | | | | | | | | SIMP: (1724) implies:
% 71.75/10.79 | | | | | | | | | | | | | | (1725) all_8_1 = e1
% 71.75/10.80 | | | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | | | | COMBINE_EQS: (675), (1725) imply:
% 71.75/10.80 | | | | | | | | | | | | | | (1726) all_38_1 = e1
% 71.75/10.80 | | | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | | | | BETA: splitting (117) gives:
% 71.75/10.80 | | | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | | | | Case 1:
% 71.75/10.80 | | | | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | | | | | (1727) ~ (all_38_0 = e3)
% 71.75/10.80 | | | | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | | | | | REDUCE: (1663), (1727) imply:
% 71.75/10.80 | | | | | | | | | | | | | | | (1728) ~ (all_20_0 = e3)
% 71.75/10.80 | | | | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | | | | | BETA: splitting (274) gives:
% 71.75/10.80 | | | | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | | | | | Case 1:
% 71.75/10.80 | | | | | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | | | | | | (1729) all_64_7 = e3
% 71.75/10.80 | | | | | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | | | | | | COMBINE_EQS: (1665), (1729) imply:
% 71.75/10.80 | | | | | | | | | | | | | | | | (1730) all_20_0 = e3
% 71.75/10.80 | | | | | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | | | | | | SIMP: (1730) implies:
% 71.75/10.80 | | | | | | | | | | | | | | | | (1731) all_20_0 = e3
% 71.75/10.80 | | | | | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | | | | | | REDUCE: (1728), (1731) imply:
% 71.75/10.80 | | | | | | | | | | | | | | | | (1732) $false
% 71.75/10.80 | | | | | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | | | | | | CLOSE: (1732) is inconsistent.
% 71.75/10.80 | | | | | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | | | | | Case 2:
% 71.75/10.80 | | | | | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | | | | | | (1733) all_64_7 = e2 | all_64_7 = e1 | all_64_7 = e0
% 71.75/10.80 | | | | | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | | | | | | REF_CLOSE: (687), (1636), (1665), (1669), (1715), (1733) are
% 71.75/10.80 | | | | | | | | | | | | | | | | inconsistent by sub-proof #21.
% 71.75/10.80 | | | | | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | | | | | End of split
% 71.75/10.80 | | | | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | | | | Case 2:
% 71.75/10.80 | | | | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | | | | | (1734) ~ (all_38_1 = e1)
% 71.75/10.80 | | | | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | | | | | REDUCE: (1726), (1734) imply:
% 71.75/10.80 | | | | | | | | | | | | | | | (1735) $false
% 71.75/10.80 | | | | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | | | | | CLOSE: (1735) is inconsistent.
% 71.75/10.80 | | | | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | | | | End of split
% 71.75/10.80 | | | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | | | Case 2:
% 71.75/10.80 | | | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | | | | (1736) all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 &
% 71.75/10.80 | | | | | | | | | | | | | | all_56_3 = e0
% 71.75/10.80 | | | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | | | | REF_CLOSE: (600), (1639), (1736) are inconsistent by
% 71.75/10.80 | | | | | | | | | | | | | | sub-proof #29.
% 71.75/10.80 | | | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | | | End of split
% 71.75/10.80 | | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | | End of split
% 71.75/10.80 | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | End of split
% 71.75/10.80 | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | Case 2:
% 71.75/10.80 | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | (1737) all_22_0 = e1
% 71.75/10.80 | | | | | | | | | | | (1738) ~ (all_22_1 = e3)
% 71.75/10.80 | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | COMBINE_EQS: (1662), (1737) imply:
% 71.75/10.80 | | | | | | | | | | | (1739) all_20_0 = e1
% 71.75/10.80 | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | SIMP: (1739) implies:
% 71.75/10.80 | | | | | | | | | | | (1740) all_20_0 = e1
% 71.75/10.80 | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | REDUCE: (667), (1738) imply:
% 71.75/10.80 | | | | | | | | | | | (1741) ~ (all_8_1 = e3)
% 71.75/10.80 | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | REDUCE: (1667), (1740) imply:
% 71.75/10.80 | | | | | | | | | | | (1742) ~ (all_8_0 = e1)
% 71.75/10.80 | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | SIMP: (1742) implies:
% 71.75/10.80 | | | | | | | | | | | (1743) ~ (all_8_0 = e1)
% 71.75/10.80 | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | REDUCE: (749), (1740) imply:
% 71.75/10.80 | | | | | | | | | | | (1744) ~ (all_8_1 = e1)
% 71.75/10.80 | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | SIMP: (1744) implies:
% 71.75/10.80 | | | | | | | | | | | (1745) ~ (all_8_1 = e1)
% 71.75/10.80 | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | BETA: splitting (163) gives:
% 71.75/10.80 | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | Case 1:
% 71.75/10.80 | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | | (1746) (all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 &
% 71.75/10.80 | | | | | | | | | | | | all_56_3 = e3) | (all_56_0 = e2 & all_56_1 = e2
% 71.75/10.80 | | | | | | | | | | | | & all_56_2 = e2 & all_56_3 = e2)
% 71.75/10.80 | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | | BETA: splitting (1746) gives:
% 71.75/10.80 | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | | Case 1:
% 71.75/10.80 | | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | | | (1747) all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 &
% 71.75/10.80 | | | | | | | | | | | | | all_56_3 = e3
% 71.75/10.80 | | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | | | REF_CLOSE: (679), (1741), (1747) are inconsistent by
% 71.75/10.80 | | | | | | | | | | | | | sub-proof #73.
% 71.75/10.80 | | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | | Case 2:
% 71.75/10.80 | | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | | | (1748) all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 &
% 71.75/10.80 | | | | | | | | | | | | | all_56_3 = e2
% 71.75/10.80 | | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | | | ALPHA: (1748) implies:
% 71.75/10.80 | | | | | | | | | | | | | (1749) all_56_3 = e2
% 71.75/10.80 | | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | | | COMBINE_EQS: (679), (1749) imply:
% 71.75/10.80 | | | | | | | | | | | | | (1750) all_8_1 = e2
% 71.75/10.80 | | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | | | SIMP: (1750) implies:
% 71.75/10.80 | | | | | | | | | | | | | (1751) all_8_1 = e2
% 71.75/10.80 | | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | | | REDUCE: (764), (1751) imply:
% 71.75/10.80 | | | | | | | | | | | | | (1752) ~ (all_8_0 = e2)
% 71.75/10.80 | | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | | | REF_CLOSE: (271), (546), (905), (1666), (1743), (1752) are
% 71.75/10.80 | | | | | | | | | | | | | inconsistent by sub-proof #90.
% 71.75/10.80 | | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | | End of split
% 71.75/10.80 | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | Case 2:
% 71.75/10.80 | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | | (1753) (all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 &
% 71.75/10.80 | | | | | | | | | | | | all_56_3 = e1) | (all_56_0 = e0 & all_56_1 = e0
% 71.75/10.80 | | | | | | | | | | | | & all_56_2 = e0 & all_56_3 = e0)
% 71.75/10.80 | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | | BETA: splitting (1753) gives:
% 71.75/10.80 | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | | Case 1:
% 71.75/10.80 | | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | | | (1754) all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 &
% 71.75/10.80 | | | | | | | | | | | | | all_56_3 = e1
% 71.75/10.80 | | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | | | REF_CLOSE: (679), (1745), (1754) are inconsistent by
% 71.75/10.80 | | | | | | | | | | | | | sub-proof #54.
% 71.75/10.80 | | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | | Case 2:
% 71.75/10.80 | | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | | | (1755) all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 &
% 71.75/10.80 | | | | | | | | | | | | | all_56_3 = e0
% 71.75/10.80 | | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | | | REF_CLOSE: (600), (1639), (1755) are inconsistent by
% 71.75/10.80 | | | | | | | | | | | | | sub-proof #29.
% 71.75/10.80 | | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | | End of split
% 71.75/10.80 | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | End of split
% 71.75/10.80 | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | End of split
% 71.75/10.80 | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | End of split
% 71.75/10.80 | | | | | | | | |
% 71.75/10.80 | | | | | | | | End of split
% 71.75/10.80 | | | | | | | |
% 71.75/10.80 | | | | | | | Case 2:
% 71.75/10.80 | | | | | | | |
% 71.75/10.80 | | | | | | | | (1756) all_14_0 = e0
% 71.75/10.80 | | | | | | | | (1757) ~ (all_14_1 = e1)
% 71.75/10.80 | | | | | | | |
% 71.75/10.80 | | | | | | | | REDUCE: (737), (1756) imply:
% 71.75/10.80 | | | | | | | | (1758) ~ (all_36_0 = e0)
% 71.75/10.80 | | | | | | | |
% 71.75/10.80 | | | | | | | | REDUCE: (731), (1756) imply:
% 71.75/10.80 | | | | | | | | (1759) ~ (all_10_0 = e0)
% 71.75/10.80 | | | | | | | |
% 71.75/10.80 | | | | | | | | SIMP: (1759) implies:
% 71.75/10.80 | | | | | | | | (1760) ~ (all_10_0 = e0)
% 71.75/10.80 | | | | | | | |
% 71.75/10.80 | | | | | | | | REDUCE: (730), (1756) imply:
% 71.75/10.80 | | | | | | | | (1761) ~ (all_10_1 = e0)
% 71.75/10.80 | | | | | | | |
% 71.75/10.80 | | | | | | | | SIMP: (1761) implies:
% 71.75/10.80 | | | | | | | | (1762) ~ (all_10_1 = e0)
% 71.75/10.80 | | | | | | | |
% 71.75/10.80 | | | | | | | | REDUCE: (704), (1756) imply:
% 71.75/10.80 | | | | | | | | (1763) ~ (all_4_1 = e0)
% 71.75/10.80 | | | | | | | |
% 71.75/10.80 | | | | | | | | SIMP: (1763) implies:
% 71.75/10.80 | | | | | | | | (1764) ~ (all_4_1 = e0)
% 71.75/10.80 | | | | | | | |
% 71.75/10.80 | | | | | | | | REDUCE: (671), (1757) imply:
% 71.75/10.80 | | | | | | | | (1765) ~ (all_10_1 = e1)
% 71.75/10.80 | | | | | | | |
% 71.75/10.80 | | | | | | | | REDUCE: (775), (1756) imply:
% 71.75/10.80 | | | | | | | | (1766) op(e0, e3) = all_66_4
% 71.75/10.80 | | | | | | | |
% 71.75/10.80 | | | | | | | | REDUCE: (776), (1756) imply:
% 71.75/10.80 | | | | | | | | (1767) op(e0, e2) = all_66_5
% 71.75/10.80 | | | | | | | |
% 71.75/10.80 | | | | | | | | REDUCE: (778), (1756) imply:
% 71.75/10.80 | | | | | | | | (1768) op(e0, e0) = all_66_7
% 71.75/10.80 | | | | | | | |
% 71.75/10.80 | | | | | | | | REDUCE: (836), (1756) imply:
% 71.75/10.80 | | | | | | | | (1769) op(e3, e0) = all_66_1
% 71.75/10.80 | | | | | | | |
% 71.75/10.80 | | | | | | | | REDUCE: (870), (1756) imply:
% 71.75/10.80 | | | | | | | | (1770) op(e1, e0) = all_66_33
% 71.75/10.80 | | | | | | | |
% 71.75/10.80 | | | | | | | | REDUCE: (887), (1756) imply:
% 71.75/10.80 | | | | | | | | (1771) op(e0, e0) = all_66_51
% 71.75/10.80 | | | | | | | |
% 71.75/10.80 | | | | | | | | GROUND_INST: instantiating (45) with all_8_1, all_66_7, e0, e0,
% 71.75/10.80 | | | | | | | | simplifying with (55), (1768) gives:
% 71.75/10.80 | | | | | | | | (1772) all_66_7 = all_8_1
% 71.75/10.80 | | | | | | | |
% 71.75/10.80 | | | | | | | | GROUND_INST: instantiating (45) with all_66_51, all_66_7, e0,
% 71.75/10.80 | | | | | | | | e0, simplifying with (1768), (1771) gives:
% 71.75/10.80 | | | | | | | | (1773) all_66_7 = all_66_51
% 71.75/10.80 | | | | | | | |
% 71.75/10.80 | | | | | | | | GROUND_INST: instantiating (45) with all_20_0, all_66_5, e2, e0,
% 71.75/10.80 | | | | | | | | simplifying with (79), (1767) gives:
% 71.75/10.80 | | | | | | | | (1774) all_66_5 = all_20_0
% 71.75/10.80 | | | | | | | |
% 71.75/10.80 | | | | | | | | GROUND_INST: instantiating (45) with all_28_0, all_66_4, e3, e0,
% 71.75/10.80 | | | | | | | | simplifying with (95), (1766) gives:
% 71.75/10.80 | | | | | | | | (1775) all_66_4 = all_28_0
% 71.75/10.80 | | | | | | | |
% 71.75/10.80 | | | | | | | | GROUND_INST: instantiating (45) with all_8_0, all_66_33, e0, e1,
% 71.75/10.80 | | | | | | | | simplifying with (56), (1770) gives:
% 71.75/10.80 | | | | | | | | (1776) all_66_33 = all_8_0
% 71.75/10.80 | | | | | | | |
% 71.75/10.80 | | | | | | | | GROUND_INST: instantiating (45) with all_36_0, all_66_1, e0, e3,
% 71.75/10.80 | | | | | | | | simplifying with (112), (1769) gives:
% 71.75/10.80 | | | | | | | | (1777) all_66_1 = all_36_0
% 71.75/10.80 | | | | | | | |
% 71.75/10.80 | | | | | | | | COMBINE_EQS: (1772), (1773) imply:
% 71.75/10.80 | | | | | | | | (1778) all_66_51 = all_8_1
% 71.75/10.80 | | | | | | | |
% 71.75/10.80 | | | | | | | | BETA: splitting (73) gives:
% 71.75/10.80 | | | | | | | |
% 71.75/10.80 | | | | | | | | Case 1:
% 71.75/10.80 | | | | | | | | |
% 71.75/10.80 | | | | | | | | | (1779) ~ (all_16_0 = e0)
% 71.75/10.80 | | | | | | | | |
% 71.75/10.80 | | | | | | | | | REDUCE: (607), (1779) imply:
% 71.75/10.80 | | | | | | | | | (1780) ~ (all_12_0 = e0)
% 71.75/10.80 | | | | | | | | |
% 71.75/10.80 | | | | | | | | | BETA: splitting (81) gives:
% 71.75/10.80 | | | | | | | | |
% 71.75/10.80 | | | | | | | | | Case 1:
% 71.75/10.80 | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | (1781) ~ (all_20_0 = e1)
% 71.75/10.80 | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | BETA: splitting (85) gives:
% 71.75/10.80 | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | Case 1:
% 71.75/10.80 | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | (1782) ~ (all_22_0 = e1)
% 71.75/10.80 | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | BETA: splitting (89) gives:
% 71.75/10.80 | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | Case 1:
% 71.75/10.80 | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | | (1783) ~ (all_24_0 = e2)
% 71.75/10.80 | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | | REDUCE: (616), (1783) imply:
% 71.75/10.80 | | | | | | | | | | | | (1784) ~ (all_8_0 = e2)
% 71.75/10.80 | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | | BETA: splitting (97) gives:
% 71.75/10.80 | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | | Case 1:
% 71.75/10.80 | | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | | | (1785) ~ (all_28_0 = e2)
% 71.75/10.80 | | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | | | BETA: splitting (101) gives:
% 71.75/10.80 | | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | | | Case 1:
% 71.75/10.80 | | | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | | | | (1786) ~ (all_30_0 = e0)
% 71.75/10.80 | | | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | | | | REDUCE: (593), (1786) imply:
% 71.75/10.80 | | | | | | | | | | | | | | (1787) ~ (all_6_0 = e0)
% 71.75/10.80 | | | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | | | | BETA: splitting (105) gives:
% 71.75/10.80 | | | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | | | | Case 1:
% 71.75/10.80 | | | | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | | | | | (1788) ~ (all_32_0 = e0)
% 71.75/10.80 | | | | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | | | | | REDUCE: (595), (1788) imply:
% 71.75/10.80 | | | | | | | | | | | | | | | (1789) ~ (all_4_0 = e0)
% 71.75/10.80 | | | | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | | | | | BETA: splitting (109) gives:
% 71.75/10.80 | | | | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | | | | | Case 1:
% 71.75/10.80 | | | | | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | | | | | | (1790) ~ (all_34_0 = e1)
% 71.75/10.80 | | | | | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | | | | | | REDUCE: (596), (1790) imply:
% 71.75/10.80 | | | | | | | | | | | | | | | | (1791) ~ (all_28_0 = e1)
% 71.75/10.80 | | | | | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | | | | | | BETA: splitting (113) gives:
% 71.75/10.80 | | | | | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | | | | | | Case 1:
% 71.75/10.80 | | | | | | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | | | | | | | (1792) ~ (all_36_0 = e2)
% 71.75/10.80 | | | | | | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | | | | | | | BETA: splitting (129) gives:
% 71.75/10.80 | | | | | | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | | | | | | | Case 1:
% 71.75/10.80 | | | | | | | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | | | | | | | | (1793) ~ (all_44_0 = e1)
% 71.75/10.80 | | | | | | | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | | | | | | | | REDUCE: (613), (1793) imply:
% 71.75/10.80 | | | | | | | | | | | | | | | | | | (1794) ~ (all_36_0 = e1)
% 71.75/10.80 | | | | | | | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | | | | | | | | BETA: splitting (278) gives:
% 71.75/10.80 | | | | | | | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | | | | | | | | Case 1:
% 71.75/10.80 | | | | | | | | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | | | | | | | | | (1795) all_64_3 = e3
% 71.75/10.80 | | | | | | | | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (529), (1795) imply:
% 71.75/10.80 | | | | | | | | | | | | | | | | | | | (1796) all_36_0 = e3
% 71.75/10.80 | | | | | | | | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | | | | | | | | | SIMP: (1796) implies:
% 71.75/10.80 | | | | | | | | | | | | | | | | | | | (1797) all_36_0 = e3
% 71.75/10.80 | | | | | | | | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | | | | | | | | | REDUCE: (708), (1797) imply:
% 71.75/10.80 | | | | | | | | | | | | | | | | | | | (1798) ~ (all_4_1 = e3)
% 71.75/10.80 | | | | | | | | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | | | | | | | | | SIMP: (1798) implies:
% 71.75/10.80 | | | | | | | | | | | | | | | | | | | (1799) ~ (all_4_1 = e3)
% 71.75/10.80 | | | | | | | | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 71.75/10.80 | | | | | | | | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | | | | | | | | | Case 1:
% 71.75/10.80 | | | | | | | | | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | | | | | | | | | | (1800) (all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 &
% 71.75/10.80 | | | | | | | | | | | | | | | | | | | | all_56_3 = e3) | (all_56_0 = e2 & all_56_1 = e2
% 71.75/10.80 | | | | | | | | | | | | | | | | | | | | & all_56_2 = e2 & all_56_3 = e2)
% 71.75/10.80 | | | | | | | | | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | | | | | | | | | | BETA: splitting (1800) gives:
% 71.75/10.80 | | | | | | | | | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.75/10.80 | | | | | | | | | | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | | | | | | | | | | | (1801) all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 &
% 71.75/10.80 | | | | | | | | | | | | | | | | | | | | | all_56_3 = e3
% 71.75/10.80 | | | | | | | | | | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (559), (1799), (1801) are inconsistent by
% 71.75/10.80 | | | | | | | | | | | | | | | | | | | | | sub-proof #79.
% 71.75/10.80 | | | | | | | | | | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.75/10.80 | | | | | | | | | | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | | | | | | | | | | | (1802) all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 &
% 71.75/10.80 | | | | | | | | | | | | | | | | | | | | | all_56_3 = e2
% 71.75/10.80 | | | | | | | | | | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | | | | | | | | | | | ALPHA: (1802) implies:
% 71.75/10.80 | | | | | | | | | | | | | | | | | | | | | (1803) all_56_1 = e2
% 71.75/10.80 | | | | | | | | | | | | | | | | | | | | | (1804) all_56_0 = e2
% 71.75/10.80 | | | | | | | | | | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (559), (1804) imply:
% 71.75/10.80 | | | | | | | | | | | | | | | | | | | | | (1805) all_4_1 = e2
% 71.75/10.80 | | | | | | | | | | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | | | | | | | | | | | SIMP: (1805) implies:
% 71.75/10.80 | | | | | | | | | | | | | | | | | | | | | (1806) all_4_1 = e2
% 71.75/10.80 | | | | | | | | | | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (600), (1803) imply:
% 71.75/10.80 | | | | | | | | | | | | | | | | | | | | | (1807) all_10_1 = e2
% 71.75/10.80 | | | | | | | | | | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | | | | | | | | | | | SIMP: (1807) implies:
% 71.75/10.80 | | | | | | | | | | | | | | | | | | | | | (1808) all_10_1 = e2
% 71.75/10.80 | | | | | | | | | | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | | | | | | | | | | | REDUCE: (698), (1806) imply:
% 71.75/10.80 | | | | | | | | | | | | | | | | | | | | | (1809) ~ (all_6_0 = e2)
% 71.75/10.80 | | | | | | | | | | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (15), (163), (272), (273), (277), (542),
% 71.75/10.80 | | | | | | | | | | | | | | | | | | | | | (559), (600), (680), (686), (689), (698), (700),
% 71.75/10.80 | | | | | | | | | | | | | | | | | | | | | (709), (721), (723), (739), (903), (904), (953),
% 71.75/10.80 | | | | | | | | | | | | | | | | | | | | | (1760), (1764), (1787), (1789), (1809) are
% 71.75/10.80 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #76.
% 71.75/10.80 | | | | | | | | | | | | | | | | | | | | |
% 71.75/10.80 | | | | | | | | | | | | | | | | | | | | End of split
% 71.75/10.80 | | | | | | | | | | | | | | | | | | | |
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | Case 2:
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | |
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | | (1810) (all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 &
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | | all_56_3 = e1) | (all_56_0 = e0 & all_56_1 = e0
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | | & all_56_2 = e0 & all_56_3 = e0)
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | |
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | | BETA: splitting (1810) gives:
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | |
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | | |
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | | | (1811) all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 &
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | | | all_56_3 = e1
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | | |
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (600), (1765), (1811) are inconsistent by
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | | | sub-proof #71.
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | | |
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | | |
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | | | (1812) all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 &
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | | | all_56_3 = e0
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | | |
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (559), (1764), (1812) are inconsistent by
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | | | sub-proof #77.
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | | |
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | | End of split
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | |
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | End of split
% 71.75/10.81 | | | | | | | | | | | | | | | | | | |
% 71.75/10.81 | | | | | | | | | | | | | | | | | | Case 2:
% 71.75/10.81 | | | | | | | | | | | | | | | | | | |
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | (1813) all_64_3 = e2 | all_64_3 = e1 | all_64_3 = e0
% 71.75/10.81 | | | | | | | | | | | | | | | | | | |
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (529), (1758), (1792), (1794), (1813) are
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #19.
% 71.75/10.81 | | | | | | | | | | | | | | | | | | |
% 71.75/10.81 | | | | | | | | | | | | | | | | | | End of split
% 71.75/10.81 | | | | | | | | | | | | | | | | | |
% 71.75/10.81 | | | | | | | | | | | | | | | | | Case 2:
% 71.75/10.81 | | | | | | | | | | | | | | | | | |
% 71.75/10.81 | | | | | | | | | | | | | | | | | | (1814) all_44_0 = e1
% 71.75/10.81 | | | | | | | | | | | | | | | | | | (1815) ~ (all_44_1 = e2)
% 71.75/10.81 | | | | | | | | | | | | | | | | | |
% 71.75/10.81 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (613), (1814) imply:
% 71.75/10.81 | | | | | | | | | | | | | | | | | | (1816) all_36_0 = e1
% 71.75/10.81 | | | | | | | | | | | | | | | | | |
% 71.75/10.81 | | | | | | | | | | | | | | | | | | REDUCE: (556), (1815) imply:
% 71.75/10.81 | | | | | | | | | | | | | | | | | | (1817) ~ (all_8_1 = e2)
% 71.75/10.81 | | | | | | | | | | | | | | | | | |
% 71.75/10.81 | | | | | | | | | | | | | | | | | | REDUCE: (760), (1816) imply:
% 71.75/10.81 | | | | | | | | | | | | | | | | | | (1818) ~ (all_22_0 = e1)
% 71.75/10.81 | | | | | | | | | | | | | | | | | |
% 71.75/10.81 | | | | | | | | | | | | | | | | | | REDUCE: (708), (1816) imply:
% 71.75/10.81 | | | | | | | | | | | | | | | | | | (1819) ~ (all_4_1 = e1)
% 71.75/10.81 | | | | | | | | | | | | | | | | | |
% 71.75/10.81 | | | | | | | | | | | | | | | | | | SIMP: (1819) implies:
% 71.75/10.81 | | | | | | | | | | | | | | | | | | (1820) ~ (all_4_1 = e1)
% 71.75/10.81 | | | | | | | | | | | | | | | | | |
% 71.75/10.81 | | | | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 71.75/10.81 | | | | | | | | | | | | | | | | | |
% 71.75/10.81 | | | | | | | | | | | | | | | | | | Case 1:
% 71.75/10.81 | | | | | | | | | | | | | | | | | | |
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | (1821) (all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 &
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | all_56_3 = e3) | (all_56_0 = e2 & all_56_1 = e2
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | & all_56_2 = e2 & all_56_3 = e2)
% 71.75/10.81 | | | | | | | | | | | | | | | | | | |
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | BETA: splitting (1821) gives:
% 71.75/10.81 | | | | | | | | | | | | | | | | | | |
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | Case 1:
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | |
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | | (1822) all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 &
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | | all_56_3 = e3
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | |
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (47), (48), (51), (55), (56), (59), (60),
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | | (63), (79), (95), (112), (120), (163), (169),
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | | (170), (171), (172), (173), (174), (175), (176),
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | | (177), (178), (188), (189), (190), (191), (270),
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | | (271), (272), (273), (274), (275), (277), (279),
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | | (494), (512), (515), (518), (521), (542), (546),
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | | (559), (600), (620), (622), (624), (625), (679),
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | | (680), (684), (686), (687), (688), (689), (698),
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | | (700), (702), (709), (711), (713), (717), (719),
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | | (721), (723), (725), (729), (739), (741), (749),
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | | (750), (758), (760), (762), (763), (764), (765),
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | | (766), (767), (768), (769), (770), (851), (868),
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | | (885), (902), (903), (904), (951), (952), (1760),
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | | (1780), (1781), (1782), (1784), (1785), (1787),
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | | (1789), (1791), (1822) are inconsistent by
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | | sub-proof #18.
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | |
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | Case 2:
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | |
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | | (1823) all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 &
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | | all_56_3 = e2
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | |
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (679), (1817), (1823) are inconsistent by
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | | sub-proof #28.
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | |
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | End of split
% 71.75/10.81 | | | | | | | | | | | | | | | | | | |
% 71.75/10.81 | | | | | | | | | | | | | | | | | | Case 2:
% 71.75/10.81 | | | | | | | | | | | | | | | | | | |
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | (1824) (all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 &
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | all_56_3 = e1) | (all_56_0 = e0 & all_56_1 = e0
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | & all_56_2 = e0 & all_56_3 = e0)
% 71.75/10.81 | | | | | | | | | | | | | | | | | | |
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | BETA: splitting (1824) gives:
% 71.75/10.81 | | | | | | | | | | | | | | | | | | |
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | Case 1:
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | |
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | | (1825) all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 &
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | | all_56_3 = e1
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | |
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (559), (1820), (1825) are inconsistent by
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | | sub-proof #65.
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | |
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | Case 2:
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | |
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | | (1826) all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 &
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | | all_56_3 = e0
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | |
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (559), (1764), (1826) are inconsistent by
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | | sub-proof #77.
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | |
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | End of split
% 71.75/10.81 | | | | | | | | | | | | | | | | | | |
% 71.75/10.81 | | | | | | | | | | | | | | | | | | End of split
% 71.75/10.81 | | | | | | | | | | | | | | | | | |
% 71.75/10.81 | | | | | | | | | | | | | | | | | End of split
% 71.75/10.81 | | | | | | | | | | | | | | | | |
% 71.75/10.81 | | | | | | | | | | | | | | | | Case 2:
% 71.75/10.81 | | | | | | | | | | | | | | | | |
% 71.75/10.81 | | | | | | | | | | | | | | | | | (1827) all_36_0 = e2
% 71.75/10.81 | | | | | | | | | | | | | | | | | (1828) ~ (all_36_1 = e1)
% 71.75/10.81 | | | | | | | | | | | | | | | | |
% 71.75/10.81 | | | | | | | | | | | | | | | | | REDUCE: (761), (1827) imply:
% 71.75/10.81 | | | | | | | | | | | | | | | | | (1829) ~ (all_8_0 = e2)
% 71.75/10.81 | | | | | | | | | | | | | | | | |
% 71.75/10.81 | | | | | | | | | | | | | | | | | REDUCE: (708), (1827) imply:
% 71.75/10.81 | | | | | | | | | | | | | | | | | (1830) ~ (all_4_1 = e2)
% 71.75/10.81 | | | | | | | | | | | | | | | | |
% 71.75/10.81 | | | | | | | | | | | | | | | | | SIMP: (1830) implies:
% 71.75/10.81 | | | | | | | | | | | | | | | | | (1831) ~ (all_4_1 = e2)
% 71.75/10.81 | | | | | | | | | | | | | | | | |
% 71.75/10.81 | | | | | | | | | | | | | | | | | REDUCE: (674), (1828) imply:
% 71.75/10.81 | | | | | | | | | | | | | | | | | (1832) ~ (all_8_1 = e1)
% 71.75/10.81 | | | | | | | | | | | | | | | | |
% 71.75/10.81 | | | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 71.75/10.81 | | | | | | | | | | | | | | | | |
% 71.75/10.81 | | | | | | | | | | | | | | | | | Case 1:
% 71.75/10.81 | | | | | | | | | | | | | | | | | |
% 71.75/10.81 | | | | | | | | | | | | | | | | | | (1833) (all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 &
% 71.75/10.81 | | | | | | | | | | | | | | | | | | all_56_3 = e3) | (all_56_0 = e2 & all_56_1 = e2
% 71.75/10.81 | | | | | | | | | | | | | | | | | | & all_56_2 = e2 & all_56_3 = e2)
% 71.75/10.81 | | | | | | | | | | | | | | | | | |
% 71.75/10.81 | | | | | | | | | | | | | | | | | | BETA: splitting (1833) gives:
% 71.75/10.81 | | | | | | | | | | | | | | | | | |
% 71.75/10.81 | | | | | | | | | | | | | | | | | | Case 1:
% 71.75/10.81 | | | | | | | | | | | | | | | | | | |
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | (1834) all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 &
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | all_56_3 = e3
% 71.75/10.81 | | | | | | | | | | | | | | | | | | |
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (47), (48), (51), (55), (56), (59), (60),
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | (63), (79), (95), (112), (120), (163), (169),
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | (170), (171), (172), (173), (174), (175), (176),
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | (177), (178), (188), (189), (190), (191), (270),
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | (271), (272), (273), (274), (275), (277), (279),
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | (494), (512), (515), (518), (521), (542), (546),
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | (559), (600), (620), (622), (624), (625), (679),
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | (680), (684), (686), (687), (688), (689), (698),
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | (700), (702), (709), (711), (713), (717), (719),
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | (721), (723), (725), (729), (739), (741), (749),
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | (750), (758), (760), (762), (763), (764), (765),
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | (766), (767), (768), (769), (770), (851), (868),
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | (885), (902), (903), (904), (951), (952), (1760),
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | (1780), (1781), (1782), (1784), (1785), (1787),
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | (1789), (1791), (1834) are inconsistent by
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | sub-proof #18.
% 71.75/10.81 | | | | | | | | | | | | | | | | | | |
% 71.75/10.81 | | | | | | | | | | | | | | | | | | Case 2:
% 71.75/10.81 | | | | | | | | | | | | | | | | | | |
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | (1835) all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 &
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | all_56_3 = e2
% 71.75/10.81 | | | | | | | | | | | | | | | | | | |
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (559), (1831), (1835) are inconsistent by
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | sub-proof #72.
% 71.75/10.81 | | | | | | | | | | | | | | | | | | |
% 71.75/10.81 | | | | | | | | | | | | | | | | | | End of split
% 71.75/10.81 | | | | | | | | | | | | | | | | | |
% 71.75/10.81 | | | | | | | | | | | | | | | | | Case 2:
% 71.75/10.81 | | | | | | | | | | | | | | | | | |
% 71.75/10.81 | | | | | | | | | | | | | | | | | | (1836) (all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 &
% 71.75/10.81 | | | | | | | | | | | | | | | | | | all_56_3 = e1) | (all_56_0 = e0 & all_56_1 = e0
% 71.75/10.81 | | | | | | | | | | | | | | | | | | & all_56_2 = e0 & all_56_3 = e0)
% 71.75/10.81 | | | | | | | | | | | | | | | | | |
% 71.75/10.81 | | | | | | | | | | | | | | | | | | BETA: splitting (1836) gives:
% 71.75/10.81 | | | | | | | | | | | | | | | | | |
% 71.75/10.81 | | | | | | | | | | | | | | | | | | Case 1:
% 71.75/10.81 | | | | | | | | | | | | | | | | | | |
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | (1837) all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 &
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | all_56_3 = e1
% 71.75/10.81 | | | | | | | | | | | | | | | | | | |
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (679), (1832), (1837) are inconsistent by
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | sub-proof #54.
% 71.75/10.81 | | | | | | | | | | | | | | | | | | |
% 71.75/10.81 | | | | | | | | | | | | | | | | | | Case 2:
% 71.75/10.81 | | | | | | | | | | | | | | | | | | |
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | (1838) all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 &
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | all_56_3 = e0
% 71.75/10.81 | | | | | | | | | | | | | | | | | | |
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (559), (1764), (1838) are inconsistent by
% 71.75/10.81 | | | | | | | | | | | | | | | | | | | sub-proof #77.
% 71.75/10.81 | | | | | | | | | | | | | | | | | | |
% 71.75/10.81 | | | | | | | | | | | | | | | | | | End of split
% 71.75/10.81 | | | | | | | | | | | | | | | | | |
% 71.75/10.81 | | | | | | | | | | | | | | | | | End of split
% 71.75/10.81 | | | | | | | | | | | | | | | | |
% 71.75/10.81 | | | | | | | | | | | | | | | | End of split
% 71.75/10.81 | | | | | | | | | | | | | | | |
% 71.75/10.81 | | | | | | | | | | | | | | | Case 2:
% 71.75/10.81 | | | | | | | | | | | | | | | |
% 71.75/10.81 | | | | | | | | | | | | | | | | (1839) all_34_0 = e1
% 71.75/10.81 | | | | | | | | | | | | | | | | (1840) ~ (all_34_1 = e2)
% 71.75/10.81 | | | | | | | | | | | | | | | |
% 71.75/10.81 | | | | | | | | | | | | | | | | COMBINE_EQS: (596), (1839) imply:
% 71.75/10.81 | | | | | | | | | | | | | | | | (1841) all_28_0 = e1
% 71.75/10.81 | | | | | | | | | | | | | | | |
% 71.75/10.81 | | | | | | | | | | | | | | | | REDUCE: (673), (1840) imply:
% 71.75/10.81 | | | | | | | | | | | | | | | | (1842) ~ (all_4_1 = e2)
% 71.75/10.81 | | | | | | | | | | | | | | | |
% 71.75/10.81 | | | | | | | | | | | | | | | | REDUCE: (719), (1841) imply:
% 71.75/10.81 | | | | | | | | | | | | | | | | (1843) ~ (all_4_0 = e1)
% 71.75/10.81 | | | | | | | | | | | | | | | |
% 71.75/10.81 | | | | | | | | | | | | | | | | SIMP: (1843) implies:
% 71.75/10.81 | | | | | | | | | | | | | | | | (1844) ~ (all_4_0 = e1)
% 71.75/10.81 | | | | | | | | | | | | | | | |
% 71.75/10.81 | | | | | | | | | | | | | | | | REDUCE: (702), (1841) imply:
% 71.75/10.81 | | | | | | | | | | | | | | | | (1845) ~ (all_4_1 = e1)
% 71.75/10.81 | | | | | | | | | | | | | | | |
% 71.75/10.81 | | | | | | | | | | | | | | | | SIMP: (1845) implies:
% 71.75/10.81 | | | | | | | | | | | | | | | | (1846) ~ (all_4_1 = e1)
% 71.75/10.81 | | | | | | | | | | | | | | | |
% 71.75/10.81 | | | | | | | | | | | | | | | | REF_CLOSE: (163), (273), (559), (686), (700), (903), (1764),
% 71.75/10.81 | | | | | | | | | | | | | | | | (1789), (1842), (1844), (1846) are inconsistent by
% 71.75/10.81 | | | | | | | | | | | | | | | | sub-proof #51.
% 71.75/10.81 | | | | | | | | | | | | | | | |
% 71.75/10.81 | | | | | | | | | | | | | | | End of split
% 71.75/10.81 | | | | | | | | | | | | | | |
% 71.75/10.81 | | | | | | | | | | | | | | Case 2:
% 71.75/10.81 | | | | | | | | | | | | | | |
% 71.75/10.81 | | | | | | | | | | | | | | | (1847) all_32_0 = e0
% 71.75/10.81 | | | | | | | | | | | | | | | (1848) ~ (all_32_1 = e2)
% 71.75/10.81 | | | | | | | | | | | | | | |
% 71.75/10.81 | | | | | | | | | | | | | | | COMBINE_EQS: (595), (1847) imply:
% 71.75/10.81 | | | | | | | | | | | | | | | (1849) all_4_0 = e0
% 71.75/10.81 | | | | | | | | | | | | | | |
% 71.75/10.81 | | | | | | | | | | | | | | | SIMP: (1849) implies:
% 71.75/10.81 | | | | | | | | | | | | | | | (1850) all_4_0 = e0
% 71.75/10.81 | | | | | | | | | | | | | | |
% 71.75/10.81 | | | | | | | | | | | | | | | REDUCE: (634), (1848) imply:
% 71.75/10.81 | | | | | | | | | | | | | | | (1851) ~ (all_4_1 = e2)
% 71.75/10.81 | | | | | | | | | | | | | | |
% 71.75/10.81 | | | | | | | | | | | | | | | REDUCE: (725), (1850) imply:
% 71.75/10.81 | | | | | | | | | | | | | | | (1852) ~ (all_8_0 = e0)
% 71.75/10.81 | | | | | | | | | | | | | | |
% 71.75/10.81 | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 71.75/10.81 | | | | | | | | | | | | | | |
% 71.75/10.81 | | | | | | | | | | | | | | | Case 1:
% 71.75/10.81 | | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | | (1853) (all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 &
% 71.75/10.82 | | | | | | | | | | | | | | | | all_56_3 = e3) | (all_56_0 = e2 & all_56_1 = e2
% 71.75/10.82 | | | | | | | | | | | | | | | | & all_56_2 = e2 & all_56_3 = e2)
% 71.75/10.82 | | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | | BETA: splitting (1853) gives:
% 71.75/10.82 | | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | | Case 1:
% 71.75/10.82 | | | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | | | (1854) all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 &
% 71.75/10.82 | | | | | | | | | | | | | | | | | all_56_3 = e3
% 71.75/10.82 | | | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | | | ALPHA: (1854) implies:
% 71.75/10.82 | | | | | | | | | | | | | | | | | (1855) all_56_3 = e3
% 71.75/10.82 | | | | | | | | | | | | | | | | | (1856) all_56_2 = e3
% 71.75/10.82 | | | | | | | | | | | | | | | | | (1857) all_56_1 = e3
% 71.75/10.82 | | | | | | | | | | | | | | | | | (1858) all_56_0 = e3
% 71.75/10.82 | | | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | | | COMBINE_EQS: (559), (1858) imply:
% 71.75/10.82 | | | | | | | | | | | | | | | | | (1859) all_4_1 = e3
% 71.75/10.82 | | | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | | | SIMP: (1859) implies:
% 71.75/10.82 | | | | | | | | | | | | | | | | | (1860) all_4_1 = e3
% 71.75/10.82 | | | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | | | COMBINE_EQS: (600), (1857) imply:
% 71.75/10.82 | | | | | | | | | | | | | | | | | (1861) all_10_1 = e3
% 71.75/10.82 | | | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | | | SIMP: (1861) implies:
% 71.75/10.82 | | | | | | | | | | | | | | | | | (1862) all_10_1 = e3
% 71.75/10.82 | | | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | | | COMBINE_EQS: (680), (1856) imply:
% 71.75/10.82 | | | | | | | | | | | | | | | | | (1863) all_12_1 = e3
% 71.75/10.82 | | | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | | | SIMP: (1863) implies:
% 71.75/10.82 | | | | | | | | | | | | | | | | | (1864) all_12_1 = e3
% 71.75/10.82 | | | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | | | COMBINE_EQS: (679), (1855) imply:
% 71.75/10.82 | | | | | | | | | | | | | | | | | (1865) all_8_1 = e3
% 71.75/10.82 | | | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | | | SIMP: (1865) implies:
% 71.75/10.82 | | | | | | | | | | | | | | | | | (1866) all_8_1 = e3
% 71.75/10.82 | | | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | | | COMBINE_EQS: (678), (1864) imply:
% 71.75/10.82 | | | | | | | | | | | | | | | | | (1867) all_50_1 = e3
% 71.75/10.82 | | | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | | | REDUCE: (759), (1866) imply:
% 71.75/10.82 | | | | | | | | | | | | | | | | | (1868) ~ (all_42_0 = e3)
% 71.75/10.82 | | | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | | | REDUCE: (702), (1860) imply:
% 71.75/10.82 | | | | | | | | | | | | | | | | | (1869) ~ (all_28_0 = e3)
% 71.75/10.82 | | | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | | | REDUCE: (749), (1866) imply:
% 71.75/10.82 | | | | | | | | | | | | | | | | | (1870) ~ (all_20_0 = e3)
% 71.75/10.82 | | | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | | | BETA: splitting (141) gives:
% 71.75/10.82 | | | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | | | Case 1:
% 71.75/10.82 | | | | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | | | | (1871) ~ (all_50_0 = e2)
% 71.75/10.82 | | | | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | | | | REDUCE: (611), (1871) imply:
% 71.75/10.82 | | | | | | | | | | | | | | | | | | (1872) ~ (all_42_0 = e2)
% 71.75/10.82 | | | | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | | | | BETA: splitting (269) gives:
% 71.75/10.82 | | | | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | | | | Case 1:
% 71.75/10.82 | | | | | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | (1873) all_64_13 = e3
% 71.75/10.82 | | | | | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (550), (1870), (1873) are inconsistent by
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | sub-proof #17.
% 71.75/10.82 | | | | | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | | | | Case 2:
% 71.75/10.82 | | | | | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | (1874) all_64_13 = e2 | all_64_13 = e1 | all_64_13 = e0
% 71.75/10.82 | | | | | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | BETA: splitting (1874) gives:
% 71.75/10.82 | | | | | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | Case 1:
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | | (1875) all_64_13 = e2
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (550), (1875) imply:
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | | (1876) all_20_0 = e2
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | | SIMP: (1876) implies:
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | | (1877) all_20_0 = e2
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | | REDUCE: (745), (1877) imply:
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | | (1878) ~ (all_10_0 = e2)
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | | SIMP: (1878) implies:
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | | (1879) ~ (all_10_0 = e2)
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | | BETA: splitting (272) gives:
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | | | (1880) all_64_9 = e3
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (542), (1880) imply:
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | | | (1881) all_10_0 = e3
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | | | REDUCE: (953), (1881) imply:
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | | | (1882) $false
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | | | CLOSE: (1882) is inconsistent.
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | | | (1883) all_64_9 = e2 | all_64_9 = e1 | all_64_9 = e0
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1883) gives:
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | | | | (1884) all_64_9 = e2
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (542), (1884) imply:
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | | | | (1885) all_10_0 = e2
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1879), (1885) imply:
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | | | | (1886) $false
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1886) is inconsistent.
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | | | | (1887) all_64_9 = e1 | all_64_9 = e0
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1887) gives:
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | | | | | (1888) all_64_9 = e1
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (542), (1888) imply:
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | | | | | (1889) all_10_0 = e1
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (746), (1889) imply:
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | | | | | (1890) ~ (all_8_0 = e1)
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1890) implies:
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | | | | | (1891) ~ (all_8_0 = e1)
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (271), (546), (905), (1784), (1852), (1891) are
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #90.
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | | | | | (1892) all_64_9 = e0
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (542), (1892) imply:
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | | | | | (1893) all_10_0 = e0
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1760), (1893) imply:
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | | | | | (1894) $false
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1894) is inconsistent.
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | | | | End of split
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | | | End of split
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | | End of split
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | Case 2:
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | | (1895) all_64_13 = e1 | all_64_13 = e0
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (268), (270), (550), (551), (684), (726), (728),
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | | (748), (1781), (1785), (1868), (1869), (1872),
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | | (1895) are inconsistent by sub-proof #56.
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | | | | | End of split
% 71.75/10.82 | | | | | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | | | | End of split
% 71.75/10.82 | | | | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | | | Case 2:
% 71.75/10.82 | | | | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | | | | (1896) ~ (all_50_1 = e3)
% 71.75/10.82 | | | | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | | | | REDUCE: (1867), (1896) imply:
% 71.75/10.82 | | | | | | | | | | | | | | | | | | (1897) $false
% 71.75/10.82 | | | | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | | | | CLOSE: (1897) is inconsistent.
% 71.75/10.82 | | | | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | | | End of split
% 71.75/10.82 | | | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | | Case 2:
% 71.75/10.82 | | | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | | | (1898) all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 &
% 71.75/10.82 | | | | | | | | | | | | | | | | | all_56_3 = e2
% 71.75/10.82 | | | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | | | REF_CLOSE: (559), (1851), (1898) are inconsistent by
% 71.75/10.82 | | | | | | | | | | | | | | | | | sub-proof #72.
% 71.75/10.82 | | | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | | End of split
% 71.75/10.82 | | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | Case 2:
% 71.75/10.82 | | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | | (1899) (all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 &
% 71.75/10.82 | | | | | | | | | | | | | | | | all_56_3 = e1) | (all_56_0 = e0 & all_56_1 = e0
% 71.75/10.82 | | | | | | | | | | | | | | | | & all_56_2 = e0 & all_56_3 = e0)
% 71.75/10.82 | | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | | BETA: splitting (1899) gives:
% 71.75/10.82 | | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | | Case 1:
% 71.75/10.82 | | | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | | | (1900) all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 &
% 71.75/10.82 | | | | | | | | | | | | | | | | | all_56_3 = e1
% 71.75/10.82 | | | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | | | REF_CLOSE: (600), (1765), (1900) are inconsistent by
% 71.75/10.82 | | | | | | | | | | | | | | | | | sub-proof #71.
% 71.75/10.82 | | | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | | Case 2:
% 71.75/10.82 | | | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | | | (1901) all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 &
% 71.75/10.82 | | | | | | | | | | | | | | | | | all_56_3 = e0
% 71.75/10.82 | | | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | | | REF_CLOSE: (559), (1764), (1901) are inconsistent by
% 71.75/10.82 | | | | | | | | | | | | | | | | | sub-proof #77.
% 71.75/10.82 | | | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | | End of split
% 71.75/10.82 | | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | End of split
% 71.75/10.82 | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | End of split
% 71.75/10.82 | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | Case 2:
% 71.75/10.82 | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | (1902) all_30_0 = e0
% 71.75/10.82 | | | | | | | | | | | | | | (1903) ~ (all_30_1 = e1)
% 71.75/10.82 | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | COMBINE_EQS: (593), (1902) imply:
% 71.75/10.82 | | | | | | | | | | | | | | (1904) all_6_0 = e0
% 71.75/10.82 | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | REDUCE: (661), (1903) imply:
% 71.75/10.82 | | | | | | | | | | | | | | (1905) ~ (all_4_1 = e1)
% 71.75/10.82 | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | REDUCE: (711), (1904) imply:
% 71.75/10.82 | | | | | | | | | | | | | | (1906) ~ (all_28_0 = e0)
% 71.75/10.82 | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | REDUCE: (709), (1904) imply:
% 71.75/10.82 | | | | | | | | | | | | | | (1907) ~ (all_4_0 = e0)
% 71.75/10.82 | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | SIMP: (1907) implies:
% 71.75/10.82 | | | | | | | | | | | | | | (1908) ~ (all_4_0 = e0)
% 71.75/10.82 | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | REF_CLOSE: (14), (15), (109), (163), (270), (272), (273),
% 71.75/10.82 | | | | | | | | | | | | | | (542), (559), (596), (600), (673), (680), (684),
% 71.75/10.82 | | | | | | | | | | | | | | (686), (700), (702), (719), (721), (723), (739),
% 71.75/10.82 | | | | | | | | | | | | | | (903), (953), (1760), (1764), (1785), (1905),
% 71.75/10.82 | | | | | | | | | | | | | | (1906), (1908) are inconsistent by sub-proof #50.
% 71.75/10.82 | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | End of split
% 71.75/10.82 | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | Case 2:
% 71.75/10.82 | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | (1909) all_28_0 = e2
% 71.75/10.82 | | | | | | | | | | | | | (1910) ~ (all_28_1 = e1)
% 71.75/10.82 | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | REDUCE: (726), (1909) imply:
% 71.75/10.82 | | | | | | | | | | | | | (1911) ~ (all_20_0 = e2)
% 71.75/10.82 | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | SIMP: (1911) implies:
% 71.75/10.82 | | | | | | | | | | | | | (1912) ~ (all_20_0 = e2)
% 71.75/10.82 | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | REDUCE: (702), (1909) imply:
% 71.75/10.82 | | | | | | | | | | | | | (1913) ~ (all_4_1 = e2)
% 71.75/10.82 | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | SIMP: (1913) implies:
% 71.75/10.82 | | | | | | | | | | | | | (1914) ~ (all_4_1 = e2)
% 71.75/10.82 | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | REDUCE: (663), (1910) imply:
% 71.75/10.82 | | | | | | | | | | | | | (1915) ~ (all_4_1 = e1)
% 71.75/10.82 | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | BETA: splitting (163) gives:
% 71.75/10.82 | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | Case 1:
% 71.75/10.82 | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | (1916) (all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 &
% 71.75/10.82 | | | | | | | | | | | | | | all_56_3 = e3) | (all_56_0 = e2 & all_56_1 = e2
% 71.75/10.82 | | | | | | | | | | | | | | & all_56_2 = e2 & all_56_3 = e2)
% 71.75/10.82 | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | BETA: splitting (1916) gives:
% 71.75/10.82 | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | Case 1:
% 71.75/10.82 | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | (1917) all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 &
% 71.75/10.82 | | | | | | | | | | | | | | | all_56_3 = e3
% 71.75/10.82 | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | REF_CLOSE: (16), (17), (18), (141), (163), (268), (269),
% 71.75/10.82 | | | | | | | | | | | | | | | (274), (275), (277), (550), (551), (559), (611),
% 71.75/10.82 | | | | | | | | | | | | | | | (678), (679), (680), (687), (688), (689), (698),
% 71.75/10.82 | | | | | | | | | | | | | | | (715), (717), (748), (749), (754), (756), (758),
% 71.75/10.82 | | | | | | | | | | | | | | | (759), (763), (904), (1780), (1781), (1782),
% 71.75/10.82 | | | | | | | | | | | | | | | (1912), (1917) are inconsistent by sub-proof #47.
% 71.75/10.82 | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | Case 2:
% 71.75/10.82 | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | (1918) all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 &
% 71.75/10.82 | | | | | | | | | | | | | | | all_56_3 = e2
% 71.75/10.82 | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | REF_CLOSE: (559), (1914), (1918) are inconsistent by
% 71.75/10.82 | | | | | | | | | | | | | | | sub-proof #72.
% 71.75/10.82 | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | End of split
% 71.75/10.82 | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | Case 2:
% 71.75/10.82 | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | (1919) (all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 &
% 71.75/10.82 | | | | | | | | | | | | | | all_56_3 = e1) | (all_56_0 = e0 & all_56_1 = e0
% 71.75/10.82 | | | | | | | | | | | | | | & all_56_2 = e0 & all_56_3 = e0)
% 71.75/10.82 | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | BETA: splitting (1919) gives:
% 71.75/10.82 | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | Case 1:
% 71.75/10.82 | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | (1920) all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 &
% 71.75/10.82 | | | | | | | | | | | | | | | all_56_3 = e1
% 71.75/10.82 | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | REF_CLOSE: (559), (1915), (1920) are inconsistent by
% 71.75/10.82 | | | | | | | | | | | | | | | sub-proof #65.
% 71.75/10.82 | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | Case 2:
% 71.75/10.82 | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | (1921) all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 &
% 71.75/10.82 | | | | | | | | | | | | | | | all_56_3 = e0
% 71.75/10.82 | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | | REF_CLOSE: (559), (1764), (1921) are inconsistent by
% 71.75/10.82 | | | | | | | | | | | | | | | sub-proof #77.
% 71.75/10.82 | | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | | End of split
% 71.75/10.82 | | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | | End of split
% 71.75/10.82 | | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | End of split
% 71.75/10.82 | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | Case 2:
% 71.75/10.82 | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | (1922) all_24_0 = e2
% 71.75/10.82 | | | | | | | | | | | | (1923) ~ (all_24_1 = e3)
% 71.75/10.82 | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | COMBINE_EQS: (616), (1922) imply:
% 71.75/10.82 | | | | | | | | | | | | (1924) all_8_0 = e2
% 71.75/10.82 | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | SIMP: (1924) implies:
% 71.75/10.82 | | | | | | | | | | | | (1925) all_8_0 = e2
% 71.75/10.82 | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | REDUCE: (647), (1923) imply:
% 71.75/10.82 | | | | | | | | | | | | (1926) ~ (all_8_1 = e3)
% 71.75/10.82 | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | REDUCE: (746), (1925) imply:
% 71.75/10.82 | | | | | | | | | | | | (1927) ~ (all_10_0 = e2)
% 71.75/10.82 | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | REDUCE: (764), (1925) imply:
% 71.75/10.82 | | | | | | | | | | | | (1928) ~ (all_8_1 = e2)
% 71.75/10.82 | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | SIMP: (1928) implies:
% 71.75/10.82 | | | | | | | | | | | | (1929) ~ (all_8_1 = e2)
% 71.75/10.82 | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | | REF_CLOSE: (163), (272), (542), (600), (679), (739), (953),
% 71.75/10.82 | | | | | | | | | | | | (1760), (1762), (1926), (1927), (1929) are
% 71.75/10.82 | | | | | | | | | | | | inconsistent by sub-proof #23.
% 71.75/10.82 | | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | | End of split
% 71.75/10.82 | | | | | | | | | | |
% 71.75/10.82 | | | | | | | | | | Case 2:
% 71.75/10.82 | | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | | (1930) all_22_0 = e1
% 71.75/10.83 | | | | | | | | | | | (1931) ~ (all_22_1 = e3)
% 71.75/10.83 | | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | | REDUCE: (758), (1930) imply:
% 71.75/10.83 | | | | | | | | | | | (1932) ~ (all_12_0 = e1)
% 71.75/10.83 | | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | | SIMP: (1932) implies:
% 71.75/10.83 | | | | | | | | | | | (1933) ~ (all_12_0 = e1)
% 71.75/10.83 | | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | | REDUCE: (762), (1930) imply:
% 71.75/10.83 | | | | | | | | | | | (1934) ~ (all_8_0 = e1)
% 71.75/10.83 | | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | | SIMP: (1934) implies:
% 71.75/10.83 | | | | | | | | | | | (1935) ~ (all_8_0 = e1)
% 71.75/10.83 | | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | | REDUCE: (763), (1930) imply:
% 71.75/10.83 | | | | | | | | | | | (1936) ~ (all_8_1 = e1)
% 71.75/10.83 | | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | | SIMP: (1936) implies:
% 71.75/10.83 | | | | | | | | | | | (1937) ~ (all_8_1 = e1)
% 71.75/10.83 | | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | | REDUCE: (717), (1930) imply:
% 71.75/10.83 | | | | | | | | | | | (1938) ~ (all_6_0 = e1)
% 71.75/10.83 | | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | | REDUCE: (667), (1931) imply:
% 71.75/10.83 | | | | | | | | | | | (1939) ~ (all_8_1 = e3)
% 71.75/10.83 | | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | | REF_CLOSE: (163), (271), (272), (273), (275), (277), (542),
% 71.75/10.83 | | | | | | | | | | | (546), (559), (600), (679), (686), (688), (689),
% 71.75/10.83 | | | | | | | | | | | (698), (700), (709), (715), (721), (725), (739),
% 71.75/10.83 | | | | | | | | | | | (741), (746), (764), (904), (905), (953), (954),
% 71.75/10.83 | | | | | | | | | | | (1780), (1933), (1935), (1937), (1939) are
% 71.75/10.83 | | | | | | | | | | | inconsistent by sub-proof #33.
% 71.75/10.83 | | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | End of split
% 71.75/10.83 | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | Case 2:
% 71.75/10.83 | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | (1940) all_20_0 = e1
% 71.75/10.83 | | | | | | | | | | (1941) ~ (all_20_1 = e3)
% 71.75/10.83 | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | REDUCE: (745), (1940) imply:
% 71.75/10.83 | | | | | | | | | | (1942) ~ (all_10_0 = e1)
% 71.75/10.83 | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | SIMP: (1942) implies:
% 71.75/10.83 | | | | | | | | | | (1943) ~ (all_10_0 = e1)
% 71.75/10.83 | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | REDUCE: (749), (1940) imply:
% 71.75/10.83 | | | | | | | | | | (1944) ~ (all_8_1 = e1)
% 71.75/10.83 | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | SIMP: (1944) implies:
% 71.75/10.83 | | | | | | | | | | (1945) ~ (all_8_1 = e1)
% 71.75/10.83 | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | REDUCE: (646), (1941) imply:
% 71.75/10.83 | | | | | | | | | | (1946) ~ (all_10_1 = e3)
% 71.75/10.83 | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | BETA: splitting (163) gives:
% 71.75/10.83 | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | Case 1:
% 71.75/10.83 | | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | | (1947) (all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 &
% 71.75/10.83 | | | | | | | | | | | all_56_3 = e3) | (all_56_0 = e2 & all_56_1 = e2
% 71.75/10.83 | | | | | | | | | | | & all_56_2 = e2 & all_56_3 = e2)
% 71.75/10.83 | | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | | BETA: splitting (1947) gives:
% 71.75/10.83 | | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | | Case 1:
% 71.75/10.83 | | | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | | | (1948) all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 &
% 71.75/10.83 | | | | | | | | | | | | all_56_3 = e3
% 71.75/10.83 | | | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | | | REF_CLOSE: (600), (1946), (1948) are inconsistent by
% 71.75/10.83 | | | | | | | | | | | | sub-proof #32.
% 71.75/10.83 | | | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | | Case 2:
% 71.75/10.83 | | | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | | | (1949) all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 &
% 71.75/10.83 | | | | | | | | | | | | all_56_3 = e2
% 71.75/10.83 | | | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | | | ALPHA: (1949) implies:
% 71.75/10.83 | | | | | | | | | | | | (1950) all_56_1 = e2
% 71.75/10.83 | | | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | | | COMBINE_EQS: (600), (1950) imply:
% 71.75/10.83 | | | | | | | | | | | | (1951) all_10_1 = e2
% 71.75/10.83 | | | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | | | SIMP: (1951) implies:
% 71.75/10.83 | | | | | | | | | | | | (1952) all_10_1 = e2
% 71.75/10.83 | | | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | | | REDUCE: (739), (1952) imply:
% 71.75/10.83 | | | | | | | | | | | | (1953) ~ (all_10_0 = e2)
% 71.75/10.83 | | | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | | | REF_CLOSE: (272), (542), (953), (1760), (1943), (1953) are
% 71.75/10.83 | | | | | | | | | | | | inconsistent by sub-proof #105.
% 71.75/10.83 | | | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | | End of split
% 71.75/10.83 | | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | Case 2:
% 71.75/10.83 | | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | | (1954) (all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 &
% 71.75/10.83 | | | | | | | | | | | all_56_3 = e1) | (all_56_0 = e0 & all_56_1 = e0
% 71.75/10.83 | | | | | | | | | | | & all_56_2 = e0 & all_56_3 = e0)
% 71.75/10.83 | | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | | BETA: splitting (1954) gives:
% 71.75/10.83 | | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | | Case 1:
% 71.75/10.83 | | | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | | | (1955) all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 &
% 71.75/10.83 | | | | | | | | | | | | all_56_3 = e1
% 71.75/10.83 | | | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | | | REF_CLOSE: (679), (1945), (1955) are inconsistent by
% 71.75/10.83 | | | | | | | | | | | | sub-proof #54.
% 71.75/10.83 | | | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | | Case 2:
% 71.75/10.83 | | | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | | | (1956) all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 &
% 71.75/10.83 | | | | | | | | | | | | all_56_3 = e0
% 71.75/10.83 | | | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | | | REF_CLOSE: (600), (1762), (1956) are inconsistent by
% 71.75/10.83 | | | | | | | | | | | | sub-proof #29.
% 71.75/10.83 | | | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | | End of split
% 71.75/10.83 | | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | End of split
% 71.75/10.83 | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | End of split
% 71.75/10.83 | | | | | | | | |
% 71.75/10.83 | | | | | | | | Case 2:
% 71.75/10.83 | | | | | | | | |
% 71.75/10.83 | | | | | | | | | (1957) all_16_0 = e0
% 71.75/10.83 | | | | | | | | | (1958) ~ (all_16_1 = e3)
% 71.75/10.83 | | | | | | | | |
% 71.75/10.83 | | | | | | | | | COMBINE_EQS: (607), (1957) imply:
% 71.75/10.83 | | | | | | | | | (1959) all_12_0 = e0
% 71.75/10.83 | | | | | | | | |
% 71.75/10.83 | | | | | | | | | REDUCE: (758), (1959) imply:
% 71.75/10.83 | | | | | | | | | (1960) ~ (all_22_0 = e0)
% 71.75/10.83 | | | | | | | | |
% 71.75/10.83 | | | | | | | | | REDUCE: (653), (1958) imply:
% 71.75/10.83 | | | | | | | | | (1961) ~ (all_12_1 = e3)
% 71.75/10.83 | | | | | | | | |
% 71.75/10.83 | | | | | | | | | REDUCE: (715), (1959) imply:
% 71.75/10.83 | | | | | | | | | (1962) ~ (all_6_0 = e0)
% 71.75/10.83 | | | | | | | | |
% 71.75/10.83 | | | | | | | | | SIMP: (1962) implies:
% 71.75/10.83 | | | | | | | | | (1963) ~ (all_6_0 = e0)
% 71.75/10.83 | | | | | | | | |
% 71.75/10.83 | | | | | | | | | REF_CLOSE: (85), (89), (105), (117), (163), (271), (272),
% 71.75/10.83 | | | | | | | | | (273), (274), (277), (542), (546), (559), (595),
% 71.75/10.83 | | | | | | | | | (600), (614), (616), (634), (647), (667), (675),
% 71.75/10.83 | | | | | | | | | (679), (680), (686), (687), (689), (698), (700),
% 71.75/10.83 | | | | | | | | | (709), (717), (721), (725), (739), (746), (763),
% 71.75/10.83 | | | | | | | | | (764), (903), (904), (905), (953), (1760), (1762),
% 71.75/10.83 | | | | | | | | | (1960), (1961), (1963) are inconsistent by
% 71.75/10.83 | | | | | | | | | sub-proof #22.
% 71.75/10.83 | | | | | | | | |
% 71.75/10.83 | | | | | | | | End of split
% 71.75/10.83 | | | | | | | |
% 71.75/10.83 | | | | | | | End of split
% 71.75/10.83 | | | | | | |
% 71.75/10.83 | | | | | | Case 2:
% 71.75/10.83 | | | | | | |
% 71.75/10.83 | | | | | | | (1964) all_12_0 = e3
% 71.75/10.83 | | | | | | | (1965) ~ (all_12_1 = e0)
% 71.75/10.83 | | | | | | |
% 71.75/10.83 | | | | | | | REDUCE: (756), (1964) imply:
% 71.75/10.83 | | | | | | | (1966) ~ (all_42_0 = e3)
% 71.75/10.83 | | | | | | |
% 71.75/10.83 | | | | | | | REDUCE: (750), (1964) imply:
% 71.75/10.83 | | | | | | | (1967) ~ (all_40_0 = e3)
% 71.75/10.83 | | | | | | |
% 71.75/10.83 | | | | | | | REDUCE: (758), (1964) imply:
% 71.75/10.83 | | | | | | | (1968) ~ (all_22_0 = e3)
% 71.75/10.83 | | | | | | |
% 71.75/10.83 | | | | | | | REDUCE: (741), (1964) imply:
% 71.75/10.83 | | | | | | | (1969) ~ (all_10_1 = e3)
% 71.75/10.83 | | | | | | |
% 71.75/10.83 | | | | | | | SIMP: (1969) implies:
% 71.75/10.83 | | | | | | | (1970) ~ (all_10_1 = e3)
% 71.75/10.83 | | | | | | |
% 71.75/10.83 | | | | | | | REDUCE: (715), (1964) imply:
% 71.75/10.83 | | | | | | | (1971) ~ (all_6_0 = e3)
% 71.75/10.83 | | | | | | |
% 71.75/10.83 | | | | | | | SIMP: (1971) implies:
% 71.75/10.83 | | | | | | | (1972) ~ (all_6_0 = e3)
% 71.75/10.83 | | | | | | |
% 71.75/10.83 | | | | | | | BETA: splitting (69) gives:
% 71.75/10.83 | | | | | | |
% 71.75/10.83 | | | | | | | Case 1:
% 71.75/10.83 | | | | | | | |
% 71.75/10.83 | | | | | | | | (1973) ~ (all_14_0 = e0)
% 71.75/10.83 | | | | | | | |
% 71.75/10.83 | | | | | | | | BETA: splitting (85) gives:
% 71.75/10.83 | | | | | | | |
% 71.75/10.83 | | | | | | | | Case 1:
% 71.75/10.83 | | | | | | | | |
% 71.75/10.83 | | | | | | | | | (1974) ~ (all_22_0 = e1)
% 71.75/10.83 | | | | | | | | |
% 71.75/10.83 | | | | | | | | | BETA: splitting (89) gives:
% 71.75/10.83 | | | | | | | | |
% 71.75/10.83 | | | | | | | | | Case 1:
% 71.75/10.83 | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | (1975) ~ (all_24_0 = e2)
% 71.75/10.83 | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | REDUCE: (616), (1975) imply:
% 71.75/10.83 | | | | | | | | | | (1976) ~ (all_8_0 = e2)
% 71.75/10.83 | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | BETA: splitting (101) gives:
% 71.75/10.83 | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | Case 1:
% 71.75/10.83 | | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | | (1977) ~ (all_30_0 = e0)
% 71.75/10.83 | | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | | REDUCE: (593), (1977) imply:
% 71.75/10.83 | | | | | | | | | | | (1978) ~ (all_6_0 = e0)
% 71.75/10.83 | | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | | BETA: splitting (277) gives:
% 71.75/10.83 | | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | | Case 1:
% 71.75/10.83 | | | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | | | (1979) all_64_4 = e3
% 71.75/10.83 | | | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | | | COMBINE_EQS: (689), (1979) imply:
% 71.75/10.83 | | | | | | | | | | | | (1980) all_6_0 = e3
% 71.75/10.83 | | | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | | | REDUCE: (1972), (1980) imply:
% 71.75/10.83 | | | | | | | | | | | | (1981) $false
% 71.75/10.83 | | | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | | | CLOSE: (1981) is inconsistent.
% 71.75/10.83 | | | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | | Case 2:
% 71.75/10.83 | | | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | | | (1982) all_64_4 = e2 | all_64_4 = e1 | all_64_4 = e0
% 71.75/10.83 | | | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | | | BETA: splitting (1982) gives:
% 71.75/10.83 | | | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | | | Case 1:
% 71.75/10.83 | | | | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | | | | (1983) all_64_4 = e2
% 71.75/10.83 | | | | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | | | | COMBINE_EQS: (689), (1983) imply:
% 71.75/10.83 | | | | | | | | | | | | | (1984) all_6_0 = e2
% 71.75/10.83 | | | | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | | | | REDUCE: (717), (1984) imply:
% 71.75/10.83 | | | | | | | | | | | | | (1985) ~ (all_22_0 = e2)
% 71.75/10.83 | | | | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | | | | REDUCE: (698), (1984) imply:
% 71.75/10.83 | | | | | | | | | | | | | (1986) ~ (all_4_1 = e2)
% 71.75/10.83 | | | | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | | | | SIMP: (1986) implies:
% 71.75/10.83 | | | | | | | | | | | | | (1987) ~ (all_4_1 = e2)
% 71.75/10.83 | | | | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | | | | BETA: splitting (163) gives:
% 71.75/10.83 | | | | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | | | | Case 1:
% 71.75/10.83 | | | | | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | | | | | (1988) (all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 &
% 71.75/10.83 | | | | | | | | | | | | | | all_56_3 = e3) | (all_56_0 = e2 & all_56_1 = e2
% 71.75/10.83 | | | | | | | | | | | | | | & all_56_2 = e2 & all_56_3 = e2)
% 71.75/10.83 | | | | | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | | | | | BETA: splitting (1988) gives:
% 71.75/10.83 | | | | | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | | | | | Case 1:
% 71.75/10.83 | | | | | | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | | | | | | (1989) all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 &
% 71.75/10.83 | | | | | | | | | | | | | | | all_56_3 = e3
% 71.75/10.83 | | | | | | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | | | | | | REF_CLOSE: (600), (1970), (1989) are inconsistent by
% 71.75/10.83 | | | | | | | | | | | | | | | sub-proof #32.
% 71.75/10.83 | | | | | | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | | | | | Case 2:
% 71.75/10.83 | | | | | | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | | | | | | (1990) all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 &
% 71.75/10.83 | | | | | | | | | | | | | | | all_56_3 = e2
% 71.75/10.83 | | | | | | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | | | | | | REF_CLOSE: (559), (1987), (1990) are inconsistent by
% 71.75/10.83 | | | | | | | | | | | | | | | sub-proof #72.
% 71.75/10.83 | | | | | | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | | | | | End of split
% 71.75/10.83 | | | | | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | | | | Case 2:
% 71.75/10.83 | | | | | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | | | | | (1991) (all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 &
% 71.75/10.83 | | | | | | | | | | | | | | all_56_3 = e1) | (all_56_0 = e0 & all_56_1 = e0
% 71.75/10.83 | | | | | | | | | | | | | | & all_56_2 = e0 & all_56_3 = e0)
% 71.75/10.83 | | | | | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | | | | | BETA: splitting (1991) gives:
% 71.75/10.83 | | | | | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | | | | | Case 1:
% 71.75/10.83 | | | | | | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | | | | | | (1992) all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 &
% 71.75/10.83 | | | | | | | | | | | | | | | all_56_3 = e1
% 71.75/10.83 | | | | | | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | | | | | | ALPHA: (1992) implies:
% 71.75/10.83 | | | | | | | | | | | | | | | (1993) all_56_3 = e1
% 71.75/10.83 | | | | | | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | | | | | | COMBINE_EQS: (679), (1993) imply:
% 71.75/10.83 | | | | | | | | | | | | | | | (1994) all_8_1 = e1
% 71.75/10.83 | | | | | | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | | | | | | SIMP: (1994) implies:
% 71.75/10.83 | | | | | | | | | | | | | | | (1995) all_8_1 = e1
% 71.75/10.83 | | | | | | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | | | | | | REDUCE: (764), (1995) imply:
% 71.75/10.83 | | | | | | | | | | | | | | | (1996) ~ (all_8_0 = e1)
% 71.75/10.83 | | | | | | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | | | | | | REF_CLOSE: (271), (274), (546), (687), (762), (905), (1968),
% 71.75/10.83 | | | | | | | | | | | | | | | (1974), (1976), (1985), (1996) are inconsistent by
% 71.75/10.83 | | | | | | | | | | | | | | | sub-proof #89.
% 71.75/10.83 | | | | | | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | | | | | Case 2:
% 71.75/10.83 | | | | | | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | | | | | | (1997) all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 &
% 71.75/10.83 | | | | | | | | | | | | | | | all_56_3 = e0
% 71.75/10.83 | | | | | | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | | | | | | REF_CLOSE: (680), (1965), (1997) are inconsistent by
% 71.75/10.83 | | | | | | | | | | | | | | | sub-proof #16.
% 71.75/10.83 | | | | | | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | | | | | End of split
% 71.75/10.83 | | | | | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | | | | End of split
% 71.75/10.83 | | | | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | | | Case 2:
% 71.75/10.83 | | | | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | | | | (1998) all_64_4 = e1 | all_64_4 = e0
% 71.75/10.83 | | | | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | | | | REF_CLOSE: (689), (904), (1978), (1998) are inconsistent by
% 71.75/10.83 | | | | | | | | | | | | | sub-proof #98.
% 71.75/10.83 | | | | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | | | End of split
% 71.75/10.83 | | | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | | End of split
% 71.75/10.83 | | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | Case 2:
% 71.75/10.83 | | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | | (1999) all_30_0 = e0
% 71.75/10.83 | | | | | | | | | | | (2000) ~ (all_30_1 = e1)
% 71.75/10.83 | | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | | COMBINE_EQS: (593), (1999) imply:
% 71.75/10.83 | | | | | | | | | | | (2001) all_6_0 = e0
% 71.75/10.83 | | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | | REDUCE: (661), (2000) imply:
% 71.75/10.83 | | | | | | | | | | | (2002) ~ (all_4_1 = e1)
% 71.75/10.83 | | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | | REDUCE: (717), (2001) imply:
% 71.75/10.83 | | | | | | | | | | | (2003) ~ (all_22_0 = e0)
% 71.75/10.83 | | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | | REDUCE: (698), (2001) imply:
% 71.75/10.83 | | | | | | | | | | | (2004) ~ (all_4_1 = e0)
% 71.75/10.83 | | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | | SIMP: (2004) implies:
% 71.75/10.83 | | | | | | | | | | | (2005) ~ (all_4_1 = e0)
% 71.75/10.83 | | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | | BETA: splitting (163) gives:
% 71.75/10.83 | | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | | Case 1:
% 71.75/10.83 | | | | | | | | | | | |
% 71.75/10.83 | | | | | | | | | | | | (2006) (all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 &
% 71.75/10.83 | | | | | | | | | | | | all_56_3 = e3) | (all_56_0 = e2 & all_56_1 = e2
% 71.75/10.83 | | | | | | | | | | | | & all_56_2 = e2 & all_56_3 = e2)
% 71.75/10.84 | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | BETA: splitting (2006) gives:
% 71.75/10.84 | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | Case 1:
% 71.75/10.84 | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | (2007) all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 &
% 71.75/10.84 | | | | | | | | | | | | | all_56_3 = e3
% 71.75/10.84 | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | REF_CLOSE: (600), (1970), (2007) are inconsistent by
% 71.75/10.84 | | | | | | | | | | | | | sub-proof #32.
% 71.75/10.84 | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | Case 2:
% 71.75/10.84 | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | (2008) all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 &
% 71.75/10.84 | | | | | | | | | | | | | all_56_3 = e2
% 71.75/10.84 | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | ALPHA: (2008) implies:
% 71.75/10.84 | | | | | | | | | | | | | (2009) all_56_3 = e2
% 71.75/10.84 | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | COMBINE_EQS: (679), (2009) imply:
% 71.75/10.84 | | | | | | | | | | | | | (2010) all_8_1 = e2
% 71.75/10.84 | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | SIMP: (2010) implies:
% 71.75/10.84 | | | | | | | | | | | | | (2011) all_8_1 = e2
% 71.75/10.84 | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | REDUCE: (763), (2011) imply:
% 71.75/10.84 | | | | | | | | | | | | | (2012) ~ (all_22_0 = e2)
% 71.75/10.84 | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | REF_CLOSE: (274), (687), (1968), (1974), (2003), (2012) are
% 71.75/10.84 | | | | | | | | | | | | | inconsistent by sub-proof #15.
% 71.75/10.84 | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | End of split
% 71.75/10.84 | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | Case 2:
% 71.75/10.84 | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | (2013) (all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 &
% 71.75/10.84 | | | | | | | | | | | | all_56_3 = e1) | (all_56_0 = e0 & all_56_1 = e0
% 71.75/10.84 | | | | | | | | | | | | & all_56_2 = e0 & all_56_3 = e0)
% 71.75/10.84 | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | BETA: splitting (2013) gives:
% 71.75/10.84 | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | Case 1:
% 71.75/10.84 | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | (2014) all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 &
% 71.75/10.84 | | | | | | | | | | | | | all_56_3 = e1
% 71.75/10.84 | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | REF_CLOSE: (559), (2002), (2014) are inconsistent by
% 71.75/10.84 | | | | | | | | | | | | | sub-proof #65.
% 71.75/10.84 | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | Case 2:
% 71.75/10.84 | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | (2015) all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 &
% 71.75/10.84 | | | | | | | | | | | | | all_56_3 = e0
% 71.75/10.84 | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | REF_CLOSE: (559), (2005), (2015) are inconsistent by
% 71.75/10.84 | | | | | | | | | | | | | sub-proof #77.
% 71.75/10.84 | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | End of split
% 71.75/10.84 | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | End of split
% 71.75/10.84 | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | End of split
% 71.75/10.84 | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | Case 2:
% 71.75/10.84 | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | (2016) all_24_0 = e2
% 71.75/10.84 | | | | | | | | | | (2017) ~ (all_24_1 = e3)
% 71.75/10.84 | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | COMBINE_EQS: (616), (2016) imply:
% 71.75/10.84 | | | | | | | | | | (2018) all_8_0 = e2
% 71.75/10.84 | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | SIMP: (2018) implies:
% 71.75/10.84 | | | | | | | | | | (2019) all_8_0 = e2
% 71.75/10.84 | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | REDUCE: (761), (2019) imply:
% 71.75/10.84 | | | | | | | | | | (2020) ~ (all_36_0 = e2)
% 71.75/10.84 | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | REDUCE: (647), (2017) imply:
% 71.75/10.84 | | | | | | | | | | (2021) ~ (all_8_1 = e3)
% 71.75/10.84 | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | REDUCE: (746), (2019) imply:
% 71.75/10.84 | | | | | | | | | | (2022) ~ (all_10_0 = e2)
% 71.75/10.84 | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | REDUCE: (764), (2019) imply:
% 71.75/10.84 | | | | | | | | | | (2023) ~ (all_8_1 = e2)
% 71.75/10.84 | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | SIMP: (2023) implies:
% 71.75/10.84 | | | | | | | | | | (2024) ~ (all_8_1 = e2)
% 71.75/10.84 | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | BETA: splitting (163) gives:
% 71.75/10.84 | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | Case 1:
% 71.75/10.84 | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | (2025) (all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 &
% 71.75/10.84 | | | | | | | | | | | all_56_3 = e3) | (all_56_0 = e2 & all_56_1 = e2
% 71.75/10.84 | | | | | | | | | | | & all_56_2 = e2 & all_56_3 = e2)
% 71.75/10.84 | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | BETA: splitting (2025) gives:
% 71.75/10.84 | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | Case 1:
% 71.75/10.84 | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | (2026) all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 &
% 71.75/10.84 | | | | | | | | | | | | all_56_3 = e3
% 71.75/10.84 | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | REF_CLOSE: (679), (2021), (2026) are inconsistent by
% 71.75/10.84 | | | | | | | | | | | | sub-proof #73.
% 71.75/10.84 | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | Case 2:
% 71.75/10.84 | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | (2027) all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 &
% 71.75/10.84 | | | | | | | | | | | | all_56_3 = e2
% 71.75/10.84 | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | REF_CLOSE: (679), (2024), (2027) are inconsistent by
% 71.75/10.84 | | | | | | | | | | | | sub-proof #28.
% 71.75/10.84 | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | End of split
% 71.75/10.84 | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | Case 2:
% 71.75/10.84 | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | (2028) (all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 &
% 71.75/10.84 | | | | | | | | | | | all_56_3 = e1) | (all_56_0 = e0 & all_56_1 = e0
% 71.75/10.84 | | | | | | | | | | | & all_56_2 = e0 & all_56_3 = e0)
% 71.75/10.84 | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | BETA: splitting (2028) gives:
% 71.75/10.84 | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | Case 1:
% 71.75/10.84 | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | (2029) all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 &
% 71.75/10.84 | | | | | | | | | | | | all_56_3 = e1
% 71.75/10.84 | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | ALPHA: (2029) implies:
% 71.75/10.84 | | | | | | | | | | | | (2030) all_56_3 = e1
% 71.75/10.84 | | | | | | | | | | | | (2031) all_56_1 = e1
% 71.75/10.84 | | | | | | | | | | | | (2032) all_56_0 = e1
% 71.75/10.84 | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | COMBINE_EQS: (559), (2032) imply:
% 71.75/10.84 | | | | | | | | | | | | (2033) all_4_1 = e1
% 71.75/10.84 | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | SIMP: (2033) implies:
% 71.75/10.84 | | | | | | | | | | | | (2034) all_4_1 = e1
% 71.75/10.84 | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | COMBINE_EQS: (600), (2031) imply:
% 71.75/10.84 | | | | | | | | | | | | (2035) all_10_1 = e1
% 71.75/10.84 | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | SIMP: (2035) implies:
% 71.75/10.84 | | | | | | | | | | | | (2036) all_10_1 = e1
% 71.75/10.84 | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | COMBINE_EQS: (679), (2030) imply:
% 71.75/10.84 | | | | | | | | | | | | (2037) all_8_1 = e1
% 71.75/10.84 | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | SIMP: (2037) implies:
% 71.75/10.84 | | | | | | | | | | | | (2038) all_8_1 = e1
% 71.75/10.84 | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | COMBINE_EQS: (661), (2034) imply:
% 71.75/10.84 | | | | | | | | | | | | (2039) all_30_1 = e1
% 71.75/10.84 | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | COMBINE_EQS: (636), (2036) imply:
% 71.75/10.84 | | | | | | | | | | | | (2040) all_46_1 = e1
% 71.75/10.84 | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | REDUCE: (708), (2034) imply:
% 71.75/10.84 | | | | | | | | | | | | (2041) ~ (all_36_0 = e1)
% 71.75/10.84 | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | REDUCE: (749), (2038) imply:
% 71.75/10.84 | | | | | | | | | | | | (2042) ~ (all_20_0 = e1)
% 71.75/10.84 | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | REDUCE: (704), (2034) imply:
% 71.75/10.84 | | | | | | | | | | | | (2043) ~ (all_14_0 = e1)
% 71.75/10.84 | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | REDUCE: (739), (2036) imply:
% 71.75/10.84 | | | | | | | | | | | | (2044) ~ (all_10_0 = e1)
% 71.75/10.84 | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | BETA: splitting (101) gives:
% 71.75/10.84 | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | Case 1:
% 71.75/10.84 | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | (2045) ~ (all_30_0 = e0)
% 71.75/10.84 | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | REDUCE: (593), (2045) imply:
% 71.75/10.84 | | | | | | | | | | | | | (2046) ~ (all_6_0 = e0)
% 71.75/10.84 | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | BETA: splitting (133) gives:
% 71.75/10.84 | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | Case 1:
% 71.75/10.84 | | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | | (2047) ~ (all_46_0 = e3)
% 71.75/10.84 | | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | | REDUCE: (604), (2047) imply:
% 71.75/10.84 | | | | | | | | | | | | | | (2048) ~ (all_20_0 = e3)
% 71.75/10.84 | | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | | BETA: splitting (272) gives:
% 71.75/10.84 | | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | | Case 1:
% 71.75/10.84 | | | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | | | (2049) all_64_9 = e3
% 71.75/10.84 | | | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | | | COMBINE_EQS: (542), (2049) imply:
% 71.75/10.84 | | | | | | | | | | | | | | | (2050) all_10_0 = e3
% 71.75/10.84 | | | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | | | REDUCE: (953), (2050) imply:
% 71.75/10.84 | | | | | | | | | | | | | | | (2051) $false
% 71.75/10.84 | | | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | | | CLOSE: (2051) is inconsistent.
% 71.75/10.84 | | | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | | Case 2:
% 71.75/10.84 | | | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | | | (2052) all_64_9 = e2 | all_64_9 = e1 | all_64_9 = e0
% 71.75/10.84 | | | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | | | BETA: splitting (2052) gives:
% 71.75/10.84 | | | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | | | Case 1:
% 71.75/10.84 | | | | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | | | | (2053) all_64_9 = e2
% 71.75/10.84 | | | | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | | | | COMBINE_EQS: (542), (2053) imply:
% 71.75/10.84 | | | | | | | | | | | | | | | | (2054) all_10_0 = e2
% 71.75/10.84 | | | | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | | | | REDUCE: (2022), (2054) imply:
% 71.75/10.84 | | | | | | | | | | | | | | | | (2055) $false
% 71.75/10.84 | | | | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | | | | CLOSE: (2055) is inconsistent.
% 71.75/10.84 | | | | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | | | Case 2:
% 71.75/10.84 | | | | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | | | | (2056) all_64_9 = e1 | all_64_9 = e0
% 71.75/10.84 | | | | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | | | | BETA: splitting (277) gives:
% 71.75/10.84 | | | | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | | | | Case 1:
% 71.75/10.84 | | | | | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | | | | | (2057) all_64_4 = e3
% 71.75/10.84 | | | | | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | | | | | COMBINE_EQS: (689), (2057) imply:
% 71.75/10.84 | | | | | | | | | | | | | | | | | (2058) all_6_0 = e3
% 71.75/10.84 | | | | | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | | | | | REDUCE: (1972), (2058) imply:
% 71.75/10.84 | | | | | | | | | | | | | | | | | (2059) $false
% 71.75/10.84 | | | | | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | | | | | CLOSE: (2059) is inconsistent.
% 71.75/10.84 | | | | | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | | | | Case 2:
% 71.75/10.84 | | | | | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | | | | | (2060) all_64_4 = e2 | all_64_4 = e1 | all_64_4 = e0
% 71.75/10.84 | | | | | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | | | | | BETA: splitting (278) gives:
% 71.75/10.84 | | | | | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | | | | | Case 1:
% 71.75/10.84 | | | | | | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | | | | | | (2061) all_64_3 = e3
% 71.75/10.84 | | | | | | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (529), (2061) imply:
% 71.75/10.84 | | | | | | | | | | | | | | | | | | (2062) all_36_0 = e3
% 71.75/10.84 | | | | | | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | | | | | | REDUCE: (737), (2062) imply:
% 71.75/10.84 | | | | | | | | | | | | | | | | | | (2063) ~ (all_14_0 = e3)
% 71.75/10.84 | | | | | | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | | | | | | SIMP: (2063) implies:
% 71.75/10.84 | | | | | | | | | | | | | | | | | | (2064) ~ (all_14_0 = e3)
% 71.75/10.84 | | | | | | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | | | | | | BETA: splitting (280) gives:
% 71.75/10.84 | | | | | | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | | | | | | Case 1:
% 71.75/10.84 | | | | | | | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | | | | | | | (2065) all_64_1 = e3
% 71.75/10.84 | | | | | | | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (525), (2065) imply:
% 71.75/10.84 | | | | | | | | | | | | | | | | | | | (2066) all_14_0 = e3
% 71.75/10.84 | | | | | | | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | | | | | | | REDUCE: (2064), (2066) imply:
% 71.75/10.84 | | | | | | | | | | | | | | | | | | | (2067) $false
% 71.75/10.84 | | | | | | | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | | | | | | | CLOSE: (2067) is inconsistent.
% 71.75/10.84 | | | | | | | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | | | | | | Case 2:
% 71.75/10.84 | | | | | | | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | | | | | | | (2068) all_64_1 = e2 | all_64_1 = e1 | all_64_1 = e0
% 71.75/10.84 | | | | | | | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | | | | | | | BETA: splitting (2068) gives:
% 71.75/10.84 | | | | | | | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | | | | | | | Case 1:
% 71.75/10.84 | | | | | | | | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | | | | | | | | (2069) all_64_1 = e2
% 71.75/10.84 | | | | | | | | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (525), (2069) imply:
% 71.75/10.84 | | | | | | | | | | | | | | | | | | | | (2070) all_14_0 = e2
% 71.75/10.84 | | | | | | | | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | | | | | | | | REDUCE: (733), (2070) imply:
% 71.75/10.84 | | | | | | | | | | | | | | | | | | | | (2071) ~ (all_20_0 = e2)
% 71.75/10.84 | | | | | | | | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | | | | | | | | BETA: splitting (269) gives:
% 71.75/10.84 | | | | | | | | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.75/10.84 | | | | | | | | | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | | | | | | | | | (2072) all_64_13 = e3
% 71.75/10.84 | | | | | | | | | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (550), (2072) imply:
% 71.75/10.84 | | | | | | | | | | | | | | | | | | | | | (2073) all_20_0 = e3
% 71.75/10.84 | | | | | | | | | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | | | | | | | | | REDUCE: (2048), (2073) imply:
% 71.75/10.84 | | | | | | | | | | | | | | | | | | | | | (2074) $false
% 71.75/10.84 | | | | | | | | | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | | | | | | | | | CLOSE: (2074) is inconsistent.
% 71.75/10.84 | | | | | | | | | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.75/10.84 | | | | | | | | | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | | | | | | | | | (2075) all_64_13 = e2 | all_64_13 = e1 | all_64_13 = e0
% 71.75/10.84 | | | | | | | | | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2056) gives:
% 71.75/10.84 | | | | | | | | | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 71.75/10.84 | | | | | | | | | | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | | | | | | | | | | (2076) all_64_9 = e1
% 71.75/10.84 | | | | | | | | | | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (542), (2076) imply:
% 71.75/10.84 | | | | | | | | | | | | | | | | | | | | | | (2077) all_10_0 = e1
% 71.75/10.84 | | | | | | | | | | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2044), (2077) imply:
% 71.75/10.84 | | | | | | | | | | | | | | | | | | | | | | (2078) $false
% 71.75/10.84 | | | | | | | | | | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2078) is inconsistent.
% 71.75/10.84 | | | | | | | | | | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 71.75/10.84 | | | | | | | | | | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | | | | | | | | | | (2079) all_64_9 = e0
% 71.75/10.84 | | | | | | | | | | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (542), (2079) imply:
% 71.75/10.84 | | | | | | | | | | | | | | | | | | | | | | (2080) all_10_0 = e0
% 71.75/10.84 | | | | | | | | | | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (745), (2080) imply:
% 71.75/10.84 | | | | | | | | | | | | | | | | | | | | | | (2081) ~ (all_20_0 = e0)
% 71.75/10.84 | | | | | | | | | | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (550), (2042), (2071), (2075), (2081) are
% 71.75/10.84 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #38.
% 71.75/10.84 | | | | | | | | | | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | | | | | | | | | End of split
% 71.75/10.84 | | | | | | | | | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | | | | | | | | End of split
% 71.75/10.84 | | | | | | | | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | | | | | | | Case 2:
% 71.75/10.84 | | | | | | | | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | | | | | | | | (2082) all_64_1 = e1 | all_64_1 = e0
% 71.75/10.84 | | | | | | | | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (525), (1973), (2043), (2082) are inconsistent by
% 71.75/10.84 | | | | | | | | | | | | | | | | | | | | sub-proof #70.
% 71.75/10.84 | | | | | | | | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | | | | | | | End of split
% 71.75/10.84 | | | | | | | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | | | | | | End of split
% 71.75/10.84 | | | | | | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | | | | | Case 2:
% 71.75/10.84 | | | | | | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | | | | | | (2083) all_64_3 = e2 | all_64_3 = e1 | all_64_3 = e0
% 71.75/10.84 | | | | | | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | | | | | | REF_CLOSE: (274), (529), (687), (689), (717), (760), (904),
% 71.75/10.84 | | | | | | | | | | | | | | | | | | (1968), (1974), (2020), (2041), (2046), (2060),
% 71.75/10.84 | | | | | | | | | | | | | | | | | | (2083) are inconsistent by sub-proof #14.
% 71.75/10.84 | | | | | | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | | | | | End of split
% 71.75/10.84 | | | | | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | | | | End of split
% 71.75/10.84 | | | | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | | | End of split
% 71.75/10.84 | | | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | | End of split
% 71.75/10.84 | | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | Case 2:
% 71.75/10.84 | | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | | (2084) ~ (all_46_1 = e1)
% 71.75/10.84 | | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | | REDUCE: (2040), (2084) imply:
% 71.75/10.84 | | | | | | | | | | | | | | (2085) $false
% 71.75/10.84 | | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | | CLOSE: (2085) is inconsistent.
% 71.75/10.84 | | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | End of split
% 71.75/10.84 | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | Case 2:
% 71.75/10.84 | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | (2086) ~ (all_30_1 = e1)
% 71.75/10.84 | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | REDUCE: (2039), (2086) imply:
% 71.75/10.84 | | | | | | | | | | | | | (2087) $false
% 71.75/10.84 | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | | CLOSE: (2087) is inconsistent.
% 71.75/10.84 | | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | End of split
% 71.75/10.84 | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | Case 2:
% 71.75/10.84 | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | (2088) all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 &
% 71.75/10.84 | | | | | | | | | | | | all_56_3 = e0
% 71.75/10.84 | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | | REF_CLOSE: (680), (1965), (2088) are inconsistent by
% 71.75/10.84 | | | | | | | | | | | | sub-proof #16.
% 71.75/10.84 | | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | | End of split
% 71.75/10.84 | | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | | End of split
% 71.75/10.84 | | | | | | | | | |
% 71.75/10.84 | | | | | | | | | End of split
% 71.75/10.84 | | | | | | | | |
% 71.75/10.84 | | | | | | | | Case 2:
% 71.75/10.84 | | | | | | | | |
% 71.75/10.84 | | | | | | | | | (2089) all_22_0 = e1
% 71.75/10.84 | | | | | | | | | (2090) ~ (all_22_1 = e3)
% 71.75/10.84 | | | | | | | | |
% 71.75/10.84 | | | | | | | | | REDUCE: (762), (2089) imply:
% 71.75/10.85 | | | | | | | | | (2091) ~ (all_8_0 = e1)
% 71.75/10.85 | | | | | | | | |
% 71.75/10.85 | | | | | | | | | SIMP: (2091) implies:
% 71.75/10.85 | | | | | | | | | (2092) ~ (all_8_0 = e1)
% 71.75/10.85 | | | | | | | | |
% 71.75/10.85 | | | | | | | | | REDUCE: (763), (2089) imply:
% 71.75/10.85 | | | | | | | | | (2093) ~ (all_8_1 = e1)
% 71.75/10.85 | | | | | | | | |
% 71.75/10.85 | | | | | | | | | SIMP: (2093) implies:
% 71.75/10.85 | | | | | | | | | (2094) ~ (all_8_1 = e1)
% 71.75/10.85 | | | | | | | | |
% 71.75/10.85 | | | | | | | | | REDUCE: (667), (2090) imply:
% 71.75/10.85 | | | | | | | | | (2095) ~ (all_8_1 = e3)
% 71.75/10.85 | | | | | | | | |
% 71.75/10.85 | | | | | | | | | BETA: splitting (163) gives:
% 71.75/10.85 | | | | | | | | |
% 71.75/10.85 | | | | | | | | | Case 1:
% 71.75/10.85 | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | | (2096) (all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 &
% 71.75/10.85 | | | | | | | | | | all_56_3 = e3) | (all_56_0 = e2 & all_56_1 = e2
% 71.75/10.85 | | | | | | | | | | & all_56_2 = e2 & all_56_3 = e2)
% 71.75/10.85 | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | | BETA: splitting (2096) gives:
% 71.75/10.85 | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | | Case 1:
% 71.75/10.85 | | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | | | (2097) all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 &
% 71.75/10.85 | | | | | | | | | | | all_56_3 = e3
% 71.75/10.85 | | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | | | REF_CLOSE: (679), (2095), (2097) are inconsistent by
% 71.75/10.85 | | | | | | | | | | | sub-proof #73.
% 71.75/10.85 | | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | | Case 2:
% 71.75/10.85 | | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | | | (2098) all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 &
% 71.75/10.85 | | | | | | | | | | | all_56_3 = e2
% 71.75/10.85 | | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | | | ALPHA: (2098) implies:
% 71.75/10.85 | | | | | | | | | | | (2099) all_56_3 = e2
% 71.75/10.85 | | | | | | | | | | | (2100) all_56_2 = e2
% 71.75/10.85 | | | | | | | | | | | (2101) all_56_1 = e2
% 71.75/10.85 | | | | | | | | | | | (2102) all_56_0 = e2
% 71.75/10.85 | | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | | | COMBINE_EQS: (559), (2102) imply:
% 71.75/10.85 | | | | | | | | | | | (2103) all_4_1 = e2
% 71.75/10.85 | | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | | | SIMP: (2103) implies:
% 71.75/10.85 | | | | | | | | | | | (2104) all_4_1 = e2
% 71.75/10.85 | | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | | | COMBINE_EQS: (600), (2101) imply:
% 71.75/10.85 | | | | | | | | | | | (2105) all_10_1 = e2
% 71.75/10.85 | | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | | | SIMP: (2105) implies:
% 71.75/10.85 | | | | | | | | | | | (2106) all_10_1 = e2
% 71.75/10.85 | | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | | | COMBINE_EQS: (680), (2100) imply:
% 71.75/10.85 | | | | | | | | | | | (2107) all_12_1 = e2
% 71.75/10.85 | | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | | | SIMP: (2107) implies:
% 71.75/10.85 | | | | | | | | | | | (2108) all_12_1 = e2
% 71.75/10.85 | | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | | | COMBINE_EQS: (679), (2099) imply:
% 71.75/10.85 | | | | | | | | | | | (2109) all_8_1 = e2
% 71.75/10.85 | | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | | | SIMP: (2109) implies:
% 71.75/10.85 | | | | | | | | | | | (2110) all_8_1 = e2
% 71.75/10.85 | | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | | | COMBINE_EQS: (634), (2104) imply:
% 71.75/10.85 | | | | | | | | | | | (2111) all_32_1 = e2
% 71.75/10.85 | | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | | | COMBINE_EQS: (673), (2104) imply:
% 71.75/10.85 | | | | | | | | | | | (2112) all_34_1 = e2
% 71.75/10.85 | | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | | | COMBINE_EQS: (451), (2108) imply:
% 71.75/10.85 | | | | | | | | | | | (2113) all_40_1 = e2
% 71.75/10.85 | | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | | | REDUCE: (759), (2110) imply:
% 71.75/10.85 | | | | | | | | | | | (2114) ~ (all_42_0 = e2)
% 71.75/10.85 | | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | | | REDUCE: (706), (2104) imply:
% 71.75/10.85 | | | | | | | | | | | (2115) ~ (all_40_0 = e2)
% 71.75/10.85 | | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | | | REDUCE: (702), (2104) imply:
% 71.75/10.85 | | | | | | | | | | | (2116) ~ (all_28_0 = e2)
% 71.75/10.85 | | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | | | REDUCE: (739), (2106) imply:
% 71.75/10.85 | | | | | | | | | | | (2117) ~ (all_10_0 = e2)
% 71.75/10.85 | | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | | | REDUCE: (764), (2110) imply:
% 71.75/10.85 | | | | | | | | | | | (2118) ~ (all_8_0 = e2)
% 71.75/10.85 | | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | | | BETA: splitting (121) gives:
% 71.75/10.85 | | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | | | Case 1:
% 71.75/10.85 | | | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | | | | (2119) ~ (all_40_0 = e0)
% 71.75/10.85 | | | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | | | | BETA: splitting (271) gives:
% 71.75/10.85 | | | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | | | | Case 1:
% 71.75/10.85 | | | | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | | | | | (2120) all_64_11 = e3
% 71.75/10.85 | | | | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | | | | | COMBINE_EQS: (546), (2120) imply:
% 71.75/10.85 | | | | | | | | | | | | | (2121) all_8_0 = e3
% 71.75/10.85 | | | | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | | | | | REDUCE: (905), (2121) imply:
% 71.75/10.85 | | | | | | | | | | | | | (2122) $false
% 71.75/10.85 | | | | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | | | | | CLOSE: (2122) is inconsistent.
% 71.75/10.85 | | | | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | | | | Case 2:
% 71.75/10.85 | | | | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | | | | | (2123) all_64_11 = e2 | all_64_11 = e1 | all_64_11 = e0
% 71.75/10.85 | | | | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | | | | | BETA: splitting (2123) gives:
% 71.75/10.85 | | | | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | | | | | Case 1:
% 71.75/10.85 | | | | | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | | | | | | (2124) all_64_11 = e2
% 71.75/10.85 | | | | | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | | | | | | COMBINE_EQS: (546), (2124) imply:
% 71.75/10.85 | | | | | | | | | | | | | | (2125) all_8_0 = e2
% 71.75/10.85 | | | | | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | | | | | | REDUCE: (2118), (2125) imply:
% 71.75/10.85 | | | | | | | | | | | | | | (2126) $false
% 71.75/10.85 | | | | | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | | | | | | CLOSE: (2126) is inconsistent.
% 71.75/10.85 | | | | | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | | | | | Case 2:
% 71.75/10.85 | | | | | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | | | | | | (2127) all_64_11 = e1 | all_64_11 = e0
% 71.75/10.85 | | | | | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | | | | | | BETA: splitting (2127) gives:
% 71.75/10.85 | | | | | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | | | | | | Case 1:
% 71.75/10.85 | | | | | | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | | | | | | | (2128) all_64_11 = e1
% 71.75/10.85 | | | | | | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | | | | | | | COMBINE_EQS: (546), (2128) imply:
% 71.75/10.85 | | | | | | | | | | | | | | | (2129) all_8_0 = e1
% 71.75/10.85 | | | | | | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | | | | | | | REDUCE: (2092), (2129) imply:
% 71.75/10.85 | | | | | | | | | | | | | | | (2130) $false
% 71.75/10.85 | | | | | | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | | | | | | | CLOSE: (2130) is inconsistent.
% 71.75/10.85 | | | | | | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | | | | | | Case 2:
% 71.75/10.85 | | | | | | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | | | | | | | (2131) all_64_11 = e0
% 71.75/10.85 | | | | | | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | | | | | | | COMBINE_EQS: (546), (2131) imply:
% 71.75/10.85 | | | | | | | | | | | | | | | (2132) all_8_0 = e0
% 71.75/10.85 | | | | | | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | | | | | | | REDUCE: (746), (2132) imply:
% 71.75/10.85 | | | | | | | | | | | | | | | (2133) ~ (all_10_0 = e0)
% 71.75/10.85 | | | | | | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | | | | | | | REF_CLOSE: (105), (109), (268), (270), (272), (273), (279),
% 71.75/10.85 | | | | | | | | | | | | | | | (494), (542), (551), (595), (596), (684), (686),
% 71.75/10.85 | | | | | | | | | | | | | | | (719), (721), (728), (752), (903), (953), (1966),
% 71.75/10.85 | | | | | | | | | | | | | | | (1967), (2111), (2112), (2114), (2115), (2116),
% 71.75/10.85 | | | | | | | | | | | | | | | (2117), (2119), (2133) are inconsistent by
% 71.75/10.85 | | | | | | | | | | | | | | | sub-proof #11.
% 71.75/10.85 | | | | | | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | | | | | | End of split
% 71.75/10.85 | | | | | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | | | | | End of split
% 71.75/10.85 | | | | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | | | | End of split
% 71.75/10.85 | | | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | | | Case 2:
% 71.75/10.85 | | | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | | | | (2134) ~ (all_40_1 = e2)
% 71.75/10.85 | | | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | | | | REDUCE: (2113), (2134) imply:
% 71.75/10.85 | | | | | | | | | | | | (2135) $false
% 71.75/10.85 | | | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | | | | CLOSE: (2135) is inconsistent.
% 71.75/10.85 | | | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | | | End of split
% 71.75/10.85 | | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | | End of split
% 71.75/10.85 | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | Case 2:
% 71.75/10.85 | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | | (2136) (all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 &
% 71.75/10.85 | | | | | | | | | | all_56_3 = e1) | (all_56_0 = e0 & all_56_1 = e0
% 71.75/10.85 | | | | | | | | | | & all_56_2 = e0 & all_56_3 = e0)
% 71.75/10.85 | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | | BETA: splitting (2136) gives:
% 71.75/10.85 | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | | Case 1:
% 71.75/10.85 | | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | | | (2137) all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 &
% 71.75/10.85 | | | | | | | | | | | all_56_3 = e1
% 71.75/10.85 | | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | | | REF_CLOSE: (679), (2094), (2137) are inconsistent by
% 71.75/10.85 | | | | | | | | | | | sub-proof #54.
% 71.75/10.85 | | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | | Case 2:
% 71.75/10.85 | | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | | | (2138) all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 &
% 71.75/10.85 | | | | | | | | | | | all_56_3 = e0
% 71.75/10.85 | | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | | | REF_CLOSE: (680), (1965), (2138) are inconsistent by
% 71.75/10.85 | | | | | | | | | | | sub-proof #16.
% 71.75/10.85 | | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | | End of split
% 71.75/10.85 | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | End of split
% 71.75/10.85 | | | | | | | | |
% 71.75/10.85 | | | | | | | | End of split
% 71.75/10.85 | | | | | | | |
% 71.75/10.85 | | | | | | | Case 2:
% 71.75/10.85 | | | | | | | |
% 71.75/10.85 | | | | | | | | (2139) all_14_0 = e0
% 71.75/10.85 | | | | | | | | (2140) ~ (all_14_1 = e1)
% 71.75/10.85 | | | | | | | |
% 71.75/10.85 | | | | | | | | REDUCE: (735), (2139) imply:
% 71.75/10.85 | | | | | | | | (2141) ~ (all_40_0 = e0)
% 71.75/10.85 | | | | | | | |
% 71.75/10.85 | | | | | | | | REDUCE: (731), (2139) imply:
% 71.75/10.85 | | | | | | | | (2142) ~ (all_10_0 = e0)
% 71.75/10.85 | | | | | | | |
% 71.75/10.85 | | | | | | | | SIMP: (2142) implies:
% 71.75/10.85 | | | | | | | | (2143) ~ (all_10_0 = e0)
% 71.75/10.85 | | | | | | | |
% 71.75/10.85 | | | | | | | | REDUCE: (704), (2139) imply:
% 71.75/10.85 | | | | | | | | (2144) ~ (all_4_1 = e0)
% 71.75/10.85 | | | | | | | |
% 71.75/10.85 | | | | | | | | SIMP: (2144) implies:
% 71.75/10.85 | | | | | | | | (2145) ~ (all_4_1 = e0)
% 71.75/10.85 | | | | | | | |
% 71.75/10.85 | | | | | | | | REDUCE: (671), (2140) imply:
% 71.75/10.85 | | | | | | | | (2146) ~ (all_10_1 = e1)
% 71.75/10.85 | | | | | | | |
% 71.75/10.85 | | | | | | | | BETA: splitting (163) gives:
% 71.75/10.85 | | | | | | | |
% 71.75/10.85 | | | | | | | | Case 1:
% 71.75/10.85 | | | | | | | | |
% 71.75/10.85 | | | | | | | | | (2147) (all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 &
% 71.75/10.85 | | | | | | | | | all_56_3 = e3) | (all_56_0 = e2 & all_56_1 = e2 &
% 71.75/10.85 | | | | | | | | | all_56_2 = e2 & all_56_3 = e2)
% 71.75/10.85 | | | | | | | | |
% 71.75/10.85 | | | | | | | | | BETA: splitting (2147) gives:
% 71.75/10.85 | | | | | | | | |
% 71.75/10.85 | | | | | | | | | Case 1:
% 71.75/10.85 | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | | (2148) all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 &
% 71.75/10.85 | | | | | | | | | | all_56_3 = e3
% 71.75/10.85 | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | | REF_CLOSE: (600), (1970), (2148) are inconsistent by
% 71.75/10.85 | | | | | | | | | | sub-proof #32.
% 71.75/10.85 | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | Case 2:
% 71.75/10.85 | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | | (2149) all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 &
% 71.75/10.85 | | | | | | | | | | all_56_3 = e2
% 71.75/10.85 | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | | ALPHA: (2149) implies:
% 71.75/10.85 | | | | | | | | | | (2150) all_56_3 = e2
% 71.75/10.85 | | | | | | | | | | (2151) all_56_1 = e2
% 71.75/10.85 | | | | | | | | | | (2152) all_56_0 = e2
% 71.75/10.85 | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | | COMBINE_EQS: (559), (2152) imply:
% 71.75/10.85 | | | | | | | | | | (2153) all_4_1 = e2
% 71.75/10.85 | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | | COMBINE_EQS: (600), (2151) imply:
% 71.75/10.85 | | | | | | | | | | (2154) all_10_1 = e2
% 71.75/10.85 | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | | SIMP: (2154) implies:
% 71.75/10.85 | | | | | | | | | | (2155) all_10_1 = e2
% 71.75/10.85 | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | | COMBINE_EQS: (679), (2150) imply:
% 71.75/10.85 | | | | | | | | | | (2156) all_8_1 = e2
% 71.75/10.85 | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | | SIMP: (2156) implies:
% 71.75/10.85 | | | | | | | | | | (2157) all_8_1 = e2
% 71.75/10.85 | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | | COMBINE_EQS: (634), (2153) imply:
% 71.75/10.85 | | | | | | | | | | (2158) all_32_1 = e2
% 71.75/10.85 | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | | COMBINE_EQS: (673), (2153) imply:
% 71.75/10.85 | | | | | | | | | | (2159) all_34_1 = e2
% 71.75/10.85 | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | | REDUCE: (759), (2157) imply:
% 71.75/10.85 | | | | | | | | | | (2160) ~ (all_42_0 = e2)
% 71.75/10.85 | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | | REDUCE: (706), (2153) imply:
% 71.75/10.85 | | | | | | | | | | (2161) ~ (all_40_0 = e2)
% 71.75/10.85 | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | | REDUCE: (702), (2153) imply:
% 71.75/10.85 | | | | | | | | | | (2162) ~ (all_28_0 = e2)
% 71.75/10.85 | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | | REDUCE: (739), (2155) imply:
% 71.75/10.85 | | | | | | | | | | (2163) ~ (all_10_0 = e2)
% 71.75/10.85 | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | | REF_CLOSE: (105), (109), (268), (270), (272), (273), (279),
% 71.75/10.85 | | | | | | | | | | (494), (542), (551), (595), (596), (684), (686),
% 71.75/10.85 | | | | | | | | | | (719), (721), (728), (752), (903), (953), (1966),
% 71.75/10.85 | | | | | | | | | | (1967), (2141), (2143), (2158), (2159), (2160),
% 71.75/10.85 | | | | | | | | | | (2161), (2162), (2163) are inconsistent by
% 71.75/10.85 | | | | | | | | | | sub-proof #11.
% 71.75/10.85 | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | End of split
% 71.75/10.85 | | | | | | | | |
% 71.75/10.85 | | | | | | | | Case 2:
% 71.75/10.85 | | | | | | | | |
% 71.75/10.85 | | | | | | | | | (2164) (all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 &
% 71.75/10.85 | | | | | | | | | all_56_3 = e1) | (all_56_0 = e0 & all_56_1 = e0 &
% 71.75/10.85 | | | | | | | | | all_56_2 = e0 & all_56_3 = e0)
% 71.75/10.85 | | | | | | | | |
% 71.75/10.85 | | | | | | | | | BETA: splitting (2164) gives:
% 71.75/10.85 | | | | | | | | |
% 71.75/10.85 | | | | | | | | | Case 1:
% 71.75/10.85 | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | | (2165) all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 &
% 71.75/10.85 | | | | | | | | | | all_56_3 = e1
% 71.75/10.85 | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | | REF_CLOSE: (600), (2146), (2165) are inconsistent by
% 71.75/10.85 | | | | | | | | | | sub-proof #71.
% 71.75/10.85 | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | Case 2:
% 71.75/10.85 | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | | (2166) all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 &
% 71.75/10.85 | | | | | | | | | | all_56_3 = e0
% 71.75/10.85 | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | | REF_CLOSE: (559), (2145), (2166) are inconsistent by
% 71.75/10.85 | | | | | | | | | | sub-proof #10.
% 71.75/10.85 | | | | | | | | | |
% 71.75/10.85 | | | | | | | | | End of split
% 71.75/10.85 | | | | | | | | |
% 71.75/10.85 | | | | | | | | End of split
% 71.75/10.85 | | | | | | | |
% 71.75/10.85 | | | | | | | End of split
% 71.75/10.85 | | | | | | |
% 71.75/10.85 | | | | | | End of split
% 71.75/10.85 | | | | | |
% 71.75/10.85 | | | | | Case 2:
% 71.75/10.85 | | | | | |
% 71.75/10.85 | | | | | | (2167) all_10_0 = e3
% 71.75/10.85 | | | | | | (2168) ~ (all_10_1 = e0)
% 71.75/10.85 | | | | | |
% 71.75/10.85 | | | | | | REDUCE: (745), (2167) imply:
% 71.75/10.85 | | | | | | (2169) ~ (all_20_0 = e3)
% 71.75/10.85 | | | | | |
% 71.75/10.85 | | | | | | REDUCE: (731), (2167) imply:
% 71.75/10.85 | | | | | | (2170) ~ (all_14_0 = e3)
% 71.75/10.85 | | | | | |
% 71.75/10.85 | | | | | | REDUCE: (739), (2167) imply:
% 71.75/10.85 | | | | | | (2171) ~ (all_10_1 = e3)
% 71.75/10.85 | | | | | |
% 71.75/10.85 | | | | | | SIMP: (2171) implies:
% 71.75/10.85 | | | | | | (2172) ~ (all_10_1 = e3)
% 71.75/10.85 | | | | | |
% 71.75/10.85 | | | | | | REDUCE: (746), (2167) imply:
% 71.75/10.85 | | | | | | (2173) ~ (all_8_0 = e3)
% 71.75/10.85 | | | | | |
% 71.75/10.85 | | | | | | REDUCE: (721), (2167) imply:
% 71.75/10.85 | | | | | | (2174) ~ (all_4_0 = e3)
% 71.75/10.85 | | | | | |
% 71.75/10.85 | | | | | | SIMP: (2174) implies:
% 71.75/10.85 | | | | | | (2175) ~ (all_4_0 = e3)
% 71.75/10.85 | | | | | |
% 71.75/10.85 | | | | | | REDUCE: (807), (2167) imply:
% 71.75/10.86 | | | | | | (2176) op(e3, e3) = all_66_36
% 71.75/10.86 | | | | | |
% 71.75/10.86 | | | | | | REDUCE: (808), (2167) imply:
% 71.75/10.86 | | | | | | (2177) op(e3, e2) = all_66_37
% 71.75/10.86 | | | | | |
% 71.75/10.86 | | | | | | REDUCE: (809), (2167) imply:
% 71.75/10.86 | | | | | | (2178) op(e3, e1) = all_66_38
% 71.75/10.86 | | | | | |
% 71.75/10.86 | | | | | | REDUCE: (810), (2167) imply:
% 71.75/10.86 | | | | | | (2179) op(e3, e0) = all_66_39
% 71.75/10.86 | | | | | |
% 71.75/10.86 | | | | | | REDUCE: (844), (2167) imply:
% 71.75/10.86 | | | | | | (2180) op(e3, e3) = all_66_9
% 71.75/10.86 | | | | | |
% 71.75/10.86 | | | | | | REDUCE: (861), (2167) imply:
% 71.75/10.86 | | | | | | (2181) op(e2, e3) = all_66_25
% 71.75/10.86 | | | | | |
% 71.75/10.86 | | | | | | REDUCE: (878), (2167) imply:
% 71.75/10.86 | | | | | | (2182) op(e1, e3) = all_66_41
% 71.75/10.86 | | | | | |
% 71.75/10.86 | | | | | | REDUCE: (895), (2167) imply:
% 71.75/10.86 | | | | | | (2183) op(e0, e3) = all_66_67
% 71.75/10.86 | | | | | |
% 71.75/10.86 | | | | | | GROUND_INST: instantiating (45) with all_28_0, all_66_67, e3, e0,
% 71.75/10.86 | | | | | | simplifying with (95), (2183) gives:
% 71.75/10.86 | | | | | | (2184) all_66_67 = all_28_0
% 71.75/10.86 | | | | | |
% 71.75/10.86 | | | | | | GROUND_INST: instantiating (45) with all_4_0, all_66_41, e3, e1,
% 71.75/10.86 | | | | | | simplifying with (47), (2182) gives:
% 71.75/10.86 | | | | | | (2185) all_66_41 = all_4_0
% 71.75/10.86 | | | | | |
% 71.75/10.86 | | | | | | GROUND_INST: instantiating (45) with all_6_0, all_66_25, e3, e2,
% 71.75/10.86 | | | | | | simplifying with (51), (2181) gives:
% 71.75/10.86 | | | | | | (2186) all_66_25 = all_6_0
% 71.75/10.86 | | | | | |
% 71.75/10.86 | | | | | | GROUND_INST: instantiating (45) with all_36_0, all_66_39, e0, e3,
% 71.75/10.86 | | | | | | simplifying with (112), (2179) gives:
% 71.75/10.86 | | | | | | (2187) all_66_39 = all_36_0
% 71.75/10.86 | | | | | |
% 71.75/10.86 | | | | | | GROUND_INST: instantiating (45) with all_40_0, all_66_38, e1, e3,
% 71.75/10.86 | | | | | | simplifying with (120), (2178) gives:
% 71.75/10.86 | | | | | | (2188) all_66_38 = all_40_0
% 71.75/10.86 | | | | | |
% 71.75/10.86 | | | | | | GROUND_INST: instantiating (45) with all_14_0, all_66_37, e2, e3,
% 71.75/10.86 | | | | | | simplifying with (68), (2177) gives:
% 71.75/10.86 | | | | | | (2189) all_66_37 = all_14_0
% 71.75/10.86 | | | | | |
% 71.75/10.86 | | | | | | GROUND_INST: instantiating (45) with all_4_1, all_66_9, e3, e3,
% 71.75/10.86 | | | | | | simplifying with (48), (2180) gives:
% 71.75/10.86 | | | | | | (2190) all_66_9 = all_4_1
% 71.75/10.86 | | | | | |
% 71.75/10.86 | | | | | | GROUND_INST: instantiating (45) with all_66_36, all_66_9, e3, e3,
% 71.75/10.86 | | | | | | simplifying with (2176), (2180) gives:
% 71.75/10.86 | | | | | | (2191) all_66_9 = all_66_36
% 71.75/10.86 | | | | | |
% 71.75/10.86 | | | | | | COMBINE_EQS: (2190), (2191) imply:
% 71.75/10.86 | | | | | | (2192) all_66_36 = all_4_1
% 71.75/10.86 | | | | | |
% 71.75/10.86 | | | | | | REDUCE: (780), (2190) imply:
% 71.75/10.86 | | | | | | (2193) op(all_40_0, e2) = all_4_1
% 71.75/10.86 | | | | | |
% 71.75/10.86 | | | | | | REDUCE: (796), (2186) imply:
% 71.75/10.86 | | | | | | (2194) op(all_12_0, e2) = all_6_0
% 71.75/10.86 | | | | | |
% 71.75/10.86 | | | | | | REDUCE: (875), (2188) imply:
% 71.75/10.86 | | | | | | (2195) op(e1, all_12_0) = all_40_0
% 71.75/10.86 | | | | | |
% 71.75/10.86 | | | | | | REDUCE: (874), (2189) imply:
% 71.75/10.86 | | | | | | (2196) op(e1, all_10_1) = all_14_0
% 71.75/10.86 | | | | | |
% 71.75/10.86 | | | | | | REDUCE: (873), (2192) imply:
% 71.75/10.86 | | | | | | (2197) op(e1, all_6_0) = all_4_1
% 71.75/10.86 | | | | | |
% 71.75/10.86 | | | | | | BETA: splitting (65) gives:
% 71.75/10.86 | | | | | |
% 71.75/10.86 | | | | | | Case 1:
% 71.75/10.86 | | | | | | |
% 71.75/10.86 | | | | | | | (2198) ~ (all_12_0 = e3)
% 71.75/10.86 | | | | | | |
% 71.75/10.86 | | | | | | | BETA: splitting (69) gives:
% 71.75/10.86 | | | | | | |
% 71.75/10.86 | | | | | | | Case 1:
% 71.75/10.86 | | | | | | | |
% 71.75/10.86 | | | | | | | | (2199) ~ (all_14_0 = e0)
% 71.75/10.86 | | | | | | | |
% 71.75/10.86 | | | | | | | | BETA: splitting (89) gives:
% 71.75/10.86 | | | | | | | |
% 71.75/10.86 | | | | | | | | Case 1:
% 71.75/10.86 | | | | | | | | |
% 71.75/10.86 | | | | | | | | | (2200) ~ (all_24_0 = e2)
% 71.75/10.86 | | | | | | | | |
% 71.75/10.86 | | | | | | | | | REDUCE: (616), (2200) imply:
% 71.75/10.86 | | | | | | | | | (2201) ~ (all_8_0 = e2)
% 71.75/10.86 | | | | | | | | |
% 71.75/10.86 | | | | | | | | | BETA: splitting (101) gives:
% 71.75/10.86 | | | | | | | | |
% 71.75/10.86 | | | | | | | | | Case 1:
% 71.75/10.86 | | | | | | | | | |
% 71.75/10.86 | | | | | | | | | | (2202) ~ (all_30_0 = e0)
% 71.75/10.86 | | | | | | | | | |
% 71.75/10.86 | | | | | | | | | | REDUCE: (593), (2202) imply:
% 71.75/10.86 | | | | | | | | | | (2203) ~ (all_6_0 = e0)
% 71.75/10.86 | | | | | | | | | |
% 71.75/10.86 | | | | | | | | | | BETA: splitting (105) gives:
% 71.75/10.86 | | | | | | | | | |
% 71.75/10.86 | | | | | | | | | | Case 1:
% 71.75/10.86 | | | | | | | | | | |
% 71.75/10.86 | | | | | | | | | | | (2204) ~ (all_32_0 = e0)
% 71.75/10.86 | | | | | | | | | | |
% 71.75/10.86 | | | | | | | | | | | REDUCE: (595), (2204) imply:
% 71.75/10.86 | | | | | | | | | | | (2205) ~ (all_4_0 = e0)
% 71.75/10.86 | | | | | | | | | | |
% 71.75/10.86 | | | | | | | | | | | BETA: splitting (273) gives:
% 71.75/10.86 | | | | | | | | | | |
% 71.75/10.86 | | | | | | | | | | | Case 1:
% 71.75/10.86 | | | | | | | | | | | |
% 71.75/10.86 | | | | | | | | | | | | (2206) all_64_8 = e3
% 71.75/10.86 | | | | | | | | | | | |
% 71.75/10.86 | | | | | | | | | | | | COMBINE_EQS: (686), (2206) imply:
% 71.75/10.86 | | | | | | | | | | | | (2207) all_4_0 = e3
% 71.75/10.86 | | | | | | | | | | | |
% 71.75/10.86 | | | | | | | | | | | | REDUCE: (2175), (2207) imply:
% 71.75/10.86 | | | | | | | | | | | | (2208) $false
% 71.75/10.86 | | | | | | | | | | | |
% 71.75/10.86 | | | | | | | | | | | | CLOSE: (2208) is inconsistent.
% 71.75/10.86 | | | | | | | | | | | |
% 71.75/10.86 | | | | | | | | | | | Case 2:
% 71.75/10.86 | | | | | | | | | | | |
% 71.75/10.86 | | | | | | | | | | | | (2209) all_64_8 = e2 | all_64_8 = e1 | all_64_8 = e0
% 71.75/10.86 | | | | | | | | | | | |
% 71.75/10.86 | | | | | | | | | | | | REF_CLOSE: (45), (47), (163), (277), (559), (600), (686),
% 71.75/10.86 | | | | | | | | | | | | (689), (698), (700), (709), (903), (2168), (2172),
% 71.75/10.86 | | | | | | | | | | | | (2197), (2203), (2205), (2209) are inconsistent by
% 71.75/10.86 | | | | | | | | | | | | sub-proof #8.
% 71.75/10.86 | | | | | | | | | | | |
% 71.75/10.86 | | | | | | | | | | | End of split
% 71.75/10.86 | | | | | | | | | | |
% 71.75/10.86 | | | | | | | | | | Case 2:
% 71.75/10.86 | | | | | | | | | | |
% 71.75/10.86 | | | | | | | | | | | (2210) all_32_0 = e0
% 71.75/10.86 | | | | | | | | | | | (2211) ~ (all_32_1 = e2)
% 71.75/10.86 | | | | | | | | | | |
% 71.75/10.86 | | | | | | | | | | | COMBINE_EQS: (595), (2210) imply:
% 71.75/10.86 | | | | | | | | | | | (2212) all_4_0 = e0
% 71.75/10.86 | | | | | | | | | | |
% 71.75/10.86 | | | | | | | | | | | SIMP: (2212) implies:
% 71.75/10.86 | | | | | | | | | | | (2213) all_4_0 = e0
% 71.75/10.86 | | | | | | | | | | |
% 71.75/10.86 | | | | | | | | | | | REDUCE: (634), (2211) imply:
% 71.75/10.86 | | | | | | | | | | | (2214) ~ (all_4_1 = e2)
% 71.75/10.86 | | | | | | | | | | |
% 71.75/10.86 | | | | | | | | | | | REDUCE: (725), (2213) imply:
% 71.75/10.86 | | | | | | | | | | | (2215) ~ (all_8_0 = e0)
% 71.75/10.86 | | | | | | | | | | |
% 71.75/10.86 | | | | | | | | | | | REDUCE: (700), (2213) imply:
% 71.75/10.86 | | | | | | | | | | | (2216) ~ (all_4_1 = e0)
% 71.75/10.86 | | | | | | | | | | |
% 71.75/10.86 | | | | | | | | | | | SIMP: (2216) implies:
% 71.75/10.86 | | | | | | | | | | | (2217) ~ (all_4_1 = e0)
% 71.75/10.86 | | | | | | | | | | |
% 71.75/10.86 | | | | | | | | | | | REF_CLOSE: (163), (271), (546), (559), (600), (679), (764),
% 71.75/10.86 | | | | | | | | | | | (905), (2172), (2201), (2214), (2215), (2217) are
% 71.75/10.86 | | | | | | | | | | | inconsistent by sub-proof #6.
% 71.75/10.86 | | | | | | | | | | |
% 71.75/10.86 | | | | | | | | | | End of split
% 71.75/10.86 | | | | | | | | | |
% 71.75/10.86 | | | | | | | | | Case 2:
% 71.75/10.86 | | | | | | | | | |
% 71.75/10.86 | | | | | | | | | | (2218) all_30_0 = e0
% 71.75/10.86 | | | | | | | | | | (2219) ~ (all_30_1 = e1)
% 71.75/10.86 | | | | | | | | | |
% 71.75/10.86 | | | | | | | | | | COMBINE_EQS: (593), (2218) imply:
% 71.75/10.86 | | | | | | | | | | (2220) all_6_0 = e0
% 71.75/10.86 | | | | | | | | | |
% 71.75/10.86 | | | | | | | | | | SIMP: (2220) implies:
% 71.75/10.86 | | | | | | | | | | (2221) all_6_0 = e0
% 71.75/10.86 | | | | | | | | | |
% 71.75/10.86 | | | | | | | | | | REDUCE: (661), (2219) imply:
% 71.75/10.86 | | | | | | | | | | (2222) ~ (all_4_1 = e1)
% 71.75/10.86 | | | | | | | | | |
% 71.75/10.86 | | | | | | | | | | REDUCE: (715), (2221) imply:
% 71.75/10.86 | | | | | | | | | | (2223) ~ (all_12_0 = e0)
% 71.75/10.86 | | | | | | | | | |
% 71.75/10.86 | | | | | | | | | | REDUCE: (698), (2221) imply:
% 71.75/10.86 | | | | | | | | | | (2224) ~ (all_4_1 = e0)
% 71.75/10.86 | | | | | | | | | |
% 71.75/10.86 | | | | | | | | | | SIMP: (2224) implies:
% 71.75/10.86 | | | | | | | | | | (2225) ~ (all_4_1 = e0)
% 71.75/10.86 | | | | | | | | | |
% 71.75/10.86 | | | | | | | | | | BETA: splitting (163) gives:
% 71.75/10.86 | | | | | | | | | |
% 71.75/10.86 | | | | | | | | | | Case 1:
% 71.75/10.86 | | | | | | | | | | |
% 71.75/10.86 | | | | | | | | | | | (2226) (all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 &
% 71.75/10.86 | | | | | | | | | | | all_56_3 = e3) | (all_56_0 = e2 & all_56_1 = e2
% 71.75/10.86 | | | | | | | | | | | & all_56_2 = e2 & all_56_3 = e2)
% 71.75/10.86 | | | | | | | | | | |
% 71.75/10.86 | | | | | | | | | | | BETA: splitting (2226) gives:
% 71.75/10.86 | | | | | | | | | | |
% 71.75/10.86 | | | | | | | | | | | Case 1:
% 71.75/10.86 | | | | | | | | | | | |
% 71.75/10.86 | | | | | | | | | | | | (2227) all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 &
% 71.75/10.86 | | | | | | | | | | | | all_56_3 = e3
% 71.75/10.86 | | | | | | | | | | | |
% 71.75/10.86 | | | | | | | | | | | | REF_CLOSE: (600), (2172), (2227) are inconsistent by
% 71.75/10.86 | | | | | | | | | | | | sub-proof #32.
% 71.75/10.86 | | | | | | | | | | | |
% 71.75/10.86 | | | | | | | | | | | Case 2:
% 71.75/10.86 | | | | | | | | | | | |
% 71.75/10.86 | | | | | | | | | | | | (2228) all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 &
% 71.75/10.86 | | | | | | | | | | | | all_56_3 = e2
% 71.75/10.86 | | | | | | | | | | | |
% 71.75/10.86 | | | | | | | | | | | | ALPHA: (2228) implies:
% 71.75/10.86 | | | | | | | | | | | | (2229) all_56_3 = e2
% 71.75/10.86 | | | | | | | | | | | | (2230) all_56_2 = e2
% 71.75/10.86 | | | | | | | | | | | | (2231) all_56_1 = e2
% 71.75/10.86 | | | | | | | | | | | | (2232) all_56_0 = e2
% 71.75/10.86 | | | | | | | | | | | |
% 71.75/10.86 | | | | | | | | | | | | COMBINE_EQS: (559), (2232) imply:
% 71.75/10.86 | | | | | | | | | | | | (2233) all_4_1 = e2
% 71.75/10.86 | | | | | | | | | | | |
% 71.75/10.86 | | | | | | | | | | | | SIMP: (2233) implies:
% 71.75/10.86 | | | | | | | | | | | | (2234) all_4_1 = e2
% 71.75/10.86 | | | | | | | | | | | |
% 71.75/10.86 | | | | | | | | | | | | COMBINE_EQS: (600), (2231) imply:
% 71.75/10.86 | | | | | | | | | | | | (2235) all_10_1 = e2
% 71.75/10.86 | | | | | | | | | | | |
% 71.75/10.86 | | | | | | | | | | | | SIMP: (2235) implies:
% 71.75/10.86 | | | | | | | | | | | | (2236) all_10_1 = e2
% 71.75/10.86 | | | | | | | | | | | |
% 71.75/10.86 | | | | | | | | | | | | COMBINE_EQS: (680), (2230) imply:
% 71.75/10.86 | | | | | | | | | | | | (2237) all_12_1 = e2
% 71.75/10.86 | | | | | | | | | | | |
% 71.75/10.86 | | | | | | | | | | | | SIMP: (2237) implies:
% 71.75/10.86 | | | | | | | | | | | | (2238) all_12_1 = e2
% 71.75/10.86 | | | | | | | | | | | |
% 71.75/10.86 | | | | | | | | | | | | COMBINE_EQS: (679), (2229) imply:
% 71.75/10.86 | | | | | | | | | | | | (2239) all_8_1 = e2
% 71.75/10.86 | | | | | | | | | | | |
% 71.75/10.86 | | | | | | | | | | | | SIMP: (2239) implies:
% 71.75/10.86 | | | | | | | | | | | | (2240) all_8_1 = e2
% 71.75/10.86 | | | | | | | | | | | |
% 71.75/10.86 | | | | | | | | | | | | COMBINE_EQS: (676), (2238) imply:
% 71.75/10.86 | | | | | | | | | | | | (2241) all_42_1 = e2
% 71.75/10.86 | | | | | | | | | | | |
% 71.75/10.86 | | | | | | | | | | | | REDUCE: (759), (2240) imply:
% 71.75/10.86 | | | | | | | | | | | | (2242) ~ (all_42_0 = e2)
% 71.75/10.86 | | | | | | | | | | | |
% 71.75/10.86 | | | | | | | | | | | | REDUCE: (749), (2240) imply:
% 71.75/10.86 | | | | | | | | | | | | (2243) ~ (all_20_0 = e2)
% 71.75/10.86 | | | | | | | | | | | |
% 71.75/10.86 | | | | | | | | | | | | REDUCE: (704), (2234) imply:
% 71.75/10.86 | | | | | | | | | | | | (2244) ~ (all_14_0 = e2)
% 71.75/10.86 | | | | | | | | | | | |
% 71.75/10.86 | | | | | | | | | | | | REDUCE: (741), (2236) imply:
% 71.75/10.86 | | | | | | | | | | | | (2245) ~ (all_12_0 = e2)
% 71.75/10.86 | | | | | | | | | | | |
% 71.75/10.86 | | | | | | | | | | | | BETA: splitting (125) gives:
% 71.75/10.86 | | | | | | | | | | | |
% 71.75/10.86 | | | | | | | | | | | | Case 1:
% 71.75/10.86 | | | | | | | | | | | | |
% 71.75/10.86 | | | | | | | | | | | | | (2246) ~ (all_42_0 = e3)
% 71.75/10.86 | | | | | | | | | | | | |
% 71.75/10.86 | | | | | | | | | | | | | BETA: splitting (280) gives:
% 71.75/10.86 | | | | | | | | | | | | |
% 71.75/10.86 | | | | | | | | | | | | | Case 1:
% 71.75/10.86 | | | | | | | | | | | | | |
% 71.75/10.86 | | | | | | | | | | | | | | (2247) all_64_1 = e3
% 71.75/10.86 | | | | | | | | | | | | | |
% 71.75/10.86 | | | | | | | | | | | | | | COMBINE_EQS: (525), (2247) imply:
% 71.75/10.86 | | | | | | | | | | | | | | (2248) all_14_0 = e3
% 71.75/10.86 | | | | | | | | | | | | | |
% 71.75/10.86 | | | | | | | | | | | | | | REDUCE: (2170), (2248) imply:
% 71.75/10.86 | | | | | | | | | | | | | | (2249) $false
% 71.75/10.86 | | | | | | | | | | | | | |
% 72.19/10.86 | | | | | | | | | | | | | | CLOSE: (2249) is inconsistent.
% 72.19/10.86 | | | | | | | | | | | | | |
% 72.19/10.86 | | | | | | | | | | | | | Case 2:
% 72.19/10.86 | | | | | | | | | | | | | |
% 72.19/10.86 | | | | | | | | | | | | | | (2250) all_64_1 = e2 | all_64_1 = e1 | all_64_1 = e0
% 72.19/10.86 | | | | | | | | | | | | | |
% 72.19/10.86 | | | | | | | | | | | | | | BETA: splitting (2250) gives:
% 72.19/10.86 | | | | | | | | | | | | | |
% 72.19/10.86 | | | | | | | | | | | | | | Case 1:
% 72.19/10.86 | | | | | | | | | | | | | | |
% 72.19/10.86 | | | | | | | | | | | | | | | (2251) all_64_1 = e2
% 72.19/10.86 | | | | | | | | | | | | | | |
% 72.19/10.86 | | | | | | | | | | | | | | | COMBINE_EQS: (525), (2251) imply:
% 72.19/10.86 | | | | | | | | | | | | | | | (2252) all_14_0 = e2
% 72.19/10.86 | | | | | | | | | | | | | | |
% 72.19/10.86 | | | | | | | | | | | | | | | REDUCE: (2244), (2252) imply:
% 72.19/10.86 | | | | | | | | | | | | | | | (2253) $false
% 72.19/10.86 | | | | | | | | | | | | | | |
% 72.19/10.86 | | | | | | | | | | | | | | | CLOSE: (2253) is inconsistent.
% 72.19/10.86 | | | | | | | | | | | | | | |
% 72.19/10.86 | | | | | | | | | | | | | | Case 2:
% 72.19/10.86 | | | | | | | | | | | | | | |
% 72.19/10.86 | | | | | | | | | | | | | | | (2254) all_64_1 = e1 | all_64_1 = e0
% 72.19/10.86 | | | | | | | | | | | | | | |
% 72.19/10.86 | | | | | | | | | | | | | | | BETA: splitting (275) gives:
% 72.19/10.86 | | | | | | | | | | | | | | |
% 72.19/10.86 | | | | | | | | | | | | | | | Case 1:
% 72.19/10.86 | | | | | | | | | | | | | | | |
% 72.19/10.86 | | | | | | | | | | | | | | | | (2255) all_64_6 = e3
% 72.19/10.86 | | | | | | | | | | | | | | | |
% 72.19/10.86 | | | | | | | | | | | | | | | | REF_CLOSE: (688), (2198), (2255) are inconsistent by
% 72.19/10.86 | | | | | | | | | | | | | | | | sub-proof #95.
% 72.19/10.86 | | | | | | | | | | | | | | | |
% 72.19/10.86 | | | | | | | | | | | | | | | Case 2:
% 72.19/10.86 | | | | | | | | | | | | | | | |
% 72.19/10.86 | | | | | | | | | | | | | | | | (2256) all_64_6 = e2 | all_64_6 = e1 | all_64_6 = e0
% 72.19/10.86 | | | | | | | | | | | | | | | |
% 72.19/10.86 | | | | | | | | | | | | | | | | BETA: splitting (2256) gives:
% 72.19/10.86 | | | | | | | | | | | | | | | |
% 72.19/10.86 | | | | | | | | | | | | | | | | Case 1:
% 72.19/10.86 | | | | | | | | | | | | | | | | |
% 72.19/10.86 | | | | | | | | | | | | | | | | | (2257) all_64_6 = e2
% 72.19/10.86 | | | | | | | | | | | | | | | | |
% 72.19/10.86 | | | | | | | | | | | | | | | | | REF_CLOSE: (688), (2245), (2257) are inconsistent by
% 72.19/10.86 | | | | | | | | | | | | | | | | | sub-proof #41.
% 72.19/10.86 | | | | | | | | | | | | | | | | |
% 72.19/10.86 | | | | | | | | | | | | | | | | Case 2:
% 72.19/10.86 | | | | | | | | | | | | | | | | |
% 72.19/10.86 | | | | | | | | | | | | | | | | | (2258) all_64_6 = e1 | all_64_6 = e0
% 72.19/10.86 | | | | | | | | | | | | | | | | |
% 72.19/10.86 | | | | | | | | | | | | | | | | | BETA: splitting (2254) gives:
% 72.19/10.86 | | | | | | | | | | | | | | | | |
% 72.19/10.86 | | | | | | | | | | | | | | | | | Case 1:
% 72.19/10.86 | | | | | | | | | | | | | | | | | |
% 72.19/10.86 | | | | | | | | | | | | | | | | | | (2259) all_64_1 = e1
% 72.19/10.86 | | | | | | | | | | | | | | | | | |
% 72.19/10.86 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (525), (2259) imply:
% 72.19/10.86 | | | | | | | | | | | | | | | | | | (2260) all_14_0 = e1
% 72.19/10.86 | | | | | | | | | | | | | | | | | |
% 72.19/10.86 | | | | | | | | | | | | | | | | | | REDUCE: (733), (2260) imply:
% 72.19/10.86 | | | | | | | | | | | | | | | | | | (2261) ~ (all_20_0 = e1)
% 72.19/10.86 | | | | | | | | | | | | | | | | | |
% 72.19/10.86 | | | | | | | | | | | | | | | | | | BETA: splitting (269) gives:
% 72.19/10.86 | | | | | | | | | | | | | | | | | |
% 72.19/10.86 | | | | | | | | | | | | | | | | | | Case 1:
% 72.19/10.86 | | | | | | | | | | | | | | | | | | |
% 72.19/10.86 | | | | | | | | | | | | | | | | | | | (2262) all_64_13 = e3
% 72.19/10.86 | | | | | | | | | | | | | | | | | | |
% 72.19/10.86 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (550), (2169), (2262) are inconsistent by
% 72.19/10.86 | | | | | | | | | | | | | | | | | | | sub-proof #17.
% 72.19/10.86 | | | | | | | | | | | | | | | | | | |
% 72.19/10.86 | | | | | | | | | | | | | | | | | | Case 2:
% 72.19/10.86 | | | | | | | | | | | | | | | | | | |
% 72.19/10.86 | | | | | | | | | | | | | | | | | | | (2263) all_64_13 = e2 | all_64_13 = e1 | all_64_13 = e0
% 72.19/10.86 | | | | | | | | | | | | | | | | | | |
% 72.19/10.86 | | | | | | | | | | | | | | | | | | | BETA: splitting (2258) gives:
% 72.19/10.86 | | | | | | | | | | | | | | | | | | |
% 72.19/10.86 | | | | | | | | | | | | | | | | | | | Case 1:
% 72.19/10.86 | | | | | | | | | | | | | | | | | | | |
% 72.19/10.86 | | | | | | | | | | | | | | | | | | | | (2264) all_64_6 = e1
% 72.19/10.86 | | | | | | | | | | | | | | | | | | | |
% 72.19/10.86 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (688), (2264) imply:
% 72.19/10.86 | | | | | | | | | | | | | | | | | | | | (2265) all_12_0 = e1
% 72.19/10.86 | | | | | | | | | | | | | | | | | | | |
% 72.19/10.86 | | | | | | | | | | | | | | | | | | | | SIMP: (2265) implies:
% 72.19/10.86 | | | | | | | | | | | | | | | | | | | | (2266) all_12_0 = e1
% 72.19/10.86 | | | | | | | | | | | | | | | | | | | |
% 72.19/10.86 | | | | | | | | | | | | | | | | | | | | REDUCE: (756), (2266) imply:
% 72.19/10.86 | | | | | | | | | | | | | | | | | | | | (2267) ~ (all_42_0 = e1)
% 72.19/10.86 | | | | | | | | | | | | | | | | | | | |
% 72.19/10.86 | | | | | | | | | | | | | | | | | | | | BETA: splitting (2263) gives:
% 72.19/10.86 | | | | | | | | | | | | | | | | | | | |
% 72.19/10.86 | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.19/10.86 | | | | | | | | | | | | | | | | | | | | |
% 72.19/10.86 | | | | | | | | | | | | | | | | | | | | | (2268) all_64_13 = e2
% 72.19/10.86 | | | | | | | | | | | | | | | | | | | | |
% 72.19/10.86 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (550), (2268) imply:
% 72.19/10.86 | | | | | | | | | | | | | | | | | | | | | (2269) all_20_0 = e2
% 72.19/10.86 | | | | | | | | | | | | | | | | | | | | |
% 72.19/10.86 | | | | | | | | | | | | | | | | | | | | | REDUCE: (2243), (2269) imply:
% 72.19/10.86 | | | | | | | | | | | | | | | | | | | | | (2270) $false
% 72.19/10.86 | | | | | | | | | | | | | | | | | | | | |
% 72.19/10.86 | | | | | | | | | | | | | | | | | | | | | CLOSE: (2270) is inconsistent.
% 72.19/10.86 | | | | | | | | | | | | | | | | | | | | |
% 72.19/10.86 | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.19/10.86 | | | | | | | | | | | | | | | | | | | | |
% 72.19/10.86 | | | | | | | | | | | | | | | | | | | | | (2271) all_64_13 = e1 | all_64_13 = e0
% 72.19/10.86 | | | | | | | | | | | | | | | | | | | | |
% 72.19/10.86 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2271) gives:
% 72.19/10.86 | | | | | | | | | | | | | | | | | | | | |
% 72.19/10.86 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.19/10.86 | | | | | | | | | | | | | | | | | | | | | |
% 72.19/10.86 | | | | | | | | | | | | | | | | | | | | | | (2272) all_64_13 = e1
% 72.19/10.86 | | | | | | | | | | | | | | | | | | | | | |
% 72.19/10.86 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (550), (2272) imply:
% 72.19/10.86 | | | | | | | | | | | | | | | | | | | | | | (2273) all_20_0 = e1
% 72.19/10.86 | | | | | | | | | | | | | | | | | | | | | |
% 72.19/10.86 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2261), (2273) imply:
% 72.19/10.86 | | | | | | | | | | | | | | | | | | | | | | (2274) $false
% 72.19/10.86 | | | | | | | | | | | | | | | | | | | | | |
% 72.19/10.86 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2274) is inconsistent.
% 72.19/10.86 | | | | | | | | | | | | | | | | | | | | | |
% 72.19/10.86 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.19/10.86 | | | | | | | | | | | | | | | | | | | | | |
% 72.19/10.86 | | | | | | | | | | | | | | | | | | | | | | (2275) all_64_13 = e0
% 72.19/10.86 | | | | | | | | | | | | | | | | | | | | | |
% 72.19/10.86 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (550), (2275) imply:
% 72.19/10.86 | | | | | | | | | | | | | | | | | | | | | | (2276) all_20_0 = e0
% 72.19/10.86 | | | | | | | | | | | | | | | | | | | | | |
% 72.19/10.86 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (748), (2276) imply:
% 72.19/10.86 | | | | | | | | | | | | | | | | | | | | | | (2277) ~ (all_42_0 = e0)
% 72.19/10.86 | | | | | | | | | | | | | | | | | | | | | |
% 72.19/10.86 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (268) gives:
% 72.19/10.86 | | | | | | | | | | | | | | | | | | | | | |
% 72.19/10.86 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.19/10.86 | | | | | | | | | | | | | | | | | | | | | | |
% 72.19/10.86 | | | | | | | | | | | | | | | | | | | | | | | (2278) all_64_14 = e3
% 72.19/10.86 | | | | | | | | | | | | | | | | | | | | | | |
% 72.19/10.86 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (551), (2246), (2278) are inconsistent by
% 72.19/10.86 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #59.
% 72.19/10.86 | | | | | | | | | | | | | | | | | | | | | | |
% 72.19/10.86 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.19/10.86 | | | | | | | | | | | | | | | | | | | | | | |
% 72.19/10.86 | | | | | | | | | | | | | | | | | | | | | | | (2279) all_64_14 = e2 | all_64_14 = e1 | all_64_14 = e0
% 72.19/10.86 | | | | | | | | | | | | | | | | | | | | | | |
% 72.19/10.86 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (551), (2242), (2267), (2277), (2279) are
% 72.19/10.86 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #5.
% 72.19/10.87 | | | | | | | | | | | | | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.19/10.87 | | | | | | | | | | | | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | | | | | | | | | | | End of split
% 72.19/10.87 | | | | | | | | | | | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | | | | | | | | | | End of split
% 72.19/10.87 | | | | | | | | | | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | | | | | | | | | Case 2:
% 72.19/10.87 | | | | | | | | | | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | | | | | | | | | | (2280) all_64_6 = e0
% 72.19/10.87 | | | | | | | | | | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (688), (2223), (2280) are inconsistent by
% 72.19/10.87 | | | | | | | | | | | | | | | | | | | | sub-proof #37.
% 72.19/10.87 | | | | | | | | | | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | | | | | | | | | End of split
% 72.19/10.87 | | | | | | | | | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | | | | | | | | End of split
% 72.19/10.87 | | | | | | | | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | | | | | | | Case 2:
% 72.19/10.87 | | | | | | | | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | | | | | | | | (2281) all_64_1 = e0
% 72.19/10.87 | | | | | | | | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (525), (2281) imply:
% 72.19/10.87 | | | | | | | | | | | | | | | | | | (2282) all_14_0 = e0
% 72.19/10.87 | | | | | | | | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | | | | | | | | REDUCE: (2199), (2282) imply:
% 72.19/10.87 | | | | | | | | | | | | | | | | | | (2283) $false
% 72.19/10.87 | | | | | | | | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | | | | | | | | CLOSE: (2283) is inconsistent.
% 72.19/10.87 | | | | | | | | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | | | | | | | End of split
% 72.19/10.87 | | | | | | | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | | | | | | End of split
% 72.19/10.87 | | | | | | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | | | | | End of split
% 72.19/10.87 | | | | | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | | | | End of split
% 72.19/10.87 | | | | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | | | End of split
% 72.19/10.87 | | | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | | Case 2:
% 72.19/10.87 | | | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | | | (2284) ~ (all_42_1 = e2)
% 72.19/10.87 | | | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | | | REDUCE: (2241), (2284) imply:
% 72.19/10.87 | | | | | | | | | | | | | (2285) $false
% 72.19/10.87 | | | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | | | CLOSE: (2285) is inconsistent.
% 72.19/10.87 | | | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | | End of split
% 72.19/10.87 | | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | End of split
% 72.19/10.87 | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | Case 2:
% 72.19/10.87 | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | (2286) (all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 &
% 72.19/10.87 | | | | | | | | | | | all_56_3 = e1) | (all_56_0 = e0 & all_56_1 = e0
% 72.19/10.87 | | | | | | | | | | | & all_56_2 = e0 & all_56_3 = e0)
% 72.19/10.87 | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | BETA: splitting (2286) gives:
% 72.19/10.87 | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | Case 1:
% 72.19/10.87 | | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | | (2287) all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 &
% 72.19/10.87 | | | | | | | | | | | | all_56_3 = e1
% 72.19/10.87 | | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | | REF_CLOSE: (559), (2222), (2287) are inconsistent by
% 72.19/10.87 | | | | | | | | | | | | sub-proof #65.
% 72.19/10.87 | | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | Case 2:
% 72.19/10.87 | | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | | (2288) all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 &
% 72.19/10.87 | | | | | | | | | | | | all_56_3 = e0
% 72.19/10.87 | | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | | REF_CLOSE: (559), (2225), (2288) are inconsistent by
% 72.19/10.87 | | | | | | | | | | | | sub-proof #77.
% 72.19/10.87 | | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | End of split
% 72.19/10.87 | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | End of split
% 72.19/10.87 | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | End of split
% 72.19/10.87 | | | | | | | | |
% 72.19/10.87 | | | | | | | | Case 2:
% 72.19/10.87 | | | | | | | | |
% 72.19/10.87 | | | | | | | | | (2289) all_24_0 = e2
% 72.19/10.87 | | | | | | | | | (2290) ~ (all_24_1 = e3)
% 72.19/10.87 | | | | | | | | |
% 72.19/10.87 | | | | | | | | | COMBINE_EQS: (616), (2289) imply:
% 72.19/10.87 | | | | | | | | | (2291) all_8_0 = e2
% 72.19/10.87 | | | | | | | | |
% 72.19/10.87 | | | | | | | | | REDUCE: (647), (2290) imply:
% 72.19/10.87 | | | | | | | | | (2292) ~ (all_8_1 = e3)
% 72.19/10.87 | | | | | | | | |
% 72.19/10.87 | | | | | | | | | REDUCE: (762), (2291) imply:
% 72.19/10.87 | | | | | | | | | (2293) ~ (all_22_0 = e2)
% 72.19/10.87 | | | | | | | | |
% 72.19/10.87 | | | | | | | | | REDUCE: (764), (2291) imply:
% 72.19/10.87 | | | | | | | | | (2294) ~ (all_8_1 = e2)
% 72.19/10.87 | | | | | | | | |
% 72.19/10.87 | | | | | | | | | SIMP: (2294) implies:
% 72.19/10.87 | | | | | | | | | (2295) ~ (all_8_1 = e2)
% 72.19/10.87 | | | | | | | | |
% 72.19/10.87 | | | | | | | | | BETA: splitting (163) gives:
% 72.19/10.87 | | | | | | | | |
% 72.19/10.87 | | | | | | | | | Case 1:
% 72.19/10.87 | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | (2296) (all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 &
% 72.19/10.87 | | | | | | | | | | all_56_3 = e3) | (all_56_0 = e2 & all_56_1 = e2
% 72.19/10.87 | | | | | | | | | | & all_56_2 = e2 & all_56_3 = e2)
% 72.19/10.87 | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | BETA: splitting (2296) gives:
% 72.19/10.87 | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | Case 1:
% 72.19/10.87 | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | (2297) all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 &
% 72.19/10.87 | | | | | | | | | | | all_56_3 = e3
% 72.19/10.87 | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | REF_CLOSE: (679), (2292), (2297) are inconsistent by
% 72.19/10.87 | | | | | | | | | | | sub-proof #73.
% 72.19/10.87 | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | Case 2:
% 72.19/10.87 | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | (2298) all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 &
% 72.19/10.87 | | | | | | | | | | | all_56_3 = e2
% 72.19/10.87 | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | REF_CLOSE: (679), (2295), (2298) are inconsistent by
% 72.19/10.87 | | | | | | | | | | | sub-proof #28.
% 72.19/10.87 | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | End of split
% 72.19/10.87 | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | Case 2:
% 72.19/10.87 | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | (2299) (all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 &
% 72.19/10.87 | | | | | | | | | | all_56_3 = e1) | (all_56_0 = e0 & all_56_1 = e0
% 72.19/10.87 | | | | | | | | | | & all_56_2 = e0 & all_56_3 = e0)
% 72.19/10.87 | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | BETA: splitting (2299) gives:
% 72.19/10.87 | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | Case 1:
% 72.19/10.87 | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | (2300) all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 &
% 72.19/10.87 | | | | | | | | | | | all_56_3 = e1
% 72.19/10.87 | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | ALPHA: (2300) implies:
% 72.19/10.87 | | | | | | | | | | | (2301) all_56_3 = e1
% 72.19/10.87 | | | | | | | | | | | (2302) all_56_1 = e1
% 72.19/10.87 | | | | | | | | | | | (2303) all_56_0 = e1
% 72.19/10.87 | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | COMBINE_EQS: (559), (2303) imply:
% 72.19/10.87 | | | | | | | | | | | (2304) all_4_1 = e1
% 72.19/10.87 | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | SIMP: (2304) implies:
% 72.19/10.87 | | | | | | | | | | | (2305) all_4_1 = e1
% 72.19/10.87 | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | COMBINE_EQS: (600), (2302) imply:
% 72.19/10.87 | | | | | | | | | | | (2306) all_10_1 = e1
% 72.19/10.87 | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | SIMP: (2306) implies:
% 72.19/10.87 | | | | | | | | | | | (2307) all_10_1 = e1
% 72.19/10.87 | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | COMBINE_EQS: (679), (2301) imply:
% 72.19/10.87 | | | | | | | | | | | (2308) all_8_1 = e1
% 72.19/10.87 | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | SIMP: (2308) implies:
% 72.19/10.87 | | | | | | | | | | | (2309) all_8_1 = e1
% 72.19/10.87 | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | COMBINE_EQS: (663), (2305) imply:
% 72.19/10.87 | | | | | | | | | | | (2310) all_28_1 = e1
% 72.19/10.87 | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | COMBINE_EQS: (675), (2309) imply:
% 72.19/10.87 | | | | | | | | | | | (2311) all_38_1 = e1
% 72.19/10.87 | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | REDUCE: (702), (2305) imply:
% 72.19/10.87 | | | | | | | | | | | (2312) ~ (all_28_0 = e1)
% 72.19/10.87 | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | REDUCE: (763), (2309) imply:
% 72.19/10.87 | | | | | | | | | | | (2313) ~ (all_22_0 = e1)
% 72.19/10.87 | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | REDUCE: (749), (2309) imply:
% 72.19/10.87 | | | | | | | | | | | (2314) ~ (all_20_0 = e1)
% 72.19/10.87 | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | REDUCE: (704), (2305) imply:
% 72.19/10.87 | | | | | | | | | | | (2315) ~ (all_14_0 = e1)
% 72.19/10.87 | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | REDUCE: (741), (2307) imply:
% 72.19/10.87 | | | | | | | | | | | (2316) ~ (all_12_0 = e1)
% 72.19/10.87 | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | BETA: splitting (97) gives:
% 72.19/10.87 | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | Case 1:
% 72.19/10.87 | | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | | (2317) ~ (all_28_0 = e2)
% 72.19/10.87 | | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | | BETA: splitting (117) gives:
% 72.19/10.87 | | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | | Case 1:
% 72.19/10.87 | | | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | | | (2318) ~ (all_38_0 = e3)
% 72.19/10.87 | | | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | | | REDUCE: (614), (2318) imply:
% 72.19/10.87 | | | | | | | | | | | | | (2319) ~ (all_22_0 = e3)
% 72.19/10.87 | | | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | | | BETA: splitting (274) gives:
% 72.19/10.87 | | | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | | | Case 1:
% 72.19/10.87 | | | | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | | | | (2320) all_64_7 = e3
% 72.19/10.87 | | | | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | | | | COMBINE_EQS: (687), (2320) imply:
% 72.19/10.87 | | | | | | | | | | | | | | (2321) all_22_0 = e3
% 72.19/10.87 | | | | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | | | | REDUCE: (2319), (2321) imply:
% 72.19/10.87 | | | | | | | | | | | | | | (2322) $false
% 72.19/10.87 | | | | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | | | | CLOSE: (2322) is inconsistent.
% 72.19/10.87 | | | | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | | | Case 2:
% 72.19/10.87 | | | | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | | | | (2323) all_64_7 = e2 | all_64_7 = e1 | all_64_7 = e0
% 72.19/10.87 | | | | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | | | | BETA: splitting (2323) gives:
% 72.19/10.87 | | | | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | | | | Case 1:
% 72.19/10.87 | | | | | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | | | | | (2324) all_64_7 = e2
% 72.19/10.87 | | | | | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | | | | | COMBINE_EQS: (687), (2324) imply:
% 72.19/10.87 | | | | | | | | | | | | | | | (2325) all_22_0 = e2
% 72.19/10.87 | | | | | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | | | | | REDUCE: (2293), (2325) imply:
% 72.19/10.87 | | | | | | | | | | | | | | | (2326) $false
% 72.19/10.87 | | | | | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | | | | | CLOSE: (2326) is inconsistent.
% 72.19/10.87 | | | | | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | | | | Case 2:
% 72.19/10.87 | | | | | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | | | | | (2327) all_64_7 = e1 | all_64_7 = e0
% 72.19/10.87 | | | | | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | | | | | BETA: splitting (2327) gives:
% 72.19/10.87 | | | | | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | | | | | Case 1:
% 72.19/10.87 | | | | | | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | | | | | | (2328) all_64_7 = e1
% 72.19/10.87 | | | | | | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | | | | | | COMBINE_EQS: (687), (2328) imply:
% 72.19/10.87 | | | | | | | | | | | | | | | | (2329) all_22_0 = e1
% 72.19/10.87 | | | | | | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | | | | | | REDUCE: (2313), (2329) imply:
% 72.19/10.87 | | | | | | | | | | | | | | | | (2330) $false
% 72.19/10.87 | | | | | | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | | | | | | CLOSE: (2330) is inconsistent.
% 72.19/10.87 | | | | | | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | | | | | Case 2:
% 72.19/10.87 | | | | | | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | | | | | | (2331) all_64_7 = e0
% 72.19/10.87 | | | | | | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | | | | | | COMBINE_EQS: (687), (2331) imply:
% 72.19/10.87 | | | | | | | | | | | | | | | | (2332) all_22_0 = e0
% 72.19/10.87 | | | | | | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | | | | | | REDUCE: (758), (2332) imply:
% 72.19/10.87 | | | | | | | | | | | | | | | | (2333) ~ (all_12_0 = e0)
% 72.19/10.87 | | | | | | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | | | | | | SIMP: (2333) implies:
% 72.19/10.87 | | | | | | | | | | | | | | | | (2334) ~ (all_12_0 = e0)
% 72.19/10.87 | | | | | | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | | | | | | REDUCE: (717), (2332) imply:
% 72.19/10.87 | | | | | | | | | | | | | | | | (2335) ~ (all_6_0 = e0)
% 72.19/10.87 | | | | | | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | | | | | | SIMP: (2335) implies:
% 72.19/10.87 | | | | | | | | | | | | | | | | (2336) ~ (all_6_0 = e0)
% 72.19/10.87 | | | | | | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | | | | | | BETA: splitting (275) gives:
% 72.19/10.87 | | | | | | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | | | | | | Case 1:
% 72.19/10.87 | | | | | | | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | | | | | | | (2337) all_64_6 = e3
% 72.19/10.87 | | | | | | | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | | | | | | | REF_CLOSE: (688), (2198), (2337) are inconsistent by
% 72.19/10.87 | | | | | | | | | | | | | | | | | sub-proof #95.
% 72.19/10.87 | | | | | | | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | | | | | | Case 2:
% 72.19/10.87 | | | | | | | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | | | | | | | (2338) all_64_6 = e2 | all_64_6 = e1 | all_64_6 = e0
% 72.19/10.87 | | | | | | | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | | | | | | | BETA: splitting (2338) gives:
% 72.19/10.87 | | | | | | | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | | | | | | | Case 1:
% 72.19/10.87 | | | | | | | | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | | | | | | | | (2339) all_64_6 = e2
% 72.19/10.87 | | | | | | | | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (688), (2339) imply:
% 72.19/10.87 | | | | | | | | | | | | | | | | | | (2340) all_12_0 = e2
% 72.19/10.87 | | | | | | | | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | | | | | | | | SIMP: (2340) implies:
% 72.19/10.87 | | | | | | | | | | | | | | | | | | (2341) all_12_0 = e2
% 72.19/10.87 | | | | | | | | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | | | | | | | | REDUCE: (715), (2341) imply:
% 72.19/10.87 | | | | | | | | | | | | | | | | | | (2342) ~ (all_6_0 = e2)
% 72.19/10.87 | | | | | | | | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | | | | | | | | SIMP: (2342) implies:
% 72.19/10.87 | | | | | | | | | | | | | | | | | | (2343) ~ (all_6_0 = e2)
% 72.19/10.87 | | | | | | | | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | | | | | | | | REF_CLOSE: (269), (270), (277), (280), (525), (550), (684),
% 72.19/10.87 | | | | | | | | | | | | | | | | | | (689), (711), (726), (733), (904), (2169), (2170),
% 72.19/10.87 | | | | | | | | | | | | | | | | | | (2199), (2312), (2314), (2315), (2317), (2336),
% 72.19/10.87 | | | | | | | | | | | | | | | | | | (2343) are inconsistent by sub-proof #4.
% 72.19/10.87 | | | | | | | | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | | | | | | | Case 2:
% 72.19/10.87 | | | | | | | | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | | | | | | | | (2344) all_64_6 = e1 | all_64_6 = e0
% 72.19/10.87 | | | | | | | | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | | | | | | | | REF_CLOSE: (688), (2316), (2334), (2344) are inconsistent by
% 72.19/10.87 | | | | | | | | | | | | | | | | | | sub-proof #88.
% 72.19/10.87 | | | | | | | | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | | | | | | | End of split
% 72.19/10.87 | | | | | | | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | | | | | | End of split
% 72.19/10.87 | | | | | | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | | | | | End of split
% 72.19/10.87 | | | | | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | | | | End of split
% 72.19/10.87 | | | | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | | | End of split
% 72.19/10.87 | | | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | | Case 2:
% 72.19/10.87 | | | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | | | (2345) ~ (all_38_1 = e1)
% 72.19/10.87 | | | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | | | REDUCE: (2311), (2345) imply:
% 72.19/10.87 | | | | | | | | | | | | | (2346) $false
% 72.19/10.87 | | | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | | | CLOSE: (2346) is inconsistent.
% 72.19/10.87 | | | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | | End of split
% 72.19/10.87 | | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | Case 2:
% 72.19/10.87 | | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | | (2347) ~ (all_28_1 = e1)
% 72.19/10.87 | | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | | REDUCE: (2310), (2347) imply:
% 72.19/10.87 | | | | | | | | | | | | (2348) $false
% 72.19/10.87 | | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | | CLOSE: (2348) is inconsistent.
% 72.19/10.87 | | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | End of split
% 72.19/10.87 | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | Case 2:
% 72.19/10.87 | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | (2349) all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 &
% 72.19/10.87 | | | | | | | | | | | all_56_3 = e0
% 72.19/10.87 | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | | REF_CLOSE: (600), (2168), (2349) are inconsistent by
% 72.19/10.87 | | | | | | | | | | | sub-proof #29.
% 72.19/10.87 | | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | End of split
% 72.19/10.87 | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | End of split
% 72.19/10.87 | | | | | | | | |
% 72.19/10.87 | | | | | | | | End of split
% 72.19/10.87 | | | | | | | |
% 72.19/10.87 | | | | | | | Case 2:
% 72.19/10.87 | | | | | | | |
% 72.19/10.87 | | | | | | | | (2350) all_14_0 = e0
% 72.19/10.87 | | | | | | | | (2351) ~ (all_14_1 = e1)
% 72.19/10.87 | | | | | | | |
% 72.19/10.87 | | | | | | | | REDUCE: (735), (2350) imply:
% 72.19/10.87 | | | | | | | | (2352) ~ (all_40_0 = e0)
% 72.19/10.87 | | | | | | | |
% 72.19/10.87 | | | | | | | | REDUCE: (737), (2350) imply:
% 72.19/10.87 | | | | | | | | (2353) ~ (all_36_0 = e0)
% 72.19/10.87 | | | | | | | |
% 72.19/10.87 | | | | | | | | REDUCE: (730), (2350) imply:
% 72.19/10.87 | | | | | | | | (2354) ~ (all_10_1 = e0)
% 72.19/10.87 | | | | | | | |
% 72.19/10.87 | | | | | | | | REDUCE: (704), (2350) imply:
% 72.19/10.87 | | | | | | | | (2355) ~ (all_4_1 = e0)
% 72.19/10.87 | | | | | | | |
% 72.19/10.87 | | | | | | | | SIMP: (2355) implies:
% 72.19/10.87 | | | | | | | | (2356) ~ (all_4_1 = e0)
% 72.19/10.87 | | | | | | | |
% 72.19/10.87 | | | | | | | | REDUCE: (671), (2351) imply:
% 72.19/10.87 | | | | | | | | (2357) ~ (all_10_1 = e1)
% 72.19/10.87 | | | | | | | |
% 72.19/10.87 | | | | | | | | BETA: splitting (163) gives:
% 72.19/10.87 | | | | | | | |
% 72.19/10.87 | | | | | | | | Case 1:
% 72.19/10.87 | | | | | | | | |
% 72.19/10.87 | | | | | | | | | (2358) (all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 &
% 72.19/10.87 | | | | | | | | | all_56_3 = e3) | (all_56_0 = e2 & all_56_1 = e2 &
% 72.19/10.87 | | | | | | | | | all_56_2 = e2 & all_56_3 = e2)
% 72.19/10.87 | | | | | | | | |
% 72.19/10.87 | | | | | | | | | BETA: splitting (2358) gives:
% 72.19/10.87 | | | | | | | | |
% 72.19/10.87 | | | | | | | | | Case 1:
% 72.19/10.87 | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | (2359) all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 &
% 72.19/10.87 | | | | | | | | | | all_56_3 = e3
% 72.19/10.87 | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | REF_CLOSE: (600), (2172), (2359) are inconsistent by
% 72.19/10.87 | | | | | | | | | | sub-proof #32.
% 72.19/10.87 | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | Case 2:
% 72.19/10.87 | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | (2360) all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 &
% 72.19/10.87 | | | | | | | | | | all_56_3 = e2
% 72.19/10.87 | | | | | | | | | |
% 72.19/10.87 | | | | | | | | | | ALPHA: (2360) implies:
% 72.19/10.87 | | | | | | | | | | (2361) all_56_3 = e2
% 72.19/10.87 | | | | | | | | | | (2362) all_56_1 = e2
% 72.19/10.87 | | | | | | | | | | (2363) all_56_0 = e2
% 72.19/10.87 | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | COMBINE_EQS: (559), (2363) imply:
% 72.19/10.88 | | | | | | | | | | (2364) all_4_1 = e2
% 72.19/10.88 | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | COMBINE_EQS: (600), (2362) imply:
% 72.19/10.88 | | | | | | | | | | (2365) all_10_1 = e2
% 72.19/10.88 | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | SIMP: (2365) implies:
% 72.19/10.88 | | | | | | | | | | (2366) all_10_1 = e2
% 72.19/10.88 | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | COMBINE_EQS: (679), (2361) imply:
% 72.19/10.88 | | | | | | | | | | (2367) all_8_1 = e2
% 72.19/10.88 | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | SIMP: (2367) implies:
% 72.19/10.88 | | | | | | | | | | (2368) all_8_1 = e2
% 72.19/10.88 | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | COMBINE_EQS: (634), (2364) imply:
% 72.19/10.88 | | | | | | | | | | (2369) all_32_1 = e2
% 72.19/10.88 | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | COMBINE_EQS: (556), (2368) imply:
% 72.19/10.88 | | | | | | | | | | (2370) all_44_1 = e2
% 72.19/10.88 | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | REDUCE: (706), (2364) imply:
% 72.19/10.88 | | | | | | | | | | (2371) ~ (all_40_0 = e2)
% 72.19/10.88 | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | REDUCE: (708), (2364) imply:
% 72.19/10.88 | | | | | | | | | | (2372) ~ (all_36_0 = e2)
% 72.19/10.88 | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | REDUCE: (741), (2366) imply:
% 72.19/10.88 | | | | | | | | | | (2373) ~ (all_12_0 = e2)
% 72.19/10.88 | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | BETA: splitting (105) gives:
% 72.19/10.88 | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | Case 1:
% 72.19/10.88 | | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | | (2374) ~ (all_32_0 = e0)
% 72.19/10.88 | | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | | REDUCE: (595), (2374) imply:
% 72.19/10.88 | | | | | | | | | | | (2375) ~ (all_4_0 = e0)
% 72.19/10.88 | | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | | BETA: splitting (273) gives:
% 72.19/10.88 | | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | | Case 1:
% 72.19/10.88 | | | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | | | (2376) all_64_8 = e3
% 72.19/10.88 | | | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | | | COMBINE_EQS: (686), (2376) imply:
% 72.19/10.88 | | | | | | | | | | | | (2377) all_4_0 = e3
% 72.19/10.88 | | | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | | | REDUCE: (2175), (2377) imply:
% 72.19/10.88 | | | | | | | | | | | | (2378) $false
% 72.19/10.88 | | | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | | | CLOSE: (2378) is inconsistent.
% 72.19/10.88 | | | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | | Case 2:
% 72.19/10.88 | | | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | | | (2379) all_64_8 = e2 | all_64_8 = e1 | all_64_8 = e0
% 72.19/10.88 | | | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | | | BETA: splitting (129) gives:
% 72.19/10.88 | | | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | | | Case 1:
% 72.19/10.88 | | | | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | | | | (2380) ~ (all_44_0 = e1)
% 72.19/10.88 | | | | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | | | | REDUCE: (613), (2380) imply:
% 72.19/10.88 | | | | | | | | | | | | | (2381) ~ (all_36_0 = e1)
% 72.19/10.88 | | | | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | | | | BETA: splitting (278) gives:
% 72.19/10.88 | | | | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | | | | Case 1:
% 72.19/10.88 | | | | | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | | | | | (2382) all_64_3 = e3
% 72.19/10.88 | | | | | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | | | | | COMBINE_EQS: (529), (2382) imply:
% 72.19/10.88 | | | | | | | | | | | | | | (2383) all_36_0 = e3
% 72.19/10.88 | | | | | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | | | | | REDUCE: (753), (2383) imply:
% 72.19/10.88 | | | | | | | | | | | | | | (2384) ~ (all_40_0 = e3)
% 72.19/10.88 | | | | | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | | | | | BETA: splitting (279) gives:
% 72.19/10.88 | | | | | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | | | | | Case 1:
% 72.19/10.88 | | | | | | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | | | | | | (2385) all_64_2 = e3
% 72.19/10.88 | | | | | | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | | | | | | COMBINE_EQS: (494), (2385) imply:
% 72.19/10.88 | | | | | | | | | | | | | | | (2386) all_40_0 = e3
% 72.19/10.88 | | | | | | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | | | | | | REDUCE: (2384), (2386) imply:
% 72.19/10.88 | | | | | | | | | | | | | | | (2387) $false
% 72.19/10.88 | | | | | | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | | | | | | CLOSE: (2387) is inconsistent.
% 72.19/10.88 | | | | | | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | | | | | Case 2:
% 72.19/10.88 | | | | | | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | | | | | | (2388) all_64_2 = e2 | all_64_2 = e1 | all_64_2 = e0
% 72.19/10.88 | | | | | | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | | | | | | BETA: splitting (2388) gives:
% 72.19/10.88 | | | | | | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | | | | | | Case 1:
% 72.19/10.88 | | | | | | | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | | | | | | | (2389) all_64_2 = e2
% 72.19/10.88 | | | | | | | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (2389) imply:
% 72.19/10.88 | | | | | | | | | | | | | | | | (2390) all_40_0 = e2
% 72.19/10.88 | | | | | | | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | | | | | | | REDUCE: (2371), (2390) imply:
% 72.19/10.88 | | | | | | | | | | | | | | | | (2391) $false
% 72.19/10.88 | | | | | | | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | | | | | | | CLOSE: (2391) is inconsistent.
% 72.19/10.88 | | | | | | | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | | | | | | Case 2:
% 72.19/10.88 | | | | | | | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | | | | | | | (2392) all_64_2 = e1 | all_64_2 = e0
% 72.19/10.88 | | | | | | | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | | | | | | | BETA: splitting (2392) gives:
% 72.19/10.88 | | | | | | | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | | | | | | | Case 1:
% 72.19/10.88 | | | | | | | | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | | | | | | | | (2393) all_64_2 = e1
% 72.19/10.88 | | | | | | | | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (2393) imply:
% 72.19/10.88 | | | | | | | | | | | | | | | | | (2394) all_40_0 = e1
% 72.19/10.88 | | | | | | | | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | | | | | | | | REDUCE: (750), (2394) imply:
% 72.19/10.88 | | | | | | | | | | | | | | | | | (2395) ~ (all_12_0 = e1)
% 72.19/10.88 | | | | | | | | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | | | | | | | | SIMP: (2395) implies:
% 72.19/10.88 | | | | | | | | | | | | | | | | | (2396) ~ (all_12_0 = e1)
% 72.19/10.88 | | | | | | | | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | | | | | | | | BETA: splitting (275) gives:
% 72.19/10.88 | | | | | | | | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | | | | | | | | Case 1:
% 72.19/10.88 | | | | | | | | | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | | | | | | | | | (2397) all_64_6 = e3
% 72.19/10.88 | | | | | | | | | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (688), (2397) imply:
% 72.19/10.88 | | | | | | | | | | | | | | | | | | (2398) all_12_0 = e3
% 72.19/10.88 | | | | | | | | | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | | | | | | | | | REDUCE: (2198), (2398) imply:
% 72.19/10.88 | | | | | | | | | | | | | | | | | | (2399) $false
% 72.19/10.88 | | | | | | | | | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | | | | | | | | | CLOSE: (2399) is inconsistent.
% 72.19/10.88 | | | | | | | | | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | | | | | | | | Case 2:
% 72.19/10.88 | | | | | | | | | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | | | | | | | | | (2400) all_64_6 = e2 | all_64_6 = e1 | all_64_6 = e0
% 72.19/10.88 | | | | | | | | | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | | | | | | | | | BETA: splitting (2400) gives:
% 72.19/10.88 | | | | | | | | | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | | | | | | | | | Case 1:
% 72.19/10.88 | | | | | | | | | | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | | | | | | | | | | (2401) all_64_6 = e2
% 72.19/10.88 | | | | | | | | | | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (688), (2401) imply:
% 72.19/10.88 | | | | | | | | | | | | | | | | | | | (2402) all_12_0 = e2
% 72.19/10.88 | | | | | | | | | | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | | | | | | | | | | REDUCE: (2373), (2402) imply:
% 72.19/10.88 | | | | | | | | | | | | | | | | | | | (2403) $false
% 72.19/10.88 | | | | | | | | | | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | | | | | | | | | | CLOSE: (2403) is inconsistent.
% 72.19/10.88 | | | | | | | | | | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | | | | | | | | | Case 2:
% 72.19/10.88 | | | | | | | | | | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | | | | | | | | | | (2404) all_64_6 = e1 | all_64_6 = e0
% 72.19/10.88 | | | | | | | | | | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | | | | | | | | | | BETA: splitting (2404) gives:
% 72.19/10.88 | | | | | | | | | | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | | | | | | | | | | Case 1:
% 72.19/10.88 | | | | | | | | | | | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | | | | | | | | | | | (2405) all_64_6 = e1
% 72.19/10.88 | | | | | | | | | | | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (688), (2405) imply:
% 72.19/10.88 | | | | | | | | | | | | | | | | | | | | (2406) all_12_0 = e1
% 72.19/10.88 | | | | | | | | | | | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | | | | | | | | | | | REDUCE: (2396), (2406) imply:
% 72.19/10.88 | | | | | | | | | | | | | | | | | | | | (2407) $false
% 72.19/10.88 | | | | | | | | | | | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | | | | | | | | | | | CLOSE: (2407) is inconsistent.
% 72.19/10.88 | | | | | | | | | | | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | | | | | | | | | | Case 2:
% 72.19/10.88 | | | | | | | | | | | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | | | | | | | | | | | (2408) all_64_6 = e0
% 72.19/10.88 | | | | | | | | | | | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (688), (2408) imply:
% 72.19/10.88 | | | | | | | | | | | | | | | | | | | | (2409) all_12_0 = e0
% 72.19/10.88 | | | | | | | | | | | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (2409) imply:
% 72.19/10.88 | | | | | | | | | | | | | | | | | | | | (2410) ~ (all_6_0 = e0)
% 72.19/10.88 | | | | | | | | | | | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | | | | | | | | | | | SIMP: (2410) implies:
% 72.19/10.88 | | | | | | | | | | | | | | | | | | | | (2411) ~ (all_6_0 = e0)
% 72.19/10.88 | | | | | | | | | | | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (47), (163), (277), (559), (600), (686),
% 72.19/10.88 | | | | | | | | | | | | | | | | | | | | (689), (698), (700), (709), (903), (2168), (2172),
% 72.19/10.88 | | | | | | | | | | | | | | | | | | | | (2197), (2375), (2379), (2411) are inconsistent by
% 72.19/10.88 | | | | | | | | | | | | | | | | | | | | sub-proof #8.
% 72.19/10.88 | | | | | | | | | | | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | | | | | | | | | | End of split
% 72.19/10.88 | | | | | | | | | | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | | | | | | | | | End of split
% 72.19/10.88 | | | | | | | | | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | | | | | | | | End of split
% 72.19/10.88 | | | | | | | | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | | | | | | | Case 2:
% 72.19/10.88 | | | | | | | | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | | | | | | | | (2412) all_64_2 = e0
% 72.19/10.88 | | | | | | | | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (2412) imply:
% 72.19/10.88 | | | | | | | | | | | | | | | | | (2413) all_40_0 = e0
% 72.19/10.88 | | | | | | | | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | | | | | | | | REDUCE: (2352), (2413) imply:
% 72.19/10.88 | | | | | | | | | | | | | | | | | (2414) $false
% 72.19/10.88 | | | | | | | | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | | | | | | | | CLOSE: (2414) is inconsistent.
% 72.19/10.88 | | | | | | | | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | | | | | | | End of split
% 72.19/10.88 | | | | | | | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | | | | | | End of split
% 72.19/10.88 | | | | | | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | | | | | End of split
% 72.19/10.88 | | | | | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | | | | Case 2:
% 72.19/10.88 | | | | | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | | | | | (2415) all_64_3 = e2 | all_64_3 = e1 | all_64_3 = e0
% 72.19/10.88 | | | | | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | | | | | REF_CLOSE: (529), (2353), (2372), (2381), (2415) are
% 72.19/10.88 | | | | | | | | | | | | | | inconsistent by sub-proof #19.
% 72.19/10.88 | | | | | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | | | | End of split
% 72.19/10.88 | | | | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | | | Case 2:
% 72.19/10.88 | | | | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | | | | (2416) ~ (all_44_1 = e2)
% 72.19/10.88 | | | | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | | | | REDUCE: (2370), (2416) imply:
% 72.19/10.88 | | | | | | | | | | | | | (2417) $false
% 72.19/10.88 | | | | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | | | | CLOSE: (2417) is inconsistent.
% 72.19/10.88 | | | | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | | | End of split
% 72.19/10.88 | | | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | | End of split
% 72.19/10.88 | | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | Case 2:
% 72.19/10.88 | | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | | (2418) ~ (all_32_1 = e2)
% 72.19/10.88 | | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | | REDUCE: (2369), (2418) imply:
% 72.19/10.88 | | | | | | | | | | | (2419) $false
% 72.19/10.88 | | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | | CLOSE: (2419) is inconsistent.
% 72.19/10.88 | | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | End of split
% 72.19/10.88 | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | End of split
% 72.19/10.88 | | | | | | | | |
% 72.19/10.88 | | | | | | | | Case 2:
% 72.19/10.88 | | | | | | | | |
% 72.19/10.88 | | | | | | | | | (2420) (all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 &
% 72.19/10.88 | | | | | | | | | all_56_3 = e1) | (all_56_0 = e0 & all_56_1 = e0 &
% 72.19/10.88 | | | | | | | | | all_56_2 = e0 & all_56_3 = e0)
% 72.19/10.88 | | | | | | | | |
% 72.19/10.88 | | | | | | | | | BETA: splitting (2420) gives:
% 72.19/10.88 | | | | | | | | |
% 72.19/10.88 | | | | | | | | | Case 1:
% 72.19/10.88 | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | (2421) all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 &
% 72.19/10.88 | | | | | | | | | | all_56_3 = e1
% 72.19/10.88 | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | REF_CLOSE: (600), (2357), (2421) are inconsistent by
% 72.19/10.88 | | | | | | | | | | sub-proof #71.
% 72.19/10.88 | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | Case 2:
% 72.19/10.88 | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | (2422) all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 &
% 72.19/10.88 | | | | | | | | | | all_56_3 = e0
% 72.19/10.88 | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | | REF_CLOSE: (559), (2356), (2422) are inconsistent by
% 72.19/10.88 | | | | | | | | | | sub-proof #10.
% 72.19/10.88 | | | | | | | | | |
% 72.19/10.88 | | | | | | | | | End of split
% 72.19/10.88 | | | | | | | | |
% 72.19/10.88 | | | | | | | | End of split
% 72.19/10.88 | | | | | | | |
% 72.19/10.88 | | | | | | | End of split
% 72.19/10.88 | | | | | | |
% 72.19/10.88 | | | | | | Case 2:
% 72.19/10.88 | | | | | | |
% 72.19/10.88 | | | | | | | (2423) all_12_0 = e3
% 72.19/10.88 | | | | | | |
% 72.19/10.88 | | | | | | | REDUCE: (756), (2423) imply:
% 72.19/10.88 | | | | | | | (2424) ~ (all_42_0 = e3)
% 72.19/10.88 | | | | | | |
% 72.19/10.88 | | | | | | | REDUCE: (750), (2423) imply:
% 72.19/10.88 | | | | | | | (2425) ~ (all_40_0 = e3)
% 72.19/10.88 | | | | | | |
% 72.19/10.88 | | | | | | | REDUCE: (758), (2423) imply:
% 72.19/10.88 | | | | | | | (2426) ~ (all_22_0 = e3)
% 72.19/10.88 | | | | | | |
% 72.19/10.88 | | | | | | | REDUCE: (795), (2423) imply:
% 72.19/10.88 | | | | | | | (2427) op(e3, e3) = all_66_24
% 72.19/10.88 | | | | | | |
% 72.19/10.88 | | | | | | | REDUCE: (2194), (2423) imply:
% 72.19/10.88 | | | | | | | (2428) op(e3, e2) = all_6_0
% 72.19/10.88 | | | | | | |
% 72.19/10.88 | | | | | | | REDUCE: (798), (2423) imply:
% 72.19/10.88 | | | | | | | (2429) op(e3, e0) = all_66_27
% 72.19/10.88 | | | | | | |
% 72.19/10.88 | | | | | | | REDUCE: (841), (2423) imply:
% 72.19/10.88 | | | | | | | (2430) op(e3, e3) = all_66_6
% 72.19/10.88 | | | | | | |
% 72.19/10.88 | | | | | | | REDUCE: (2195), (2423) imply:
% 72.19/10.88 | | | | | | | (2431) op(e1, e3) = all_40_0
% 72.19/10.88 | | | | | | |
% 72.19/10.88 | | | | | | | REDUCE: (892), (2423) imply:
% 72.19/10.88 | | | | | | | (2432) op(e0, e3) = all_66_61
% 72.19/10.88 | | | | | | |
% 72.19/10.88 | | | | | | | GROUND_INST: instantiating (45) with all_28_0, all_66_61, e3, e0,
% 72.19/10.88 | | | | | | | simplifying with (95), (2432) gives:
% 72.19/10.88 | | | | | | | (2433) all_66_61 = all_28_0
% 72.19/10.88 | | | | | | |
% 72.19/10.88 | | | | | | | GROUND_INST: instantiating (45) with all_4_0, all_40_0, e3, e1,
% 72.19/10.88 | | | | | | | simplifying with (47), (2431) gives:
% 72.19/10.88 | | | | | | | (2434) all_40_0 = all_4_0
% 72.19/10.88 | | | | | | |
% 72.19/10.88 | | | | | | | GROUND_INST: instantiating (45) with all_36_0, all_66_27, e0, e3,
% 72.19/10.88 | | | | | | | simplifying with (112), (2429) gives:
% 72.19/10.88 | | | | | | | (2435) all_66_27 = all_36_0
% 72.19/10.88 | | | | | | |
% 72.19/10.88 | | | | | | | GROUND_INST: instantiating (45) with all_14_0, all_6_0, e2, e3,
% 72.19/10.88 | | | | | | | simplifying with (68), (2428) gives:
% 72.19/10.88 | | | | | | | (2436) all_14_0 = all_6_0
% 72.19/10.88 | | | | | | |
% 72.19/10.88 | | | | | | | GROUND_INST: instantiating (45) with all_4_1, all_66_6, e3, e3,
% 72.19/10.88 | | | | | | | simplifying with (48), (2430) gives:
% 72.19/10.88 | | | | | | | (2437) all_66_6 = all_4_1
% 72.19/10.88 | | | | | | |
% 72.19/10.88 | | | | | | | GROUND_INST: instantiating (45) with all_66_24, all_66_6, e3, e3,
% 72.19/10.88 | | | | | | | simplifying with (2427), (2430) gives:
% 72.19/10.88 | | | | | | | (2438) all_66_6 = all_66_24
% 72.19/10.88 | | | | | | |
% 72.19/10.88 | | | | | | | COMBINE_EQS: (2437), (2438) imply:
% 72.19/10.88 | | | | | | | (2439) all_66_24 = all_4_1
% 72.19/10.88 | | | | | | |
% 72.19/10.88 | | | | | | | COMBINE_EQS: (494), (2434) imply:
% 72.19/10.88 | | | | | | | (2440) all_64_2 = all_4_0
% 72.19/10.88 | | | | | | |
% 72.19/10.88 | | | | | | | COMBINE_EQS: (525), (2436) imply:
% 72.19/10.88 | | | | | | | (2441) all_64_1 = all_6_0
% 72.19/10.88 | | | | | | |
% 72.19/10.88 | | | | | | | REDUCE: (753), (2434) imply:
% 72.19/10.88 | | | | | | | (2442) ~ (all_36_0 = all_4_0)
% 72.19/10.88 | | | | | | |
% 72.19/10.88 | | | | | | | SIMP: (2442) implies:
% 72.19/10.88 | | | | | | | (2443) ~ (all_36_0 = all_4_0)
% 72.19/10.88 | | | | | | |
% 72.19/10.88 | | | | | | | REDUCE: (735), (2434), (2436) imply:
% 72.19/10.88 | | | | | | | (2444) ~ (all_6_0 = all_4_0)
% 72.19/10.88 | | | | | | |
% 72.19/10.88 | | | | | | | REDUCE: (733), (2436) imply:
% 72.19/10.88 | | | | | | | (2445) ~ (all_20_0 = all_6_0)
% 72.19/10.88 | | | | | | |
% 72.19/10.88 | | | | | | | REDUCE: (2170), (2436) imply:
% 72.19/10.88 | | | | | | | (2446) ~ (all_6_0 = e3)
% 72.19/10.88 | | | | | | |
% 72.19/10.88 | | | | | | | REDUCE: (779), (2434) imply:
% 72.19/10.88 | | | | | | | (2447) op(all_4_0, e3) = all_66_8
% 72.19/10.88 | | | | | | |
% 72.19/10.88 | | | | | | | REDUCE: (2193), (2434) imply:
% 72.19/10.88 | | | | | | | (2448) op(all_4_0, e2) = all_4_1
% 72.19/10.88 | | | | | | |
% 72.19/10.88 | | | | | | | REDUCE: (782), (2434) imply:
% 72.19/10.88 | | | | | | | (2449) op(all_4_0, e0) = all_66_11
% 72.19/10.88 | | | | | | |
% 72.19/10.88 | | | | | | | REDUCE: (825), (2433) imply:
% 72.19/10.88 | | | | | | | (2450) op(all_20_0, e1) = all_28_0
% 72.19/10.88 | | | | | | |
% 72.19/10.88 | | | | | | | REDUCE: (775), (2436) imply:
% 72.19/10.88 | | | | | | | (2451) op(all_6_0, e3) = all_66_4
% 72.19/10.88 | | | | | | |
% 72.19/10.88 | | | | | | | REDUCE: (776), (2436) imply:
% 72.19/10.88 | | | | | | | (2452) op(all_6_0, e2) = all_66_5
% 72.19/10.88 | | | | | | |
% 72.19/10.88 | | | | | | | REDUCE: (777), (2436), (2437) imply:
% 72.19/10.88 | | | | | | | (2453) op(all_6_0, e1) = all_4_1
% 72.19/10.88 | | | | | | |
% 72.19/10.88 | | | | | | | REDUCE: (778), (2436) imply:
% 72.19/10.88 | | | | | | | (2454) op(all_6_0, e0) = all_66_7
% 72.19/10.88 | | | | | | |
% 72.19/10.88 | | | | | | | REDUCE: (837), (2434) imply:
% 72.19/10.88 | | | | | | | (2455) op(e3, all_4_0) = all_66_2
% 72.19/10.88 | | | | | | |
% 72.19/10.88 | | | | | | | REDUCE: (120), (2434) imply:
% 72.19/10.88 | | | | | | | (2456) op(e3, e1) = all_4_0
% 72.19/10.88 | | | | | | |
% 72.19/10.88 | | | | | | | REDUCE: (854), (2434) imply:
% 72.19/10.88 | | | | | | | (2457) op(e2, all_4_0) = all_66_18
% 72.19/10.88 | | | | | | |
% 72.19/10.88 | | | | | | | REDUCE: (853), (2436) imply:
% 72.19/10.88 | | | | | | | (2458) op(e2, all_6_0) = all_66_17
% 72.19/10.88 | | | | | | |
% 72.19/10.88 | | | | | | | REDUCE: (863), (2435) imply:
% 72.19/10.88 | | | | | | | (2459) op(e2, all_8_0) = all_36_0
% 72.19/10.88 | | | | | | |
% 72.19/10.88 | | | | | | | REDUCE: (871), (2434) imply:
% 72.19/10.88 | | | | | | | (2460) op(e1, all_4_0) = all_66_34
% 72.19/10.88 | | | | | | |
% 72.19/10.88 | | | | | | | REDUCE: (870), (2436) imply:
% 72.19/10.88 | | | | | | | (2461) op(e1, all_6_0) = all_66_33
% 72.19/10.89 | | | | | | |
% 72.19/10.89 | | | | | | | REDUCE: (2196), (2436) imply:
% 72.19/10.89 | | | | | | | (2462) op(e1, all_10_1) = all_6_0
% 72.19/10.89 | | | | | | |
% 72.19/10.89 | | | | | | | REDUCE: (888), (2434) imply:
% 72.19/10.89 | | | | | | | (2463) op(e0, all_4_0) = all_66_53
% 72.19/10.89 | | | | | | |
% 72.19/10.89 | | | | | | | REDUCE: (887), (2436) imply:
% 72.19/10.89 | | | | | | | (2464) op(e0, all_6_0) = all_66_51
% 72.19/10.89 | | | | | | |
% 72.19/10.89 | | | | | | | GROUND_INST: instantiating (45) with all_66_65, all_66_53,
% 72.19/10.89 | | | | | | | all_4_0, e0, simplifying with (894), (2463) gives:
% 72.19/10.89 | | | | | | | (2465) all_66_53 = all_66_65
% 72.19/10.89 | | | | | | |
% 72.19/10.89 | | | | | | | GROUND_INST: instantiating (45) with all_66_57, all_66_51,
% 72.19/10.89 | | | | | | | all_6_0, e0, simplifying with (890), (2464) gives:
% 72.19/10.89 | | | | | | | (2466) all_66_51 = all_66_57
% 72.19/10.89 | | | | | | |
% 72.19/10.89 | | | | | | | GROUND_INST: instantiating (45) with all_66_40, all_66_34,
% 72.19/10.89 | | | | | | | all_4_0, e1, simplifying with (877), (2460) gives:
% 72.19/10.89 | | | | | | | (2467) all_66_34 = all_66_40
% 72.19/10.89 | | | | | | |
% 72.19/10.89 | | | | | | | GROUND_INST: instantiating (45) with all_66_20, all_66_17,
% 72.19/10.89 | | | | | | | all_6_0, e2, simplifying with (856), (2458) gives:
% 72.19/10.89 | | | | | | | (2468) all_66_17 = all_66_20
% 72.19/10.89 | | | | | | |
% 72.19/10.89 | | | | | | | GROUND_INST: instantiating (45) with all_66_8, all_66_2, all_4_0,
% 72.19/10.89 | | | | | | | e3, simplifying with (843), (2455) gives:
% 72.19/10.89 | | | | | | | (2469) all_66_2 = all_66_8
% 72.19/10.89 | | | | | | |
% 72.19/10.89 | | | | | | | GROUND_INST: instantiating (45) with all_66_35, all_66_11, e0,
% 72.19/10.89 | | | | | | | all_4_0, simplifying with (806), (2449) gives:
% 72.19/10.89 | | | | | | | (2470) all_66_11 = all_66_35
% 72.19/10.89 | | | | | | |
% 72.19/10.89 | | | | | | | GROUND_INST: instantiating (45) with all_66_33, all_4_1, e2,
% 72.19/10.89 | | | | | | | all_4_0, simplifying with (804), (2448) gives:
% 72.19/10.89 | | | | | | | (2471) all_66_33 = all_4_1
% 72.19/10.89 | | | | | | |
% 72.19/10.89 | | | | | | | GROUND_INST: instantiating (45) with all_66_32, all_66_8, e3,
% 72.19/10.89 | | | | | | | all_4_0, simplifying with (803), (2447) gives:
% 72.19/10.89 | | | | | | | (2472) all_66_8 = all_66_32
% 72.19/10.89 | | | | | | |
% 72.19/10.89 | | | | | | | GROUND_INST: instantiating (45) with all_66_19, all_66_7, e0,
% 72.19/10.89 | | | | | | | all_6_0, simplifying with (790), (2454) gives:
% 72.19/10.89 | | | | | | | (2473) all_66_7 = all_66_19
% 72.19/10.89 | | | | | | |
% 72.19/10.89 | | | | | | | GROUND_INST: instantiating (45) with all_66_18, all_4_1, e1,
% 72.19/10.89 | | | | | | | all_6_0, simplifying with (789), (2453) gives:
% 72.19/10.89 | | | | | | | (2474) all_66_18 = all_4_1
% 72.19/10.89 | | | | | | |
% 72.19/10.89 | | | | | | | GROUND_INST: instantiating (45) with all_66_17, all_66_5, e2,
% 72.19/10.89 | | | | | | | all_6_0, simplifying with (788), (2452) gives:
% 72.19/10.89 | | | | | | | (2475) all_66_5 = all_66_17
% 72.19/10.89 | | | | | | |
% 72.19/10.89 | | | | | | | GROUND_INST: instantiating (45) with all_66_16, all_66_4, e3,
% 72.19/10.89 | | | | | | | all_6_0, simplifying with (787), (2451) gives:
% 72.19/10.89 | | | | | | | (2476) all_66_4 = all_66_16
% 72.19/10.89 | | | | | | |
% 72.19/10.89 | | | | | | | COMBINE_EQS: (2468), (2475) imply:
% 72.19/10.89 | | | | | | | (2477) all_66_5 = all_66_20
% 72.19/10.89 | | | | | | |
% 72.19/10.89 | | | | | | | COMBINE_EQS: (2469), (2472) imply:
% 72.19/10.89 | | | | | | | (2478) all_66_2 = all_66_32
% 72.19/10.89 | | | | | | |
% 72.19/10.89 | | | | | | | REDUCE: (820), (2466) imply:
% 72.19/10.89 | | | | | | | (2479) op(all_28_0, e2) = all_66_57
% 72.19/10.89 | | | | | | |
% 72.19/10.89 | | | | | | | REDUCE: (805), (2467) imply:
% 72.19/10.89 | | | | | | | (2480) op(all_4_0, e1) = all_66_40
% 72.19/10.89 | | | | | | |
% 72.19/10.89 | | | | | | | REDUCE: (773), (2478) imply:
% 72.19/10.89 | | | | | | | (2481) op(all_4_1, e1) = all_66_32
% 72.19/10.89 | | | | | | |
% 72.19/10.89 | | | | | | | REDUCE: (840), (2477) imply:
% 72.19/10.89 | | | | | | | (2482) op(e3, all_10_1) = all_66_20
% 72.19/10.89 | | | | | | |
% 72.19/10.89 | | | | | | | REDUCE: (846), (2470) imply:
% 72.19/10.89 | | | | | | | (2483) op(e3, all_8_0) = all_66_35
% 72.19/10.89 | | | | | | |
% 72.19/10.89 | | | | | | | REDUCE: (2457), (2474) imply:
% 72.19/10.89 | | | | | | | (2484) op(e2, all_4_0) = all_4_1
% 72.19/10.89 | | | | | | |
% 72.19/10.89 | | | | | | | BETA: splitting (69) gives:
% 72.19/10.89 | | | | | | |
% 72.19/10.89 | | | | | | | Case 1:
% 72.19/10.89 | | | | | | | |
% 72.19/10.89 | | | | | | | | (2485) ~ (all_14_0 = e0)
% 72.19/10.89 | | | | | | | |
% 72.19/10.89 | | | | | | | | REDUCE: (2436), (2485) imply:
% 72.19/10.89 | | | | | | | | (2486) ~ (all_6_0 = e0)
% 72.19/10.89 | | | | | | | |
% 72.19/10.89 | | | | | | | | BETA: splitting (277) gives:
% 72.19/10.89 | | | | | | | |
% 72.19/10.89 | | | | | | | | Case 1:
% 72.19/10.89 | | | | | | | | |
% 72.19/10.89 | | | | | | | | | (2487) all_64_4 = e3
% 72.19/10.89 | | | | | | | | |
% 72.19/10.89 | | | | | | | | | COMBINE_EQS: (689), (2487) imply:
% 72.19/10.89 | | | | | | | | | (2488) all_6_0 = e3
% 72.19/10.89 | | | | | | | | |
% 72.19/10.89 | | | | | | | | | REDUCE: (2446), (2488) imply:
% 72.19/10.89 | | | | | | | | | (2489) $false
% 72.19/10.89 | | | | | | | | |
% 72.19/10.89 | | | | | | | | | CLOSE: (2489) is inconsistent.
% 72.19/10.89 | | | | | | | | |
% 72.19/10.89 | | | | | | | | Case 2:
% 72.19/10.89 | | | | | | | | |
% 72.19/10.89 | | | | | | | | | (2490) ~ (all_64_4 = e3)
% 72.19/10.89 | | | | | | | | | (2491) all_64_4 = e2 | all_64_4 = e1 | all_64_4 = e0
% 72.19/10.89 | | | | | | | | |
% 72.19/10.89 | | | | | | | | | BETA: splitting (280) gives:
% 72.19/10.89 | | | | | | | | |
% 72.19/10.89 | | | | | | | | | Case 1:
% 72.19/10.89 | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | (2492) all_64_1 = e3
% 72.19/10.89 | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | COMBINE_EQS: (2441), (2492) imply:
% 72.19/10.89 | | | | | | | | | | (2493) all_6_0 = e3
% 72.19/10.89 | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | REDUCE: (2446), (2493) imply:
% 72.19/10.89 | | | | | | | | | | (2494) $false
% 72.19/10.89 | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | CLOSE: (2494) is inconsistent.
% 72.19/10.89 | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | Case 2:
% 72.19/10.89 | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | (2495) all_64_1 = e2 | all_64_1 = e1 | all_64_1 = e0
% 72.19/10.89 | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | BETA: splitting (2495) gives:
% 72.19/10.89 | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | Case 1:
% 72.19/10.89 | | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | | (2496) all_64_1 = e2
% 72.19/10.89 | | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | | COMBINE_EQS: (2441), (2496) imply:
% 72.19/10.89 | | | | | | | | | | | (2497) all_6_0 = e2
% 72.19/10.89 | | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | | REDUCE: (711), (2497) imply:
% 72.19/10.89 | | | | | | | | | | | (2498) ~ (all_28_0 = e2)
% 72.19/10.89 | | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | | REDUCE: (717), (2497) imply:
% 72.19/10.89 | | | | | | | | | | | (2499) ~ (all_22_0 = e2)
% 72.19/10.89 | | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | | REDUCE: (2445), (2497) imply:
% 72.19/10.89 | | | | | | | | | | | (2500) ~ (all_20_0 = e2)
% 72.19/10.89 | | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | | REDUCE: (713), (2497) imply:
% 72.19/10.89 | | | | | | | | | | | (2501) ~ (all_10_1 = e2)
% 72.19/10.89 | | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | | REDUCE: (709), (2497) imply:
% 72.19/10.89 | | | | | | | | | | | (2502) ~ (all_4_0 = e2)
% 72.19/10.89 | | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | | REDUCE: (787), (2497) imply:
% 72.19/10.89 | | | | | | | | | | | (2503) op(e2, e3) = all_66_16
% 72.19/10.89 | | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | | REDUCE: (790), (2497) imply:
% 72.19/10.89 | | | | | | | | | | | (2504) op(e2, e0) = all_66_19
% 72.19/10.89 | | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | | REDUCE: (856), (2497) imply:
% 72.19/10.89 | | | | | | | | | | | (2505) op(e2, e2) = all_66_20
% 72.19/10.89 | | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | | REDUCE: (2462), (2497) imply:
% 72.19/10.89 | | | | | | | | | | | (2506) op(e1, all_10_1) = e2
% 72.19/10.89 | | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | | BETA: splitting (276) gives:
% 72.19/10.89 | | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | | Case 1:
% 72.19/10.89 | | | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | | | (2507) all_64_5 = e3
% 72.19/10.89 | | | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | | | COMBINE_EQS: (481), (2507) imply:
% 72.19/10.89 | | | | | | | | | | | | (2508) all_10_1 = e3
% 72.19/10.89 | | | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | | | SIMP: (2508) implies:
% 72.19/10.89 | | | | | | | | | | | | (2509) all_10_1 = e3
% 72.19/10.89 | | | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | | | REDUCE: (2172), (2509) imply:
% 72.19/10.89 | | | | | | | | | | | | (2510) $false
% 72.19/10.89 | | | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | | | CLOSE: (2510) is inconsistent.
% 72.19/10.89 | | | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | | Case 2:
% 72.19/10.89 | | | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | | | (2511) ~ (all_64_5 = e3)
% 72.19/10.89 | | | | | | | | | | | | (2512) all_64_5 = e2 | all_64_5 = e1 | all_64_5 = e0
% 72.19/10.89 | | | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | | | BETA: splitting (2512) gives:
% 72.19/10.89 | | | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | | | Case 1:
% 72.19/10.89 | | | | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | | | | (2513) all_64_5 = e2
% 72.19/10.89 | | | | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | | | | COMBINE_EQS: (481), (2513) imply:
% 72.19/10.89 | | | | | | | | | | | | | (2514) all_10_1 = e2
% 72.19/10.89 | | | | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | | | | SIMP: (2514) implies:
% 72.19/10.89 | | | | | | | | | | | | | (2515) all_10_1 = e2
% 72.19/10.89 | | | | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | | | | REDUCE: (2501), (2515) imply:
% 72.19/10.89 | | | | | | | | | | | | | (2516) $false
% 72.19/10.89 | | | | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | | | | CLOSE: (2516) is inconsistent.
% 72.19/10.89 | | | | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | | | Case 2:
% 72.19/10.89 | | | | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | | | | (2517) ~ (all_64_5 = e2)
% 72.19/10.89 | | | | | | | | | | | | | (2518) all_64_5 = e1 | all_64_5 = e0
% 72.19/10.89 | | | | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | | | | BETA: splitting (2518) gives:
% 72.19/10.89 | | | | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | | | | Case 1:
% 72.19/10.89 | | | | | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | | | | | (2519) all_64_5 = e1
% 72.19/10.89 | | | | | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | | | | | COMBINE_EQS: (481), (2519) imply:
% 72.19/10.89 | | | | | | | | | | | | | | (2520) all_10_1 = e1
% 72.19/10.89 | | | | | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | | | | | SIMP: (2520) implies:
% 72.19/10.89 | | | | | | | | | | | | | | (2521) all_10_1 = e1
% 72.19/10.89 | | | | | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | | | | | COMBINE_EQS: (600), (2521) imply:
% 72.19/10.89 | | | | | | | | | | | | | | (2522) all_56_1 = e1
% 72.19/10.89 | | | | | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | | | | | REDUCE: (2172), (2521) imply:
% 72.19/10.89 | | | | | | | | | | | | | | (2523) ~ (e3 = e1)
% 72.19/10.89 | | | | | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | | | | | REDUCE: (2501), (2521) imply:
% 72.19/10.89 | | | | | | | | | | | | | | (2524) ~ (e2 = e1)
% 72.19/10.89 | | | | | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | | | | | REDUCE: (2168), (2521) imply:
% 72.19/10.89 | | | | | | | | | | | | | | (2525) ~ (e1 = e0)
% 72.19/10.89 | | | | | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | | | | | REDUCE: (2482), (2521) imply:
% 72.19/10.89 | | | | | | | | | | | | | | (2526) op(e3, e1) = all_66_20
% 72.19/10.89 | | | | | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | | | | | REDUCE: (2506), (2521) imply:
% 72.19/10.89 | | | | | | | | | | | | | | (2527) op(e1, e1) = e2
% 72.19/10.89 | | | | | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | | | | | REDUCE: (891), (2521) imply:
% 72.19/10.89 | | | | | | | | | | | | | | (2528) op(e0, e1) = all_66_59
% 72.19/10.89 | | | | | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | | | | | BETA: splitting (274) gives:
% 72.19/10.89 | | | | | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | | | | | Case 1:
% 72.19/10.89 | | | | | | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | | | | | | (2529) all_64_7 = e3
% 72.19/10.89 | | | | | | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | | | | | | REF_CLOSE: (687), (2426), (2529) are inconsistent by
% 72.19/10.89 | | | | | | | | | | | | | | | sub-proof #94.
% 72.19/10.89 | | | | | | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | | | | | Case 2:
% 72.19/10.89 | | | | | | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | | | | | | (2530) all_64_7 = e2 | all_64_7 = e1 | all_64_7 = e0
% 72.19/10.89 | | | | | | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | | | | | | BETA: splitting (2530) gives:
% 72.19/10.89 | | | | | | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | | | | | | Case 1:
% 72.19/10.89 | | | | | | | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | | | | | | | (2531) all_64_7 = e2
% 72.19/10.89 | | | | | | | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | | | | | | | REF_CLOSE: (687), (2499), (2531) are inconsistent by
% 72.19/10.89 | | | | | | | | | | | | | | | | sub-proof #93.
% 72.19/10.89 | | | | | | | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | | | | | | Case 2:
% 72.19/10.89 | | | | | | | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | | | | | | | (2532) all_64_7 = e1 | all_64_7 = e0
% 72.19/10.89 | | | | | | | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 72.19/10.89 | | | | | | | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | | | | | | | Case 1:
% 72.19/10.89 | | | | | | | | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | | | | | | | | (2533) (all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 &
% 72.19/10.89 | | | | | | | | | | | | | | | | | all_56_3 = e3) | (all_56_0 = e2 & all_56_1 = e2
% 72.19/10.89 | | | | | | | | | | | | | | | | | & all_56_2 = e2 & all_56_3 = e2)
% 72.19/10.89 | | | | | | | | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | | | | | | | | BETA: splitting (2533) gives:
% 72.19/10.89 | | | | | | | | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | | | | | | | | Case 1:
% 72.19/10.89 | | | | | | | | | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | | | | | | | | | (2534) all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 &
% 72.19/10.89 | | | | | | | | | | | | | | | | | | all_56_3 = e3
% 72.19/10.89 | | | | | | | | | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | | | | | | | | | ALPHA: (2534) implies:
% 72.19/10.89 | | | | | | | | | | | | | | | | | | (2535) all_56_1 = e3
% 72.19/10.89 | | | | | | | | | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2522), (2535) imply:
% 72.19/10.89 | | | | | | | | | | | | | | | | | | (2536) e3 = e1
% 72.19/10.89 | | | | | | | | | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | | | | | | | | | REDUCE: (17), (2536) imply:
% 72.19/10.89 | | | | | | | | | | | | | | | | | | (2537) $false
% 72.19/10.89 | | | | | | | | | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | | | | | | | | | CLOSE: (2537) is inconsistent.
% 72.19/10.89 | | | | | | | | | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | | | | | | | | Case 2:
% 72.19/10.89 | | | | | | | | | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | | | | | | | | | (2538) all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 &
% 72.19/10.89 | | | | | | | | | | | | | | | | | | all_56_3 = e2
% 72.19/10.89 | | | | | | | | | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | | | | | | | | | ALPHA: (2538) implies:
% 72.19/10.89 | | | | | | | | | | | | | | | | | | (2539) all_56_1 = e2
% 72.19/10.89 | | | | | | | | | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2522), (2539) imply:
% 72.19/10.89 | | | | | | | | | | | | | | | | | | (2540) e2 = e1
% 72.19/10.89 | | | | | | | | | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | | | | | | | | | REDUCE: (15), (2540) imply:
% 72.19/10.89 | | | | | | | | | | | | | | | | | | (2541) $false
% 72.19/10.89 | | | | | | | | | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | | | | | | | | | CLOSE: (2541) is inconsistent.
% 72.19/10.89 | | | | | | | | | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | | | | | | | | End of split
% 72.19/10.89 | | | | | | | | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | | | | | | | Case 2:
% 72.19/10.89 | | | | | | | | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | | | | | | | | (2542) (all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 &
% 72.19/10.89 | | | | | | | | | | | | | | | | | all_56_3 = e1) | (all_56_0 = e0 & all_56_1 = e0
% 72.19/10.89 | | | | | | | | | | | | | | | | | & all_56_2 = e0 & all_56_3 = e0)
% 72.19/10.89 | | | | | | | | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | | | | | | | | BETA: splitting (2542) gives:
% 72.19/10.89 | | | | | | | | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | | | | | | | | Case 1:
% 72.19/10.89 | | | | | | | | | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | | | | | | | | | (2543) all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 &
% 72.19/10.89 | | | | | | | | | | | | | | | | | | all_56_3 = e1
% 72.19/10.89 | | | | | | | | | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | | | | | | | | | ALPHA: (2543) implies:
% 72.19/10.89 | | | | | | | | | | | | | | | | | | (2544) all_56_3 = e1
% 72.19/10.89 | | | | | | | | | | | | | | | | | | (2545) all_56_2 = e1
% 72.19/10.89 | | | | | | | | | | | | | | | | | | (2546) all_56_0 = e1
% 72.19/10.89 | | | | | | | | | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (559), (2546) imply:
% 72.19/10.89 | | | | | | | | | | | | | | | | | | (2547) all_4_1 = e1
% 72.19/10.89 | | | | | | | | | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | | | | | | | | | SIMP: (2547) implies:
% 72.19/10.89 | | | | | | | | | | | | | | | | | | (2548) all_4_1 = e1
% 72.19/10.89 | | | | | | | | | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (680), (2545) imply:
% 72.19/10.89 | | | | | | | | | | | | | | | | | | (2549) all_12_1 = e1
% 72.19/10.89 | | | | | | | | | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | | | | | | | | | SIMP: (2549) implies:
% 72.19/10.89 | | | | | | | | | | | | | | | | | | (2550) all_12_1 = e1
% 72.19/10.89 | | | | | | | | | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (679), (2544) imply:
% 72.19/10.89 | | | | | | | | | | | | | | | | | | (2551) all_8_1 = e1
% 72.19/10.89 | | | | | | | | | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | | | | | | | | | SIMP: (2551) implies:
% 72.19/10.89 | | | | | | | | | | | | | | | | | | (2552) all_8_1 = e1
% 72.19/10.89 | | | | | | | | | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | | | | | | | | | REDUCE: (759), (2552) imply:
% 72.19/10.89 | | | | | | | | | | | | | | | | | | (2553) ~ (all_42_0 = e1)
% 72.19/10.89 | | | | | | | | | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | | | | | | | | | REDUCE: (708), (2548) imply:
% 72.19/10.89 | | | | | | | | | | | | | | | | | | (2554) ~ (all_36_0 = e1)
% 72.19/10.89 | | | | | | | | | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | | | | | | | | | REDUCE: (702), (2548) imply:
% 72.19/10.89 | | | | | | | | | | | | | | | | | | (2555) ~ (all_28_0 = e1)
% 72.19/10.89 | | | | | | | | | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | | | | | | | | | REDUCE: (763), (2552) imply:
% 72.19/10.89 | | | | | | | | | | | | | | | | | | (2556) ~ (all_22_0 = e1)
% 72.19/10.89 | | | | | | | | | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | | | | | | | | | REDUCE: (749), (2552) imply:
% 72.19/10.89 | | | | | | | | | | | | | | | | | | (2557) ~ (all_20_0 = e1)
% 72.19/10.89 | | | | | | | | | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | | | | | | | | | REDUCE: (764), (2552) imply:
% 72.19/10.89 | | | | | | | | | | | | | | | | | | (2558) ~ (all_8_0 = e1)
% 72.19/10.89 | | | | | | | | | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | | | | | | | | | REDUCE: (700), (2548) imply:
% 72.19/10.89 | | | | | | | | | | | | | | | | | | (2559) ~ (all_4_0 = e1)
% 72.19/10.89 | | | | | | | | | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | | | | | | | | | REDUCE: (833), (2552) imply:
% 72.19/10.89 | | | | | | | | | | | | | | | | | | (2560) op(e1, e1) = all_66_77
% 72.19/10.89 | | | | | | | | | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | | | | | | | | | REDUCE: (774), (2548) imply:
% 72.19/10.89 | | | | | | | | | | | | | | | | | | (2561) op(e1, e0) = all_66_3
% 72.19/10.89 | | | | | | | | | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | | | | | | | | | REDUCE: (2484), (2548) imply:
% 72.19/10.89 | | | | | | | | | | | | | | | | | | (2562) op(e2, all_4_0) = e1
% 72.19/10.89 | | | | | | | | | | | | | | | | | |
% 72.19/10.89 | | | | | | | | | | | | | | | | | | REDUCE: (896), (2550) imply:
% 72.19/10.90 | | | | | | | | | | | | | | | | | | (2563) op(e0, e1) = all_66_69
% 72.19/10.90 | | | | | | | | | | | | | | | | | |
% 72.19/10.90 | | | | | | | | | | | | | | | | | | REDUCE: (901), (2552) imply:
% 72.19/10.90 | | | | | | | | | | | | | | | | | | (2564) op(e0, e1) = all_66_78
% 72.19/10.90 | | | | | | | | | | | | | | | | | |
% 72.19/10.90 | | | | | | | | | | | | | | | | | | BETA: splitting (269) gives:
% 72.19/10.90 | | | | | | | | | | | | | | | | | |
% 72.19/10.90 | | | | | | | | | | | | | | | | | | Case 1:
% 72.19/10.90 | | | | | | | | | | | | | | | | | | |
% 72.19/10.90 | | | | | | | | | | | | | | | | | | | (2565) all_64_13 = e3
% 72.19/10.90 | | | | | | | | | | | | | | | | | | |
% 72.19/10.90 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (550), (2565) imply:
% 72.19/10.90 | | | | | | | | | | | | | | | | | | | (2566) all_20_0 = e3
% 72.19/10.90 | | | | | | | | | | | | | | | | | | |
% 72.19/10.90 | | | | | | | | | | | | | | | | | | | REDUCE: (2169), (2566) imply:
% 72.19/10.90 | | | | | | | | | | | | | | | | | | | (2567) $false
% 72.19/10.90 | | | | | | | | | | | | | | | | | | |
% 72.19/10.90 | | | | | | | | | | | | | | | | | | | CLOSE: (2567) is inconsistent.
% 72.19/10.90 | | | | | | | | | | | | | | | | | | |
% 72.19/10.90 | | | | | | | | | | | | | | | | | | Case 2:
% 72.19/10.90 | | | | | | | | | | | | | | | | | | |
% 72.19/10.90 | | | | | | | | | | | | | | | | | | | (2568) all_64_13 = e2 | all_64_13 = e1 | all_64_13 = e0
% 72.19/10.90 | | | | | | | | | | | | | | | | | | |
% 72.19/10.90 | | | | | | | | | | | | | | | | | | | BETA: splitting (2568) gives:
% 72.19/10.90 | | | | | | | | | | | | | | | | | | |
% 72.19/10.90 | | | | | | | | | | | | | | | | | | | Case 1:
% 72.19/10.90 | | | | | | | | | | | | | | | | | | | |
% 72.19/10.90 | | | | | | | | | | | | | | | | | | | | (2569) all_64_13 = e2
% 72.19/10.90 | | | | | | | | | | | | | | | | | | | |
% 72.19/10.90 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (550), (2569) imply:
% 72.19/10.90 | | | | | | | | | | | | | | | | | | | | (2570) all_20_0 = e2
% 72.19/10.90 | | | | | | | | | | | | | | | | | | | |
% 72.19/10.90 | | | | | | | | | | | | | | | | | | | | REDUCE: (2500), (2570) imply:
% 72.19/10.90 | | | | | | | | | | | | | | | | | | | | (2571) $false
% 72.19/10.90 | | | | | | | | | | | | | | | | | | | |
% 72.19/10.90 | | | | | | | | | | | | | | | | | | | | CLOSE: (2571) is inconsistent.
% 72.19/10.90 | | | | | | | | | | | | | | | | | | | |
% 72.19/10.90 | | | | | | | | | | | | | | | | | | | Case 2:
% 72.19/10.90 | | | | | | | | | | | | | | | | | | | |
% 72.19/10.90 | | | | | | | | | | | | | | | | | | | | (2572) all_64_13 = e1 | all_64_13 = e0
% 72.19/10.90 | | | | | | | | | | | | | | | | | | | |
% 72.19/10.90 | | | | | | | | | | | | | | | | | | | | BETA: splitting (279) gives:
% 72.19/10.90 | | | | | | | | | | | | | | | | | | | |
% 72.19/10.90 | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.19/10.90 | | | | | | | | | | | | | | | | | | | | |
% 72.19/10.90 | | | | | | | | | | | | | | | | | | | | | (2573) all_64_2 = e3
% 72.19/10.90 | | | | | | | | | | | | | | | | | | | | |
% 72.19/10.90 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2440), (2573) imply:
% 72.19/10.90 | | | | | | | | | | | | | | | | | | | | | (2574) all_4_0 = e3
% 72.19/10.90 | | | | | | | | | | | | | | | | | | | | |
% 72.19/10.90 | | | | | | | | | | | | | | | | | | | | | REDUCE: (2175), (2574) imply:
% 72.19/10.90 | | | | | | | | | | | | | | | | | | | | | (2575) $false
% 72.19/10.90 | | | | | | | | | | | | | | | | | | | | |
% 72.19/10.90 | | | | | | | | | | | | | | | | | | | | | CLOSE: (2575) is inconsistent.
% 72.19/10.90 | | | | | | | | | | | | | | | | | | | | |
% 72.19/10.90 | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.19/10.90 | | | | | | | | | | | | | | | | | | | | |
% 72.19/10.90 | | | | | | | | | | | | | | | | | | | | | (2576) all_64_2 = e2 | all_64_2 = e1 | all_64_2 = e0
% 72.19/10.90 | | | | | | | | | | | | | | | | | | | | |
% 72.19/10.90 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2576) gives:
% 72.19/10.90 | | | | | | | | | | | | | | | | | | | | |
% 72.19/10.90 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.19/10.90 | | | | | | | | | | | | | | | | | | | | | |
% 72.19/10.90 | | | | | | | | | | | | | | | | | | | | | | (2577) all_64_2 = e2
% 72.19/10.90 | | | | | | | | | | | | | | | | | | | | | |
% 72.19/10.90 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2440), (2577) imply:
% 72.19/10.90 | | | | | | | | | | | | | | | | | | | | | | (2578) all_4_0 = e2
% 72.19/10.90 | | | | | | | | | | | | | | | | | | | | | |
% 72.19/10.90 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (903), (2578) imply:
% 72.19/10.90 | | | | | | | | | | | | | | | | | | | | | | (2579) $false
% 72.19/10.90 | | | | | | | | | | | | | | | | | | | | | |
% 72.19/10.90 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2579) is inconsistent.
% 72.19/10.90 | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | (2580) all_64_2 = e1 | all_64_2 = e0
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2580) gives:
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | (2581) all_64_2 = e1
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2440), (2581) imply:
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | (2582) all_4_0 = e1
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2559), (2582) imply:
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | (2583) $false
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2583) is inconsistent.
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | (2584) all_64_2 = e0
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2440), (2584) imply:
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | (2585) all_4_0 = e0
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (719), (2585) imply:
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | (2586) ~ (all_28_0 = e0)
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2480), (2585) imply:
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | (2587) op(e0, e1) = all_66_40
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2456), (2585) imply:
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | (2588) op(e3, e1) = e0
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2562), (2585) imply:
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | (2589) op(e2, e0) = e1
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (877), (2585) imply:
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | (2590) op(e1, e0) = all_66_40
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2532) gives:
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | (2591) all_64_7 = e1
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (687), (2556), (2591) are inconsistent by
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #92.
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | (2592) all_64_7 = e0
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (687), (2592) imply:
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | (2593) all_22_0 = e0
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2593) implies:
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | (2594) all_22_0 = e0
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (760), (2594) imply:
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | (2595) ~ (all_36_0 = e0)
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (762), (2594) imply:
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | (2596) ~ (all_8_0 = e0)
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2596) implies:
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | (2597) ~ (all_8_0 = e0)
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (800), (2594) imply:
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | (2598) op(e0, e2) = all_66_29
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (801), (2594) imply:
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | (2599) op(e0, e1) = all_66_30
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (859), (2594) imply:
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | (2600) op(e2, e0) = all_66_23
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (271) gives:
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | (2601) all_64_11 = e3
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (546), (2601) imply:
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | (2602) all_8_0 = e3
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (905), (2602) imply:
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | (2603) $false
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2603) is inconsistent.
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | (2604) all_64_11 = e2 | all_64_11 = e1 | all_64_11 = e0
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2604) gives:
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | (2605) all_64_11 = e2
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (546), (2605) imply:
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | (2606) all_8_0 = e2
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (761), (2606) imply:
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | (2607) ~ (all_36_0 = e2)
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (816), (2606) imply:
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | (2608) op(e2, e2) = all_66_45
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (818), (2606) imply:
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | (2609) op(e2, e0) = all_66_47
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (897), (2606) imply:
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | (2610) op(e0, e2) = all_66_71
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (268) gives:
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2611) all_64_14 = e3
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (551), (2611) imply:
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2612) all_42_0 = e3
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2424), (2612) imply:
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2613) $false
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2613) is inconsistent.
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2614) all_64_14 = e2 | all_64_14 = e1 | all_64_14 = e0
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (270) gives:
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2615) all_64_12 = e3
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (684), (2615) imply:
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2616) all_28_0 = e3
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (819), (2616) imply:
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2617) op(e3, e3) = all_66_49
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2450), (2616) imply:
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2618) op(all_20_0, e1) = e3
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2572) gives:
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2619) all_64_13 = e1
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (550), (2619) imply:
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2620) all_20_0 = e1
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2557), (2620) imply:
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2621) $false
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2621) is inconsistent.
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2622) all_64_13 = e0
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (550), (2622) imply:
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2623) all_20_0 = e0
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (748), (2623) imply:
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2624) ~ (all_42_0 = e0)
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2557), (2623) imply:
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2625) ~ (e1 = e0)
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (824), (2623) imply:
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2626) op(e0, e2) = all_66_59
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2618), (2623) imply:
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2627) op(e0, e1) = e3
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (865), (2623) imply:
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2628) op(e2, e0) = all_66_29
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (882), (2623) imply:
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2629) op(e1, e0) = all_66_45
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (278) gives:
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2630) all_64_3 = e3
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (529), (2630) imply:
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2631) all_36_0 = e3
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (838), (2631) imply:
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2632) op(e3, e3) = all_66_3
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (855), (2631) imply:
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2633) op(e2, e3) = all_66_19
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2614) gives:
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2634) all_64_14 = e2
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (551), (2634) imply:
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2635) all_42_0 = e2
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (827), (2635) imply:
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2636) op(e2, e3) = all_66_65
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (830), (2635) imply:
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2637) op(e2, e0) = all_66_71
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (900), (2635) imply:
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2638) op(e0, e2) = all_66_77
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with e3, all_66_59, e1, e0,
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2528), (2627) gives:
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2639) all_66_59 = e3
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_69, all_66_40, e1,
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (2563), (2587) gives:
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2640) all_66_40 = all_66_69
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_59, all_66_30, e1,
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (2528), (2599) gives:
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2641) all_66_30 = all_66_59
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_69, all_66_30, e1,
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (2563), (2599) gives:
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2642) all_66_30 = all_66_69
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_78, all_66_30, e1,
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (2564), (2599) gives:
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2643) all_66_30 = all_66_78
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_77, all_66_71, e2,
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (2610), (2638) gives:
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2644) all_66_71 = all_66_77
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_59, all_66_29, e2,
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (2598), (2626) gives:
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2645) all_66_29 = all_66_59
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_77, all_66_29, e2,
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (2598), (2638) gives:
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2646) all_66_29 = all_66_77
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_40, all_66_3, e0,
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (2561), (2590) gives:
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2647) all_66_3 = all_66_40
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_45, all_66_3, e0,
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (2561), (2629) gives:
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2648) all_66_3 = all_66_45
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with e2, all_66_77, e1, e1,
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2527), (2560) gives:
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2649) all_66_77 = e2
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_47, all_66_29, e0,
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (2609), (2628) gives:
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2650) all_66_29 = all_66_47
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_71, all_66_23, e0,
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (2600), (2637) gives:
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2651) all_66_23 = all_66_71
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with e1, all_66_23, e0, e2,
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2589), (2600) gives:
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2652) all_66_23 = e1
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_47, all_66_19, e0,
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (2504), (2609) gives:
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2653) all_66_19 = all_66_47
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_45, all_66_20, e2,
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (2505), (2608) gives:
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2654) all_66_20 = all_66_45
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_19, all_66_16, e3,
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (2503), (2633) gives:
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2655) all_66_16 = all_66_19
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_65, all_66_16, e3,
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (2503), (2636) gives:
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2656) all_66_16 = all_66_65
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with e0, all_66_20, e1, e3,
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2526), (2588) gives:
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2657) all_66_20 = e0
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_49, all_66_3, e3,
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (2617), (2632) gives:
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2658) all_66_3 = all_66_49
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2647), (2648) imply:
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2659) all_66_40 = all_66_45
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2647), (2658) imply:
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2660) all_66_40 = all_66_49
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2655), (2656) imply:
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2661) all_66_19 = all_66_65
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2661) implies:
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2662) all_66_19 = all_66_65
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2653), (2662) imply:
% 72.33/10.90 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2663) all_66_47 = all_66_65
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2663) implies:
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2664) all_66_47 = all_66_65
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2654), (2657) imply:
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2665) all_66_45 = e0
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2665) implies:
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2666) all_66_45 = e0
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2651), (2652) imply:
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2667) all_66_71 = e1
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2667) implies:
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2668) all_66_71 = e1
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2645), (2646) imply:
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2669) all_66_59 = all_66_77
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2645), (2650) imply:
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2670) all_66_47 = all_66_59
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2670) implies:
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2671) all_66_47 = all_66_59
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2641), (2643) imply:
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2672) all_66_59 = all_66_78
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2672) implies:
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2673) all_66_59 = all_66_78
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2642), (2643) imply:
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2674) all_66_69 = all_66_78
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2674) implies:
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2675) all_66_69 = all_66_78
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2659), (2660) imply:
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2676) all_66_45 = all_66_49
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2676) implies:
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2677) all_66_45 = all_66_49
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2640), (2660) imply:
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2678) all_66_49 = all_66_69
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2666), (2677) imply:
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2679) all_66_49 = e0
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2664), (2671) imply:
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2680) all_66_59 = all_66_65
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2680) implies:
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2681) all_66_59 = all_66_65
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2678), (2679) imply:
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2682) all_66_69 = e0
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2682) implies:
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2683) all_66_69 = e0
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2639), (2681) imply:
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2684) all_66_65 = e3
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2669), (2681) imply:
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2685) all_66_65 = all_66_77
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2673), (2681) imply:
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2686) all_66_65 = all_66_78
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2684), (2685) imply:
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2687) all_66_77 = e3
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2687) implies:
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2688) all_66_77 = e3
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2684), (2686) imply:
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2689) all_66_78 = e3
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2689) implies:
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2690) all_66_78 = e3
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2675), (2683) imply:
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2691) all_66_78 = e0
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2691) implies:
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2692) all_66_78 = e0
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2644), (2668) imply:
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2693) all_66_77 = e1
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2693) implies:
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2694) all_66_77 = e1
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2649), (2694) imply:
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2695) e2 = e1
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2649), (2688) imply:
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2696) e3 = e2
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2696) implies:
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2697) e3 = e2
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2690), (2692) imply:
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2698) e3 = e0
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2698) implies:
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2699) e3 = e0
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2697), (2699) imply:
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2700) e2 = e0
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2700) implies:
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2701) e2 = e0
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2525), (2695), (2701) are inconsistent by
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3.
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2702) all_64_14 = e1 | all_64_14 = e0
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (551), (2553), (2624), (2702) are inconsistent by
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #58.
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2703) all_64_3 = e2 | all_64_3 = e1 | all_64_3 = e0
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (529), (2554), (2595), (2607), (2703) are
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #19.
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2704) all_64_12 = e2 | all_64_12 = e1 | all_64_12 = e0
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (684), (2498), (2555), (2586), (2704) are
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #84.
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | (2705) all_64_11 = e1 | all_64_11 = e0
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (546), (2558), (2597), (2705) are inconsistent by
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #91.
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | | End of split
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | | End of split
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | | | | | | | | | | End of split
% 72.33/10.91 | | | | | | | | | | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | | | | | | | | | End of split
% 72.33/10.91 | | | | | | | | | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | | | | | | | | Case 2:
% 72.33/10.91 | | | | | | | | | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | | | | | | | | | (2706) all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 &
% 72.33/10.91 | | | | | | | | | | | | | | | | | | all_56_3 = e0
% 72.33/10.91 | | | | | | | | | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | | | | | | | | | ALPHA: (2706) implies:
% 72.33/10.91 | | | | | | | | | | | | | | | | | | (2707) all_56_1 = e0
% 72.33/10.91 | | | | | | | | | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2522), (2707) imply:
% 72.33/10.91 | | | | | | | | | | | | | | | | | | (2708) e1 = e0
% 72.33/10.91 | | | | | | | | | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | | | | | | | | | SIMP: (2708) implies:
% 72.33/10.91 | | | | | | | | | | | | | | | | | | (2709) e1 = e0
% 72.33/10.91 | | | | | | | | | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | | | | | | | | | REDUCE: (2525), (2709) imply:
% 72.33/10.91 | | | | | | | | | | | | | | | | | | (2710) $false
% 72.33/10.91 | | | | | | | | | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | | | | | | | | | CLOSE: (2710) is inconsistent.
% 72.33/10.91 | | | | | | | | | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | | | | | | | | End of split
% 72.33/10.91 | | | | | | | | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | | | | | | | End of split
% 72.33/10.91 | | | | | | | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | | | | | | End of split
% 72.33/10.91 | | | | | | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | | | | | End of split
% 72.33/10.91 | | | | | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | | | | Case 2:
% 72.33/10.91 | | | | | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | | | | | (2711) all_64_5 = e0
% 72.33/10.91 | | | | | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | | | | | COMBINE_EQS: (481), (2711) imply:
% 72.33/10.91 | | | | | | | | | | | | | | (2712) all_10_1 = e0
% 72.33/10.91 | | | | | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | | | | | SIMP: (2712) implies:
% 72.33/10.91 | | | | | | | | | | | | | | (2713) all_10_1 = e0
% 72.33/10.91 | | | | | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | | | | | REDUCE: (2168), (2713) imply:
% 72.33/10.91 | | | | | | | | | | | | | | (2714) $false
% 72.33/10.91 | | | | | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | | | | | CLOSE: (2714) is inconsistent.
% 72.33/10.91 | | | | | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | | | | End of split
% 72.33/10.91 | | | | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | | | End of split
% 72.33/10.91 | | | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | | End of split
% 72.33/10.91 | | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | Case 2:
% 72.33/10.91 | | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | | (2715) ~ (all_64_1 = e2)
% 72.33/10.91 | | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | | REDUCE: (2441), (2715) imply:
% 72.33/10.91 | | | | | | | | | | | (2716) ~ (all_6_0 = e2)
% 72.33/10.91 | | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | | REF_CLOSE: (689), (904), (2486), (2491), (2716) are
% 72.33/10.91 | | | | | | | | | | | inconsistent by sub-proof #97.
% 72.33/10.91 | | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | End of split
% 72.33/10.91 | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | End of split
% 72.33/10.91 | | | | | | | | |
% 72.33/10.91 | | | | | | | | End of split
% 72.33/10.91 | | | | | | | |
% 72.33/10.91 | | | | | | | Case 2:
% 72.33/10.91 | | | | | | | |
% 72.33/10.91 | | | | | | | | (2717) all_14_0 = e0
% 72.33/10.91 | | | | | | | | (2718) ~ (all_14_1 = e1)
% 72.33/10.91 | | | | | | | |
% 72.33/10.91 | | | | | | | | COMBINE_EQS: (2436), (2717) imply:
% 72.33/10.91 | | | | | | | | (2719) all_6_0 = e0
% 72.33/10.91 | | | | | | | |
% 72.33/10.91 | | | | | | | | REDUCE: (2445), (2719) imply:
% 72.33/10.91 | | | | | | | | (2720) ~ (all_20_0 = e0)
% 72.33/10.91 | | | | | | | |
% 72.33/10.91 | | | | | | | | REDUCE: (671), (2718) imply:
% 72.33/10.91 | | | | | | | | (2721) ~ (all_10_1 = e1)
% 72.33/10.91 | | | | | | | |
% 72.33/10.91 | | | | | | | | REDUCE: (709), (2719) imply:
% 72.33/10.91 | | | | | | | | (2722) ~ (all_4_0 = e0)
% 72.33/10.91 | | | | | | | |
% 72.33/10.91 | | | | | | | | SIMP: (2722) implies:
% 72.33/10.91 | | | | | | | | (2723) ~ (all_4_0 = e0)
% 72.33/10.91 | | | | | | | |
% 72.33/10.91 | | | | | | | | REDUCE: (698), (2719) imply:
% 72.33/10.91 | | | | | | | | (2724) ~ (all_4_1 = e0)
% 72.33/10.91 | | | | | | | |
% 72.33/10.91 | | | | | | | | SIMP: (2724) implies:
% 72.33/10.91 | | | | | | | | (2725) ~ (all_4_1 = e0)
% 72.33/10.91 | | | | | | | |
% 72.33/10.91 | | | | | | | | REDUCE: (856), (2719) imply:
% 72.33/10.91 | | | | | | | | (2726) op(e2, e0) = all_66_20
% 72.33/10.91 | | | | | | | |
% 72.33/10.91 | | | | | | | | REDUCE: (2197), (2719) imply:
% 72.33/10.91 | | | | | | | | (2727) op(e1, e0) = all_4_1
% 72.33/10.91 | | | | | | | |
% 72.33/10.91 | | | | | | | | REDUCE: (890), (2719) imply:
% 72.33/10.91 | | | | | | | | (2728) op(e0, e0) = all_66_57
% 72.33/10.91 | | | | | | | |
% 72.33/10.91 | | | | | | | | BETA: splitting (163) gives:
% 72.33/10.91 | | | | | | | |
% 72.33/10.91 | | | | | | | | Case 1:
% 72.33/10.91 | | | | | | | | |
% 72.33/10.91 | | | | | | | | | (2729) (all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 &
% 72.33/10.91 | | | | | | | | | all_56_3 = e3) | (all_56_0 = e2 & all_56_1 = e2 &
% 72.33/10.91 | | | | | | | | | all_56_2 = e2 & all_56_3 = e2)
% 72.33/10.91 | | | | | | | | |
% 72.33/10.91 | | | | | | | | | BETA: splitting (2729) gives:
% 72.33/10.91 | | | | | | | | |
% 72.33/10.91 | | | | | | | | | Case 1:
% 72.33/10.91 | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | (2730) all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 &
% 72.33/10.91 | | | | | | | | | | all_56_3 = e3
% 72.33/10.91 | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | REF_CLOSE: (600), (2172), (2730) are inconsistent by
% 72.33/10.91 | | | | | | | | | | sub-proof #32.
% 72.33/10.91 | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | Case 2:
% 72.33/10.91 | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | (2731) all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 &
% 72.33/10.91 | | | | | | | | | | all_56_3 = e2
% 72.33/10.91 | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | ALPHA: (2731) implies:
% 72.33/10.91 | | | | | | | | | | (2732) all_56_3 = e2
% 72.33/10.91 | | | | | | | | | | (2733) all_56_2 = e2
% 72.33/10.91 | | | | | | | | | | (2734) all_56_1 = e2
% 72.33/10.91 | | | | | | | | | | (2735) all_56_0 = e2
% 72.33/10.91 | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | COMBINE_EQS: (559), (2735) imply:
% 72.33/10.91 | | | | | | | | | | (2736) all_4_1 = e2
% 72.33/10.91 | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | SIMP: (2736) implies:
% 72.33/10.91 | | | | | | | | | | (2737) all_4_1 = e2
% 72.33/10.91 | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | COMBINE_EQS: (600), (2734) imply:
% 72.33/10.91 | | | | | | | | | | (2738) all_10_1 = e2
% 72.33/10.91 | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | SIMP: (2738) implies:
% 72.33/10.91 | | | | | | | | | | (2739) all_10_1 = e2
% 72.33/10.91 | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | COMBINE_EQS: (680), (2733) imply:
% 72.33/10.91 | | | | | | | | | | (2740) all_12_1 = e2
% 72.33/10.91 | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | SIMP: (2740) implies:
% 72.33/10.91 | | | | | | | | | | (2741) all_12_1 = e2
% 72.33/10.91 | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | COMBINE_EQS: (679), (2732) imply:
% 72.33/10.91 | | | | | | | | | | (2742) all_8_1 = e2
% 72.33/10.91 | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | SIMP: (2742) implies:
% 72.33/10.91 | | | | | | | | | | (2743) all_8_1 = e2
% 72.33/10.91 | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | REDUCE: (759), (2743) imply:
% 72.33/10.91 | | | | | | | | | | (2744) ~ (all_42_0 = e2)
% 72.33/10.91 | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | REDUCE: (708), (2737) imply:
% 72.33/10.91 | | | | | | | | | | (2745) ~ (all_36_0 = e2)
% 72.33/10.91 | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | REDUCE: (702), (2737) imply:
% 72.33/10.91 | | | | | | | | | | (2746) ~ (all_28_0 = e2)
% 72.33/10.91 | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | REDUCE: (763), (2743) imply:
% 72.33/10.91 | | | | | | | | | | (2747) ~ (all_22_0 = e2)
% 72.33/10.91 | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | REDUCE: (749), (2743) imply:
% 72.33/10.91 | | | | | | | | | | (2748) ~ (all_20_0 = e2)
% 72.33/10.91 | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | REDUCE: (764), (2743) imply:
% 72.33/10.91 | | | | | | | | | | (2749) ~ (all_8_0 = e2)
% 72.33/10.91 | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | REDUCE: (811), (2741) imply:
% 72.33/10.91 | | | | | | | | | | (2750) op(e2, e3) = all_66_40
% 72.33/10.91 | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | REDUCE: (794), (2739) imply:
% 72.33/10.91 | | | | | | | | | | (2751) op(e2, e0) = all_66_23
% 72.33/10.91 | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | REDUCE: (831), (2743) imply:
% 72.33/10.91 | | | | | | | | | | (2752) op(e2, e3) = all_66_73
% 72.33/10.91 | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | REDUCE: (834), (2743) imply:
% 72.33/10.91 | | | | | | | | | | (2753) op(e2, e0) = all_66_78
% 72.33/10.91 | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | REDUCE: (771), (2737) imply:
% 72.33/10.91 | | | | | | | | | | (2754) op(e2, e3) = all_66_0
% 72.33/10.91 | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | REDUCE: (2481), (2737) imply:
% 72.33/10.91 | | | | | | | | | | (2755) op(e2, e1) = all_66_32
% 72.33/10.91 | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | REDUCE: (774), (2737) imply:
% 72.33/10.91 | | | | | | | | | | (2756) op(e2, e0) = all_66_3
% 72.33/10.91 | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | REDUCE: (835), (2737) imply:
% 72.33/10.91 | | | | | | | | | | (2757) op(e3, e2) = all_66_0
% 72.33/10.91 | | | | | | | | | |
% 72.33/10.91 | | | | | | | | | | REDUCE: (884), (2743) imply:
% 72.33/10.92 | | | | | | | | | | (2758) op(e1, e2) = all_66_47
% 72.33/10.92 | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | REDUCE: (2727), (2737) imply:
% 72.33/10.92 | | | | | | | | | | (2759) op(e1, e0) = e2
% 72.33/10.92 | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | REDUCE: (896), (2741) imply:
% 72.33/10.92 | | | | | | | | | | (2760) op(e0, e2) = all_66_69
% 72.33/10.92 | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | REDUCE: (891), (2739) imply:
% 72.33/10.92 | | | | | | | | | | (2761) op(e0, e2) = all_66_59
% 72.33/10.92 | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | REDUCE: (901), (2743) imply:
% 72.33/10.92 | | | | | | | | | | (2762) op(e0, e2) = all_66_78
% 72.33/10.92 | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | BETA: splitting (269) gives:
% 72.33/10.92 | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | Case 1:
% 72.33/10.92 | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | (2763) all_64_13 = e3
% 72.33/10.92 | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | COMBINE_EQS: (550), (2763) imply:
% 72.33/10.92 | | | | | | | | | | | (2764) all_20_0 = e3
% 72.33/10.92 | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | REDUCE: (2169), (2764) imply:
% 72.33/10.92 | | | | | | | | | | | (2765) $false
% 72.33/10.92 | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | CLOSE: (2765) is inconsistent.
% 72.33/10.92 | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | Case 2:
% 72.33/10.92 | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | (2766) all_64_13 = e2 | all_64_13 = e1 | all_64_13 = e0
% 72.33/10.92 | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | BETA: splitting (274) gives:
% 72.33/10.92 | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | Case 1:
% 72.33/10.92 | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | (2767) all_64_7 = e3
% 72.33/10.92 | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | REF_CLOSE: (687), (2426), (2767) are inconsistent by
% 72.33/10.92 | | | | | | | | | | | | sub-proof #94.
% 72.33/10.92 | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | Case 2:
% 72.33/10.92 | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | (2768) all_64_7 = e2 | all_64_7 = e1 | all_64_7 = e0
% 72.33/10.92 | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | BETA: splitting (279) gives:
% 72.33/10.92 | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | Case 1:
% 72.33/10.92 | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | (2769) all_64_2 = e3
% 72.33/10.92 | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | COMBINE_EQS: (2440), (2769) imply:
% 72.33/10.92 | | | | | | | | | | | | | (2770) all_4_0 = e3
% 72.33/10.92 | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | REDUCE: (2175), (2770) imply:
% 72.33/10.92 | | | | | | | | | | | | | (2771) $false
% 72.33/10.92 | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | CLOSE: (2771) is inconsistent.
% 72.33/10.92 | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | Case 2:
% 72.33/10.92 | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | (2772) all_64_2 = e2 | all_64_2 = e1 | all_64_2 = e0
% 72.33/10.92 | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | BETA: splitting (2772) gives:
% 72.33/10.92 | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | Case 1:
% 72.33/10.92 | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | (2773) all_64_2 = e2
% 72.33/10.92 | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | COMBINE_EQS: (2440), (2773) imply:
% 72.33/10.92 | | | | | | | | | | | | | | (2774) all_4_0 = e2
% 72.33/10.92 | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | REDUCE: (903), (2774) imply:
% 72.33/10.92 | | | | | | | | | | | | | | (2775) $false
% 72.33/10.92 | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | CLOSE: (2775) is inconsistent.
% 72.33/10.92 | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | Case 2:
% 72.33/10.92 | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | (2776) all_64_2 = e1 | all_64_2 = e0
% 72.33/10.92 | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | BETA: splitting (2776) gives:
% 72.33/10.92 | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | Case 1:
% 72.33/10.92 | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | (2777) all_64_2 = e1
% 72.33/10.92 | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | COMBINE_EQS: (2440), (2777) imply:
% 72.33/10.92 | | | | | | | | | | | | | | | (2778) all_4_0 = e1
% 72.33/10.92 | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | REDUCE: (2443), (2778) imply:
% 72.33/10.92 | | | | | | | | | | | | | | | (2779) ~ (all_36_0 = e1)
% 72.33/10.92 | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | REDUCE: (725), (2778) imply:
% 72.33/10.92 | | | | | | | | | | | | | | | (2780) ~ (all_8_0 = e1)
% 72.33/10.92 | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | REDUCE: (803), (2778) imply:
% 72.33/10.92 | | | | | | | | | | | | | | | (2781) op(e1, e3) = all_66_32
% 72.33/10.92 | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | REDUCE: (806), (2778) imply:
% 72.33/10.92 | | | | | | | | | | | | | | | (2782) op(e1, e0) = all_66_35
% 72.33/10.92 | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | REDUCE: (877), (2778) imply:
% 72.33/10.92 | | | | | | | | | | | | | | | (2783) op(e1, e1) = all_66_40
% 72.33/10.92 | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | REDUCE: (894), (2778) imply:
% 72.33/10.92 | | | | | | | | | | | | | | | (2784) op(e0, e1) = all_66_65
% 72.33/10.92 | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | BETA: splitting (268) gives:
% 72.33/10.92 | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | Case 1:
% 72.33/10.92 | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | (2785) all_64_14 = e3
% 72.33/10.92 | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | REF_CLOSE: (551), (2424), (2785) are inconsistent by
% 72.33/10.92 | | | | | | | | | | | | | | | | sub-proof #59.
% 72.33/10.92 | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | Case 2:
% 72.33/10.92 | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | (2786) all_64_14 = e2 | all_64_14 = e1 | all_64_14 = e0
% 72.33/10.92 | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | BETA: splitting (2786) gives:
% 72.33/10.92 | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | Case 1:
% 72.33/10.92 | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | (2787) all_64_14 = e2
% 72.33/10.92 | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | REF_CLOSE: (551), (2744), (2787) are inconsistent by
% 72.33/10.92 | | | | | | | | | | | | | | | | | sub-proof #49.
% 72.33/10.92 | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | Case 2:
% 72.33/10.92 | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | (2788) all_64_14 = e1 | all_64_14 = e0
% 72.33/10.92 | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | BETA: splitting (271) gives:
% 72.33/10.92 | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | Case 1:
% 72.33/10.92 | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | (2789) all_64_11 = e3
% 72.33/10.92 | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (546), (2789) imply:
% 72.33/10.92 | | | | | | | | | | | | | | | | | | (2790) all_8_0 = e3
% 72.33/10.92 | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | REDUCE: (905), (2790) imply:
% 72.33/10.92 | | | | | | | | | | | | | | | | | | (2791) $false
% 72.33/10.92 | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | CLOSE: (2791) is inconsistent.
% 72.33/10.92 | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | Case 2:
% 72.33/10.92 | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | (2792) all_64_11 = e2 | all_64_11 = e1 | all_64_11 = e0
% 72.33/10.92 | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | BETA: splitting (2792) gives:
% 72.33/10.92 | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | Case 1:
% 72.33/10.92 | | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | (2793) all_64_11 = e2
% 72.33/10.92 | | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (546), (2793) imply:
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | (2794) all_8_0 = e2
% 72.33/10.92 | | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | REDUCE: (2749), (2794) imply:
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | (2795) $false
% 72.33/10.92 | | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | CLOSE: (2795) is inconsistent.
% 72.33/10.92 | | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | Case 2:
% 72.33/10.92 | | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | (2796) all_64_11 = e1 | all_64_11 = e0
% 72.33/10.92 | | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | BETA: splitting (2796) gives:
% 72.33/10.92 | | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | Case 1:
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | (2797) all_64_11 = e1
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (546), (2797) imply:
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | (2798) all_8_0 = e1
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | REDUCE: (2780), (2798) imply:
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | (2799) $false
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | CLOSE: (2799) is inconsistent.
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | Case 2:
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | (2800) all_64_11 = e0
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (546), (2800) imply:
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | (2801) all_8_0 = e0
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | REDUCE: (761), (2801) imply:
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | (2802) ~ (all_36_0 = e0)
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | REDUCE: (762), (2801) imply:
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | (2803) ~ (all_22_0 = e0)
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | REDUCE: (816), (2801) imply:
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | (2804) op(e0, e2) = all_66_45
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | REDUCE: (817), (2801) imply:
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | (2805) op(e0, e1) = all_66_46
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | REDUCE: (818), (2801) imply:
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | (2806) op(e0, e0) = all_66_47
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | REDUCE: (2483), (2801) imply:
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | (2807) op(e3, e0) = all_66_35
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | REDUCE: (2459), (2801) imply:
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | (2808) op(e2, e0) = all_36_0
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | REDUCE: (880), (2801) imply:
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | (2809) op(e1, e0) = all_66_43
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | BETA: splitting (2766) gives:
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | (2810) all_64_13 = e2
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (550), (2810) imply:
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | (2811) all_20_0 = e2
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | REDUCE: (2748), (2811) imply:
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | (2812) $false
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | CLOSE: (2812) is inconsistent.
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | (2813) all_64_13 = e1 | all_64_13 = e0
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2813) gives:
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | (2814) all_64_13 = e1
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (550), (2814) imply:
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | (2815) all_20_0 = e1
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (748), (2815) imply:
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | (2816) ~ (all_42_0 = e1)
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (726), (2815) imply:
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | (2817) ~ (all_28_0 = e1)
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (824), (2815) imply:
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | (2818) op(e1, e2) = all_66_59
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (826), (2815) imply:
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | (2819) op(e1, e0) = all_66_63
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (882), (2815) imply:
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | (2820) op(e1, e1) = all_66_45
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (899), (2815) imply:
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | (2821) op(e0, e1) = all_66_75
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2788) gives:
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | (2822) all_64_14 = e1
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (551), (2822) imply:
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | (2823) all_42_0 = e1
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2816), (2823) imply:
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | (2824) $false
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2824) is inconsistent.
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | (2825) all_64_14 = e0
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (551), (2825) imply:
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | (2826) all_42_0 = e0
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (866), (2826) imply:
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | (2827) op(e2, e0) = all_66_30
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (883), (2826) imply:
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | (2828) op(e1, e0) = all_66_46
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (123), (2826) imply:
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | (2829) op(e0, e1) = e0
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (278) gives:
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | (2830) all_64_3 = e3
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (529), (2830) imply:
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | (2831) all_36_0 = e3
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2808), (2831) imply:
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | (2832) op(e2, e0) = e3
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (889), (2831) imply:
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | (2833) op(e0, e3) = all_66_55
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (270) gives:
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | (2834) all_64_12 = e3
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (684), (2834) imply:
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | (2835) all_28_0 = e3
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2479), (2835) imply:
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | (2836) op(e3, e2) = all_66_57
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (822), (2835) imply:
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | (2837) op(e3, e0) = all_66_55
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (864), (2835) imply:
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | (2838) op(e2, e3) = all_66_28
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (881), (2835) imply:
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | (2839) op(e1, e3) = all_66_44
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (898), (2835) imply:
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | (2840) op(e0, e3) = all_66_73
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2768) gives:
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (2841) all_64_7 = e2
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (687), (2747), (2841) are inconsistent by
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #93.
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | (2842) all_64_7 = e1 | all_64_7 = e0
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2842) gives:
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2843) all_64_7 = e1
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (687), (2843) imply:
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2844) all_22_0 = e1
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2844) implies:
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2845) all_22_0 = e1
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2803), (2845) imply:
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2846) ~ (e1 = e0)
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (799), (2845) imply:
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2847) op(e1, e3) = all_66_28
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (859), (2845) imply:
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2848) op(e2, e1) = all_66_23
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (84), (2845) imply:
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2849) op(e2, e0) = e1
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (893), (2845) imply:
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2850) op(e0, e1) = all_66_63
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_57, all_66_47, e0,
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (2728), (2806) gives:
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2851) all_66_47 = all_66_57
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with e0, all_66_75, e1, e0,
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2821), (2829) gives:
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2852) all_66_75 = e0
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_65, all_66_63, e1,
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (2784), (2850) gives:
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2853) all_66_63 = all_66_65
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_75, all_66_63, e1,
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (2821), (2850) gives:
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2854) all_66_63 = all_66_75
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_65, all_66_46, e1,
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (2784), (2805) gives:
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2855) all_66_46 = all_66_65
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_78, all_66_69, e2,
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (2760), (2762) gives:
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2856) all_66_69 = all_66_78
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_69, all_66_59, e2,
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (2760), (2761) gives:
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2857) all_66_59 = all_66_69
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_78, all_66_45, e2,
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (2762), (2804) gives:
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2858) all_66_45 = all_66_78
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_73, all_66_55, e3,
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (2833), (2840) gives:
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2859) all_66_55 = all_66_73
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_46, all_66_43, e0,
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (2809), (2828) gives:
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2860) all_66_43 = all_66_46
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with e2, all_66_43, e0, e1,
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2759), (2809) gives:
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2861) all_66_43 = e2
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_63, all_66_35, e0,
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (2782), (2819) gives:
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2862) all_66_35 = all_66_63
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_45, all_66_40, e1,
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (2783), (2820) gives:
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2863) all_66_40 = all_66_45
% 72.33/10.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_59, all_66_47, e2,
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (2758), (2818) gives:
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2864) all_66_47 = all_66_59
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_44, all_66_32, e3,
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (2781), (2839) gives:
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2865) all_66_32 = all_66_44
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_44, all_66_28, e3,
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (2839), (2847) gives:
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2866) all_66_28 = all_66_44
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with e1, all_66_78, e0, e2,
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2753), (2849) gives:
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2867) all_66_78 = e1
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_23, all_66_20, e0,
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (2726), (2751) gives:
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2868) all_66_20 = all_66_23
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_30, all_66_20, e0,
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (2726), (2827) gives:
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2869) all_66_20 = all_66_30
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_23, all_66_3, e0,
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (2751), (2756) gives:
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2870) all_66_3 = all_66_23
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with e3, all_66_3, e0, e2,
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2756), (2832) gives:
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2871) all_66_3 = e3
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_32, all_66_23, e1,
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (2755), (2848) gives:
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2872) all_66_23 = all_66_32
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_73, all_66_40, e3,
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (2750), (2752) gives:
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2873) all_66_40 = all_66_73
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_28, all_66_0, e3,
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (2754), (2838) gives:
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2874) all_66_0 = all_66_28
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_55, all_66_35, e0,
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (2807), (2837) gives:
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2875) all_66_35 = all_66_55
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_57, all_66_0, e2,
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (2757), (2836) gives:
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2876) all_66_0 = all_66_57
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2874), (2876) imply:
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2877) all_66_28 = all_66_57
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2877) implies:
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2878) all_66_28 = all_66_57
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2870), (2871) imply:
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2879) all_66_23 = e3
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2879) implies:
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2880) all_66_23 = e3
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2868), (2869) imply:
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2881) all_66_23 = all_66_30
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2881) implies:
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2882) all_66_23 = all_66_30
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2880), (2882) imply:
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2883) all_66_30 = e3
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2872), (2882) imply:
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2884) all_66_30 = all_66_32
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2866), (2878) imply:
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2885) all_66_44 = all_66_57
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2885) implies:
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2886) all_66_44 = all_66_57
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2883), (2884) imply:
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2887) all_66_32 = e3
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2887) implies:
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2888) all_66_32 = e3
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2865), (2888) imply:
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2889) all_66_44 = e3
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2889) implies:
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2890) all_66_44 = e3
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2862), (2875) imply:
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2891) all_66_55 = all_66_63
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2863), (2873) imply:
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2892) all_66_45 = all_66_73
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2892) implies:
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2893) all_66_45 = all_66_73
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2860), (2861) imply:
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2894) all_66_46 = e2
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2894) implies:
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2895) all_66_46 = e2
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2886), (2890) imply:
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2896) all_66_57 = e3
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2896) implies:
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2897) all_66_57 = e3
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2858), (2893) imply:
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2898) all_66_73 = all_66_78
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2855), (2895) imply:
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2899) all_66_65 = e2
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2899) implies:
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2900) all_66_65 = e2
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2851), (2864) imply:
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2901) all_66_57 = all_66_59
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2901) implies:
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2902) all_66_57 = all_66_59
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2859), (2891) imply:
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2903) all_66_63 = all_66_73
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2903) implies:
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2904) all_66_63 = all_66_73
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2897), (2902) imply:
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2905) all_66_59 = e3
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2905) implies:
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2906) all_66_59 = e3
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2857), (2906) imply:
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2907) all_66_69 = e3
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2907) implies:
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2908) all_66_69 = e3
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2854), (2904) imply:
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2909) all_66_73 = all_66_75
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2853), (2904) imply:
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2910) all_66_65 = all_66_73
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2910) implies:
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2911) all_66_65 = all_66_73
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2900), (2911) imply:
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2912) all_66_73 = e2
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2912) implies:
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2913) all_66_73 = e2
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2856), (2908) imply:
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2914) all_66_78 = e3
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2914) implies:
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2915) all_66_78 = e3
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2909), (2913) imply:
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2916) all_66_75 = e2
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2916) implies:
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2917) all_66_75 = e2
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2898), (2913) imply:
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2918) all_66_78 = e2
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2918) implies:
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2919) all_66_78 = e2
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2852), (2917) imply:
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2920) e2 = e0
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2915), (2919) imply:
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2921) e3 = e2
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2867), (2915) imply:
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2922) e3 = e1
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2921), (2922) imply:
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2923) e2 = e1
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2923) implies:
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2924) e2 = e1
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2846), (2920), (2924) are inconsistent by
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3.
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2925) all_64_7 = e0
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (687), (2925) imply:
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2926) all_22_0 = e0
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2926) implies:
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2927) all_22_0 = e0
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2803), (2927) imply:
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2928) $false
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2928) is inconsistent.
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | (2929) all_64_12 = e2 | all_64_12 = e1 | all_64_12 = e0
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (551), (684), (728), (2746), (2788), (2816),
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | | (2817), (2929) are inconsistent by sub-proof #31.
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | (2930) all_64_3 = e2 | all_64_3 = e1 | all_64_3 = e0
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (529), (2745), (2779), (2802), (2930) are
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #19.
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | (2931) all_64_13 = e0
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | |
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (550), (2931) imply:
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | | (2932) all_20_0 = e0
% 72.33/10.93 | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.93 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2720), (2932) imply:
% 72.47/10.93 | | | | | | | | | | | | | | | | | | | | | | (2933) $false
% 72.47/10.93 | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.93 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2933) is inconsistent.
% 72.47/10.93 | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.93 | | | | | | | | | | | | | | | | | | | | | End of split
% 72.47/10.93 | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.93 | | | | | | | | | | | | | | | | | | | | End of split
% 72.47/10.93 | | | | | | | | | | | | | | | | | | | |
% 72.47/10.93 | | | | | | | | | | | | | | | | | | | End of split
% 72.47/10.93 | | | | | | | | | | | | | | | | | | |
% 72.47/10.93 | | | | | | | | | | | | | | | | | | End of split
% 72.47/10.93 | | | | | | | | | | | | | | | | | |
% 72.47/10.93 | | | | | | | | | | | | | | | | | End of split
% 72.47/10.93 | | | | | | | | | | | | | | | | |
% 72.47/10.93 | | | | | | | | | | | | | | | | End of split
% 72.47/10.93 | | | | | | | | | | | | | | | |
% 72.47/10.93 | | | | | | | | | | | | | | | End of split
% 72.47/10.93 | | | | | | | | | | | | | | |
% 72.47/10.93 | | | | | | | | | | | | | | Case 2:
% 72.47/10.93 | | | | | | | | | | | | | | |
% 72.47/10.93 | | | | | | | | | | | | | | | (2934) all_64_2 = e0
% 72.47/10.93 | | | | | | | | | | | | | | |
% 72.47/10.93 | | | | | | | | | | | | | | | COMBINE_EQS: (2440), (2934) imply:
% 72.47/10.93 | | | | | | | | | | | | | | | (2935) all_4_0 = e0
% 72.47/10.93 | | | | | | | | | | | | | | |
% 72.47/10.93 | | | | | | | | | | | | | | | REDUCE: (2723), (2935) imply:
% 72.47/10.93 | | | | | | | | | | | | | | | (2936) $false
% 72.47/10.93 | | | | | | | | | | | | | | |
% 72.47/10.93 | | | | | | | | | | | | | | | CLOSE: (2936) is inconsistent.
% 72.47/10.93 | | | | | | | | | | | | | | |
% 72.47/10.93 | | | | | | | | | | | | | | End of split
% 72.47/10.93 | | | | | | | | | | | | | |
% 72.47/10.93 | | | | | | | | | | | | | End of split
% 72.47/10.93 | | | | | | | | | | | | |
% 72.47/10.93 | | | | | | | | | | | | End of split
% 72.47/10.93 | | | | | | | | | | | |
% 72.47/10.93 | | | | | | | | | | | End of split
% 72.47/10.93 | | | | | | | | | | |
% 72.47/10.93 | | | | | | | | | | End of split
% 72.47/10.93 | | | | | | | | | |
% 72.47/10.93 | | | | | | | | | End of split
% 72.47/10.93 | | | | | | | | |
% 72.47/10.93 | | | | | | | | Case 2:
% 72.47/10.93 | | | | | | | | |
% 72.47/10.93 | | | | | | | | | (2937) (all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 &
% 72.47/10.93 | | | | | | | | | all_56_3 = e1) | (all_56_0 = e0 & all_56_1 = e0 &
% 72.47/10.93 | | | | | | | | | all_56_2 = e0 & all_56_3 = e0)
% 72.47/10.93 | | | | | | | | |
% 72.47/10.93 | | | | | | | | | BETA: splitting (2937) gives:
% 72.47/10.93 | | | | | | | | |
% 72.47/10.93 | | | | | | | | | Case 1:
% 72.47/10.93 | | | | | | | | | |
% 72.47/10.93 | | | | | | | | | | (2938) all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 &
% 72.47/10.93 | | | | | | | | | | all_56_3 = e1
% 72.47/10.93 | | | | | | | | | |
% 72.47/10.93 | | | | | | | | | | REF_CLOSE: (600), (2721), (2938) are inconsistent by
% 72.47/10.93 | | | | | | | | | | sub-proof #71.
% 72.47/10.93 | | | | | | | | | |
% 72.47/10.93 | | | | | | | | | Case 2:
% 72.47/10.93 | | | | | | | | | |
% 72.47/10.93 | | | | | | | | | | (2939) all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 &
% 72.47/10.93 | | | | | | | | | | all_56_3 = e0
% 72.47/10.93 | | | | | | | | | |
% 72.47/10.93 | | | | | | | | | | REF_CLOSE: (559), (2725), (2939) are inconsistent by
% 72.47/10.93 | | | | | | | | | | sub-proof #77.
% 72.47/10.93 | | | | | | | | | |
% 72.47/10.93 | | | | | | | | | End of split
% 72.47/10.93 | | | | | | | | |
% 72.47/10.93 | | | | | | | | End of split
% 72.47/10.93 | | | | | | | |
% 72.47/10.93 | | | | | | | End of split
% 72.47/10.93 | | | | | | |
% 72.47/10.93 | | | | | | End of split
% 72.47/10.93 | | | | | |
% 72.47/10.93 | | | | | End of split
% 72.47/10.93 | | | | |
% 72.47/10.93 | | | | End of split
% 72.47/10.93 | | | |
% 72.47/10.93 | | | Case 2:
% 72.47/10.93 | | | |
% 72.47/10.93 | | | | (2940) all_8_0 = e3
% 72.47/10.93 | | | | (2941) ~ (all_8_1 = e2)
% 72.47/10.93 | | | |
% 72.47/10.93 | | | | REDUCE: (761), (2940) imply:
% 72.47/10.93 | | | | (2942) ~ (all_36_0 = e3)
% 72.47/10.93 | | | |
% 72.47/10.93 | | | | REDUCE: (762), (2940) imply:
% 72.47/10.93 | | | | (2943) ~ (all_22_0 = e3)
% 72.47/10.93 | | | |
% 72.47/10.93 | | | | REDUCE: (746), (2940) imply:
% 72.47/10.93 | | | | (2944) ~ (all_10_0 = e3)
% 72.47/10.93 | | | |
% 72.47/10.93 | | | | REDUCE: (764), (2940) imply:
% 72.47/10.93 | | | | (2945) ~ (all_8_1 = e3)
% 72.47/10.93 | | | |
% 72.47/10.93 | | | | SIMP: (2945) implies:
% 72.47/10.93 | | | | (2946) ~ (all_8_1 = e3)
% 72.47/10.93 | | | |
% 72.47/10.93 | | | | REDUCE: (725), (2940) imply:
% 72.47/10.93 | | | | (2947) ~ (all_4_0 = e3)
% 72.47/10.93 | | | |
% 72.47/10.94 | | | | SIMP: (2947) implies:
% 72.47/10.94 | | | | (2948) ~ (all_4_0 = e3)
% 72.47/10.94 | | | |
% 72.47/10.94 | | | | REDUCE: (816), (2940) imply:
% 72.47/10.94 | | | | (2949) op(e3, e2) = all_66_45
% 72.47/10.94 | | | |
% 72.47/10.94 | | | | REDUCE: (880), (2940) imply:
% 72.47/10.94 | | | | (2950) op(e1, e3) = all_66_43
% 72.47/10.94 | | | |
% 72.47/10.94 | | | | REDUCE: (56), (2940) imply:
% 72.47/10.94 | | | | (2951) op(e1, e0) = e3
% 72.47/10.94 | | | |
% 72.47/10.94 | | | | REDUCE: (897), (2940) imply:
% 72.47/10.94 | | | | (2952) op(e0, e3) = all_66_71
% 72.47/10.94 | | | |
% 72.47/10.94 | | | | GROUND_INST: instantiating (45) with all_28_0, all_66_71, e3, e0,
% 72.47/10.94 | | | | simplifying with (95), (2952) gives:
% 72.47/10.94 | | | | (2953) all_66_71 = all_28_0
% 72.47/10.94 | | | |
% 72.47/10.94 | | | | GROUND_INST: instantiating (45) with all_4_0, all_66_43, e3, e1,
% 72.47/10.94 | | | | simplifying with (47), (2950) gives:
% 72.47/10.94 | | | | (2954) all_66_43 = all_4_0
% 72.47/10.94 | | | |
% 72.47/10.94 | | | | GROUND_INST: instantiating (45) with all_14_0, all_66_45, e2, e3,
% 72.47/10.94 | | | | simplifying with (68), (2949) gives:
% 72.47/10.94 | | | | (2955) all_66_45 = all_14_0
% 72.47/10.94 | | | |
% 72.47/10.94 | | | | REDUCE: (830), (2953) imply:
% 72.47/10.94 | | | | (2956) op(all_42_0, e0) = all_28_0
% 72.47/10.94 | | | |
% 72.47/10.94 | | | | REDUCE: (882), (2955) imply:
% 72.47/10.94 | | | | (2957) op(e1, all_20_0) = all_14_0
% 72.47/10.94 | | | |
% 72.47/10.94 | | | | BETA: splitting (65) gives:
% 72.47/10.94 | | | |
% 72.47/10.94 | | | | Case 1:
% 72.47/10.94 | | | | |
% 72.47/10.94 | | | | | (2958) ~ (all_12_0 = e3)
% 72.47/10.94 | | | | |
% 72.47/10.94 | | | | | BETA: splitting (69) gives:
% 72.47/10.94 | | | | |
% 72.47/10.94 | | | | | Case 1:
% 72.47/10.94 | | | | | |
% 72.47/10.94 | | | | | | (2959) ~ (all_14_0 = e0)
% 72.47/10.94 | | | | | |
% 72.47/10.94 | | | | | | BETA: splitting (77) gives:
% 72.47/10.94 | | | | | |
% 72.47/10.94 | | | | | | Case 1:
% 72.47/10.94 | | | | | | |
% 72.47/10.94 | | | | | | | (2960) ~ (all_18_0 = e0)
% 72.47/10.94 | | | | | | |
% 72.47/10.94 | | | | | | | REDUCE: (602), (2960) imply:
% 72.47/10.94 | | | | | | | (2961) ~ (all_10_0 = e0)
% 72.47/10.94 | | | | | | |
% 72.47/10.94 | | | | | | | BETA: splitting (81) gives:
% 72.47/10.94 | | | | | | |
% 72.47/10.94 | | | | | | | Case 1:
% 72.47/10.94 | | | | | | | |
% 72.47/10.94 | | | | | | | | (2962) ~ (all_20_0 = e1)
% 72.47/10.94 | | | | | | | |
% 72.47/10.94 | | | | | | | | BETA: splitting (93) gives:
% 72.47/10.94 | | | | | | | |
% 72.47/10.94 | | | | | | | | Case 1:
% 72.47/10.94 | | | | | | | | |
% 72.47/10.94 | | | | | | | | | (2963) ~ (all_26_0 = e1)
% 72.47/10.94 | | | | | | | | |
% 72.47/10.94 | | | | | | | | | REDUCE: (598), (2963) imply:
% 72.47/10.94 | | | | | | | | | (2964) ~ (all_14_0 = e1)
% 72.47/10.94 | | | | | | | | |
% 72.47/10.94 | | | | | | | | | BETA: splitting (97) gives:
% 72.47/10.94 | | | | | | | | |
% 72.47/10.94 | | | | | | | | | Case 1:
% 72.47/10.94 | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | (2965) ~ (all_28_0 = e2)
% 72.47/10.94 | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | BETA: splitting (105) gives:
% 72.47/10.94 | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | Case 1:
% 72.47/10.94 | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | (2966) ~ (all_32_0 = e0)
% 72.47/10.94 | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | REDUCE: (595), (2966) imply:
% 72.47/10.94 | | | | | | | | | | | (2967) ~ (all_4_0 = e0)
% 72.47/10.94 | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | BETA: splitting (273) gives:
% 72.47/10.94 | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | Case 1:
% 72.47/10.94 | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | (2968) all_64_8 = e3
% 72.47/10.94 | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | COMBINE_EQS: (686), (2968) imply:
% 72.47/10.94 | | | | | | | | | | | | (2969) all_4_0 = e3
% 72.47/10.94 | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | REDUCE: (2948), (2969) imply:
% 72.47/10.94 | | | | | | | | | | | | (2970) $false
% 72.47/10.94 | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | CLOSE: (2970) is inconsistent.
% 72.47/10.94 | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | Case 2:
% 72.47/10.94 | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | (2971) ~ (all_64_8 = e3)
% 72.47/10.94 | | | | | | | | | | | | (2972) all_64_8 = e2 | all_64_8 = e1 | all_64_8 = e0
% 72.47/10.94 | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | BETA: splitting (2972) gives:
% 72.47/10.94 | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | Case 1:
% 72.47/10.94 | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | (2973) all_64_8 = e2
% 72.47/10.94 | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | COMBINE_EQS: (686), (2973) imply:
% 72.47/10.94 | | | | | | | | | | | | | (2974) all_4_0 = e2
% 72.47/10.94 | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | REDUCE: (903), (2974) imply:
% 72.47/10.94 | | | | | | | | | | | | | (2975) $false
% 72.47/10.94 | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | CLOSE: (2975) is inconsistent.
% 72.47/10.94 | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | Case 2:
% 72.47/10.94 | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | (2976) ~ (all_64_8 = e2)
% 72.47/10.94 | | | | | | | | | | | | | (2977) all_64_8 = e1 | all_64_8 = e0
% 72.47/10.94 | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | BETA: splitting (2977) gives:
% 72.47/10.94 | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | Case 1:
% 72.47/10.94 | | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | | (2978) all_64_8 = e1
% 72.47/10.94 | | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | | COMBINE_EQS: (686), (2978) imply:
% 72.47/10.94 | | | | | | | | | | | | | | (2979) all_4_0 = e1
% 72.47/10.94 | | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | | REDUCE: (721), (2979) imply:
% 72.47/10.94 | | | | | | | | | | | | | | (2980) ~ (all_10_0 = e1)
% 72.47/10.94 | | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | | REDUCE: (700), (2979) imply:
% 72.47/10.94 | | | | | | | | | | | | | | (2981) ~ (all_4_1 = e1)
% 72.47/10.94 | | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | | SIMP: (2981) implies:
% 72.47/10.94 | | | | | | | | | | | | | | (2982) ~ (all_4_1 = e1)
% 72.47/10.94 | | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | | BETA: splitting (272) gives:
% 72.47/10.94 | | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | | Case 1:
% 72.47/10.94 | | | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | | | (2983) all_64_9 = e3
% 72.47/10.94 | | | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | | | COMBINE_EQS: (542), (2983) imply:
% 72.47/10.94 | | | | | | | | | | | | | | | (2984) all_10_0 = e3
% 72.47/10.94 | | | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | | | REDUCE: (2944), (2984) imply:
% 72.47/10.94 | | | | | | | | | | | | | | | (2985) $false
% 72.47/10.94 | | | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | | | CLOSE: (2985) is inconsistent.
% 72.47/10.94 | | | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | | Case 2:
% 72.47/10.94 | | | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | | | (2986) all_64_9 = e2 | all_64_9 = e1 | all_64_9 = e0
% 72.47/10.94 | | | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | | | BETA: splitting (2986) gives:
% 72.47/10.94 | | | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | | | Case 1:
% 72.47/10.94 | | | | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | | | | (2987) all_64_9 = e2
% 72.47/10.94 | | | | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | | | | COMBINE_EQS: (542), (2987) imply:
% 72.47/10.94 | | | | | | | | | | | | | | | | (2988) all_10_0 = e2
% 72.47/10.94 | | | | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | | | | REDUCE: (745), (2988) imply:
% 72.47/10.94 | | | | | | | | | | | | | | | | (2989) ~ (all_20_0 = e2)
% 72.47/10.94 | | | | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | | | | REDUCE: (731), (2988) imply:
% 72.47/10.94 | | | | | | | | | | | | | | | | (2990) ~ (all_14_0 = e2)
% 72.47/10.94 | | | | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | | | | BETA: splitting (280) gives:
% 72.47/10.94 | | | | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | | | | Case 1:
% 72.47/10.94 | | | | | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | | | | | (2991) all_64_1 = e3
% 72.47/10.94 | | | | | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | | | | | COMBINE_EQS: (525), (2991) imply:
% 72.47/10.94 | | | | | | | | | | | | | | | | | (2992) all_14_0 = e3
% 72.47/10.94 | | | | | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | | | | | REDUCE: (704), (2992) imply:
% 72.47/10.94 | | | | | | | | | | | | | | | | | (2993) ~ (all_4_1 = e3)
% 72.47/10.94 | | | | | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | | | | | SIMP: (2993) implies:
% 72.47/10.94 | | | | | | | | | | | | | | | | | (2994) ~ (all_4_1 = e3)
% 72.47/10.94 | | | | | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | | | | | BETA: splitting (163) gives:
% 72.47/10.94 | | | | | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | | | | | Case 1:
% 72.47/10.94 | | | | | | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | | | | | | (2995) (all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 &
% 72.47/10.94 | | | | | | | | | | | | | | | | | | all_56_3 = e3) | (all_56_0 = e2 & all_56_1 = e2
% 72.47/10.94 | | | | | | | | | | | | | | | | | | & all_56_2 = e2 & all_56_3 = e2)
% 72.47/10.94 | | | | | | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | | | | | | BETA: splitting (2995) gives:
% 72.47/10.94 | | | | | | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | | | | | | Case 1:
% 72.47/10.94 | | | | | | | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | | | | | | | (2996) all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 &
% 72.47/10.94 | | | | | | | | | | | | | | | | | | | all_56_3 = e3
% 72.47/10.94 | | | | | | | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (559), (2994), (2996) are inconsistent by
% 72.47/10.94 | | | | | | | | | | | | | | | | | | | sub-proof #79.
% 72.47/10.94 | | | | | | | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | | | | | | Case 2:
% 72.47/10.94 | | | | | | | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | | | | | | | (2997) all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 &
% 72.47/10.94 | | | | | | | | | | | | | | | | | | | all_56_3 = e2
% 72.47/10.94 | | | | | | | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (679), (2941), (2997) are inconsistent by
% 72.47/10.94 | | | | | | | | | | | | | | | | | | | sub-proof #28.
% 72.47/10.94 | | | | | | | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | | | | | | End of split
% 72.47/10.94 | | | | | | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | | | | | Case 2:
% 72.47/10.94 | | | | | | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | | | | | | (2998) (all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 &
% 72.47/10.94 | | | | | | | | | | | | | | | | | | all_56_3 = e1) | (all_56_0 = e0 & all_56_1 = e0
% 72.47/10.94 | | | | | | | | | | | | | | | | | | & all_56_2 = e0 & all_56_3 = e0)
% 72.47/10.94 | | | | | | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | | | | | | BETA: splitting (2998) gives:
% 72.47/10.94 | | | | | | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | | | | | | Case 1:
% 72.47/10.94 | | | | | | | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | | | | | | | (2999) all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 &
% 72.47/10.94 | | | | | | | | | | | | | | | | | | | all_56_3 = e1
% 72.47/10.94 | | | | | | | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (559), (2982), (2999) are inconsistent by
% 72.47/10.94 | | | | | | | | | | | | | | | | | | | sub-proof #65.
% 72.47/10.94 | | | | | | | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | | | | | | Case 2:
% 72.47/10.94 | | | | | | | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | | | | | | | (3000) all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 &
% 72.47/10.94 | | | | | | | | | | | | | | | | | | | all_56_3 = e0
% 72.47/10.94 | | | | | | | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | | | | | | | ALPHA: (3000) implies:
% 72.47/10.94 | | | | | | | | | | | | | | | | | | | (3001) all_56_3 = e0
% 72.47/10.94 | | | | | | | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (679), (3001) imply:
% 72.47/10.94 | | | | | | | | | | | | | | | | | | | (3002) all_8_1 = e0
% 72.47/10.94 | | | | | | | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | | | | | | | SIMP: (3002) implies:
% 72.47/10.94 | | | | | | | | | | | | | | | | | | | (3003) all_8_1 = e0
% 72.47/10.94 | | | | | | | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | | | | | | | REDUCE: (749), (3003) imply:
% 72.47/10.94 | | | | | | | | | | | | | | | | | | | (3004) ~ (all_20_0 = e0)
% 72.47/10.94 | | | | | | | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (45), (47), (269), (273), (280), (525), (550),
% 72.47/10.94 | | | | | | | | | | | | | | | | | | | (686), (733), (903), (2948), (2957), (2959),
% 72.47/10.94 | | | | | | | | | | | | | | | | | | | (2962), (2964), (2967), (2989), (3004) are
% 72.47/10.94 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #2.
% 72.47/10.94 | | | | | | | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | | | | | | End of split
% 72.47/10.94 | | | | | | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | | | | | End of split
% 72.47/10.94 | | | | | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | | | | Case 2:
% 72.47/10.94 | | | | | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | | | | | (3005) all_64_1 = e2 | all_64_1 = e1 | all_64_1 = e0
% 72.47/10.94 | | | | | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | | | | | REF_CLOSE: (525), (2959), (2964), (2990), (3005) are
% 72.47/10.94 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #63.
% 72.47/10.94 | | | | | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | | | | End of split
% 72.47/10.94 | | | | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | | | Case 2:
% 72.47/10.94 | | | | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | | | | (3006) all_64_9 = e1 | all_64_9 = e0
% 72.47/10.94 | | | | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | | | | REF_CLOSE: (542), (2961), (2980), (3006) are inconsistent by
% 72.47/10.94 | | | | | | | | | | | | | | | | sub-proof #107.
% 72.47/10.94 | | | | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | | | End of split
% 72.47/10.94 | | | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | | End of split
% 72.47/10.94 | | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | Case 2:
% 72.47/10.94 | | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | | (3007) all_64_8 = e0
% 72.47/10.94 | | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | | COMBINE_EQS: (686), (3007) imply:
% 72.47/10.94 | | | | | | | | | | | | | | (3008) all_4_0 = e0
% 72.47/10.94 | | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | | REDUCE: (2967), (3008) imply:
% 72.47/10.94 | | | | | | | | | | | | | | (3009) $false
% 72.47/10.94 | | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | | CLOSE: (3009) is inconsistent.
% 72.47/10.94 | | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | End of split
% 72.47/10.94 | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | End of split
% 72.47/10.94 | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | End of split
% 72.47/10.94 | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | Case 2:
% 72.47/10.94 | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | (3010) all_32_0 = e0
% 72.47/10.94 | | | | | | | | | | | (3011) ~ (all_32_1 = e2)
% 72.47/10.94 | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | COMBINE_EQS: (595), (3010) imply:
% 72.47/10.94 | | | | | | | | | | | (3012) all_4_0 = e0
% 72.47/10.94 | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | REDUCE: (634), (3011) imply:
% 72.47/10.94 | | | | | | | | | | | (3013) ~ (all_4_1 = e2)
% 72.47/10.94 | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | REDUCE: (719), (3012) imply:
% 72.47/10.94 | | | | | | | | | | | (3014) ~ (all_28_0 = e0)
% 72.47/10.94 | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | REDUCE: (709), (3012) imply:
% 72.47/10.94 | | | | | | | | | | | (3015) ~ (all_6_0 = e0)
% 72.47/10.94 | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | REDUCE: (700), (3012) imply:
% 72.47/10.94 | | | | | | | | | | | (3016) ~ (all_4_1 = e0)
% 72.47/10.94 | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | SIMP: (3016) implies:
% 72.47/10.94 | | | | | | | | | | | (3017) ~ (all_4_1 = e0)
% 72.47/10.94 | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | BETA: splitting (163) gives:
% 72.47/10.94 | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | Case 1:
% 72.47/10.94 | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | (3018) (all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 &
% 72.47/10.94 | | | | | | | | | | | | all_56_3 = e3) | (all_56_0 = e2 & all_56_1 = e2
% 72.47/10.94 | | | | | | | | | | | | & all_56_2 = e2 & all_56_3 = e2)
% 72.47/10.94 | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | BETA: splitting (3018) gives:
% 72.47/10.94 | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | Case 1:
% 72.47/10.94 | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | (3019) all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 &
% 72.47/10.94 | | | | | | | | | | | | | all_56_3 = e3
% 72.47/10.94 | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | REF_CLOSE: (679), (2946), (3019) are inconsistent by
% 72.47/10.94 | | | | | | | | | | | | | sub-proof #73.
% 72.47/10.94 | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | Case 2:
% 72.47/10.94 | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | (3020) all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 &
% 72.47/10.94 | | | | | | | | | | | | | all_56_3 = e2
% 72.47/10.94 | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | REF_CLOSE: (559), (3013), (3020) are inconsistent by
% 72.47/10.94 | | | | | | | | | | | | | sub-proof #72.
% 72.47/10.94 | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | End of split
% 72.47/10.94 | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | Case 2:
% 72.47/10.94 | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | (3021) (all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 &
% 72.47/10.94 | | | | | | | | | | | | all_56_3 = e1) | (all_56_0 = e0 & all_56_1 = e0
% 72.47/10.94 | | | | | | | | | | | | & all_56_2 = e0 & all_56_3 = e0)
% 72.47/10.94 | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | BETA: splitting (3021) gives:
% 72.47/10.94 | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | Case 1:
% 72.47/10.94 | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | (3022) all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 &
% 72.47/10.94 | | | | | | | | | | | | | all_56_3 = e1
% 72.47/10.94 | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | ALPHA: (3022) implies:
% 72.47/10.94 | | | | | | | | | | | | | (3023) all_56_3 = e1
% 72.47/10.94 | | | | | | | | | | | | | (3024) all_56_0 = e1
% 72.47/10.94 | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | COMBINE_EQS: (559), (3024) imply:
% 72.47/10.94 | | | | | | | | | | | | | (3025) all_4_1 = e1
% 72.47/10.94 | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | SIMP: (3025) implies:
% 72.47/10.94 | | | | | | | | | | | | | (3026) all_4_1 = e1
% 72.47/10.94 | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | COMBINE_EQS: (679), (3023) imply:
% 72.47/10.94 | | | | | | | | | | | | | (3027) all_8_1 = e1
% 72.47/10.94 | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | SIMP: (3027) implies:
% 72.47/10.94 | | | | | | | | | | | | | (3028) all_8_1 = e1
% 72.47/10.94 | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | COMBINE_EQS: (674), (3028) imply:
% 72.47/10.94 | | | | | | | | | | | | | (3029) all_36_1 = e1
% 72.47/10.94 | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | REDUCE: (708), (3026) imply:
% 72.47/10.94 | | | | | | | | | | | | | (3030) ~ (all_36_0 = e1)
% 72.47/10.94 | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | REDUCE: (702), (3026) imply:
% 72.47/10.94 | | | | | | | | | | | | | (3031) ~ (all_28_0 = e1)
% 72.47/10.94 | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | REDUCE: (763), (3028) imply:
% 72.47/10.94 | | | | | | | | | | | | | (3032) ~ (all_22_0 = e1)
% 72.47/10.94 | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | BETA: splitting (113) gives:
% 72.47/10.94 | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | Case 1:
% 72.47/10.94 | | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | | (3033) ~ (all_36_0 = e2)
% 72.47/10.94 | | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | | BETA: splitting (270) gives:
% 72.47/10.94 | | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | | Case 1:
% 72.47/10.94 | | | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | | | (3034) all_64_12 = e3
% 72.47/10.94 | | | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | | | COMBINE_EQS: (684), (3034) imply:
% 72.47/10.94 | | | | | | | | | | | | | | | (3035) all_28_0 = e3
% 72.47/10.94 | | | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | | | SIMP: (3035) implies:
% 72.47/10.94 | | | | | | | | | | | | | | | (3036) all_28_0 = e3
% 72.47/10.94 | | | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | | | REDUCE: (711), (3036) imply:
% 72.47/10.94 | | | | | | | | | | | | | | | (3037) ~ (all_6_0 = e3)
% 72.47/10.94 | | | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | | | SIMP: (3037) implies:
% 72.47/10.94 | | | | | | | | | | | | | | | (3038) ~ (all_6_0 = e3)
% 72.47/10.94 | | | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | | | REF_CLOSE: (274), (277), (278), (529), (687), (689), (717),
% 72.47/10.94 | | | | | | | | | | | | | | | (760), (904), (2942), (2943), (3015), (3030),
% 72.47/10.94 | | | | | | | | | | | | | | | (3032), (3033), (3038) are inconsistent by
% 72.47/10.94 | | | | | | | | | | | | | | | sub-proof #1.
% 72.47/10.94 | | | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | | Case 2:
% 72.47/10.94 | | | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | | | (3039) all_64_12 = e2 | all_64_12 = e1 | all_64_12 = e0
% 72.47/10.94 | | | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | | | REF_CLOSE: (684), (2965), (3014), (3031), (3039) are
% 72.47/10.94 | | | | | | | | | | | | | | | inconsistent by sub-proof #84.
% 72.47/10.94 | | | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | | End of split
% 72.47/10.94 | | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | Case 2:
% 72.47/10.94 | | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | | (3040) ~ (all_36_1 = e1)
% 72.47/10.94 | | | | | | | | | | | | | |
% 72.47/10.94 | | | | | | | | | | | | | | REDUCE: (3029), (3040) imply:
% 72.47/10.95 | | | | | | | | | | | | | | (3041) $false
% 72.47/10.95 | | | | | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | | | | | CLOSE: (3041) is inconsistent.
% 72.47/10.95 | | | | | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | | | | End of split
% 72.47/10.95 | | | | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | | | Case 2:
% 72.47/10.95 | | | | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | | | | (3042) all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 &
% 72.47/10.95 | | | | | | | | | | | | | all_56_3 = e0
% 72.47/10.95 | | | | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | | | | REF_CLOSE: (559), (3017), (3042) are inconsistent by
% 72.47/10.95 | | | | | | | | | | | | | sub-proof #77.
% 72.47/10.95 | | | | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | | | End of split
% 72.47/10.95 | | | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | | End of split
% 72.47/10.95 | | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | End of split
% 72.47/10.95 | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | Case 2:
% 72.47/10.95 | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | (3043) all_28_0 = e2
% 72.47/10.95 | | | | | | | | | | (3044) ~ (all_28_1 = e1)
% 72.47/10.95 | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | REDUCE: (726), (3043) imply:
% 72.47/10.95 | | | | | | | | | | (3045) ~ (all_20_0 = e2)
% 72.47/10.95 | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | SIMP: (3045) implies:
% 72.47/10.95 | | | | | | | | | | (3046) ~ (all_20_0 = e2)
% 72.47/10.95 | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | REDUCE: (719), (3043) imply:
% 72.47/10.95 | | | | | | | | | | (3047) ~ (all_4_0 = e2)
% 72.47/10.95 | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | REDUCE: (702), (3043) imply:
% 72.47/10.95 | | | | | | | | | | (3048) ~ (all_4_1 = e2)
% 72.47/10.95 | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | SIMP: (3048) implies:
% 72.47/10.95 | | | | | | | | | | (3049) ~ (all_4_1 = e2)
% 72.47/10.95 | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | REDUCE: (663), (3044) imply:
% 72.47/10.95 | | | | | | | | | | (3050) ~ (all_4_1 = e1)
% 72.47/10.95 | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | BETA: splitting (163) gives:
% 72.47/10.95 | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | Case 1:
% 72.47/10.95 | | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | | (3051) (all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 &
% 72.47/10.95 | | | | | | | | | | | all_56_3 = e3) | (all_56_0 = e2 & all_56_1 = e2
% 72.47/10.95 | | | | | | | | | | | & all_56_2 = e2 & all_56_3 = e2)
% 72.47/10.95 | | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | | BETA: splitting (3051) gives:
% 72.47/10.95 | | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | | Case 1:
% 72.47/10.95 | | | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | | | (3052) all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 &
% 72.47/10.95 | | | | | | | | | | | | all_56_3 = e3
% 72.47/10.95 | | | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | | | REF_CLOSE: (679), (2946), (3052) are inconsistent by
% 72.47/10.95 | | | | | | | | | | | | sub-proof #73.
% 72.47/10.95 | | | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | | Case 2:
% 72.47/10.95 | | | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | | | (3053) all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 &
% 72.47/10.95 | | | | | | | | | | | | all_56_3 = e2
% 72.47/10.95 | | | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | | | REF_CLOSE: (559), (3049), (3053) are inconsistent by
% 72.47/10.95 | | | | | | | | | | | | sub-proof #72.
% 72.47/10.95 | | | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | | End of split
% 72.47/10.95 | | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | Case 2:
% 72.47/10.95 | | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | | (3054) (all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 &
% 72.47/10.95 | | | | | | | | | | | all_56_3 = e1) | (all_56_0 = e0 & all_56_1 = e0
% 72.47/10.95 | | | | | | | | | | | & all_56_2 = e0 & all_56_3 = e0)
% 72.47/10.95 | | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | | BETA: splitting (3054) gives:
% 72.47/10.95 | | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | | Case 1:
% 72.47/10.95 | | | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | | | (3055) all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 &
% 72.47/10.95 | | | | | | | | | | | | all_56_3 = e1
% 72.47/10.95 | | | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | | | REF_CLOSE: (559), (3050), (3055) are inconsistent by
% 72.47/10.95 | | | | | | | | | | | | sub-proof #65.
% 72.47/10.95 | | | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | | Case 2:
% 72.47/10.95 | | | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | | | (3056) all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 &
% 72.47/10.95 | | | | | | | | | | | | all_56_3 = e0
% 72.47/10.95 | | | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | | | ALPHA: (3056) implies:
% 72.47/10.95 | | | | | | | | | | | | (3057) all_56_3 = e0
% 72.47/10.95 | | | | | | | | | | | | (3058) all_56_0 = e0
% 72.47/10.95 | | | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | | | COMBINE_EQS: (559), (3058) imply:
% 72.47/10.95 | | | | | | | | | | | | (3059) all_4_1 = e0
% 72.47/10.95 | | | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | | | SIMP: (3059) implies:
% 72.47/10.95 | | | | | | | | | | | | (3060) all_4_1 = e0
% 72.47/10.95 | | | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | | | COMBINE_EQS: (679), (3057) imply:
% 72.47/10.95 | | | | | | | | | | | | (3061) all_8_1 = e0
% 72.47/10.95 | | | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | | | SIMP: (3061) implies:
% 72.47/10.95 | | | | | | | | | | | | (3062) all_8_1 = e0
% 72.47/10.95 | | | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | | | REDUCE: (749), (3062) imply:
% 72.47/10.95 | | | | | | | | | | | | (3063) ~ (all_20_0 = e0)
% 72.47/10.95 | | | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | | | REDUCE: (700), (3060) imply:
% 72.47/10.95 | | | | | | | | | | | | (3064) ~ (all_4_0 = e0)
% 72.47/10.95 | | | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | | | REF_CLOSE: (45), (47), (269), (273), (280), (525), (550),
% 72.47/10.95 | | | | | | | | | | | | (686), (733), (903), (2948), (2957), (2959),
% 72.47/10.95 | | | | | | | | | | | | (2962), (2964), (3046), (3063), (3064) are
% 72.47/10.95 | | | | | | | | | | | | inconsistent by sub-proof #2.
% 72.47/10.95 | | | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | | End of split
% 72.47/10.95 | | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | End of split
% 72.47/10.95 | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | End of split
% 72.47/10.95 | | | | | | | | |
% 72.47/10.95 | | | | | | | | Case 2:
% 72.47/10.95 | | | | | | | | |
% 72.47/10.95 | | | | | | | | | (3065) all_26_0 = e1
% 72.47/10.95 | | | | | | | | | (3066) ~ (all_26_1 = e0)
% 72.47/10.95 | | | | | | | | |
% 72.47/10.95 | | | | | | | | | COMBINE_EQS: (598), (3065) imply:
% 72.47/10.95 | | | | | | | | | (3067) all_14_0 = e1
% 72.47/10.95 | | | | | | | | |
% 72.47/10.95 | | | | | | | | | REDUCE: (672), (3066) imply:
% 72.47/10.95 | | | | | | | | | (3068) ~ (all_10_1 = e0)
% 72.47/10.95 | | | | | | | | |
% 72.47/10.95 | | | | | | | | | REDUCE: (704), (3067) imply:
% 72.47/10.95 | | | | | | | | | (3069) ~ (all_4_1 = e1)
% 72.47/10.95 | | | | | | | | |
% 72.47/10.95 | | | | | | | | | SIMP: (3069) implies:
% 72.47/10.95 | | | | | | | | | (3070) ~ (all_4_1 = e1)
% 72.47/10.95 | | | | | | | | |
% 72.47/10.95 | | | | | | | | | BETA: splitting (163) gives:
% 72.47/10.95 | | | | | | | | |
% 72.47/10.95 | | | | | | | | | Case 1:
% 72.47/10.95 | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | (3071) (all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 &
% 72.47/10.95 | | | | | | | | | | all_56_3 = e3) | (all_56_0 = e2 & all_56_1 = e2
% 72.47/10.95 | | | | | | | | | | & all_56_2 = e2 & all_56_3 = e2)
% 72.47/10.95 | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | REF_CLOSE: (679), (2941), (2946), (3071) are inconsistent by
% 72.47/10.95 | | | | | | | | | | sub-proof #44.
% 72.47/10.95 | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | Case 2:
% 72.47/10.95 | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | (3072) (all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 &
% 72.47/10.95 | | | | | | | | | | all_56_3 = e1) | (all_56_0 = e0 & all_56_1 = e0
% 72.47/10.95 | | | | | | | | | | & all_56_2 = e0 & all_56_3 = e0)
% 72.47/10.95 | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | BETA: splitting (3072) gives:
% 72.47/10.95 | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | Case 1:
% 72.47/10.95 | | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | | (3073) all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 &
% 72.47/10.95 | | | | | | | | | | | all_56_3 = e1
% 72.47/10.95 | | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | | REF_CLOSE: (559), (3070), (3073) are inconsistent by
% 72.47/10.95 | | | | | | | | | | | sub-proof #65.
% 72.47/10.95 | | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | Case 2:
% 72.47/10.95 | | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | | (3074) all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 &
% 72.47/10.95 | | | | | | | | | | | all_56_3 = e0
% 72.47/10.95 | | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | | REF_CLOSE: (600), (3068), (3074) are inconsistent by
% 72.47/10.95 | | | | | | | | | | | sub-proof #29.
% 72.47/10.95 | | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | End of split
% 72.47/10.95 | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | End of split
% 72.47/10.95 | | | | | | | | |
% 72.47/10.95 | | | | | | | | End of split
% 72.47/10.95 | | | | | | | |
% 72.47/10.95 | | | | | | | Case 2:
% 72.47/10.95 | | | | | | | |
% 72.47/10.95 | | | | | | | | (3075) all_20_0 = e1
% 72.47/10.95 | | | | | | | |
% 72.47/10.95 | | | | | | | | REDUCE: (733), (3075) imply:
% 72.47/10.95 | | | | | | | | (3076) ~ (all_14_0 = e1)
% 72.47/10.95 | | | | | | | |
% 72.47/10.95 | | | | | | | | SIMP: (3076) implies:
% 72.47/10.95 | | | | | | | | (3077) ~ (all_14_0 = e1)
% 72.47/10.95 | | | | | | | |
% 72.47/10.95 | | | | | | | | REDUCE: (749), (3075) imply:
% 72.47/10.95 | | | | | | | | (3078) ~ (all_8_1 = e1)
% 72.47/10.95 | | | | | | | |
% 72.47/10.95 | | | | | | | | SIMP: (3078) implies:
% 72.47/10.95 | | | | | | | | (3079) ~ (all_8_1 = e1)
% 72.47/10.95 | | | | | | | |
% 72.47/10.95 | | | | | | | | REDUCE: (823), (3075) imply:
% 72.47/10.95 | | | | | | | | (3080) op(e1, e3) = all_66_57
% 72.47/10.95 | | | | | | | |
% 72.47/10.95 | | | | | | | | REDUCE: (826), (3075) imply:
% 72.47/10.95 | | | | | | | | (3081) op(e1, e0) = all_66_63
% 72.47/10.95 | | | | | | | |
% 72.47/10.95 | | | | | | | | REDUCE: (848), (3075) imply:
% 72.47/10.95 | | | | | | | | (3082) op(e3, e1) = all_66_13
% 72.47/10.95 | | | | | | | |
% 72.47/10.95 | | | | | | | | REDUCE: (865), (3075) imply:
% 72.47/10.95 | | | | | | | | (3083) op(e2, e1) = all_66_29
% 72.47/10.95 | | | | | | | |
% 72.47/10.95 | | | | | | | | REDUCE: (899), (3075) imply:
% 72.47/10.95 | | | | | | | | (3084) op(e0, e1) = all_66_75
% 72.47/10.95 | | | | | | | |
% 72.47/10.95 | | | | | | | | BETA: splitting (163) gives:
% 72.47/10.95 | | | | | | | |
% 72.47/10.95 | | | | | | | | Case 1:
% 72.47/10.95 | | | | | | | | |
% 72.47/10.95 | | | | | | | | | (3085) (all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 &
% 72.47/10.95 | | | | | | | | | all_56_3 = e3) | (all_56_0 = e2 & all_56_1 = e2 &
% 72.47/10.95 | | | | | | | | | all_56_2 = e2 & all_56_3 = e2)
% 72.47/10.95 | | | | | | | | |
% 72.47/10.95 | | | | | | | | | BETA: splitting (3085) gives:
% 72.47/10.95 | | | | | | | | |
% 72.47/10.95 | | | | | | | | | Case 1:
% 72.47/10.95 | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | (3086) all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 &
% 72.47/10.95 | | | | | | | | | | all_56_3 = e3
% 72.47/10.95 | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | REF_CLOSE: (679), (2946), (3086) are inconsistent by
% 72.47/10.95 | | | | | | | | | | sub-proof #73.
% 72.47/10.95 | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | Case 2:
% 72.47/10.95 | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | (3087) all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 &
% 72.47/10.95 | | | | | | | | | | all_56_3 = e2
% 72.47/10.95 | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | REF_CLOSE: (679), (2941), (3087) are inconsistent by
% 72.47/10.95 | | | | | | | | | | sub-proof #28.
% 72.47/10.95 | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | End of split
% 72.47/10.95 | | | | | | | | |
% 72.47/10.95 | | | | | | | | Case 2:
% 72.47/10.95 | | | | | | | | |
% 72.47/10.95 | | | | | | | | | (3088) (all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 &
% 72.47/10.95 | | | | | | | | | all_56_3 = e1) | (all_56_0 = e0 & all_56_1 = e0 &
% 72.47/10.95 | | | | | | | | | all_56_2 = e0 & all_56_3 = e0)
% 72.47/10.95 | | | | | | | | |
% 72.47/10.95 | | | | | | | | | BETA: splitting (3088) gives:
% 72.47/10.95 | | | | | | | | |
% 72.47/10.95 | | | | | | | | | Case 1:
% 72.47/10.95 | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | (3089) all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 &
% 72.47/10.95 | | | | | | | | | | all_56_3 = e1
% 72.47/10.95 | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | REF_CLOSE: (679), (3079), (3089) are inconsistent by
% 72.47/10.95 | | | | | | | | | | sub-proof #54.
% 72.47/10.95 | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | Case 2:
% 72.47/10.95 | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | (3090) all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 &
% 72.47/10.95 | | | | | | | | | | all_56_3 = e0
% 72.47/10.95 | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | ALPHA: (3090) implies:
% 72.47/10.95 | | | | | | | | | | (3091) all_56_3 = e0
% 72.47/10.95 | | | | | | | | | | (3092) all_56_2 = e0
% 72.47/10.95 | | | | | | | | | | (3093) all_56_1 = e0
% 72.47/10.95 | | | | | | | | | | (3094) all_56_0 = e0
% 72.47/10.95 | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | COMBINE_EQS: (559), (3094) imply:
% 72.47/10.95 | | | | | | | | | | (3095) all_4_1 = e0
% 72.47/10.95 | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | SIMP: (3095) implies:
% 72.47/10.95 | | | | | | | | | | (3096) all_4_1 = e0
% 72.47/10.95 | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | COMBINE_EQS: (600), (3093) imply:
% 72.47/10.95 | | | | | | | | | | (3097) all_10_1 = e0
% 72.47/10.95 | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | SIMP: (3097) implies:
% 72.47/10.95 | | | | | | | | | | (3098) all_10_1 = e0
% 72.47/10.95 | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | COMBINE_EQS: (680), (3092) imply:
% 72.47/10.95 | | | | | | | | | | (3099) all_12_1 = e0
% 72.47/10.95 | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | SIMP: (3099) implies:
% 72.47/10.95 | | | | | | | | | | (3100) all_12_1 = e0
% 72.47/10.95 | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | COMBINE_EQS: (679), (3091) imply:
% 72.47/10.95 | | | | | | | | | | (3101) all_8_1 = e0
% 72.47/10.95 | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | SIMP: (3101) implies:
% 72.47/10.95 | | | | | | | | | | (3102) all_8_1 = e0
% 72.47/10.95 | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | COMBINE_EQS: (677), (3100) imply:
% 72.47/10.95 | | | | | | | | | | (3103) all_48_1 = e0
% 72.47/10.95 | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | REDUCE: (759), (3102) imply:
% 72.47/10.95 | | | | | | | | | | (3104) ~ (all_42_0 = e0)
% 72.47/10.95 | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | REDUCE: (706), (3096) imply:
% 72.47/10.95 | | | | | | | | | | (3105) ~ (all_40_0 = e0)
% 72.47/10.95 | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | REDUCE: (708), (3096) imply:
% 72.47/10.95 | | | | | | | | | | (3106) ~ (all_36_0 = e0)
% 72.47/10.95 | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | REDUCE: (702), (3096) imply:
% 72.47/10.95 | | | | | | | | | | (3107) ~ (all_28_0 = e0)
% 72.47/10.95 | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | REDUCE: (763), (3102) imply:
% 72.47/10.95 | | | | | | | | | | (3108) ~ (all_22_0 = e0)
% 72.47/10.95 | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | REDUCE: (741), (3098) imply:
% 72.47/10.95 | | | | | | | | | | (3109) ~ (all_12_0 = e0)
% 72.47/10.95 | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | REDUCE: (698), (3096) imply:
% 72.47/10.95 | | | | | | | | | | (3110) ~ (all_6_0 = e0)
% 72.47/10.95 | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | REDUCE: (700), (3096) imply:
% 72.47/10.95 | | | | | | | | | | (3111) ~ (all_4_0 = e0)
% 72.47/10.95 | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | REDUCE: (811), (3100) imply:
% 72.47/10.95 | | | | | | | | | | (3112) op(e0, e3) = all_66_40
% 72.47/10.95 | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | REDUCE: (812), (3100) imply:
% 72.47/10.95 | | | | | | | | | | (3113) op(e0, e2) = all_66_41
% 72.47/10.95 | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | REDUCE: (813), (3100) imply:
% 72.47/10.95 | | | | | | | | | | (3114) op(e0, e1) = all_66_42
% 72.47/10.95 | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | REDUCE: (791), (3098) imply:
% 72.47/10.95 | | | | | | | | | | (3115) op(e0, e3) = all_66_20
% 72.47/10.95 | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | REDUCE: (792), (3098) imply:
% 72.47/10.95 | | | | | | | | | | (3116) op(e0, e2) = all_66_21
% 72.47/10.95 | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | REDUCE: (793), (3098) imply:
% 72.47/10.95 | | | | | | | | | | (3117) op(e0, e1) = all_66_22
% 72.47/10.95 | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | REDUCE: (794), (3098) imply:
% 72.47/10.95 | | | | | | | | | | (3118) op(e0, e0) = all_66_23
% 72.47/10.95 | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | REDUCE: (831), (3102) imply:
% 72.47/10.95 | | | | | | | | | | (3119) op(e0, e3) = all_66_73
% 72.47/10.95 | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | REDUCE: (833), (3102) imply:
% 72.47/10.95 | | | | | | | | | | (3120) op(e0, e1) = all_66_77
% 72.47/10.95 | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | REDUCE: (771), (3096) imply:
% 72.47/10.95 | | | | | | | | | | (3121) op(e0, e3) = all_66_0
% 72.47/10.95 | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | REDUCE: (772), (3096) imply:
% 72.47/10.95 | | | | | | | | | | (3122) op(e0, e2) = all_66_1
% 72.47/10.95 | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | REDUCE: (835), (3096) imply:
% 72.47/10.95 | | | | | | | | | | (3123) op(e3, e0) = all_66_0
% 72.47/10.95 | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | REDUCE: (862), (3100) imply:
% 72.47/10.95 | | | | | | | | | | (3124) op(e2, e0) = all_66_26
% 72.47/10.95 | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | REDUCE: (857), (3098) imply:
% 72.47/10.95 | | | | | | | | | | (3125) op(e2, e0) = all_66_21
% 72.47/10.95 | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | REDUCE: (867), (3102) imply:
% 72.47/10.95 | | | | | | | | | | (3126) op(e2, e0) = all_66_31
% 72.47/10.95 | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | REDUCE: (60), (3098) imply:
% 72.47/10.95 | | | | | | | | | | (3127) op(e2, e2) = e0
% 72.47/10.95 | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | REDUCE: (879), (3100) imply:
% 72.47/10.95 | | | | | | | | | | (3128) op(e1, e0) = all_66_42
% 72.47/10.95 | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | REDUCE: (874), (3098) imply:
% 72.47/10.95 | | | | | | | | | | (3129) op(e1, e0) = all_66_37
% 72.47/10.95 | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | REDUCE: (891), (3098) imply:
% 72.47/10.95 | | | | | | | | | | (3130) op(e0, e0) = all_66_59
% 72.47/10.95 | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | BETA: splitting (137) gives:
% 72.47/10.95 | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | Case 1:
% 72.47/10.95 | | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | | (3131) ~ (all_48_0 = e2)
% 72.47/10.95 | | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | | REDUCE: (605), (3131) imply:
% 72.47/10.95 | | | | | | | | | | | (3132) ~ (all_40_0 = e2)
% 72.47/10.95 | | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | | BETA: splitting (273) gives:
% 72.47/10.95 | | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | | Case 1:
% 72.47/10.95 | | | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | | | (3133) all_64_8 = e3
% 72.47/10.95 | | | | | | | | | | | |
% 72.47/10.95 | | | | | | | | | | | | COMBINE_EQS: (686), (3133) imply:
% 72.47/10.95 | | | | | | | | | | | | (3134) all_4_0 = e3
% 72.47/10.95 | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | REDUCE: (2948), (3134) imply:
% 72.47/10.96 | | | | | | | | | | | | (3135) $false
% 72.47/10.96 | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | CLOSE: (3135) is inconsistent.
% 72.47/10.96 | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | Case 2:
% 72.47/10.96 | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | (3136) all_64_8 = e2 | all_64_8 = e1 | all_64_8 = e0
% 72.47/10.96 | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | BETA: splitting (3136) gives:
% 72.47/10.96 | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | Case 1:
% 72.47/10.96 | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | (3137) all_64_8 = e2
% 72.47/10.96 | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | COMBINE_EQS: (686), (3137) imply:
% 72.47/10.96 | | | | | | | | | | | | | (3138) all_4_0 = e2
% 72.47/10.96 | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | REDUCE: (903), (3138) imply:
% 72.47/10.96 | | | | | | | | | | | | | (3139) $false
% 72.47/10.96 | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | CLOSE: (3139) is inconsistent.
% 72.47/10.96 | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | Case 2:
% 72.47/10.96 | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | (3140) all_64_8 = e1 | all_64_8 = e0
% 72.47/10.96 | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | BETA: splitting (3140) gives:
% 72.47/10.96 | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | Case 1:
% 72.47/10.96 | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | (3141) all_64_8 = e1
% 72.47/10.96 | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | COMBINE_EQS: (686), (3141) imply:
% 72.47/10.96 | | | | | | | | | | | | | | (3142) all_4_0 = e1
% 72.47/10.96 | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | REDUCE: (719), (3142) imply:
% 72.47/10.96 | | | | | | | | | | | | | | (3143) ~ (all_28_0 = e1)
% 72.47/10.96 | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | REDUCE: (721), (3142) imply:
% 72.47/10.96 | | | | | | | | | | | | | | (3144) ~ (all_10_0 = e1)
% 72.47/10.96 | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | REDUCE: (804), (3142) imply:
% 72.47/10.96 | | | | | | | | | | | | | | (3145) op(e1, e2) = all_66_33
% 72.47/10.96 | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | REDUCE: (806), (3142) imply:
% 72.47/10.96 | | | | | | | | | | | | | | (3146) op(e1, e0) = all_66_35
% 72.47/10.96 | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | REDUCE: (843), (3142) imply:
% 72.47/10.96 | | | | | | | | | | | | | | (3147) op(e3, e1) = all_66_8
% 72.47/10.96 | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | REDUCE: (860), (3142) imply:
% 72.47/10.96 | | | | | | | | | | | | | | (3148) op(e2, e1) = all_66_24
% 72.47/10.96 | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | REDUCE: (894), (3142) imply:
% 72.47/10.96 | | | | | | | | | | | | | | (3149) op(e0, e1) = all_66_65
% 72.47/10.96 | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | BETA: splitting (272) gives:
% 72.47/10.96 | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | Case 1:
% 72.47/10.96 | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | (3150) all_64_9 = e3
% 72.47/10.96 | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | COMBINE_EQS: (542), (3150) imply:
% 72.47/10.96 | | | | | | | | | | | | | | | (3151) all_10_0 = e3
% 72.47/10.96 | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | REDUCE: (2944), (3151) imply:
% 72.47/10.96 | | | | | | | | | | | | | | | (3152) $false
% 72.47/10.96 | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | CLOSE: (3152) is inconsistent.
% 72.47/10.96 | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | Case 2:
% 72.47/10.96 | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | (3153) all_64_9 = e2 | all_64_9 = e1 | all_64_9 = e0
% 72.47/10.96 | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | BETA: splitting (3153) gives:
% 72.47/10.96 | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | Case 1:
% 72.47/10.96 | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | (3154) all_64_9 = e2
% 72.47/10.96 | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | COMBINE_EQS: (542), (3154) imply:
% 72.47/10.96 | | | | | | | | | | | | | | | | (3155) all_10_0 = e2
% 72.47/10.96 | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | REDUCE: (731), (3155) imply:
% 72.47/10.96 | | | | | | | | | | | | | | | | (3156) ~ (all_14_0 = e2)
% 72.47/10.96 | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | REDUCE: (807), (3155) imply:
% 72.47/10.96 | | | | | | | | | | | | | | | | (3157) op(e2, e3) = all_66_36
% 72.47/10.96 | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | REDUCE: (808), (3155) imply:
% 72.47/10.96 | | | | | | | | | | | | | | | | (3158) op(e2, e2) = all_66_37
% 72.47/10.96 | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | REDUCE: (810), (3155) imply:
% 72.47/10.96 | | | | | | | | | | | | | | | | (3159) op(e2, e0) = all_66_39
% 72.47/10.96 | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | REDUCE: (844), (3155) imply:
% 72.47/10.96 | | | | | | | | | | | | | | | | (3160) op(e3, e2) = all_66_9
% 72.47/10.96 | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | REDUCE: (878), (3155) imply:
% 72.47/10.96 | | | | | | | | | | | | | | | | (3161) op(e1, e2) = all_66_41
% 72.47/10.96 | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | REDUCE: (895), (3155) imply:
% 72.47/10.96 | | | | | | | | | | | | | | | | (3162) op(e0, e2) = all_66_67
% 72.47/10.96 | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | BETA: splitting (280) gives:
% 72.47/10.96 | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | Case 1:
% 72.47/10.96 | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | (3163) all_64_1 = e3
% 72.47/10.96 | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | COMBINE_EQS: (525), (3163) imply:
% 72.47/10.96 | | | | | | | | | | | | | | | | | (3164) all_14_0 = e3
% 72.47/10.96 | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | REDUCE: (735), (3164) imply:
% 72.47/10.96 | | | | | | | | | | | | | | | | | (3165) ~ (all_40_0 = e3)
% 72.47/10.96 | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | REDUCE: (870), (3164) imply:
% 72.47/10.96 | | | | | | | | | | | | | | | | | (3166) op(e1, e3) = all_66_33
% 72.47/10.96 | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | REDUCE: (887), (3164) imply:
% 72.47/10.96 | | | | | | | | | | | | | | | | | (3167) op(e0, e3) = all_66_51
% 72.47/10.96 | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | BETA: splitting (279) gives:
% 72.47/10.96 | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | Case 1:
% 72.47/10.96 | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | (3168) all_64_2 = e3
% 72.47/10.96 | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (3168) imply:
% 72.47/10.96 | | | | | | | | | | | | | | | | | | (3169) all_40_0 = e3
% 72.47/10.96 | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | REDUCE: (3165), (3169) imply:
% 72.47/10.96 | | | | | | | | | | | | | | | | | | (3170) $false
% 72.47/10.96 | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | CLOSE: (3170) is inconsistent.
% 72.47/10.96 | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | Case 2:
% 72.47/10.96 | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | (3171) all_64_2 = e2 | all_64_2 = e1 | all_64_2 = e0
% 72.47/10.96 | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | BETA: splitting (3171) gives:
% 72.47/10.96 | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | Case 1:
% 72.47/10.96 | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | (3172) all_64_2 = e2
% 72.47/10.96 | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (3172) imply:
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | (3173) all_40_0 = e2
% 72.47/10.96 | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | REDUCE: (3132), (3173) imply:
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | (3174) $false
% 72.47/10.96 | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | CLOSE: (3174) is inconsistent.
% 72.47/10.96 | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | Case 2:
% 72.47/10.96 | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | (3175) all_64_2 = e1 | all_64_2 = e0
% 72.47/10.96 | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | BETA: splitting (3175) gives:
% 72.47/10.96 | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | Case 1:
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | (3176) all_64_2 = e1
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (3176) imply:
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | (3177) all_40_0 = e1
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | REDUCE: (752), (3177) imply:
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | (3178) ~ (all_42_0 = e1)
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | REDUCE: (753), (3177) imply:
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | (3179) ~ (all_36_0 = e1)
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | SIMP: (3179) implies:
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | (3180) ~ (all_36_0 = e1)
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | REDUCE: (780), (3177) imply:
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | (3181) op(e1, e2) = all_66_9
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | REDUCE: (837), (3177) imply:
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | (3182) op(e3, e1) = all_66_2
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | REDUCE: (854), (3177) imply:
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | (3183) op(e2, e1) = all_66_18
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | REDUCE: (871), (3177) imply:
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | (3184) op(e1, e1) = all_66_34
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | REDUCE: (888), (3177) imply:
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | (3185) op(e0, e1) = all_66_53
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | BETA: splitting (278) gives:
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | (3186) all_64_3 = e3
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (529), (3186) imply:
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | (3187) all_36_0 = e3
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | REDUCE: (2942), (3187) imply:
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | (3188) $false
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | CLOSE: (3188) is inconsistent.
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | (3189) all_64_3 = e2 | all_64_3 = e1 | all_64_3 = e0
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3189) gives:
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | (3190) all_64_3 = e2
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (529), (3190) imply:
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | (3191) all_36_0 = e2
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (760), (3191) imply:
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | (3192) ~ (all_22_0 = e2)
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | SIMP: (3192) implies:
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | (3193) ~ (all_22_0 = e2)
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (783), (3191) imply:
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | (3194) op(e2, e3) = all_66_12
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (838), (3191) imply:
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | (3195) op(e3, e2) = all_66_3
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (855), (3191) imply:
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | (3196) op(e2, e2) = all_66_19
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (274) gives:
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | (3197) all_64_7 = e3
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (687), (3197) imply:
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | (3198) all_22_0 = e3
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2943), (3198) imply:
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | (3199) $false
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3199) is inconsistent.
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | (3200) all_64_7 = e2 | all_64_7 = e1 | all_64_7 = e0
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (275) gives:
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | (3201) all_64_6 = e3
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (688), (2958), (3201) are inconsistent by
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #95.
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | (3202) all_64_6 = e2 | all_64_6 = e1 | all_64_6 = e0
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3200) gives:
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | (3203) all_64_7 = e2
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (687), (3203) imply:
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | (3204) all_22_0 = e2
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3193), (3204) imply:
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | (3205) $false
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3205) is inconsistent.
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | (3206) all_64_7 = e1 | all_64_7 = e0
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3206) gives:
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (3207) all_64_7 = e1
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (687), (3207) imply:
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (3208) all_22_0 = e1
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (758), (3208) imply:
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (3209) ~ (all_12_0 = e1)
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3209) implies:
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (3210) ~ (all_12_0 = e1)
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (717), (3208) imply:
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (3211) ~ (all_6_0 = e1)
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3108), (3208) imply:
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (3212) ~ (e1 = e0)
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (800), (3208) imply:
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (3213) op(e1, e2) = all_66_29
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (801), (3208) imply:
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (3214) op(e1, e1) = all_66_30
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (842), (3208) imply:
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (3215) op(e3, e1) = all_66_7
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (859), (3208) imply:
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (3216) op(e2, e1) = all_66_23
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (84), (3208) imply:
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (3217) op(e2, e0) = e1
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (876), (3208) imply:
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (3218) op(e1, e1) = all_66_39
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (893), (3208) imply:
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | (3219) op(e0, e1) = all_66_63
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3202) gives:
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3220) all_64_6 = e2
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (688), (3220) imply:
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3221) all_12_0 = e2
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (3221) imply:
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3222) ~ (all_6_0 = e2)
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3222) implies:
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3223) ~ (all_6_0 = e2)
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (795), (3221) imply:
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3224) op(e2, e3) = all_66_24
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (796), (3221) imply:
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3225) op(e2, e2) = all_66_25
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (797), (3221) imply:
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3226) op(e2, e1) = all_66_26
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (841), (3221) imply:
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3227) op(e3, e2) = all_66_6
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (858), (3221) imply:
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3228) op(e2, e2) = all_66_22
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (875), (3221) imply:
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3229) op(e1, e2) = all_66_38
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (892), (3221) imply:
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3230) op(e0, e2) = all_66_61
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (277) gives:
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3231) all_64_4 = e3
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (689), (3231) imply:
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3232) all_6_0 = e3
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (711), (3232) imply:
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3233) ~ (all_28_0 = e3)
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (788), (3232) imply:
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3234) op(e3, e2) = all_66_17
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (789), (3232) imply:
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3235) op(e3, e1) = all_66_18
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (873), (3232) imply:
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3236) op(e1, e3) = all_66_36
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (270) gives:
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3237) all_64_12 = e3
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (684), (3237) imply:
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3238) all_28_0 = e3
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3233), (3238) imply:
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3239) $false
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3239) is inconsistent.
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3240) all_64_12 = e2 | all_64_12 = e1 | all_64_12 = e0
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3240) gives:
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3241) all_64_12 = e2
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (684), (3241) imply:
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3242) all_28_0 = e2
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (728), (3242) imply:
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3243) ~ (all_42_0 = e2)
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2956), (3242) imply:
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3244) op(all_42_0, e0) = e2
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (819), (3242) imply:
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3245) op(e2, e3) = all_66_49
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.96 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (820), (3242) imply:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3246) op(e2, e2) = all_66_51
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (821), (3242) imply:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3247) op(e2, e1) = all_66_53
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (822), (3242) imply:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3248) op(e2, e0) = all_66_55
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (847), (3242) imply:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3249) op(e3, e2) = all_66_12
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (864), (3242) imply:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3250) op(e2, e2) = all_66_28
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (268) gives:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3251) all_64_14 = e3
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (551), (3251) imply:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3252) all_42_0 = e3
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (829), (3252) imply:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3253) op(e3, e1) = all_66_69
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3244), (3252) imply:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3254) op(e3, e0) = e2
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (866), (3252) imply:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3255) op(e2, e3) = all_66_30
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_59, all_66_23, e0,
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (3118), (3130) gives:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3256) all_66_23 = all_66_59
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_77, all_66_75, e1,
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (3084), (3120) gives:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3257) all_66_75 = all_66_77
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_77, all_66_65, e1,
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (3120), (3149) gives:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3258) all_66_65 = all_66_77
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_65, all_66_63, e1,
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (3149), (3219) gives:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3259) all_66_63 = all_66_65
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_75, all_66_53, e1,
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (3084), (3185) gives:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3260) all_66_53 = all_66_75
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_42, all_66_22, e1,
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (3114), (3117) gives:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3261) all_66_22 = all_66_42
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_65, all_66_22, e1,
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (3117), (3149) gives:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3262) all_66_22 = all_66_65
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_67, all_66_41, e2,
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (3113), (3162) gives:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3263) all_66_41 = all_66_67
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_67, all_66_21, e2,
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (3116), (3162) gives:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3264) all_66_21 = all_66_67
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_21, all_66_1, e2,
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (3116), (3122) gives:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3265) all_66_1 = all_66_21
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_61, all_66_1, e2,
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (3122), (3230) gives:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3266) all_66_1 = all_66_61
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_73, all_66_51, e3,
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (3119), (3167) gives:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3267) all_66_51 = all_66_73
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_51, all_66_40, e3,
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (3112), (3167) gives:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3268) all_66_40 = all_66_51
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_40, all_66_20, e3,
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (3112), (3115) gives:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3269) all_66_20 = all_66_40
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_20, all_66_0, e3,
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (3115), (3121) gives:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3270) all_66_0 = all_66_20
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_63, all_66_37, e0,
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (3081), (3129) gives:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3271) all_66_37 = all_66_63
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with e3, all_66_35, e0, e1,
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2951), (3146) gives:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3272) all_66_35 = e3
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_42, all_66_35, e0,
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (3128), (3146) gives:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3273) all_66_35 = all_66_42
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_39, all_66_34, e1,
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (3184), (3218) gives:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3274) all_66_34 = all_66_39
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_34, all_66_30, e1,
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (3184), (3214) gives:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3275) all_66_30 = all_66_34
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_41, all_66_29, e2,
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (3161), (3213) gives:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3276) all_66_29 = all_66_41
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_33, all_66_9, e2,
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (3145), (3181) gives:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3277) all_66_9 = all_66_33
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_38, all_66_9, e2,
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (3181), (3229) gives:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3278) all_66_9 = all_66_38
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_57, all_66_36, e3,
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (3080), (3236) gives:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3279) all_66_36 = all_66_57
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_36, all_66_33, e3,
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (3166), (3236) gives:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3280) all_66_33 = all_66_36
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_55, all_66_39, e0,
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (3159), (3248) gives:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3281) all_66_39 = all_66_55
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_39, all_66_31, e0,
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (3126), (3159) gives:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3282) all_66_31 = all_66_39
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with e1, all_66_31, e0, e2,
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (3126), (3217) gives:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3283) all_66_31 = e1
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_26, all_66_21, e0,
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (3124), (3125) gives:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3284) all_66_21 = all_66_26
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_26, all_66_24, e1,
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (3148), (3226) gives:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3285) all_66_24 = all_66_26
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_29, all_66_23, e1,
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (3083), (3216) gives:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3286) all_66_23 = all_66_29
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_53, all_66_23, e1,
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (3216), (3247) gives:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3287) all_66_23 = all_66_53
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_29, all_66_18, e1,
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (3083), (3183) gives:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3288) all_66_18 = all_66_29
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_28, all_66_25, e2,
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (3225), (3250) gives:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3289) all_66_25 = all_66_28
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with e0, all_66_25, e2, e2,
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (3127), (3225) gives:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3290) all_66_25 = e0
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_51, all_66_22, e2,
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (3228), (3246) gives:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3291) all_66_22 = all_66_51
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_28, all_66_19, e2,
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (3196), (3250) gives:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3292) all_66_19 = all_66_28
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_37, all_66_19, e2,
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (3158), (3196) gives:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3293) all_66_19 = all_66_37
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_36, all_66_30, e3,
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (3157), (3255) gives:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3294) all_66_30 = all_66_36
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_49, all_66_24, e3,
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (3224), (3245) gives:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3295) all_66_24 = all_66_49
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_24, all_66_12, e3,
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (3194), (3224) gives:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3296) all_66_12 = all_66_24
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with e2, all_66_0, e0, e3,
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (3123), (3254) gives:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3297) all_66_0 = e2
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_69, all_66_8, e1,
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (3147), (3253) gives:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3298) all_66_8 = all_66_69
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_7, all_66_2, e1,
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (3182), (3215) gives:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3299) all_66_2 = all_66_7
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_8, all_66_2, e1,
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (3147), (3182) gives:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3300) all_66_2 = all_66_8
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_13, all_66_2, e1,
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (3082), (3182) gives:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3301) all_66_2 = all_66_13
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_18, all_66_2, e1,
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (3182), (3235) gives:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3302) all_66_2 = all_66_18
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_12, all_66_9, e2,
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (3160), (3249) gives:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3303) all_66_9 = all_66_12
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_12, all_66_6, e2,
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (3227), (3249) gives:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3304) all_66_6 = all_66_12
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_6, all_66_3, e2,
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (3195), (3227) gives:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3305) all_66_3 = all_66_6
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_17, all_66_3, e2,
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (3195), (3234) gives:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3306) all_66_3 = all_66_17
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3270), (3297) imply:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3307) all_66_20 = e2
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3307) implies:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3308) all_66_20 = e2
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3265), (3266) imply:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3309) all_66_21 = all_66_61
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3309) implies:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3310) all_66_21 = all_66_61
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3299), (3301) imply:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3311) all_66_7 = all_66_13
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3299), (3300) imply:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3312) all_66_7 = all_66_8
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3299), (3302) imply:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3313) all_66_7 = all_66_18
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3305), (3306) imply:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3314) all_66_6 = all_66_17
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3314) implies:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3315) all_66_6 = all_66_17
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3304), (3315) imply:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3316) all_66_12 = all_66_17
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3316) implies:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3317) all_66_12 = all_66_17
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3311), (3312) imply:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3318) all_66_8 = all_66_13
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3318) implies:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3319) all_66_8 = all_66_13
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3311), (3313) imply:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3320) all_66_13 = all_66_18
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3298), (3319) imply:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3321) all_66_13 = all_66_69
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3321) implies:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3322) all_66_13 = all_66_69
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3278), (3303) imply:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3323) all_66_12 = all_66_38
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3323) implies:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3324) all_66_12 = all_66_38
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3277), (3278) imply:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3325) all_66_33 = all_66_38
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3325) implies:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3326) all_66_33 = all_66_38
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3317), (3324) imply:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3327) all_66_17 = all_66_38
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3296), (3317) imply:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3328) all_66_17 = all_66_24
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3320), (3322) imply:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3329) all_66_18 = all_66_69
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3329) implies:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3330) all_66_18 = all_66_69
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3327), (3328) imply:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3331) all_66_24 = all_66_38
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3331) implies:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3332) all_66_24 = all_66_38
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3288), (3330) imply:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3333) all_66_29 = all_66_69
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3333) implies:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3334) all_66_29 = all_66_69
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3292), (3293) imply:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3335) all_66_28 = all_66_37
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3335) implies:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3336) all_66_28 = all_66_37
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3269), (3308) imply:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3337) all_66_40 = e2
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3337) implies:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3338) all_66_40 = e2
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3264), (3310) imply:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3339) all_66_61 = all_66_67
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3284), (3310) imply:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3340) all_66_26 = all_66_61
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3340) implies:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3341) all_66_26 = all_66_61
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3261), (3291) imply:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3342) all_66_42 = all_66_51
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3261), (3262) imply:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3343) all_66_42 = all_66_65
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3256), (3287) imply:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3344) all_66_53 = all_66_59
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3286), (3287) imply:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3345) all_66_29 = all_66_53
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3345) implies:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3346) all_66_29 = all_66_53
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3285), (3295) imply:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3347) all_66_26 = all_66_49
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3347) implies:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3348) all_66_26 = all_66_49
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3295), (3332) imply:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3349) all_66_38 = all_66_49
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3349) implies:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3350) all_66_38 = all_66_49
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3289), (3290) imply:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3351) all_66_28 = e0
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3351) implies:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3352) all_66_28 = e0
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3341), (3348) imply:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3353) all_66_49 = all_66_61
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3353) implies:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3354) all_66_49 = all_66_61
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3336), (3352) imply:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3355) all_66_37 = e0
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3355) implies:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3356) all_66_37 = e0
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3334), (3346) imply:
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3357) all_66_53 = all_66_69
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3357) implies:
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3358) all_66_53 = all_66_69
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3276), (3334) imply:
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3359) all_66_41 = all_66_69
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3359) implies:
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3360) all_66_41 = all_66_69
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3275), (3294) imply:
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3361) all_66_34 = all_66_36
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3361) implies:
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3362) all_66_34 = all_66_36
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3282), (3283) imply:
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3363) all_66_39 = e1
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3363) implies:
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3364) all_66_39 = e1
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3280), (3326) imply:
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3365) all_66_36 = all_66_38
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3365) implies:
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3366) all_66_36 = all_66_38
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3274), (3362) imply:
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3367) all_66_36 = all_66_39
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3367) implies:
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3368) all_66_36 = all_66_39
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3272), (3273) imply:
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3369) all_66_42 = e3
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3279), (3368) imply:
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3370) all_66_39 = all_66_57
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3370) implies:
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3371) all_66_39 = all_66_57
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3279), (3366) imply:
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3372) all_66_38 = all_66_57
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3372) implies:
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3373) all_66_38 = all_66_57
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3271), (3356) imply:
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3374) all_66_63 = e0
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3374) implies:
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3375) all_66_63 = e0
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3350), (3373) imply:
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3376) all_66_49 = all_66_57
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3376) implies:
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3377) all_66_49 = all_66_57
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3281), (3364) imply:
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3378) all_66_55 = e1
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3281), (3371) imply:
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3379) all_66_55 = all_66_57
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3268), (3338) imply:
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3380) all_66_51 = e2
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3380) implies:
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3381) all_66_51 = e2
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3263), (3360) imply:
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3382) all_66_67 = all_66_69
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3382) implies:
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3383) all_66_67 = all_66_69
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3342), (3369) imply:
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3384) all_66_51 = e3
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3384) implies:
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3385) all_66_51 = e3
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3343), (3369) imply:
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3386) all_66_65 = e3
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3386) implies:
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3387) all_66_65 = e3
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3354), (3377) imply:
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3388) all_66_57 = all_66_61
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3388) implies:
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3389) all_66_57 = all_66_61
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3267), (3385) imply:
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3390) all_66_73 = e3
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3267), (3381) imply:
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3391) all_66_73 = e2
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3260), (3344) imply:
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3392) all_66_59 = all_66_75
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3344), (3358) imply:
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3393) all_66_59 = all_66_69
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3378), (3379) imply:
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3394) all_66_57 = e1
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3394) implies:
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3395) all_66_57 = e1
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3389), (3395) imply:
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3396) all_66_61 = e1
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3396) implies:
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3397) all_66_61 = e1
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3392), (3393) imply:
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3398) all_66_69 = all_66_75
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3339), (3397) imply:
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3399) all_66_67 = e1
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3399) implies:
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3400) all_66_67 = e1
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3259), (3375) imply:
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3401) all_66_65 = e0
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3401) implies:
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3402) all_66_65 = e0
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3258), (3387) imply:
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3403) all_66_77 = e3
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3403) implies:
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3404) all_66_77 = e3
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3387), (3402) imply:
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3405) e3 = e0
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3383), (3400) imply:
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3406) all_66_69 = e1
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3406) implies:
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3407) all_66_69 = e1
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3398), (3407) imply:
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3408) all_66_75 = e1
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3408) implies:
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3409) all_66_75 = e1
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3390), (3391) imply:
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3410) e3 = e2
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3410) implies:
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3411) e3 = e2
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3257), (3409) imply:
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3412) all_66_77 = e1
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3412) implies:
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3413) all_66_77 = e1
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3404), (3413) imply:
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3414) e3 = e1
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3414) implies:
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3415) e3 = e1
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3411), (3415) imply:
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3416) e2 = e1
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3405), (3411) imply:
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3417) e2 = e0
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3416), (3417) imply:
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3418) e1 = e0
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3212), (3418) imply:
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3419) $false
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3419) is inconsistent.
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3420) all_64_14 = e2 | all_64_14 = e1 | all_64_14 = e0
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (551), (3104), (3178), (3243), (3420) are
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #5.
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3421) all_64_12 = e1 | all_64_12 = e0
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (684), (3107), (3143), (3421) are inconsistent by
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #85.
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3422) all_64_4 = e2 | all_64_4 = e1 | all_64_4 = e0
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (689), (904), (3110), (3223), (3422) are
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #97.
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3423) all_64_6 = e1 | all_64_6 = e0
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (688), (3109), (3210), (3423) are inconsistent by
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #88.
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (3424) all_64_7 = e0
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (687), (3424) imply:
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (3425) all_22_0 = e0
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3108), (3425) imply:
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | (3426) $false
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3426) is inconsistent.
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | (3427) all_64_3 = e1 | all_64_3 = e0
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (529), (3106), (3180), (3427) are inconsistent by
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | | sub-proof #20.
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | | End of split
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | End of split
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | Case 2:
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | (3428) all_64_2 = e0
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (3428) imply:
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | (3429) all_40_0 = e0
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | REDUCE: (3105), (3429) imply:
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | (3430) $false
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | | CLOSE: (3430) is inconsistent.
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | | End of split
% 72.47/10.98 | | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | | End of split
% 72.47/10.98 | | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | End of split
% 72.47/10.98 | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | Case 2:
% 72.47/10.98 | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | (3431) all_64_1 = e2 | all_64_1 = e1 | all_64_1 = e0
% 72.47/10.98 | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | | REF_CLOSE: (525), (2959), (3077), (3156), (3431) are
% 72.47/10.98 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #63.
% 72.47/10.98 | | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | End of split
% 72.47/10.98 | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | Case 2:
% 72.47/10.98 | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | (3432) all_64_9 = e1 | all_64_9 = e0
% 72.47/10.98 | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | | REF_CLOSE: (542), (2961), (3144), (3432) are inconsistent by
% 72.47/10.98 | | | | | | | | | | | | | | | | sub-proof #107.
% 72.47/10.98 | | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | | End of split
% 72.47/10.98 | | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | End of split
% 72.47/10.98 | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | Case 2:
% 72.47/10.98 | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | (3433) all_64_8 = e0
% 72.47/10.98 | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | COMBINE_EQS: (686), (3433) imply:
% 72.47/10.98 | | | | | | | | | | | | | | (3434) all_4_0 = e0
% 72.47/10.98 | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | REDUCE: (3111), (3434) imply:
% 72.47/10.98 | | | | | | | | | | | | | | (3435) $false
% 72.47/10.98 | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | | CLOSE: (3435) is inconsistent.
% 72.47/10.98 | | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | | End of split
% 72.47/10.98 | | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | | End of split
% 72.47/10.98 | | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | End of split
% 72.47/10.98 | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | Case 2:
% 72.47/10.98 | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | (3436) ~ (all_48_1 = e0)
% 72.47/10.98 | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | REDUCE: (3103), (3436) imply:
% 72.47/10.98 | | | | | | | | | | | (3437) $false
% 72.47/10.98 | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | | CLOSE: (3437) is inconsistent.
% 72.47/10.98 | | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | | End of split
% 72.47/10.98 | | | | | | | | | |
% 72.47/10.98 | | | | | | | | | End of split
% 72.47/10.98 | | | | | | | | |
% 72.47/10.98 | | | | | | | | End of split
% 72.47/10.98 | | | | | | | |
% 72.47/10.98 | | | | | | | End of split
% 72.47/10.98 | | | | | | |
% 72.47/10.98 | | | | | | Case 2:
% 72.47/10.98 | | | | | | |
% 72.47/10.98 | | | | | | | (3438) all_18_0 = e0
% 72.47/10.98 | | | | | | |
% 72.47/10.98 | | | | | | | COMBINE_EQS: (602), (3438) imply:
% 72.47/10.98 | | | | | | | (3439) all_10_0 = e0
% 72.47/10.98 | | | | | | |
% 72.47/10.98 | | | | | | | SIMP: (3439) implies:
% 72.47/10.98 | | | | | | | (3440) all_10_0 = e0
% 72.47/10.98 | | | | | | |
% 72.47/10.98 | | | | | | | REDUCE: (739), (3440) imply:
% 72.47/10.98 | | | | | | | (3441) ~ (all_10_1 = e0)
% 72.47/10.98 | | | | | | |
% 72.47/10.98 | | | | | | | SIMP: (3441) implies:
% 72.47/10.98 | | | | | | | (3442) ~ (all_10_1 = e0)
% 72.47/10.98 | | | | | | |
% 72.47/10.98 | | | | | | | REDUCE: (721), (3440) imply:
% 72.47/10.98 | | | | | | | (3443) ~ (all_4_0 = e0)
% 72.47/10.98 | | | | | | |
% 72.47/10.98 | | | | | | | SIMP: (3443) implies:
% 72.47/10.98 | | | | | | | (3444) ~ (all_4_0 = e0)
% 72.47/10.98 | | | | | | |
% 72.47/10.98 | | | | | | | BETA: splitting (163) gives:
% 72.47/10.98 | | | | | | |
% 72.47/10.98 | | | | | | | Case 1:
% 72.47/10.98 | | | | | | | |
% 72.47/10.99 | | | | | | | | (3445) (all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 &
% 72.47/10.99 | | | | | | | | all_56_3 = e3) | (all_56_0 = e2 & all_56_1 = e2 &
% 72.47/10.99 | | | | | | | | all_56_2 = e2 & all_56_3 = e2)
% 72.47/10.99 | | | | | | | |
% 72.47/10.99 | | | | | | | | BETA: splitting (3445) gives:
% 72.47/10.99 | | | | | | | |
% 72.47/10.99 | | | | | | | | Case 1:
% 72.47/10.99 | | | | | | | | |
% 72.47/10.99 | | | | | | | | | (3446) all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 &
% 72.47/10.99 | | | | | | | | | all_56_3 = e3
% 72.47/10.99 | | | | | | | | |
% 72.47/10.99 | | | | | | | | | REF_CLOSE: (679), (2946), (3446) are inconsistent by sub-proof
% 72.47/10.99 | | | | | | | | | #73.
% 72.47/10.99 | | | | | | | | |
% 72.47/10.99 | | | | | | | | Case 2:
% 72.47/10.99 | | | | | | | | |
% 72.47/10.99 | | | | | | | | | (3447) all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 &
% 72.47/10.99 | | | | | | | | | all_56_3 = e2
% 72.47/10.99 | | | | | | | | |
% 72.47/10.99 | | | | | | | | | REF_CLOSE: (679), (2941), (3447) are inconsistent by sub-proof
% 72.47/10.99 | | | | | | | | | #28.
% 72.47/10.99 | | | | | | | | |
% 72.47/10.99 | | | | | | | | End of split
% 72.47/10.99 | | | | | | | |
% 72.47/10.99 | | | | | | | Case 2:
% 72.47/10.99 | | | | | | | |
% 72.47/10.99 | | | | | | | | (3448) (all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 &
% 72.47/10.99 | | | | | | | | all_56_3 = e1) | (all_56_0 = e0 & all_56_1 = e0 &
% 72.47/10.99 | | | | | | | | all_56_2 = e0 & all_56_3 = e0)
% 72.47/10.99 | | | | | | | |
% 72.47/10.99 | | | | | | | | BETA: splitting (3448) gives:
% 72.47/10.99 | | | | | | | |
% 72.47/10.99 | | | | | | | | Case 1:
% 72.47/10.99 | | | | | | | | |
% 72.47/10.99 | | | | | | | | | (3449) all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 &
% 72.47/10.99 | | | | | | | | | all_56_3 = e1
% 72.47/10.99 | | | | | | | | |
% 72.47/10.99 | | | | | | | | | ALPHA: (3449) implies:
% 72.47/10.99 | | | | | | | | | (3450) all_56_0 = e1
% 72.47/10.99 | | | | | | | | |
% 72.47/10.99 | | | | | | | | | COMBINE_EQS: (559), (3450) imply:
% 72.47/10.99 | | | | | | | | | (3451) all_4_1 = e1
% 72.47/10.99 | | | | | | | | |
% 72.47/10.99 | | | | | | | | | REDUCE: (700), (3451) imply:
% 72.47/10.99 | | | | | | | | | (3452) ~ (all_4_0 = e1)
% 72.47/10.99 | | | | | | | | |
% 72.47/10.99 | | | | | | | | | REF_CLOSE: (273), (686), (903), (2948), (3444), (3452) are
% 72.47/10.99 | | | | | | | | | inconsistent by sub-proof #52.
% 72.47/10.99 | | | | | | | | |
% 72.47/10.99 | | | | | | | | Case 2:
% 72.47/10.99 | | | | | | | | |
% 72.47/10.99 | | | | | | | | | (3453) all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 &
% 72.47/10.99 | | | | | | | | | all_56_3 = e0
% 72.47/10.99 | | | | | | | | |
% 72.47/10.99 | | | | | | | | | REF_CLOSE: (600), (3442), (3453) are inconsistent by sub-proof
% 72.47/10.99 | | | | | | | | | #29.
% 72.47/10.99 | | | | | | | | |
% 72.47/10.99 | | | | | | | | End of split
% 72.47/10.99 | | | | | | | |
% 72.47/10.99 | | | | | | | End of split
% 72.47/10.99 | | | | | | |
% 72.47/10.99 | | | | | | End of split
% 72.47/10.99 | | | | | |
% 72.47/10.99 | | | | | Case 2:
% 72.47/10.99 | | | | | |
% 72.47/10.99 | | | | | | (3454) all_14_0 = e0
% 72.47/10.99 | | | | | | (3455) ~ (all_14_1 = e1)
% 72.47/10.99 | | | | | |
% 72.47/10.99 | | | | | | REDUCE: (704), (3454) imply:
% 72.47/10.99 | | | | | | (3456) ~ (all_4_1 = e0)
% 72.47/10.99 | | | | | |
% 72.47/10.99 | | | | | | SIMP: (3456) implies:
% 72.47/10.99 | | | | | | (3457) ~ (all_4_1 = e0)
% 72.47/10.99 | | | | | |
% 72.47/10.99 | | | | | | REDUCE: (671), (3455) imply:
% 72.47/10.99 | | | | | | (3458) ~ (all_10_1 = e1)
% 72.47/10.99 | | | | | |
% 72.47/10.99 | | | | | | BETA: splitting (163) gives:
% 72.47/10.99 | | | | | |
% 72.47/10.99 | | | | | | Case 1:
% 72.47/10.99 | | | | | | |
% 72.47/10.99 | | | | | | | (3459) (all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 &
% 72.47/10.99 | | | | | | | all_56_3 = e3) | (all_56_0 = e2 & all_56_1 = e2 &
% 72.47/10.99 | | | | | | | all_56_2 = e2 & all_56_3 = e2)
% 72.47/10.99 | | | | | | |
% 72.47/10.99 | | | | | | | BETA: splitting (3459) gives:
% 72.47/10.99 | | | | | | |
% 72.47/10.99 | | | | | | | Case 1:
% 72.47/10.99 | | | | | | | |
% 72.47/10.99 | | | | | | | | (3460) all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 &
% 72.47/10.99 | | | | | | | | all_56_3 = e3
% 72.47/10.99 | | | | | | | |
% 72.47/10.99 | | | | | | | | REF_CLOSE: (679), (2946), (3460) are inconsistent by sub-proof
% 72.47/10.99 | | | | | | | | #73.
% 72.47/10.99 | | | | | | | |
% 72.47/10.99 | | | | | | | Case 2:
% 72.47/10.99 | | | | | | | |
% 72.47/10.99 | | | | | | | | (3461) all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 &
% 72.47/10.99 | | | | | | | | all_56_3 = e2
% 72.47/10.99 | | | | | | | |
% 72.47/10.99 | | | | | | | | REF_CLOSE: (679), (2941), (3461) are inconsistent by sub-proof
% 72.47/10.99 | | | | | | | | #28.
% 72.47/10.99 | | | | | | | |
% 72.47/10.99 | | | | | | | End of split
% 72.47/10.99 | | | | | | |
% 72.47/10.99 | | | | | | Case 2:
% 72.47/10.99 | | | | | | |
% 72.47/10.99 | | | | | | | (3462) (all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 &
% 72.47/10.99 | | | | | | | all_56_3 = e1) | (all_56_0 = e0 & all_56_1 = e0 &
% 72.47/10.99 | | | | | | | all_56_2 = e0 & all_56_3 = e0)
% 72.47/10.99 | | | | | | |
% 72.47/10.99 | | | | | | | BETA: splitting (3462) gives:
% 72.47/10.99 | | | | | | |
% 72.47/10.99 | | | | | | | Case 1:
% 72.47/10.99 | | | | | | | |
% 72.47/10.99 | | | | | | | | (3463) all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 &
% 72.47/10.99 | | | | | | | | all_56_3 = e1
% 72.47/10.99 | | | | | | | |
% 72.47/10.99 | | | | | | | | REF_CLOSE: (600), (3458), (3463) are inconsistent by sub-proof
% 72.47/10.99 | | | | | | | | #71.
% 72.47/10.99 | | | | | | | |
% 72.47/10.99 | | | | | | | Case 2:
% 72.47/10.99 | | | | | | | |
% 72.47/10.99 | | | | | | | | (3464) all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 &
% 72.47/10.99 | | | | | | | | all_56_3 = e0
% 72.47/10.99 | | | | | | | |
% 72.47/10.99 | | | | | | | | REF_CLOSE: (559), (3457), (3464) are inconsistent by sub-proof
% 72.47/10.99 | | | | | | | | #10.
% 72.47/10.99 | | | | | | | |
% 72.47/10.99 | | | | | | | End of split
% 72.47/10.99 | | | | | | |
% 72.47/10.99 | | | | | | End of split
% 72.47/10.99 | | | | | |
% 72.47/10.99 | | | | | End of split
% 72.47/10.99 | | | | |
% 72.47/10.99 | | | | Case 2:
% 72.47/10.99 | | | | |
% 72.47/10.99 | | | | | (3465) all_12_0 = e3
% 72.47/10.99 | | | | | (3466) ~ (all_12_1 = e0)
% 72.47/10.99 | | | | |
% 72.47/10.99 | | | | | REDUCE: (715), (3465) imply:
% 72.47/10.99 | | | | | (3467) ~ (all_6_0 = e3)
% 72.47/10.99 | | | | |
% 72.47/10.99 | | | | | SIMP: (3467) implies:
% 72.47/10.99 | | | | | (3468) ~ (all_6_0 = e3)
% 72.47/10.99 | | | | |
% 72.47/10.99 | | | | | BETA: splitting (163) gives:
% 72.47/10.99 | | | | |
% 72.47/10.99 | | | | | Case 1:
% 72.47/10.99 | | | | | |
% 72.47/10.99 | | | | | | (3469) (all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 & all_56_3
% 72.47/10.99 | | | | | | = e3) | (all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 &
% 72.47/10.99 | | | | | | all_56_3 = e2)
% 72.47/10.99 | | | | | |
% 72.47/10.99 | | | | | | BETA: splitting (3469) gives:
% 72.47/10.99 | | | | | |
% 72.47/10.99 | | | | | | Case 1:
% 72.47/10.99 | | | | | | |
% 72.47/10.99 | | | | | | | (3470) all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 & all_56_3
% 72.47/10.99 | | | | | | | = e3
% 72.47/10.99 | | | | | | |
% 72.47/10.99 | | | | | | | REF_CLOSE: (679), (2946), (3470) are inconsistent by sub-proof
% 72.47/10.99 | | | | | | | #73.
% 72.47/10.99 | | | | | | |
% 72.47/10.99 | | | | | | Case 2:
% 72.47/10.99 | | | | | | |
% 72.47/10.99 | | | | | | | (3471) all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 & all_56_3
% 72.47/10.99 | | | | | | | = e2
% 72.47/10.99 | | | | | | |
% 72.47/10.99 | | | | | | | REF_CLOSE: (679), (2941), (3471) are inconsistent by sub-proof
% 72.47/10.99 | | | | | | | #28.
% 72.47/10.99 | | | | | | |
% 72.47/10.99 | | | | | | End of split
% 72.47/10.99 | | | | | |
% 72.47/10.99 | | | | | Case 2:
% 72.47/10.99 | | | | | |
% 72.47/10.99 | | | | | | (3472) (all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 & all_56_3
% 72.47/10.99 | | | | | | = e1) | (all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 &
% 72.47/10.99 | | | | | | all_56_3 = e0)
% 72.47/10.99 | | | | | |
% 72.47/10.99 | | | | | | BETA: splitting (3472) gives:
% 72.47/10.99 | | | | | |
% 72.47/10.99 | | | | | | Case 1:
% 72.47/10.99 | | | | | | |
% 72.47/10.99 | | | | | | | (3473) all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 & all_56_3
% 72.47/10.99 | | | | | | | = e1
% 72.47/10.99 | | | | | | |
% 72.47/10.99 | | | | | | | ALPHA: (3473) implies:
% 72.47/10.99 | | | | | | | (3474) all_56_3 = e1
% 72.47/10.99 | | | | | | | (3475) all_56_0 = e1
% 72.47/10.99 | | | | | | |
% 72.47/10.99 | | | | | | | COMBINE_EQS: (559), (3475) imply:
% 72.47/10.99 | | | | | | | (3476) all_4_1 = e1
% 72.47/10.99 | | | | | | |
% 72.47/10.99 | | | | | | | COMBINE_EQS: (679), (3474) imply:
% 72.47/10.99 | | | | | | | (3477) all_8_1 = e1
% 72.47/10.99 | | | | | | |
% 72.47/10.99 | | | | | | | SIMP: (3477) implies:
% 72.47/10.99 | | | | | | | (3478) all_8_1 = e1
% 72.47/10.99 | | | | | | |
% 72.47/10.99 | | | | | | | COMBINE_EQS: (661), (3476) imply:
% 72.47/10.99 | | | | | | | (3479) all_30_1 = e1
% 72.47/10.99 | | | | | | |
% 72.47/10.99 | | | | | | | COMBINE_EQS: (674), (3478) imply:
% 72.47/10.99 | | | | | | | (3480) all_36_1 = e1
% 72.47/10.99 | | | | | | |
% 72.47/10.99 | | | | | | | REDUCE: (708), (3476) imply:
% 72.47/10.99 | | | | | | | (3481) ~ (all_36_0 = e1)
% 72.47/10.99 | | | | | | |
% 72.47/10.99 | | | | | | | REDUCE: (763), (3478) imply:
% 72.47/10.99 | | | | | | | (3482) ~ (all_22_0 = e1)
% 72.47/10.99 | | | | | | |
% 72.47/10.99 | | | | | | | BETA: splitting (101) gives:
% 72.47/10.99 | | | | | | |
% 72.47/10.99 | | | | | | | Case 1:
% 72.47/10.99 | | | | | | | |
% 72.47/10.99 | | | | | | | | (3483) ~ (all_30_0 = e0)
% 72.47/10.99 | | | | | | | |
% 72.47/10.99 | | | | | | | | REDUCE: (593), (3483) imply:
% 72.47/10.99 | | | | | | | | (3484) ~ (all_6_0 = e0)
% 72.47/10.99 | | | | | | | |
% 72.47/10.99 | | | | | | | | BETA: splitting (113) gives:
% 72.47/10.99 | | | | | | | |
% 72.47/10.99 | | | | | | | | Case 1:
% 72.47/10.99 | | | | | | | | |
% 72.47/10.99 | | | | | | | | | (3485) ~ (all_36_0 = e2)
% 72.47/10.99 | | | | | | | | |
% 72.47/10.99 | | | | | | | | | REF_CLOSE: (274), (277), (278), (529), (687), (689), (717),
% 72.47/10.99 | | | | | | | | | (760), (904), (2942), (2943), (3468), (3481),
% 72.47/10.99 | | | | | | | | | (3482), (3484), (3485) are inconsistent by
% 72.47/10.99 | | | | | | | | | sub-proof #1.
% 72.47/10.99 | | | | | | | | |
% 72.47/10.99 | | | | | | | | Case 2:
% 72.47/10.99 | | | | | | | | |
% 72.47/10.99 | | | | | | | | | (3486) ~ (all_36_1 = e1)
% 72.47/10.99 | | | | | | | | |
% 72.47/10.99 | | | | | | | | | REDUCE: (3480), (3486) imply:
% 72.47/10.99 | | | | | | | | | (3487) $false
% 72.47/10.99 | | | | | | | | |
% 72.47/10.99 | | | | | | | | | CLOSE: (3487) is inconsistent.
% 72.47/10.99 | | | | | | | | |
% 72.47/10.99 | | | | | | | | End of split
% 72.47/10.99 | | | | | | | |
% 72.47/10.99 | | | | | | | Case 2:
% 72.47/10.99 | | | | | | | |
% 72.47/10.99 | | | | | | | | (3488) ~ (all_30_1 = e1)
% 72.47/10.99 | | | | | | | |
% 72.47/10.99 | | | | | | | | REDUCE: (3479), (3488) imply:
% 72.47/10.99 | | | | | | | | (3489) $false
% 72.47/10.99 | | | | | | | |
% 72.47/10.99 | | | | | | | | CLOSE: (3489) is inconsistent.
% 72.47/10.99 | | | | | | | |
% 72.47/10.99 | | | | | | | End of split
% 72.47/10.99 | | | | | | |
% 72.47/10.99 | | | | | | Case 2:
% 72.47/10.99 | | | | | | |
% 72.47/10.99 | | | | | | | (3490) all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 & all_56_3
% 72.47/10.99 | | | | | | | = e0
% 72.47/10.99 | | | | | | |
% 72.47/10.99 | | | | | | | REF_CLOSE: (680), (3466), (3490) are inconsistent by sub-proof
% 72.47/10.99 | | | | | | | #16.
% 72.47/10.99 | | | | | | |
% 72.47/10.99 | | | | | | End of split
% 72.47/10.99 | | | | | |
% 72.47/10.99 | | | | | End of split
% 72.47/10.99 | | | | |
% 72.47/10.99 | | | | End of split
% 72.47/10.99 | | | |
% 72.47/10.99 | | | End of split
% 72.47/10.99 | | |
% 72.47/10.99 | | Case 2:
% 72.47/10.99 | | |
% 72.47/10.99 | | | (3491) all_6_0 = e1
% 72.47/10.99 | | | (3492) ~ (all_6_1 = e0)
% 72.47/10.99 | | |
% 72.47/10.99 | | | REDUCE: (711), (3491) imply:
% 72.47/10.99 | | | (3493) ~ (all_28_0 = e1)
% 72.47/10.99 | | |
% 72.47/10.99 | | | REDUCE: (717), (3491) imply:
% 72.47/10.99 | | | (3494) ~ (all_22_0 = e1)
% 72.47/10.99 | | |
% 72.47/10.99 | | | REDUCE: (715), (3491) imply:
% 72.47/10.99 | | | (3495) ~ (all_12_0 = e1)
% 72.47/10.99 | | |
% 72.47/10.99 | | | REDUCE: (709), (3491) imply:
% 72.47/10.99 | | | (3496) ~ (all_4_0 = e1)
% 72.47/10.99 | | |
% 72.47/10.99 | | | SIMP: (3496) implies:
% 72.47/10.99 | | | (3497) ~ (all_4_0 = e1)
% 72.47/10.99 | | |
% 72.47/10.99 | | | REDUCE: (698), (3491) imply:
% 72.47/10.99 | | | (3498) ~ (all_4_1 = e1)
% 72.47/10.99 | | |
% 72.47/10.99 | | | SIMP: (3498) implies:
% 72.47/10.99 | | | (3499) ~ (all_4_1 = e1)
% 72.47/10.99 | | |
% 72.47/10.99 | | | REDUCE: (664), (3492) imply:
% 72.47/10.99 | | | (3500) ~ (all_4_1 = e0)
% 72.47/10.99 | | |
% 72.47/10.99 | | | REDUCE: (789), (3491) imply:
% 72.47/10.99 | | | (3501) op(e1, e1) = all_66_18
% 72.47/10.99 | | |
% 72.47/10.99 | | | REDUCE: (790), (3491) imply:
% 72.47/10.99 | | | (3502) op(e1, e0) = all_66_19
% 72.47/10.99 | | |
% 72.47/10.99 | | | REDUCE: (839), (3491) imply:
% 72.47/10.99 | | | (3503) op(e3, e1) = all_66_4
% 72.47/10.99 | | |
% 72.47/10.99 | | | REDUCE: (856), (3491) imply:
% 72.47/10.99 | | | (3504) op(e2, e1) = all_66_20
% 72.47/10.99 | | |
% 72.47/10.99 | | | REDUCE: (51), (3491) imply:
% 72.47/10.99 | | | (3505) op(e2, e3) = e1
% 72.47/10.99 | | |
% 72.47/10.99 | | | REDUCE: (873), (3491) imply:
% 72.47/10.99 | | | (3506) op(e1, e1) = all_66_36
% 72.47/10.99 | | |
% 72.47/10.99 | | | GROUND_INST: instantiating (45) with all_8_0, all_66_19, e0, e1,
% 72.47/10.99 | | | simplifying with (56), (3502) gives:
% 72.47/10.99 | | | (3507) all_66_19 = all_8_0
% 72.47/10.99 | | |
% 72.47/10.99 | | | GROUND_INST: instantiating (45) with all_12_1, all_66_18, e1, e1,
% 72.47/10.99 | | | simplifying with (63), (3501) gives:
% 72.47/10.99 | | | (3508) all_66_18 = all_12_1
% 72.47/10.99 | | |
% 72.47/10.99 | | | GROUND_INST: instantiating (45) with all_66_36, all_66_18, e1, e1,
% 72.47/10.99 | | | simplifying with (3501), (3506) gives:
% 72.47/10.99 | | | (3509) all_66_18 = all_66_36
% 72.47/10.99 | | |
% 72.47/10.99 | | | GROUND_INST: instantiating (45) with all_12_0, all_66_20, e1, e2,
% 72.47/10.99 | | | simplifying with (64), (3504) gives:
% 72.47/10.99 | | | (3510) all_66_20 = all_12_0
% 72.47/10.99 | | |
% 72.47/10.99 | | | GROUND_INST: instantiating (45) with all_40_0, all_66_4, e1, e3,
% 72.47/10.99 | | | simplifying with (120), (3503) gives:
% 72.47/10.99 | | | (3511) all_66_4 = all_40_0
% 72.47/10.99 | | |
% 72.47/10.99 | | | COMBINE_EQS: (3508), (3509) imply:
% 72.47/10.99 | | | (3512) all_66_36 = all_12_1
% 72.47/10.99 | | |
% 72.47/10.99 | | | REDUCE: (775), (3511) imply:
% 72.47/10.99 | | | (3513) op(all_14_0, e3) = all_40_0
% 72.47/10.99 | | |
% 72.47/10.99 | | | REDUCE: (791), (3510) imply:
% 72.47/10.99 | | | (3514) op(all_10_1, e3) = all_12_0
% 72.47/10.99 | | |
% 72.47/10.99 | | | REDUCE: (854), (3508) imply:
% 72.47/10.99 | | | (3515) op(e2, all_40_0) = all_12_1
% 72.47/10.99 | | |
% 72.47/10.99 | | | REDUCE: (855), (3507) imply:
% 72.47/10.99 | | | (3516) op(e2, all_36_0) = all_8_0
% 72.47/10.99 | | |
% 72.47/10.99 | | | BETA: splitting (65) gives:
% 72.47/10.99 | | |
% 72.47/10.99 | | | Case 1:
% 72.47/10.99 | | | |
% 72.47/10.99 | | | | (3517) ~ (all_12_0 = e3)
% 72.47/10.99 | | | |
% 72.47/10.99 | | | | BETA: splitting (73) gives:
% 72.47/10.99 | | | |
% 72.47/10.99 | | | | Case 1:
% 72.47/10.99 | | | | |
% 72.47/10.99 | | | | | (3518) ~ (all_16_0 = e0)
% 72.47/10.99 | | | | |
% 72.47/10.99 | | | | | REDUCE: (607), (3518) imply:
% 72.47/10.99 | | | | | (3519) ~ (all_12_0 = e0)
% 72.47/10.99 | | | | |
% 72.47/10.99 | | | | | BETA: splitting (275) gives:
% 72.47/10.99 | | | | |
% 72.47/10.99 | | | | | Case 1:
% 72.47/10.99 | | | | | |
% 72.47/10.99 | | | | | | (3520) all_64_6 = e3
% 72.47/10.99 | | | | | |
% 72.47/10.99 | | | | | | COMBINE_EQS: (688), (3520) imply:
% 72.47/10.99 | | | | | | (3521) all_12_0 = e3
% 72.47/10.99 | | | | | |
% 72.47/10.99 | | | | | | REDUCE: (3517), (3521) imply:
% 72.47/10.99 | | | | | | (3522) $false
% 72.47/10.99 | | | | | |
% 72.47/10.99 | | | | | | CLOSE: (3522) is inconsistent.
% 72.47/10.99 | | | | | |
% 72.47/10.99 | | | | | Case 2:
% 72.47/10.99 | | | | | |
% 72.47/10.99 | | | | | | (3523) all_64_6 = e2 | all_64_6 = e1 | all_64_6 = e0
% 72.47/10.99 | | | | | |
% 72.47/10.99 | | | | | | BETA: splitting (3523) gives:
% 72.47/10.99 | | | | | |
% 72.47/10.99 | | | | | | Case 1:
% 72.47/10.99 | | | | | | |
% 72.47/10.99 | | | | | | | (3524) all_64_6 = e2
% 72.47/10.99 | | | | | | |
% 72.47/10.99 | | | | | | | COMBINE_EQS: (688), (3524) imply:
% 72.47/10.99 | | | | | | | (3525) all_12_0 = e2
% 72.47/10.99 | | | | | | |
% 72.47/10.99 | | | | | | | REDUCE: (758), (3525) imply:
% 72.47/10.99 | | | | | | | (3526) ~ (all_22_0 = e2)
% 72.47/10.99 | | | | | | |
% 72.47/10.99 | | | | | | | REDUCE: (741), (3525) imply:
% 72.47/10.99 | | | | | | | (3527) ~ (all_10_1 = e2)
% 72.47/10.99 | | | | | | |
% 72.47/10.99 | | | | | | | SIMP: (3527) implies:
% 72.47/10.99 | | | | | | | (3528) ~ (all_10_1 = e2)
% 72.47/10.99 | | | | | | |
% 72.47/10.99 | | | | | | | REDUCE: (797), (3525) imply:
% 72.47/10.99 | | | | | | | (3529) op(e2, e1) = all_66_26
% 72.47/10.99 | | | | | | |
% 72.47/10.99 | | | | | | | REDUCE: (798), (3525) imply:
% 72.47/10.99 | | | | | | | (3530) op(e2, e0) = all_66_27
% 72.47/10.99 | | | | | | |
% 72.47/10.99 | | | | | | | REDUCE: (3514), (3525) imply:
% 72.47/10.99 | | | | | | | (3531) op(all_10_1, e3) = e2
% 72.47/10.99 | | | | | | |
% 72.47/10.99 | | | | | | | REDUCE: (841), (3525) imply:
% 72.47/10.99 | | | | | | | (3532) op(e3, e2) = all_66_6
% 72.47/10.99 | | | | | | |
% 72.47/10.99 | | | | | | | REDUCE: (875), (3525) imply:
% 72.47/10.99 | | | | | | | (3533) op(e1, e2) = all_66_38
% 72.47/11.00 | | | | | | |
% 72.47/11.00 | | | | | | | BETA: splitting (163) gives:
% 72.47/11.00 | | | | | | |
% 72.47/11.00 | | | | | | | Case 1:
% 72.47/11.00 | | | | | | | |
% 72.47/11.00 | | | | | | | | (3534) (all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 &
% 72.47/11.00 | | | | | | | | all_56_3 = e3) | (all_56_0 = e2 & all_56_1 = e2 &
% 72.47/11.00 | | | | | | | | all_56_2 = e2 & all_56_3 = e2)
% 72.47/11.00 | | | | | | | |
% 72.47/11.00 | | | | | | | | BETA: splitting (3534) gives:
% 72.47/11.00 | | | | | | | |
% 72.47/11.00 | | | | | | | | Case 1:
% 72.47/11.00 | | | | | | | | |
% 72.47/11.00 | | | | | | | | | (3535) all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 &
% 72.47/11.00 | | | | | | | | | all_56_3 = e3
% 72.47/11.00 | | | | | | | | |
% 72.47/11.00 | | | | | | | | | ALPHA: (3535) implies:
% 72.47/11.00 | | | | | | | | | (3536) all_56_3 = e3
% 72.47/11.00 | | | | | | | | | (3537) all_56_2 = e3
% 72.47/11.00 | | | | | | | | | (3538) all_56_1 = e3
% 72.47/11.00 | | | | | | | | | (3539) all_56_0 = e3
% 72.47/11.00 | | | | | | | | |
% 72.47/11.00 | | | | | | | | | COMBINE_EQS: (559), (3539) imply:
% 72.47/11.00 | | | | | | | | | (3540) all_4_1 = e3
% 72.47/11.00 | | | | | | | | |
% 72.47/11.00 | | | | | | | | | COMBINE_EQS: (600), (3538) imply:
% 72.47/11.00 | | | | | | | | | (3541) all_10_1 = e3
% 72.47/11.00 | | | | | | | | |
% 72.47/11.00 | | | | | | | | | COMBINE_EQS: (680), (3537) imply:
% 72.47/11.00 | | | | | | | | | (3542) all_12_1 = e3
% 72.47/11.00 | | | | | | | | |
% 72.47/11.00 | | | | | | | | | COMBINE_EQS: (679), (3536) imply:
% 72.47/11.00 | | | | | | | | | (3543) all_8_1 = e3
% 72.47/11.00 | | | | | | | | |
% 72.47/11.00 | | | | | | | | | SIMP: (3543) implies:
% 72.47/11.00 | | | | | | | | | (3544) all_8_1 = e3
% 72.47/11.00 | | | | | | | | |
% 72.47/11.00 | | | | | | | | | COMBINE_EQS: (646), (3541) imply:
% 72.47/11.00 | | | | | | | | | (3545) all_20_1 = e3
% 72.47/11.00 | | | | | | | | |
% 72.47/11.00 | | | | | | | | | COMBINE_EQS: (647), (3544) imply:
% 72.47/11.00 | | | | | | | | | (3546) all_24_1 = e3
% 72.47/11.00 | | | | | | | | |
% 72.47/11.00 | | | | | | | | | REDUCE: (759), (3544) imply:
% 72.47/11.00 | | | | | | | | | (3547) ~ (all_42_0 = e3)
% 72.47/11.00 | | | | | | | | |
% 72.47/11.00 | | | | | | | | | REDUCE: (706), (3540) imply:
% 72.47/11.00 | | | | | | | | | (3548) ~ (all_40_0 = e3)
% 72.47/11.00 | | | | | | | | |
% 72.47/11.00 | | | | | | | | | REDUCE: (708), (3540) imply:
% 72.47/11.00 | | | | | | | | | (3549) ~ (all_36_0 = e3)
% 72.47/11.00 | | | | | | | | |
% 72.47/11.00 | | | | | | | | | REDUCE: (702), (3540) imply:
% 72.47/11.00 | | | | | | | | | (3550) ~ (all_28_0 = e3)
% 72.47/11.00 | | | | | | | | |
% 72.47/11.00 | | | | | | | | | REDUCE: (763), (3544) imply:
% 72.47/11.00 | | | | | | | | | (3551) ~ (all_22_0 = e3)
% 72.47/11.00 | | | | | | | | |
% 72.47/11.00 | | | | | | | | | REDUCE: (749), (3544) imply:
% 72.47/11.00 | | | | | | | | | (3552) ~ (all_20_0 = e3)
% 72.47/11.00 | | | | | | | | |
% 72.47/11.00 | | | | | | | | | REDUCE: (704), (3540) imply:
% 72.47/11.00 | | | | | | | | | (3553) ~ (all_14_0 = e3)
% 72.47/11.00 | | | | | | | | |
% 72.47/11.00 | | | | | | | | | REDUCE: (739), (3541) imply:
% 72.47/11.00 | | | | | | | | | (3554) ~ (all_10_0 = e3)
% 72.47/11.00 | | | | | | | | |
% 72.47/11.00 | | | | | | | | | REDUCE: (764), (3544) imply:
% 72.47/11.00 | | | | | | | | | (3555) ~ (all_8_0 = e3)
% 72.47/11.00 | | | | | | | | |
% 72.47/11.00 | | | | | | | | | REDUCE: (700), (3540) imply:
% 72.47/11.00 | | | | | | | | | (3556) ~ (all_4_0 = e3)
% 72.47/11.00 | | | | | | | | |
% 72.47/11.00 | | | | | | | | | REDUCE: (812), (3542) imply:
% 72.47/11.00 | | | | | | | | | (3557) op(e3, e2) = all_66_41
% 72.47/11.00 | | | | | | | | |
% 72.47/11.00 | | | | | | | | | REDUCE: (3531), (3541) imply:
% 72.47/11.00 | | | | | | | | | (3558) op(e3, e3) = e2
% 72.47/11.00 | | | | | | | | |
% 72.47/11.00 | | | | | | | | | REDUCE: (792), (3541) imply:
% 72.47/11.00 | | | | | | | | | (3559) op(e3, e2) = all_66_21
% 72.47/11.00 | | | | | | | | |
% 72.47/11.00 | | | | | | | | | REDUCE: (833), (3544) imply:
% 72.47/11.00 | | | | | | | | | (3560) op(e3, e1) = all_66_77
% 72.47/11.00 | | | | | | | | |
% 72.47/11.00 | | | | | | | | | REDUCE: (834), (3544) imply:
% 72.47/11.00 | | | | | | | | | (3561) op(e3, e0) = all_66_78
% 72.47/11.00 | | | | | | | | |
% 72.47/11.00 | | | | | | | | | REDUCE: (772), (3540) imply:
% 72.47/11.00 | | | | | | | | | (3562) op(e3, e2) = all_66_1
% 72.47/11.00 | | | | | | | | |
% 72.47/11.00 | | | | | | | | | REDUCE: (840), (3541) imply:
% 72.47/11.00 | | | | | | | | | (3563) op(e3, e3) = all_66_5
% 72.47/11.00 | | | | | | | | |
% 72.47/11.00 | | | | | | | | | REDUCE: (850), (3544) imply:
% 72.47/11.00 | | | | | | | | | (3564) op(e3, e3) = all_66_15
% 72.47/11.00 | | | | | | | | |
% 72.47/11.00 | | | | | | | | | REDUCE: (835), (3540) imply:
% 72.47/11.00 | | | | | | | | | (3565) op(e3, e3) = all_66_0
% 72.47/11.00 | | | | | | | | |
% 72.47/11.00 | | | | | | | | | REDUCE: (48), (3540) imply:
% 72.47/11.00 | | | | | | | | | (3566) op(e3, e3) = e3
% 72.47/11.00 | | | | | | | | |
% 72.47/11.00 | | | | | | | | | REDUCE: (862), (3542) imply:
% 72.47/11.00 | | | | | | | | | (3567) op(e2, e3) = all_66_26
% 72.47/11.00 | | | | | | | | |
% 72.47/11.00 | | | | | | | | | REDUCE: (867), (3544) imply:
% 72.47/11.00 | | | | | | | | | (3568) op(e2, e3) = all_66_31
% 72.47/11.00 | | | | | | | | |
% 72.47/11.00 | | | | | | | | | REDUCE: (879), (3542) imply:
% 72.47/11.00 | | | | | | | | | (3569) op(e1, e3) = all_66_42
% 72.47/11.00 | | | | | | | | |
% 72.47/11.00 | | | | | | | | | REDUCE: (874), (3541) imply:
% 72.47/11.00 | | | | | | | | | (3570) op(e1, e3) = all_66_37
% 72.47/11.00 | | | | | | | | |
% 72.47/11.00 | | | | | | | | | REDUCE: (884), (3544) imply:
% 72.47/11.00 | | | | | | | | | (3571) op(e1, e3) = all_66_47
% 72.47/11.00 | | | | | | | | |
% 72.47/11.00 | | | | | | | | | REDUCE: (869), (3540) imply:
% 72.47/11.00 | | | | | | | | | (3572) op(e1, e3) = all_66_32
% 72.47/11.00 | | | | | | | | |
% 72.47/11.00 | | | | | | | | | REDUCE: (891), (3541) imply:
% 72.47/11.00 | | | | | | | | | (3573) op(e0, e3) = all_66_59
% 72.47/11.00 | | | | | | | | |
% 72.47/11.00 | | | | | | | | | REDUCE: (901), (3544) imply:
% 72.47/11.00 | | | | | | | | | (3574) op(e0, e3) = all_66_78
% 72.47/11.00 | | | | | | | | |
% 72.47/11.00 | | | | | | | | | BETA: splitting (81) gives:
% 72.47/11.00 | | | | | | | | |
% 72.47/11.00 | | | | | | | | | Case 1:
% 72.47/11.00 | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | (3575) ~ (all_20_0 = e1)
% 72.47/11.00 | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | BETA: splitting (89) gives:
% 72.47/11.00 | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | Case 1:
% 72.47/11.00 | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | (3576) ~ (all_24_0 = e2)
% 72.47/11.00 | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | REDUCE: (616), (3576) imply:
% 72.47/11.00 | | | | | | | | | | | (3577) ~ (all_8_0 = e2)
% 72.47/11.00 | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | BETA: splitting (273) gives:
% 72.47/11.00 | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | Case 1:
% 72.47/11.00 | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | (3578) all_64_8 = e3
% 72.47/11.00 | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | COMBINE_EQS: (686), (3578) imply:
% 72.47/11.00 | | | | | | | | | | | | (3579) all_4_0 = e3
% 72.47/11.00 | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | REDUCE: (3556), (3579) imply:
% 72.47/11.00 | | | | | | | | | | | | (3580) $false
% 72.47/11.00 | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | CLOSE: (3580) is inconsistent.
% 72.47/11.00 | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | Case 2:
% 72.47/11.00 | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | (3581) all_64_8 = e2 | all_64_8 = e1 | all_64_8 = e0
% 72.47/11.00 | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | BETA: splitting (3581) gives:
% 72.47/11.00 | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | Case 1:
% 72.47/11.00 | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | (3582) all_64_8 = e2
% 72.47/11.00 | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | COMBINE_EQS: (686), (3582) imply:
% 72.47/11.00 | | | | | | | | | | | | | (3583) all_4_0 = e2
% 72.47/11.00 | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | REDUCE: (903), (3583) imply:
% 72.47/11.00 | | | | | | | | | | | | | (3584) $false
% 72.47/11.00 | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | CLOSE: (3584) is inconsistent.
% 72.47/11.00 | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | Case 2:
% 72.47/11.00 | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | (3585) all_64_8 = e1 | all_64_8 = e0
% 72.47/11.00 | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | BETA: splitting (3585) gives:
% 72.47/11.00 | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | Case 1:
% 72.47/11.00 | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | (3586) all_64_8 = e1
% 72.47/11.00 | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | COMBINE_EQS: (686), (3586) imply:
% 72.47/11.00 | | | | | | | | | | | | | | (3587) all_4_0 = e1
% 72.47/11.00 | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | REDUCE: (3497), (3587) imply:
% 72.47/11.00 | | | | | | | | | | | | | | (3588) $false
% 72.47/11.00 | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | CLOSE: (3588) is inconsistent.
% 72.47/11.00 | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | Case 2:
% 72.47/11.00 | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | (3589) all_64_8 = e0
% 72.47/11.00 | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | COMBINE_EQS: (686), (3589) imply:
% 72.47/11.00 | | | | | | | | | | | | | | (3590) all_4_0 = e0
% 72.47/11.00 | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | REDUCE: (719), (3590) imply:
% 72.47/11.00 | | | | | | | | | | | | | | (3591) ~ (all_28_0 = e0)
% 72.47/11.00 | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | REDUCE: (721), (3590) imply:
% 72.47/11.00 | | | | | | | | | | | | | | (3592) ~ (all_10_0 = e0)
% 72.47/11.00 | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | REDUCE: (803), (3590) imply:
% 72.47/11.00 | | | | | | | | | | | | | | (3593) op(e0, e3) = all_66_32
% 72.47/11.00 | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | REDUCE: (805), (3590) imply:
% 72.47/11.00 | | | | | | | | | | | | | | (3594) op(e0, e1) = all_66_34
% 72.47/11.00 | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | REDUCE: (806), (3590) imply:
% 72.47/11.00 | | | | | | | | | | | | | | (3595) op(e0, e0) = all_66_35
% 72.47/11.00 | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | REDUCE: (860), (3590) imply:
% 72.47/11.00 | | | | | | | | | | | | | | (3596) op(e2, e0) = all_66_24
% 72.47/11.00 | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | REDUCE: (877), (3590) imply:
% 72.47/11.00 | | | | | | | | | | | | | | (3597) op(e1, e0) = all_66_40
% 72.47/11.00 | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | REDUCE: (894), (3590) imply:
% 72.47/11.00 | | | | | | | | | | | | | | (3598) op(e0, e0) = all_66_65
% 72.47/11.00 | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | BETA: splitting (274) gives:
% 72.47/11.00 | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | Case 1:
% 72.47/11.00 | | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | | (3599) all_64_7 = e3
% 72.47/11.00 | | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | | COMBINE_EQS: (687), (3599) imply:
% 72.47/11.00 | | | | | | | | | | | | | | | (3600) all_22_0 = e3
% 72.47/11.00 | | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | | REDUCE: (3551), (3600) imply:
% 72.47/11.00 | | | | | | | | | | | | | | | (3601) $false
% 72.47/11.00 | | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | | CLOSE: (3601) is inconsistent.
% 72.47/11.00 | | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | Case 2:
% 72.47/11.00 | | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | | (3602) all_64_7 = e2 | all_64_7 = e1 | all_64_7 = e0
% 72.47/11.00 | | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | | BETA: splitting (3602) gives:
% 72.47/11.00 | | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | | Case 1:
% 72.47/11.00 | | | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | | | (3603) all_64_7 = e2
% 72.47/11.00 | | | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | | | COMBINE_EQS: (687), (3603) imply:
% 72.47/11.00 | | | | | | | | | | | | | | | | (3604) all_22_0 = e2
% 72.47/11.00 | | | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | | | REDUCE: (3526), (3604) imply:
% 72.47/11.00 | | | | | | | | | | | | | | | | (3605) $false
% 72.47/11.00 | | | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | | | CLOSE: (3605) is inconsistent.
% 72.47/11.00 | | | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | | Case 2:
% 72.47/11.00 | | | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | | | (3606) all_64_7 = e1 | all_64_7 = e0
% 72.47/11.00 | | | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | | | BETA: splitting (270) gives:
% 72.47/11.00 | | | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | | | Case 1:
% 72.47/11.00 | | | | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | | | | (3607) all_64_12 = e3
% 72.47/11.00 | | | | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | | | | COMBINE_EQS: (684), (3607) imply:
% 72.47/11.00 | | | | | | | | | | | | | | | | | (3608) all_28_0 = e3
% 72.47/11.00 | | | | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | | | | REDUCE: (3550), (3608) imply:
% 72.47/11.00 | | | | | | | | | | | | | | | | | (3609) $false
% 72.47/11.00 | | | | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | | | | CLOSE: (3609) is inconsistent.
% 72.47/11.00 | | | | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | | | Case 2:
% 72.47/11.00 | | | | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | | | | (3610) all_64_12 = e2 | all_64_12 = e1 | all_64_12 = e0
% 72.47/11.00 | | | | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | | | | BETA: splitting (3610) gives:
% 72.47/11.00 | | | | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | | | | Case 1:
% 72.47/11.00 | | | | | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | | | | | (3611) all_64_12 = e2
% 72.47/11.00 | | | | | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (684), (3611) imply:
% 72.47/11.00 | | | | | | | | | | | | | | | | | | (3612) all_28_0 = e2
% 72.47/11.00 | | | | | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | | | | | REDUCE: (728), (3612) imply:
% 72.47/11.00 | | | | | | | | | | | | | | | | | | (3613) ~ (all_42_0 = e2)
% 72.47/11.00 | | | | | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | | | | | REDUCE: (820), (3612) imply:
% 72.47/11.00 | | | | | | | | | | | | | | | | | | (3614) op(e2, e2) = all_66_51
% 72.47/11.00 | | | | | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | | | | | REDUCE: (821), (3612) imply:
% 72.47/11.00 | | | | | | | | | | | | | | | | | | (3615) op(e2, e1) = all_66_53
% 72.47/11.00 | | | | | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | | | | | REDUCE: (847), (3612) imply:
% 72.47/11.00 | | | | | | | | | | | | | | | | | | (3616) op(e3, e2) = all_66_12
% 72.47/11.00 | | | | | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | | | | | REDUCE: (881), (3612) imply:
% 72.47/11.00 | | | | | | | | | | | | | | | | | | (3617) op(e1, e2) = all_66_44
% 72.47/11.00 | | | | | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | | | | | REDUCE: (898), (3612) imply:
% 72.47/11.00 | | | | | | | | | | | | | | | | | | (3618) op(e0, e2) = all_66_73
% 72.47/11.00 | | | | | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | | | | | BETA: splitting (3606) gives:
% 72.47/11.00 | | | | | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | | | | | Case 1:
% 72.47/11.00 | | | | | | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | (3619) all_64_7 = e1
% 72.47/11.00 | | | | | | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (687), (3619) imply:
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | (3620) all_22_0 = e1
% 72.47/11.00 | | | | | | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | REDUCE: (3494), (3620) imply:
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | (3621) $false
% 72.47/11.00 | | | | | | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | CLOSE: (3621) is inconsistent.
% 72.47/11.00 | | | | | | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | | | | | Case 2:
% 72.47/11.00 | | | | | | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | (3622) all_64_7 = e0
% 72.47/11.00 | | | | | | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (687), (3622) imply:
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | (3623) all_22_0 = e0
% 72.47/11.00 | | | | | | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | REDUCE: (760), (3623) imply:
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | (3624) ~ (all_36_0 = e0)
% 72.47/11.00 | | | | | | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | REDUCE: (762), (3623) imply:
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | (3625) ~ (all_8_0 = e0)
% 72.47/11.00 | | | | | | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | SIMP: (3625) implies:
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | (3626) ~ (all_8_0 = e0)
% 72.47/11.00 | | | | | | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | REDUCE: (800), (3623) imply:
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | (3627) op(e0, e2) = all_66_29
% 72.47/11.00 | | | | | | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | REDUCE: (802), (3623) imply:
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | (3628) op(e0, e0) = all_66_31
% 72.47/11.00 | | | | | | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | REDUCE: (842), (3623) imply:
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | (3629) op(e3, e0) = all_66_7
% 72.47/11.00 | | | | | | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | BETA: splitting (271) gives:
% 72.47/11.00 | | | | | | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | Case 1:
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | | (3630) all_64_11 = e3
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (546), (3630) imply:
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | | (3631) all_8_0 = e3
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | | REDUCE: (3555), (3631) imply:
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | | (3632) $false
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | | CLOSE: (3632) is inconsistent.
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | Case 2:
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | | (3633) all_64_11 = e2 | all_64_11 = e1 | all_64_11 = e0
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | | BETA: splitting (3633) gives:
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | | | (3634) all_64_11 = e2
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (546), (3634) imply:
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | | | (3635) all_8_0 = e2
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | | | REDUCE: (3577), (3635) imply:
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | | | (3636) $false
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | | | CLOSE: (3636) is inconsistent.
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | | | (3637) all_64_11 = e1 | all_64_11 = e0
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3637) gives:
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | | | | (3638) all_64_11 = e1
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (546), (3638) imply:
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | | | | (3639) all_8_0 = e1
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (761), (3639) imply:
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | | | | (3640) ~ (all_36_0 = e1)
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (746), (3639) imply:
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | | | | (3641) ~ (all_10_0 = e1)
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (816), (3639) imply:
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | | | | (3642) op(e1, e2) = all_66_45
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (846), (3639) imply:
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | | | | (3643) op(e3, e1) = all_66_11
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3516), (3639) imply:
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | | | | (3644) op(e2, all_36_0) = e1
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (272) gives:
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | | | | | (3645) all_64_9 = e3
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (542), (3645) imply:
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | | | | | (3646) all_10_0 = e3
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3554), (3646) imply:
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | | | | | (3647) $false
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3647) is inconsistent.
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | | | | | (3648) all_64_9 = e2 | all_64_9 = e1 | all_64_9 = e0
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (269) gives:
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | | | | | | (3649) all_64_13 = e3
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (550), (3649) imply:
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | | | | | | (3650) all_20_0 = e3
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3552), (3650) imply:
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | | | | | | (3651) $false
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3651) is inconsistent.
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | | | | | | (3652) all_64_13 = e2 | all_64_13 = e1 | all_64_13 = e0
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3648) gives:
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.00 | | | | | | | | | | | | | | | | | | | | | | | | | (3653) all_64_9 = e2
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (542), (3653) imply:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | (3654) all_10_0 = e2
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (745), (3654) imply:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | (3655) ~ (all_20_0 = e2)
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (808), (3654) imply:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | (3656) op(e2, e2) = all_66_37
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (809), (3654) imply:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | (3657) op(e2, e1) = all_66_38
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (861), (3654) imply:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | (3658) op(e2, e2) = all_66_25
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (895), (3654) imply:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | (3659) op(e0, e2) = all_66_67
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (278) gives:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (3660) all_64_3 = e3
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (529), (3660) imply:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (3661) all_36_0 = e3
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3549), (3661) imply:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (3662) $false
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3662) is inconsistent.
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | (3663) all_64_3 = e2 | all_64_3 = e1 | all_64_3 = e0
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3663) gives:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3664) all_64_3 = e2
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (529), (3664) imply:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3665) all_36_0 = e2
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (753), (3665) imply:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3666) ~ (all_40_0 = e2)
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (737), (3665) imply:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3667) ~ (all_14_0 = e2)
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3667) implies:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3668) ~ (all_14_0 = e2)
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (785), (3665) imply:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3669) op(e2, e1) = all_66_14
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (786), (3665) imply:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3670) op(e2, e0) = all_66_15
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (838), (3665) imply:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3671) op(e3, e2) = all_66_3
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3644), (3665) imply:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3672) op(e2, e2) = e1
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (872), (3665) imply:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3673) op(e1, e2) = all_66_35
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3652) gives:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3674) all_64_13 = e2
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (550), (3674) imply:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3675) all_20_0 = e2
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3655), (3675) imply:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3676) $false
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3676) is inconsistent.
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3677) all_64_13 = e1 | all_64_13 = e0
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3677) gives:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3678) all_64_13 = e1
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (550), (3678) imply:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3679) all_20_0 = e1
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3575), (3679) imply:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3680) $false
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3680) is inconsistent.
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3681) all_64_13 = e0
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (550), (3681) imply:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3682) all_20_0 = e0
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (733), (3682) imply:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3683) ~ (all_14_0 = e0)
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3683) implies:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3684) ~ (all_14_0 = e0)
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (825), (3682) imply:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3685) op(e0, e1) = all_66_61
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (826), (3682) imply:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3686) op(e0, e0) = all_66_63
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (865), (3682) imply:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3687) op(e2, e0) = all_66_29
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (882), (3682) imply:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3688) op(e1, e0) = all_66_45
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (899), (3682) imply:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3689) op(e0, e0) = all_66_75
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (280) gives:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3690) all_64_1 = e3
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (525), (3690) imply:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3691) all_14_0 = e3
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3553), (3691) imply:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3692) $false
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3692) is inconsistent.
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3693) all_64_1 = e2 | all_64_1 = e1 | all_64_1 = e0
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3693) gives:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3694) all_64_1 = e2
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (525), (3694) imply:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3695) all_14_0 = e2
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3668), (3695) imply:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3696) $false
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3696) is inconsistent.
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3697) all_64_1 = e1 | all_64_1 = e0
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (268) gives:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3698) all_64_14 = e3
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (551), (3698) imply:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3699) all_42_0 = e3
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3547), (3699) imply:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3700) $false
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3700) is inconsistent.
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3701) all_64_14 = e2 | all_64_14 = e1 | all_64_14 = e0
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3697) gives:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3702) all_64_1 = e1
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (525), (3702) imply:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3703) all_14_0 = e1
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (735), (3703) imply:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3704) ~ (all_40_0 = e1)
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3513), (3703) imply:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3705) op(e1, e3) = all_40_0
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (776), (3703) imply:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3706) op(e1, e2) = all_66_5
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (778), (3703) imply:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3707) op(e1, e0) = all_66_7
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (836), (3703) imply:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3708) op(e3, e1) = all_66_1
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (279) gives:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3709) all_64_2 = e3
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (3709) imply:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3710) all_40_0 = e3
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3548), (3710) imply:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3711) $false
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3711) is inconsistent.
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3712) all_64_2 = e2 | all_64_2 = e1 | all_64_2 = e0
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3712) gives:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3713) all_64_2 = e2
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (3713) imply:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3714) all_40_0 = e2
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3666), (3714) imply:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3715) $false
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3715) is inconsistent.
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3716) all_64_2 = e1 | all_64_2 = e0
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3701) gives:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3717) all_64_14 = e2
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (551), (3717) imply:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3718) all_42_0 = e2
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3613), (3718) imply:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3719) $false
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3719) is inconsistent.
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3720) all_64_14 = e1 | all_64_14 = e0
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3716) gives:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3721) all_64_2 = e1
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (3721) imply:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3722) all_40_0 = e1
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3704), (3722) imply:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3723) $false
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3723) is inconsistent.
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3724) all_64_2 = e0
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (3724) imply:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3725) all_40_0 = e0
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (752), (3725) imply:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3726) ~ (all_42_0 = e0)
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (782), (3725) imply:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3727) op(e0, e0) = all_66_11
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (871), (3725) imply:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3728) op(e1, e0) = all_66_34
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3705), (3725) imply:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3729) op(e1, e3) = e0
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3720) gives:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3730) all_64_14 = e1
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (551), (3730) imply:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3731) all_42_0 = e1
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3731) implies:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3732) all_42_0 = e1
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3726), (3732) imply:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3733) ~ (e1 = e0)
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (827), (3732) imply:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3734) op(e1, e3) = all_66_65
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (828), (3732) imply:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3735) op(e1, e2) = all_66_67
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (849), (3732) imply:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3736) op(e3, e1) = all_66_14
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_65, all_66_63, e0,
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (3598), (3686) gives:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3737) all_66_63 = all_66_65
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_63, all_66_35, e0,
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (3595), (3686) gives:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3738) all_66_35 = all_66_63
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_75, all_66_31, e0,
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (3628), (3689) gives:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3739) all_66_31 = all_66_75
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_63, all_66_11, e0,
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (3686), (3727) gives:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3740) all_66_11 = all_66_63
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_61, all_66_34, e1,
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (3594), (3685) gives:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3741) all_66_34 = all_66_61
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_73, all_66_67, e2,
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (3618), (3659) gives:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3742) all_66_67 = all_66_73
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_73, all_66_29, e2,
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (3618), (3627) gives:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3743) all_66_29 = all_66_73
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_59, all_66_32, e3,
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (3573), (3593) gives:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3744) all_66_32 = all_66_59
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_78, all_66_32, e3,
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (3574), (3593) gives:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3745) all_66_32 = all_66_78
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_40, all_66_34, e0,
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (3597), (3728) gives:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3746) all_66_34 = all_66_40
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_34, all_66_7, e0,
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (3707), (3728) gives:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3747) all_66_7 = all_66_34
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_45, all_66_7, e0,
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (3688), (3707) gives:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3748) all_66_7 = all_66_45
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_67, all_66_44, e2,
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (3617), (3735) gives:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3749) all_66_44 = all_66_67
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_67, all_66_38, e2,
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (3533), (3735) gives:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3750) all_66_38 = all_66_67
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_44, all_66_35, e2,
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (3617), (3673) gives:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3751) all_66_35 = all_66_44
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_45, all_66_35, e2,
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (3642), (3673) gives:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3752) all_66_35 = all_66_45
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_44, all_66_5, e2,
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (3617), (3706) gives:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3753) all_66_5 = all_66_44
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with e0, all_66_65, e3, e1,
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (3729), (3734) gives:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3754) all_66_65 = e0
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_47, all_66_42, e3,
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (3569), (3571) gives:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3755) all_66_42 = all_66_47
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_47, all_66_37, e3,
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (3570), (3571) gives:
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3756) all_66_37 = all_66_47
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_42, all_66_32, e3,
% 72.47/11.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (3569), (3572) gives:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3757) all_66_32 = all_66_42
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_29, all_66_27, e0,
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (3530), (3687) gives:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3758) all_66_27 = all_66_29
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_27, all_66_24, e0,
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (3530), (3596) gives:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3759) all_66_24 = all_66_27
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_24, all_66_15, e0,
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (3596), (3670) gives:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3760) all_66_15 = all_66_24
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_53, all_66_38, e1,
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (3615), (3657) gives:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3761) all_66_38 = all_66_53
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_38, all_66_26, e1,
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (3529), (3657) gives:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3762) all_66_26 = all_66_38
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_26, all_66_14, e1,
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (3529), (3669) gives:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3763) all_66_14 = all_66_26
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_37, all_66_25, e2,
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (3656), (3658) gives:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3764) all_66_25 = all_66_37
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_51, all_66_25, e2,
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (3614), (3658) gives:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3765) all_66_25 = all_66_51
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with e1, all_66_25, e2, e2,
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (3658), (3672) gives:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3766) all_66_25 = e1
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_31, all_66_26, e3,
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (3567), (3568) gives:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3767) all_66_26 = all_66_31
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_78, all_66_7, e0,
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (3561), (3629) gives:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3768) all_66_7 = all_66_78
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_77, all_66_11, e1,
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (3560), (3643) gives:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3769) all_66_11 = all_66_77
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_14, all_66_1, e1,
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (3708), (3736) gives:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3770) all_66_1 = all_66_14
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_12, all_66_6, e2,
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (3532), (3616) gives:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3771) all_66_6 = all_66_12
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_6, all_66_3, e2,
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (3532), (3671) gives:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3772) all_66_3 = all_66_6
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_41, all_66_3, e2,
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (3557), (3671) gives:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3773) all_66_3 = all_66_41
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_6, all_66_1, e2,
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (3532), (3562) gives:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3774) all_66_1 = all_66_6
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_21, all_66_1, e2,
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (3559), (3562) gives:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3775) all_66_1 = all_66_21
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with e3, all_66_5, e3, e3,
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (3563), (3566) gives:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3776) all_66_5 = e3
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_15, all_66_0, e3,
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (3564), (3565) gives:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3777) all_66_0 = all_66_15
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with e2, all_66_0, e3, e3,
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (3558), (3565) gives:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3778) all_66_0 = e2
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3777), (3778) imply:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3779) all_66_15 = e2
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3779) implies:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3780) all_66_15 = e2
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3774), (3775) imply:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3781) all_66_6 = all_66_21
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3781) implies:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3782) all_66_6 = all_66_21
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3770), (3775) imply:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3783) all_66_14 = all_66_21
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3783) implies:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3784) all_66_14 = all_66_21
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3772), (3773) imply:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3785) all_66_6 = all_66_41
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3785) implies:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3786) all_66_6 = all_66_41
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3753), (3776) imply:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3787) all_66_44 = e3
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3787) implies:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3788) all_66_44 = e3
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3771), (3782) imply:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3789) all_66_12 = all_66_21
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3771), (3786) imply:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3790) all_66_12 = all_66_41
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3748), (3768) imply:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3791) all_66_45 = all_66_78
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3747), (3748) imply:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3792) all_66_34 = all_66_45
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3792) implies:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3793) all_66_34 = all_66_45
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3740), (3769) imply:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3794) all_66_63 = all_66_77
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3794) implies:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3795) all_66_63 = all_66_77
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3789), (3790) imply:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3796) all_66_21 = all_66_41
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3796) implies:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3797) all_66_21 = all_66_41
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3763), (3784) imply:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3798) all_66_21 = all_66_26
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3760), (3780) imply:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3799) all_66_24 = e2
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3799) implies:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3800) all_66_24 = e2
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3797), (3798) imply:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3801) all_66_26 = all_66_41
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3801) implies:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3802) all_66_26 = all_66_41
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3759), (3800) imply:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3803) all_66_27 = e2
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3803) implies:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3804) all_66_27 = e2
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3764), (3765) imply:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3805) all_66_37 = all_66_51
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3764), (3766) imply:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3806) all_66_37 = e1
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3762), (3767) imply:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3807) all_66_31 = all_66_38
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3767), (3802) imply:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3808) all_66_31 = all_66_41
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3758), (3804) imply:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3809) all_66_29 = e2
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3809) implies:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3810) all_66_29 = e2
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3743), (3810) imply:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3811) all_66_73 = e2
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3811) implies:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3812) all_66_73 = e2
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3739), (3808) imply:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3813) all_66_41 = all_66_75
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3807), (3808) imply:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3814) all_66_38 = all_66_41
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3814) implies:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3815) all_66_38 = all_66_41
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3744), (3757) imply:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3816) all_66_42 = all_66_59
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3816) implies:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3817) all_66_42 = all_66_59
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3744), (3745) imply:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3818) all_66_59 = all_66_78
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3741), (3746) imply:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3819) all_66_40 = all_66_61
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3746), (3793) imply:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3820) all_66_40 = all_66_45
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3751), (3752) imply:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3821) all_66_44 = all_66_45
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3821) implies:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3822) all_66_44 = all_66_45
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3738), (3752) imply:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3823) all_66_45 = all_66_63
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3805), (3806) imply:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3824) all_66_51 = e1
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3756), (3805) imply:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3825) all_66_47 = all_66_51
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3825) implies:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3826) all_66_47 = all_66_51
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3750), (3761) imply:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3827) all_66_53 = all_66_67
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3761), (3815) imply:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3828) all_66_41 = all_66_53
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3828) implies:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3829) all_66_41 = all_66_53
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3819), (3820) imply:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3830) all_66_45 = all_66_61
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3813), (3829) imply:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3831) all_66_53 = all_66_75
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3831) implies:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3832) all_66_53 = all_66_75
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3755), (3817) imply:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3833) all_66_47 = all_66_59
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3833) implies:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3834) all_66_47 = all_66_59
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3749), (3822) imply:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3835) all_66_45 = all_66_67
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3788), (3822) imply:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3836) all_66_45 = e3
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3823), (3830) imply:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3837) all_66_61 = all_66_63
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3830), (3836) imply:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3838) all_66_61 = e3
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3830), (3835) imply:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3839) all_66_61 = all_66_67
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3791), (3830) imply:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3840) all_66_61 = all_66_78
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3826), (3834) imply:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3841) all_66_51 = all_66_59
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3841) implies:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3842) all_66_51 = all_66_59
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3824), (3842) imply:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3843) all_66_59 = e1
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3827), (3832) imply:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3844) all_66_67 = all_66_75
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3844) implies:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3845) all_66_67 = all_66_75
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3818), (3843) imply:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3846) all_66_78 = e1
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3846) implies:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3847) all_66_78 = e1
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3837), (3838) imply:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3848) all_66_63 = e3
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3848) implies:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3849) all_66_63 = e3
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3838), (3840) imply:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3850) all_66_78 = e3
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3850) implies:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3851) all_66_78 = e3
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3838), (3839) imply:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3852) all_66_67 = e3
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3852) implies:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3853) all_66_67 = e3
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3737), (3795) imply:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3854) all_66_65 = all_66_77
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3737), (3849) imply:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3855) all_66_65 = e3
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3854), (3855) imply:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3856) all_66_77 = e3
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3754), (3854) imply:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3857) all_66_77 = e0
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3742), (3845) imply:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3858) all_66_73 = all_66_75
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3858) implies:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3859) all_66_73 = all_66_75
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3845), (3853) imply:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3860) all_66_75 = e3
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3812), (3859) imply:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3861) all_66_75 = e2
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3861) implies:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3862) all_66_75 = e2
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3860), (3862) imply:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3863) e3 = e2
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3863) implies:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3864) e3 = e2
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3856), (3857) imply:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3865) e3 = e0
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3865) implies:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3866) e3 = e0
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3847), (3851) imply:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3867) e3 = e1
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3867) implies:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3868) e3 = e1
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (3733), (3864), (3866), (3868) are inconsistent by
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #40.
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3869) all_64_14 = e0
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (551), (3726), (3869) are inconsistent by
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #48.
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.47/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3870) all_64_1 = e0
% 72.47/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (525), (3870) imply:
% 72.47/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3871) all_14_0 = e0
% 72.47/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3684), (3871) imply:
% 72.47/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3872) $false
% 72.47/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3872) is inconsistent.
% 72.47/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.47/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.47/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.47/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.47/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.47/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.47/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.47/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3873) all_64_3 = e1 | all_64_3 = e0
% 72.47/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (529), (3624), (3640), (3873) are inconsistent by
% 72.47/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #20.
% 72.47/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.47/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.47/11.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.03 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.47/11.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | (3874) all_64_9 = e1 | all_64_9 = e0
% 72.47/11.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (542), (3592), (3641), (3874) are inconsistent by
% 72.47/11.03 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #107.
% 72.47/11.03 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.03 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.47/11.03 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.03 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.47/11.03 | | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.03 | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.47/11.03 | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.03 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.47/11.03 | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.03 | | | | | | | | | | | | | | | | | | | | | | (3875) all_64_11 = e0
% 72.47/11.03 | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.03 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (546), (3875) imply:
% 72.47/11.03 | | | | | | | | | | | | | | | | | | | | | | (3876) all_8_0 = e0
% 72.47/11.03 | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.03 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3626), (3876) imply:
% 72.47/11.03 | | | | | | | | | | | | | | | | | | | | | | (3877) $false
% 72.47/11.03 | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.03 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3877) is inconsistent.
% 72.47/11.03 | | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.03 | | | | | | | | | | | | | | | | | | | | | End of split
% 72.47/11.03 | | | | | | | | | | | | | | | | | | | | |
% 72.47/11.03 | | | | | | | | | | | | | | | | | | | | End of split
% 72.47/11.03 | | | | | | | | | | | | | | | | | | | |
% 72.47/11.03 | | | | | | | | | | | | | | | | | | | End of split
% 72.47/11.03 | | | | | | | | | | | | | | | | | | |
% 72.47/11.03 | | | | | | | | | | | | | | | | | | End of split
% 72.47/11.03 | | | | | | | | | | | | | | | | | |
% 72.47/11.03 | | | | | | | | | | | | | | | | | Case 2:
% 72.47/11.03 | | | | | | | | | | | | | | | | | |
% 72.47/11.03 | | | | | | | | | | | | | | | | | | (3878) all_64_12 = e1 | all_64_12 = e0
% 72.47/11.03 | | | | | | | | | | | | | | | | | |
% 72.47/11.03 | | | | | | | | | | | | | | | | | | REF_CLOSE: (684), (3493), (3591), (3878) are inconsistent by
% 72.47/11.03 | | | | | | | | | | | | | | | | | | sub-proof #85.
% 72.47/11.03 | | | | | | | | | | | | | | | | | |
% 72.47/11.03 | | | | | | | | | | | | | | | | | End of split
% 72.47/11.03 | | | | | | | | | | | | | | | | |
% 72.47/11.03 | | | | | | | | | | | | | | | | End of split
% 72.47/11.03 | | | | | | | | | | | | | | | |
% 72.47/11.03 | | | | | | | | | | | | | | | End of split
% 72.47/11.03 | | | | | | | | | | | | | | |
% 72.47/11.03 | | | | | | | | | | | | | | End of split
% 72.47/11.03 | | | | | | | | | | | | | |
% 72.47/11.03 | | | | | | | | | | | | | End of split
% 72.47/11.03 | | | | | | | | | | | | |
% 72.47/11.03 | | | | | | | | | | | | End of split
% 72.47/11.03 | | | | | | | | | | | |
% 72.47/11.03 | | | | | | | | | | | End of split
% 72.47/11.03 | | | | | | | | | | |
% 72.47/11.03 | | | | | | | | | | Case 2:
% 72.47/11.03 | | | | | | | | | | |
% 72.47/11.03 | | | | | | | | | | | (3879) ~ (all_24_1 = e3)
% 72.47/11.03 | | | | | | | | | | |
% 72.47/11.03 | | | | | | | | | | | REDUCE: (3546), (3879) imply:
% 72.47/11.03 | | | | | | | | | | | (3880) $false
% 72.47/11.03 | | | | | | | | | | |
% 72.47/11.03 | | | | | | | | | | | CLOSE: (3880) is inconsistent.
% 72.47/11.03 | | | | | | | | | | |
% 72.47/11.03 | | | | | | | | | | End of split
% 72.47/11.03 | | | | | | | | | |
% 72.47/11.03 | | | | | | | | | Case 2:
% 72.47/11.03 | | | | | | | | | |
% 72.47/11.03 | | | | | | | | | | (3881) ~ (all_20_1 = e3)
% 72.47/11.03 | | | | | | | | | |
% 72.47/11.03 | | | | | | | | | | REDUCE: (3545), (3881) imply:
% 72.47/11.03 | | | | | | | | | | (3882) $false
% 72.47/11.03 | | | | | | | | | |
% 72.47/11.03 | | | | | | | | | | CLOSE: (3882) is inconsistent.
% 72.47/11.03 | | | | | | | | | |
% 72.47/11.03 | | | | | | | | | End of split
% 72.47/11.03 | | | | | | | | |
% 72.47/11.03 | | | | | | | | Case 2:
% 72.47/11.03 | | | | | | | | |
% 72.47/11.03 | | | | | | | | | (3883) all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 &
% 72.47/11.03 | | | | | | | | | all_56_3 = e2
% 72.47/11.03 | | | | | | | | |
% 72.47/11.03 | | | | | | | | | REF_CLOSE: (600), (3528), (3883) are inconsistent by sub-proof
% 72.47/11.03 | | | | | | | | | #68.
% 72.47/11.03 | | | | | | | | |
% 72.47/11.03 | | | | | | | | End of split
% 72.47/11.03 | | | | | | | |
% 72.47/11.03 | | | | | | | Case 2:
% 72.47/11.03 | | | | | | | |
% 72.47/11.03 | | | | | | | | (3884) (all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 &
% 72.47/11.03 | | | | | | | | all_56_3 = e1) | (all_56_0 = e0 & all_56_1 = e0 &
% 72.47/11.03 | | | | | | | | all_56_2 = e0 & all_56_3 = e0)
% 72.47/11.03 | | | | | | | |
% 72.47/11.03 | | | | | | | | BETA: splitting (3884) gives:
% 72.47/11.03 | | | | | | | |
% 72.47/11.03 | | | | | | | | Case 1:
% 72.47/11.03 | | | | | | | | |
% 72.47/11.03 | | | | | | | | | (3885) all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 &
% 72.47/11.03 | | | | | | | | | all_56_3 = e1
% 72.47/11.03 | | | | | | | | |
% 72.47/11.03 | | | | | | | | | REF_CLOSE: (559), (3499), (3885) are inconsistent by sub-proof
% 72.47/11.03 | | | | | | | | | #46.
% 72.47/11.03 | | | | | | | | |
% 72.47/11.03 | | | | | | | | Case 2:
% 72.47/11.03 | | | | | | | | |
% 72.47/11.03 | | | | | | | | | (3886) all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 &
% 72.47/11.03 | | | | | | | | | all_56_3 = e0
% 72.47/11.03 | | | | | | | | |
% 72.47/11.03 | | | | | | | | | REF_CLOSE: (559), (3500), (3886) are inconsistent by sub-proof
% 72.47/11.03 | | | | | | | | | #10.
% 72.47/11.03 | | | | | | | | |
% 72.47/11.03 | | | | | | | | End of split
% 72.47/11.03 | | | | | | | |
% 72.47/11.03 | | | | | | | End of split
% 72.47/11.03 | | | | | | |
% 72.47/11.03 | | | | | | Case 2:
% 72.47/11.03 | | | | | | |
% 72.47/11.03 | | | | | | | (3887) all_64_6 = e1 | all_64_6 = e0
% 72.47/11.03 | | | | | | |
% 72.47/11.03 | | | | | | | REF_CLOSE: (688), (3495), (3519), (3887) are inconsistent by
% 72.47/11.03 | | | | | | | sub-proof #88.
% 72.47/11.03 | | | | | | |
% 72.47/11.03 | | | | | | End of split
% 72.47/11.03 | | | | | |
% 72.47/11.03 | | | | | End of split
% 72.47/11.03 | | | | |
% 72.47/11.03 | | | | Case 2:
% 72.47/11.03 | | | | |
% 72.47/11.03 | | | | | (3888) all_16_0 = e0
% 72.47/11.03 | | | | | (3889) ~ (all_16_1 = e3)
% 72.47/11.03 | | | | |
% 72.47/11.03 | | | | | COMBINE_EQS: (607), (3888) imply:
% 72.47/11.03 | | | | | (3890) all_12_0 = e0
% 72.47/11.03 | | | | |
% 72.47/11.03 | | | | | REDUCE: (750), (3890) imply:
% 72.47/11.03 | | | | | (3891) ~ (all_40_0 = e0)
% 72.47/11.03 | | | | |
% 72.47/11.03 | | | | | REDUCE: (653), (3889) imply:
% 72.47/11.03 | | | | | (3892) ~ (all_12_1 = e3)
% 72.47/11.03 | | | | |
% 72.47/11.03 | | | | | BETA: splitting (163) gives:
% 72.47/11.03 | | | | |
% 72.47/11.03 | | | | | Case 1:
% 72.47/11.03 | | | | | |
% 72.47/11.03 | | | | | | (3893) (all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 & all_56_3
% 72.47/11.03 | | | | | | = e3) | (all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 &
% 72.47/11.03 | | | | | | all_56_3 = e2)
% 72.47/11.03 | | | | | |
% 72.47/11.03 | | | | | | BETA: splitting (3893) gives:
% 72.47/11.03 | | | | | |
% 72.47/11.03 | | | | | | Case 1:
% 72.47/11.03 | | | | | | |
% 72.47/11.03 | | | | | | | (3894) all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 & all_56_3
% 72.47/11.03 | | | | | | | = e3
% 72.47/11.03 | | | | | | |
% 72.47/11.03 | | | | | | | ALPHA: (3894) implies:
% 72.47/11.03 | | | | | | | (3895) all_56_2 = e3
% 72.47/11.03 | | | | | | |
% 72.47/11.03 | | | | | | | COMBINE_EQS: (680), (3895) imply:
% 72.47/11.03 | | | | | | | (3896) all_12_1 = e3
% 72.47/11.03 | | | | | | |
% 72.47/11.03 | | | | | | | REDUCE: (3892), (3896) imply:
% 72.47/11.03 | | | | | | | (3897) $false
% 72.47/11.03 | | | | | | |
% 72.47/11.03 | | | | | | | CLOSE: (3897) is inconsistent.
% 72.47/11.03 | | | | | | |
% 72.47/11.03 | | | | | | Case 2:
% 72.47/11.03 | | | | | | |
% 72.47/11.03 | | | | | | | (3898) all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 & all_56_3
% 72.47/11.03 | | | | | | | = e2
% 72.47/11.03 | | | | | | |
% 72.47/11.03 | | | | | | | ALPHA: (3898) implies:
% 72.47/11.03 | | | | | | | (3899) all_56_3 = e2
% 72.47/11.03 | | | | | | | (3900) all_56_2 = e2
% 72.47/11.03 | | | | | | | (3901) all_56_0 = e2
% 72.47/11.03 | | | | | | |
% 72.47/11.03 | | | | | | | COMBINE_EQS: (559), (3901) imply:
% 72.47/11.03 | | | | | | | (3902) all_4_1 = e2
% 72.47/11.03 | | | | | | |
% 72.47/11.03 | | | | | | | COMBINE_EQS: (680), (3900) imply:
% 72.47/11.03 | | | | | | | (3903) all_12_1 = e2
% 72.47/11.03 | | | | | | |
% 72.47/11.03 | | | | | | | COMBINE_EQS: (679), (3899) imply:
% 72.47/11.03 | | | | | | | (3904) all_8_1 = e2
% 72.47/11.03 | | | | | | |
% 72.47/11.03 | | | | | | | SIMP: (3904) implies:
% 72.47/11.03 | | | | | | | (3905) all_8_1 = e2
% 72.47/11.03 | | | | | | |
% 72.47/11.03 | | | | | | | COMBINE_EQS: (634), (3902) imply:
% 72.47/11.03 | | | | | | | (3906) all_32_1 = e2
% 72.47/11.03 | | | | | | |
% 72.47/11.03 | | | | | | | COMBINE_EQS: (676), (3903) imply:
% 72.47/11.03 | | | | | | | (3907) all_42_1 = e2
% 72.47/11.03 | | | | | | |
% 72.89/11.03 | | | | | | | REDUCE: (759), (3905) imply:
% 72.89/11.03 | | | | | | | (3908) ~ (all_42_0 = e2)
% 72.89/11.03 | | | | | | |
% 72.89/11.03 | | | | | | | REDUCE: (706), (3902) imply:
% 72.89/11.03 | | | | | | | (3909) ~ (all_40_0 = e2)
% 72.89/11.03 | | | | | | |
% 72.89/11.03 | | | | | | | REDUCE: (702), (3902) imply:
% 72.89/11.03 | | | | | | | (3910) ~ (all_28_0 = e2)
% 72.89/11.03 | | | | | | |
% 72.89/11.03 | | | | | | | REDUCE: (3515), (3903) imply:
% 72.89/11.03 | | | | | | | (3911) op(e2, all_40_0) = e2
% 72.89/11.03 | | | | | | |
% 72.89/11.03 | | | | | | | BETA: splitting (105) gives:
% 72.89/11.03 | | | | | | |
% 72.89/11.03 | | | | | | | Case 1:
% 72.89/11.03 | | | | | | | |
% 72.89/11.03 | | | | | | | | (3912) ~ (all_32_0 = e0)
% 72.89/11.03 | | | | | | | |
% 72.89/11.03 | | | | | | | | REDUCE: (595), (3912) imply:
% 72.89/11.03 | | | | | | | | (3913) ~ (all_4_0 = e0)
% 72.89/11.03 | | | | | | | |
% 72.89/11.03 | | | | | | | | BETA: splitting (125) gives:
% 72.89/11.03 | | | | | | | |
% 72.89/11.03 | | | | | | | | Case 1:
% 72.89/11.03 | | | | | | | | |
% 72.89/11.03 | | | | | | | | | (3914) ~ (all_42_0 = e3)
% 72.89/11.03 | | | | | | | | |
% 72.89/11.03 | | | | | | | | | BETA: splitting (279) gives:
% 72.89/11.03 | | | | | | | | |
% 72.89/11.03 | | | | | | | | | Case 1:
% 72.89/11.03 | | | | | | | | | |
% 72.89/11.03 | | | | | | | | | | (3915) all_64_2 = e3
% 72.89/11.03 | | | | | | | | | |
% 72.89/11.03 | | | | | | | | | | COMBINE_EQS: (494), (3915) imply:
% 72.89/11.03 | | | | | | | | | | (3916) all_40_0 = e3
% 72.89/11.03 | | | | | | | | | |
% 72.89/11.03 | | | | | | | | | | REDUCE: (3911), (3916) imply:
% 72.89/11.03 | | | | | | | | | | (3917) op(e2, e3) = e2
% 72.89/11.03 | | | | | | | | | |
% 72.89/11.03 | | | | | | | | | | GROUND_INST: instantiating (45) with e1, e2, e3, e2,
% 72.89/11.03 | | | | | | | | | | simplifying with (3505), (3917) gives:
% 72.89/11.03 | | | | | | | | | | (3918) e2 = e1
% 72.89/11.03 | | | | | | | | | |
% 72.89/11.03 | | | | | | | | | | REDUCE: (15), (3918) imply:
% 72.89/11.03 | | | | | | | | | | (3919) $false
% 72.89/11.03 | | | | | | | | | |
% 72.89/11.03 | | | | | | | | | | CLOSE: (3919) is inconsistent.
% 72.89/11.03 | | | | | | | | | |
% 72.89/11.03 | | | | | | | | | Case 2:
% 72.89/11.03 | | | | | | | | | |
% 72.89/11.03 | | | | | | | | | | (3920) all_64_2 = e2 | all_64_2 = e1 | all_64_2 = e0
% 72.89/11.03 | | | | | | | | | |
% 72.89/11.03 | | | | | | | | | | REF_CLOSE: (268), (270), (273), (494), (551), (684), (686),
% 72.89/11.03 | | | | | | | | | | (719), (728), (752), (903), (3493), (3497),
% 72.89/11.03 | | | | | | | | | | (3891), (3908), (3909), (3910), (3913), (3914),
% 72.89/11.03 | | | | | | | | | | (3920) are inconsistent by sub-proof #13.
% 72.89/11.03 | | | | | | | | | |
% 72.89/11.03 | | | | | | | | | End of split
% 72.89/11.03 | | | | | | | | |
% 72.89/11.03 | | | | | | | | Case 2:
% 72.89/11.03 | | | | | | | | |
% 72.89/11.03 | | | | | | | | | (3921) ~ (all_42_1 = e2)
% 72.89/11.03 | | | | | | | | |
% 72.89/11.03 | | | | | | | | | REDUCE: (3907), (3921) imply:
% 72.89/11.03 | | | | | | | | | (3922) $false
% 72.89/11.03 | | | | | | | | |
% 72.89/11.03 | | | | | | | | | CLOSE: (3922) is inconsistent.
% 72.89/11.03 | | | | | | | | |
% 72.89/11.03 | | | | | | | | End of split
% 72.89/11.03 | | | | | | | |
% 72.89/11.03 | | | | | | | Case 2:
% 72.89/11.03 | | | | | | | |
% 72.89/11.03 | | | | | | | | (3923) ~ (all_32_1 = e2)
% 72.89/11.03 | | | | | | | |
% 72.89/11.04 | | | | | | | | REDUCE: (3906), (3923) imply:
% 72.89/11.04 | | | | | | | | (3924) $false
% 72.89/11.04 | | | | | | | |
% 72.89/11.04 | | | | | | | | CLOSE: (3924) is inconsistent.
% 72.89/11.04 | | | | | | | |
% 72.89/11.04 | | | | | | | End of split
% 72.89/11.04 | | | | | | |
% 72.89/11.04 | | | | | | End of split
% 72.89/11.04 | | | | | |
% 72.89/11.04 | | | | | Case 2:
% 72.89/11.04 | | | | | |
% 72.89/11.04 | | | | | | (3925) (all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 & all_56_3
% 72.89/11.04 | | | | | | = e1) | (all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 &
% 72.89/11.04 | | | | | | all_56_3 = e0)
% 72.89/11.04 | | | | | |
% 72.89/11.04 | | | | | | BETA: splitting (3925) gives:
% 72.89/11.04 | | | | | |
% 72.89/11.04 | | | | | | Case 1:
% 72.89/11.04 | | | | | | |
% 72.89/11.04 | | | | | | | (3926) all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 & all_56_3
% 72.89/11.04 | | | | | | | = e1
% 72.89/11.04 | | | | | | |
% 72.89/11.04 | | | | | | | REF_CLOSE: (559), (3499), (3926) are inconsistent by sub-proof
% 72.89/11.04 | | | | | | | #46.
% 72.89/11.04 | | | | | | |
% 72.89/11.04 | | | | | | Case 2:
% 72.89/11.04 | | | | | | |
% 72.89/11.04 | | | | | | | (3927) all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 & all_56_3
% 72.89/11.04 | | | | | | | = e0
% 72.89/11.04 | | | | | | |
% 72.89/11.04 | | | | | | | REF_CLOSE: (559), (3500), (3927) are inconsistent by sub-proof
% 72.89/11.04 | | | | | | | #10.
% 72.89/11.04 | | | | | | |
% 72.89/11.04 | | | | | | End of split
% 72.89/11.04 | | | | | |
% 72.89/11.04 | | | | | End of split
% 72.89/11.04 | | | | |
% 72.89/11.04 | | | | End of split
% 72.89/11.04 | | | |
% 72.89/11.04 | | | Case 2:
% 72.89/11.04 | | | |
% 72.89/11.04 | | | | (3928) all_12_0 = e3
% 72.89/11.04 | | | |
% 72.89/11.04 | | | | REDUCE: (756), (3928) imply:
% 72.89/11.04 | | | | (3929) ~ (all_42_0 = e3)
% 72.89/11.04 | | | |
% 72.89/11.04 | | | | REDUCE: (750), (3928) imply:
% 72.89/11.04 | | | | (3930) ~ (all_40_0 = e3)
% 72.89/11.04 | | | |
% 72.89/11.04 | | | | REDUCE: (741), (3928) imply:
% 72.89/11.04 | | | | (3931) ~ (all_10_1 = e3)
% 72.89/11.04 | | | |
% 72.89/11.04 | | | | SIMP: (3931) implies:
% 72.89/11.04 | | | | (3932) ~ (all_10_1 = e3)
% 72.89/11.04 | | | |
% 72.89/11.04 | | | | BETA: splitting (163) gives:
% 72.89/11.04 | | | |
% 72.89/11.04 | | | | Case 1:
% 72.89/11.04 | | | | |
% 72.89/11.04 | | | | | (3933) (all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 & all_56_3 =
% 72.89/11.04 | | | | | e3) | (all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 &
% 72.89/11.04 | | | | | all_56_3 = e2)
% 72.89/11.04 | | | | |
% 72.89/11.04 | | | | | BETA: splitting (3933) gives:
% 72.89/11.04 | | | | |
% 72.89/11.04 | | | | | Case 1:
% 72.89/11.04 | | | | | |
% 72.89/11.04 | | | | | | (3934) all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 & all_56_3 =
% 72.89/11.04 | | | | | | e3
% 72.89/11.04 | | | | | |
% 72.89/11.04 | | | | | | REF_CLOSE: (600), (3932), (3934) are inconsistent by sub-proof #69.
% 72.89/11.04 | | | | | |
% 72.89/11.04 | | | | | Case 2:
% 72.89/11.04 | | | | | |
% 72.89/11.04 | | | | | | (3935) all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 & all_56_3 =
% 72.89/11.04 | | | | | | e2
% 72.89/11.04 | | | | | |
% 72.89/11.04 | | | | | | ALPHA: (3935) implies:
% 72.89/11.04 | | | | | | (3936) all_56_3 = e2
% 72.89/11.04 | | | | | | (3937) all_56_2 = e2
% 72.89/11.04 | | | | | | (3938) all_56_0 = e2
% 72.89/11.04 | | | | | |
% 72.89/11.04 | | | | | | COMBINE_EQS: (559), (3938) imply:
% 72.89/11.04 | | | | | | (3939) all_4_1 = e2
% 72.89/11.04 | | | | | |
% 72.89/11.04 | | | | | | COMBINE_EQS: (680), (3937) imply:
% 72.89/11.04 | | | | | | (3940) all_12_1 = e2
% 72.89/11.04 | | | | | |
% 72.89/11.04 | | | | | | COMBINE_EQS: (679), (3936) imply:
% 72.89/11.04 | | | | | | (3941) all_8_1 = e2
% 72.89/11.04 | | | | | |
% 72.89/11.04 | | | | | | SIMP: (3941) implies:
% 72.89/11.04 | | | | | | (3942) all_8_1 = e2
% 72.89/11.04 | | | | | |
% 72.89/11.04 | | | | | | COMBINE_EQS: (634), (3939) imply:
% 72.89/11.04 | | | | | | (3943) all_32_1 = e2
% 72.89/11.04 | | | | | |
% 72.89/11.04 | | | | | | COMBINE_EQS: (451), (3940) imply:
% 72.89/11.04 | | | | | | (3944) all_40_1 = e2
% 72.89/11.04 | | | | | |
% 72.89/11.04 | | | | | | REDUCE: (759), (3942) imply:
% 72.89/11.04 | | | | | | (3945) ~ (all_42_0 = e2)
% 72.89/11.04 | | | | | |
% 72.89/11.04 | | | | | | REDUCE: (706), (3939) imply:
% 72.89/11.04 | | | | | | (3946) ~ (all_40_0 = e2)
% 72.89/11.04 | | | | | |
% 72.89/11.04 | | | | | | REDUCE: (702), (3939) imply:
% 72.89/11.04 | | | | | | (3947) ~ (all_28_0 = e2)
% 72.89/11.04 | | | | | |
% 72.89/11.04 | | | | | | BETA: splitting (121) gives:
% 72.89/11.04 | | | | | |
% 72.89/11.04 | | | | | | Case 1:
% 72.89/11.04 | | | | | | |
% 72.89/11.04 | | | | | | | (3948) ~ (all_40_0 = e0)
% 72.89/11.04 | | | | | | |
% 72.89/11.04 | | | | | | | REF_CLOSE: (105), (268), (270), (273), (279), (494), (551), (595),
% 72.89/11.04 | | | | | | | (684), (686), (719), (728), (752), (903), (3493),
% 72.89/11.04 | | | | | | | (3497), (3929), (3930), (3943), (3945), (3946), (3947),
% 72.89/11.04 | | | | | | | (3948) are inconsistent by sub-proof #12.
% 72.89/11.04 | | | | | | |
% 72.89/11.04 | | | | | | Case 2:
% 72.89/11.04 | | | | | | |
% 72.89/11.04 | | | | | | | (3949) ~ (all_40_1 = e2)
% 72.89/11.04 | | | | | | |
% 72.89/11.04 | | | | | | | REDUCE: (3944), (3949) imply:
% 72.89/11.04 | | | | | | | (3950) $false
% 72.89/11.04 | | | | | | |
% 72.89/11.04 | | | | | | | CLOSE: (3950) is inconsistent.
% 72.89/11.04 | | | | | | |
% 72.89/11.04 | | | | | | End of split
% 72.89/11.04 | | | | | |
% 72.89/11.04 | | | | | End of split
% 72.89/11.04 | | | | |
% 72.89/11.04 | | | | Case 2:
% 72.89/11.04 | | | | |
% 72.89/11.04 | | | | | (3951) (all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 & all_56_3 =
% 72.89/11.04 | | | | | e1) | (all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 &
% 72.89/11.04 | | | | | all_56_3 = e0)
% 72.89/11.04 | | | | |
% 72.89/11.04 | | | | | BETA: splitting (3951) gives:
% 72.89/11.04 | | | | |
% 72.89/11.04 | | | | | Case 1:
% 72.89/11.04 | | | | | |
% 72.89/11.04 | | | | | | (3952) all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 & all_56_3 =
% 72.89/11.04 | | | | | | e1
% 72.89/11.04 | | | | | |
% 72.89/11.04 | | | | | | REF_CLOSE: (559), (3499), (3952) are inconsistent by sub-proof #46.
% 72.89/11.04 | | | | | |
% 72.89/11.04 | | | | | Case 2:
% 72.89/11.04 | | | | | |
% 72.89/11.04 | | | | | | (3953) all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 & all_56_3 =
% 72.89/11.04 | | | | | | e0
% 72.89/11.04 | | | | | |
% 72.89/11.04 | | | | | | REF_CLOSE: (559), (3500), (3953) are inconsistent by sub-proof #10.
% 72.89/11.04 | | | | | |
% 72.89/11.04 | | | | | End of split
% 72.89/11.04 | | | | |
% 72.89/11.04 | | | | End of split
% 72.89/11.04 | | | |
% 72.89/11.04 | | | End of split
% 72.89/11.04 | | |
% 72.89/11.05 | | End of split
% 72.89/11.05 | |
% 72.89/11.05 | Case 2:
% 72.89/11.05 | |
% 72.89/11.05 | | (3954) all_4_0 = e2
% 72.89/11.05 | | (3955) ~ (all_4_1 = e0)
% 72.89/11.05 | |
% 72.89/11.05 | | REDUCE: (719), (3954) imply:
% 72.89/11.05 | | (3956) ~ (all_28_0 = e2)
% 72.89/11.05 | |
% 72.89/11.05 | | REDUCE: (721), (3954) imply:
% 72.89/11.05 | | (3957) ~ (all_10_0 = e2)
% 72.89/11.05 | |
% 72.89/11.05 | | REDUCE: (725), (3954) imply:
% 72.89/11.05 | | (3958) ~ (all_8_0 = e2)
% 72.89/11.05 | |
% 72.89/11.05 | | REDUCE: (709), (3954) imply:
% 72.89/11.05 | | (3959) ~ (all_6_0 = e2)
% 72.89/11.05 | |
% 72.89/11.05 | | REDUCE: (700), (3954) imply:
% 72.89/11.05 | | (3960) ~ (all_4_1 = e2)
% 72.89/11.05 | |
% 72.89/11.05 | | SIMP: (3960) implies:
% 72.89/11.05 | | (3961) ~ (all_4_1 = e2)
% 72.89/11.05 | |
% 72.89/11.05 | | REDUCE: (803), (3954) imply:
% 72.89/11.05 | | (3962) op(e2, e3) = all_66_32
% 72.89/11.05 | |
% 72.89/11.05 | | REDUCE: (806), (3954) imply:
% 72.89/11.05 | | (3963) op(e2, e0) = all_66_35
% 72.89/11.05 | |
% 72.89/11.05 | | REDUCE: (843), (3954) imply:
% 72.89/11.05 | | (3964) op(e3, e2) = all_66_8
% 72.89/11.05 | |
% 72.89/11.05 | | REDUCE: (877), (3954) imply:
% 72.89/11.05 | | (3965) op(e1, e2) = all_66_40
% 72.89/11.05 | |
% 72.89/11.05 | | REDUCE: (47), (3954) imply:
% 72.89/11.05 | | (3966) op(e1, e3) = e2
% 72.89/11.05 | |
% 72.89/11.05 | | REDUCE: (894), (3954) imply:
% 72.89/11.05 | | (3967) op(e0, e2) = all_66_65
% 72.89/11.05 | |
% 72.89/11.05 | | GROUND_INST: instantiating (45) with all_20_0, all_66_65, e2, e0,
% 72.89/11.05 | | simplifying with (79), (3967) gives:
% 72.89/11.05 | | (3968) all_66_65 = all_20_0
% 72.89/11.05 | |
% 72.89/11.05 | | GROUND_INST: instantiating (45) with all_10_0, all_66_40, e2, e1,
% 72.89/11.05 | | simplifying with (59), (3965) gives:
% 72.89/11.05 | | (3969) all_66_40 = all_10_0
% 72.89/11.05 | |
% 72.89/11.05 | | GROUND_INST: instantiating (45) with all_22_0, all_66_35, e0, e2,
% 72.89/11.05 | | simplifying with (84), (3963) gives:
% 72.89/11.05 | | (3970) all_66_35 = all_22_0
% 72.89/11.05 | |
% 72.89/11.05 | | GROUND_INST: instantiating (45) with all_6_0, all_66_32, e3, e2, simplifying
% 72.89/11.05 | | with (51), (3962) gives:
% 72.89/11.05 | | (3971) all_66_32 = all_6_0
% 72.89/11.05 | |
% 72.89/11.05 | | GROUND_INST: instantiating (45) with all_14_0, all_66_8, e2, e3, simplifying
% 72.89/11.05 | | with (68), (3964) gives:
% 72.89/11.05 | | (3972) all_66_8 = all_14_0
% 72.89/11.05 | |
% 72.89/11.05 | | REDUCE: (827), (3968) imply:
% 72.89/11.05 | | (3973) op(all_42_0, e3) = all_20_0
% 72.89/11.05 | |
% 72.89/11.05 | | REDUCE: (779), (3972) imply:
% 72.89/11.05 | | (3974) op(all_40_0, e3) = all_14_0
% 72.89/11.05 | |
% 72.89/11.05 | | REDUCE: (811), (3969) imply:
% 72.89/11.05 | | (3975) op(all_12_1, e3) = all_10_0
% 72.89/11.05 | |
% 72.89/11.05 | | REDUCE: (872), (3970) imply:
% 72.89/11.05 | | (3976) op(e1, all_36_0) = all_22_0
% 72.89/11.05 | |
% 72.89/11.05 | | REDUCE: (869), (3971) imply:
% 72.89/11.05 | | (3977) op(e1, all_4_1) = all_6_0
% 72.89/11.05 | |
% 72.89/11.05 | | BETA: splitting (57) gives:
% 72.89/11.05 | |
% 72.89/11.05 | | Case 1:
% 72.89/11.05 | | |
% 72.89/11.05 | | | (3978) ~ (all_8_0 = e3)
% 72.89/11.05 | | |
% 72.89/11.05 | | | BETA: splitting (61) gives:
% 72.89/11.05 | | |
% 72.89/11.05 | | | Case 1:
% 72.89/11.05 | | | |
% 72.89/11.05 | | | | (3979) ~ (all_10_0 = e3)
% 72.89/11.05 | | | |
% 72.89/11.05 | | | | BETA: splitting (69) gives:
% 72.89/11.05 | | | |
% 72.89/11.05 | | | | Case 1:
% 72.89/11.05 | | | | |
% 72.89/11.05 | | | | | (3980) ~ (all_14_0 = e0)
% 72.89/11.05 | | | | |
% 72.89/11.05 | | | | | BETA: splitting (77) gives:
% 72.89/11.05 | | | | |
% 72.89/11.05 | | | | | Case 1:
% 72.89/11.05 | | | | | |
% 72.89/11.05 | | | | | | (3981) ~ (all_18_0 = e0)
% 72.89/11.05 | | | | | |
% 72.89/11.05 | | | | | | REDUCE: (602), (3981) imply:
% 72.89/11.05 | | | | | | (3982) ~ (all_10_0 = e0)
% 72.89/11.05 | | | | | |
% 72.89/11.05 | | | | | | BETA: splitting (272) gives:
% 72.89/11.05 | | | | | |
% 72.89/11.05 | | | | | | Case 1:
% 72.89/11.05 | | | | | | |
% 72.89/11.05 | | | | | | | (3983) all_64_9 = e3
% 72.89/11.05 | | | | | | |
% 72.89/11.05 | | | | | | | COMBINE_EQS: (542), (3983) imply:
% 72.89/11.05 | | | | | | | (3984) all_10_0 = e3
% 72.89/11.05 | | | | | | |
% 72.89/11.05 | | | | | | | REDUCE: (3979), (3984) imply:
% 72.89/11.05 | | | | | | | (3985) $false
% 72.89/11.05 | | | | | | |
% 72.89/11.05 | | | | | | | CLOSE: (3985) is inconsistent.
% 72.89/11.05 | | | | | | |
% 72.89/11.05 | | | | | | Case 2:
% 72.89/11.05 | | | | | | |
% 72.89/11.05 | | | | | | | (3986) all_64_9 = e2 | all_64_9 = e1 | all_64_9 = e0
% 72.89/11.05 | | | | | | |
% 72.89/11.05 | | | | | | | BETA: splitting (3986) gives:
% 72.89/11.05 | | | | | | |
% 72.89/11.05 | | | | | | | Case 1:
% 72.89/11.05 | | | | | | | |
% 72.89/11.05 | | | | | | | | (3987) all_64_9 = e2
% 72.89/11.05 | | | | | | | |
% 72.89/11.05 | | | | | | | | COMBINE_EQS: (542), (3987) imply:
% 72.89/11.05 | | | | | | | | (3988) all_10_0 = e2
% 72.89/11.05 | | | | | | | |
% 72.89/11.05 | | | | | | | | REDUCE: (3957), (3988) imply:
% 72.89/11.05 | | | | | | | | (3989) $false
% 72.89/11.05 | | | | | | | |
% 72.89/11.05 | | | | | | | | CLOSE: (3989) is inconsistent.
% 72.89/11.05 | | | | | | | |
% 72.89/11.05 | | | | | | | Case 2:
% 72.89/11.05 | | | | | | | |
% 72.89/11.05 | | | | | | | | (3990) all_64_9 = e1 | all_64_9 = e0
% 72.89/11.05 | | | | | | | |
% 72.89/11.05 | | | | | | | | BETA: splitting (3990) gives:
% 72.89/11.05 | | | | | | | |
% 72.89/11.05 | | | | | | | | Case 1:
% 72.89/11.05 | | | | | | | | |
% 72.89/11.05 | | | | | | | | | (3991) all_64_9 = e1
% 72.89/11.05 | | | | | | | | |
% 72.89/11.05 | | | | | | | | | COMBINE_EQS: (542), (3991) imply:
% 72.89/11.05 | | | | | | | | | (3992) all_10_0 = e1
% 72.89/11.05 | | | | | | | | |
% 72.89/11.05 | | | | | | | | | REDUCE: (745), (3992) imply:
% 72.89/11.05 | | | | | | | | | (3993) ~ (all_20_0 = e1)
% 72.89/11.05 | | | | | | | | |
% 72.89/11.05 | | | | | | | | | REDUCE: (731), (3992) imply:
% 72.89/11.05 | | | | | | | | | (3994) ~ (all_14_0 = e1)
% 72.89/11.05 | | | | | | | | |
% 72.89/11.05 | | | | | | | | | REDUCE: (739), (3992) imply:
% 72.89/11.05 | | | | | | | | | (3995) ~ (all_10_1 = e1)
% 72.89/11.05 | | | | | | | | |
% 72.89/11.05 | | | | | | | | | SIMP: (3995) implies:
% 72.89/11.05 | | | | | | | | | (3996) ~ (all_10_1 = e1)
% 72.89/11.05 | | | | | | | | |
% 72.89/11.05 | | | | | | | | | BETA: splitting (163) gives:
% 72.89/11.05 | | | | | | | | |
% 72.89/11.05 | | | | | | | | | Case 1:
% 72.89/11.05 | | | | | | | | | |
% 72.89/11.05 | | | | | | | | | | (3997) (all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 &
% 72.89/11.05 | | | | | | | | | | all_56_3 = e3) | (all_56_0 = e2 & all_56_1 = e2
% 72.89/11.05 | | | | | | | | | | & all_56_2 = e2 & all_56_3 = e2)
% 72.89/11.05 | | | | | | | | | |
% 72.89/11.05 | | | | | | | | | | BETA: splitting (3997) gives:
% 72.89/11.05 | | | | | | | | | |
% 72.89/11.05 | | | | | | | | | | Case 1:
% 72.89/11.05 | | | | | | | | | | |
% 72.89/11.05 | | | | | | | | | | | (3998) all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 &
% 72.89/11.05 | | | | | | | | | | | all_56_3 = e3
% 72.89/11.05 | | | | | | | | | | |
% 72.89/11.05 | | | | | | | | | | | ALPHA: (3998) implies:
% 72.89/11.05 | | | | | | | | | | | (3999) all_56_3 = e3
% 72.89/11.05 | | | | | | | | | | | (4000) all_56_2 = e3
% 72.89/11.05 | | | | | | | | | | | (4001) all_56_0 = e3
% 72.89/11.05 | | | | | | | | | | |
% 72.89/11.05 | | | | | | | | | | | COMBINE_EQS: (559), (4001) imply:
% 72.89/11.05 | | | | | | | | | | | (4002) all_4_1 = e3
% 72.89/11.05 | | | | | | | | | | |
% 72.89/11.05 | | | | | | | | | | | REF_CLOSE: (141), (268), (269), (270), (280), (525), (550),
% 72.89/11.05 | | | | | | | | | | | (551), (611), (678), (679), (680), (684), (702),
% 72.89/11.05 | | | | | | | | | | | (704), (726), (728), (733), (748), (749), (759),
% 72.89/11.05 | | | | | | | | | | | (3956), (3980), (3993), (3994), (3999), (4000),
% 72.89/11.05 | | | | | | | | | | | (4002) are inconsistent by sub-proof #55.
% 72.89/11.05 | | | | | | | | | | |
% 72.89/11.05 | | | | | | | | | | Case 2:
% 72.89/11.05 | | | | | | | | | | |
% 72.89/11.05 | | | | | | | | | | | (4003) all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 &
% 72.89/11.05 | | | | | | | | | | | all_56_3 = e2
% 72.89/11.05 | | | | | | | | | | |
% 72.89/11.05 | | | | | | | | | | | REF_CLOSE: (559), (3961), (4003) are inconsistent by
% 72.89/11.05 | | | | | | | | | | | sub-proof #7.
% 72.89/11.05 | | | | | | | | | | |
% 72.89/11.05 | | | | | | | | | | End of split
% 72.89/11.05 | | | | | | | | | |
% 72.89/11.05 | | | | | | | | | Case 2:
% 72.89/11.05 | | | | | | | | | |
% 72.89/11.05 | | | | | | | | | | (4004) (all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 &
% 72.89/11.05 | | | | | | | | | | all_56_3 = e1) | (all_56_0 = e0 & all_56_1 = e0
% 72.89/11.05 | | | | | | | | | | & all_56_2 = e0 & all_56_3 = e0)
% 72.89/11.05 | | | | | | | | | |
% 72.89/11.05 | | | | | | | | | | BETA: splitting (4004) gives:
% 72.89/11.05 | | | | | | | | | |
% 72.89/11.05 | | | | | | | | | | Case 1:
% 72.89/11.05 | | | | | | | | | | |
% 72.89/11.05 | | | | | | | | | | | (4005) all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 &
% 72.89/11.05 | | | | | | | | | | | all_56_3 = e1
% 72.89/11.05 | | | | | | | | | | |
% 72.89/11.05 | | | | | | | | | | | REF_CLOSE: (600), (3996), (4005) are inconsistent by
% 72.89/11.05 | | | | | | | | | | | sub-proof #71.
% 72.89/11.05 | | | | | | | | | | |
% 72.89/11.06 | | | | | | | | | | Case 2:
% 72.89/11.06 | | | | | | | | | | |
% 72.89/11.06 | | | | | | | | | | | (4006) all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 &
% 72.89/11.06 | | | | | | | | | | | all_56_3 = e0
% 72.89/11.06 | | | | | | | | | | |
% 72.89/11.06 | | | | | | | | | | | REF_CLOSE: (559), (3955), (4006) are inconsistent by
% 72.89/11.06 | | | | | | | | | | | sub-proof #10.
% 72.89/11.06 | | | | | | | | | | |
% 72.89/11.06 | | | | | | | | | | End of split
% 72.89/11.06 | | | | | | | | | |
% 72.89/11.06 | | | | | | | | | End of split
% 72.89/11.06 | | | | | | | | |
% 72.89/11.06 | | | | | | | | Case 2:
% 72.89/11.06 | | | | | | | | |
% 72.89/11.06 | | | | | | | | | (4007) all_64_9 = e0
% 72.89/11.06 | | | | | | | | |
% 72.89/11.06 | | | | | | | | | COMBINE_EQS: (542), (4007) imply:
% 72.89/11.06 | | | | | | | | | (4008) all_10_0 = e0
% 72.89/11.06 | | | | | | | | |
% 72.89/11.06 | | | | | | | | | REDUCE: (3982), (4008) imply:
% 72.89/11.06 | | | | | | | | | (4009) $false
% 72.89/11.06 | | | | | | | | |
% 72.89/11.06 | | | | | | | | | CLOSE: (4009) is inconsistent.
% 72.89/11.06 | | | | | | | | |
% 72.89/11.06 | | | | | | | | End of split
% 72.89/11.06 | | | | | | | |
% 72.89/11.06 | | | | | | | End of split
% 72.89/11.06 | | | | | | |
% 72.89/11.06 | | | | | | End of split
% 72.89/11.06 | | | | | |
% 72.89/11.06 | | | | | Case 2:
% 72.89/11.06 | | | | | |
% 72.89/11.06 | | | | | | (4010) all_18_0 = e0
% 72.89/11.06 | | | | | | (4011) ~ (all_18_1 = e3)
% 72.89/11.06 | | | | | |
% 72.89/11.06 | | | | | | COMBINE_EQS: (602), (4010) imply:
% 72.89/11.06 | | | | | | (4012) all_10_0 = e0
% 72.89/11.06 | | | | | |
% 72.89/11.06 | | | | | | SIMP: (4012) implies:
% 72.89/11.06 | | | | | | (4013) all_10_0 = e0
% 72.89/11.06 | | | | | |
% 72.89/11.06 | | | | | | REDUCE: (669), (4011) imply:
% 72.89/11.06 | | | | | | (4014) ~ (all_10_1 = e3)
% 72.89/11.06 | | | | | |
% 72.89/11.06 | | | | | | REDUCE: (746), (4013) imply:
% 72.89/11.06 | | | | | | (4015) ~ (all_8_0 = e0)
% 72.89/11.06 | | | | | |
% 72.89/11.06 | | | | | | SIMP: (4015) implies:
% 72.89/11.06 | | | | | | (4016) ~ (all_8_0 = e0)
% 72.89/11.06 | | | | | |
% 72.89/11.06 | | | | | | REF_CLOSE: (163), (271), (546), (559), (600), (679), (764), (3955),
% 72.89/11.06 | | | | | | (3958), (3961), (3978), (4014), (4016) are inconsistent
% 72.89/11.06 | | | | | | by sub-proof #6.
% 72.89/11.06 | | | | | |
% 72.89/11.06 | | | | | End of split
% 72.89/11.06 | | | | |
% 72.89/11.06 | | | | Case 2:
% 72.89/11.06 | | | | |
% 72.89/11.06 | | | | | (4017) all_14_0 = e0
% 72.89/11.06 | | | | | (4018) ~ (all_14_1 = e1)
% 72.89/11.06 | | | | |
% 72.89/11.06 | | | | | REDUCE: (735), (4017) imply:
% 72.89/11.06 | | | | | (4019) ~ (all_40_0 = e0)
% 72.89/11.06 | | | | |
% 72.89/11.06 | | | | | REDUCE: (733), (4017) imply:
% 72.89/11.06 | | | | | (4020) ~ (all_20_0 = e0)
% 72.89/11.06 | | | | |
% 72.89/11.06 | | | | | REDUCE: (731), (4017) imply:
% 72.89/11.06 | | | | | (4021) ~ (all_10_0 = e0)
% 72.89/11.06 | | | | |
% 72.89/11.06 | | | | | SIMP: (4021) implies:
% 72.89/11.06 | | | | | (4022) ~ (all_10_0 = e0)
% 72.89/11.06 | | | | |
% 72.89/11.06 | | | | | REDUCE: (704), (4017) imply:
% 72.89/11.06 | | | | | (4023) ~ (all_4_1 = e0)
% 72.89/11.06 | | | | |
% 72.89/11.06 | | | | | REDUCE: (671), (4018) imply:
% 72.89/11.06 | | | | | (4024) ~ (all_10_1 = e1)
% 72.89/11.06 | | | | |
% 72.89/11.06 | | | | | REDUCE: (777), (4017) imply:
% 72.89/11.06 | | | | | (4025) op(e0, e1) = all_66_6
% 72.89/11.06 | | | | |
% 72.89/11.06 | | | | | REDUCE: (778), (4017) imply:
% 72.89/11.06 | | | | | (4026) op(e0, e0) = all_66_7
% 72.89/11.06 | | | | |
% 72.89/11.06 | | | | | REDUCE: (836), (4017) imply:
% 72.89/11.06 | | | | | (4027) op(e3, e0) = all_66_1
% 72.89/11.06 | | | | |
% 72.89/11.06 | | | | | REDUCE: (853), (4017) imply:
% 72.89/11.06 | | | | | (4028) op(e2, e0) = all_66_17
% 72.89/11.06 | | | | |
% 72.89/11.06 | | | | | REDUCE: (887), (4017) imply:
% 72.89/11.06 | | | | | (4029) op(e0, e0) = all_66_51
% 72.89/11.06 | | | | |
% 72.89/11.06 | | | | | BETA: splitting (272) gives:
% 72.89/11.06 | | | | |
% 72.89/11.06 | | | | | Case 1:
% 72.89/11.06 | | | | | |
% 72.89/11.06 | | | | | | (4030) all_64_9 = e3
% 72.89/11.06 | | | | | |
% 72.89/11.06 | | | | | | COMBINE_EQS: (542), (4030) imply:
% 72.89/11.06 | | | | | | (4031) all_10_0 = e3
% 72.89/11.06 | | | | | |
% 72.89/11.06 | | | | | | REDUCE: (3979), (4031) imply:
% 72.89/11.06 | | | | | | (4032) $false
% 72.89/11.06 | | | | | |
% 72.89/11.06 | | | | | | CLOSE: (4032) is inconsistent.
% 72.89/11.06 | | | | | |
% 72.89/11.06 | | | | | Case 2:
% 72.89/11.06 | | | | | |
% 72.89/11.06 | | | | | | (4033) all_64_9 = e2 | all_64_9 = e1 | all_64_9 = e0
% 72.89/11.06 | | | | | |
% 72.89/11.06 | | | | | | BETA: splitting (163) gives:
% 72.89/11.06 | | | | | |
% 72.89/11.06 | | | | | | Case 1:
% 72.89/11.06 | | | | | | |
% 72.89/11.06 | | | | | | | (4034) (all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 &
% 72.89/11.06 | | | | | | | all_56_3 = e3) | (all_56_0 = e2 & all_56_1 = e2 &
% 72.89/11.06 | | | | | | | all_56_2 = e2 & all_56_3 = e2)
% 72.89/11.06 | | | | | | |
% 72.89/11.06 | | | | | | | BETA: splitting (4034) gives:
% 72.89/11.06 | | | | | | |
% 72.89/11.06 | | | | | | | Case 1:
% 72.89/11.06 | | | | | | | |
% 72.89/11.06 | | | | | | | | (4035) all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 &
% 72.89/11.06 | | | | | | | | all_56_3 = e3
% 72.89/11.06 | | | | | | | |
% 72.89/11.06 | | | | | | | | ALPHA: (4035) implies:
% 72.89/11.06 | | | | | | | | (4036) all_56_3 = e3
% 72.89/11.06 | | | | | | | | (4037) all_56_2 = e3
% 72.89/11.06 | | | | | | | | (4038) all_56_1 = e3
% 72.89/11.06 | | | | | | | | (4039) all_56_0 = e3
% 72.89/11.06 | | | | | | | |
% 72.89/11.06 | | | | | | | | COMBINE_EQS: (559), (4039) imply:
% 72.89/11.06 | | | | | | | | (4040) all_4_1 = e3
% 72.89/11.06 | | | | | | | |
% 72.89/11.06 | | | | | | | | COMBINE_EQS: (600), (4038) imply:
% 72.89/11.06 | | | | | | | | (4041) all_10_1 = e3
% 72.89/11.06 | | | | | | | |
% 72.89/11.06 | | | | | | | | COMBINE_EQS: (680), (4037) imply:
% 72.89/11.06 | | | | | | | | (4042) all_12_1 = e3
% 72.89/11.06 | | | | | | | |
% 72.89/11.06 | | | | | | | | COMBINE_EQS: (679), (4036) imply:
% 72.89/11.06 | | | | | | | | (4043) all_8_1 = e3
% 72.89/11.06 | | | | | | | |
% 72.89/11.06 | | | | | | | | SIMP: (4043) implies:
% 72.89/11.06 | | | | | | | | (4044) all_8_1 = e3
% 72.89/11.06 | | | | | | | |
% 72.89/11.06 | | | | | | | | COMBINE_EQS: (653), (4042) imply:
% 72.89/11.06 | | | | | | | | (4045) all_16_1 = e3
% 72.89/11.06 | | | | | | | |
% 72.89/11.06 | | | | | | | | COMBINE_EQS: (646), (4041) imply:
% 72.89/11.06 | | | | | | | | (4046) all_20_1 = e3
% 72.89/11.06 | | | | | | | |
% 72.89/11.06 | | | | | | | | COMBINE_EQS: (667), (4044) imply:
% 72.89/11.06 | | | | | | | | (4047) all_22_1 = e3
% 72.89/11.06 | | | | | | | |
% 72.89/11.06 | | | | | | | | REDUCE: (759), (4044) imply:
% 72.89/11.06 | | | | | | | | (4048) ~ (all_42_0 = e3)
% 72.89/11.06 | | | | | | | |
% 72.89/11.06 | | | | | | | | REDUCE: (706), (4040) imply:
% 72.89/11.06 | | | | | | | | (4049) ~ (all_40_0 = e3)
% 72.89/11.06 | | | | | | | |
% 72.89/11.06 | | | | | | | | REDUCE: (708), (4040) imply:
% 72.89/11.06 | | | | | | | | (4050) ~ (all_36_0 = e3)
% 72.89/11.06 | | | | | | | |
% 72.89/11.06 | | | | | | | | REDUCE: (702), (4040) imply:
% 72.89/11.06 | | | | | | | | (4051) ~ (all_28_0 = e3)
% 72.89/11.06 | | | | | | | |
% 72.89/11.06 | | | | | | | | REDUCE: (763), (4044) imply:
% 72.89/11.06 | | | | | | | | (4052) ~ (all_22_0 = e3)
% 72.89/11.06 | | | | | | | |
% 72.89/11.06 | | | | | | | | REDUCE: (749), (4044) imply:
% 72.89/11.06 | | | | | | | | (4053) ~ (all_20_0 = e3)
% 72.89/11.06 | | | | | | | |
% 72.89/11.06 | | | | | | | | REDUCE: (741), (4041) imply:
% 72.89/11.06 | | | | | | | | (4054) ~ (all_12_0 = e3)
% 72.89/11.06 | | | | | | | |
% 72.89/11.06 | | | | | | | | REDUCE: (698), (4040) imply:
% 72.89/11.06 | | | | | | | | (4055) ~ (all_6_0 = e3)
% 72.89/11.06 | | | | | | | |
% 72.89/11.06 | | | | | | | | REDUCE: (814), (4042) imply:
% 72.89/11.06 | | | | | | | | (4056) op(e3, e0) = all_66_43
% 72.89/11.06 | | | | | | | |
% 72.89/11.06 | | | | | | | | REDUCE: (792), (4041) imply:
% 72.89/11.06 | | | | | | | | (4057) op(e3, e2) = all_66_21
% 72.89/11.06 | | | | | | | |
% 72.89/11.06 | | | | | | | | REDUCE: (793), (4041) imply:
% 72.89/11.06 | | | | | | | | (4058) op(e3, e1) = all_66_22
% 72.89/11.06 | | | | | | | |
% 72.89/11.06 | | | | | | | | REDUCE: (794), (4041) imply:
% 72.89/11.06 | | | | | | | | (4059) op(e3, e0) = all_66_23
% 72.89/11.06 | | | | | | | |
% 72.89/11.06 | | | | | | | | REDUCE: (831), (4044) imply:
% 72.89/11.06 | | | | | | | | (4060) op(e3, e3) = all_66_73
% 72.89/11.06 | | | | | | | |
% 72.89/11.06 | | | | | | | | REDUCE: (832), (4044) imply:
% 72.89/11.06 | | | | | | | | (4061) op(e3, e2) = all_66_75
% 72.89/11.06 | | | | | | | |
% 72.89/11.06 | | | | | | | | REDUCE: (833), (4044) imply:
% 72.89/11.06 | | | | | | | | (4062) op(e3, e1) = all_66_77
% 72.89/11.06 | | | | | | | |
% 72.89/11.06 | | | | | | | | REDUCE: (834), (4044) imply:
% 72.89/11.06 | | | | | | | | (4063) op(e3, e0) = all_66_78
% 72.89/11.06 | | | | | | | |
% 72.89/11.06 | | | | | | | | REDUCE: (772), (4040) imply:
% 72.89/11.06 | | | | | | | | (4064) op(e3, e2) = all_66_1
% 72.89/11.06 | | | | | | | |
% 72.89/11.06 | | | | | | | | REDUCE: (773), (4040) imply:
% 72.89/11.06 | | | | | | | | (4065) op(e3, e1) = all_66_2
% 72.89/11.06 | | | | | | | |
% 72.89/11.06 | | | | | | | | REDUCE: (774), (4040) imply:
% 72.89/11.06 | | | | | | | | (4066) op(e3, e0) = all_66_3
% 72.89/11.06 | | | | | | | |
% 72.89/11.06 | | | | | | | | REDUCE: (845), (4042) imply:
% 72.89/11.06 | | | | | | | | (4067) op(e3, e3) = all_66_10
% 72.89/11.06 | | | | | | | |
% 72.89/11.06 | | | | | | | | REDUCE: (48), (4040) imply:
% 72.89/11.06 | | | | | | | | (4068) op(e3, e3) = e3
% 72.89/11.06 | | | | | | | |
% 72.89/11.06 | | | | | | | | REDUCE: (874), (4041) imply:
% 72.89/11.06 | | | | | | | | (4069) op(e1, e3) = all_66_37
% 72.89/11.06 | | | | | | | |
% 72.89/11.06 | | | | | | | | REDUCE: (884), (4044) imply:
% 72.89/11.07 | | | | | | | | (4070) op(e1, e3) = all_66_47
% 72.89/11.07 | | | | | | | |
% 72.89/11.07 | | | | | | | | REDUCE: (3977), (4040) imply:
% 72.89/11.07 | | | | | | | | (4071) op(e1, e3) = all_6_0
% 72.89/11.07 | | | | | | | |
% 72.89/11.07 | | | | | | | | REDUCE: (896), (4042) imply:
% 72.89/11.07 | | | | | | | | (4072) op(e0, e3) = all_66_69
% 72.89/11.07 | | | | | | | |
% 72.89/11.07 | | | | | | | | REDUCE: (901), (4044) imply:
% 72.89/11.07 | | | | | | | | (4073) op(e0, e3) = all_66_78
% 72.89/11.07 | | | | | | | |
% 72.89/11.07 | | | | | | | | REDUCE: (886), (4040) imply:
% 72.89/11.07 | | | | | | | | (4074) op(e0, e3) = all_66_49
% 72.89/11.07 | | | | | | | |
% 72.89/11.07 | | | | | | | | BETA: splitting (73) gives:
% 72.89/11.07 | | | | | | | |
% 72.89/11.07 | | | | | | | | Case 1:
% 72.89/11.07 | | | | | | | | |
% 72.89/11.07 | | | | | | | | | (4075) ~ (all_16_0 = e0)
% 72.89/11.07 | | | | | | | | |
% 72.89/11.07 | | | | | | | | | REDUCE: (607), (4075) imply:
% 72.89/11.07 | | | | | | | | | (4076) ~ (all_12_0 = e0)
% 72.89/11.07 | | | | | | | | |
% 72.89/11.07 | | | | | | | | | BETA: splitting (85) gives:
% 72.89/11.07 | | | | | | | | |
% 72.89/11.07 | | | | | | | | | Case 1:
% 72.89/11.07 | | | | | | | | | |
% 72.89/11.07 | | | | | | | | | | (4077) ~ (all_22_0 = e1)
% 72.89/11.07 | | | | | | | | | |
% 72.89/11.07 | | | | | | | | | | BETA: splitting (81) gives:
% 72.89/11.07 | | | | | | | | | |
% 72.89/11.07 | | | | | | | | | | Case 1:
% 72.89/11.07 | | | | | | | | | | |
% 72.89/11.07 | | | | | | | | | | | (4078) ~ (all_20_0 = e1)
% 72.89/11.07 | | | | | | | | | | |
% 72.89/11.07 | | | | | | | | | | | BETA: splitting (4033) gives:
% 72.89/11.07 | | | | | | | | | | |
% 72.89/11.07 | | | | | | | | | | | Case 1:
% 72.89/11.07 | | | | | | | | | | | |
% 72.89/11.07 | | | | | | | | | | | | (4079) all_64_9 = e2
% 72.89/11.07 | | | | | | | | | | | |
% 72.89/11.07 | | | | | | | | | | | | COMBINE_EQS: (542), (4079) imply:
% 72.89/11.07 | | | | | | | | | | | | (4080) all_10_0 = e2
% 72.89/11.07 | | | | | | | | | | | |
% 72.89/11.07 | | | | | | | | | | | | REDUCE: (3957), (4080) imply:
% 72.89/11.07 | | | | | | | | | | | | (4081) $false
% 72.89/11.07 | | | | | | | | | | | |
% 72.89/11.07 | | | | | | | | | | | | CLOSE: (4081) is inconsistent.
% 72.89/11.07 | | | | | | | | | | | |
% 72.89/11.07 | | | | | | | | | | | Case 2:
% 72.89/11.07 | | | | | | | | | | | |
% 72.89/11.07 | | | | | | | | | | | | (4082) all_64_9 = e1 | all_64_9 = e0
% 72.89/11.07 | | | | | | | | | | | |
% 72.89/11.07 | | | | | | | | | | | | BETA: splitting (269) gives:
% 72.89/11.07 | | | | | | | | | | | |
% 72.89/11.07 | | | | | | | | | | | | Case 1:
% 72.89/11.07 | | | | | | | | | | | | |
% 72.89/11.07 | | | | | | | | | | | | | (4083) all_64_13 = e3
% 72.89/11.07 | | | | | | | | | | | | |
% 72.89/11.07 | | | | | | | | | | | | | COMBINE_EQS: (550), (4083) imply:
% 72.89/11.07 | | | | | | | | | | | | | (4084) all_20_0 = e3
% 72.89/11.07 | | | | | | | | | | | | |
% 72.89/11.07 | | | | | | | | | | | | | REDUCE: (4053), (4084) imply:
% 72.89/11.07 | | | | | | | | | | | | | (4085) $false
% 72.89/11.07 | | | | | | | | | | | | |
% 72.89/11.07 | | | | | | | | | | | | | CLOSE: (4085) is inconsistent.
% 72.89/11.07 | | | | | | | | | | | | |
% 72.89/11.07 | | | | | | | | | | | | Case 2:
% 72.89/11.07 | | | | | | | | | | | | |
% 72.89/11.07 | | | | | | | | | | | | | (4086) all_64_13 = e2 | all_64_13 = e1 | all_64_13 = e0
% 72.89/11.07 | | | | | | | | | | | | |
% 72.89/11.07 | | | | | | | | | | | | | BETA: splitting (4086) gives:
% 72.89/11.07 | | | | | | | | | | | | |
% 72.89/11.07 | | | | | | | | | | | | | Case 1:
% 72.89/11.07 | | | | | | | | | | | | | |
% 72.89/11.07 | | | | | | | | | | | | | | (4087) all_64_13 = e2
% 72.89/11.07 | | | | | | | | | | | | | |
% 72.89/11.07 | | | | | | | | | | | | | | COMBINE_EQS: (550), (4087) imply:
% 72.89/11.07 | | | | | | | | | | | | | | (4088) all_20_0 = e2
% 72.89/11.07 | | | | | | | | | | | | | |
% 72.89/11.07 | | | | | | | | | | | | | | REDUCE: (3973), (4088) imply:
% 72.89/11.07 | | | | | | | | | | | | | | (4089) op(all_42_0, e3) = e2
% 72.89/11.07 | | | | | | | | | | | | | |
% 72.89/11.07 | | | | | | | | | | | | | | REDUCE: (824), (4088) imply:
% 72.89/11.07 | | | | | | | | | | | | | | (4090) op(e2, e2) = all_66_59
% 72.89/11.07 | | | | | | | | | | | | | |
% 72.89/11.07 | | | | | | | | | | | | | | REDUCE: (825), (4088) imply:
% 72.89/11.07 | | | | | | | | | | | | | | (4091) op(e2, e1) = all_66_61
% 72.89/11.07 | | | | | | | | | | | | | |
% 72.89/11.07 | | | | | | | | | | | | | | REDUCE: (826), (4088) imply:
% 72.89/11.07 | | | | | | | | | | | | | | (4092) op(e2, e0) = all_66_63
% 72.89/11.07 | | | | | | | | | | | | | |
% 72.89/11.07 | | | | | | | | | | | | | | REDUCE: (848), (4088) imply:
% 72.89/11.07 | | | | | | | | | | | | | | (4093) op(e3, e2) = all_66_13
% 72.89/11.07 | | | | | | | | | | | | | |
% 72.89/11.07 | | | | | | | | | | | | | | REDUCE: (882), (4088) imply:
% 72.89/11.07 | | | | | | | | | | | | | | (4094) op(e1, e2) = all_66_45
% 72.89/11.07 | | | | | | | | | | | | | |
% 72.89/11.07 | | | | | | | | | | | | | | BETA: splitting (4082) gives:
% 72.89/11.07 | | | | | | | | | | | | | |
% 72.89/11.07 | | | | | | | | | | | | | | Case 1:
% 72.89/11.07 | | | | | | | | | | | | | | |
% 72.89/11.07 | | | | | | | | | | | | | | | (4095) all_64_9 = e1
% 72.89/11.07 | | | | | | | | | | | | | | |
% 72.89/11.07 | | | | | | | | | | | | | | | COMBINE_EQS: (542), (4095) imply:
% 72.89/11.07 | | | | | | | | | | | | | | | (4096) all_10_0 = e1
% 72.89/11.07 | | | | | | | | | | | | | | |
% 72.89/11.07 | | | | | | | | | | | | | | | REDUCE: (746), (4096) imply:
% 72.89/11.07 | | | | | | | | | | | | | | | (4097) ~ (all_8_0 = e1)
% 72.89/11.07 | | | | | | | | | | | | | | |
% 72.89/11.07 | | | | | | | | | | | | | | | SIMP: (4097) implies:
% 72.89/11.07 | | | | | | | | | | | | | | | (4098) ~ (all_8_0 = e1)
% 72.89/11.07 | | | | | | | | | | | | | | |
% 72.89/11.07 | | | | | | | | | | | | | | | REDUCE: (807), (4096) imply:
% 72.89/11.07 | | | | | | | | | | | | | | | (4099) op(e1, e3) = all_66_36
% 72.89/11.07 | | | | | | | | | | | | | | |
% 72.89/11.07 | | | | | | | | | | | | | | | REDUCE: (808), (4096) imply:
% 72.89/11.07 | | | | | | | | | | | | | | | (4100) op(e1, e2) = all_66_37
% 72.89/11.07 | | | | | | | | | | | | | | |
% 72.89/11.07 | | | | | | | | | | | | | | | REDUCE: (861), (4096) imply:
% 72.89/11.07 | | | | | | | | | | | | | | | (4101) op(e2, e1) = all_66_25
% 72.89/11.07 | | | | | | | | | | | | | | |
% 72.89/11.07 | | | | | | | | | | | | | | | REDUCE: (895), (4096) imply:
% 72.89/11.07 | | | | | | | | | | | | | | | (4102) op(e0, e1) = all_66_67
% 72.89/11.07 | | | | | | | | | | | | | | |
% 72.89/11.07 | | | | | | | | | | | | | | | BETA: splitting (271) gives:
% 72.89/11.07 | | | | | | | | | | | | | | |
% 72.89/11.07 | | | | | | | | | | | | | | | Case 1:
% 72.89/11.07 | | | | | | | | | | | | | | | |
% 72.89/11.07 | | | | | | | | | | | | | | | | (4103) all_64_11 = e3
% 72.89/11.07 | | | | | | | | | | | | | | | |
% 72.89/11.07 | | | | | | | | | | | | | | | | COMBINE_EQS: (546), (4103) imply:
% 72.89/11.07 | | | | | | | | | | | | | | | | (4104) all_8_0 = e3
% 72.89/11.07 | | | | | | | | | | | | | | | |
% 72.89/11.07 | | | | | | | | | | | | | | | | REDUCE: (3978), (4104) imply:
% 72.89/11.07 | | | | | | | | | | | | | | | | (4105) $false
% 72.89/11.07 | | | | | | | | | | | | | | | |
% 72.89/11.07 | | | | | | | | | | | | | | | | CLOSE: (4105) is inconsistent.
% 72.89/11.07 | | | | | | | | | | | | | | | |
% 72.89/11.07 | | | | | | | | | | | | | | | Case 2:
% 72.89/11.07 | | | | | | | | | | | | | | | |
% 72.89/11.07 | | | | | | | | | | | | | | | | (4106) all_64_11 = e2 | all_64_11 = e1 | all_64_11 = e0
% 72.89/11.07 | | | | | | | | | | | | | | | |
% 72.89/11.07 | | | | | | | | | | | | | | | | BETA: splitting (4106) gives:
% 72.89/11.07 | | | | | | | | | | | | | | | |
% 72.89/11.07 | | | | | | | | | | | | | | | | Case 1:
% 72.89/11.07 | | | | | | | | | | | | | | | | |
% 72.89/11.07 | | | | | | | | | | | | | | | | | (4107) all_64_11 = e2
% 72.89/11.07 | | | | | | | | | | | | | | | | |
% 72.89/11.07 | | | | | | | | | | | | | | | | | COMBINE_EQS: (546), (4107) imply:
% 72.89/11.07 | | | | | | | | | | | | | | | | | (4108) all_8_0 = e2
% 72.89/11.07 | | | | | | | | | | | | | | | | |
% 72.89/11.07 | | | | | | | | | | | | | | | | | REDUCE: (3958), (4108) imply:
% 72.89/11.07 | | | | | | | | | | | | | | | | | (4109) $false
% 72.89/11.07 | | | | | | | | | | | | | | | | |
% 72.89/11.07 | | | | | | | | | | | | | | | | | CLOSE: (4109) is inconsistent.
% 72.89/11.07 | | | | | | | | | | | | | | | | |
% 72.89/11.07 | | | | | | | | | | | | | | | | Case 2:
% 72.89/11.07 | | | | | | | | | | | | | | | | |
% 72.89/11.07 | | | | | | | | | | | | | | | | | (4110) all_64_11 = e1 | all_64_11 = e0
% 72.89/11.07 | | | | | | | | | | | | | | | | |
% 72.89/11.07 | | | | | | | | | | | | | | | | | BETA: splitting (4110) gives:
% 72.89/11.07 | | | | | | | | | | | | | | | | |
% 72.89/11.07 | | | | | | | | | | | | | | | | | Case 1:
% 72.89/11.07 | | | | | | | | | | | | | | | | | |
% 72.89/11.07 | | | | | | | | | | | | | | | | | | (4111) all_64_11 = e1
% 72.89/11.07 | | | | | | | | | | | | | | | | | |
% 72.89/11.07 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (546), (4111) imply:
% 72.89/11.07 | | | | | | | | | | | | | | | | | | (4112) all_8_0 = e1
% 72.89/11.07 | | | | | | | | | | | | | | | | | |
% 72.89/11.07 | | | | | | | | | | | | | | | | | | REDUCE: (4098), (4112) imply:
% 72.89/11.07 | | | | | | | | | | | | | | | | | | (4113) $false
% 72.89/11.07 | | | | | | | | | | | | | | | | | |
% 72.89/11.07 | | | | | | | | | | | | | | | | | | CLOSE: (4113) is inconsistent.
% 72.89/11.07 | | | | | | | | | | | | | | | | | |
% 72.89/11.07 | | | | | | | | | | | | | | | | | Case 2:
% 72.89/11.07 | | | | | | | | | | | | | | | | | |
% 72.89/11.07 | | | | | | | | | | | | | | | | | | (4114) all_64_11 = e0
% 72.89/11.07 | | | | | | | | | | | | | | | | | |
% 72.89/11.07 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (546), (4114) imply:
% 72.89/11.07 | | | | | | | | | | | | | | | | | | (4115) all_8_0 = e0
% 72.89/11.07 | | | | | | | | | | | | | | | | | |
% 72.89/11.07 | | | | | | | | | | | | | | | | | | REDUCE: (761), (4115) imply:
% 72.89/11.07 | | | | | | | | | | | | | | | | | | (4116) ~ (all_36_0 = e0)
% 72.89/11.07 | | | | | | | | | | | | | | | | | |
% 72.89/11.07 | | | | | | | | | | | | | | | | | | REDUCE: (762), (4115) imply:
% 72.89/11.07 | | | | | | | | | | | | | | | | | | (4117) ~ (all_22_0 = e0)
% 72.89/11.07 | | | | | | | | | | | | | | | | | |
% 72.89/11.07 | | | | | | | | | | | | | | | | | | REDUCE: (816), (4115) imply:
% 72.89/11.07 | | | | | | | | | | | | | | | | | | (4118) op(e0, e2) = all_66_45
% 72.89/11.07 | | | | | | | | | | | | | | | | | |
% 72.89/11.07 | | | | | | | | | | | | | | | | | | REDUCE: (817), (4115) imply:
% 72.89/11.07 | | | | | | | | | | | | | | | | | | (4119) op(e0, e1) = all_66_46
% 72.89/11.07 | | | | | | | | | | | | | | | | | |
% 72.89/11.07 | | | | | | | | | | | | | | | | | | REDUCE: (818), (4115) imply:
% 72.89/11.07 | | | | | | | | | | | | | | | | | | (4120) op(e0, e0) = all_66_47
% 72.89/11.07 | | | | | | | | | | | | | | | | | |
% 72.89/11.07 | | | | | | | | | | | | | | | | | | REDUCE: (846), (4115) imply:
% 72.89/11.07 | | | | | | | | | | | | | | | | | | (4121) op(e3, e0) = all_66_11
% 72.89/11.07 | | | | | | | | | | | | | | | | | |
% 72.89/11.07 | | | | | | | | | | | | | | | | | | REDUCE: (863), (4115) imply:
% 72.89/11.07 | | | | | | | | | | | | | | | | | | (4122) op(e2, e0) = all_66_27
% 72.89/11.07 | | | | | | | | | | | | | | | | | |
% 72.89/11.07 | | | | | | | | | | | | | | | | | | BETA: splitting (274) gives:
% 72.89/11.07 | | | | | | | | | | | | | | | | | |
% 72.89/11.07 | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/11.07 | | | | | | | | | | | | | | | | | | |
% 72.89/11.07 | | | | | | | | | | | | | | | | | | | (4123) all_64_7 = e3
% 72.89/11.07 | | | | | | | | | | | | | | | | | | |
% 72.89/11.07 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (687), (4123) imply:
% 72.89/11.07 | | | | | | | | | | | | | | | | | | | (4124) all_22_0 = e3
% 72.89/11.07 | | | | | | | | | | | | | | | | | | |
% 72.89/11.07 | | | | | | | | | | | | | | | | | | | REDUCE: (4052), (4124) imply:
% 72.89/11.07 | | | | | | | | | | | | | | | | | | | (4125) $false
% 72.89/11.07 | | | | | | | | | | | | | | | | | | |
% 72.89/11.07 | | | | | | | | | | | | | | | | | | | CLOSE: (4125) is inconsistent.
% 72.89/11.07 | | | | | | | | | | | | | | | | | | |
% 72.89/11.07 | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/11.07 | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | (4126) all_64_7 = e2 | all_64_7 = e1 | all_64_7 = e0
% 72.89/11.08 | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | BETA: splitting (4126) gives:
% 72.89/11.08 | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | (4127) all_64_7 = e2
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (687), (4127) imply:
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | (4128) all_22_0 = e2
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | REDUCE: (760), (4128) imply:
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | (4129) ~ (all_36_0 = e2)
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | REDUCE: (758), (4128) imply:
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | (4130) ~ (all_12_0 = e2)
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | SIMP: (4130) implies:
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | (4131) ~ (all_12_0 = e2)
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | REDUCE: (717), (4128) imply:
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | (4132) ~ (all_6_0 = e2)
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | REDUCE: (800), (4128) imply:
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | (4133) op(e2, e2) = all_66_29
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | REDUCE: (801), (4128) imply:
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | (4134) op(e2, e1) = all_66_30
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | REDUCE: (802), (4128) imply:
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | (4135) op(e2, e0) = all_66_31
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | REDUCE: (859), (4128) imply:
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | (4136) op(e2, e2) = all_66_23
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | REDUCE: (876), (4128) imply:
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | (4137) op(e1, e2) = all_66_39
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | REDUCE: (893), (4128) imply:
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | (4138) op(e0, e2) = all_66_63
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | BETA: splitting (275) gives:
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | (4139) all_64_6 = e3
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (688), (4139) imply:
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | (4140) all_12_0 = e3
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | REDUCE: (4054), (4140) imply:
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | (4141) $false
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | CLOSE: (4141) is inconsistent.
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | (4142) all_64_6 = e2 | all_64_6 = e1 | all_64_6 = e0
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (278) gives:
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | (4143) all_64_3 = e3
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (529), (4143) imply:
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | (4144) all_36_0 = e3
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4050), (4144) imply:
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | (4145) $false
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4145) is inconsistent.
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | (4146) all_64_3 = e2 | all_64_3 = e1 | all_64_3 = e0
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4146) gives:
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | (4147) all_64_3 = e2
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (529), (4147) imply:
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | (4148) all_36_0 = e2
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4129), (4148) imply:
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | (4149) $false
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4149) is inconsistent.
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | (4150) all_64_3 = e1 | all_64_3 = e0
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4150) gives:
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | (4151) all_64_3 = e1
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (529), (4151) imply:
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | (4152) all_36_0 = e1
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (753), (4152) imply:
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | (4153) ~ (all_40_0 = e1)
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (784), (4152) imply:
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | (4154) op(e1, e2) = all_66_13
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (838), (4152) imply:
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | (4155) op(e3, e1) = all_66_3
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (112), (4152) imply:
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | (4156) op(e3, e0) = e1
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4142) gives:
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | (4157) all_64_6 = e2
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (688), (4157) imply:
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | (4158) all_12_0 = e2
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4131), (4158) imply:
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | (4159) $false
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4159) is inconsistent.
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | (4160) all_64_6 = e1 | all_64_6 = e0
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (279) gives:
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (4161) all_64_2 = e3
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (4161) imply:
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (4162) all_40_0 = e3
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4049), (4162) imply:
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (4163) $false
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4163) is inconsistent.
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | (4164) all_64_2 = e2 | all_64_2 = e1 | all_64_2 = e0
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4164) gives:
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4165) all_64_2 = e2
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (4165) imply:
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4166) all_40_0 = e2
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (752), (4166) imply:
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4167) ~ (all_42_0 = e2)
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (782), (4166) imply:
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4168) op(e2, e0) = all_66_11
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (854), (4166) imply:
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4169) op(e2, e2) = all_66_18
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4160) gives:
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4170) all_64_6 = e1
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (688), (4170) imply:
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4171) all_12_0 = e1
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (756), (4171) imply:
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4172) ~ (all_42_0 = e1)
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (715), (4171) imply:
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4173) ~ (all_6_0 = e1)
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4173) implies:
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4174) ~ (all_6_0 = e1)
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (796), (4171) imply:
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4175) op(e1, e2) = all_66_25
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (798), (4171) imply:
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4176) op(e1, e0) = all_66_27
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (841), (4171) imply:
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4177) op(e3, e1) = all_66_6
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (858), (4171) imply:
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4178) op(e2, e1) = all_66_22
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (892), (4171) imply:
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4179) op(e0, e1) = all_66_61
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (277) gives:
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4180) all_64_4 = e3
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (689), (4180) imply:
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4181) all_6_0 = e3
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4055), (4181) imply:
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4182) $false
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4182) is inconsistent.
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4183) all_64_4 = e2 | all_64_4 = e1 | all_64_4 = e0
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4183) gives:
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4184) all_64_4 = e2
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (689), (4184) imply:
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4185) all_6_0 = e2
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3959), (4185) imply:
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4186) $false
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4186) is inconsistent.
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4187) all_64_4 = e1 | all_64_4 = e0
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (268) gives:
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4188) all_64_14 = e3
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (551), (4188) imply:
% 72.89/11.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4189) all_42_0 = e3
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4048), (4189) imply:
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4190) $false
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4190) is inconsistent.
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4191) all_64_14 = e2 | all_64_14 = e1 | all_64_14 = e0
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4191) gives:
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4192) all_64_14 = e2
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (551), (4192) imply:
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4193) all_42_0 = e2
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4167), (4193) imply:
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4194) $false
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4194) is inconsistent.
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4195) all_64_14 = e1 | all_64_14 = e0
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4187) gives:
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4196) all_64_4 = e1
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (689), (4196) imply:
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4197) all_6_0 = e1
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4174), (4197) imply:
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4198) $false
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4198) is inconsistent.
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4199) all_64_4 = e0
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (689), (4199) imply:
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4200) all_6_0 = e0
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (788), (4200) imply:
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4201) op(e0, e2) = all_66_17
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (789), (4200) imply:
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4202) op(e0, e1) = all_66_18
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (839), (4200) imply:
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4203) op(e3, e0) = all_66_4
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (873), (4200) imply:
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4204) op(e1, e0) = all_66_36
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4071), (4200) imply:
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4205) op(e1, e3) = e0
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4195) gives:
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4206) all_64_14 = e1
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (551), (4206) imply:
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4207) all_42_0 = e1
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4172), (4207) imply:
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4208) $false
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4208) is inconsistent.
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4209) all_64_14 = e0
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (551), (4209) imply:
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4210) all_42_0 = e0
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (728), (4210) imply:
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4211) ~ (all_28_0 = e0)
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4211) implies:
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4212) ~ (all_28_0 = e0)
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4089), (4210) imply:
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4213) op(e0, e3) = e2
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (828), (4210) imply:
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4214) op(e0, e2) = all_66_67
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (829), (4210) imply:
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4215) op(e0, e1) = all_66_69
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (849), (4210) imply:
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4216) op(e3, e0) = all_66_14
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (866), (4210) imply:
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4217) op(e2, e0) = all_66_30
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (270) gives:
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4218) all_64_12 = e3
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (684), (4051), (4218) are inconsistent by
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #86.
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4219) all_64_12 = e2 | all_64_12 = e1 | all_64_12 = e0
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4219) gives:
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4220) all_64_12 = e2
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (684), (3956), (4220) are inconsistent by
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #42.
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4221) all_64_12 = e1 | all_64_12 = e0
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4221) gives:
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4222) all_64_12 = e1
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (684), (4222) imply:
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4223) all_28_0 = e1
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4223) implies:
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4224) all_28_0 = e1
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4212), (4224) imply:
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4225) ~ (e1 = e0)
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (819), (4224) imply:
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4226) op(e1, e3) = all_66_49
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (820), (4224) imply:
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4227) op(e1, e2) = all_66_51
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (822), (4224) imply:
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4228) op(e1, e0) = all_66_55
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (898), (4224) imply:
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4229) op(e0, e1) = all_66_73
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_47, all_66_7, e0,
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (4026), (4120) gives:
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4230) all_66_7 = all_66_47
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_51, all_66_7, e0,
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (4026), (4029) gives:
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4231) all_66_7 = all_66_51
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_69, all_66_67, e1,
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (4102), (4215) gives:
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4232) all_66_67 = all_66_69
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_73, all_66_61, e1,
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (4179), (4229) gives:
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4233) all_66_61 = all_66_73
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_46, all_66_18, e1,
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (4119), (4202) gives:
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4234) all_66_18 = all_66_46
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_61, all_66_18, e1,
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (4179), (4202) gives:
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4235) all_66_18 = all_66_61
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_18, all_66_6, e1,
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (4025), (4202) gives:
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4236) all_66_6 = all_66_18
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_67, all_66_63, e2,
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (4138), (4214) gives:
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4237) all_66_63 = all_66_67
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_45, all_66_17, e2,
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (4118), (4201) gives:
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4238) all_66_17 = all_66_45
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with e2, all_66_78, e3, e0,
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (4073), (4213) gives:
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4239) all_66_78 = e2
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_69, all_66_49, e3,
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (4072), (4074) gives:
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4240) all_66_49 = all_66_69
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_55, all_66_36, e0,
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (4204), (4228) gives:
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4241) all_66_36 = all_66_55
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_36, all_66_27, e0,
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (4176), (4204) gives:
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4242) all_66_27 = all_66_36
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_45, all_66_39, e2,
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (4094), (4137) gives:
% 72.89/11.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4243) all_66_39 = all_66_45
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_51, all_66_39, e2,
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (4137), (4227) gives:
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4244) all_66_39 = all_66_51
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_37, all_66_25, e2,
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (4100), (4175) gives:
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4245) all_66_25 = all_66_37
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_25, all_66_13, e2,
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (4154), (4175) gives:
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4246) all_66_13 = all_66_25
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with e2, e0, e3, e1,
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (3966), (4205) gives:
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4247) e2 = e0
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_49, all_66_37, e3,
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (4069), (4226) gives:
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4248) all_66_37 = all_66_49
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_47, all_66_36, e3,
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (4070), (4099) gives:
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4249) all_66_36 = all_66_47
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_31, all_66_30, e0,
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (4135), (4217) gives:
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4250) all_66_30 = all_66_31
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_63, all_66_27, e0,
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (4092), (4122) gives:
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4251) all_66_27 = all_66_63
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_30, all_66_17, e0,
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (4028), (4217) gives:
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4252) all_66_17 = all_66_30
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_27, all_66_11, e0,
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (4122), (4168) gives:
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4253) all_66_11 = all_66_27
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_61, all_66_25, e1,
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (4091), (4101) gives:
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4254) all_66_25 = all_66_61
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_30, all_66_22, e1,
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (4134), (4178) gives:
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4255) all_66_22 = all_66_30
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_29, all_66_23, e2,
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (4133), (4136) gives:
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4256) all_66_23 = all_66_29
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_59, all_66_23, e2,
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (4090), (4136) gives:
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4257) all_66_23 = all_66_59
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_23, all_66_18, e2,
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (4136), (4169) gives:
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4258) all_66_18 = all_66_23
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_78, all_66_23, e0,
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (4059), (4063) gives:
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4259) all_66_23 = all_66_78
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_14, all_66_11, e0,
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (4121), (4216) gives:
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4260) all_66_11 = all_66_14
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_11, all_66_4, e0,
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (4121), (4203) gives:
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4261) all_66_4 = all_66_11
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_43, all_66_4, e0,
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (4056), (4203) gives:
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4262) all_66_4 = all_66_43
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with e1, all_66_3, e0, e3,
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (4066), (4156) gives:
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4263) all_66_3 = e1
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_11, all_66_1, e0,
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (4027), (4121) gives:
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4264) all_66_1 = all_66_11
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_77, all_66_6, e1,
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (4062), (4177) gives:
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4265) all_66_6 = all_66_77
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_3, all_66_2, e1,
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (4065), (4155) gives:
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4266) all_66_2 = all_66_3
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_22, all_66_2, e1,
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (4058), (4065) gives:
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4267) all_66_2 = all_66_22
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_75, all_66_13, e2,
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (4061), (4093) gives:
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4268) all_66_13 = all_66_75
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_21, all_66_1, e2,
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (4057), (4064) gives:
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4269) all_66_1 = all_66_21
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_73, all_66_10, e3,
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (4060), (4067) gives:
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4270) all_66_10 = all_66_73
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with e3, all_66_10, e3, e3,
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (4067), (4068) gives:
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4271) all_66_10 = e3
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4264), (4269) imply:
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4272) all_66_11 = all_66_21
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4272) implies:
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4273) all_66_11 = all_66_21
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4266), (4267) imply:
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4274) all_66_3 = all_66_22
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4263), (4274) imply:
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4275) all_66_22 = e1
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4275) implies:
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4276) all_66_22 = e1
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4261), (4262) imply:
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4277) all_66_11 = all_66_43
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4277) implies:
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4278) all_66_11 = all_66_43
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4236), (4265) imply:
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4279) all_66_18 = all_66_77
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4279) implies:
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4280) all_66_18 = all_66_77
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4230), (4231) imply:
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4281) all_66_47 = all_66_51
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4281) implies:
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4282) all_66_47 = all_66_51
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4270), (4271) imply:
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4283) all_66_73 = e3
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4283) implies:
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4284) all_66_73 = e3
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4253), (4260) imply:
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4285) all_66_14 = all_66_27
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4260), (4273) imply:
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4286) all_66_14 = all_66_21
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4260), (4278) imply:
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4287) all_66_14 = all_66_43
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4246), (4268) imply:
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4288) all_66_25 = all_66_75
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4288) implies:
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4289) all_66_25 = all_66_75
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4285), (4286) imply:
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4290) all_66_21 = all_66_27
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4286), (4287) imply:
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4291) all_66_21 = all_66_43
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4238), (4252) imply:
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4292) all_66_30 = all_66_45
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4292) implies:
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4293) all_66_30 = all_66_45
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4234), (4235) imply:
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4294) all_66_46 = all_66_61
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4234), (4258) imply:
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4295) all_66_23 = all_66_46
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4295) implies:
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4296) all_66_23 = all_66_46
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4234), (4280) imply:
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4297) all_66_46 = all_66_77
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4290), (4291) imply:
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4298) all_66_27 = all_66_43
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4298) implies:
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4299) all_66_27 = all_66_43
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4255), (4276) imply:
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4300) all_66_30 = e1
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4300) implies:
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4301) all_66_30 = e1
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4256), (4257) imply:
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4302) all_66_29 = all_66_59
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4256), (4259) imply:
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4303) all_66_29 = all_66_78
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4256), (4296) imply:
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4304) all_66_29 = all_66_46
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4254), (4289) imply:
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4305) all_66_61 = all_66_75
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4305) implies:
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4306) all_66_61 = all_66_75
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4245), (4289) imply:
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4307) all_66_37 = all_66_75
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4307) implies:
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4308) all_66_37 = all_66_75
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4242), (4299) imply:
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4309) all_66_36 = all_66_43
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4309) implies:
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4310) all_66_36 = all_66_43
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4251), (4299) imply:
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4311) all_66_43 = all_66_63
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4302), (4304) imply:
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4312) all_66_46 = all_66_59
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4312) implies:
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4313) all_66_46 = all_66_59
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4302), (4303) imply:
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4314) all_66_59 = all_66_78
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4250), (4293) imply:
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4315) all_66_31 = all_66_45
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4250), (4301) imply:
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4316) all_66_31 = e1
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4315), (4316) imply:
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4317) all_66_45 = e1
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4317) implies:
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4318) all_66_45 = e1
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4241), (4310) imply:
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4319) all_66_43 = all_66_55
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4319) implies:
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4320) all_66_43 = all_66_55
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4241), (4249) imply:
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4321) all_66_47 = all_66_55
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4321) implies:
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4322) all_66_47 = all_66_55
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4248), (4308) imply:
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4323) all_66_49 = all_66_75
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4323) implies:
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4324) all_66_49 = all_66_75
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4243), (4244) imply:
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4325) all_66_45 = all_66_51
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4325) implies:
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4326) all_66_45 = all_66_51
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4311), (4320) imply:
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4327) all_66_55 = all_66_63
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4318), (4326) imply:
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4328) all_66_51 = e1
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4328) implies:
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4329) all_66_51 = e1
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4294), (4297) imply:
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4330) all_66_61 = all_66_77
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4330) implies:
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4331) all_66_61 = all_66_77
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4297), (4313) imply:
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4332) all_66_59 = all_66_77
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4332) implies:
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4333) all_66_59 = all_66_77
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4282), (4322) imply:
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4334) all_66_51 = all_66_55
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4334) implies:
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4335) all_66_51 = all_66_55
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4240), (4324) imply:
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4336) all_66_69 = all_66_75
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4329), (4335) imply:
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4337) all_66_55 = e1
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4337) implies:
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4338) all_66_55 = e1
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4327), (4338) imply:
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4339) all_66_63 = e1
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4339) implies:
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4340) all_66_63 = e1
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4314), (4333) imply:
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4341) all_66_77 = all_66_78
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4233), (4331) imply:
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4342) all_66_73 = all_66_77
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4342) implies:
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4343) all_66_73 = all_66_77
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4306), (4331) imply:
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4344) all_66_75 = all_66_77
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4344) implies:
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4345) all_66_75 = all_66_77
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4237), (4340) imply:
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4346) all_66_67 = e1
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4346) implies:
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4347) all_66_67 = e1
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4232), (4347) imply:
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4348) all_66_69 = e1
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4348) implies:
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4349) all_66_69 = e1
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4336), (4349) imply:
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4350) all_66_75 = e1
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4350) implies:
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4351) all_66_75 = e1
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4284), (4343) imply:
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4352) all_66_77 = e3
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4352) implies:
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4353) all_66_77 = e3
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4345), (4351) imply:
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4354) all_66_77 = e1
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4354) implies:
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4355) all_66_77 = e1
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4341), (4353) imply:
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4356) all_66_78 = e3
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4356) implies:
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4357) all_66_78 = e3
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4353), (4355) imply:
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4358) e3 = e1
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4239), (4357) imply:
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4359) e3 = e2
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4359) implies:
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4360) e3 = e2
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4358), (4360) imply:
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4361) e2 = e1
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4361) implies:
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4362) e2 = e1
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4247), (4362) imply:
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4363) e1 = e0
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4225), (4363) imply:
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4364) $false
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4364) is inconsistent.
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4365) all_64_12 = e0
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (684), (4212), (4365) are inconsistent by
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #36.
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4366) all_64_6 = e0
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (688), (4366) imply:
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4367) all_12_0 = e0
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4076), (4367) imply:
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4368) $false
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4368) is inconsistent.
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4369) all_64_2 = e1 | all_64_2 = e0
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (494), (4019), (4153), (4369) are inconsistent by
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #35.
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | (4370) all_64_3 = e0
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (529), (4370) imply:
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | (4371) all_36_0 = e0
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4116), (4371) imply:
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | (4372) $false
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4372) is inconsistent.
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | |
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | |
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | (4373) all_64_7 = e1 | all_64_7 = e0
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | |
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (687), (4077), (4117), (4373) are inconsistent by
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | | sub-proof #75.
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | |
% 72.89/11.11 | | | | | | | | | | | | | | | | | | | End of split
% 72.89/11.11 | | | | | | | | | | | | | | | | | | |
% 72.89/11.11 | | | | | | | | | | | | | | | | | | End of split
% 72.89/11.11 | | | | | | | | | | | | | | | | | |
% 72.89/11.11 | | | | | | | | | | | | | | | | | End of split
% 72.89/11.11 | | | | | | | | | | | | | | | | |
% 72.89/11.11 | | | | | | | | | | | | | | | | End of split
% 72.89/11.11 | | | | | | | | | | | | | | | |
% 72.89/11.11 | | | | | | | | | | | | | | | End of split
% 72.89/11.11 | | | | | | | | | | | | | | |
% 72.89/11.11 | | | | | | | | | | | | | | Case 2:
% 72.89/11.11 | | | | | | | | | | | | | | |
% 72.89/11.11 | | | | | | | | | | | | | | | (4374) all_64_9 = e0
% 72.89/11.11 | | | | | | | | | | | | | | |
% 72.89/11.11 | | | | | | | | | | | | | | | COMBINE_EQS: (542), (4374) imply:
% 72.89/11.11 | | | | | | | | | | | | | | | (4375) all_10_0 = e0
% 72.89/11.11 | | | | | | | | | | | | | | |
% 72.89/11.11 | | | | | | | | | | | | | | | REDUCE: (4022), (4375) imply:
% 72.89/11.11 | | | | | | | | | | | | | | | (4376) $false
% 72.89/11.11 | | | | | | | | | | | | | | |
% 72.89/11.11 | | | | | | | | | | | | | | | CLOSE: (4376) is inconsistent.
% 72.89/11.11 | | | | | | | | | | | | | | |
% 72.89/11.11 | | | | | | | | | | | | | | End of split
% 72.89/11.11 | | | | | | | | | | | | | |
% 72.89/11.12 | | | | | | | | | | | | | Case 2:
% 72.89/11.12 | | | | | | | | | | | | | |
% 72.89/11.12 | | | | | | | | | | | | | | (4377) all_64_13 = e1 | all_64_13 = e0
% 72.89/11.12 | | | | | | | | | | | | | |
% 72.89/11.12 | | | | | | | | | | | | | | REF_CLOSE: (550), (4020), (4078), (4377) are inconsistent by
% 72.89/11.12 | | | | | | | | | | | | | | sub-proof #39.
% 72.89/11.12 | | | | | | | | | | | | | |
% 72.89/11.12 | | | | | | | | | | | | | End of split
% 72.89/11.12 | | | | | | | | | | | | |
% 72.89/11.12 | | | | | | | | | | | | End of split
% 72.89/11.12 | | | | | | | | | | | |
% 72.89/11.12 | | | | | | | | | | | End of split
% 72.89/11.12 | | | | | | | | | | |
% 72.89/11.12 | | | | | | | | | | Case 2:
% 72.89/11.12 | | | | | | | | | | |
% 72.89/11.12 | | | | | | | | | | | (4378) ~ (all_20_1 = e3)
% 72.89/11.12 | | | | | | | | | | |
% 72.89/11.12 | | | | | | | | | | | REDUCE: (4046), (4378) imply:
% 72.89/11.12 | | | | | | | | | | | (4379) $false
% 72.89/11.12 | | | | | | | | | | |
% 72.89/11.12 | | | | | | | | | | | CLOSE: (4379) is inconsistent.
% 72.89/11.12 | | | | | | | | | | |
% 72.89/11.12 | | | | | | | | | | End of split
% 72.89/11.12 | | | | | | | | | |
% 72.89/11.12 | | | | | | | | | Case 2:
% 72.89/11.12 | | | | | | | | | |
% 72.89/11.12 | | | | | | | | | | (4380) ~ (all_22_1 = e3)
% 72.89/11.12 | | | | | | | | | |
% 72.89/11.12 | | | | | | | | | | REDUCE: (4047), (4380) imply:
% 72.89/11.12 | | | | | | | | | | (4381) $false
% 72.89/11.12 | | | | | | | | | |
% 72.89/11.12 | | | | | | | | | | CLOSE: (4381) is inconsistent.
% 72.89/11.12 | | | | | | | | | |
% 72.89/11.12 | | | | | | | | | End of split
% 72.89/11.12 | | | | | | | | |
% 72.89/11.12 | | | | | | | | Case 2:
% 72.89/11.12 | | | | | | | | |
% 72.89/11.12 | | | | | | | | | (4382) ~ (all_16_1 = e3)
% 72.89/11.12 | | | | | | | | |
% 72.89/11.12 | | | | | | | | | REDUCE: (4045), (4382) imply:
% 72.89/11.12 | | | | | | | | | (4383) $false
% 72.89/11.12 | | | | | | | | |
% 72.89/11.12 | | | | | | | | | CLOSE: (4383) is inconsistent.
% 72.89/11.12 | | | | | | | | |
% 72.89/11.12 | | | | | | | | End of split
% 72.89/11.12 | | | | | | | |
% 72.89/11.12 | | | | | | | Case 2:
% 72.89/11.12 | | | | | | | |
% 72.89/11.12 | | | | | | | | (4384) all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 &
% 72.89/11.12 | | | | | | | | all_56_3 = e2
% 72.89/11.12 | | | | | | | |
% 72.89/11.12 | | | | | | | | REF_CLOSE: (559), (3961), (4384) are inconsistent by sub-proof
% 72.89/11.12 | | | | | | | | #7.
% 72.89/11.12 | | | | | | | |
% 72.89/11.12 | | | | | | | End of split
% 72.89/11.12 | | | | | | |
% 72.89/11.12 | | | | | | Case 2:
% 72.89/11.12 | | | | | | |
% 72.89/11.12 | | | | | | | (4385) (all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 &
% 72.89/11.12 | | | | | | | all_56_3 = e1) | (all_56_0 = e0 & all_56_1 = e0 &
% 72.89/11.12 | | | | | | | all_56_2 = e0 & all_56_3 = e0)
% 72.89/11.12 | | | | | | |
% 72.89/11.12 | | | | | | | BETA: splitting (4385) gives:
% 72.89/11.12 | | | | | | |
% 72.89/11.12 | | | | | | | Case 1:
% 72.89/11.12 | | | | | | | |
% 72.89/11.12 | | | | | | | | (4386) all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 &
% 72.89/11.12 | | | | | | | | all_56_3 = e1
% 72.89/11.12 | | | | | | | |
% 72.89/11.12 | | | | | | | | REF_CLOSE: (600), (4024), (4386) are inconsistent by sub-proof
% 72.89/11.12 | | | | | | | | #43.
% 72.89/11.12 | | | | | | | |
% 72.89/11.12 | | | | | | | Case 2:
% 72.89/11.12 | | | | | | | |
% 72.89/11.12 | | | | | | | | (4387) all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 &
% 72.89/11.12 | | | | | | | | all_56_3 = e0
% 72.89/11.12 | | | | | | | |
% 72.89/11.12 | | | | | | | | REF_CLOSE: (559), (3955), (4387) are inconsistent by sub-proof
% 72.89/11.12 | | | | | | | | #10.
% 72.89/11.12 | | | | | | | |
% 72.89/11.12 | | | | | | | End of split
% 72.89/11.12 | | | | | | |
% 72.89/11.12 | | | | | | End of split
% 72.89/11.12 | | | | | |
% 72.89/11.12 | | | | | End of split
% 72.89/11.12 | | | | |
% 72.89/11.12 | | | | End of split
% 72.89/11.12 | | | |
% 72.89/11.12 | | | Case 2:
% 72.89/11.12 | | | |
% 72.89/11.12 | | | | (4388) all_10_0 = e3
% 72.89/11.12 | | | |
% 72.89/11.12 | | | | REDUCE: (745), (4388) imply:
% 72.89/11.12 | | | | (4389) ~ (all_20_0 = e3)
% 72.89/11.12 | | | |
% 72.89/11.12 | | | | REDUCE: (731), (4388) imply:
% 72.89/11.12 | | | | (4390) ~ (all_14_0 = e3)
% 72.89/11.12 | | | |
% 72.89/11.12 | | | | REDUCE: (739), (4388) imply:
% 72.89/11.12 | | | | (4391) ~ (all_10_1 = e3)
% 72.89/11.12 | | | |
% 72.89/11.12 | | | | SIMP: (4391) implies:
% 72.89/11.12 | | | | (4392) ~ (all_10_1 = e3)
% 72.89/11.12 | | | |
% 72.89/11.12 | | | | BETA: splitting (163) gives:
% 72.89/11.12 | | | |
% 72.89/11.12 | | | | Case 1:
% 72.89/11.12 | | | | |
% 72.89/11.12 | | | | | (4393) (all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 & all_56_3 =
% 72.89/11.12 | | | | | e3) | (all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 &
% 72.89/11.12 | | | | | all_56_3 = e2)
% 72.89/11.12 | | | | |
% 72.89/11.12 | | | | | BETA: splitting (4393) gives:
% 72.89/11.12 | | | | |
% 72.89/11.12 | | | | | Case 1:
% 72.89/11.12 | | | | | |
% 72.89/11.12 | | | | | | (4394) all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 & all_56_3 =
% 72.89/11.12 | | | | | | e3
% 72.89/11.12 | | | | | |
% 72.89/11.12 | | | | | | REF_CLOSE: (600), (4392), (4394) are inconsistent by sub-proof #69.
% 72.89/11.12 | | | | | |
% 72.89/11.12 | | | | | Case 2:
% 72.89/11.12 | | | | | |
% 72.89/11.12 | | | | | | (4395) all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 & all_56_3 =
% 72.89/11.12 | | | | | | e2
% 72.89/11.12 | | | | | |
% 72.89/11.12 | | | | | | REF_CLOSE: (559), (3961), (4395) are inconsistent by sub-proof #7.
% 72.89/11.12 | | | | | |
% 72.89/11.12 | | | | | End of split
% 72.89/11.12 | | | | |
% 72.89/11.12 | | | | Case 2:
% 72.89/11.12 | | | | |
% 72.89/11.12 | | | | | (4396) (all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 & all_56_3 =
% 72.89/11.12 | | | | | e1) | (all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 &
% 72.89/11.12 | | | | | all_56_3 = e0)
% 72.89/11.12 | | | | |
% 72.89/11.12 | | | | | BETA: splitting (4396) gives:
% 72.89/11.12 | | | | |
% 72.89/11.12 | | | | | Case 1:
% 72.89/11.12 | | | | | |
% 72.89/11.12 | | | | | | (4397) all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 & all_56_3 =
% 72.89/11.12 | | | | | | e1
% 72.89/11.12 | | | | | |
% 72.89/11.12 | | | | | | ALPHA: (4397) implies:
% 72.89/11.12 | | | | | | (4398) all_56_3 = e1
% 72.89/11.12 | | | | | | (4399) all_56_1 = e1
% 72.89/11.12 | | | | | | (4400) all_56_0 = e1
% 72.89/11.12 | | | | | |
% 72.89/11.12 | | | | | | COMBINE_EQS: (559), (4400) imply:
% 72.89/11.12 | | | | | | (4401) all_4_1 = e1
% 72.89/11.12 | | | | | |
% 72.89/11.12 | | | | | | COMBINE_EQS: (600), (4399) imply:
% 72.89/11.12 | | | | | | (4402) all_10_1 = e1
% 72.89/11.12 | | | | | |
% 72.89/11.12 | | | | | | COMBINE_EQS: (679), (4398) imply:
% 72.89/11.12 | | | | | | (4403) all_8_1 = e1
% 72.89/11.12 | | | | | |
% 72.89/11.12 | | | | | | SIMP: (4403) implies:
% 72.89/11.12 | | | | | | (4404) all_8_1 = e1
% 72.89/11.12 | | | | | |
% 72.89/11.12 | | | | | | COMBINE_EQS: (671), (4402) imply:
% 72.89/11.12 | | | | | | (4405) all_14_1 = e1
% 72.89/11.12 | | | | | |
% 72.89/11.12 | | | | | | COMBINE_EQS: (661), (4401) imply:
% 72.89/11.12 | | | | | | (4406) all_30_1 = e1
% 72.89/11.12 | | | | | |
% 72.89/11.12 | | | | | | REDUCE: (702), (4401) imply:
% 72.89/11.12 | | | | | | (4407) ~ (all_28_0 = e1)
% 72.89/11.12 | | | | | |
% 72.89/11.12 | | | | | | REDUCE: (749), (4404) imply:
% 72.89/11.12 | | | | | | (4408) ~ (all_20_0 = e1)
% 72.89/11.12 | | | | | |
% 72.89/11.12 | | | | | | REDUCE: (704), (4401) imply:
% 72.89/11.12 | | | | | | (4409) ~ (all_14_0 = e1)
% 72.89/11.12 | | | | | |
% 72.89/11.12 | | | | | | REDUCE: (698), (4401) imply:
% 72.89/11.12 | | | | | | (4410) ~ (all_6_0 = e1)
% 72.89/11.12 | | | | | |
% 72.89/11.12 | | | | | | BETA: splitting (69) gives:
% 72.89/11.12 | | | | | |
% 72.89/11.12 | | | | | | Case 1:
% 72.89/11.12 | | | | | | |
% 72.89/11.12 | | | | | | | (4411) ~ (all_14_0 = e0)
% 72.89/11.12 | | | | | | |
% 72.89/11.12 | | | | | | | BETA: splitting (101) gives:
% 72.89/11.12 | | | | | | |
% 72.89/11.12 | | | | | | | Case 1:
% 72.89/11.12 | | | | | | | |
% 72.89/11.12 | | | | | | | | (4412) ~ (all_30_0 = e0)
% 72.89/11.12 | | | | | | | |
% 72.89/11.12 | | | | | | | | REDUCE: (593), (4412) imply:
% 72.89/11.12 | | | | | | | | (4413) ~ (all_6_0 = e0)
% 72.89/11.12 | | | | | | | |
% 72.89/11.12 | | | | | | | | REF_CLOSE: (269), (270), (277), (280), (525), (550), (684),
% 72.89/11.12 | | | | | | | | (689), (711), (726), (733), (3956), (3959), (4389),
% 72.89/11.12 | | | | | | | | (4390), (4407), (4408), (4409), (4410), (4411),
% 72.89/11.12 | | | | | | | | (4413) are inconsistent by sub-proof #4.
% 72.89/11.12 | | | | | | | |
% 72.89/11.12 | | | | | | | Case 2:
% 72.89/11.12 | | | | | | | |
% 72.89/11.12 | | | | | | | | (4414) ~ (all_30_1 = e1)
% 72.89/11.12 | | | | | | | |
% 72.89/11.12 | | | | | | | | REDUCE: (4406), (4414) imply:
% 72.89/11.12 | | | | | | | | (4415) $false
% 72.89/11.12 | | | | | | | |
% 72.89/11.12 | | | | | | | | CLOSE: (4415) is inconsistent.
% 72.89/11.12 | | | | | | | |
% 72.89/11.12 | | | | | | | End of split
% 72.89/11.12 | | | | | | |
% 72.89/11.12 | | | | | | Case 2:
% 72.89/11.12 | | | | | | |
% 72.89/11.12 | | | | | | | (4416) ~ (all_14_1 = e1)
% 72.89/11.12 | | | | | | |
% 72.89/11.12 | | | | | | | REDUCE: (4405), (4416) imply:
% 72.89/11.12 | | | | | | | (4417) $false
% 72.89/11.12 | | | | | | |
% 72.89/11.12 | | | | | | | CLOSE: (4417) is inconsistent.
% 72.89/11.12 | | | | | | |
% 72.89/11.12 | | | | | | End of split
% 72.89/11.12 | | | | | |
% 72.89/11.12 | | | | | Case 2:
% 72.89/11.12 | | | | | |
% 72.89/11.12 | | | | | | (4418) all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 & all_56_3 =
% 72.89/11.12 | | | | | | e0
% 72.89/11.12 | | | | | |
% 72.89/11.12 | | | | | | REF_CLOSE: (559), (3955), (4418) are inconsistent by sub-proof #10.
% 72.89/11.12 | | | | | |
% 72.89/11.12 | | | | | End of split
% 72.89/11.12 | | | | |
% 72.89/11.12 | | | | End of split
% 72.89/11.12 | | | |
% 72.89/11.12 | | | End of split
% 72.89/11.12 | | |
% 72.89/11.12 | | Case 2:
% 72.89/11.12 | | |
% 72.89/11.12 | | | (4419) all_8_0 = e3
% 72.89/11.12 | | |
% 72.89/11.12 | | | REDUCE: (761), (4419) imply:
% 72.89/11.12 | | | (4420) ~ (all_36_0 = e3)
% 72.89/11.12 | | |
% 72.89/11.12 | | | REDUCE: (746), (4419) imply:
% 72.89/11.12 | | | (4421) ~ (all_10_0 = e3)
% 72.89/11.12 | | |
% 72.89/11.12 | | | REDUCE: (764), (4419) imply:
% 72.89/11.12 | | | (4422) ~ (all_8_1 = e3)
% 72.89/11.12 | | |
% 72.89/11.12 | | | SIMP: (4422) implies:
% 72.89/11.12 | | | (4423) ~ (all_8_1 = e3)
% 72.89/11.12 | | |
% 72.89/11.12 | | | REDUCE: (846), (4419) imply:
% 72.89/11.12 | | | (4424) op(e3, e3) = all_66_11
% 72.89/11.12 | | |
% 72.89/11.12 | | | REDUCE: (863), (4419) imply:
% 72.89/11.12 | | | (4425) op(e2, e3) = all_66_27
% 72.89/11.12 | | |
% 72.89/11.12 | | | REDUCE: (897), (4419) imply:
% 72.89/11.12 | | | (4426) op(e0, e3) = all_66_71
% 72.89/11.12 | | |
% 72.89/11.12 | | | BETA: splitting (163) gives:
% 72.89/11.12 | | |
% 72.89/11.12 | | | Case 1:
% 72.89/11.12 | | | |
% 72.89/11.12 | | | | (4427) (all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 & all_56_3 =
% 72.89/11.12 | | | | e3) | (all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 &
% 72.89/11.12 | | | | all_56_3 = e2)
% 72.89/11.12 | | | |
% 72.89/11.12 | | | | BETA: splitting (4427) gives:
% 72.89/11.12 | | | |
% 72.89/11.12 | | | | Case 1:
% 72.89/11.12 | | | | |
% 72.89/11.12 | | | | | (4428) all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 & all_56_3 =
% 72.89/11.12 | | | | | e3
% 72.89/11.12 | | | | |
% 72.89/11.12 | | | | | REF_CLOSE: (679), (4423), (4428) are inconsistent by sub-proof #73.
% 72.89/11.12 | | | | |
% 72.89/11.12 | | | | Case 2:
% 72.89/11.12 | | | | |
% 72.89/11.12 | | | | | (4429) all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 & all_56_3 =
% 72.89/11.12 | | | | | e2
% 72.89/11.12 | | | | |
% 72.89/11.12 | | | | | REF_CLOSE: (559), (3961), (4429) are inconsistent by sub-proof #7.
% 72.89/11.12 | | | | |
% 72.89/11.12 | | | | End of split
% 72.89/11.12 | | | |
% 72.89/11.12 | | | Case 2:
% 72.89/11.12 | | | |
% 72.89/11.12 | | | | (4430) (all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 & all_56_3 =
% 72.89/11.12 | | | | e1) | (all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 &
% 72.89/11.12 | | | | all_56_3 = e0)
% 72.89/11.12 | | | |
% 72.89/11.12 | | | | BETA: splitting (4430) gives:
% 72.89/11.12 | | | |
% 72.89/11.12 | | | | Case 1:
% 72.89/11.12 | | | | |
% 72.89/11.12 | | | | | (4431) all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 & all_56_3 =
% 72.89/11.12 | | | | | e1
% 72.89/11.12 | | | | |
% 72.89/11.12 | | | | | ALPHA: (4431) implies:
% 72.89/11.12 | | | | | (4432) all_56_3 = e1
% 72.89/11.12 | | | | | (4433) all_56_2 = e1
% 72.89/11.12 | | | | | (4434) all_56_1 = e1
% 72.89/11.12 | | | | | (4435) all_56_0 = e1
% 72.89/11.12 | | | | |
% 72.89/11.12 | | | | | COMBINE_EQS: (559), (4435) imply:
% 72.89/11.12 | | | | | (4436) all_4_1 = e1
% 72.89/11.12 | | | | |
% 72.89/11.12 | | | | | COMBINE_EQS: (600), (4434) imply:
% 72.89/11.12 | | | | | (4437) all_10_1 = e1
% 72.89/11.12 | | | | |
% 72.89/11.12 | | | | | COMBINE_EQS: (680), (4433) imply:
% 72.89/11.12 | | | | | (4438) all_12_1 = e1
% 72.89/11.12 | | | | |
% 72.89/11.12 | | | | | COMBINE_EQS: (679), (4432) imply:
% 72.89/11.12 | | | | | (4439) all_8_1 = e1
% 72.89/11.12 | | | | |
% 72.89/11.12 | | | | | SIMP: (4439) implies:
% 72.89/11.12 | | | | | (4440) all_8_1 = e1
% 72.89/11.12 | | | | |
% 72.89/11.12 | | | | | COMBINE_EQS: (661), (4436) imply:
% 72.89/11.12 | | | | | (4441) all_30_1 = e1
% 72.89/11.12 | | | | |
% 72.89/11.12 | | | | | COMBINE_EQS: (674), (4440) imply:
% 72.89/11.12 | | | | | (4442) all_36_1 = e1
% 72.89/11.12 | | | | |
% 72.89/11.12 | | | | | COMBINE_EQS: (636), (4437) imply:
% 72.89/11.12 | | | | | (4443) all_46_1 = e1
% 72.89/11.12 | | | | |
% 72.89/11.12 | | | | | REDUCE: (759), (4440) imply:
% 72.89/11.12 | | | | | (4444) ~ (all_42_0 = e1)
% 72.89/11.12 | | | | |
% 72.89/11.12 | | | | | REDUCE: (706), (4436) imply:
% 72.89/11.13 | | | | | (4445) ~ (all_40_0 = e1)
% 72.89/11.13 | | | | |
% 72.89/11.13 | | | | | REDUCE: (708), (4436) imply:
% 72.89/11.13 | | | | | (4446) ~ (all_36_0 = e1)
% 72.89/11.13 | | | | |
% 72.89/11.13 | | | | | REDUCE: (702), (4436) imply:
% 72.89/11.13 | | | | | (4447) ~ (all_28_0 = e1)
% 72.89/11.13 | | | | |
% 72.89/11.13 | | | | | REDUCE: (763), (4440) imply:
% 72.89/11.13 | | | | | (4448) ~ (all_22_0 = e1)
% 72.89/11.13 | | | | |
% 72.89/11.13 | | | | | REDUCE: (749), (4440) imply:
% 72.89/11.13 | | | | | (4449) ~ (all_20_0 = e1)
% 72.89/11.13 | | | | |
% 72.89/11.13 | | | | | REDUCE: (704), (4436) imply:
% 72.89/11.13 | | | | | (4450) ~ (all_14_0 = e1)
% 72.89/11.13 | | | | |
% 72.89/11.13 | | | | | REDUCE: (741), (4437) imply:
% 72.89/11.13 | | | | | (4451) ~ (all_12_0 = e1)
% 72.89/11.13 | | | | |
% 72.89/11.13 | | | | | REDUCE: (739), (4437) imply:
% 72.89/11.13 | | | | | (4452) ~ (all_10_0 = e1)
% 72.89/11.13 | | | | |
% 72.89/11.13 | | | | | REDUCE: (698), (4436) imply:
% 72.89/11.13 | | | | | (4453) ~ (all_6_0 = e1)
% 72.89/11.13 | | | | |
% 72.89/11.13 | | | | | REDUCE: (3975), (4438) imply:
% 72.89/11.13 | | | | | (4454) op(e1, e3) = all_10_0
% 72.89/11.13 | | | | |
% 72.89/11.13 | | | | | REDUCE: (814), (4438) imply:
% 72.89/11.13 | | | | | (4455) op(e1, e0) = all_66_43
% 72.89/11.13 | | | | |
% 72.89/11.13 | | | | | REDUCE: (791), (4437) imply:
% 72.89/11.13 | | | | | (4456) op(e1, e3) = all_66_20
% 72.89/11.13 | | | | |
% 72.89/11.13 | | | | | REDUCE: (794), (4437) imply:
% 72.89/11.13 | | | | | (4457) op(e1, e0) = all_66_23
% 72.89/11.13 | | | | |
% 72.89/11.13 | | | | | REDUCE: (831), (4440) imply:
% 72.89/11.13 | | | | | (4458) op(e1, e3) = all_66_73
% 72.89/11.13 | | | | |
% 72.89/11.13 | | | | | REDUCE: (834), (4440) imply:
% 72.89/11.13 | | | | | (4459) op(e1, e0) = all_66_78
% 72.89/11.13 | | | | |
% 72.89/11.13 | | | | | REDUCE: (771), (4436) imply:
% 72.89/11.13 | | | | | (4460) op(e1, e3) = all_66_0
% 72.89/11.13 | | | | |
% 72.89/11.13 | | | | | REDUCE: (774), (4436) imply:
% 72.89/11.13 | | | | | (4461) op(e1, e0) = all_66_3
% 72.89/11.13 | | | | |
% 72.89/11.13 | | | | | REDUCE: (835), (4436) imply:
% 72.89/11.13 | | | | | (4462) op(e3, e1) = all_66_0
% 72.89/11.13 | | | | |
% 72.89/11.13 | | | | | REDUCE: (48), (4436) imply:
% 72.89/11.13 | | | | | (4463) op(e3, e3) = e1
% 72.89/11.13 | | | | |
% 72.89/11.13 | | | | | REDUCE: (862), (4438) imply:
% 72.89/11.13 | | | | | (4464) op(e2, e1) = all_66_26
% 72.89/11.13 | | | | |
% 72.89/11.13 | | | | | REDUCE: (857), (4437) imply:
% 72.89/11.13 | | | | | (4465) op(e2, e1) = all_66_21
% 72.89/11.13 | | | | |
% 72.89/11.13 | | | | | REDUCE: (896), (4438) imply:
% 72.89/11.13 | | | | | (4466) op(e0, e1) = all_66_69
% 72.89/11.13 | | | | |
% 72.89/11.13 | | | | | REDUCE: (891), (4437) imply:
% 72.89/11.13 | | | | | (4467) op(e0, e1) = all_66_59
% 72.89/11.13 | | | | |
% 72.89/11.13 | | | | | REDUCE: (886), (4436) imply:
% 72.89/11.13 | | | | | (4468) op(e0, e1) = all_66_49
% 72.89/11.13 | | | | |
% 72.89/11.13 | | | | | BETA: splitting (101) gives:
% 72.89/11.13 | | | | |
% 72.89/11.13 | | | | | Case 1:
% 72.89/11.13 | | | | | |
% 72.89/11.13 | | | | | | (4469) ~ (all_30_0 = e0)
% 72.89/11.13 | | | | | |
% 72.89/11.13 | | | | | | REDUCE: (593), (4469) imply:
% 72.89/11.13 | | | | | | (4470) ~ (all_6_0 = e0)
% 72.89/11.13 | | | | | |
% 72.89/11.13 | | | | | | BETA: splitting (133) gives:
% 72.89/11.13 | | | | | |
% 72.89/11.13 | | | | | | Case 1:
% 72.89/11.13 | | | | | | |
% 72.89/11.13 | | | | | | | (4471) ~ (all_46_0 = e3)
% 72.89/11.13 | | | | | | |
% 72.89/11.13 | | | | | | | REDUCE: (604), (4471) imply:
% 72.89/11.13 | | | | | | | (4472) ~ (all_20_0 = e3)
% 72.89/11.13 | | | | | | |
% 72.89/11.13 | | | | | | | BETA: splitting (113) gives:
% 72.89/11.13 | | | | | | |
% 72.89/11.13 | | | | | | | Case 1:
% 72.89/11.13 | | | | | | | |
% 72.89/11.13 | | | | | | | | (4473) ~ (all_36_0 = e2)
% 72.89/11.13 | | | | | | | |
% 72.89/11.13 | | | | | | | | BETA: splitting (272) gives:
% 72.89/11.13 | | | | | | | |
% 72.89/11.13 | | | | | | | | Case 1:
% 72.89/11.13 | | | | | | | | |
% 72.89/11.13 | | | | | | | | | (4474) all_64_9 = e3
% 72.89/11.13 | | | | | | | | |
% 72.89/11.13 | | | | | | | | | COMBINE_EQS: (542), (4474) imply:
% 72.89/11.13 | | | | | | | | | (4475) all_10_0 = e3
% 72.89/11.13 | | | | | | | | |
% 72.89/11.13 | | | | | | | | | REDUCE: (4421), (4475) imply:
% 72.89/11.13 | | | | | | | | | (4476) $false
% 72.89/11.13 | | | | | | | | |
% 72.89/11.13 | | | | | | | | | CLOSE: (4476) is inconsistent.
% 72.89/11.13 | | | | | | | | |
% 72.89/11.13 | | | | | | | | Case 2:
% 72.89/11.13 | | | | | | | | |
% 72.89/11.13 | | | | | | | | | (4477) all_64_9 = e2 | all_64_9 = e1 | all_64_9 = e0
% 72.89/11.13 | | | | | | | | |
% 72.89/11.13 | | | | | | | | | BETA: splitting (277) gives:
% 72.89/11.13 | | | | | | | | |
% 72.89/11.13 | | | | | | | | | Case 1:
% 72.89/11.13 | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | (4478) all_64_4 = e3
% 72.89/11.13 | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | COMBINE_EQS: (689), (4478) imply:
% 72.89/11.13 | | | | | | | | | | (4479) all_6_0 = e3
% 72.89/11.13 | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | REDUCE: (711), (4479) imply:
% 72.89/11.13 | | | | | | | | | | (4480) ~ (all_28_0 = e3)
% 72.89/11.13 | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | REDUCE: (717), (4479) imply:
% 72.89/11.13 | | | | | | | | | | (4481) ~ (all_22_0 = e3)
% 72.89/11.13 | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | REDUCE: (787), (4479) imply:
% 72.89/11.13 | | | | | | | | | | (4482) op(e3, e3) = all_66_16
% 72.89/11.13 | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | REDUCE: (790), (4479) imply:
% 72.89/11.13 | | | | | | | | | | (4483) op(e3, e0) = all_66_19
% 72.89/11.13 | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | REDUCE: (856), (4479) imply:
% 72.89/11.13 | | | | | | | | | | (4484) op(e2, e3) = all_66_20
% 72.89/11.13 | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | REDUCE: (873), (4479) imply:
% 72.89/11.13 | | | | | | | | | | (4485) op(e1, e3) = all_66_36
% 72.89/11.13 | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | REDUCE: (890), (4479) imply:
% 72.89/11.13 | | | | | | | | | | (4486) op(e0, e3) = all_66_57
% 72.89/11.13 | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | BETA: splitting (270) gives:
% 72.89/11.13 | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | Case 1:
% 72.89/11.13 | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | (4487) all_64_12 = e3
% 72.89/11.13 | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | COMBINE_EQS: (684), (4487) imply:
% 72.89/11.13 | | | | | | | | | | | (4488) all_28_0 = e3
% 72.89/11.13 | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | REDUCE: (4480), (4488) imply:
% 72.89/11.13 | | | | | | | | | | | (4489) $false
% 72.89/11.13 | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | CLOSE: (4489) is inconsistent.
% 72.89/11.13 | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | Case 2:
% 72.89/11.13 | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | (4490) all_64_12 = e2 | all_64_12 = e1 | all_64_12 = e0
% 72.89/11.13 | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | BETA: splitting (278) gives:
% 72.89/11.13 | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | Case 1:
% 72.89/11.13 | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | (4491) all_64_3 = e3
% 72.89/11.13 | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | COMBINE_EQS: (529), (4491) imply:
% 72.89/11.13 | | | | | | | | | | | | (4492) all_36_0 = e3
% 72.89/11.13 | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | REDUCE: (4420), (4492) imply:
% 72.89/11.13 | | | | | | | | | | | | (4493) $false
% 72.89/11.13 | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | CLOSE: (4493) is inconsistent.
% 72.89/11.13 | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | Case 2:
% 72.89/11.13 | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | (4494) all_64_3 = e2 | all_64_3 = e1 | all_64_3 = e0
% 72.89/11.13 | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | BETA: splitting (4494) gives:
% 72.89/11.13 | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | Case 1:
% 72.89/11.13 | | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | | (4495) all_64_3 = e2
% 72.89/11.13 | | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | | COMBINE_EQS: (529), (4495) imply:
% 72.89/11.13 | | | | | | | | | | | | | (4496) all_36_0 = e2
% 72.89/11.13 | | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | | REDUCE: (4473), (4496) imply:
% 72.89/11.13 | | | | | | | | | | | | | (4497) $false
% 72.89/11.13 | | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | | CLOSE: (4497) is inconsistent.
% 72.89/11.13 | | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | Case 2:
% 72.89/11.13 | | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | | (4498) all_64_3 = e1 | all_64_3 = e0
% 72.89/11.13 | | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | | BETA: splitting (4498) gives:
% 72.89/11.13 | | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | | Case 1:
% 72.89/11.13 | | | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | | | (4499) all_64_3 = e1
% 72.89/11.13 | | | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | | | COMBINE_EQS: (529), (4499) imply:
% 72.89/11.13 | | | | | | | | | | | | | | (4500) all_36_0 = e1
% 72.89/11.13 | | | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | | | REDUCE: (4446), (4500) imply:
% 72.89/11.13 | | | | | | | | | | | | | | (4501) $false
% 72.89/11.13 | | | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | | | CLOSE: (4501) is inconsistent.
% 72.89/11.13 | | | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | | Case 2:
% 72.89/11.13 | | | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | | | (4502) all_64_3 = e0
% 72.89/11.13 | | | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | | | COMBINE_EQS: (529), (4502) imply:
% 72.89/11.13 | | | | | | | | | | | | | | (4503) all_36_0 = e0
% 72.89/11.13 | | | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | | | REDUCE: (753), (4503) imply:
% 72.89/11.13 | | | | | | | | | | | | | | (4504) ~ (all_40_0 = e0)
% 72.89/11.13 | | | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | | | REDUCE: (760), (4503) imply:
% 72.89/11.13 | | | | | | | | | | | | | | (4505) ~ (all_22_0 = e0)
% 72.89/11.13 | | | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | | | SIMP: (4505) implies:
% 72.89/11.13 | | | | | | | | | | | | | | (4506) ~ (all_22_0 = e0)
% 72.89/11.13 | | | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | | | REDUCE: (783), (4503) imply:
% 72.89/11.13 | | | | | | | | | | | | | | (4507) op(e0, e3) = all_66_12
% 72.89/11.13 | | | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | | | REDUCE: (785), (4503) imply:
% 72.89/11.13 | | | | | | | | | | | | | | (4508) op(e0, e1) = all_66_14
% 72.89/11.13 | | | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | | | REDUCE: (786), (4503) imply:
% 72.89/11.13 | | | | | | | | | | | | | | (4509) op(e0, e0) = all_66_15
% 72.89/11.13 | | | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | | | REDUCE: (838), (4503) imply:
% 72.89/11.13 | | | | | | | | | | | | | | (4510) op(e3, e0) = all_66_3
% 72.89/11.13 | | | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | | | REDUCE: (3976), (4503) imply:
% 72.89/11.13 | | | | | | | | | | | | | | (4511) op(e1, e0) = all_22_0
% 72.89/11.13 | | | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | | | BETA: splitting (274) gives:
% 72.89/11.13 | | | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | | | Case 1:
% 72.89/11.13 | | | | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | | | | (4512) all_64_7 = e3
% 72.89/11.13 | | | | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | | | | COMBINE_EQS: (687), (4512) imply:
% 72.89/11.13 | | | | | | | | | | | | | | | (4513) all_22_0 = e3
% 72.89/11.13 | | | | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | | | | REDUCE: (4481), (4513) imply:
% 72.89/11.13 | | | | | | | | | | | | | | | (4514) $false
% 72.89/11.13 | | | | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | | | | CLOSE: (4514) is inconsistent.
% 72.89/11.13 | | | | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | | | Case 2:
% 72.89/11.13 | | | | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | | | | (4515) all_64_7 = e2 | all_64_7 = e1 | all_64_7 = e0
% 72.89/11.13 | | | | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | | | | BETA: splitting (4477) gives:
% 72.89/11.13 | | | | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | | | | Case 1:
% 72.89/11.13 | | | | | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | | | | | (4516) all_64_9 = e2
% 72.89/11.13 | | | | | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | | | | | COMBINE_EQS: (542), (4516) imply:
% 72.89/11.13 | | | | | | | | | | | | | | | | (4517) all_10_0 = e2
% 72.89/11.13 | | | | | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | | | | | REDUCE: (3957), (4517) imply:
% 72.89/11.13 | | | | | | | | | | | | | | | | (4518) $false
% 72.89/11.13 | | | | | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | | | | | CLOSE: (4518) is inconsistent.
% 72.89/11.13 | | | | | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | | | | Case 2:
% 72.89/11.13 | | | | | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | | | | | (4519) all_64_9 = e1 | all_64_9 = e0
% 72.89/11.13 | | | | | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | | | | | BETA: splitting (4490) gives:
% 72.89/11.13 | | | | | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | | | | | Case 1:
% 72.89/11.13 | | | | | | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | | | | | | (4520) all_64_12 = e2
% 72.89/11.13 | | | | | | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | | | | | | COMBINE_EQS: (684), (4520) imply:
% 72.89/11.13 | | | | | | | | | | | | | | | | | (4521) all_28_0 = e2
% 72.89/11.13 | | | | | | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | | | | | | REDUCE: (3956), (4521) imply:
% 72.89/11.13 | | | | | | | | | | | | | | | | | (4522) $false
% 72.89/11.13 | | | | | | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | | | | | | CLOSE: (4522) is inconsistent.
% 72.89/11.13 | | | | | | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | | | | | Case 2:
% 72.89/11.13 | | | | | | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | | | | | | (4523) all_64_12 = e1 | all_64_12 = e0
% 72.89/11.13 | | | | | | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | | | | | | BETA: splitting (4523) gives:
% 72.89/11.13 | | | | | | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | | | | | | Case 1:
% 72.89/11.13 | | | | | | | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | | | | | | | (4524) all_64_12 = e1
% 72.89/11.13 | | | | | | | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (684), (4524) imply:
% 72.89/11.13 | | | | | | | | | | | | | | | | | | (4525) all_28_0 = e1
% 72.89/11.13 | | | | | | | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | | | | | | | REDUCE: (4447), (4525) imply:
% 72.89/11.13 | | | | | | | | | | | | | | | | | | (4526) $false
% 72.89/11.13 | | | | | | | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | | | | | | | CLOSE: (4526) is inconsistent.
% 72.89/11.13 | | | | | | | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | | | | | | Case 2:
% 72.89/11.13 | | | | | | | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | | | | | | | (4527) all_64_12 = e0
% 72.89/11.13 | | | | | | | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (684), (4527) imply:
% 72.89/11.13 | | | | | | | | | | | | | | | | | | (4528) all_28_0 = e0
% 72.89/11.13 | | | | | | | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | | | | | | | REDUCE: (728), (4528) imply:
% 72.89/11.13 | | | | | | | | | | | | | | | | | | (4529) ~ (all_42_0 = e0)
% 72.89/11.13 | | | | | | | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | | | | | | | REDUCE: (819), (4528) imply:
% 72.89/11.13 | | | | | | | | | | | | | | | | | | (4530) op(e0, e3) = all_66_49
% 72.89/11.13 | | | | | | | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | | | | | | | REDUCE: (821), (4528) imply:
% 72.89/11.13 | | | | | | | | | | | | | | | | | | (4531) op(e0, e1) = all_66_53
% 72.89/11.13 | | | | | | | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | | | | | | | REDUCE: (822), (4528) imply:
% 72.89/11.13 | | | | | | | | | | | | | | | | | | (4532) op(e0, e0) = all_66_55
% 72.89/11.13 | | | | | | | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | | | | | | | REDUCE: (847), (4528) imply:
% 72.89/11.13 | | | | | | | | | | | | | | | | | | (4533) op(e3, e0) = all_66_12
% 72.89/11.13 | | | | | | | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | | | | | | | REDUCE: (898), (4528) imply:
% 72.89/11.13 | | | | | | | | | | | | | | | | | | (4534) op(e0, e0) = all_66_73
% 72.89/11.13 | | | | | | | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | | | | | | | BETA: splitting (4519) gives:
% 72.89/11.13 | | | | | | | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/11.13 | | | | | | | | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | | | | | | | | (4535) all_64_9 = e1
% 72.89/11.13 | | | | | | | | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (542), (4535) imply:
% 72.89/11.13 | | | | | | | | | | | | | | | | | | | (4536) all_10_0 = e1
% 72.89/11.13 | | | | | | | | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | | | | | | | | REDUCE: (4452), (4536) imply:
% 72.89/11.13 | | | | | | | | | | | | | | | | | | | (4537) $false
% 72.89/11.13 | | | | | | | | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | | | | | | | | CLOSE: (4537) is inconsistent.
% 72.89/11.13 | | | | | | | | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/11.13 | | | | | | | | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | | | | | | | | (4538) all_64_9 = e0
% 72.89/11.13 | | | | | | | | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (542), (4538) imply:
% 72.89/11.13 | | | | | | | | | | | | | | | | | | | (4539) all_10_0 = e0
% 72.89/11.13 | | | | | | | | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | | | | | | | | REDUCE: (745), (4539) imply:
% 72.89/11.13 | | | | | | | | | | | | | | | | | | | (4540) ~ (all_20_0 = e0)
% 72.89/11.13 | | | | | | | | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | | | | | | | | REDUCE: (731), (4539) imply:
% 72.89/11.13 | | | | | | | | | | | | | | | | | | | (4541) ~ (all_14_0 = e0)
% 72.89/11.13 | | | | | | | | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | | | | | | | | REDUCE: (809), (4539) imply:
% 72.89/11.13 | | | | | | | | | | | | | | | | | | | (4542) op(e0, e1) = all_66_38
% 72.89/11.13 | | | | | | | | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | | | | | | | | REDUCE: (844), (4539) imply:
% 72.89/11.13 | | | | | | | | | | | | | | | | | | | (4543) op(e3, e0) = all_66_9
% 72.89/11.13 | | | | | | | | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | | | | | | | | REDUCE: (878), (4539) imply:
% 72.89/11.13 | | | | | | | | | | | | | | | | | | | (4544) op(e1, e0) = all_66_41
% 72.89/11.13 | | | | | | | | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | | | | | | | | REDUCE: (4454), (4539) imply:
% 72.89/11.13 | | | | | | | | | | | | | | | | | | | (4545) op(e1, e3) = e0
% 72.89/11.13 | | | | | | | | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | | | | | | | | REDUCE: (895), (4539) imply:
% 72.89/11.13 | | | | | | | | | | | | | | | | | | | (4546) op(e0, e0) = all_66_67
% 72.89/11.13 | | | | | | | | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | | | | | | | | BETA: splitting (269) gives:
% 72.89/11.13 | | | | | | | | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/11.13 | | | | | | | | | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | | | | | | | | | (4547) all_64_13 = e3
% 72.89/11.13 | | | | | | | | | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (550), (4547) imply:
% 72.89/11.13 | | | | | | | | | | | | | | | | | | | | (4548) all_20_0 = e3
% 72.89/11.13 | | | | | | | | | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | | | | | | | | | REDUCE: (4472), (4548) imply:
% 72.89/11.13 | | | | | | | | | | | | | | | | | | | | (4549) $false
% 72.89/11.13 | | | | | | | | | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | | | | | | | | | CLOSE: (4549) is inconsistent.
% 72.89/11.13 | | | | | | | | | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/11.13 | | | | | | | | | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | | | | | | | | | (4550) all_64_13 = e2 | all_64_13 = e1 | all_64_13 = e0
% 72.89/11.13 | | | | | | | | | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | | | | | | | | | BETA: splitting (4550) gives:
% 72.89/11.13 | | | | | | | | | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/11.13 | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | | | | | | | | | | (4551) all_64_13 = e2
% 72.89/11.13 | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (550), (4551) imply:
% 72.89/11.13 | | | | | | | | | | | | | | | | | | | | | (4552) all_20_0 = e2
% 72.89/11.13 | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | | | | | | | | | | REDUCE: (748), (4552) imply:
% 72.89/11.13 | | | | | | | | | | | | | | | | | | | | | (4553) ~ (all_42_0 = e2)
% 72.89/11.13 | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | | | | | | | | | | REDUCE: (733), (4552) imply:
% 72.89/11.13 | | | | | | | | | | | | | | | | | | | | | (4554) ~ (all_14_0 = e2)
% 72.89/11.13 | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.13 | | | | | | | | | | | | | | | | | | | | | SIMP: (4554) implies:
% 72.89/11.13 | | | | | | | | | | | | | | | | | | | | | (4555) ~ (all_14_0 = e2)
% 72.89/11.13 | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | REDUCE: (823), (4552) imply:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | (4556) op(e2, e3) = all_66_57
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | REDUCE: (824), (4552) imply:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | (4557) op(e2, e2) = all_66_59
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | REDUCE: (825), (4552) imply:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | (4558) op(e2, e1) = all_66_61
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (280) gives:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | (4559) all_64_1 = e3
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (525), (4559) imply:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | (4560) all_14_0 = e3
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3974), (4560) imply:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | (4561) op(all_40_0, e3) = e3
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (775), (4560) imply:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | (4562) op(e3, e3) = all_66_4
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (778), (4560) imply:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | (4563) op(e3, e0) = all_66_7
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (836), (4560) imply:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | (4564) op(e3, e3) = all_66_1
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (887), (4560) imply:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | (4565) op(e0, e3) = all_66_51
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4515) gives:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | (4566) all_64_7 = e2
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (687), (4566) imply:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | (4567) all_22_0 = e2
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (758), (4567) imply:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | (4568) ~ (all_12_0 = e2)
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4568) implies:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | (4569) ~ (all_12_0 = e2)
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (842), (4567) imply:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | (4570) op(e3, e2) = all_66_7
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4511), (4567) imply:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | (4571) op(e1, e0) = e2
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (268) gives:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | (4572) all_64_14 = e3
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (551), (4572) imply:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | (4573) all_42_0 = e3
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (752), (4573) imply:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | (4574) ~ (all_40_0 = e3)
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4574) implies:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | (4575) ~ (all_40_0 = e3)
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (756), (4573) imply:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | (4576) ~ (all_12_0 = e3)
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4576) implies:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | (4577) ~ (all_12_0 = e3)
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (828), (4573) imply:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | (4578) op(e3, e2) = all_66_67
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (829), (4573) imply:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | (4579) op(e3, e1) = all_66_69
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (830), (4573) imply:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | (4580) op(e3, e0) = all_66_71
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (849), (4573) imply:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | (4581) op(e3, e3) = all_66_14
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (883), (4573) imply:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | (4582) op(e1, e3) = all_66_46
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (900), (4573) imply:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | (4583) op(e0, e3) = all_66_77
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (275) gives:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | (4584) all_64_6 = e3
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (688), (4584) imply:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | (4585) all_12_0 = e3
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4577), (4585) imply:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | (4586) $false
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4586) is inconsistent.
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | (4587) all_64_6 = e2 | all_64_6 = e1 | all_64_6 = e0
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4587) gives:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (4588) all_64_6 = e2
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (688), (4588) imply:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (4589) all_12_0 = e2
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4569), (4589) imply:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (4590) $false
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4590) is inconsistent.
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (4591) all_64_6 = e1 | all_64_6 = e0
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (279) gives:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4592) all_64_2 = e3
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (4592) imply:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4593) all_40_0 = e3
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4575), (4593) imply:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4594) $false
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4594) is inconsistent.
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | (4595) all_64_2 = e2 | all_64_2 = e1 | all_64_2 = e0
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4595) gives:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4596) all_64_2 = e2
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (494), (4596) imply:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4597) all_40_0 = e2
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4561), (4597) imply:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4598) op(e2, e3) = e3
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (780), (4597) imply:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4599) op(e2, e2) = all_66_9
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (781), (4597) imply:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4600) op(e2, e1) = all_66_10
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (4591) gives:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4601) all_64_6 = e1
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (688), (4601) imply:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4602) all_12_0 = e1
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4602) implies:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4603) all_12_0 = e1
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4451), (4603) imply:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4604) $false
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (4604) is inconsistent.
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4605) all_64_6 = e0
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (688), (4605) imply:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4606) all_12_0 = e0
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4606) implies:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4607) all_12_0 = e0
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (4451), (4607) imply:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4608) ~ (e1 = e0)
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4608) implies:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4609) ~ (e1 = e0)
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (797), (4607) imply:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4610) op(e0, e1) = all_66_26
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (798), (4607) imply:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4611) op(e0, e0) = all_66_27
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (875), (4607) imply:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4612) op(e1, e0) = all_66_38
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (892), (4607) imply:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4613) op(e0, e0) = all_66_61
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_67, all_66_61, e0,
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (4546), (4613) gives:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4614) all_66_61 = all_66_67
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_61, all_66_55, e0,
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (4532), (4613) gives:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4615) all_66_55 = all_66_61
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_73, all_66_55, e0,
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (4532), (4534) gives:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4616) all_66_55 = all_66_73
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_27, all_66_15, e0,
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (4509), (4611) gives:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4617) all_66_15 = all_66_27
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_55, all_66_15, e0,
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (4509), (4532) gives:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4618) all_66_15 = all_66_55
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_59, all_66_53, e1,
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (4467), (4531) gives:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4619) all_66_53 = all_66_59
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_69, all_66_38, e1,
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (4466), (4542) gives:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4620) all_66_38 = all_66_69
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_49, all_66_26, e1,
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (4468), (4610) gives:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4621) all_66_26 = all_66_49
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_53, all_66_14, e1,
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (4508), (4531) gives:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4622) all_66_14 = all_66_53
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_77, all_66_71, e3,
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (4426), (4583) gives:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4623) all_66_71 = all_66_77
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_77, all_66_51, e3,
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (4565), (4583) gives:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4624) all_66_51 = all_66_77
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_57, all_66_49, e3,
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (4486), (4530) gives:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4625) all_66_49 = all_66_57
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_51, all_66_12, e3,
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e0, simplifying with (4507), (4565) gives:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4626) all_66_12 = all_66_51
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with e2, all_66_41, e0, e1,
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (4544), (4571) gives:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4627) all_66_41 = e2
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_41, all_66_38, e0,
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (4544), (4612) gives:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4628) all_66_38 = all_66_41
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_38, all_66_23, e0,
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (4457), (4612) gives:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4629) all_66_23 = all_66_38
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_43, all_66_23, e0,
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (4455), (4457) gives:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4630) all_66_23 = all_66_43
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_78, all_66_3, e0,
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (4459), (4461) gives:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4631) all_66_3 = all_66_78
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_46, all_66_36, e3,
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (4485), (4582) gives:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4632) all_66_36 = all_66_46
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_73, all_66_36, e3,
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (4458), (4485) gives:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4633) all_66_36 = all_66_73
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with e0, all_66_36, e3, e1,
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (4485), (4545) gives:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4634) all_66_36 = e0
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_20, all_66_0, e3,
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e1, simplifying with (4456), (4460) gives:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4635) all_66_0 = all_66_20
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_21, all_66_10, e1,
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (4465), (4600) gives:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4636) all_66_10 = all_66_21
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_26, all_66_10, e1,
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (4464), (4600) gives:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4637) all_66_10 = all_66_26
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_61, all_66_10, e1,
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (4558), (4600) gives:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4638) all_66_10 = all_66_61
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_59, all_66_9, e2,
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (4557), (4599) gives:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4639) all_66_9 = all_66_59
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with e3, all_66_57, e3, e2,
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (4556), (4598) gives:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4640) all_66_57 = e3
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_27, all_66_20, e3,
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e2, simplifying with (4425), (4484) gives:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4641) all_66_20 = all_66_27
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_19, all_66_12, e0,
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (4483), (4533) gives:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4642) all_66_12 = all_66_19
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_71, all_66_9, e0,
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (4543), (4580) gives:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4643) all_66_9 = all_66_71
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_19, all_66_7, e0,
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (4483), (4563) gives:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4644) all_66_7 = all_66_19
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_12, all_66_3, e0,
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (4510), (4533) gives:
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4645) all_66_3 = all_66_12
% 72.89/11.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_69, all_66_0, e1,
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (4462), (4579) gives:
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4646) all_66_0 = all_66_69
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_67, all_66_7, e2,
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (4570), (4578) gives:
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4647) all_66_7 = all_66_67
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_16, all_66_14, e3,
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (4482), (4581) gives:
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4648) all_66_14 = all_66_16
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with e1, all_66_4, e3, e3,
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (4463), (4562) gives:
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4649) all_66_4 = e1
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_4, all_66_1, e3,
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (4562), (4564) gives:
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4650) all_66_1 = all_66_4
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_11, all_66_1, e3,
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (4424), (4564) gives:
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4651) all_66_1 = all_66_11
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (45) with all_66_14, all_66_1, e3,
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e3, simplifying with (4564), (4581) gives:
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4652) all_66_1 = all_66_14
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4635), (4646) imply:
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4653) all_66_20 = all_66_69
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4653) implies:
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4654) all_66_20 = all_66_69
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4650), (4651) imply:
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4655) all_66_4 = all_66_11
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4655) implies:
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4656) all_66_4 = all_66_11
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4651), (4652) imply:
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4657) all_66_11 = all_66_14
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4631), (4645) imply:
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4658) all_66_12 = all_66_78
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4658) implies:
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4659) all_66_12 = all_66_78
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4649), (4656) imply:
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4660) all_66_11 = e1
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4660) implies:
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4661) all_66_11 = e1
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4644), (4647) imply:
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4662) all_66_19 = all_66_67
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4662) implies:
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4663) all_66_19 = all_66_67
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4639), (4643) imply:
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4664) all_66_59 = all_66_71
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4636), (4637) imply:
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4665) all_66_21 = all_66_26
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4636), (4638) imply:
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4666) all_66_21 = all_66_61
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4657), (4661) imply:
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4667) all_66_14 = e1
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4667) implies:
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4668) all_66_14 = e1
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4626), (4659) imply:
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4669) all_66_51 = all_66_78
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4669) implies:
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4670) all_66_51 = all_66_78
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4642), (4659) imply:
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4671) all_66_19 = all_66_78
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4671) implies:
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4672) all_66_19 = all_66_78
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4622), (4648) imply:
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4673) all_66_16 = all_66_53
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4648), (4668) imply:
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4674) all_66_16 = e1
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4617), (4618) imply:
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4675) all_66_27 = all_66_55
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4673), (4674) imply:
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4676) all_66_53 = e1
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4676) implies:
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4677) all_66_53 = e1
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4663), (4672) imply:
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4678) all_66_67 = all_66_78
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4678) implies:
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4679) all_66_67 = all_66_78
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4641), (4654) imply:
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4680) all_66_27 = all_66_69
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4680) implies:
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4681) all_66_27 = all_66_69
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4665), (4666) imply:
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4682) all_66_26 = all_66_61
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4682) implies:
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4683) all_66_26 = all_66_61
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4629), (4630) imply:
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4684) all_66_38 = all_66_43
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4684) implies:
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4685) all_66_38 = all_66_43
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4621), (4683) imply:
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4686) all_66_49 = all_66_61
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4686) implies:
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4687) all_66_49 = all_66_61
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4675), (4681) imply:
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4688) all_66_55 = all_66_69
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4688) implies:
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4689) all_66_55 = all_66_69
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4632), (4634) imply:
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4690) all_66_46 = e0
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4632), (4633) imply:
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4691) all_66_46 = all_66_73
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4628), (4685) imply:
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4692) all_66_41 = all_66_43
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4692) implies:
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4693) all_66_41 = all_66_43
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4620), (4685) imply:
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4694) all_66_43 = all_66_69
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4627), (4693) imply:
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4695) all_66_43 = e2
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4694), (4695) imply:
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4696) all_66_69 = e2
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4696) implies:
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4697) all_66_69 = e2
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4690), (4691) imply:
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4698) all_66_73 = e0
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4698) implies:
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4699) all_66_73 = e0
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4625), (4687) imply:
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4700) all_66_57 = all_66_61
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4700) implies:
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4701) all_66_57 = all_66_61
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4624), (4670) imply:
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4702) all_66_77 = all_66_78
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4702) implies:
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4703) all_66_77 = all_66_78
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4619), (4677) imply:
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4704) all_66_59 = e1
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4704) implies:
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4705) all_66_59 = e1
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4616), (4689) imply:
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4706) all_66_69 = all_66_73
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4615), (4689) imply:
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4707) all_66_61 = all_66_69
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4707) implies:
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4708) all_66_61 = all_66_69
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4640), (4701) imply:
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4709) all_66_61 = e3
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4709) implies:
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4710) all_66_61 = e3
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4664), (4705) imply:
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4711) all_66_71 = e1
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4711) implies:
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4712) all_66_71 = e1
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4614), (4710) imply:
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4713) all_66_67 = e3
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4713) implies:
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4714) all_66_67 = e3
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4708), (4710) imply:
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4715) all_66_69 = e3
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4715) implies:
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4716) all_66_69 = e3
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4679), (4714) imply:
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4717) all_66_78 = e3
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4697), (4706) imply:
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4718) all_66_73 = e2
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4718) implies:
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4719) all_66_73 = e2
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4697), (4716) imply:
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4720) e3 = e2
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4720) implies:
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4721) e3 = e2
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4623), (4712) imply:
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4722) all_66_77 = e1
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4722) implies:
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4723) all_66_77 = e1
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4699), (4719) imply:
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4724) e2 = e0
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4724) implies:
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4725) e2 = e0
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4703), (4723) imply:
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4726) all_66_78 = e1
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4726) implies:
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4727) all_66_78 = e1
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4717), (4727) imply:
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4728) e3 = e1
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4728) implies:
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4729) e3 = e1
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (4721), (4729) imply:
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4730) e2 = e1
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (4730) implies:
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4731) e2 = e1
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (4609), (4725), (4731) are inconsistent by
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #3.
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (4732) all_64_2 = e1 | all_64_2 = e0
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (494), (4445), (4504), (4732) are inconsistent by
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #35.
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | (4733) all_64_14 = e2 | all_64_14 = e1 | all_64_14 = e0
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (551), (4444), (4529), (4553), (4733) are
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #5.
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | (4734) all_64_7 = e1 | all_64_7 = e0
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (687), (4448), (4506), (4734) are inconsistent by
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #75.
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | (4735) all_64_1 = e2 | all_64_1 = e1 | all_64_1 = e0
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (525), (4450), (4541), (4555), (4735) are
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #63.
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | Case 2:
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | (4736) all_64_13 = e1 | all_64_13 = e0
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (550), (4449), (4540), (4736) are inconsistent by
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | | sub-proof #39.
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | | End of split
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | | End of split
% 72.89/11.15 | | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | | End of split
% 72.89/11.15 | | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | | End of split
% 72.89/11.15 | | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | | End of split
% 72.89/11.15 | | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | | End of split
% 72.89/11.15 | | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | | End of split
% 72.89/11.15 | | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | | End of split
% 72.89/11.15 | | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | | End of split
% 72.89/11.15 | | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | | End of split
% 72.89/11.15 | | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | End of split
% 72.89/11.15 | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | Case 2:
% 72.89/11.15 | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | (4737) all_64_4 = e2 | all_64_4 = e1 | all_64_4 = e0
% 72.89/11.15 | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | | REF_CLOSE: (689), (3959), (4453), (4470), (4737) are
% 72.89/11.15 | | | | | | | | | | inconsistent by sub-proof #97.
% 72.89/11.15 | | | | | | | | | |
% 72.89/11.15 | | | | | | | | | End of split
% 72.89/11.15 | | | | | | | | |
% 72.89/11.15 | | | | | | | | End of split
% 72.89/11.15 | | | | | | | |
% 72.89/11.15 | | | | | | | Case 2:
% 72.89/11.15 | | | | | | | |
% 72.89/11.15 | | | | | | | | (4738) ~ (all_36_1 = e1)
% 72.89/11.15 | | | | | | | |
% 72.89/11.15 | | | | | | | | REDUCE: (4442), (4738) imply:
% 72.89/11.15 | | | | | | | | (4739) $false
% 72.89/11.15 | | | | | | | |
% 72.89/11.15 | | | | | | | | CLOSE: (4739) is inconsistent.
% 72.89/11.15 | | | | | | | |
% 72.89/11.15 | | | | | | | End of split
% 72.89/11.15 | | | | | | |
% 72.89/11.15 | | | | | | Case 2:
% 72.89/11.15 | | | | | | |
% 72.89/11.15 | | | | | | | (4740) ~ (all_46_1 = e1)
% 72.89/11.15 | | | | | | |
% 72.89/11.15 | | | | | | | REDUCE: (4443), (4740) imply:
% 72.89/11.15 | | | | | | | (4741) $false
% 72.89/11.15 | | | | | | |
% 72.89/11.15 | | | | | | | CLOSE: (4741) is inconsistent.
% 72.89/11.15 | | | | | | |
% 72.89/11.15 | | | | | | End of split
% 72.89/11.15 | | | | | |
% 72.89/11.15 | | | | | Case 2:
% 72.89/11.15 | | | | | |
% 72.89/11.15 | | | | | | (4742) ~ (all_30_1 = e1)
% 72.89/11.15 | | | | | |
% 72.89/11.15 | | | | | | REDUCE: (4441), (4742) imply:
% 72.89/11.15 | | | | | | (4743) $false
% 72.89/11.15 | | | | | |
% 72.89/11.15 | | | | | | CLOSE: (4743) is inconsistent.
% 72.89/11.15 | | | | | |
% 72.89/11.15 | | | | | End of split
% 72.89/11.15 | | | | |
% 72.89/11.15 | | | | Case 2:
% 72.89/11.15 | | | | |
% 72.89/11.15 | | | | | (4744) all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 & all_56_3 =
% 72.89/11.15 | | | | | e0
% 72.89/11.15 | | | | |
% 72.89/11.15 | | | | | REF_CLOSE: (559), (3955), (4744) are inconsistent by sub-proof #10.
% 72.89/11.15 | | | | |
% 72.89/11.15 | | | | End of split
% 72.89/11.15 | | | |
% 72.89/11.15 | | | End of split
% 72.89/11.15 | | |
% 72.89/11.15 | | End of split
% 72.89/11.15 | |
% 72.89/11.15 | End of split
% 72.89/11.15 |
% 72.89/11.16 End of proof
% 72.89/11.16
% 72.89/11.16 Sub-proof #1 shows that the following formulas are inconsistent:
% 72.89/11.16 ----------------------------------------------------------------
% 72.89/11.16 (1) ~ (all_36_0 = e1)
% 72.89/11.16 (2) all_64_4 = e3 | all_64_4 = e2 | all_64_4 = e1 | all_64_4 = e0
% 72.89/11.16 (3) ~ (all_22_0 = all_6_0)
% 72.89/11.16 (4) ~ (all_22_0 = e3)
% 72.89/11.16 (5) all_64_7 = e3 | all_64_7 = e2 | all_64_7 = e1 | all_64_7 = e0
% 72.89/11.16 (6) ~ (all_36_0 = e2)
% 72.89/11.16 (7) ~ (all_6_0 = e0)
% 72.89/11.16 (8) ~ (all_22_0 = e1)
% 72.89/11.16 (9) ~ (all_6_0 = e1)
% 72.89/11.16 (10) all_64_4 = all_6_0
% 72.89/11.16 (11) all_64_3 = all_36_0
% 72.89/11.16 (12) ~ (all_6_0 = e3)
% 72.89/11.16 (13) ~ (all_36_0 = all_22_0)
% 72.89/11.16 (14) ~ (all_36_0 = e3)
% 72.89/11.16 (15) all_64_3 = e3 | all_64_3 = e2 | all_64_3 = e1 | all_64_3 = e0
% 72.89/11.16 (16) all_64_7 = all_22_0
% 72.89/11.16
% 72.89/11.16 Begin of proof
% 72.89/11.16 |
% 72.89/11.16 | BETA: splitting (2) gives:
% 72.89/11.16 |
% 72.89/11.16 | Case 1:
% 72.89/11.16 | |
% 72.89/11.16 | | (17) all_64_4 = e3
% 72.89/11.16 | |
% 72.89/11.16 | | COMBINE_EQS: (10), (17) imply:
% 72.89/11.16 | | (18) all_6_0 = e3
% 72.89/11.16 | |
% 72.89/11.16 | | REDUCE: (12), (18) imply:
% 72.89/11.16 | | (19) $false
% 72.89/11.16 | |
% 72.89/11.16 | | CLOSE: (19) is inconsistent.
% 72.89/11.16 | |
% 72.89/11.16 | Case 2:
% 72.89/11.16 | |
% 72.89/11.16 | | (20) all_64_4 = e2 | all_64_4 = e1 | all_64_4 = e0
% 72.89/11.16 | |
% 72.89/11.16 | | BETA: splitting (15) gives:
% 72.89/11.16 | |
% 72.89/11.16 | | Case 1:
% 72.89/11.16 | | |
% 72.89/11.16 | | | (21) all_64_3 = e3
% 72.89/11.16 | | |
% 72.89/11.16 | | | COMBINE_EQS: (11), (21) imply:
% 72.89/11.16 | | | (22) all_36_0 = e3
% 72.89/11.16 | | |
% 72.89/11.16 | | | REDUCE: (14), (22) imply:
% 72.89/11.16 | | | (23) $false
% 72.89/11.16 | | |
% 72.89/11.16 | | | CLOSE: (23) is inconsistent.
% 72.89/11.16 | | |
% 72.89/11.16 | | Case 2:
% 72.89/11.16 | | |
% 72.89/11.16 | | | (24) all_64_3 = e2 | all_64_3 = e1 | all_64_3 = e0
% 72.89/11.16 | | |
% 72.89/11.16 | | | REF_CLOSE: (1), (3), (4), (5), (6), (7), (8), (9), (10), (11), (13), (16),
% 72.89/11.16 | | | (20), (24) are inconsistent by sub-proof #14.
% 72.89/11.16 | | |
% 72.89/11.16 | | End of split
% 72.89/11.16 | |
% 72.89/11.16 | End of split
% 72.89/11.16 |
% 72.89/11.16 End of proof
% 72.89/11.16
% 72.89/11.16 Sub-proof #2 shows that the following formulas are inconsistent:
% 72.89/11.16 ----------------------------------------------------------------
% 72.89/11.16 (1) ~ (all_4_0 = e2)
% 72.89/11.16 (2) all_64_8 = all_4_0
% 72.89/11.16 (3) all_64_8 = e3 | all_64_8 = e2 | all_64_8 = e1 | all_64_8 = e0
% 72.89/11.16 (4) ~ (all_20_0 = all_14_0)
% 72.89/11.16 (5) ~ (all_4_0 = e0)
% 72.89/11.16 (6) ~ (all_20_0 = e2)
% 72.89/11.16 (7) all_64_1 = all_14_0
% 72.89/11.16 (8) op(e1, all_20_0) = all_14_0
% 72.89/11.16 (9) all_64_1 = e3 | all_64_1 = e2 | all_64_1 = e1 | all_64_1 = e0
% 72.89/11.16 (10) ~ (all_4_0 = e3)
% 72.89/11.16 (11) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 72.89/11.16 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 72.89/11.16 (12) all_64_13 = all_20_0
% 72.89/11.16 (13) ~ (all_14_0 = e1)
% 72.89/11.16 (14) ~ (all_20_0 = e0)
% 72.89/11.16 (15) ~ (all_20_0 = e1)
% 72.89/11.16 (16) op(e1, e3) = all_4_0
% 72.89/11.16 (17) ~ (all_14_0 = e0)
% 72.89/11.16 (18) all_64_13 = e3 | all_64_13 = e2 | all_64_13 = e1 | all_64_13 = e0
% 72.89/11.16
% 72.89/11.16 Begin of proof
% 72.89/11.16 |
% 72.89/11.16 | BETA: splitting (3) gives:
% 72.89/11.16 |
% 72.89/11.16 | Case 1:
% 72.89/11.16 | |
% 72.89/11.16 | | (19) all_64_8 = e3
% 72.89/11.16 | |
% 72.89/11.16 | | COMBINE_EQS: (2), (19) imply:
% 72.89/11.16 | | (20) all_4_0 = e3
% 72.89/11.16 | |
% 72.89/11.16 | | REDUCE: (10), (20) imply:
% 72.89/11.16 | | (21) $false
% 72.89/11.16 | |
% 72.89/11.16 | | CLOSE: (21) is inconsistent.
% 72.89/11.16 | |
% 72.89/11.16 | Case 2:
% 72.89/11.16 | |
% 72.89/11.16 | | (22) all_64_8 = e2 | all_64_8 = e1 | all_64_8 = e0
% 72.89/11.16 | |
% 72.89/11.16 | | BETA: splitting (18) gives:
% 72.89/11.16 | |
% 72.89/11.16 | | Case 1:
% 72.89/11.16 | | |
% 72.89/11.16 | | | (23) all_64_13 = e3
% 72.89/11.16 | | |
% 72.89/11.16 | | | COMBINE_EQS: (12), (23) imply:
% 72.89/11.16 | | | (24) all_20_0 = e3
% 72.89/11.16 | | |
% 72.89/11.16 | | | SIMP: (24) implies:
% 72.89/11.16 | | | (25) all_20_0 = e3
% 72.89/11.16 | | |
% 72.89/11.16 | | | REDUCE: (4), (25) imply:
% 72.89/11.16 | | | (26) ~ (all_14_0 = e3)
% 72.89/11.16 | | |
% 72.89/11.16 | | | SIMP: (26) implies:
% 72.89/11.16 | | | (27) ~ (all_14_0 = e3)
% 72.89/11.16 | | |
% 72.89/11.16 | | | REDUCE: (8), (25) imply:
% 72.89/11.16 | | | (28) op(e1, e3) = all_14_0
% 72.89/11.16 | | |
% 72.89/11.16 | | | BETA: splitting (9) gives:
% 72.89/11.16 | | |
% 72.89/11.16 | | | Case 1:
% 72.89/11.16 | | | |
% 72.89/11.16 | | | | (29) all_64_1 = e3
% 72.89/11.16 | | | |
% 72.89/11.16 | | | | COMBINE_EQS: (7), (29) imply:
% 72.89/11.16 | | | | (30) all_14_0 = e3
% 72.89/11.16 | | | |
% 72.89/11.16 | | | | REDUCE: (27), (30) imply:
% 72.89/11.16 | | | | (31) $false
% 72.89/11.16 | | | |
% 72.89/11.16 | | | | CLOSE: (31) is inconsistent.
% 72.89/11.16 | | | |
% 72.89/11.16 | | | Case 2:
% 72.89/11.16 | | | |
% 72.89/11.16 | | | | (32) all_64_1 = e2 | all_64_1 = e1 | all_64_1 = e0
% 72.89/11.16 | | | |
% 72.89/11.16 | | | | BETA: splitting (22) gives:
% 72.89/11.16 | | | |
% 72.89/11.16 | | | | Case 1:
% 72.89/11.16 | | | | |
% 72.89/11.16 | | | | | (33) all_64_8 = e2
% 72.89/11.16 | | | | |
% 72.89/11.16 | | | | | COMBINE_EQS: (2), (33) imply:
% 72.89/11.16 | | | | | (34) all_4_0 = e2
% 72.89/11.16 | | | | |
% 72.89/11.16 | | | | | REDUCE: (1), (34) imply:
% 72.89/11.16 | | | | | (35) $false
% 72.89/11.16 | | | | |
% 72.89/11.16 | | | | | CLOSE: (35) is inconsistent.
% 72.89/11.16 | | | | |
% 72.89/11.16 | | | | Case 2:
% 72.89/11.16 | | | | |
% 72.89/11.16 | | | | | (36) all_64_8 = e1 | all_64_8 = e0
% 72.89/11.16 | | | | |
% 72.89/11.16 | | | | | BETA: splitting (36) gives:
% 72.89/11.16 | | | | |
% 72.89/11.16 | | | | | Case 1:
% 72.89/11.16 | | | | | |
% 72.89/11.16 | | | | | | (37) all_64_8 = e1
% 72.89/11.16 | | | | | |
% 72.89/11.16 | | | | | | COMBINE_EQS: (2), (37) imply:
% 72.89/11.16 | | | | | | (38) all_4_0 = e1
% 72.89/11.16 | | | | | |
% 72.89/11.16 | | | | | | REDUCE: (16), (38) imply:
% 72.89/11.16 | | | | | | (39) op(e1, e3) = e1
% 72.89/11.16 | | | | | |
% 72.89/11.16 | | | | | | BETA: splitting (32) gives:
% 72.89/11.16 | | | | | |
% 72.89/11.16 | | | | | | Case 1:
% 72.89/11.16 | | | | | | |
% 72.89/11.16 | | | | | | | (40) all_64_1 = e2
% 72.89/11.16 | | | | | | |
% 72.89/11.16 | | | | | | | COMBINE_EQS: (7), (40) imply:
% 72.89/11.16 | | | | | | | (41) all_14_0 = e2
% 72.89/11.16 | | | | | | |
% 72.89/11.16 | | | | | | | REDUCE: (13), (41) imply:
% 72.89/11.16 | | | | | | | (42) ~ (e2 = e1)
% 72.89/11.16 | | | | | | |
% 72.89/11.16 | | | | | | | REDUCE: (28), (41) imply:
% 72.89/11.16 | | | | | | | (43) op(e1, e3) = e2
% 72.89/11.16 | | | | | | |
% 72.89/11.16 | | | | | | | REF_CLOSE: (11), (39), (42), (43) are inconsistent by sub-proof
% 72.89/11.16 | | | | | | | #9.
% 72.89/11.16 | | | | | | |
% 72.89/11.16 | | | | | | Case 2:
% 72.89/11.16 | | | | | | |
% 72.89/11.16 | | | | | | | (44) all_64_1 = e1 | all_64_1 = e0
% 72.89/11.16 | | | | | | |
% 72.89/11.16 | | | | | | | REF_CLOSE: (7), (13), (17), (44) are inconsistent by sub-proof
% 72.89/11.16 | | | | | | | #70.
% 72.89/11.16 | | | | | | |
% 72.89/11.16 | | | | | | End of split
% 72.89/11.16 | | | | | |
% 72.89/11.16 | | | | | Case 2:
% 72.89/11.16 | | | | | |
% 72.89/11.16 | | | | | | (45) all_64_8 = e0
% 72.89/11.16 | | | | | |
% 72.89/11.16 | | | | | | COMBINE_EQS: (2), (45) imply:
% 72.89/11.16 | | | | | | (46) all_4_0 = e0
% 72.89/11.16 | | | | | |
% 72.89/11.16 | | | | | | REDUCE: (5), (46) imply:
% 72.89/11.16 | | | | | | (47) $false
% 72.89/11.16 | | | | | |
% 72.89/11.16 | | | | | | CLOSE: (47) is inconsistent.
% 72.89/11.16 | | | | | |
% 72.89/11.16 | | | | | End of split
% 72.89/11.16 | | | | |
% 72.89/11.16 | | | | End of split
% 72.89/11.16 | | | |
% 72.89/11.16 | | | End of split
% 72.89/11.16 | | |
% 72.89/11.16 | | Case 2:
% 72.89/11.16 | | |
% 72.89/11.16 | | | (48) all_64_13 = e2 | all_64_13 = e1 | all_64_13 = e0
% 72.89/11.16 | | |
% 72.89/11.16 | | | REF_CLOSE: (6), (12), (14), (15), (48) are inconsistent by sub-proof #38.
% 72.89/11.16 | | |
% 72.89/11.16 | | End of split
% 72.89/11.16 | |
% 72.89/11.16 | End of split
% 72.89/11.16 |
% 72.89/11.16 End of proof
% 72.89/11.16
% 72.89/11.16 Sub-proof #3 shows that the following formulas are inconsistent:
% 72.89/11.16 ----------------------------------------------------------------
% 72.89/11.16 (1) e2 = e1
% 72.89/11.16 (2) e2 = e0
% 72.89/11.16 (3) ~ (e1 = e0)
% 72.89/11.16
% 72.89/11.16 Begin of proof
% 72.89/11.16 |
% 72.89/11.16 | COMBINE_EQS: (1), (2) imply:
% 72.89/11.16 | (4) e1 = e0
% 72.89/11.16 |
% 72.89/11.16 | SIMP: (4) implies:
% 72.89/11.16 | (5) e1 = e0
% 72.89/11.16 |
% 72.89/11.16 | REDUCE: (3), (5) imply:
% 72.89/11.16 | (6) $false
% 72.89/11.16 |
% 72.89/11.16 | CLOSE: (6) is inconsistent.
% 72.89/11.16 |
% 72.89/11.16 End of proof
% 72.89/11.16
% 72.89/11.16 Sub-proof #4 shows that the following formulas are inconsistent:
% 72.89/11.16 ----------------------------------------------------------------
% 72.89/11.16 (1) ~ (all_28_0 = e2)
% 72.89/11.16 (2) all_64_4 = e3 | all_64_4 = e2 | all_64_4 = e1 | all_64_4 = e0
% 72.89/11.16 (3) all_64_12 = all_28_0
% 72.89/11.16 (4) ~ (all_28_0 = all_6_0)
% 72.89/11.16 (5) ~ (all_14_0 = e3)
% 72.89/11.16 (6) ~ (all_20_0 = all_14_0)
% 72.89/11.16 (7) all_64_12 = e3 | all_64_12 = e2 | all_64_12 = e1 | all_64_12 = e0
% 72.89/11.16 (8) ~ (all_20_0 = e3)
% 72.89/11.16 (9) ~ (all_28_0 = e1)
% 72.89/11.16 (10) ~ (all_6_0 = e2)
% 72.89/11.16 (11) all_64_1 = all_14_0
% 72.89/11.16 (12) all_64_1 = e3 | all_64_1 = e2 | all_64_1 = e1 | all_64_1 = e0
% 72.89/11.16 (13) ~ (all_6_0 = e0)
% 72.89/11.16 (14) all_64_13 = all_20_0
% 72.89/11.16 (15) ~ (all_6_0 = e1)
% 72.89/11.16 (16) ~ (all_14_0 = e1)
% 72.89/11.16 (17) all_64_4 = all_6_0
% 72.89/11.16 (18) ~ (all_20_0 = e1)
% 72.89/11.16 (19) ~ (all_28_0 = all_20_0)
% 72.89/11.16 (20) ~ (all_14_0 = e0)
% 72.89/11.16 (21) all_64_13 = e3 | all_64_13 = e2 | all_64_13 = e1 | all_64_13 = e0
% 72.89/11.16
% 72.89/11.16 Begin of proof
% 72.89/11.16 |
% 72.89/11.16 | BETA: splitting (2) gives:
% 72.89/11.16 |
% 72.89/11.16 | Case 1:
% 72.89/11.16 | |
% 72.89/11.16 | | (22) all_64_4 = e3
% 72.89/11.16 | |
% 72.89/11.16 | | COMBINE_EQS: (17), (22) imply:
% 72.89/11.16 | | (23) all_6_0 = e3
% 72.89/11.16 | |
% 72.89/11.16 | | REDUCE: (4), (23) imply:
% 72.89/11.16 | | (24) ~ (all_28_0 = e3)
% 72.89/11.16 | |
% 72.89/11.16 | | BETA: splitting (12) gives:
% 72.89/11.16 | |
% 72.89/11.16 | | Case 1:
% 72.89/11.16 | | |
% 72.89/11.16 | | | (25) all_64_1 = e3
% 72.89/11.16 | | |
% 72.89/11.16 | | | COMBINE_EQS: (11), (25) imply:
% 72.89/11.16 | | | (26) all_14_0 = e3
% 72.89/11.16 | | |
% 72.89/11.16 | | | REDUCE: (5), (26) imply:
% 72.89/11.16 | | | (27) $false
% 72.89/11.16 | | |
% 72.89/11.16 | | | CLOSE: (27) is inconsistent.
% 72.89/11.16 | | |
% 72.89/11.16 | | Case 2:
% 72.89/11.16 | | |
% 72.89/11.16 | | | (28) all_64_1 = e2 | all_64_1 = e1 | all_64_1 = e0
% 72.89/11.16 | | |
% 72.89/11.16 | | | BETA: splitting (7) gives:
% 72.89/11.16 | | |
% 72.89/11.16 | | | Case 1:
% 72.89/11.16 | | | |
% 72.89/11.16 | | | | (29) all_64_12 = e3
% 72.89/11.16 | | | |
% 72.89/11.16 | | | | COMBINE_EQS: (3), (29) imply:
% 72.89/11.16 | | | | (30) all_28_0 = e3
% 72.89/11.16 | | | |
% 72.89/11.16 | | | | REDUCE: (24), (30) imply:
% 72.89/11.16 | | | | (31) $false
% 72.89/11.16 | | | |
% 72.89/11.16 | | | | CLOSE: (31) is inconsistent.
% 72.89/11.16 | | | |
% 72.89/11.16 | | | Case 2:
% 72.89/11.16 | | | |
% 72.89/11.16 | | | | (32) all_64_12 = e2 | all_64_12 = e1 | all_64_12 = e0
% 72.89/11.16 | | | |
% 72.89/11.16 | | | | BETA: splitting (32) gives:
% 72.89/11.16 | | | |
% 72.89/11.16 | | | | Case 1:
% 72.89/11.16 | | | | |
% 72.89/11.16 | | | | | (33) all_64_12 = e2
% 72.89/11.16 | | | | |
% 72.89/11.16 | | | | | COMBINE_EQS: (3), (33) imply:
% 72.89/11.17 | | | | | (34) all_28_0 = e2
% 72.89/11.17 | | | | |
% 72.89/11.17 | | | | | REDUCE: (1), (34) imply:
% 72.89/11.17 | | | | | (35) $false
% 72.89/11.17 | | | | |
% 72.89/11.17 | | | | | CLOSE: (35) is inconsistent.
% 72.89/11.17 | | | | |
% 72.89/11.17 | | | | Case 2:
% 72.89/11.17 | | | | |
% 72.89/11.17 | | | | | (36) all_64_12 = e1 | all_64_12 = e0
% 72.89/11.17 | | | | |
% 72.89/11.17 | | | | | BETA: splitting (28) gives:
% 72.89/11.17 | | | | |
% 72.89/11.17 | | | | | Case 1:
% 72.89/11.17 | | | | | |
% 72.89/11.17 | | | | | | (37) all_64_1 = e2
% 72.89/11.17 | | | | | |
% 72.89/11.17 | | | | | | COMBINE_EQS: (11), (37) imply:
% 72.89/11.17 | | | | | | (38) all_14_0 = e2
% 72.89/11.17 | | | | | |
% 72.89/11.17 | | | | | | REDUCE: (6), (38) imply:
% 72.89/11.17 | | | | | | (39) ~ (all_20_0 = e2)
% 72.89/11.17 | | | | | |
% 72.89/11.17 | | | | | | BETA: splitting (21) gives:
% 72.89/11.17 | | | | | |
% 72.89/11.17 | | | | | | Case 1:
% 72.89/11.17 | | | | | | |
% 72.89/11.17 | | | | | | | (40) all_64_13 = e3
% 72.89/11.17 | | | | | | |
% 72.89/11.17 | | | | | | | COMBINE_EQS: (14), (40) imply:
% 72.89/11.17 | | | | | | | (41) all_20_0 = e3
% 72.89/11.17 | | | | | | |
% 72.89/11.17 | | | | | | | REDUCE: (8), (41) imply:
% 72.89/11.17 | | | | | | | (42) $false
% 72.89/11.17 | | | | | | |
% 72.89/11.17 | | | | | | | CLOSE: (42) is inconsistent.
% 72.89/11.17 | | | | | | |
% 72.89/11.17 | | | | | | Case 2:
% 72.89/11.17 | | | | | | |
% 72.89/11.17 | | | | | | | (43) all_64_13 = e2 | all_64_13 = e1 | all_64_13 = e0
% 72.89/11.17 | | | | | | |
% 72.89/11.17 | | | | | | | BETA: splitting (43) gives:
% 72.89/11.17 | | | | | | |
% 72.89/11.17 | | | | | | | Case 1:
% 72.89/11.17 | | | | | | | |
% 72.89/11.17 | | | | | | | | (44) all_64_13 = e2
% 72.89/11.17 | | | | | | | |
% 72.89/11.17 | | | | | | | | COMBINE_EQS: (14), (44) imply:
% 72.89/11.17 | | | | | | | | (45) all_20_0 = e2
% 72.89/11.17 | | | | | | | |
% 72.89/11.17 | | | | | | | | REDUCE: (39), (45) imply:
% 72.89/11.17 | | | | | | | | (46) $false
% 72.89/11.17 | | | | | | | |
% 72.89/11.17 | | | | | | | | CLOSE: (46) is inconsistent.
% 72.89/11.17 | | | | | | | |
% 72.89/11.17 | | | | | | | Case 2:
% 72.89/11.17 | | | | | | | |
% 72.89/11.17 | | | | | | | | (47) all_64_13 = e1 | all_64_13 = e0
% 72.89/11.17 | | | | | | | |
% 72.89/11.17 | | | | | | | | BETA: splitting (36) gives:
% 72.89/11.17 | | | | | | | |
% 72.89/11.17 | | | | | | | | Case 1:
% 72.89/11.17 | | | | | | | | |
% 72.89/11.17 | | | | | | | | | (48) all_64_12 = e1
% 72.89/11.17 | | | | | | | | |
% 72.89/11.17 | | | | | | | | | COMBINE_EQS: (3), (48) imply:
% 72.89/11.17 | | | | | | | | | (49) all_28_0 = e1
% 72.89/11.17 | | | | | | | | |
% 72.89/11.17 | | | | | | | | | REDUCE: (9), (49) imply:
% 72.89/11.17 | | | | | | | | | (50) $false
% 72.89/11.17 | | | | | | | | |
% 72.89/11.17 | | | | | | | | | CLOSE: (50) is inconsistent.
% 72.89/11.17 | | | | | | | | |
% 72.89/11.17 | | | | | | | | Case 2:
% 72.89/11.17 | | | | | | | | |
% 72.89/11.17 | | | | | | | | | (51) all_64_12 = e0
% 72.89/11.17 | | | | | | | | |
% 72.89/11.17 | | | | | | | | | COMBINE_EQS: (3), (51) imply:
% 72.89/11.17 | | | | | | | | | (52) all_28_0 = e0
% 72.89/11.17 | | | | | | | | |
% 72.89/11.17 | | | | | | | | | REDUCE: (19), (52) imply:
% 72.89/11.17 | | | | | | | | | (53) ~ (all_20_0 = e0)
% 72.89/11.17 | | | | | | | | |
% 72.89/11.17 | | | | | | | | | SIMP: (53) implies:
% 72.89/11.17 | | | | | | | | | (54) ~ (all_20_0 = e0)
% 72.89/11.17 | | | | | | | | |
% 72.89/11.17 | | | | | | | | | REF_CLOSE: (14), (18), (47), (54) are inconsistent by
% 72.89/11.17 | | | | | | | | | sub-proof #39.
% 72.89/11.17 | | | | | | | | |
% 72.89/11.17 | | | | | | | | End of split
% 72.89/11.17 | | | | | | | |
% 72.89/11.17 | | | | | | | End of split
% 72.89/11.17 | | | | | | |
% 72.89/11.17 | | | | | | End of split
% 72.89/11.17 | | | | | |
% 72.89/11.17 | | | | | Case 2:
% 72.89/11.17 | | | | | |
% 72.89/11.17 | | | | | | (55) all_64_1 = e1 | all_64_1 = e0
% 72.89/11.17 | | | | | |
% 72.89/11.17 | | | | | | REF_CLOSE: (11), (16), (20), (55) are inconsistent by sub-proof #70.
% 72.89/11.17 | | | | | |
% 72.89/11.17 | | | | | End of split
% 72.89/11.17 | | | | |
% 72.89/11.17 | | | | End of split
% 72.89/11.17 | | | |
% 72.89/11.17 | | | End of split
% 72.89/11.17 | | |
% 72.89/11.17 | | End of split
% 72.89/11.17 | |
% 72.89/11.17 | Case 2:
% 72.89/11.17 | |
% 72.89/11.17 | | (56) all_64_4 = e2 | all_64_4 = e1 | all_64_4 = e0
% 72.89/11.17 | |
% 72.89/11.17 | | REF_CLOSE: (10), (13), (15), (17), (56) are inconsistent by sub-proof #97.
% 72.89/11.17 | |
% 72.89/11.17 | End of split
% 72.89/11.17 |
% 72.89/11.17 End of proof
% 72.89/11.17
% 72.89/11.17 Sub-proof #5 shows that the following formulas are inconsistent:
% 72.89/11.17 ----------------------------------------------------------------
% 72.89/11.17 (1) ~ (all_42_0 = e2)
% 72.89/11.17 (2) all_64_14 = all_42_0
% 72.89/11.17 (3) ~ (all_42_0 = e0)
% 72.89/11.17 (4) all_64_14 = e2 | all_64_14 = e1 | all_64_14 = e0
% 72.89/11.17 (5) ~ (all_42_0 = e1)
% 72.89/11.17
% 72.89/11.17 Begin of proof
% 72.89/11.17 |
% 72.89/11.17 | BETA: splitting (4) gives:
% 72.89/11.17 |
% 72.89/11.17 | Case 1:
% 72.89/11.17 | |
% 72.89/11.17 | | (6) all_64_14 = e2
% 72.89/11.17 | |
% 72.89/11.17 | | COMBINE_EQS: (2), (6) imply:
% 72.89/11.17 | | (7) all_42_0 = e2
% 72.89/11.17 | |
% 72.89/11.17 | | REDUCE: (1), (7) imply:
% 72.89/11.17 | | (8) $false
% 72.89/11.17 | |
% 72.89/11.17 | | CLOSE: (8) is inconsistent.
% 72.89/11.17 | |
% 72.89/11.17 | Case 2:
% 72.89/11.17 | |
% 72.89/11.17 | | (9) all_64_14 = e1 | all_64_14 = e0
% 72.89/11.17 | |
% 72.89/11.17 | | REF_CLOSE: (2), (3), (5), (9) are inconsistent by sub-proof #58.
% 72.89/11.17 | |
% 72.89/11.17 | End of split
% 72.89/11.17 |
% 72.89/11.17 End of proof
% 72.89/11.17
% 72.89/11.17 Sub-proof #6 shows that the following formulas are inconsistent:
% 72.89/11.17 ----------------------------------------------------------------
% 72.89/11.17 (1) (all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 & all_56_3 = e3) |
% 72.89/11.17 (all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 & all_56_3 = e2) |
% 72.89/11.17 (all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 & all_56_3 = e1) |
% 72.89/11.17 (all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 & all_56_3 = e0)
% 72.89/11.17 (2) ~ (all_8_0 = e0)
% 72.89/11.17 (3) ~ (all_4_1 = e0)
% 72.89/11.17 (4) all_64_11 = all_8_0
% 72.89/11.17 (5) ~ (all_8_0 = e3)
% 72.89/11.17 (6) all_56_3 = all_8_1
% 72.89/11.17 (7) all_56_1 = all_10_1
% 72.89/11.17 (8) all_64_11 = e3 | all_64_11 = e2 | all_64_11 = e1 | all_64_11 = e0
% 72.89/11.17 (9) ~ (all_8_0 = e2)
% 72.89/11.17 (10) ~ (all_10_1 = e3)
% 72.89/11.17 (11) ~ (all_4_1 = e2)
% 72.89/11.17 (12) all_56_0 = all_4_1
% 72.89/11.17 (13) ~ (all_8_0 = all_8_1)
% 72.89/11.17
% 72.89/11.17 Begin of proof
% 72.89/11.17 |
% 72.89/11.17 | BETA: splitting (1) gives:
% 72.89/11.17 |
% 72.89/11.17 | Case 1:
% 72.89/11.17 | |
% 72.89/11.17 | | (14) (all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 & all_56_3 = e3) |
% 72.89/11.17 | | (all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 & all_56_3 = e2)
% 72.89/11.17 | |
% 72.89/11.17 | | BETA: splitting (14) gives:
% 72.89/11.17 | |
% 72.89/11.17 | | Case 1:
% 72.89/11.17 | | |
% 72.89/11.17 | | | (15) all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 & all_56_3 = e3
% 72.89/11.17 | | |
% 72.89/11.17 | | | REF_CLOSE: (7), (10), (15) are inconsistent by sub-proof #32.
% 72.89/11.17 | | |
% 72.89/11.17 | | Case 2:
% 72.89/11.17 | | |
% 72.89/11.17 | | | (16) all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 & all_56_3 = e2
% 72.89/11.17 | | |
% 72.89/11.17 | | | REF_CLOSE: (11), (12), (16) are inconsistent by sub-proof #7.
% 72.89/11.17 | | |
% 72.89/11.17 | | End of split
% 72.89/11.17 | |
% 72.89/11.17 | Case 2:
% 72.89/11.17 | |
% 72.89/11.17 | | (17) (all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 & all_56_3 = e1) |
% 72.89/11.17 | | (all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 & all_56_3 = e0)
% 72.89/11.17 | |
% 72.89/11.17 | | BETA: splitting (17) gives:
% 72.89/11.17 | |
% 72.89/11.17 | | Case 1:
% 72.89/11.17 | | |
% 72.89/11.17 | | | (18) all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 & all_56_3 = e1
% 72.89/11.17 | | |
% 72.89/11.17 | | | REF_CLOSE: (2), (4), (5), (6), (8), (9), (13), (18) are inconsistent by
% 72.89/11.17 | | | sub-proof #24.
% 72.89/11.17 | | |
% 72.89/11.17 | | Case 2:
% 72.89/11.17 | | |
% 72.89/11.17 | | | (19) all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 & all_56_3 = e0
% 72.89/11.17 | | |
% 72.89/11.17 | | | REF_CLOSE: (3), (12), (19) are inconsistent by sub-proof #10.
% 72.89/11.17 | | |
% 72.89/11.17 | | End of split
% 72.89/11.17 | |
% 72.89/11.17 | End of split
% 72.89/11.17 |
% 72.89/11.17 End of proof
% 72.89/11.17
% 72.89/11.17 Sub-proof #7 shows that the following formulas are inconsistent:
% 72.89/11.17 ----------------------------------------------------------------
% 72.89/11.17 (1) all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 & all_56_3 = e2
% 72.89/11.17 (2) all_56_0 = all_4_1
% 72.89/11.17 (3) ~ (all_4_1 = e2)
% 72.89/11.17
% 72.89/11.17 Begin of proof
% 72.89/11.17 |
% 72.89/11.17 | ALPHA: (1) implies:
% 72.89/11.17 | (4) all_56_0 = e2
% 72.89/11.17 |
% 72.89/11.17 | COMBINE_EQS: (2), (4) imply:
% 72.89/11.17 | (5) all_4_1 = e2
% 72.89/11.17 |
% 72.89/11.17 | REDUCE: (3), (5) imply:
% 72.89/11.17 | (6) $false
% 72.89/11.17 |
% 72.89/11.17 | CLOSE: (6) is inconsistent.
% 72.89/11.17 |
% 72.89/11.17 End of proof
% 72.89/11.17
% 72.89/11.17 Sub-proof #8 shows that the following formulas are inconsistent:
% 72.89/11.17 ----------------------------------------------------------------
% 72.89/11.17 (1) ~ (all_4_0 = e2)
% 72.89/11.17 (2) (all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 & all_56_3 = e3) |
% 72.89/11.17 (all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 & all_56_3 = e2) |
% 72.89/11.17 (all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 & all_56_3 = e1) |
% 72.89/11.17 (all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 & all_56_3 = e0)
% 72.89/11.17 (3) all_64_8 = e2 | all_64_8 = e1 | all_64_8 = e0
% 72.89/11.17 (4) all_64_4 = e3 | all_64_4 = e2 | all_64_4 = e1 | all_64_4 = e0
% 72.89/11.17 (5) all_64_8 = all_4_0
% 72.89/11.17 (6) ~ (all_4_0 = all_4_1)
% 72.89/11.17 (7) op(e1, all_6_0) = all_4_1
% 72.89/11.17 (8) ~ (all_4_0 = e0)
% 72.89/11.17 (9) ~ (all_6_0 = all_4_0)
% 72.89/11.17 (10) all_56_1 = all_10_1
% 72.89/11.17 (11) ~ (all_6_0 = e0)
% 72.89/11.17 (12) ~ (all_10_1 = e3)
% 72.89/11.17 (13) ~ (all_6_0 = all_4_1)
% 72.89/11.17 (14) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 72.89/11.17 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 72.89/11.17 (15) all_64_4 = all_6_0
% 72.89/11.17 (16) op(e1, e3) = all_4_0
% 72.89/11.17 (17) ~ (all_10_1 = e0)
% 72.89/11.17 (18) all_56_0 = all_4_1
% 72.89/11.17
% 72.89/11.17 Begin of proof
% 72.89/11.17 |
% 72.89/11.17 | BETA: splitting (3) gives:
% 72.89/11.17 |
% 72.89/11.17 | Case 1:
% 72.89/11.17 | |
% 72.89/11.17 | | (19) all_64_8 = e2
% 72.89/11.17 | |
% 72.89/11.17 | | COMBINE_EQS: (5), (19) imply:
% 72.89/11.17 | | (20) all_4_0 = e2
% 72.89/11.17 | |
% 72.89/11.17 | | REDUCE: (1), (20) imply:
% 72.89/11.17 | | (21) $false
% 72.89/11.17 | |
% 72.89/11.17 | | CLOSE: (21) is inconsistent.
% 72.89/11.17 | |
% 72.89/11.17 | Case 2:
% 72.89/11.17 | |
% 72.89/11.17 | | (22) all_64_8 = e1 | all_64_8 = e0
% 72.89/11.17 | |
% 72.89/11.17 | | BETA: splitting (22) gives:
% 72.89/11.17 | |
% 72.89/11.17 | | Case 1:
% 72.89/11.17 | | |
% 72.89/11.17 | | | (23) all_64_8 = e1
% 72.89/11.17 | | |
% 72.89/11.17 | | | COMBINE_EQS: (5), (23) imply:
% 72.89/11.17 | | | (24) all_4_0 = e1
% 72.89/11.17 | | |
% 72.89/11.17 | | | REDUCE: (9), (24) imply:
% 72.89/11.17 | | | (25) ~ (all_6_0 = e1)
% 72.89/11.17 | | |
% 72.89/11.17 | | | REDUCE: (6), (24) imply:
% 72.89/11.17 | | | (26) ~ (all_4_1 = e1)
% 72.89/11.17 | | |
% 72.89/11.17 | | | SIMP: (26) implies:
% 72.89/11.17 | | | (27) ~ (all_4_1 = e1)
% 72.89/11.17 | | |
% 72.89/11.17 | | | REDUCE: (16), (24) imply:
% 72.89/11.17 | | | (28) op(e1, e3) = e1
% 72.89/11.17 | | |
% 72.89/11.17 | | | BETA: splitting (2) gives:
% 72.89/11.17 | | |
% 72.89/11.17 | | | Case 1:
% 72.89/11.17 | | | |
% 72.89/11.17 | | | | (29) (all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 & all_56_3 = e3)
% 72.89/11.17 | | | | | (all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 & all_56_3 =
% 72.89/11.17 | | | | e2)
% 72.89/11.17 | | | |
% 72.89/11.17 | | | | BETA: splitting (29) gives:
% 72.89/11.17 | | | |
% 72.89/11.17 | | | | Case 1:
% 72.89/11.17 | | | | |
% 72.89/11.17 | | | | | (30) all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 & all_56_3 = e3
% 72.89/11.17 | | | | |
% 72.89/11.17 | | | | | REF_CLOSE: (10), (12), (30) are inconsistent by sub-proof #32.
% 72.89/11.17 | | | | |
% 72.89/11.17 | | | | Case 2:
% 72.89/11.17 | | | | |
% 72.89/11.17 | | | | | (31) all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 & all_56_3 = e2
% 72.89/11.17 | | | | |
% 72.89/11.17 | | | | | ALPHA: (31) implies:
% 72.89/11.17 | | | | | (32) all_56_0 = e2
% 72.89/11.17 | | | | |
% 72.89/11.17 | | | | | COMBINE_EQS: (18), (32) imply:
% 72.89/11.17 | | | | | (33) all_4_1 = e2
% 72.89/11.17 | | | | |
% 72.89/11.17 | | | | | SIMP: (33) implies:
% 72.89/11.17 | | | | | (34) all_4_1 = e2
% 72.89/11.17 | | | | |
% 72.89/11.17 | | | | | REDUCE: (13), (34) imply:
% 72.89/11.17 | | | | | (35) ~ (all_6_0 = e2)
% 72.89/11.17 | | | | |
% 72.89/11.17 | | | | | REDUCE: (27), (34) imply:
% 72.89/11.17 | | | | | (36) ~ (e2 = e1)
% 72.89/11.17 | | | | |
% 72.89/11.17 | | | | | REDUCE: (7), (34) imply:
% 72.89/11.17 | | | | | (37) op(e1, all_6_0) = e2
% 72.89/11.17 | | | | |
% 72.89/11.17 | | | | | BETA: splitting (4) gives:
% 72.89/11.17 | | | | |
% 72.89/11.17 | | | | | Case 1:
% 72.89/11.17 | | | | | |
% 72.89/11.17 | | | | | | (38) all_64_4 = e3
% 72.89/11.17 | | | | | |
% 72.89/11.17 | | | | | | COMBINE_EQS: (15), (38) imply:
% 72.89/11.17 | | | | | | (39) all_6_0 = e3
% 72.89/11.17 | | | | | |
% 72.89/11.17 | | | | | | REDUCE: (37), (39) imply:
% 72.89/11.17 | | | | | | (40) op(e1, e3) = e2
% 72.89/11.17 | | | | | |
% 72.89/11.17 | | | | | | REF_CLOSE: (14), (28), (36), (40) are inconsistent by sub-proof #9.
% 72.89/11.17 | | | | | |
% 72.89/11.17 | | | | | Case 2:
% 72.89/11.17 | | | | | |
% 72.89/11.17 | | | | | | (41) all_64_4 = e2 | all_64_4 = e1 | all_64_4 = e0
% 72.89/11.17 | | | | | |
% 72.89/11.17 | | | | | | REF_CLOSE: (11), (15), (25), (35), (41) are inconsistent by
% 72.89/11.17 | | | | | | sub-proof #97.
% 72.89/11.17 | | | | | |
% 72.89/11.17 | | | | | End of split
% 72.89/11.17 | | | | |
% 72.89/11.17 | | | | End of split
% 72.89/11.17 | | | |
% 72.89/11.17 | | | Case 2:
% 72.89/11.17 | | | |
% 72.89/11.18 | | | | (42) (all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 & all_56_3 = e1)
% 72.89/11.18 | | | | | (all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 & all_56_3 =
% 72.89/11.18 | | | | e0)
% 72.89/11.18 | | | |
% 72.89/11.18 | | | | BETA: splitting (42) gives:
% 72.89/11.18 | | | |
% 72.89/11.18 | | | | Case 1:
% 72.89/11.18 | | | | |
% 72.89/11.18 | | | | | (43) all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 & all_56_3 = e1
% 72.89/11.18 | | | | |
% 72.89/11.18 | | | | | REF_CLOSE: (18), (27), (43) are inconsistent by sub-proof #65.
% 72.89/11.18 | | | | |
% 72.89/11.18 | | | | Case 2:
% 72.89/11.18 | | | | |
% 72.89/11.18 | | | | | (44) all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 & all_56_3 = e0
% 72.89/11.18 | | | | |
% 72.89/11.18 | | | | | REF_CLOSE: (10), (17), (44) are inconsistent by sub-proof #29.
% 72.89/11.18 | | | | |
% 72.89/11.18 | | | | End of split
% 72.89/11.18 | | | |
% 72.89/11.18 | | | End of split
% 72.89/11.18 | | |
% 72.89/11.18 | | Case 2:
% 72.89/11.18 | | |
% 72.89/11.18 | | | (45) all_64_8 = e0
% 72.89/11.18 | | |
% 72.89/11.18 | | | COMBINE_EQS: (5), (45) imply:
% 72.89/11.18 | | | (46) all_4_0 = e0
% 72.89/11.18 | | |
% 72.89/11.18 | | | REDUCE: (8), (46) imply:
% 72.89/11.18 | | | (47) $false
% 72.89/11.18 | | |
% 72.89/11.18 | | | CLOSE: (47) is inconsistent.
% 72.89/11.18 | | |
% 72.89/11.18 | | End of split
% 72.89/11.18 | |
% 72.89/11.18 | End of split
% 72.89/11.18 |
% 72.89/11.18 End of proof
% 72.89/11.18
% 72.89/11.18 Sub-proof #9 shows that the following formulas are inconsistent:
% 72.89/11.18 ----------------------------------------------------------------
% 72.89/11.18 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 72.89/11.18 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 72.89/11.18 (2) op(e1, e3) = e2
% 72.89/11.18 (3) op(e1, e3) = e1
% 72.89/11.18 (4) ~ (e2 = e1)
% 72.89/11.18
% 72.89/11.18 Begin of proof
% 72.89/11.18 |
% 72.89/11.18 | GROUND_INST: instantiating (1) with e2, e1, e3, e1, simplifying with (2), (3)
% 72.89/11.18 | gives:
% 72.89/11.18 | (5) e2 = e1
% 72.89/11.18 |
% 72.89/11.18 | REDUCE: (4), (5) imply:
% 72.89/11.18 | (6) $false
% 72.89/11.18 |
% 72.89/11.18 | CLOSE: (6) is inconsistent.
% 72.89/11.18 |
% 72.89/11.18 End of proof
% 72.89/11.18
% 72.89/11.18 Sub-proof #10 shows that the following formulas are inconsistent:
% 72.89/11.18 ----------------------------------------------------------------
% 72.89/11.18 (1) all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 & all_56_3 = e0
% 72.89/11.18 (2) all_56_0 = all_4_1
% 72.89/11.18 (3) ~ (all_4_1 = e0)
% 72.89/11.18
% 72.89/11.18 Begin of proof
% 72.89/11.18 |
% 72.89/11.18 | ALPHA: (1) implies:
% 72.89/11.18 | (4) all_56_0 = e0
% 72.89/11.18 |
% 72.89/11.18 | COMBINE_EQS: (2), (4) imply:
% 72.89/11.18 | (5) all_4_1 = e0
% 72.89/11.18 |
% 72.89/11.18 | REDUCE: (3), (5) imply:
% 72.89/11.18 | (6) $false
% 72.89/11.18 |
% 72.89/11.18 | CLOSE: (6) is inconsistent.
% 72.89/11.18 |
% 72.89/11.18 End of proof
% 72.89/11.18
% 72.89/11.18 Sub-proof #11 shows that the following formulas are inconsistent:
% 72.89/11.18 ----------------------------------------------------------------
% 72.89/11.18 (1) ~ (all_10_0 = e3)
% 72.89/11.18 (2) ~ (all_4_0 = e2)
% 72.89/11.18 (3) ~ (all_42_0 = e2)
% 72.89/11.18 (4) all_64_2 = all_40_0
% 72.89/11.18 (5) ~ (all_42_0 = all_40_0)
% 72.89/11.18 (6) ~ (all_10_0 = all_4_0)
% 72.89/11.18 (7) all_64_14 = all_42_0
% 72.89/11.18 (8) ~ (all_34_0 = e1) | ~ (all_34_1 = e2)
% 72.89/11.18 (9) ~ (all_32_0 = e0) | ~ (all_32_1 = e2)
% 72.89/11.18 (10) ~ (all_28_0 = e2)
% 72.89/11.18 (11) all_34_1 = e2
% 72.89/11.18 (12) all_64_2 = e3 | all_64_2 = e2 | all_64_2 = e1 | all_64_2 = e0
% 72.89/11.18 (13) all_64_9 = all_10_0
% 72.89/11.18 (14) ~ (all_40_0 = e0)
% 72.89/11.18 (15) ~ (all_28_0 = all_4_0)
% 72.89/11.18 (16) all_64_8 = all_4_0
% 72.89/11.18 (17) all_64_8 = e3 | all_64_8 = e2 | all_64_8 = e1 | all_64_8 = e0
% 72.89/11.18 (18) ~ (all_40_0 = e3)
% 72.89/11.18 (19) ~ (all_10_0 = e2)
% 72.89/11.18 (20) ~ (all_40_0 = e2)
% 72.89/11.18 (21) all_64_12 = all_28_0
% 72.89/11.18 (22) all_64_12 = e3 | all_64_12 = e2 | all_64_12 = e1 | all_64_12 = e0
% 72.89/11.18 (23) all_32_1 = e2
% 72.89/11.18 (24) ~ (all_10_0 = e0)
% 72.89/11.18 (25) ~ (all_42_0 = e3)
% 72.89/11.18 (26) ~ (all_42_0 = all_28_0)
% 72.89/11.18 (27) all_64_14 = e3 | all_64_14 = e2 | all_64_14 = e1 | all_64_14 = e0
% 72.89/11.18 (28) all_64_9 = e3 | all_64_9 = e2 | all_64_9 = e1 | all_64_9 = e0
% 72.89/11.18 (29) all_32_0 = all_4_0
% 72.89/11.18 (30) all_34_0 = all_28_0
% 72.89/11.18
% 72.89/11.18 Begin of proof
% 72.89/11.18 |
% 72.89/11.18 | BETA: splitting (28) gives:
% 72.89/11.18 |
% 72.89/11.18 | Case 1:
% 72.89/11.18 | |
% 72.89/11.18 | | (31) all_64_9 = e3
% 72.89/11.18 | |
% 72.89/11.18 | | COMBINE_EQS: (13), (31) imply:
% 72.89/11.18 | | (32) all_10_0 = e3
% 72.89/11.18 | |
% 72.89/11.18 | | REDUCE: (1), (32) imply:
% 72.89/11.18 | | (33) $false
% 72.89/11.18 | |
% 72.89/11.18 | | CLOSE: (33) is inconsistent.
% 72.89/11.18 | |
% 72.89/11.18 | Case 2:
% 72.89/11.18 | |
% 72.89/11.18 | | (34) all_64_9 = e2 | all_64_9 = e1 | all_64_9 = e0
% 72.89/11.18 | |
% 72.89/11.18 | | BETA: splitting (34) gives:
% 72.89/11.18 | |
% 72.89/11.18 | | Case 1:
% 72.89/11.18 | | |
% 72.89/11.18 | | | (35) all_64_9 = e2
% 72.89/11.18 | | |
% 72.89/11.18 | | | COMBINE_EQS: (13), (35) imply:
% 72.89/11.18 | | | (36) all_10_0 = e2
% 72.89/11.18 | | |
% 72.89/11.18 | | | REDUCE: (19), (36) imply:
% 72.89/11.18 | | | (37) $false
% 72.89/11.18 | | |
% 72.89/11.18 | | | CLOSE: (37) is inconsistent.
% 72.89/11.18 | | |
% 72.89/11.18 | | Case 2:
% 72.89/11.18 | | |
% 72.89/11.18 | | | (38) all_64_9 = e1 | all_64_9 = e0
% 72.89/11.18 | | |
% 72.89/11.18 | | | BETA: splitting (38) gives:
% 72.89/11.18 | | |
% 72.89/11.18 | | | Case 1:
% 72.89/11.18 | | | |
% 72.89/11.18 | | | | (39) all_64_9 = e1
% 72.89/11.18 | | | |
% 72.89/11.18 | | | | COMBINE_EQS: (13), (39) imply:
% 72.89/11.18 | | | | (40) all_10_0 = e1
% 72.89/11.18 | | | |
% 72.89/11.18 | | | | REDUCE: (6), (40) imply:
% 72.89/11.18 | | | | (41) ~ (all_4_0 = e1)
% 72.89/11.18 | | | |
% 72.89/11.18 | | | | SIMP: (41) implies:
% 72.89/11.18 | | | | (42) ~ (all_4_0 = e1)
% 72.89/11.18 | | | |
% 72.89/11.18 | | | | BETA: splitting (8) gives:
% 72.89/11.18 | | | |
% 72.89/11.18 | | | | Case 1:
% 72.89/11.18 | | | | |
% 72.89/11.18 | | | | | (43) ~ (all_34_0 = e1)
% 72.89/11.18 | | | | |
% 72.89/11.18 | | | | | REDUCE: (30), (43) imply:
% 72.89/11.18 | | | | | (44) ~ (all_28_0 = e1)
% 72.89/11.18 | | | | |
% 72.89/11.18 | | | | | REF_CLOSE: (2), (3), (4), (5), (7), (9), (10), (12), (14), (15), (16),
% 72.89/11.18 | | | | | (17), (18), (20), (21), (22), (23), (25), (26), (27), (29),
% 72.89/11.18 | | | | | (42), (44) are inconsistent by sub-proof #12.
% 72.89/11.18 | | | | |
% 72.89/11.18 | | | | Case 2:
% 72.89/11.18 | | | | |
% 72.89/11.18 | | | | | (45) ~ (all_34_1 = e2)
% 72.89/11.18 | | | | |
% 72.89/11.18 | | | | | REDUCE: (11), (45) imply:
% 72.89/11.18 | | | | | (46) $false
% 72.89/11.18 | | | | |
% 72.89/11.18 | | | | | CLOSE: (46) is inconsistent.
% 72.89/11.18 | | | | |
% 72.89/11.18 | | | | End of split
% 72.89/11.18 | | | |
% 72.89/11.18 | | | Case 2:
% 72.89/11.18 | | | |
% 72.89/11.18 | | | | (47) all_64_9 = e0
% 72.89/11.18 | | | |
% 72.89/11.18 | | | | COMBINE_EQS: (13), (47) imply:
% 72.89/11.18 | | | | (48) all_10_0 = e0
% 72.89/11.18 | | | |
% 72.89/11.18 | | | | REDUCE: (24), (48) imply:
% 72.89/11.18 | | | | (49) $false
% 72.89/11.18 | | | |
% 72.89/11.18 | | | | CLOSE: (49) is inconsistent.
% 72.89/11.18 | | | |
% 72.89/11.18 | | | End of split
% 72.89/11.18 | | |
% 72.89/11.18 | | End of split
% 72.89/11.18 | |
% 72.89/11.18 | End of split
% 72.89/11.18 |
% 72.89/11.18 End of proof
% 72.89/11.18
% 72.89/11.18 Sub-proof #12 shows that the following formulas are inconsistent:
% 72.89/11.18 ----------------------------------------------------------------
% 72.89/11.18 (1) ~ (all_4_0 = e2)
% 72.89/11.18 (2) ~ (all_42_0 = e2)
% 72.89/11.18 (3) all_64_2 = all_40_0
% 72.89/11.18 (4) ~ (all_42_0 = all_40_0)
% 72.89/11.18 (5) all_64_14 = all_42_0
% 72.89/11.18 (6) ~ (all_32_0 = e0) | ~ (all_32_1 = e2)
% 72.89/11.18 (7) ~ (all_28_0 = e2)
% 72.89/11.18 (8) all_64_2 = e3 | all_64_2 = e2 | all_64_2 = e1 | all_64_2 = e0
% 72.89/11.18 (9) ~ (all_40_0 = e0)
% 72.89/11.18 (10) ~ (all_28_0 = all_4_0)
% 72.89/11.18 (11) all_64_8 = all_4_0
% 72.89/11.18 (12) all_64_8 = e3 | all_64_8 = e2 | all_64_8 = e1 | all_64_8 = e0
% 72.89/11.18 (13) ~ (all_40_0 = e3)
% 72.89/11.18 (14) ~ (all_40_0 = e2)
% 72.89/11.18 (15) all_64_12 = all_28_0
% 72.89/11.18 (16) all_64_12 = e3 | all_64_12 = e2 | all_64_12 = e1 | all_64_12 = e0
% 72.89/11.18 (17) ~ (all_28_0 = e1)
% 72.89/11.18 (18) all_32_1 = e2
% 72.89/11.18 (19) ~ (all_4_0 = e1)
% 72.89/11.18 (20) ~ (all_42_0 = e3)
% 72.89/11.18 (21) ~ (all_42_0 = all_28_0)
% 72.89/11.18 (22) all_64_14 = e3 | all_64_14 = e2 | all_64_14 = e1 | all_64_14 = e0
% 72.89/11.18 (23) all_32_0 = all_4_0
% 72.89/11.18
% 72.89/11.18 Begin of proof
% 72.89/11.18 |
% 72.89/11.18 | BETA: splitting (6) gives:
% 72.89/11.18 |
% 72.89/11.18 | Case 1:
% 72.89/11.18 | |
% 72.89/11.18 | | (24) ~ (all_32_0 = e0)
% 72.89/11.18 | |
% 72.89/11.18 | | REDUCE: (23), (24) imply:
% 72.89/11.18 | | (25) ~ (all_4_0 = e0)
% 72.89/11.18 | |
% 72.89/11.18 | | BETA: splitting (8) gives:
% 72.89/11.18 | |
% 72.89/11.18 | | Case 1:
% 72.89/11.18 | | |
% 72.89/11.18 | | | (26) all_64_2 = e3
% 72.89/11.18 | | |
% 72.89/11.18 | | | COMBINE_EQS: (3), (26) imply:
% 72.89/11.18 | | | (27) all_40_0 = e3
% 72.89/11.18 | | |
% 72.89/11.18 | | | REDUCE: (13), (27) imply:
% 72.89/11.18 | | | (28) $false
% 72.89/11.18 | | |
% 72.89/11.18 | | | CLOSE: (28) is inconsistent.
% 72.89/11.18 | | |
% 72.89/11.18 | | Case 2:
% 72.89/11.18 | | |
% 72.89/11.18 | | | (29) all_64_2 = e2 | all_64_2 = e1 | all_64_2 = e0
% 72.89/11.18 | | |
% 72.89/11.18 | | | REF_CLOSE: (1), (2), (3), (4), (5), (7), (9), (10), (11), (12), (14),
% 72.89/11.18 | | | (15), (16), (17), (19), (20), (21), (22), (25), (29) are
% 72.89/11.18 | | | inconsistent by sub-proof #13.
% 72.89/11.18 | | |
% 72.89/11.18 | | End of split
% 72.89/11.18 | |
% 72.89/11.18 | Case 2:
% 72.89/11.18 | |
% 72.89/11.18 | | (30) ~ (all_32_1 = e2)
% 72.89/11.18 | |
% 72.89/11.18 | | REDUCE: (18), (30) imply:
% 72.89/11.18 | | (31) $false
% 72.89/11.18 | |
% 72.89/11.18 | | CLOSE: (31) is inconsistent.
% 72.89/11.18 | |
% 72.89/11.18 | End of split
% 72.89/11.18 |
% 72.89/11.18 End of proof
% 72.89/11.18
% 72.89/11.18 Sub-proof #13 shows that the following formulas are inconsistent:
% 72.89/11.18 ----------------------------------------------------------------
% 72.89/11.18 (1) ~ (all_4_0 = e2)
% 72.89/11.18 (2) ~ (all_42_0 = e2)
% 72.89/11.18 (3) all_64_2 = all_40_0
% 72.89/11.18 (4) ~ (all_42_0 = all_40_0)
% 72.89/11.18 (5) all_64_14 = all_42_0
% 72.89/11.18 (6) ~ (all_28_0 = e2)
% 72.89/11.18 (7) ~ (all_40_0 = e0)
% 72.89/11.18 (8) ~ (all_28_0 = all_4_0)
% 72.89/11.18 (9) all_64_8 = all_4_0
% 72.89/11.18 (10) all_64_8 = e3 | all_64_8 = e2 | all_64_8 = e1 | all_64_8 = e0
% 72.89/11.18 (11) ~ (all_40_0 = e2)
% 72.89/11.18 (12) all_64_12 = all_28_0
% 72.89/11.18 (13) ~ (all_4_0 = e0)
% 72.89/11.18 (14) all_64_12 = e3 | all_64_12 = e2 | all_64_12 = e1 | all_64_12 = e0
% 72.89/11.18 (15) ~ (all_28_0 = e1)
% 72.89/11.18 (16) ~ (all_4_0 = e1)
% 72.89/11.18 (17) ~ (all_42_0 = e3)
% 72.89/11.18 (18) all_64_2 = e2 | all_64_2 = e1 | all_64_2 = e0
% 72.89/11.18 (19) ~ (all_42_0 = all_28_0)
% 72.89/11.18 (20) all_64_14 = e3 | all_64_14 = e2 | all_64_14 = e1 | all_64_14 = e0
% 72.89/11.18
% 72.89/11.18 Begin of proof
% 72.89/11.19 |
% 72.89/11.19 | BETA: splitting (10) gives:
% 72.89/11.19 |
% 72.89/11.19 | Case 1:
% 72.89/11.19 | |
% 72.89/11.19 | | (21) all_64_8 = e3
% 72.89/11.19 | |
% 72.89/11.19 | | COMBINE_EQS: (9), (21) imply:
% 72.89/11.19 | | (22) all_4_0 = e3
% 72.89/11.19 | |
% 72.89/11.19 | | REDUCE: (8), (22) imply:
% 72.89/11.19 | | (23) ~ (all_28_0 = e3)
% 72.89/11.19 | |
% 72.89/11.19 | | BETA: splitting (18) gives:
% 72.89/11.19 | |
% 72.89/11.19 | | Case 1:
% 72.89/11.19 | | |
% 72.89/11.19 | | | (24) all_64_2 = e2
% 72.89/11.19 | | |
% 72.89/11.19 | | | COMBINE_EQS: (3), (24) imply:
% 72.89/11.19 | | | (25) all_40_0 = e2
% 72.89/11.19 | | |
% 72.89/11.19 | | | REDUCE: (11), (25) imply:
% 72.89/11.19 | | | (26) $false
% 72.89/11.19 | | |
% 72.89/11.19 | | | CLOSE: (26) is inconsistent.
% 72.89/11.19 | | |
% 72.89/11.19 | | Case 2:
% 72.89/11.19 | | |
% 72.89/11.19 | | | (27) all_64_2 = e1 | all_64_2 = e0
% 72.89/11.19 | | |
% 72.89/11.19 | | | BETA: splitting (27) gives:
% 72.89/11.19 | | |
% 72.89/11.19 | | | Case 1:
% 72.89/11.19 | | | |
% 72.89/11.19 | | | | (28) all_64_2 = e1
% 72.89/11.19 | | | |
% 72.89/11.19 | | | | COMBINE_EQS: (3), (28) imply:
% 72.89/11.19 | | | | (29) all_40_0 = e1
% 72.89/11.19 | | | |
% 72.89/11.19 | | | | REDUCE: (4), (29) imply:
% 72.89/11.19 | | | | (30) ~ (all_42_0 = e1)
% 72.89/11.19 | | | |
% 72.89/11.19 | | | | REF_CLOSE: (2), (5), (6), (12), (14), (15), (17), (19), (20), (23), (30)
% 72.89/11.19 | | | | are inconsistent by sub-proof #30.
% 72.89/11.19 | | | |
% 72.89/11.19 | | | Case 2:
% 72.89/11.19 | | | |
% 72.89/11.19 | | | | (31) all_64_2 = e0
% 72.89/11.19 | | | |
% 72.89/11.19 | | | | COMBINE_EQS: (3), (31) imply:
% 72.89/11.19 | | | | (32) all_40_0 = e0
% 72.89/11.19 | | | |
% 72.89/11.19 | | | | REDUCE: (7), (32) imply:
% 72.89/11.19 | | | | (33) $false
% 72.89/11.19 | | | |
% 72.89/11.19 | | | | CLOSE: (33) is inconsistent.
% 72.89/11.19 | | | |
% 72.89/11.19 | | | End of split
% 72.89/11.19 | | |
% 72.89/11.19 | | End of split
% 72.89/11.19 | |
% 72.89/11.19 | Case 2:
% 72.89/11.19 | |
% 72.89/11.19 | | (34) all_64_8 = e2 | all_64_8 = e1 | all_64_8 = e0
% 72.89/11.19 | |
% 72.89/11.19 | | REF_CLOSE: (1), (9), (13), (16), (34) are inconsistent by sub-proof #82.
% 72.89/11.19 | |
% 72.89/11.19 | End of split
% 72.89/11.19 |
% 72.89/11.19 End of proof
% 72.89/11.19
% 72.89/11.19 Sub-proof #14 shows that the following formulas are inconsistent:
% 72.89/11.19 ----------------------------------------------------------------
% 72.89/11.19 (1) all_64_4 = e2 | all_64_4 = e1 | all_64_4 = e0
% 72.89/11.19 (2) ~ (all_36_0 = e1)
% 72.89/11.19 (3) ~ (all_22_0 = all_6_0)
% 72.89/11.19 (4) ~ (all_22_0 = e3)
% 72.89/11.19 (5) all_64_7 = e3 | all_64_7 = e2 | all_64_7 = e1 | all_64_7 = e0
% 72.89/11.19 (6) ~ (all_36_0 = e2)
% 72.89/11.19 (7) ~ (all_6_0 = e0)
% 72.89/11.19 (8) ~ (all_22_0 = e1)
% 72.89/11.19 (9) ~ (all_6_0 = e1)
% 72.89/11.19 (10) all_64_4 = all_6_0
% 72.89/11.19 (11) all_64_3 = e2 | all_64_3 = e1 | all_64_3 = e0
% 72.89/11.19 (12) all_64_3 = all_36_0
% 72.89/11.19 (13) ~ (all_36_0 = all_22_0)
% 72.89/11.19 (14) all_64_7 = all_22_0
% 72.89/11.19
% 72.89/11.19 Begin of proof
% 72.89/11.19 |
% 72.89/11.19 | BETA: splitting (11) gives:
% 72.89/11.19 |
% 72.89/11.19 | Case 1:
% 72.89/11.19 | |
% 72.89/11.19 | | (15) all_64_3 = e2
% 72.89/11.19 | |
% 72.89/11.19 | | COMBINE_EQS: (12), (15) imply:
% 72.89/11.19 | | (16) all_36_0 = e2
% 72.89/11.19 | |
% 72.89/11.19 | | REDUCE: (6), (16) imply:
% 72.89/11.19 | | (17) $false
% 72.89/11.19 | |
% 72.89/11.19 | | CLOSE: (17) is inconsistent.
% 72.89/11.19 | |
% 72.89/11.19 | Case 2:
% 72.89/11.19 | |
% 72.89/11.19 | | (18) all_64_3 = e1 | all_64_3 = e0
% 72.89/11.19 | |
% 72.89/11.19 | | BETA: splitting (1) gives:
% 72.89/11.19 | |
% 72.89/11.19 | | Case 1:
% 72.89/11.19 | | |
% 72.89/11.19 | | | (19) all_64_4 = e2
% 72.89/11.19 | | |
% 72.89/11.19 | | | COMBINE_EQS: (10), (19) imply:
% 72.89/11.19 | | | (20) all_6_0 = e2
% 72.89/11.19 | | |
% 72.89/11.19 | | | REDUCE: (3), (20) imply:
% 72.89/11.19 | | | (21) ~ (all_22_0 = e2)
% 72.89/11.19 | | |
% 72.89/11.19 | | | BETA: splitting (18) gives:
% 72.89/11.19 | | |
% 72.89/11.19 | | | Case 1:
% 72.89/11.19 | | | |
% 72.89/11.19 | | | | (22) all_64_3 = e1
% 72.89/11.19 | | | |
% 72.89/11.19 | | | | COMBINE_EQS: (12), (22) imply:
% 72.89/11.19 | | | | (23) all_36_0 = e1
% 72.89/11.19 | | | |
% 72.89/11.19 | | | | REDUCE: (2), (23) imply:
% 72.89/11.19 | | | | (24) $false
% 72.89/11.19 | | | |
% 72.89/11.19 | | | | CLOSE: (24) is inconsistent.
% 72.89/11.19 | | | |
% 72.89/11.19 | | | Case 2:
% 72.89/11.19 | | | |
% 72.89/11.19 | | | | (25) all_64_3 = e0
% 72.89/11.19 | | | |
% 72.89/11.19 | | | | COMBINE_EQS: (12), (25) imply:
% 72.89/11.19 | | | | (26) all_36_0 = e0
% 72.89/11.19 | | | |
% 72.89/11.19 | | | | REDUCE: (13), (26) imply:
% 72.89/11.19 | | | | (27) ~ (all_22_0 = e0)
% 72.89/11.19 | | | |
% 72.89/11.19 | | | | SIMP: (27) implies:
% 72.89/11.19 | | | | (28) ~ (all_22_0 = e0)
% 72.89/11.19 | | | |
% 72.89/11.19 | | | | REF_CLOSE: (4), (5), (8), (14), (21), (28) are inconsistent by sub-proof
% 72.89/11.19 | | | | #15.
% 72.89/11.19 | | | |
% 72.89/11.19 | | | End of split
% 72.89/11.19 | | |
% 72.89/11.19 | | Case 2:
% 72.89/11.19 | | |
% 72.89/11.19 | | | (29) all_64_4 = e1 | all_64_4 = e0
% 72.89/11.19 | | |
% 72.89/11.19 | | | REF_CLOSE: (7), (9), (10), (29) are inconsistent by sub-proof #98.
% 72.89/11.19 | | |
% 72.89/11.19 | | End of split
% 72.89/11.19 | |
% 72.89/11.19 | End of split
% 72.89/11.19 |
% 72.89/11.19 End of proof
% 72.89/11.19
% 72.89/11.19 Sub-proof #15 shows that the following formulas are inconsistent:
% 72.89/11.19 ----------------------------------------------------------------
% 72.89/11.19 (1) ~ (all_22_0 = e3)
% 72.89/11.19 (2) all_64_7 = e3 | all_64_7 = e2 | all_64_7 = e1 | all_64_7 = e0
% 72.89/11.19 (3) ~ (all_22_0 = e0)
% 72.89/11.19 (4) ~ (all_22_0 = e1)
% 72.89/11.19 (5) ~ (all_22_0 = e2)
% 72.89/11.19 (6) all_64_7 = all_22_0
% 72.89/11.19
% 72.89/11.19 Begin of proof
% 72.89/11.19 |
% 72.89/11.19 | BETA: splitting (2) gives:
% 72.89/11.19 |
% 72.89/11.19 | Case 1:
% 72.89/11.19 | |
% 72.89/11.19 | | (7) all_64_7 = e3
% 72.89/11.19 | |
% 72.89/11.19 | | COMBINE_EQS: (6), (7) imply:
% 72.89/11.19 | | (8) all_22_0 = e3
% 72.89/11.19 | |
% 72.89/11.19 | | REDUCE: (1), (8) imply:
% 72.89/11.19 | | (9) $false
% 72.89/11.19 | |
% 72.89/11.19 | | CLOSE: (9) is inconsistent.
% 72.89/11.19 | |
% 72.89/11.19 | Case 2:
% 72.89/11.19 | |
% 72.89/11.19 | | (10) all_64_7 = e2 | all_64_7 = e1 | all_64_7 = e0
% 72.89/11.19 | |
% 72.89/11.19 | | REF_CLOSE: (3), (4), (5), (6), (10) are inconsistent by sub-proof #34.
% 72.89/11.19 | |
% 72.89/11.19 | End of split
% 72.89/11.19 |
% 72.89/11.19 End of proof
% 72.89/11.19
% 72.89/11.19 Sub-proof #16 shows that the following formulas are inconsistent:
% 72.89/11.19 ----------------------------------------------------------------
% 72.89/11.19 (1) all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 & all_56_3 = e0
% 72.89/11.19 (2) all_56_2 = all_12_1
% 72.89/11.19 (3) ~ (all_12_1 = e0)
% 72.89/11.19
% 72.89/11.19 Begin of proof
% 72.89/11.19 |
% 72.89/11.19 | ALPHA: (1) implies:
% 72.89/11.19 | (4) all_56_2 = e0
% 72.89/11.19 |
% 72.89/11.19 | COMBINE_EQS: (2), (4) imply:
% 72.89/11.19 | (5) all_12_1 = e0
% 72.89/11.19 |
% 72.89/11.19 | SIMP: (5) implies:
% 72.89/11.19 | (6) all_12_1 = e0
% 72.89/11.19 |
% 72.89/11.19 | REDUCE: (3), (6) imply:
% 72.89/11.19 | (7) $false
% 72.89/11.19 |
% 72.89/11.19 | CLOSE: (7) is inconsistent.
% 72.89/11.19 |
% 72.89/11.19 End of proof
% 72.89/11.19
% 72.89/11.19 Sub-proof #17 shows that the following formulas are inconsistent:
% 72.89/11.19 ----------------------------------------------------------------
% 72.89/11.19 (1) all_64_13 = all_20_0
% 72.89/11.19 (2) all_64_13 = e3
% 72.89/11.19 (3) ~ (all_20_0 = e3)
% 72.89/11.19
% 72.89/11.19 Begin of proof
% 72.89/11.19 |
% 72.89/11.19 | COMBINE_EQS: (1), (2) imply:
% 72.89/11.19 | (4) all_20_0 = e3
% 72.89/11.19 |
% 72.89/11.19 | SIMP: (4) implies:
% 72.89/11.19 | (5) all_20_0 = e3
% 72.89/11.19 |
% 72.89/11.19 | REDUCE: (3), (5) imply:
% 72.89/11.19 | (6) $false
% 72.89/11.19 |
% 72.89/11.19 | CLOSE: (6) is inconsistent.
% 72.89/11.19 |
% 72.89/11.19 End of proof
% 72.89/11.19
% 72.89/11.19 Sub-proof #18 shows that the following formulas are inconsistent:
% 72.89/11.19 ----------------------------------------------------------------
% 72.89/11.19 (1) ~ (all_4_0 = e2)
% 72.89/11.19 (2) all_64_2 = all_40_0
% 72.89/11.19 (3) ~ (all_52_1 = all_52_2)
% 72.89/11.19 (4) unit = e2 | unit = e1 | unit = e0
% 72.89/11.19 (5) ~ (all_10_0 = all_4_0)
% 72.89/11.19 (6) ~ (all_10_1 = all_6_0)
% 72.89/11.19 (7) (all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 & all_56_3 = e3) |
% 72.89/11.19 (all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 & all_56_3 = e2) |
% 72.89/11.19 (all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 & all_56_3 = e1) |
% 72.89/11.19 (all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 & all_56_3 = e0)
% 72.89/11.19 (8) ~ (all_12_0 = all_10_1)
% 72.89/11.19 (9) ~ (all_52_0 = all_52_1)
% 72.89/11.19 (10) ~ (all_28_0 = e2)
% 72.89/11.19 (11) op(e3, all_52_0) = unit
% 72.89/11.19 (12) all_60_3 = all_52_3
% 72.89/11.19 (13) all_64_2 = e3 | all_64_2 = e2 | all_64_2 = e1 | all_64_2 = e0
% 72.89/11.19 (14) all_64_9 = all_10_0
% 72.89/11.19 (15) ~ (all_22_0 = all_12_0)
% 72.89/11.19 (16) ~ (all_28_0 = all_4_0)
% 72.89/11.19 (17) all_64_4 = e3 | all_64_4 = e2 | all_64_4 = e1 | all_64_4 = e0
% 72.89/11.19 (18) all_64_8 = all_4_0
% 72.89/11.19 (19) all_60_3 = e3 | all_60_3 = e2 | all_60_3 = e1 | all_60_3 = e0
% 72.89/11.19 (20) all_64_8 = e3 | all_64_8 = e2 | all_64_8 = e1 | all_64_8 = e0
% 72.89/11.19 (21) ~ (all_40_0 = all_12_0)
% 72.89/11.19 (22) all_58_3 = all_52_3
% 72.89/11.19 (23) ~ (all_58_3 = e2) | all_58_1 = e0
% 72.89/11.19 (24) ~ (all_58_1 = e3) | all_58_0 = e2
% 72.89/11.19 (25) ~ (all_58_2 = e0) | all_58_3 = e1
% 72.89/11.19 (26) ~ (all_58_1 = e0) | all_58_3 = e2
% 72.89/11.19 (27) op(e1, e1) = all_12_1
% 72.89/11.19 (28) ~ (all_22_0 = all_6_0)
% 72.89/11.19 (29) ~ (all_4_0 = all_4_1)
% 72.89/11.19 (30) ~ (all_28_0 = all_4_1)
% 72.89/11.19 (31) ~ (all_52_2 = all_52_3)
% 72.89/11.19 (32) op(e3, e3) = all_4_1
% 72.89/11.19 (33) ~ (all_12_0 = e0)
% 72.89/11.19 (34) all_60_2 = all_52_2
% 72.89/11.19 (35) ~ (all_10_0 = all_10_1)
% 72.89/11.19 (36) op(e1, e2) = all_10_0
% 72.89/11.19 (37) all_60_2 = e3 | all_60_2 = e2 | all_60_2 = e1 | all_60_2 = e0
% 72.89/11.19 (38) ~ (all_52_0 = all_52_3)
% 72.89/11.19 (39) all_64_12 = all_28_0
% 72.89/11.19 (40) ~ (unit = e3)
% 72.89/11.19 (41) ~ (all_28_0 = all_6_0)
% 72.89/11.19 (42) ~ (all_58_3 = e1) | all_58_2 = e0
% 72.89/11.19 (43) op(e0, e3) = all_28_0
% 72.89/11.19 (44) op(e3, e0) = all_36_0
% 72.89/11.19 (45) op(e3, e1) = all_40_0
% 72.89/11.19 (46) ~ (all_58_3 = e3) | all_58_0 = e0
% 72.89/11.19 (47) all_60_1 = e3 | all_60_1 = e2 | all_60_1 = e1 | all_60_1 = e0
% 72.89/11.19 (48) ~ (all_4_0 = e0)
% 72.89/11.19 (49) all_64_12 = e3 | all_64_12 = e2 | all_64_12 = e1 | all_64_12 = e0
% 72.89/11.19 (50) all_58_1 = all_52_1
% 72.89/11.19 (51) all_64_7 = e3 | all_64_7 = e2 | all_64_7 = e1 | all_64_7 = e0
% 72.89/11.19 (52) ~ (all_28_0 = e1)
% 72.89/11.19 (53) ~ (all_8_0 = all_4_0)
% 72.89/11.19 (54) ~ (all_22_0 = all_8_1)
% 72.89/11.19 (55) all_60_0 = e3 | all_60_0 = e2 | all_60_0 = e1 | all_60_0 = e0
% 72.89/11.19 (56) op(e2, all_52_1) = unit
% 72.89/11.19 (57) ~ (all_52_0 = all_52_2)
% 72.89/11.20 (58) ~ (all_6_0 = all_4_0)
% 72.89/11.20 (59) all_58_2 = all_52_2
% 72.89/11.20 (60) all_60_1 = all_52_1
% 72.89/11.20 (61) ~ (all_58_2 = e2) | all_58_1 = e1
% 72.89/11.20 (62) ~ (all_10_0 = e0)
% 72.89/11.20 (63) all_64_11 = all_8_0
% 72.89/11.20 (64) ~ (all_58_0 = e2) | all_58_1 = e3
% 72.89/11.20 (65) all_56_3 = all_8_1
% 72.89/11.20 (66) all_56_1 = all_10_1
% 72.89/11.20 (67) ~ (all_12_1 = all_4_0)
% 72.89/11.20 (68) all_64_11 = e3 | all_64_11 = e2 | all_64_11 = e1 | all_64_11 = e0
% 72.89/11.20 (69) op(e0, all_52_3) = unit
% 72.89/11.20 (70) ~ (all_28_0 = all_8_1)
% 72.89/11.20 (71) ~ (all_58_0 = e0) | all_58_3 = e3
% 72.89/11.20 (72) ~ (all_6_0 = e0)
% 72.89/11.20 (73) ~ (all_8_0 = e2)
% 72.89/11.20 (74) op(e2, e2) = all_10_1
% 72.89/11.20 (75) ~ (all_6_0 = all_4_1)
% 72.89/11.20 (76) ~ (all_22_0 = all_8_0)
% 72.89/11.20 (77) ~ (all_58_0 = e1) | all_58_2 = e3
% 72.89/11.20 (78) op(e1, e0) = all_8_0
% 72.89/11.20 (79) ~ (all_22_0 = e1)
% 72.89/11.20 (80) op(e0, e2) = all_20_0
% 72.89/11.20 (81) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 72.89/11.20 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 72.89/11.20 (82) op(e0, e0) = all_8_1
% 72.89/11.20 (83) all_56_2 = all_12_1
% 72.89/11.20 (84) ~ (all_6_0 = e1)
% 72.89/11.20 (85) all_64_6 = all_12_0
% 72.89/11.20 (86) all_64_4 = all_6_0
% 72.89/11.20 (87) all_60_0 = all_52_0
% 72.89/11.20 (88) all_64_9 = e3 | all_64_9 = e2 | all_64_9 = e1 | all_64_9 = e0
% 72.89/11.20 (89) all_58_0 = all_52_0
% 72.89/11.20 (90) op(e1, all_52_2) = unit
% 72.89/11.20 (91) all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 & all_56_3 = e3
% 72.89/11.20 (92) ~ (all_20_0 = all_8_1)
% 72.89/11.20 (93) ~ (all_52_1 = all_52_3)
% 72.89/11.20 (94) all_64_6 = e3 | all_64_6 = e2 | all_64_6 = e1 | all_64_6 = e0
% 72.89/11.20 (95) ~ (all_20_0 = e1)
% 72.89/11.20 (96) ~ (all_36_0 = all_22_0)
% 72.89/11.20 (97) op(e1, e3) = all_4_0
% 72.89/11.20 (98) all_64_7 = all_22_0
% 72.89/11.20 (99) op(e2, e3) = all_6_0
% 72.89/11.20 (100) all_56_0 = all_4_1
% 72.89/11.20 (101) ~ (all_8_0 = all_8_1)
% 72.89/11.20
% 72.89/11.20 Begin of proof
% 72.89/11.20 |
% 72.89/11.20 | ALPHA: (91) implies:
% 72.89/11.20 | (102) all_56_3 = e3
% 72.89/11.20 | (103) all_56_1 = e3
% 72.89/11.20 |
% 72.89/11.20 | COMBINE_EQS: (66), (103) imply:
% 72.89/11.20 | (104) all_10_1 = e3
% 72.89/11.20 |
% 72.89/11.20 | SIMP: (104) implies:
% 72.89/11.20 | (105) all_10_1 = e3
% 72.89/11.20 |
% 72.89/11.20 | COMBINE_EQS: (65), (102) imply:
% 72.89/11.20 | (106) all_8_1 = e3
% 72.89/11.20 |
% 72.89/11.20 | SIMP: (106) implies:
% 72.89/11.20 | (107) all_8_1 = e3
% 72.89/11.20 |
% 72.89/11.20 | REDUCE: (54), (107) imply:
% 72.89/11.20 | (108) ~ (all_22_0 = e3)
% 72.89/11.20 |
% 72.89/11.20 | REDUCE: (92), (107) imply:
% 72.89/11.20 | (109) ~ (all_20_0 = e3)
% 72.89/11.20 |
% 72.89/11.20 | REDUCE: (8), (105) imply:
% 72.89/11.20 | (110) ~ (all_12_0 = e3)
% 72.89/11.20 |
% 72.89/11.20 | REDUCE: (35), (105) imply:
% 72.89/11.20 | (111) ~ (all_10_0 = e3)
% 72.89/11.20 |
% 72.89/11.20 | REDUCE: (101), (107) imply:
% 72.89/11.20 | (112) ~ (all_8_0 = e3)
% 72.89/11.20 |
% 72.89/11.20 | REF_CLOSE: (1), (2), (3), (4), (5), (6), (7), (8), (9), (10), (11), (12),
% 72.89/11.20 | (13), (14), (15), (16), (17), (18), (19), (20), (21), (22), (23),
% 72.89/11.20 | (24), (25), (26), (27), (28), (29), (30), (31), (32), (33), (34),
% 72.89/11.20 | (35), (36), (37), (38), (39), (40), (41), (42), (43), (44), (45),
% 72.89/11.20 | (46), (47), (48), (49), (50), (51), (52), (53), (54), (55), (56),
% 72.89/11.20 | (57), (58), (59), (60), (61), (62), (63), (64), (65), (66), (67),
% 72.89/11.20 | (68), (69), (70), (71), (72), (73), (74), (75), (76), (77), (78),
% 72.89/11.20 | (79), (80), (81), (82), (83), (84), (85), (86), (87), (88), (89),
% 72.89/11.20 | (90), (92), (93), (94), (95), (96), (97), (98), (99), (100), (101),
% 72.89/11.20 | (108), (109), (110), (111), (112) are inconsistent by sub-proof
% 72.89/11.20 | #74.
% 72.89/11.20 |
% 72.89/11.20 End of proof
% 72.89/11.20
% 72.89/11.20 Sub-proof #19 shows that the following formulas are inconsistent:
% 72.89/11.20 ----------------------------------------------------------------
% 72.89/11.20 (1) ~ (all_36_0 = e1)
% 72.89/11.20 (2) ~ (all_36_0 = e0)
% 72.89/11.20 (3) ~ (all_36_0 = e2)
% 72.89/11.20 (4) all_64_3 = e2 | all_64_3 = e1 | all_64_3 = e0
% 72.89/11.20 (5) all_64_3 = all_36_0
% 72.89/11.20
% 72.89/11.20 Begin of proof
% 72.89/11.20 |
% 72.89/11.20 | BETA: splitting (4) gives:
% 72.89/11.20 |
% 72.89/11.20 | Case 1:
% 72.89/11.20 | |
% 72.89/11.20 | | (6) all_64_3 = e2
% 72.89/11.20 | |
% 72.89/11.20 | | COMBINE_EQS: (5), (6) imply:
% 72.89/11.20 | | (7) all_36_0 = e2
% 72.89/11.20 | |
% 72.89/11.20 | | REDUCE: (3), (7) imply:
% 72.89/11.20 | | (8) $false
% 72.89/11.20 | |
% 72.89/11.20 | | CLOSE: (8) is inconsistent.
% 72.89/11.20 | |
% 72.89/11.20 | Case 2:
% 72.89/11.20 | |
% 72.89/11.20 | | (9) all_64_3 = e1 | all_64_3 = e0
% 72.89/11.20 | |
% 72.89/11.20 | | REF_CLOSE: (1), (2), (5), (9) are inconsistent by sub-proof #20.
% 72.89/11.20 | |
% 72.89/11.20 | End of split
% 72.89/11.20 |
% 72.89/11.20 End of proof
% 72.89/11.20
% 72.89/11.20 Sub-proof #20 shows that the following formulas are inconsistent:
% 72.89/11.20 ----------------------------------------------------------------
% 72.89/11.20 (1) all_64_3 = e1 | all_64_3 = e0
% 72.89/11.20 (2) all_64_3 = all_36_0
% 72.89/11.20 (3) ~ (all_36_0 = e1)
% 72.89/11.20 (4) ~ (all_36_0 = e0)
% 72.89/11.20
% 72.89/11.20 Begin of proof
% 72.89/11.20 |
% 72.89/11.20 | BETA: splitting (1) gives:
% 72.89/11.20 |
% 72.89/11.20 | Case 1:
% 72.89/11.20 | |
% 72.89/11.20 | | (5) all_64_3 = e1
% 72.89/11.20 | |
% 72.89/11.20 | | COMBINE_EQS: (2), (5) imply:
% 72.89/11.20 | | (6) all_36_0 = e1
% 72.89/11.20 | |
% 72.89/11.20 | | REDUCE: (3), (6) imply:
% 72.89/11.20 | | (7) $false
% 72.89/11.20 | |
% 72.89/11.20 | | CLOSE: (7) is inconsistent.
% 72.89/11.20 | |
% 72.89/11.20 | Case 2:
% 72.89/11.20 | |
% 72.89/11.20 | | (8) all_64_3 = e0
% 72.89/11.20 | |
% 72.89/11.20 | | COMBINE_EQS: (2), (8) imply:
% 72.89/11.20 | | (9) all_36_0 = e0
% 72.89/11.20 | |
% 72.89/11.20 | | REDUCE: (4), (9) imply:
% 72.89/11.20 | | (10) $false
% 72.89/11.20 | |
% 72.89/11.20 | | CLOSE: (10) is inconsistent.
% 72.89/11.20 | |
% 72.89/11.20 | End of split
% 72.89/11.20 |
% 72.89/11.20 End of proof
% 72.89/11.20
% 72.89/11.20 Sub-proof #21 shows that the following formulas are inconsistent:
% 72.89/11.20 ----------------------------------------------------------------
% 72.89/11.20 (1) all_64_7 = e2 | all_64_7 = e1 | all_64_7 = e0
% 72.89/11.20 (2) ~ (all_20_0 = e2)
% 72.89/11.20 (3) ~ (all_22_0 = e0)
% 72.89/11.20 (4) all_64_7 = all_20_0
% 72.89/11.20 (5) ~ (all_22_0 = e1)
% 72.89/11.20 (6) all_64_7 = all_22_0
% 72.89/11.20
% 72.89/11.20 Begin of proof
% 72.89/11.20 |
% 72.89/11.20 | BETA: splitting (1) gives:
% 72.89/11.20 |
% 72.89/11.20 | Case 1:
% 72.89/11.20 | |
% 72.89/11.20 | | (7) all_64_7 = e2
% 72.89/11.20 | |
% 72.89/11.20 | | COMBINE_EQS: (4), (7) imply:
% 72.89/11.20 | | (8) all_20_0 = e2
% 72.89/11.20 | |
% 72.89/11.20 | | SIMP: (8) implies:
% 72.89/11.20 | | (9) all_20_0 = e2
% 72.89/11.20 | |
% 72.89/11.20 | | REDUCE: (2), (9) imply:
% 72.89/11.20 | | (10) $false
% 72.89/11.20 | |
% 72.89/11.20 | | CLOSE: (10) is inconsistent.
% 72.89/11.20 | |
% 72.89/11.20 | Case 2:
% 72.89/11.20 | |
% 72.89/11.20 | | (11) all_64_7 = e1 | all_64_7 = e0
% 72.89/11.20 | |
% 72.89/11.20 | | REF_CLOSE: (3), (5), (6), (11) are inconsistent by sub-proof #75.
% 72.89/11.20 | |
% 72.89/11.20 | End of split
% 72.89/11.20 |
% 72.89/11.20 End of proof
% 72.89/11.20
% 72.89/11.20 Sub-proof #22 shows that the following formulas are inconsistent:
% 72.89/11.20 ----------------------------------------------------------------
% 72.89/11.20 (1) ~ (all_10_0 = e3)
% 72.89/11.20 (2) ~ (all_4_0 = e2)
% 72.89/11.20 (3) all_24_1 = all_8_1
% 72.89/11.20 (4) ~ (all_10_0 = all_4_0)
% 72.89/11.20 (5) (all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 & all_56_3 = e3) |
% 72.89/11.20 (all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 & all_56_3 = e2) |
% 72.89/11.20 (all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 & all_56_3 = e1) |
% 72.89/11.20 (all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 & all_56_3 = e0)
% 72.89/11.20 (6) ~ (all_32_0 = e0) | ~ (all_32_1 = e2)
% 72.89/11.20 (7) all_38_1 = all_8_1
% 72.89/11.20 (8) all_64_9 = all_10_0
% 72.89/11.20 (9) all_64_4 = e3 | all_64_4 = e2 | all_64_4 = e1 | all_64_4 = e0
% 72.89/11.20 (10) all_64_8 = all_4_0
% 72.89/11.20 (11) all_64_8 = e3 | all_64_8 = e2 | all_64_8 = e1 | all_64_8 = e0
% 72.89/11.20 (12) ~ (all_22_0 = e1) | ~ (all_22_1 = e3)
% 72.89/11.20 (13) ~ (all_22_0 = all_6_0)
% 72.89/11.20 (14) ~ (all_4_0 = all_4_1)
% 72.89/11.20 (15) all_22_1 = all_8_1
% 72.89/11.20 (16) ~ (all_10_0 = all_10_1)
% 72.89/11.20 (17) all_64_7 = e3 | all_64_7 = e2 | all_64_7 = e1 | all_64_7 = e0
% 72.89/11.20 (18) ~ (all_8_0 = all_4_0)
% 72.89/11.20 (19) all_32_1 = all_4_1
% 72.89/11.20 (20) ~ (all_22_0 = all_8_1)
% 72.89/11.20 (21) ~ (all_6_0 = all_4_0)
% 72.89/11.20 (22) ~ (all_10_0 = e0)
% 72.89/11.20 (23) all_64_11 = all_8_0
% 72.89/11.20 (24) ~ (all_8_0 = e3)
% 72.89/11.20 (25) all_56_3 = all_8_1
% 72.89/11.20 (26) all_56_1 = all_10_1
% 72.89/11.20 (27) ~ (all_22_0 = e0)
% 72.89/11.20 (28) all_64_11 = e3 | all_64_11 = e2 | all_64_11 = e1 | all_64_11 = e0
% 72.89/11.20 (29) ~ (all_38_0 = e3) | ~ (all_38_1 = e1)
% 72.89/11.20 (30) ~ (all_6_0 = e0)
% 72.89/11.20 (31) ~ (all_12_1 = e3)
% 72.89/11.20 (32) ~ (all_6_0 = all_4_1)
% 72.89/11.20 (33) ~ (all_10_0 = all_8_0)
% 72.89/11.20 (34) ~ (all_24_0 = e2) | ~ (all_24_1 = e3)
% 72.89/11.20 (35) all_56_2 = all_12_1
% 72.89/11.20 (36) all_38_0 = all_22_0
% 72.89/11.20 (37) ~ (all_6_0 = e1)
% 72.89/11.20 (38) all_64_4 = all_6_0
% 72.89/11.20 (39) all_64_9 = e3 | all_64_9 = e2 | all_64_9 = e1 | all_64_9 = e0
% 72.89/11.20 (40) all_32_0 = all_4_0
% 72.89/11.20 (41) all_24_0 = all_8_0
% 72.89/11.20 (42) all_64_7 = all_22_0
% 72.89/11.20 (43) ~ (all_10_1 = e0)
% 72.89/11.20 (44) all_56_0 = all_4_1
% 72.89/11.20 (45) ~ (all_8_0 = all_8_1)
% 72.89/11.20
% 72.89/11.20 Begin of proof
% 72.89/11.20 |
% 72.89/11.20 | BETA: splitting (12) gives:
% 72.89/11.20 |
% 72.89/11.20 | Case 1:
% 72.89/11.20 | |
% 72.89/11.20 | | (46) ~ (all_22_0 = e1)
% 72.89/11.20 | |
% 72.89/11.20 | | BETA: splitting (34) gives:
% 72.89/11.20 | |
% 72.89/11.20 | | Case 1:
% 72.89/11.20 | | |
% 72.89/11.20 | | | (47) ~ (all_24_0 = e2)
% 72.89/11.20 | | |
% 72.89/11.20 | | | REDUCE: (41), (47) imply:
% 72.89/11.20 | | | (48) ~ (all_8_0 = e2)
% 72.89/11.20 | | |
% 72.89/11.20 | | | BETA: splitting (6) gives:
% 72.89/11.20 | | |
% 72.89/11.20 | | | Case 1:
% 72.89/11.20 | | | |
% 72.89/11.21 | | | | (49) ~ (all_32_0 = e0)
% 72.89/11.21 | | | |
% 72.89/11.21 | | | | REDUCE: (40), (49) imply:
% 72.89/11.21 | | | | (50) ~ (all_4_0 = e0)
% 72.89/11.21 | | | |
% 72.89/11.21 | | | | BETA: splitting (29) gives:
% 72.89/11.21 | | | |
% 72.89/11.21 | | | | Case 1:
% 72.89/11.21 | | | | |
% 72.89/11.21 | | | | | (51) ~ (all_38_0 = e3)
% 72.89/11.21 | | | | |
% 72.89/11.21 | | | | | REDUCE: (36), (51) imply:
% 72.89/11.21 | | | | | (52) ~ (all_22_0 = e3)
% 72.89/11.21 | | | | |
% 72.89/11.21 | | | | | BETA: splitting (17) gives:
% 72.89/11.21 | | | | |
% 72.89/11.21 | | | | | Case 1:
% 72.89/11.21 | | | | | |
% 72.89/11.21 | | | | | | (53) all_64_7 = e3
% 72.89/11.21 | | | | | |
% 72.89/11.21 | | | | | | REF_CLOSE: (42), (52), (53) are inconsistent by sub-proof #94.
% 72.89/11.21 | | | | | |
% 72.89/11.21 | | | | | Case 2:
% 72.89/11.21 | | | | | |
% 72.89/11.21 | | | | | | (54) all_64_7 = e2 | all_64_7 = e1 | all_64_7 = e0
% 72.89/11.21 | | | | | |
% 72.89/11.21 | | | | | | BETA: splitting (54) gives:
% 72.89/11.21 | | | | | |
% 72.89/11.21 | | | | | | Case 1:
% 72.89/11.21 | | | | | | |
% 72.89/11.21 | | | | | | | (55) all_64_7 = e2
% 72.89/11.21 | | | | | | |
% 72.89/11.21 | | | | | | | COMBINE_EQS: (42), (55) imply:
% 72.89/11.21 | | | | | | | (56) all_22_0 = e2
% 72.89/11.21 | | | | | | |
% 72.89/11.21 | | | | | | | SIMP: (56) implies:
% 72.89/11.21 | | | | | | | (57) all_22_0 = e2
% 72.89/11.21 | | | | | | |
% 72.89/11.21 | | | | | | | REDUCE: (20), (57) imply:
% 72.89/11.21 | | | | | | | (58) ~ (all_8_1 = e2)
% 72.89/11.21 | | | | | | |
% 72.89/11.21 | | | | | | | SIMP: (58) implies:
% 72.89/11.21 | | | | | | | (59) ~ (all_8_1 = e2)
% 72.89/11.21 | | | | | | |
% 72.89/11.21 | | | | | | | REDUCE: (13), (57) imply:
% 72.89/11.21 | | | | | | | (60) ~ (all_6_0 = e2)
% 72.89/11.21 | | | | | | |
% 72.89/11.21 | | | | | | | SIMP: (60) implies:
% 72.89/11.21 | | | | | | | (61) ~ (all_6_0 = e2)
% 72.89/11.21 | | | | | | |
% 72.89/11.21 | | | | | | | BETA: splitting (5) gives:
% 72.89/11.21 | | | | | | |
% 72.89/11.21 | | | | | | | Case 1:
% 72.89/11.21 | | | | | | | |
% 72.89/11.21 | | | | | | | | (62) (all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 &
% 72.89/11.21 | | | | | | | | all_56_3 = e3) | (all_56_0 = e2 & all_56_1 = e2 &
% 72.89/11.21 | | | | | | | | all_56_2 = e2 & all_56_3 = e2)
% 72.89/11.21 | | | | | | | |
% 72.89/11.21 | | | | | | | | BETA: splitting (62) gives:
% 72.89/11.21 | | | | | | | |
% 72.89/11.21 | | | | | | | | Case 1:
% 72.89/11.21 | | | | | | | | |
% 72.89/11.21 | | | | | | | | | (63) all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 &
% 72.89/11.21 | | | | | | | | | all_56_3 = e3
% 72.89/11.21 | | | | | | | | |
% 72.89/11.21 | | | | | | | | | REF_CLOSE: (31), (35), (63) are inconsistent by sub-proof #26.
% 72.89/11.21 | | | | | | | | |
% 72.89/11.21 | | | | | | | | Case 2:
% 72.89/11.21 | | | | | | | | |
% 72.89/11.21 | | | | | | | | | (64) all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 &
% 72.89/11.21 | | | | | | | | | all_56_3 = e2
% 72.89/11.21 | | | | | | | | |
% 72.89/11.21 | | | | | | | | | REF_CLOSE: (25), (59), (64) are inconsistent by sub-proof #28.
% 72.89/11.21 | | | | | | | | |
% 72.89/11.21 | | | | | | | | End of split
% 72.89/11.21 | | | | | | | |
% 72.89/11.21 | | | | | | | Case 2:
% 72.89/11.21 | | | | | | | |
% 72.89/11.21 | | | | | | | | (65) (all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 &
% 72.89/11.21 | | | | | | | | all_56_3 = e1) | (all_56_0 = e0 & all_56_1 = e0 &
% 72.89/11.21 | | | | | | | | all_56_2 = e0 & all_56_3 = e0)
% 72.89/11.21 | | | | | | | |
% 72.89/11.21 | | | | | | | | BETA: splitting (65) gives:
% 72.89/11.21 | | | | | | | |
% 72.89/11.21 | | | | | | | | Case 1:
% 72.89/11.21 | | | | | | | | |
% 72.89/11.21 | | | | | | | | | (66) all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 &
% 72.89/11.21 | | | | | | | | | all_56_3 = e1
% 72.89/11.21 | | | | | | | | |
% 72.89/11.21 | | | | | | | | | ALPHA: (66) implies:
% 72.89/11.21 | | | | | | | | | (67) all_56_0 = e1
% 72.89/11.21 | | | | | | | | |
% 72.89/11.21 | | | | | | | | | COMBINE_EQS: (44), (67) imply:
% 72.89/11.21 | | | | | | | | | (68) all_4_1 = e1
% 72.89/11.21 | | | | | | | | |
% 72.89/11.21 | | | | | | | | | SIMP: (68) implies:
% 72.89/11.21 | | | | | | | | | (69) all_4_1 = e1
% 72.89/11.21 | | | | | | | | |
% 72.89/11.21 | | | | | | | | | REDUCE: (14), (69) imply:
% 72.89/11.21 | | | | | | | | | (70) ~ (all_4_0 = e1)
% 72.89/11.21 | | | | | | | | |
% 72.89/11.21 | | | | | | | | | REF_CLOSE: (2), (9), (10), (11), (21), (30), (37), (38), (50),
% 72.89/11.21 | | | | | | | | | (61), (70) are inconsistent by sub-proof #27.
% 72.89/11.21 | | | | | | | | |
% 72.89/11.21 | | | | | | | | Case 2:
% 72.89/11.21 | | | | | | | | |
% 72.89/11.21 | | | | | | | | | (71) all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 &
% 72.89/11.21 | | | | | | | | | all_56_3 = e0
% 72.89/11.21 | | | | | | | | |
% 72.89/11.21 | | | | | | | | | REF_CLOSE: (26), (43), (71) are inconsistent by sub-proof #29.
% 72.89/11.21 | | | | | | | | |
% 72.89/11.21 | | | | | | | | End of split
% 72.89/11.21 | | | | | | | |
% 72.89/11.21 | | | | | | | End of split
% 72.89/11.21 | | | | | | |
% 72.89/11.21 | | | | | | Case 2:
% 72.89/11.21 | | | | | | |
% 72.89/11.21 | | | | | | | (72) all_64_7 = e1 | all_64_7 = e0
% 72.89/11.21 | | | | | | |
% 72.89/11.21 | | | | | | | REF_CLOSE: (27), (42), (46), (72) are inconsistent by sub-proof
% 72.89/11.21 | | | | | | | #75.
% 72.89/11.21 | | | | | | |
% 72.89/11.21 | | | | | | End of split
% 72.89/11.21 | | | | | |
% 72.89/11.21 | | | | | End of split
% 72.89/11.21 | | | | |
% 72.89/11.21 | | | | Case 2:
% 72.89/11.21 | | | | |
% 72.89/11.21 | | | | | (73) all_38_0 = e3
% 72.89/11.21 | | | | | (74) ~ (all_38_1 = e1)
% 72.89/11.21 | | | | |
% 72.89/11.21 | | | | | COMBINE_EQS: (36), (73) imply:
% 72.89/11.21 | | | | | (75) all_22_0 = e3
% 72.89/11.21 | | | | |
% 72.89/11.21 | | | | | SIMP: (75) implies:
% 72.89/11.21 | | | | | (76) all_22_0 = e3
% 72.89/11.21 | | | | |
% 72.89/11.21 | | | | | REDUCE: (7), (74) imply:
% 72.89/11.21 | | | | | (77) ~ (all_8_1 = e1)
% 72.89/11.21 | | | | |
% 72.89/11.21 | | | | | REDUCE: (20), (76) imply:
% 72.89/11.21 | | | | | (78) ~ (all_8_1 = e3)
% 72.89/11.21 | | | | |
% 72.89/11.21 | | | | | SIMP: (78) implies:
% 72.89/11.21 | | | | | (79) ~ (all_8_1 = e3)
% 72.89/11.21 | | | | |
% 72.89/11.21 | | | | | REF_CLOSE: (1), (4), (5), (6), (8), (9), (10), (11), (14), (16), (19),
% 72.89/11.21 | | | | | (21), (22), (25), (26), (30), (32), (37), (38), (39), (40),
% 72.89/11.21 | | | | | (43), (44), (77), (79) are inconsistent by sub-proof #25.
% 72.89/11.21 | | | | |
% 72.89/11.21 | | | | End of split
% 72.89/11.21 | | | |
% 72.89/11.21 | | | Case 2:
% 72.89/11.21 | | | |
% 72.89/11.21 | | | | (80) all_32_0 = e0
% 72.89/11.21 | | | | (81) ~ (all_32_1 = e2)
% 72.89/11.21 | | | |
% 72.89/11.21 | | | | COMBINE_EQS: (40), (80) imply:
% 72.89/11.21 | | | | (82) all_4_0 = e0
% 72.89/11.21 | | | |
% 72.89/11.21 | | | | REDUCE: (19), (81) imply:
% 72.89/11.21 | | | | (83) ~ (all_4_1 = e2)
% 72.89/11.21 | | | |
% 72.89/11.21 | | | | REDUCE: (18), (82) imply:
% 72.89/11.21 | | | | (84) ~ (all_8_0 = e0)
% 72.89/11.21 | | | |
% 72.89/11.21 | | | | REDUCE: (14), (82) imply:
% 72.89/11.21 | | | | (85) ~ (all_4_1 = e0)
% 72.89/11.21 | | | |
% 72.89/11.21 | | | | SIMP: (85) implies:
% 72.89/11.21 | | | | (86) ~ (all_4_1 = e0)
% 72.89/11.21 | | | |
% 72.89/11.21 | | | | BETA: splitting (5) gives:
% 72.89/11.21 | | | |
% 72.89/11.21 | | | | Case 1:
% 72.89/11.21 | | | | |
% 72.89/11.21 | | | | | (87) (all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 & all_56_3 =
% 72.89/11.21 | | | | | e3) | (all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 &
% 72.89/11.21 | | | | | all_56_3 = e2)
% 72.89/11.21 | | | | |
% 72.89/11.21 | | | | | BETA: splitting (87) gives:
% 72.89/11.21 | | | | |
% 72.89/11.21 | | | | | Case 1:
% 72.89/11.21 | | | | | |
% 72.89/11.21 | | | | | | (88) all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 & all_56_3 =
% 72.89/11.21 | | | | | | e3
% 72.89/11.21 | | | | | |
% 72.89/11.21 | | | | | | REF_CLOSE: (31), (35), (88) are inconsistent by sub-proof #26.
% 72.89/11.21 | | | | | |
% 72.89/11.21 | | | | | Case 2:
% 72.89/11.21 | | | | | |
% 72.89/11.21 | | | | | | (89) all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 & all_56_3 =
% 72.89/11.21 | | | | | | e2
% 72.89/11.21 | | | | | |
% 72.89/11.21 | | | | | | REF_CLOSE: (44), (83), (89) are inconsistent by sub-proof #72.
% 72.89/11.21 | | | | | |
% 72.89/11.21 | | | | | End of split
% 72.89/11.21 | | | | |
% 72.89/11.21 | | | | Case 2:
% 72.89/11.21 | | | | |
% 72.89/11.21 | | | | | (90) (all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 & all_56_3 =
% 72.89/11.21 | | | | | e1) | (all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 &
% 72.89/11.21 | | | | | all_56_3 = e0)
% 72.89/11.21 | | | | |
% 72.89/11.21 | | | | | BETA: splitting (90) gives:
% 72.89/11.21 | | | | |
% 72.89/11.21 | | | | | Case 1:
% 72.89/11.21 | | | | | |
% 72.89/11.21 | | | | | | (91) all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 & all_56_3 =
% 72.89/11.21 | | | | | | e1
% 72.89/11.21 | | | | | |
% 72.89/11.21 | | | | | | REF_CLOSE: (23), (24), (25), (28), (45), (48), (84), (91) are
% 72.89/11.21 | | | | | | inconsistent by sub-proof #24.
% 72.89/11.21 | | | | | |
% 72.89/11.21 | | | | | Case 2:
% 72.89/11.21 | | | | | |
% 72.89/11.21 | | | | | | (92) all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 & all_56_3 =
% 72.89/11.21 | | | | | | e0
% 72.89/11.21 | | | | | |
% 72.89/11.21 | | | | | | REF_CLOSE: (44), (86), (92) are inconsistent by sub-proof #77.
% 72.89/11.21 | | | | | |
% 72.89/11.21 | | | | | End of split
% 72.89/11.21 | | | | |
% 72.89/11.21 | | | | End of split
% 72.89/11.21 | | | |
% 72.89/11.21 | | | End of split
% 72.89/11.21 | | |
% 72.89/11.21 | | Case 2:
% 72.89/11.21 | | |
% 72.89/11.21 | | | (93) all_24_0 = e2
% 72.89/11.21 | | | (94) ~ (all_24_1 = e3)
% 72.89/11.21 | | |
% 72.89/11.21 | | | COMBINE_EQS: (41), (93) imply:
% 72.89/11.21 | | | (95) all_8_0 = e2
% 72.89/11.21 | | |
% 72.89/11.21 | | | SIMP: (95) implies:
% 72.89/11.21 | | | (96) all_8_0 = e2
% 72.89/11.21 | | |
% 72.89/11.21 | | | REDUCE: (3), (94) imply:
% 72.89/11.21 | | | (97) ~ (all_8_1 = e3)
% 72.89/11.21 | | |
% 72.89/11.21 | | | REDUCE: (33), (96) imply:
% 72.89/11.21 | | | (98) ~ (all_10_0 = e2)
% 72.89/11.21 | | |
% 72.89/11.21 | | | REDUCE: (45), (96) imply:
% 72.89/11.21 | | | (99) ~ (all_8_1 = e2)
% 72.89/11.21 | | |
% 72.89/11.21 | | | SIMP: (99) implies:
% 72.89/11.21 | | | (100) ~ (all_8_1 = e2)
% 72.89/11.21 | | |
% 72.89/11.21 | | | REF_CLOSE: (1), (5), (8), (16), (22), (25), (26), (39), (43), (97), (98),
% 72.89/11.21 | | | (100) are inconsistent by sub-proof #23.
% 72.89/11.21 | | |
% 72.89/11.21 | | End of split
% 72.89/11.21 | |
% 72.89/11.21 | Case 2:
% 72.89/11.21 | |
% 72.89/11.21 | | (101) all_22_0 = e1
% 72.89/11.21 | | (102) ~ (all_22_1 = e3)
% 72.89/11.21 | |
% 72.89/11.21 | | REDUCE: (20), (101) imply:
% 72.89/11.21 | | (103) ~ (all_8_1 = e1)
% 72.89/11.21 | |
% 72.89/11.21 | | SIMP: (103) implies:
% 72.89/11.21 | | (104) ~ (all_8_1 = e1)
% 72.89/11.21 | |
% 72.89/11.21 | | REDUCE: (13), (101) imply:
% 72.89/11.21 | | (105) ~ (all_6_0 = e1)
% 72.89/11.21 | |
% 72.89/11.21 | | REDUCE: (15), (102) imply:
% 72.89/11.21 | | (106) ~ (all_8_1 = e3)
% 72.89/11.21 | |
% 72.89/11.21 | | REF_CLOSE: (1), (4), (5), (6), (8), (9), (10), (11), (14), (16), (19), (21),
% 72.89/11.21 | | (22), (25), (26), (30), (32), (37), (38), (39), (40), (43), (44),
% 72.89/11.21 | | (104), (106) are inconsistent by sub-proof #25.
% 72.89/11.21 | |
% 72.89/11.21 | End of split
% 72.89/11.21 |
% 72.89/11.21 End of proof
% 72.89/11.21
% 72.89/11.21 Sub-proof #23 shows that the following formulas are inconsistent:
% 72.89/11.21 ----------------------------------------------------------------
% 72.89/11.21 (1) ~ (all_10_0 = e3)
% 72.89/11.21 (2) (all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 & all_56_3 = e3) |
% 72.89/11.21 (all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 & all_56_3 = e2) |
% 72.89/11.21 (all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 & all_56_3 = e1) |
% 72.89/11.21 (all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 & all_56_3 = e0)
% 72.89/11.21 (3) all_64_9 = all_10_0
% 72.89/11.21 (4) ~ (all_10_0 = e2)
% 72.89/11.21 (5) ~ (all_8_1 = e3)
% 72.89/11.21 (6) ~ (all_10_0 = all_10_1)
% 72.89/11.21 (7) ~ (all_8_1 = e2)
% 72.89/11.21 (8) ~ (all_10_0 = e0)
% 72.89/11.21 (9) all_56_3 = all_8_1
% 72.89/11.21 (10) all_56_1 = all_10_1
% 72.89/11.21 (11) all_64_9 = e3 | all_64_9 = e2 | all_64_9 = e1 | all_64_9 = e0
% 72.89/11.21 (12) ~ (all_10_1 = e0)
% 72.89/11.21
% 72.89/11.21 Begin of proof
% 72.89/11.21 |
% 72.89/11.21 | BETA: splitting (2) gives:
% 72.89/11.21 |
% 72.89/11.21 | Case 1:
% 72.89/11.21 | |
% 72.89/11.21 | | (13) (all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 & all_56_3 = e3) |
% 72.89/11.21 | | (all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 & all_56_3 = e2)
% 72.89/11.21 | |
% 72.89/11.21 | | BETA: splitting (13) gives:
% 72.89/11.21 | |
% 72.89/11.21 | | Case 1:
% 72.89/11.21 | | |
% 72.89/11.21 | | | (14) all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 & all_56_3 = e3
% 72.89/11.21 | | |
% 72.89/11.21 | | | REF_CLOSE: (5), (9), (14) are inconsistent by sub-proof #73.
% 72.89/11.21 | | |
% 72.89/11.21 | | Case 2:
% 72.89/11.21 | | |
% 72.89/11.21 | | | (15) all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 & all_56_3 = e2
% 72.89/11.21 | | |
% 72.89/11.21 | | | REF_CLOSE: (7), (9), (15) are inconsistent by sub-proof #28.
% 72.89/11.21 | | |
% 72.89/11.21 | | End of split
% 72.89/11.21 | |
% 72.89/11.21 | Case 2:
% 72.89/11.21 | |
% 72.89/11.21 | | (16) (all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 & all_56_3 = e1) |
% 72.89/11.21 | | (all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 & all_56_3 = e0)
% 72.89/11.21 | |
% 72.89/11.21 | | BETA: splitting (16) gives:
% 72.89/11.21 | |
% 72.89/11.21 | | Case 1:
% 72.89/11.21 | | |
% 72.89/11.21 | | | (17) all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 & all_56_3 = e1
% 72.89/11.21 | | |
% 72.89/11.21 | | | ALPHA: (17) implies:
% 72.89/11.21 | | | (18) all_56_1 = e1
% 72.89/11.21 | | |
% 72.89/11.21 | | | COMBINE_EQS: (10), (18) imply:
% 72.89/11.21 | | | (19) all_10_1 = e1
% 72.89/11.21 | | |
% 72.89/11.21 | | | SIMP: (19) implies:
% 72.89/11.21 | | | (20) all_10_1 = e1
% 72.89/11.21 | | |
% 72.89/11.21 | | | REDUCE: (6), (20) imply:
% 72.89/11.21 | | | (21) ~ (all_10_0 = e1)
% 72.89/11.21 | | |
% 72.89/11.21 | | | REF_CLOSE: (1), (3), (4), (8), (11), (21) are inconsistent by sub-proof
% 72.89/11.21 | | | #105.
% 72.89/11.21 | | |
% 72.89/11.21 | | Case 2:
% 72.89/11.21 | | |
% 72.89/11.21 | | | (22) all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 & all_56_3 = e0
% 72.89/11.21 | | |
% 72.89/11.21 | | | REF_CLOSE: (10), (12), (22) are inconsistent by sub-proof #29.
% 72.89/11.21 | | |
% 72.89/11.21 | | End of split
% 72.89/11.21 | |
% 72.89/11.21 | End of split
% 72.89/11.21 |
% 72.89/11.21 End of proof
% 72.89/11.21
% 72.89/11.21 Sub-proof #24 shows that the following formulas are inconsistent:
% 72.89/11.21 ----------------------------------------------------------------
% 72.89/11.21 (1) ~ (all_8_0 = e0)
% 72.89/11.21 (2) all_64_11 = all_8_0
% 72.89/11.21 (3) ~ (all_8_0 = e3)
% 72.89/11.21 (4) all_56_3 = all_8_1
% 72.89/11.21 (5) all_64_11 = e3 | all_64_11 = e2 | all_64_11 = e1 | all_64_11 = e0
% 72.89/11.21 (6) ~ (all_8_0 = e2)
% 72.89/11.21 (7) all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 & all_56_3 = e1
% 73.34/11.21 (8) ~ (all_8_0 = all_8_1)
% 73.34/11.21
% 73.34/11.21 Begin of proof
% 73.34/11.21 |
% 73.34/11.21 | ALPHA: (7) implies:
% 73.34/11.21 | (9) all_56_3 = e1
% 73.34/11.21 |
% 73.34/11.21 | COMBINE_EQS: (4), (9) imply:
% 73.34/11.21 | (10) all_8_1 = e1
% 73.34/11.21 |
% 73.34/11.21 | SIMP: (10) implies:
% 73.34/11.21 | (11) all_8_1 = e1
% 73.34/11.21 |
% 73.34/11.21 | REDUCE: (8), (11) imply:
% 73.34/11.21 | (12) ~ (all_8_0 = e1)
% 73.34/11.21 |
% 73.34/11.21 | REF_CLOSE: (1), (2), (3), (5), (6), (12) are inconsistent by sub-proof #90.
% 73.34/11.21 |
% 73.34/11.21 End of proof
% 73.34/11.21
% 73.34/11.21 Sub-proof #25 shows that the following formulas are inconsistent:
% 73.34/11.21 ----------------------------------------------------------------
% 73.34/11.21 (1) ~ (all_10_0 = e3)
% 73.34/11.21 (2) ~ (all_10_0 = all_4_0)
% 73.34/11.22 (3) (all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 & all_56_3 = e3) |
% 73.34/11.22 (all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 & all_56_3 = e2) |
% 73.34/11.22 (all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 & all_56_3 = e1) |
% 73.34/11.22 (all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 & all_56_3 = e0)
% 73.34/11.22 (4) ~ (all_32_0 = e0) | ~ (all_32_1 = e2)
% 73.34/11.22 (5) all_64_9 = all_10_0
% 73.34/11.22 (6) all_64_4 = e3 | all_64_4 = e2 | all_64_4 = e1 | all_64_4 = e0
% 73.34/11.22 (7) all_64_8 = all_4_0
% 73.34/11.22 (8) all_64_8 = e3 | all_64_8 = e2 | all_64_8 = e1 | all_64_8 = e0
% 73.34/11.22 (9) ~ (all_4_0 = all_4_1)
% 73.34/11.22 (10) ~ (all_8_1 = e3)
% 73.34/11.22 (11) ~ (all_10_0 = all_10_1)
% 73.34/11.22 (12) all_32_1 = all_4_1
% 73.34/11.22 (13) ~ (all_6_0 = all_4_0)
% 73.34/11.22 (14) ~ (all_10_0 = e0)
% 73.34/11.22 (15) all_56_3 = all_8_1
% 73.34/11.22 (16) all_56_1 = all_10_1
% 73.34/11.22 (17) ~ (all_6_0 = e0)
% 73.34/11.22 (18) ~ (all_6_0 = all_4_1)
% 73.34/11.22 (19) ~ (all_6_0 = e1)
% 73.34/11.22 (20) all_64_4 = all_6_0
% 73.34/11.22 (21) all_64_9 = e3 | all_64_9 = e2 | all_64_9 = e1 | all_64_9 = e0
% 73.34/11.22 (22) all_32_0 = all_4_0
% 73.34/11.22 (23) ~ (all_10_1 = e0)
% 73.34/11.22 (24) all_56_0 = all_4_1
% 73.34/11.22 (25) ~ (all_8_1 = e1)
% 73.34/11.22
% 73.34/11.22 Begin of proof
% 73.34/11.22 |
% 73.34/11.22 | BETA: splitting (3) gives:
% 73.34/11.22 |
% 73.34/11.22 | Case 1:
% 73.34/11.22 | |
% 73.34/11.22 | | (26) (all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 & all_56_3 = e3) |
% 73.34/11.22 | | (all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 & all_56_3 = e2)
% 73.34/11.22 | |
% 73.34/11.22 | | BETA: splitting (26) gives:
% 73.34/11.22 | |
% 73.34/11.22 | | Case 1:
% 73.34/11.22 | | |
% 73.34/11.22 | | | (27) all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 & all_56_3 = e3
% 73.34/11.22 | | |
% 73.34/11.22 | | | REF_CLOSE: (10), (15), (27) are inconsistent by sub-proof #45.
% 73.34/11.22 | | |
% 73.34/11.22 | | Case 2:
% 73.34/11.22 | | |
% 73.34/11.22 | | | (28) all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 & all_56_3 = e2
% 73.34/11.22 | | |
% 73.34/11.22 | | | ALPHA: (28) implies:
% 73.34/11.22 | | | (29) all_56_1 = e2
% 73.34/11.22 | | | (30) all_56_0 = e2
% 73.34/11.22 | | |
% 73.34/11.22 | | | COMBINE_EQS: (24), (30) imply:
% 73.34/11.22 | | | (31) all_4_1 = e2
% 73.34/11.22 | | |
% 73.34/11.22 | | | SIMP: (31) implies:
% 73.34/11.22 | | | (32) all_4_1 = e2
% 73.34/11.22 | | |
% 73.34/11.22 | | | COMBINE_EQS: (16), (29) imply:
% 73.34/11.22 | | | (33) all_10_1 = e2
% 73.34/11.22 | | |
% 73.34/11.22 | | | SIMP: (33) implies:
% 73.34/11.22 | | | (34) all_10_1 = e2
% 73.34/11.22 | | |
% 73.34/11.22 | | | COMBINE_EQS: (12), (32) imply:
% 73.34/11.22 | | | (35) all_32_1 = e2
% 73.34/11.22 | | |
% 73.34/11.22 | | | REDUCE: (11), (34) imply:
% 73.34/11.22 | | | (36) ~ (all_10_0 = e2)
% 73.34/11.22 | | |
% 73.34/11.22 | | | REDUCE: (18), (32) imply:
% 73.34/11.22 | | | (37) ~ (all_6_0 = e2)
% 73.34/11.22 | | |
% 73.34/11.22 | | | REDUCE: (9), (32) imply:
% 73.34/11.22 | | | (38) ~ (all_4_0 = e2)
% 73.34/11.22 | | |
% 73.34/11.22 | | | BETA: splitting (6) gives:
% 73.34/11.22 | | |
% 73.34/11.22 | | | Case 1:
% 73.34/11.22 | | | |
% 73.34/11.22 | | | | (39) all_64_4 = e3
% 73.34/11.22 | | | |
% 73.34/11.22 | | | | COMBINE_EQS: (20), (39) imply:
% 73.34/11.22 | | | | (40) all_6_0 = e3
% 73.34/11.22 | | | |
% 73.34/11.22 | | | | REDUCE: (13), (40) imply:
% 73.34/11.22 | | | | (41) ~ (all_4_0 = e3)
% 73.34/11.22 | | | |
% 73.34/11.22 | | | | SIMP: (41) implies:
% 73.34/11.22 | | | | (42) ~ (all_4_0 = e3)
% 73.34/11.22 | | | |
% 73.34/11.22 | | | | BETA: splitting (4) gives:
% 73.34/11.22 | | | |
% 73.34/11.22 | | | | Case 1:
% 73.34/11.22 | | | | |
% 73.34/11.22 | | | | | (43) ~ (all_32_0 = e0)
% 73.34/11.22 | | | | |
% 73.34/11.22 | | | | | REDUCE: (22), (43) imply:
% 73.34/11.22 | | | | | (44) ~ (all_4_0 = e0)
% 73.34/11.22 | | | | |
% 73.34/11.22 | | | | | REF_CLOSE: (1), (2), (5), (7), (8), (14), (21), (36), (38), (42), (44)
% 73.34/11.22 | | | | | are inconsistent by sub-proof #99.
% 73.34/11.22 | | | | |
% 73.34/11.22 | | | | Case 2:
% 73.34/11.22 | | | | |
% 73.34/11.22 | | | | | (45) ~ (all_32_1 = e2)
% 73.34/11.22 | | | | |
% 73.34/11.22 | | | | | REDUCE: (35), (45) imply:
% 73.34/11.22 | | | | | (46) $false
% 73.34/11.22 | | | | |
% 73.34/11.22 | | | | | CLOSE: (46) is inconsistent.
% 73.34/11.22 | | | | |
% 73.34/11.22 | | | | End of split
% 73.34/11.22 | | | |
% 73.34/11.22 | | | Case 2:
% 73.34/11.22 | | | |
% 73.34/11.22 | | | | (47) all_64_4 = e2 | all_64_4 = e1 | all_64_4 = e0
% 73.34/11.22 | | | |
% 73.34/11.22 | | | | REF_CLOSE: (17), (19), (20), (37), (47) are inconsistent by sub-proof
% 73.34/11.22 | | | | #97.
% 73.34/11.22 | | | |
% 73.34/11.22 | | | End of split
% 73.34/11.22 | | |
% 73.34/11.22 | | End of split
% 73.34/11.22 | |
% 73.34/11.22 | Case 2:
% 73.34/11.22 | |
% 73.34/11.22 | | (48) (all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 & all_56_3 = e1) |
% 73.34/11.22 | | (all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 & all_56_3 = e0)
% 73.34/11.22 | |
% 73.34/11.22 | | BETA: splitting (48) gives:
% 73.34/11.22 | |
% 73.34/11.22 | | Case 1:
% 73.34/11.22 | | |
% 73.34/11.22 | | | (49) all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 & all_56_3 = e1
% 73.34/11.22 | | |
% 73.34/11.22 | | | REF_CLOSE: (15), (25), (49) are inconsistent by sub-proof #67.
% 73.34/11.22 | | |
% 73.34/11.22 | | Case 2:
% 73.34/11.22 | | |
% 73.34/11.22 | | | (50) all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 & all_56_3 = e0
% 73.34/11.22 | | |
% 73.34/11.22 | | | REF_CLOSE: (16), (23), (50) are inconsistent by sub-proof #29.
% 73.34/11.22 | | |
% 73.34/11.22 | | End of split
% 73.34/11.22 | |
% 73.34/11.22 | End of split
% 73.34/11.22 |
% 73.34/11.22 End of proof
% 73.34/11.22
% 73.34/11.22 Sub-proof #26 shows that the following formulas are inconsistent:
% 73.34/11.22 ----------------------------------------------------------------
% 73.34/11.22 (1) all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 & all_56_3 = e3
% 73.34/11.22 (2) all_56_2 = all_12_1
% 73.34/11.22 (3) ~ (all_12_1 = e3)
% 73.34/11.22
% 73.34/11.22 Begin of proof
% 73.34/11.22 |
% 73.34/11.22 | ALPHA: (1) implies:
% 73.34/11.22 | (4) all_56_2 = e3
% 73.34/11.22 |
% 73.34/11.22 | COMBINE_EQS: (2), (4) imply:
% 73.34/11.22 | (5) all_12_1 = e3
% 73.34/11.22 |
% 73.34/11.22 | SIMP: (5) implies:
% 73.34/11.22 | (6) all_12_1 = e3
% 73.34/11.22 |
% 73.34/11.22 | REDUCE: (3), (6) imply:
% 73.34/11.22 | (7) $false
% 73.34/11.22 |
% 73.34/11.22 | CLOSE: (7) is inconsistent.
% 73.34/11.22 |
% 73.34/11.22 End of proof
% 73.34/11.22
% 73.34/11.22 Sub-proof #27 shows that the following formulas are inconsistent:
% 73.34/11.22 ----------------------------------------------------------------
% 73.34/11.22 (1) ~ (all_4_0 = e2)
% 73.34/11.22 (2) all_64_4 = e3 | all_64_4 = e2 | all_64_4 = e1 | all_64_4 = e0
% 73.34/11.22 (3) all_64_8 = all_4_0
% 73.34/11.22 (4) all_64_8 = e3 | all_64_8 = e2 | all_64_8 = e1 | all_64_8 = e0
% 73.34/11.22 (5) ~ (all_4_0 = e0)
% 73.34/11.22 (6) ~ (all_6_0 = e2)
% 73.34/11.22 (7) ~ (all_6_0 = all_4_0)
% 73.34/11.22 (8) ~ (all_6_0 = e0)
% 73.34/11.22 (9) ~ (all_4_0 = e1)
% 73.34/11.22 (10) ~ (all_6_0 = e1)
% 73.34/11.22 (11) all_64_4 = all_6_0
% 73.34/11.22
% 73.34/11.22 Begin of proof
% 73.34/11.22 |
% 73.34/11.22 | BETA: splitting (2) gives:
% 73.34/11.22 |
% 73.34/11.22 | Case 1:
% 73.34/11.22 | |
% 73.34/11.22 | | (12) all_64_4 = e3
% 73.34/11.22 | |
% 73.34/11.22 | | COMBINE_EQS: (11), (12) imply:
% 73.34/11.22 | | (13) all_6_0 = e3
% 73.34/11.22 | |
% 73.34/11.22 | | REDUCE: (7), (13) imply:
% 73.34/11.22 | | (14) ~ (all_4_0 = e3)
% 73.34/11.22 | |
% 73.34/11.22 | | SIMP: (14) implies:
% 73.34/11.22 | | (15) ~ (all_4_0 = e3)
% 73.34/11.22 | |
% 73.34/11.22 | | REF_CLOSE: (1), (3), (4), (5), (9), (15) are inconsistent by sub-proof #52.
% 73.34/11.22 | |
% 73.34/11.22 | Case 2:
% 73.34/11.22 | |
% 73.34/11.22 | | (16) all_64_4 = e2 | all_64_4 = e1 | all_64_4 = e0
% 73.34/11.22 | |
% 73.34/11.22 | | REF_CLOSE: (6), (8), (10), (11), (16) are inconsistent by sub-proof #97.
% 73.34/11.22 | |
% 73.34/11.22 | End of split
% 73.34/11.22 |
% 73.34/11.22 End of proof
% 73.34/11.22
% 73.34/11.22 Sub-proof #28 shows that the following formulas are inconsistent:
% 73.34/11.22 ----------------------------------------------------------------
% 73.34/11.22 (1) all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 & all_56_3 = e2
% 73.34/11.22 (2) all_56_3 = all_8_1
% 73.34/11.22 (3) ~ (all_8_1 = e2)
% 73.34/11.22
% 73.34/11.22 Begin of proof
% 73.34/11.22 |
% 73.34/11.22 | ALPHA: (1) implies:
% 73.34/11.22 | (4) all_56_3 = e2
% 73.34/11.22 |
% 73.34/11.22 | COMBINE_EQS: (2), (4) imply:
% 73.34/11.22 | (5) all_8_1 = e2
% 73.34/11.22 |
% 73.34/11.22 | SIMP: (5) implies:
% 73.34/11.22 | (6) all_8_1 = e2
% 73.34/11.22 |
% 73.34/11.22 | REDUCE: (3), (6) imply:
% 73.34/11.22 | (7) $false
% 73.34/11.22 |
% 73.34/11.22 | CLOSE: (7) is inconsistent.
% 73.34/11.22 |
% 73.34/11.22 End of proof
% 73.34/11.22
% 73.34/11.22 Sub-proof #29 shows that the following formulas are inconsistent:
% 73.34/11.22 ----------------------------------------------------------------
% 73.34/11.22 (1) all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 & all_56_3 = e0
% 73.34/11.22 (2) all_56_1 = all_10_1
% 73.34/11.22 (3) ~ (all_10_1 = e0)
% 73.34/11.22
% 73.34/11.22 Begin of proof
% 73.34/11.22 |
% 73.34/11.22 | ALPHA: (1) implies:
% 73.34/11.22 | (4) all_56_1 = e0
% 73.34/11.22 |
% 73.34/11.22 | COMBINE_EQS: (2), (4) imply:
% 73.34/11.22 | (5) all_10_1 = e0
% 73.34/11.22 |
% 73.34/11.22 | SIMP: (5) implies:
% 73.34/11.22 | (6) all_10_1 = e0
% 73.34/11.22 |
% 73.34/11.22 | REDUCE: (3), (6) imply:
% 73.34/11.22 | (7) $false
% 73.34/11.22 |
% 73.34/11.22 | CLOSE: (7) is inconsistent.
% 73.34/11.22 |
% 73.34/11.22 End of proof
% 73.34/11.22
% 73.34/11.22 Sub-proof #30 shows that the following formulas are inconsistent:
% 73.34/11.22 ----------------------------------------------------------------
% 73.34/11.22 (1) ~ (all_42_0 = e2)
% 73.34/11.22 (2) all_64_14 = all_42_0
% 73.34/11.22 (3) ~ (all_28_0 = e2)
% 73.34/11.22 (4) all_64_12 = all_28_0
% 73.34/11.22 (5) all_64_12 = e3 | all_64_12 = e2 | all_64_12 = e1 | all_64_12 = e0
% 73.34/11.22 (6) ~ (all_28_0 = e1)
% 73.34/11.22 (7) ~ (all_28_0 = e3)
% 73.34/11.22 (8) ~ (all_42_0 = e1)
% 73.34/11.22 (9) ~ (all_42_0 = e3)
% 73.34/11.22 (10) ~ (all_42_0 = all_28_0)
% 73.34/11.22 (11) all_64_14 = e3 | all_64_14 = e2 | all_64_14 = e1 | all_64_14 = e0
% 73.34/11.22
% 73.34/11.22 Begin of proof
% 73.34/11.22 |
% 73.34/11.22 | BETA: splitting (5) gives:
% 73.34/11.22 |
% 73.34/11.22 | Case 1:
% 73.34/11.22 | |
% 73.34/11.22 | | (12) all_64_12 = e3
% 73.34/11.22 | |
% 73.34/11.22 | | COMBINE_EQS: (4), (12) imply:
% 73.34/11.22 | | (13) all_28_0 = e3
% 73.34/11.22 | |
% 73.34/11.22 | | REDUCE: (7), (13) imply:
% 73.34/11.22 | | (14) $false
% 73.34/11.22 | |
% 73.34/11.22 | | CLOSE: (14) is inconsistent.
% 73.34/11.22 | |
% 73.34/11.22 | Case 2:
% 73.34/11.22 | |
% 73.34/11.22 | | (15) all_64_12 = e2 | all_64_12 = e1 | all_64_12 = e0
% 73.34/11.22 | |
% 73.34/11.22 | | BETA: splitting (11) gives:
% 73.34/11.22 | |
% 73.34/11.22 | | Case 1:
% 73.34/11.22 | | |
% 73.34/11.22 | | | (16) all_64_14 = e3
% 73.34/11.22 | | |
% 73.34/11.22 | | | COMBINE_EQS: (2), (16) imply:
% 73.34/11.22 | | | (17) all_42_0 = e3
% 73.34/11.22 | | |
% 73.34/11.22 | | | REDUCE: (9), (17) imply:
% 73.34/11.22 | | | (18) $false
% 73.34/11.22 | | |
% 73.34/11.22 | | | CLOSE: (18) is inconsistent.
% 73.34/11.22 | | |
% 73.34/11.22 | | Case 2:
% 73.34/11.22 | | |
% 73.34/11.22 | | | (19) all_64_14 = e2 | all_64_14 = e1 | all_64_14 = e0
% 73.34/11.22 | | |
% 73.34/11.22 | | | BETA: splitting (19) gives:
% 73.34/11.22 | | |
% 73.34/11.22 | | | Case 1:
% 73.34/11.22 | | | |
% 73.34/11.22 | | | | (20) all_64_14 = e2
% 73.34/11.22 | | | |
% 73.34/11.22 | | | | COMBINE_EQS: (2), (20) imply:
% 73.34/11.22 | | | | (21) all_42_0 = e2
% 73.34/11.22 | | | |
% 73.34/11.22 | | | | REDUCE: (1), (21) imply:
% 73.34/11.22 | | | | (22) $false
% 73.34/11.22 | | | |
% 73.34/11.22 | | | | CLOSE: (22) is inconsistent.
% 73.34/11.22 | | | |
% 73.34/11.22 | | | Case 2:
% 73.34/11.22 | | | |
% 73.34/11.22 | | | | (23) all_64_14 = e1 | all_64_14 = e0
% 73.34/11.22 | | | |
% 73.34/11.22 | | | | REF_CLOSE: (2), (3), (4), (6), (8), (10), (15), (23) are inconsistent by
% 73.34/11.22 | | | | sub-proof #31.
% 73.34/11.22 | | | |
% 73.34/11.22 | | | End of split
% 73.34/11.22 | | |
% 73.34/11.22 | | End of split
% 73.34/11.22 | |
% 73.34/11.22 | End of split
% 73.34/11.22 |
% 73.34/11.22 End of proof
% 73.34/11.22
% 73.34/11.22 Sub-proof #31 shows that the following formulas are inconsistent:
% 73.34/11.22 ----------------------------------------------------------------
% 73.34/11.22 (1) all_64_12 = e2 | all_64_12 = e1 | all_64_12 = e0
% 73.34/11.22 (2) all_64_14 = all_42_0
% 73.34/11.22 (3) ~ (all_28_0 = e2)
% 73.34/11.22 (4) all_64_12 = all_28_0
% 73.34/11.22 (5) ~ (all_28_0 = e1)
% 73.34/11.22 (6) ~ (all_42_0 = e1)
% 73.34/11.22 (7) ~ (all_42_0 = all_28_0)
% 73.34/11.22 (8) all_64_14 = e1 | all_64_14 = e0
% 73.34/11.22
% 73.34/11.22 Begin of proof
% 73.34/11.22 |
% 73.34/11.22 | BETA: splitting (8) gives:
% 73.34/11.22 |
% 73.34/11.22 | Case 1:
% 73.34/11.22 | |
% 73.34/11.22 | | (9) all_64_14 = e1
% 73.34/11.22 | |
% 73.34/11.22 | | COMBINE_EQS: (2), (9) imply:
% 73.34/11.23 | | (10) all_42_0 = e1
% 73.34/11.23 | |
% 73.34/11.23 | | REDUCE: (6), (10) imply:
% 73.34/11.23 | | (11) $false
% 73.34/11.23 | |
% 73.34/11.23 | | CLOSE: (11) is inconsistent.
% 73.34/11.23 | |
% 73.34/11.23 | Case 2:
% 73.34/11.23 | |
% 73.34/11.23 | | (12) all_64_14 = e0
% 73.34/11.23 | |
% 73.34/11.23 | | COMBINE_EQS: (2), (12) imply:
% 73.34/11.23 | | (13) all_42_0 = e0
% 73.34/11.23 | |
% 73.34/11.23 | | REDUCE: (7), (13) imply:
% 73.34/11.23 | | (14) ~ (all_28_0 = e0)
% 73.34/11.23 | |
% 73.34/11.23 | | SIMP: (14) implies:
% 73.34/11.23 | | (15) ~ (all_28_0 = e0)
% 73.34/11.23 | |
% 73.34/11.23 | | REF_CLOSE: (1), (3), (4), (5), (15) are inconsistent by sub-proof #84.
% 73.34/11.23 | |
% 73.34/11.23 | End of split
% 73.34/11.23 |
% 73.34/11.23 End of proof
% 73.34/11.23
% 73.34/11.23 Sub-proof #32 shows that the following formulas are inconsistent:
% 73.34/11.23 ----------------------------------------------------------------
% 73.34/11.23 (1) all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 & all_56_3 = e3
% 73.34/11.23 (2) all_56_1 = all_10_1
% 73.34/11.23 (3) ~ (all_10_1 = e3)
% 73.34/11.23
% 73.34/11.23 Begin of proof
% 73.34/11.23 |
% 73.34/11.23 | ALPHA: (1) implies:
% 73.34/11.23 | (4) all_56_1 = e3
% 73.34/11.23 |
% 73.34/11.23 | COMBINE_EQS: (2), (4) imply:
% 73.34/11.23 | (5) all_10_1 = e3
% 73.34/11.23 |
% 73.34/11.23 | SIMP: (5) implies:
% 73.34/11.23 | (6) all_10_1 = e3
% 73.34/11.23 |
% 73.34/11.23 | REDUCE: (3), (6) imply:
% 73.34/11.23 | (7) $false
% 73.34/11.23 |
% 73.34/11.23 | CLOSE: (7) is inconsistent.
% 73.34/11.23 |
% 73.34/11.23 End of proof
% 73.34/11.23
% 73.34/11.23 Sub-proof #33 shows that the following formulas are inconsistent:
% 73.34/11.23 ----------------------------------------------------------------
% 73.34/11.23 (1) ~ (all_10_0 = e3)
% 73.34/11.23 (2) ~ (all_10_0 = all_4_0)
% 73.34/11.23 (3) (all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 & all_56_3 = e3) |
% 73.34/11.23 (all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 & all_56_3 = e2) |
% 73.34/11.23 (all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 & all_56_3 = e1) |
% 73.34/11.23 (all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 & all_56_3 = e0)
% 73.34/11.23 (4) ~ (all_12_0 = all_10_1)
% 73.34/11.23 (5) all_64_9 = all_10_0
% 73.34/11.23 (6) all_64_4 = e3 | all_64_4 = e2 | all_64_4 = e1 | all_64_4 = e0
% 73.34/11.23 (7) all_64_8 = all_4_0
% 73.34/11.23 (8) all_64_8 = e3 | all_64_8 = e2 | all_64_8 = e1 | all_64_8 = e0
% 73.34/11.23 (9) ~ (all_4_0 = all_4_1)
% 73.34/11.23 (10) ~ (all_8_0 = e1)
% 73.34/11.23 (11) ~ (all_12_0 = e0)
% 73.34/11.23 (12) ~ (all_8_1 = e3)
% 73.34/11.23 (13) ~ (all_10_0 = all_10_1)
% 73.34/11.23 (14) ~ (all_8_0 = all_4_0)
% 73.34/11.23 (15) ~ (all_6_0 = all_4_0)
% 73.34/11.23 (16) ~ (all_12_0 = e3)
% 73.34/11.23 (17) all_64_11 = all_8_0
% 73.34/11.23 (18) ~ (all_8_0 = e3)
% 73.34/11.23 (19) all_56_3 = all_8_1
% 73.34/11.23 (20) all_56_1 = all_10_1
% 73.34/11.23 (21) all_64_11 = e3 | all_64_11 = e2 | all_64_11 = e1 | all_64_11 = e0
% 73.34/11.23 (22) ~ (all_6_0 = all_4_1)
% 73.34/11.23 (23) ~ (all_10_0 = all_8_0)
% 73.34/11.23 (24) ~ (all_6_0 = e1)
% 73.34/11.23 (25) all_64_6 = all_12_0
% 73.34/11.23 (26) all_64_4 = all_6_0
% 73.34/11.23 (27) ~ (all_12_0 = e1)
% 73.34/11.23 (28) all_64_9 = e3 | all_64_9 = e2 | all_64_9 = e1 | all_64_9 = e0
% 73.34/11.23 (29) ~ (all_12_0 = all_6_0)
% 73.34/11.23 (30) all_64_6 = e3 | all_64_6 = e2 | all_64_6 = e1 | all_64_6 = e0
% 73.34/11.23 (31) all_56_0 = all_4_1
% 73.34/11.23 (32) ~ (all_8_0 = all_8_1)
% 73.34/11.23 (33) ~ (all_8_1 = e1)
% 73.34/11.23
% 73.34/11.23 Begin of proof
% 73.34/11.23 |
% 73.34/11.23 | BETA: splitting (30) gives:
% 73.34/11.23 |
% 73.34/11.23 | Case 1:
% 73.34/11.23 | |
% 73.34/11.23 | | (34) all_64_6 = e3
% 73.34/11.23 | |
% 73.34/11.23 | | REF_CLOSE: (16), (25), (34) are inconsistent by sub-proof #95.
% 73.34/11.23 | |
% 73.34/11.23 | Case 2:
% 73.34/11.23 | |
% 73.34/11.23 | | (35) all_64_6 = e2 | all_64_6 = e1 | all_64_6 = e0
% 73.34/11.23 | |
% 73.34/11.23 | | BETA: splitting (35) gives:
% 73.34/11.23 | |
% 73.34/11.23 | | Case 1:
% 73.34/11.23 | | |
% 73.34/11.23 | | | (36) all_64_6 = e2
% 73.34/11.23 | | |
% 73.34/11.23 | | | COMBINE_EQS: (25), (36) imply:
% 73.34/11.23 | | | (37) all_12_0 = e2
% 73.34/11.23 | | |
% 73.34/11.23 | | | SIMP: (37) implies:
% 73.34/11.23 | | | (38) all_12_0 = e2
% 73.34/11.23 | | |
% 73.34/11.23 | | | REDUCE: (4), (38) imply:
% 73.34/11.23 | | | (39) ~ (all_10_1 = e2)
% 73.34/11.23 | | |
% 73.34/11.23 | | | SIMP: (39) implies:
% 73.34/11.23 | | | (40) ~ (all_10_1 = e2)
% 73.34/11.23 | | |
% 73.34/11.23 | | | REDUCE: (29), (38) imply:
% 73.34/11.23 | | | (41) ~ (all_6_0 = e2)
% 73.34/11.23 | | |
% 73.34/11.23 | | | SIMP: (41) implies:
% 73.34/11.23 | | | (42) ~ (all_6_0 = e2)
% 73.34/11.23 | | |
% 73.34/11.23 | | | BETA: splitting (3) gives:
% 73.34/11.23 | | |
% 73.34/11.23 | | | Case 1:
% 73.34/11.23 | | | |
% 73.34/11.23 | | | | (43) (all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 & all_56_3 = e3)
% 73.34/11.23 | | | | | (all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 & all_56_3 =
% 73.34/11.23 | | | | e2)
% 73.34/11.23 | | | |
% 73.34/11.23 | | | | BETA: splitting (43) gives:
% 73.34/11.23 | | | |
% 73.34/11.23 | | | | Case 1:
% 73.34/11.23 | | | | |
% 73.34/11.23 | | | | | (44) all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 & all_56_3 = e3
% 73.34/11.23 | | | | |
% 73.34/11.23 | | | | | REF_CLOSE: (12), (19), (44) are inconsistent by sub-proof #73.
% 73.34/11.23 | | | | |
% 73.34/11.23 | | | | Case 2:
% 73.34/11.23 | | | | |
% 73.34/11.23 | | | | | (45) all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 & all_56_3 = e2
% 73.34/11.23 | | | | |
% 73.34/11.23 | | | | | ALPHA: (45) implies:
% 73.34/11.23 | | | | | (46) all_56_1 = e2
% 73.34/11.23 | | | | |
% 73.34/11.23 | | | | | COMBINE_EQS: (20), (46) imply:
% 73.34/11.23 | | | | | (47) all_10_1 = e2
% 73.34/11.23 | | | | |
% 73.34/11.23 | | | | | SIMP: (47) implies:
% 73.34/11.23 | | | | | (48) all_10_1 = e2
% 73.34/11.23 | | | | |
% 73.34/11.23 | | | | | REDUCE: (40), (48) imply:
% 73.34/11.23 | | | | | (49) $false
% 73.34/11.23 | | | | |
% 73.34/11.23 | | | | | CLOSE: (49) is inconsistent.
% 73.34/11.23 | | | | |
% 73.34/11.23 | | | | End of split
% 73.34/11.23 | | | |
% 73.34/11.23 | | | Case 2:
% 73.34/11.23 | | | |
% 73.34/11.23 | | | | (50) (all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 & all_56_3 = e1)
% 73.34/11.23 | | | | | (all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 & all_56_3 =
% 73.34/11.23 | | | | e0)
% 73.34/11.23 | | | |
% 73.34/11.23 | | | | BETA: splitting (50) gives:
% 73.34/11.23 | | | |
% 73.34/11.23 | | | | Case 1:
% 73.34/11.23 | | | | |
% 73.34/11.23 | | | | | (51) all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 & all_56_3 = e1
% 73.34/11.23 | | | | |
% 73.34/11.23 | | | | | REF_CLOSE: (19), (33), (51) are inconsistent by sub-proof #54.
% 73.34/11.23 | | | | |
% 73.34/11.23 | | | | Case 2:
% 73.34/11.23 | | | | |
% 73.34/11.23 | | | | | (52) all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 & all_56_3 = e0
% 73.34/11.23 | | | | |
% 73.34/11.23 | | | | | ALPHA: (52) implies:
% 73.34/11.23 | | | | | (53) all_56_3 = e0
% 73.34/11.23 | | | | | (54) all_56_1 = e0
% 73.34/11.23 | | | | | (55) all_56_0 = e0
% 73.34/11.23 | | | | |
% 73.34/11.23 | | | | | COMBINE_EQS: (31), (55) imply:
% 73.34/11.23 | | | | | (56) all_4_1 = e0
% 73.34/11.23 | | | | |
% 73.34/11.23 | | | | | COMBINE_EQS: (20), (54) imply:
% 73.34/11.23 | | | | | (57) all_10_1 = e0
% 73.34/11.23 | | | | |
% 73.34/11.23 | | | | | SIMP: (57) implies:
% 73.34/11.23 | | | | | (58) all_10_1 = e0
% 73.34/11.23 | | | | |
% 73.34/11.23 | | | | | COMBINE_EQS: (19), (53) imply:
% 73.34/11.23 | | | | | (59) all_8_1 = e0
% 73.34/11.23 | | | | |
% 73.34/11.23 | | | | | SIMP: (59) implies:
% 73.34/11.23 | | | | | (60) all_8_1 = e0
% 73.34/11.23 | | | | |
% 73.34/11.23 | | | | | REDUCE: (13), (58) imply:
% 73.34/11.23 | | | | | (61) ~ (all_10_0 = e0)
% 73.34/11.23 | | | | |
% 73.34/11.23 | | | | | REDUCE: (32), (60) imply:
% 73.34/11.23 | | | | | (62) ~ (all_8_0 = e0)
% 73.34/11.23 | | | | |
% 73.34/11.23 | | | | | REDUCE: (22), (56) imply:
% 73.34/11.23 | | | | | (63) ~ (all_6_0 = e0)
% 73.34/11.23 | | | | |
% 73.34/11.23 | | | | | REDUCE: (9), (56) imply:
% 73.34/11.23 | | | | | (64) ~ (all_4_0 = e0)
% 73.34/11.23 | | | | |
% 73.34/11.23 | | | | | BETA: splitting (21) gives:
% 73.34/11.23 | | | | |
% 73.34/11.23 | | | | | Case 1:
% 73.34/11.23 | | | | | |
% 73.34/11.23 | | | | | | (65) all_64_11 = e3
% 73.34/11.23 | | | | | |
% 73.34/11.23 | | | | | | COMBINE_EQS: (17), (65) imply:
% 73.34/11.23 | | | | | | (66) all_8_0 = e3
% 73.34/11.23 | | | | | |
% 73.34/11.23 | | | | | | REDUCE: (18), (66) imply:
% 73.34/11.23 | | | | | | (67) $false
% 73.34/11.23 | | | | | |
% 73.34/11.23 | | | | | | CLOSE: (67) is inconsistent.
% 73.34/11.23 | | | | | |
% 73.34/11.23 | | | | | Case 2:
% 73.34/11.23 | | | | | |
% 73.34/11.23 | | | | | | (68) all_64_11 = e2 | all_64_11 = e1 | all_64_11 = e0
% 73.34/11.23 | | | | | |
% 73.34/11.23 | | | | | | BETA: splitting (68) gives:
% 73.34/11.23 | | | | | |
% 73.34/11.23 | | | | | | Case 1:
% 73.34/11.23 | | | | | | |
% 73.34/11.23 | | | | | | | (69) all_64_11 = e2
% 73.34/11.23 | | | | | | |
% 73.34/11.23 | | | | | | | COMBINE_EQS: (17), (69) imply:
% 73.34/11.23 | | | | | | | (70) all_8_0 = e2
% 73.34/11.23 | | | | | | |
% 73.34/11.23 | | | | | | | REDUCE: (23), (70) imply:
% 73.34/11.23 | | | | | | | (71) ~ (all_10_0 = e2)
% 73.34/11.23 | | | | | | |
% 73.34/11.23 | | | | | | | REDUCE: (14), (70) imply:
% 73.34/11.23 | | | | | | | (72) ~ (all_4_0 = e2)
% 73.34/11.23 | | | | | | |
% 73.34/11.23 | | | | | | | SIMP: (72) implies:
% 73.34/11.23 | | | | | | | (73) ~ (all_4_0 = e2)
% 73.34/11.23 | | | | | | |
% 73.34/11.23 | | | | | | | REF_CLOSE: (1), (2), (5), (6), (7), (8), (15), (24), (26), (28),
% 73.34/11.23 | | | | | | | (42), (61), (63), (64), (71), (73) are inconsistent by
% 73.34/11.23 | | | | | | | sub-proof #96.
% 73.34/11.23 | | | | | | |
% 73.34/11.23 | | | | | | Case 2:
% 73.34/11.23 | | | | | | |
% 73.34/11.23 | | | | | | | (74) all_64_11 = e1 | all_64_11 = e0
% 73.34/11.23 | | | | | | |
% 73.34/11.23 | | | | | | | REF_CLOSE: (10), (17), (62), (74) are inconsistent by sub-proof
% 73.34/11.23 | | | | | | | #91.
% 73.34/11.23 | | | | | | |
% 73.34/11.23 | | | | | | End of split
% 73.34/11.23 | | | | | |
% 73.34/11.23 | | | | | End of split
% 73.34/11.23 | | | | |
% 73.34/11.23 | | | | End of split
% 73.34/11.23 | | | |
% 73.34/11.23 | | | End of split
% 73.34/11.23 | | |
% 73.34/11.23 | | Case 2:
% 73.34/11.23 | | |
% 73.34/11.23 | | | (75) all_64_6 = e1 | all_64_6 = e0
% 73.34/11.23 | | |
% 73.34/11.23 | | | REF_CLOSE: (11), (25), (27), (75) are inconsistent by sub-proof #88.
% 73.34/11.23 | | |
% 73.34/11.23 | | End of split
% 73.34/11.23 | |
% 73.34/11.23 | End of split
% 73.34/11.23 |
% 73.34/11.23 End of proof
% 73.34/11.23
% 73.34/11.23 Sub-proof #34 shows that the following formulas are inconsistent:
% 73.34/11.23 ----------------------------------------------------------------
% 73.34/11.23 (1) all_64_7 = e2 | all_64_7 = e1 | all_64_7 = e0
% 73.34/11.23 (2) ~ (all_22_0 = e0)
% 73.34/11.23 (3) ~ (all_22_0 = e1)
% 73.34/11.23 (4) ~ (all_22_0 = e2)
% 73.34/11.23 (5) all_64_7 = all_22_0
% 73.34/11.23
% 73.34/11.23 Begin of proof
% 73.34/11.23 |
% 73.34/11.23 | BETA: splitting (1) gives:
% 73.34/11.23 |
% 73.34/11.23 | Case 1:
% 73.34/11.23 | |
% 73.34/11.23 | | (6) all_64_7 = e2
% 73.34/11.23 | |
% 73.34/11.23 | | COMBINE_EQS: (5), (6) imply:
% 73.34/11.23 | | (7) all_22_0 = e2
% 73.34/11.23 | |
% 73.34/11.23 | | REDUCE: (4), (7) imply:
% 73.34/11.23 | | (8) $false
% 73.34/11.23 | |
% 73.34/11.23 | | CLOSE: (8) is inconsistent.
% 73.34/11.23 | |
% 73.34/11.23 | Case 2:
% 73.34/11.23 | |
% 73.34/11.23 | | (9) all_64_7 = e1 | all_64_7 = e0
% 73.34/11.23 | |
% 73.34/11.23 | | REF_CLOSE: (2), (3), (5), (9) are inconsistent by sub-proof #75.
% 73.34/11.23 | |
% 73.34/11.23 | End of split
% 73.34/11.23 |
% 73.34/11.23 End of proof
% 73.34/11.23
% 73.34/11.23 Sub-proof #35 shows that the following formulas are inconsistent:
% 73.34/11.23 ----------------------------------------------------------------
% 73.34/11.23 (1) all_64_2 = e1 | all_64_2 = e0
% 73.34/11.23 (2) all_64_2 = all_40_0
% 73.34/11.23 (3) ~ (all_40_0 = e1)
% 73.34/11.23 (4) ~ (all_40_0 = e0)
% 73.34/11.23
% 73.34/11.23 Begin of proof
% 73.34/11.23 |
% 73.34/11.23 | BETA: splitting (1) gives:
% 73.34/11.23 |
% 73.34/11.23 | Case 1:
% 73.34/11.23 | |
% 73.34/11.23 | | (5) all_64_2 = e1
% 73.34/11.23 | |
% 73.34/11.23 | | COMBINE_EQS: (2), (5) imply:
% 73.34/11.23 | | (6) all_40_0 = e1
% 73.34/11.23 | |
% 73.34/11.23 | | SIMP: (6) implies:
% 73.34/11.23 | | (7) all_40_0 = e1
% 73.34/11.23 | |
% 73.34/11.23 | | REDUCE: (3), (7) imply:
% 73.34/11.23 | | (8) $false
% 73.34/11.23 | |
% 73.34/11.23 | | CLOSE: (8) is inconsistent.
% 73.34/11.23 | |
% 73.34/11.23 | Case 2:
% 73.34/11.23 | |
% 73.34/11.23 | | (9) all_64_2 = e0
% 73.34/11.23 | |
% 73.34/11.23 | | COMBINE_EQS: (2), (9) imply:
% 73.34/11.23 | | (10) all_40_0 = e0
% 73.34/11.23 | |
% 73.34/11.23 | | SIMP: (10) implies:
% 73.34/11.23 | | (11) all_40_0 = e0
% 73.34/11.23 | |
% 73.34/11.23 | | REDUCE: (4), (11) imply:
% 73.34/11.23 | | (12) $false
% 73.34/11.23 | |
% 73.34/11.23 | | CLOSE: (12) is inconsistent.
% 73.34/11.23 | |
% 73.34/11.23 | End of split
% 73.34/11.23 |
% 73.34/11.23 End of proof
% 73.34/11.23
% 73.34/11.23 Sub-proof #36 shows that the following formulas are inconsistent:
% 73.34/11.23 ----------------------------------------------------------------
% 73.34/11.23 (1) all_64_12 = all_28_0
% 73.34/11.23 (2) all_64_12 = e0
% 73.34/11.23 (3) ~ (all_28_0 = e0)
% 73.34/11.23
% 73.34/11.23 Begin of proof
% 73.34/11.23 |
% 73.34/11.23 | COMBINE_EQS: (1), (2) imply:
% 73.34/11.23 | (4) all_28_0 = e0
% 73.34/11.23 |
% 73.34/11.23 | SIMP: (4) implies:
% 73.34/11.23 | (5) all_28_0 = e0
% 73.34/11.23 |
% 73.34/11.23 | REDUCE: (3), (5) imply:
% 73.34/11.23 | (6) $false
% 73.34/11.23 |
% 73.34/11.23 | CLOSE: (6) is inconsistent.
% 73.34/11.23 |
% 73.34/11.23 End of proof
% 73.34/11.23
% 73.34/11.23 Sub-proof #37 shows that the following formulas are inconsistent:
% 73.34/11.23 ----------------------------------------------------------------
% 73.34/11.23 (1) all_64_6 = all_12_0
% 73.34/11.23 (2) all_64_6 = e0
% 73.34/11.23 (3) ~ (all_12_0 = e0)
% 73.34/11.23
% 73.34/11.23 Begin of proof
% 73.34/11.23 |
% 73.34/11.23 | COMBINE_EQS: (1), (2) imply:
% 73.34/11.23 | (4) all_12_0 = e0
% 73.34/11.23 |
% 73.34/11.23 | SIMP: (4) implies:
% 73.34/11.23 | (5) all_12_0 = e0
% 73.34/11.23 |
% 73.34/11.23 | REDUCE: (3), (5) imply:
% 73.34/11.23 | (6) $false
% 73.34/11.23 |
% 73.34/11.23 | CLOSE: (6) is inconsistent.
% 73.34/11.23 |
% 73.34/11.23 End of proof
% 73.34/11.23
% 73.34/11.23 Sub-proof #38 shows that the following formulas are inconsistent:
% 73.34/11.23 ----------------------------------------------------------------
% 73.34/11.23 (1) all_64_13 = e2 | all_64_13 = e1 | all_64_13 = e0
% 73.34/11.23 (2) ~ (all_20_0 = e2)
% 73.34/11.23 (3) all_64_13 = all_20_0
% 73.34/11.23 (4) ~ (all_20_0 = e0)
% 73.34/11.23 (5) ~ (all_20_0 = e1)
% 73.34/11.23
% 73.34/11.23 Begin of proof
% 73.34/11.23 |
% 73.34/11.23 | BETA: splitting (1) gives:
% 73.34/11.23 |
% 73.34/11.23 | Case 1:
% 73.34/11.23 | |
% 73.34/11.23 | | (6) all_64_13 = e2
% 73.34/11.23 | |
% 73.34/11.23 | | COMBINE_EQS: (3), (6) imply:
% 73.34/11.23 | | (7) all_20_0 = e2
% 73.34/11.23 | |
% 73.34/11.23 | | SIMP: (7) implies:
% 73.34/11.23 | | (8) all_20_0 = e2
% 73.34/11.23 | |
% 73.34/11.23 | | REDUCE: (2), (8) imply:
% 73.34/11.23 | | (9) $false
% 73.34/11.23 | |
% 73.34/11.23 | | CLOSE: (9) is inconsistent.
% 73.34/11.23 | |
% 73.34/11.23 | Case 2:
% 73.34/11.23 | |
% 73.34/11.23 | | (10) all_64_13 = e1 | all_64_13 = e0
% 73.34/11.23 | |
% 73.34/11.23 | | REF_CLOSE: (3), (4), (5), (10) are inconsistent by sub-proof #39.
% 73.34/11.23 | |
% 73.34/11.23 | End of split
% 73.34/11.23 |
% 73.34/11.23 End of proof
% 73.34/11.23
% 73.34/11.23 Sub-proof #39 shows that the following formulas are inconsistent:
% 73.34/11.23 ----------------------------------------------------------------
% 73.34/11.23 (1) all_64_13 = e1 | all_64_13 = e0
% 73.34/11.24 (2) all_64_13 = all_20_0
% 73.34/11.24 (3) ~ (all_20_0 = e1)
% 73.34/11.24 (4) ~ (all_20_0 = e0)
% 73.34/11.24
% 73.34/11.24 Begin of proof
% 73.34/11.24 |
% 73.34/11.24 | BETA: splitting (1) gives:
% 73.34/11.24 |
% 73.34/11.24 | Case 1:
% 73.34/11.24 | |
% 73.34/11.24 | | (5) all_64_13 = e1
% 73.34/11.24 | |
% 73.34/11.24 | | COMBINE_EQS: (2), (5) imply:
% 73.34/11.24 | | (6) all_20_0 = e1
% 73.34/11.24 | |
% 73.34/11.24 | | REDUCE: (3), (6) imply:
% 73.34/11.24 | | (7) $false
% 73.34/11.24 | |
% 73.34/11.24 | | CLOSE: (7) is inconsistent.
% 73.34/11.24 | |
% 73.34/11.24 | Case 2:
% 73.34/11.24 | |
% 73.34/11.24 | | (8) all_64_13 = e0
% 73.34/11.24 | |
% 73.34/11.24 | | COMBINE_EQS: (2), (8) imply:
% 73.34/11.24 | | (9) all_20_0 = e0
% 73.34/11.24 | |
% 73.34/11.24 | | REDUCE: (4), (9) imply:
% 73.34/11.24 | | (10) $false
% 73.34/11.24 | |
% 73.34/11.24 | | CLOSE: (10) is inconsistent.
% 73.34/11.24 | |
% 73.34/11.24 | End of split
% 73.34/11.24 |
% 73.34/11.24 End of proof
% 73.34/11.24
% 73.34/11.24 Sub-proof #40 shows that the following formulas are inconsistent:
% 73.34/11.24 ----------------------------------------------------------------
% 73.34/11.24 (1) e3 = e0
% 73.34/11.24 (2) e3 = e2
% 73.34/11.24 (3) e3 = e1
% 73.34/11.24 (4) ~ (e1 = e0)
% 73.34/11.24
% 73.34/11.24 Begin of proof
% 73.34/11.24 |
% 73.34/11.24 | COMBINE_EQS: (1), (2) imply:
% 73.34/11.24 | (5) e2 = e0
% 73.34/11.24 |
% 73.34/11.24 | COMBINE_EQS: (2), (3) imply:
% 73.34/11.24 | (6) e2 = e1
% 73.34/11.24 |
% 73.34/11.24 | COMBINE_EQS: (5), (6) imply:
% 73.34/11.24 | (7) e1 = e0
% 73.34/11.24 |
% 73.34/11.24 | REDUCE: (4), (7) imply:
% 73.34/11.24 | (8) $false
% 73.34/11.24 |
% 73.34/11.24 | CLOSE: (8) is inconsistent.
% 73.34/11.24 |
% 73.34/11.24 End of proof
% 73.34/11.24
% 73.34/11.24 Sub-proof #41 shows that the following formulas are inconsistent:
% 73.34/11.24 ----------------------------------------------------------------
% 73.34/11.24 (1) all_64_6 = all_12_0
% 73.34/11.24 (2) all_64_6 = e2
% 73.34/11.24 (3) ~ (all_12_0 = e2)
% 73.34/11.24
% 73.34/11.24 Begin of proof
% 73.34/11.24 |
% 73.34/11.24 | COMBINE_EQS: (1), (2) imply:
% 73.34/11.24 | (4) all_12_0 = e2
% 73.34/11.24 |
% 73.34/11.24 | SIMP: (4) implies:
% 73.34/11.24 | (5) all_12_0 = e2
% 73.34/11.24 |
% 73.34/11.24 | REDUCE: (3), (5) imply:
% 73.34/11.24 | (6) $false
% 73.34/11.24 |
% 73.34/11.24 | CLOSE: (6) is inconsistent.
% 73.34/11.24 |
% 73.34/11.24 End of proof
% 73.34/11.24
% 73.34/11.24 Sub-proof #42 shows that the following formulas are inconsistent:
% 73.34/11.24 ----------------------------------------------------------------
% 73.34/11.24 (1) all_64_12 = all_28_0
% 73.34/11.24 (2) all_64_12 = e2
% 73.34/11.24 (3) ~ (all_28_0 = e2)
% 73.34/11.24
% 73.34/11.24 Begin of proof
% 73.34/11.24 |
% 73.34/11.24 | COMBINE_EQS: (1), (2) imply:
% 73.34/11.24 | (4) all_28_0 = e2
% 73.34/11.24 |
% 73.34/11.24 | SIMP: (4) implies:
% 73.34/11.24 | (5) all_28_0 = e2
% 73.34/11.24 |
% 73.34/11.24 | REDUCE: (3), (5) imply:
% 73.34/11.24 | (6) $false
% 73.34/11.24 |
% 73.34/11.24 | CLOSE: (6) is inconsistent.
% 73.34/11.24 |
% 73.34/11.24 End of proof
% 73.34/11.24
% 73.34/11.24 Sub-proof #43 shows that the following formulas are inconsistent:
% 73.34/11.24 ----------------------------------------------------------------
% 73.34/11.24 (1) all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 & all_56_3 = e1
% 73.34/11.24 (2) all_56_1 = all_10_1
% 73.34/11.24 (3) ~ (all_10_1 = e1)
% 73.34/11.24
% 73.34/11.24 Begin of proof
% 73.34/11.24 |
% 73.34/11.24 | ALPHA: (1) implies:
% 73.34/11.24 | (4) all_56_1 = e1
% 73.34/11.24 |
% 73.34/11.24 | COMBINE_EQS: (2), (4) imply:
% 73.34/11.24 | (5) all_10_1 = e1
% 73.34/11.24 |
% 73.34/11.24 | REDUCE: (3), (5) imply:
% 73.34/11.24 | (6) $false
% 73.34/11.24 |
% 73.34/11.24 | CLOSE: (6) is inconsistent.
% 73.34/11.24 |
% 73.34/11.24 End of proof
% 73.34/11.24
% 73.34/11.24 Sub-proof #44 shows that the following formulas are inconsistent:
% 73.34/11.24 ----------------------------------------------------------------
% 73.34/11.24 (1) (all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 & all_56_3 = e3) |
% 73.34/11.24 (all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 & all_56_3 = e2)
% 73.34/11.24 (2) all_56_3 = all_8_1
% 73.34/11.24 (3) ~ (all_8_1 = e3)
% 73.34/11.24 (4) ~ (all_8_1 = e2)
% 73.34/11.24
% 73.34/11.24 Begin of proof
% 73.34/11.24 |
% 73.34/11.24 | BETA: splitting (1) gives:
% 73.34/11.24 |
% 73.34/11.24 | Case 1:
% 73.34/11.24 | |
% 73.34/11.24 | | (5) all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 & all_56_3 = e3
% 73.34/11.24 | |
% 73.34/11.24 | | REF_CLOSE: (2), (3), (5) are inconsistent by sub-proof #45.
% 73.34/11.24 | |
% 73.34/11.24 | Case 2:
% 73.34/11.24 | |
% 73.34/11.24 | | (6) all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 & all_56_3 = e2
% 73.34/11.24 | |
% 73.34/11.24 | | ALPHA: (6) implies:
% 73.34/11.24 | | (7) all_56_3 = e2
% 73.34/11.24 | |
% 73.34/11.24 | | COMBINE_EQS: (2), (7) imply:
% 73.34/11.24 | | (8) all_8_1 = e2
% 73.34/11.24 | |
% 73.34/11.24 | | REDUCE: (4), (8) imply:
% 73.34/11.24 | | (9) $false
% 73.34/11.24 | |
% 73.34/11.24 | | CLOSE: (9) is inconsistent.
% 73.34/11.24 | |
% 73.34/11.24 | End of split
% 73.34/11.24 |
% 73.34/11.24 End of proof
% 73.34/11.24
% 73.34/11.24 Sub-proof #45 shows that the following formulas are inconsistent:
% 73.34/11.24 ----------------------------------------------------------------
% 73.34/11.24 (1) all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 & all_56_3 = e3
% 73.34/11.24 (2) all_56_3 = all_8_1
% 73.34/11.24 (3) ~ (all_8_1 = e3)
% 73.34/11.24
% 73.34/11.24 Begin of proof
% 73.34/11.24 |
% 73.34/11.24 | ALPHA: (1) implies:
% 73.34/11.24 | (4) all_56_3 = e3
% 73.34/11.24 |
% 73.34/11.24 | COMBINE_EQS: (2), (4) imply:
% 73.34/11.24 | (5) all_8_1 = e3
% 73.34/11.24 |
% 73.34/11.24 | REDUCE: (3), (5) imply:
% 73.34/11.24 | (6) $false
% 73.34/11.24 |
% 73.34/11.24 | CLOSE: (6) is inconsistent.
% 73.34/11.24 |
% 73.34/11.24 End of proof
% 73.34/11.24
% 73.34/11.24 Sub-proof #46 shows that the following formulas are inconsistent:
% 73.34/11.24 ----------------------------------------------------------------
% 73.34/11.24 (1) all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 & all_56_3 = e1
% 73.34/11.24 (2) all_56_0 = all_4_1
% 73.34/11.24 (3) ~ (all_4_1 = e1)
% 73.34/11.24
% 73.34/11.24 Begin of proof
% 73.34/11.24 |
% 73.34/11.24 | ALPHA: (1) implies:
% 73.34/11.24 | (4) all_56_0 = e1
% 73.34/11.24 |
% 73.34/11.24 | COMBINE_EQS: (2), (4) imply:
% 73.34/11.24 | (5) all_4_1 = e1
% 73.34/11.24 |
% 73.34/11.24 | REDUCE: (3), (5) imply:
% 73.34/11.24 | (6) $false
% 73.34/11.24 |
% 73.34/11.24 | CLOSE: (6) is inconsistent.
% 73.34/11.24 |
% 73.34/11.24 End of proof
% 73.34/11.24
% 73.34/11.24 Sub-proof #47 shows that the following formulas are inconsistent:
% 73.34/11.24 ----------------------------------------------------------------
% 73.34/11.24 (1) (all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 & all_56_3 = e3) |
% 73.34/11.24 (all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 & all_56_3 = e2) |
% 73.34/11.24 (all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 & all_56_3 = e1) |
% 73.34/11.24 (all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 & all_56_3 = e0)
% 73.34/11.24 (2) all_64_14 = all_42_0
% 73.34/11.24 (3) ~ (all_22_0 = all_12_0)
% 73.34/11.24 (4) ~ (all_42_0 = all_12_0)
% 73.34/11.24 (5) ~ (all_50_0 = e2) | ~ (all_50_1 = e3)
% 73.34/11.24 (6) all_64_4 = e3 | all_64_4 = e2 | all_64_4 = e1 | all_64_4 = e0
% 73.34/11.24 (7) ~ (all_22_0 = all_6_0)
% 73.34/11.24 (8) all_50_1 = all_12_1
% 73.34/11.24 (9) ~ (all_12_0 = e0)
% 73.34/11.24 (10) ~ (e3 = e2)
% 73.34/11.24 (11) all_64_7 = e3 | all_64_7 = e2 | all_64_7 = e1 | all_64_7 = e0
% 73.34/11.24 (12) ~ (e3 = e0)
% 73.34/11.24 (13) ~ (all_20_0 = e2)
% 73.34/11.24 (14) ~ (all_22_0 = all_8_1)
% 73.34/11.24 (15) ~ (all_12_0 = all_12_1)
% 73.34/11.24 (16) all_56_3 = all_8_1
% 73.34/11.24 (17) ~ (e3 = e1)
% 73.34/11.24 (18) ~ (all_6_0 = all_4_1)
% 73.34/11.24 (19) ~ (all_22_0 = e1)
% 73.34/11.24 (20) ~ (all_42_0 = all_8_1)
% 73.34/11.24 (21) all_56_2 = all_12_1
% 73.34/11.24 (22) all_64_13 = all_20_0
% 73.34/11.24 (23) ~ (all_6_0 = e1)
% 73.34/11.24 (24) all_64_14 = e3 | all_64_14 = e2 | all_64_14 = e1 | all_64_14 = e0
% 73.34/11.24 (25) all_64_6 = all_12_0
% 73.34/11.24 (26) all_64_4 = all_6_0
% 73.34/11.24 (27) all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 & all_56_3 = e3
% 73.34/11.24 (28) ~ (all_12_0 = all_6_0)
% 73.34/11.24 (29) ~ (all_20_0 = all_8_1)
% 73.34/11.24 (30) all_64_6 = e3 | all_64_6 = e2 | all_64_6 = e1 | all_64_6 = e0
% 73.34/11.24 (31) ~ (all_20_0 = e1)
% 73.34/11.24 (32) all_50_0 = all_42_0
% 73.34/11.24 (33) all_64_7 = all_22_0
% 73.34/11.24 (34) all_56_0 = all_4_1
% 73.34/11.24 (35) all_64_13 = e3 | all_64_13 = e2 | all_64_13 = e1 | all_64_13 = e0
% 73.34/11.24 (36) ~ (all_42_0 = all_20_0)
% 73.34/11.24
% 73.34/11.24 Begin of proof
% 73.34/11.24 |
% 73.34/11.24 | ALPHA: (27) implies:
% 73.34/11.24 | (37) all_56_1 = e3
% 73.34/11.24 |
% 73.34/11.24 | BETA: splitting (1) gives:
% 73.34/11.24 |
% 73.34/11.24 | Case 1:
% 73.34/11.24 | |
% 73.34/11.24 | | (38) (all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 & all_56_3 = e3) |
% 73.34/11.24 | | (all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 & all_56_3 = e2)
% 73.34/11.24 | |
% 73.34/11.24 | | BETA: splitting (38) gives:
% 73.34/11.24 | |
% 73.34/11.24 | | Case 1:
% 73.34/11.24 | | |
% 73.34/11.24 | | |
% 73.34/11.24 | | | ALPHA: (27) implies:
% 73.34/11.24 | | | (39) all_56_3 = e3
% 73.34/11.24 | | | (40) all_56_2 = e3
% 73.34/11.24 | | | (41) all_56_0 = e3
% 73.34/11.24 | | |
% 73.34/11.24 | | | COMBINE_EQS: (34), (41) imply:
% 73.34/11.24 | | | (42) all_4_1 = e3
% 73.34/11.24 | | |
% 73.34/11.24 | | | COMBINE_EQS: (21), (40) imply:
% 73.34/11.24 | | | (43) all_12_1 = e3
% 73.34/11.24 | | |
% 73.34/11.24 | | | COMBINE_EQS: (16), (39) imply:
% 73.34/11.24 | | | (44) all_8_1 = e3
% 73.34/11.24 | | |
% 73.34/11.24 | | | SIMP: (44) implies:
% 73.34/11.24 | | | (45) all_8_1 = e3
% 73.34/11.24 | | |
% 73.34/11.24 | | | COMBINE_EQS: (8), (43) imply:
% 73.34/11.24 | | | (46) all_50_1 = e3
% 73.34/11.24 | | |
% 73.34/11.24 | | | REDUCE: (20), (45) imply:
% 73.34/11.24 | | | (47) ~ (all_42_0 = e3)
% 73.34/11.24 | | |
% 73.34/11.24 | | | REDUCE: (14), (45) imply:
% 73.34/11.24 | | | (48) ~ (all_22_0 = e3)
% 73.34/11.24 | | |
% 73.34/11.24 | | | REDUCE: (29), (45) imply:
% 73.34/11.24 | | | (49) ~ (all_20_0 = e3)
% 73.34/11.24 | | |
% 73.34/11.24 | | | REDUCE: (15), (43) imply:
% 73.34/11.24 | | | (50) ~ (all_12_0 = e3)
% 73.34/11.24 | | |
% 73.34/11.24 | | | REDUCE: (18), (42) imply:
% 73.34/11.24 | | | (51) ~ (all_6_0 = e3)
% 73.34/11.24 | | |
% 73.34/11.24 | | | BETA: splitting (5) gives:
% 73.34/11.24 | | |
% 73.34/11.24 | | | Case 1:
% 73.34/11.24 | | | |
% 73.34/11.24 | | | | (52) ~ (all_50_0 = e2)
% 73.34/11.24 | | | |
% 73.34/11.24 | | | | REDUCE: (32), (52) imply:
% 73.34/11.24 | | | | (53) ~ (all_42_0 = e2)
% 73.34/11.24 | | | |
% 73.34/11.24 | | | | BETA: splitting (35) gives:
% 73.34/11.24 | | | |
% 73.34/11.24 | | | | Case 1:
% 73.34/11.24 | | | | |
% 73.34/11.24 | | | | | (54) all_64_13 = e3
% 73.34/11.24 | | | | |
% 73.34/11.24 | | | | | COMBINE_EQS: (22), (54) imply:
% 73.34/11.24 | | | | | (55) all_20_0 = e3
% 73.34/11.24 | | | | |
% 73.34/11.24 | | | | | REDUCE: (49), (55) imply:
% 73.34/11.24 | | | | | (56) $false
% 73.34/11.24 | | | | |
% 73.34/11.24 | | | | | CLOSE: (56) is inconsistent.
% 73.34/11.24 | | | | |
% 73.34/11.24 | | | | Case 2:
% 73.34/11.24 | | | | |
% 73.34/11.24 | | | | | (57) all_64_13 = e2 | all_64_13 = e1 | all_64_13 = e0
% 73.34/11.24 | | | | |
% 73.34/11.24 | | | | | BETA: splitting (57) gives:
% 73.34/11.24 | | | | |
% 73.34/11.24 | | | | | Case 1:
% 73.34/11.24 | | | | | |
% 73.34/11.24 | | | | | | (58) all_64_13 = e2
% 73.34/11.24 | | | | | |
% 73.34/11.24 | | | | | | COMBINE_EQS: (22), (58) imply:
% 73.34/11.24 | | | | | | (59) all_20_0 = e2
% 73.34/11.24 | | | | | |
% 73.34/11.24 | | | | | | REDUCE: (13), (59) imply:
% 73.34/11.24 | | | | | | (60) $false
% 73.34/11.24 | | | | | |
% 73.34/11.24 | | | | | | CLOSE: (60) is inconsistent.
% 73.34/11.24 | | | | | |
% 73.34/11.24 | | | | | Case 2:
% 73.34/11.24 | | | | | |
% 73.34/11.24 | | | | | | (61) all_64_13 = e1 | all_64_13 = e0
% 73.34/11.24 | | | | | |
% 73.34/11.24 | | | | | | BETA: splitting (61) gives:
% 73.34/11.24 | | | | | |
% 73.34/11.24 | | | | | | Case 1:
% 73.34/11.24 | | | | | | |
% 73.34/11.24 | | | | | | | (62) all_64_13 = e1
% 73.34/11.24 | | | | | | |
% 73.34/11.24 | | | | | | | COMBINE_EQS: (22), (62) imply:
% 73.34/11.24 | | | | | | | (63) all_20_0 = e1
% 73.34/11.24 | | | | | | |
% 73.34/11.24 | | | | | | | REDUCE: (31), (63) imply:
% 73.34/11.24 | | | | | | | (64) $false
% 73.34/11.24 | | | | | | |
% 73.34/11.24 | | | | | | | CLOSE: (64) is inconsistent.
% 73.34/11.24 | | | | | | |
% 73.34/11.24 | | | | | | Case 2:
% 73.34/11.24 | | | | | | |
% 73.34/11.24 | | | | | | | (65) all_64_13 = e0
% 73.34/11.24 | | | | | | |
% 73.34/11.24 | | | | | | | COMBINE_EQS: (22), (65) imply:
% 73.34/11.24 | | | | | | | (66) all_20_0 = e0
% 73.34/11.24 | | | | | | |
% 73.34/11.24 | | | | | | | REDUCE: (36), (66) imply:
% 73.34/11.24 | | | | | | | (67) ~ (all_42_0 = e0)
% 73.34/11.24 | | | | | | |
% 73.34/11.24 | | | | | | | BETA: splitting (24) gives:
% 73.34/11.24 | | | | | | |
% 73.34/11.24 | | | | | | | Case 1:
% 73.34/11.24 | | | | | | | |
% 73.34/11.24 | | | | | | | | (68) all_64_14 = e3
% 73.34/11.24 | | | | | | | |
% 73.34/11.24 | | | | | | | | REF_CLOSE: (2), (47), (68) are inconsistent by sub-proof #59.
% 73.34/11.24 | | | | | | | |
% 73.34/11.24 | | | | | | | Case 2:
% 73.34/11.24 | | | | | | | |
% 73.34/11.24 | | | | | | | | (69) all_64_14 = e2 | all_64_14 = e1 | all_64_14 = e0
% 73.34/11.24 | | | | | | | |
% 73.34/11.24 | | | | | | | | BETA: splitting (69) gives:
% 73.34/11.24 | | | | | | | |
% 73.34/11.24 | | | | | | | | Case 1:
% 73.34/11.24 | | | | | | | | |
% 73.34/11.24 | | | | | | | | | (70) all_64_14 = e2
% 73.34/11.24 | | | | | | | | |
% 73.34/11.24 | | | | | | | | | REF_CLOSE: (2), (53), (70) are inconsistent by sub-proof #49.
% 73.34/11.24 | | | | | | | | |
% 73.34/11.24 | | | | | | | | Case 2:
% 73.34/11.24 | | | | | | | | |
% 73.34/11.24 | | | | | | | | | (71) all_64_14 = e1 | all_64_14 = e0
% 73.34/11.24 | | | | | | | | |
% 73.34/11.24 | | | | | | | | | BETA: splitting (71) gives:
% 73.34/11.24 | | | | | | | | |
% 73.34/11.24 | | | | | | | | | Case 1:
% 73.34/11.24 | | | | | | | | | |
% 73.34/11.24 | | | | | | | | | | (72) all_64_14 = e1
% 73.34/11.24 | | | | | | | | | |
% 73.34/11.24 | | | | | | | | | | COMBINE_EQS: (2), (72) imply:
% 73.34/11.24 | | | | | | | | | | (73) all_42_0 = e1
% 73.34/11.24 | | | | | | | | | |
% 73.34/11.24 | | | | | | | | | | SIMP: (73) implies:
% 73.34/11.24 | | | | | | | | | | (74) all_42_0 = e1
% 73.34/11.24 | | | | | | | | | |
% 73.34/11.24 | | | | | | | | | | REDUCE: (4), (74) imply:
% 73.34/11.24 | | | | | | | | | | (75) ~ (all_12_0 = e1)
% 73.34/11.24 | | | | | | | | | |
% 73.34/11.24 | | | | | | | | | | SIMP: (75) implies:
% 73.34/11.24 | | | | | | | | | | (76) ~ (all_12_0 = e1)
% 73.34/11.24 | | | | | | | | | |
% 73.34/11.24 | | | | | | | | | | BETA: splitting (30) gives:
% 73.34/11.24 | | | | | | | | | |
% 73.34/11.24 | | | | | | | | | | Case 1:
% 73.34/11.24 | | | | | | | | | | |
% 73.34/11.24 | | | | | | | | | | | (77) all_64_6 = e3
% 73.34/11.24 | | | | | | | | | | |
% 73.34/11.24 | | | | | | | | | | | COMBINE_EQS: (25), (77) imply:
% 73.34/11.24 | | | | | | | | | | | (78) all_12_0 = e3
% 73.34/11.24 | | | | | | | | | | |
% 73.34/11.24 | | | | | | | | | | | REDUCE: (50), (78) imply:
% 73.34/11.24 | | | | | | | | | | | (79) $false
% 73.34/11.24 | | | | | | | | | | |
% 73.34/11.24 | | | | | | | | | | | CLOSE: (79) is inconsistent.
% 73.34/11.24 | | | | | | | | | | |
% 73.34/11.24 | | | | | | | | | | Case 2:
% 73.34/11.24 | | | | | | | | | | |
% 73.34/11.24 | | | | | | | | | | | (80) all_64_6 = e2 | all_64_6 = e1 | all_64_6 = e0
% 73.34/11.24 | | | | | | | | | | |
% 73.34/11.24 | | | | | | | | | | | BETA: splitting (80) gives:
% 73.34/11.24 | | | | | | | | | | |
% 73.34/11.24 | | | | | | | | | | | Case 1:
% 73.34/11.24 | | | | | | | | | | | |
% 73.34/11.24 | | | | | | | | | | | | (81) all_64_6 = e2
% 73.34/11.24 | | | | | | | | | | | |
% 73.34/11.24 | | | | | | | | | | | | COMBINE_EQS: (25), (81) imply:
% 73.34/11.24 | | | | | | | | | | | | (82) all_12_0 = e2
% 73.34/11.24 | | | | | | | | | | | |
% 73.34/11.24 | | | | | | | | | | | | REDUCE: (3), (82) imply:
% 73.34/11.24 | | | | | | | | | | | | (83) ~ (all_22_0 = e2)
% 73.34/11.24 | | | | | | | | | | | |
% 73.34/11.24 | | | | | | | | | | | | REDUCE: (28), (82) imply:
% 73.34/11.24 | | | | | | | | | | | | (84) ~ (all_6_0 = e2)
% 73.34/11.24 | | | | | | | | | | | |
% 73.34/11.24 | | | | | | | | | | | | SIMP: (84) implies:
% 73.34/11.24 | | | | | | | | | | | | (85) ~ (all_6_0 = e2)
% 73.34/11.24 | | | | | | | | | | | |
% 73.34/11.24 | | | | | | | | | | | | BETA: splitting (11) gives:
% 73.34/11.24 | | | | | | | | | | | |
% 73.34/11.24 | | | | | | | | | | | | Case 1:
% 73.34/11.24 | | | | | | | | | | | | |
% 73.34/11.24 | | | | | | | | | | | | | (86) all_64_7 = e3
% 73.34/11.24 | | | | | | | | | | | | |
% 73.34/11.24 | | | | | | | | | | | | | COMBINE_EQS: (33), (86) imply:
% 73.34/11.24 | | | | | | | | | | | | | (87) all_22_0 = e3
% 73.34/11.24 | | | | | | | | | | | | |
% 73.34/11.24 | | | | | | | | | | | | | REDUCE: (48), (87) imply:
% 73.34/11.24 | | | | | | | | | | | | | (88) $false
% 73.34/11.24 | | | | | | | | | | | | |
% 73.34/11.24 | | | | | | | | | | | | | CLOSE: (88) is inconsistent.
% 73.34/11.24 | | | | | | | | | | | | |
% 73.34/11.24 | | | | | | | | | | | | Case 2:
% 73.34/11.24 | | | | | | | | | | | | |
% 73.34/11.24 | | | | | | | | | | | | | (89) all_64_7 = e2 | all_64_7 = e1 | all_64_7 = e0
% 73.34/11.24 | | | | | | | | | | | | |
% 73.34/11.24 | | | | | | | | | | | | | BETA: splitting (89) gives:
% 73.34/11.24 | | | | | | | | | | | | |
% 73.34/11.24 | | | | | | | | | | | | | Case 1:
% 73.34/11.24 | | | | | | | | | | | | | |
% 73.34/11.24 | | | | | | | | | | | | | | (90) all_64_7 = e2
% 73.34/11.24 | | | | | | | | | | | | | |
% 73.34/11.24 | | | | | | | | | | | | | | COMBINE_EQS: (33), (90) imply:
% 73.34/11.25 | | | | | | | | | | | | | | (91) all_22_0 = e2
% 73.34/11.25 | | | | | | | | | | | | | |
% 73.34/11.25 | | | | | | | | | | | | | | REDUCE: (83), (91) imply:
% 73.34/11.25 | | | | | | | | | | | | | | (92) $false
% 73.34/11.25 | | | | | | | | | | | | | |
% 73.34/11.25 | | | | | | | | | | | | | | CLOSE: (92) is inconsistent.
% 73.34/11.25 | | | | | | | | | | | | | |
% 73.34/11.25 | | | | | | | | | | | | | Case 2:
% 73.34/11.25 | | | | | | | | | | | | | |
% 73.34/11.25 | | | | | | | | | | | | | | (93) all_64_7 = e1 | all_64_7 = e0
% 73.34/11.25 | | | | | | | | | | | | | |
% 73.34/11.25 | | | | | | | | | | | | | | BETA: splitting (93) gives:
% 73.34/11.25 | | | | | | | | | | | | | |
% 73.34/11.25 | | | | | | | | | | | | | | Case 1:
% 73.34/11.25 | | | | | | | | | | | | | | |
% 73.34/11.25 | | | | | | | | | | | | | | | (94) all_64_7 = e1
% 73.34/11.25 | | | | | | | | | | | | | | |
% 73.34/11.25 | | | | | | | | | | | | | | | COMBINE_EQS: (33), (94) imply:
% 73.34/11.25 | | | | | | | | | | | | | | | (95) all_22_0 = e1
% 73.34/11.25 | | | | | | | | | | | | | | |
% 73.34/11.25 | | | | | | | | | | | | | | | REDUCE: (19), (95) imply:
% 73.34/11.25 | | | | | | | | | | | | | | | (96) $false
% 73.34/11.25 | | | | | | | | | | | | | | |
% 73.34/11.25 | | | | | | | | | | | | | | | CLOSE: (96) is inconsistent.
% 73.34/11.25 | | | | | | | | | | | | | | |
% 73.34/11.25 | | | | | | | | | | | | | | Case 2:
% 73.34/11.25 | | | | | | | | | | | | | | |
% 73.34/11.25 | | | | | | | | | | | | | | | (97) all_64_7 = e0
% 73.34/11.25 | | | | | | | | | | | | | | |
% 73.34/11.25 | | | | | | | | | | | | | | | COMBINE_EQS: (33), (97) imply:
% 73.34/11.25 | | | | | | | | | | | | | | | (98) all_22_0 = e0
% 73.34/11.25 | | | | | | | | | | | | | | |
% 73.34/11.25 | | | | | | | | | | | | | | | REDUCE: (7), (98) imply:
% 73.34/11.25 | | | | | | | | | | | | | | | (99) ~ (all_6_0 = e0)
% 73.34/11.25 | | | | | | | | | | | | | | |
% 73.34/11.25 | | | | | | | | | | | | | | | SIMP: (99) implies:
% 73.34/11.25 | | | | | | | | | | | | | | | (100) ~ (all_6_0 = e0)
% 73.34/11.25 | | | | | | | | | | | | | | |
% 73.34/11.25 | | | | | | | | | | | | | | | REF_CLOSE: (6), (23), (26), (51), (85), (100) are
% 73.34/11.25 | | | | | | | | | | | | | | | inconsistent by sub-proof #64.
% 73.34/11.25 | | | | | | | | | | | | | | |
% 73.34/11.25 | | | | | | | | | | | | | | End of split
% 73.34/11.25 | | | | | | | | | | | | | |
% 73.34/11.25 | | | | | | | | | | | | | End of split
% 73.34/11.25 | | | | | | | | | | | | |
% 73.34/11.25 | | | | | | | | | | | | End of split
% 73.34/11.25 | | | | | | | | | | | |
% 73.34/11.25 | | | | | | | | | | | Case 2:
% 73.34/11.25 | | | | | | | | | | | |
% 73.34/11.25 | | | | | | | | | | | | (101) all_64_6 = e1 | all_64_6 = e0
% 73.34/11.25 | | | | | | | | | | | |
% 73.34/11.25 | | | | | | | | | | | | REF_CLOSE: (9), (25), (76), (101) are inconsistent by
% 73.34/11.25 | | | | | | | | | | | | sub-proof #88.
% 73.34/11.25 | | | | | | | | | | | |
% 73.34/11.25 | | | | | | | | | | | End of split
% 73.34/11.25 | | | | | | | | | | |
% 73.34/11.25 | | | | | | | | | | End of split
% 73.34/11.25 | | | | | | | | | |
% 73.34/11.25 | | | | | | | | | Case 2:
% 73.34/11.25 | | | | | | | | | |
% 73.34/11.25 | | | | | | | | | | (102) all_64_14 = e0
% 73.34/11.25 | | | | | | | | | |
% 73.34/11.25 | | | | | | | | | | REF_CLOSE: (2), (67), (102) are inconsistent by sub-proof
% 73.34/11.25 | | | | | | | | | | #48.
% 73.34/11.25 | | | | | | | | | |
% 73.34/11.25 | | | | | | | | | End of split
% 73.34/11.25 | | | | | | | | |
% 73.34/11.25 | | | | | | | | End of split
% 73.34/11.25 | | | | | | | |
% 73.34/11.25 | | | | | | | End of split
% 73.34/11.25 | | | | | | |
% 73.34/11.25 | | | | | | End of split
% 73.34/11.25 | | | | | |
% 73.34/11.25 | | | | | End of split
% 73.34/11.25 | | | | |
% 73.34/11.25 | | | | End of split
% 73.34/11.25 | | | |
% 73.34/11.25 | | | Case 2:
% 73.34/11.25 | | | |
% 73.34/11.25 | | | | (103) ~ (all_50_1 = e3)
% 73.34/11.25 | | | |
% 73.34/11.25 | | | | REDUCE: (46), (103) imply:
% 73.34/11.25 | | | | (104) $false
% 73.34/11.25 | | | |
% 73.34/11.25 | | | | CLOSE: (104) is inconsistent.
% 73.34/11.25 | | | |
% 73.34/11.25 | | | End of split
% 73.34/11.25 | | |
% 73.34/11.25 | | Case 2:
% 73.34/11.25 | | |
% 73.34/11.25 | | | (105) all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 & all_56_3 = e2
% 73.34/11.25 | | |
% 73.34/11.25 | | | ALPHA: (105) implies:
% 73.34/11.25 | | | (106) all_56_1 = e2
% 73.34/11.25 | | |
% 73.34/11.25 | | | COMBINE_EQS: (37), (106) imply:
% 73.34/11.25 | | | (107) e3 = e2
% 73.34/11.25 | | |
% 73.34/11.25 | | | SIMP: (107) implies:
% 73.34/11.25 | | | (108) e3 = e2
% 73.34/11.25 | | |
% 73.34/11.25 | | | REDUCE: (10), (108) imply:
% 73.34/11.25 | | | (109) $false
% 73.34/11.25 | | |
% 73.34/11.25 | | | CLOSE: (109) is inconsistent.
% 73.34/11.25 | | |
% 73.34/11.25 | | End of split
% 73.34/11.25 | |
% 73.34/11.25 | Case 2:
% 73.34/11.25 | |
% 73.34/11.25 | | (110) (all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 & all_56_3 = e1) |
% 73.34/11.25 | | (all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 & all_56_3 = e0)
% 73.34/11.25 | |
% 73.34/11.25 | | BETA: splitting (110) gives:
% 73.34/11.25 | |
% 73.34/11.25 | | Case 1:
% 73.34/11.25 | | |
% 73.34/11.25 | | | (111) all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 & all_56_3 = e1
% 73.34/11.25 | | |
% 73.34/11.25 | | | ALPHA: (111) implies:
% 73.34/11.25 | | | (112) all_56_1 = e1
% 73.34/11.25 | | |
% 73.34/11.25 | | | COMBINE_EQS: (37), (112) imply:
% 73.34/11.25 | | | (113) e3 = e1
% 73.34/11.25 | | |
% 73.34/11.25 | | | SIMP: (113) implies:
% 73.34/11.25 | | | (114) e3 = e1
% 73.34/11.25 | | |
% 73.34/11.25 | | | REDUCE: (17), (114) imply:
% 73.34/11.25 | | | (115) $false
% 73.34/11.25 | | |
% 73.34/11.25 | | | CLOSE: (115) is inconsistent.
% 73.34/11.25 | | |
% 73.34/11.25 | | Case 2:
% 73.34/11.25 | | |
% 73.34/11.25 | | | (116) all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 & all_56_3 = e0
% 73.34/11.25 | | |
% 73.34/11.25 | | | ALPHA: (116) implies:
% 73.34/11.25 | | | (117) all_56_1 = e0
% 73.34/11.25 | | |
% 73.34/11.25 | | | COMBINE_EQS: (37), (117) imply:
% 73.34/11.25 | | | (118) e3 = e0
% 73.34/11.25 | | |
% 73.34/11.25 | | | SIMP: (118) implies:
% 73.34/11.25 | | | (119) e3 = e0
% 73.34/11.25 | | |
% 73.34/11.25 | | | REDUCE: (12), (119) imply:
% 73.34/11.25 | | | (120) $false
% 73.34/11.25 | | |
% 73.34/11.25 | | | CLOSE: (120) is inconsistent.
% 73.34/11.25 | | |
% 73.34/11.25 | | End of split
% 73.34/11.25 | |
% 73.34/11.25 | End of split
% 73.34/11.25 |
% 73.34/11.25 End of proof
% 73.34/11.25
% 73.34/11.25 Sub-proof #48 shows that the following formulas are inconsistent:
% 73.34/11.25 ----------------------------------------------------------------
% 73.34/11.25 (1) all_64_14 = all_42_0
% 73.34/11.25 (2) all_64_14 = e0
% 73.34/11.25 (3) ~ (all_42_0 = e0)
% 73.34/11.25
% 73.34/11.25 Begin of proof
% 73.34/11.25 |
% 73.34/11.25 | COMBINE_EQS: (1), (2) imply:
% 73.34/11.25 | (4) all_42_0 = e0
% 73.34/11.25 |
% 73.34/11.25 | SIMP: (4) implies:
% 73.34/11.25 | (5) all_42_0 = e0
% 73.34/11.25 |
% 73.34/11.25 | REDUCE: (3), (5) imply:
% 73.34/11.25 | (6) $false
% 73.34/11.25 |
% 73.34/11.25 | CLOSE: (6) is inconsistent.
% 73.34/11.25 |
% 73.34/11.25 End of proof
% 73.34/11.25
% 73.34/11.25 Sub-proof #49 shows that the following formulas are inconsistent:
% 73.34/11.25 ----------------------------------------------------------------
% 73.34/11.25 (1) all_64_14 = all_42_0
% 73.34/11.25 (2) all_64_14 = e2
% 73.34/11.25 (3) ~ (all_42_0 = e2)
% 73.34/11.25
% 73.34/11.25 Begin of proof
% 73.34/11.25 |
% 73.34/11.25 | COMBINE_EQS: (1), (2) imply:
% 73.34/11.25 | (4) all_42_0 = e2
% 73.34/11.25 |
% 73.34/11.25 | SIMP: (4) implies:
% 73.34/11.25 | (5) all_42_0 = e2
% 73.34/11.25 |
% 73.34/11.25 | REDUCE: (3), (5) imply:
% 73.34/11.25 | (6) $false
% 73.34/11.25 |
% 73.34/11.25 | CLOSE: (6) is inconsistent.
% 73.34/11.25 |
% 73.34/11.25 End of proof
% 73.34/11.25
% 73.34/11.25 Sub-proof #50 shows that the following formulas are inconsistent:
% 73.34/11.25 ----------------------------------------------------------------
% 73.34/11.25 (1) ~ (all_10_0 = e3)
% 73.34/11.25 (2) ~ (all_4_0 = e2)
% 73.34/11.25 (3) ~ (all_10_0 = all_4_0)
% 73.34/11.25 (4) (all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 & all_56_3 = e3) |
% 73.34/11.25 (all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 & all_56_3 = e2) |
% 73.34/11.25 (all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 & all_56_3 = e1) |
% 73.34/11.25 (all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 & all_56_3 = e0)
% 73.34/11.25 (5) ~ (all_34_0 = e1) | ~ (all_34_1 = e2)
% 73.34/11.25 (6) ~ (all_28_0 = e2)
% 73.34/11.25 (7) all_64_9 = all_10_0
% 73.34/11.25 (8) ~ (all_28_0 = all_4_0)
% 73.34/11.25 (9) all_64_8 = all_4_0
% 73.34/11.25 (10) all_64_8 = e3 | all_64_8 = e2 | all_64_8 = e1 | all_64_8 = e0
% 73.34/11.25 (11) ~ (all_4_0 = all_4_1)
% 73.34/11.25 (12) ~ (all_28_0 = all_4_1)
% 73.34/11.25 (13) ~ (e2 = e1)
% 73.34/11.25 (14) ~ (all_4_1 = e1)
% 73.34/11.25 (15) ~ (all_10_0 = all_10_1)
% 73.34/11.25 (16) all_64_12 = all_28_0
% 73.34/11.25 (17) ~ (all_4_1 = e0)
% 73.34/11.25 (18) ~ (all_4_0 = e0)
% 73.34/11.25 (19) all_64_12 = e3 | all_64_12 = e2 | all_64_12 = e1 | all_64_12 = e0
% 73.34/11.25 (20) ~ (e2 = e0)
% 73.34/11.25 (21) ~ (all_10_0 = e0)
% 73.34/11.25 (22) all_56_1 = all_10_1
% 73.34/11.25 (23) ~ (all_12_1 = all_4_0)
% 73.34/11.25 (24) ~ (all_28_0 = e0)
% 73.34/11.25 (25) all_56_2 = all_12_1
% 73.34/11.25 (26) all_34_1 = all_4_1
% 73.34/11.25 (27) all_64_9 = e3 | all_64_9 = e2 | all_64_9 = e1 | all_64_9 = e0
% 73.34/11.25 (28) all_56_0 = all_4_1
% 73.34/11.25 (29) all_34_0 = all_28_0
% 73.34/11.25
% 73.34/11.25 Begin of proof
% 73.34/11.25 |
% 73.34/11.25 | BETA: splitting (5) gives:
% 73.34/11.25 |
% 73.34/11.25 | Case 1:
% 73.34/11.25 | |
% 73.34/11.25 | | (30) ~ (all_34_0 = e1)
% 73.34/11.25 | |
% 73.34/11.25 | | REDUCE: (29), (30) imply:
% 73.34/11.25 | | (31) ~ (all_28_0 = e1)
% 73.34/11.25 | |
% 73.34/11.25 | | BETA: splitting (19) gives:
% 73.34/11.25 | |
% 73.34/11.25 | | Case 1:
% 73.34/11.25 | | |
% 73.34/11.25 | | | (32) all_64_12 = e3
% 73.34/11.25 | | |
% 73.34/11.25 | | | COMBINE_EQS: (16), (32) imply:
% 73.34/11.25 | | | (33) all_28_0 = e3
% 73.34/11.25 | | |
% 73.34/11.25 | | | SIMP: (33) implies:
% 73.34/11.25 | | | (34) all_28_0 = e3
% 73.34/11.25 | | |
% 73.34/11.25 | | | REDUCE: (8), (34) imply:
% 73.34/11.25 | | | (35) ~ (all_4_0 = e3)
% 73.34/11.25 | | |
% 73.34/11.25 | | | SIMP: (35) implies:
% 73.34/11.25 | | | (36) ~ (all_4_0 = e3)
% 73.34/11.25 | | |
% 73.34/11.25 | | | REDUCE: (12), (34) imply:
% 73.34/11.25 | | | (37) ~ (all_4_1 = e3)
% 73.34/11.25 | | |
% 73.34/11.25 | | | SIMP: (37) implies:
% 73.34/11.25 | | | (38) ~ (all_4_1 = e3)
% 73.34/11.25 | | |
% 73.34/11.25 | | | REDUCE: (6), (34) imply:
% 73.34/11.25 | | | (39) ~ (e3 = e2)
% 73.34/11.25 | | |
% 73.34/11.25 | | | BETA: splitting (4) gives:
% 73.34/11.25 | | |
% 73.34/11.25 | | | Case 1:
% 73.34/11.25 | | | |
% 73.34/11.25 | | | | (40) (all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 & all_56_3 = e3)
% 73.34/11.25 | | | | | (all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 & all_56_3 =
% 73.34/11.25 | | | | e2)
% 73.34/11.25 | | | |
% 73.34/11.25 | | | | REF_CLOSE: (1), (3), (4), (7), (9), (10), (13), (15), (18), (20), (21),
% 73.34/11.25 | | | | (22), (23), (25), (27), (28), (36), (38), (39), (40) are
% 73.34/11.25 | | | | inconsistent by sub-proof #78.
% 73.34/11.25 | | | |
% 73.34/11.25 | | | Case 2:
% 73.34/11.25 | | | |
% 73.34/11.25 | | | | (41) (all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 & all_56_3 = e1)
% 73.34/11.25 | | | | | (all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 & all_56_3 =
% 73.34/11.25 | | | | e0)
% 73.34/11.25 | | | |
% 73.34/11.25 | | | | BETA: splitting (41) gives:
% 73.34/11.25 | | | |
% 73.34/11.25 | | | | Case 1:
% 73.34/11.25 | | | | |
% 73.34/11.25 | | | | | (42) all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 & all_56_3 = e1
% 73.34/11.25 | | | | |
% 73.34/11.25 | | | | | REF_CLOSE: (14), (28), (42) are inconsistent by sub-proof #65.
% 73.34/11.25 | | | | |
% 73.34/11.25 | | | | Case 2:
% 73.34/11.25 | | | | |
% 73.34/11.25 | | | | | (43) all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 & all_56_3 = e0
% 73.34/11.25 | | | | |
% 73.34/11.25 | | | | | REF_CLOSE: (17), (28), (43) are inconsistent by sub-proof #77.
% 73.34/11.25 | | | | |
% 73.34/11.25 | | | | End of split
% 73.34/11.25 | | | |
% 73.34/11.25 | | | End of split
% 73.34/11.25 | | |
% 73.34/11.25 | | Case 2:
% 73.34/11.25 | | |
% 73.34/11.25 | | | (44) all_64_12 = e2 | all_64_12 = e1 | all_64_12 = e0
% 73.34/11.25 | | |
% 73.34/11.25 | | | REF_CLOSE: (6), (16), (24), (31), (44) are inconsistent by sub-proof #84.
% 73.34/11.25 | | |
% 73.34/11.25 | | End of split
% 73.34/11.25 | |
% 73.34/11.25 | Case 2:
% 73.34/11.25 | |
% 73.34/11.25 | | (45) all_34_0 = e1
% 73.34/11.25 | | (46) ~ (all_34_1 = e2)
% 73.34/11.25 | |
% 73.34/11.25 | | COMBINE_EQS: (29), (45) imply:
% 73.34/11.25 | | (47) all_28_0 = e1
% 73.34/11.25 | |
% 73.34/11.25 | | SIMP: (47) implies:
% 73.34/11.25 | | (48) all_28_0 = e1
% 73.34/11.25 | |
% 73.34/11.25 | | REDUCE: (26), (46) imply:
% 73.34/11.25 | | (49) ~ (all_4_1 = e2)
% 73.34/11.25 | |
% 73.34/11.25 | | REDUCE: (8), (48) imply:
% 73.34/11.25 | | (50) ~ (all_4_0 = e1)
% 73.34/11.25 | |
% 73.34/11.25 | | SIMP: (50) implies:
% 73.34/11.25 | | (51) ~ (all_4_0 = e1)
% 73.34/11.25 | |
% 73.34/11.25 | | REDUCE: (12), (48) imply:
% 73.34/11.25 | | (52) ~ (all_4_1 = e1)
% 73.34/11.25 | |
% 73.34/11.25 | | REF_CLOSE: (2), (4), (9), (10), (11), (14), (17), (18), (28), (49), (51) are
% 73.34/11.25 | | inconsistent by sub-proof #51.
% 73.34/11.25 | |
% 73.34/11.25 | End of split
% 73.34/11.25 |
% 73.34/11.25 End of proof
% 73.34/11.25
% 73.34/11.25 Sub-proof #51 shows that the following formulas are inconsistent:
% 73.34/11.25 ----------------------------------------------------------------
% 73.34/11.25 (1) ~ (all_4_0 = e2)
% 73.34/11.25 (2) (all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 & all_56_3 = e3) |
% 73.34/11.25 (all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 & all_56_3 = e2) |
% 73.34/11.25 (all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 & all_56_3 = e1) |
% 73.34/11.25 (all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 & all_56_3 = e0)
% 73.34/11.25 (3) all_64_8 = all_4_0
% 73.34/11.25 (4) all_64_8 = e3 | all_64_8 = e2 | all_64_8 = e1 | all_64_8 = e0
% 73.34/11.25 (5) ~ (all_4_0 = all_4_1)
% 73.34/11.25 (6) ~ (all_4_1 = e1)
% 73.34/11.25 (7) ~ (all_4_1 = e0)
% 73.34/11.25 (8) ~ (all_4_0 = e0)
% 73.34/11.25 (9) ~ (all_4_0 = e1)
% 73.34/11.25 (10) ~ (all_4_1 = e2)
% 73.34/11.25 (11) all_56_0 = all_4_1
% 73.34/11.25
% 73.34/11.25 Begin of proof
% 73.34/11.25 |
% 73.34/11.25 | BETA: splitting (2) gives:
% 73.34/11.25 |
% 73.34/11.25 | Case 1:
% 73.34/11.25 | |
% 73.34/11.25 | | (12) (all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 & all_56_3 = e3) |
% 73.34/11.25 | | (all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 & all_56_3 = e2)
% 73.34/11.25 | |
% 73.34/11.25 | | BETA: splitting (12) gives:
% 73.34/11.25 | |
% 73.34/11.25 | | Case 1:
% 73.34/11.25 | | |
% 73.34/11.25 | | | (13) all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 & all_56_3 = e3
% 73.34/11.25 | | |
% 73.34/11.25 | | | ALPHA: (13) implies:
% 73.34/11.25 | | | (14) all_56_0 = e3
% 73.34/11.25 | | |
% 73.34/11.25 | | | COMBINE_EQS: (11), (14) imply:
% 73.34/11.25 | | | (15) all_4_1 = e3
% 73.34/11.25 | | |
% 73.34/11.25 | | | SIMP: (15) implies:
% 73.34/11.25 | | | (16) all_4_1 = e3
% 73.34/11.25 | | |
% 73.34/11.25 | | | REDUCE: (5), (16) imply:
% 73.34/11.25 | | | (17) ~ (all_4_0 = e3)
% 73.34/11.25 | | |
% 73.34/11.25 | | | REF_CLOSE: (1), (3), (4), (8), (9), (17) are inconsistent by sub-proof
% 73.34/11.25 | | | #52.
% 73.34/11.25 | | |
% 73.34/11.25 | | Case 2:
% 73.34/11.25 | | |
% 73.34/11.25 | | | (18) all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 & all_56_3 = e2
% 73.34/11.25 | | |
% 73.34/11.25 | | | REF_CLOSE: (10), (11), (18) are inconsistent by sub-proof #72.
% 73.34/11.25 | | |
% 73.34/11.25 | | End of split
% 73.34/11.25 | |
% 73.34/11.25 | Case 2:
% 73.34/11.25 | |
% 73.34/11.25 | | (19) (all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 & all_56_3 = e1) |
% 73.34/11.25 | | (all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 & all_56_3 = e0)
% 73.34/11.25 | |
% 73.34/11.25 | | BETA: splitting (19) gives:
% 73.34/11.25 | |
% 73.34/11.25 | | Case 1:
% 73.34/11.25 | | |
% 73.34/11.25 | | | (20) all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 & all_56_3 = e1
% 73.34/11.25 | | |
% 73.34/11.25 | | | REF_CLOSE: (6), (11), (20) are inconsistent by sub-proof #65.
% 73.34/11.25 | | |
% 73.34/11.25 | | Case 2:
% 73.34/11.25 | | |
% 73.34/11.25 | | | (21) all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 & all_56_3 = e0
% 73.34/11.25 | | |
% 73.34/11.25 | | | REF_CLOSE: (7), (11), (21) are inconsistent by sub-proof #77.
% 73.34/11.25 | | |
% 73.34/11.25 | | End of split
% 73.34/11.25 | |
% 73.34/11.25 | End of split
% 73.34/11.25 |
% 73.34/11.25 End of proof
% 73.34/11.25
% 73.34/11.25 Sub-proof #52 shows that the following formulas are inconsistent:
% 73.34/11.25 ----------------------------------------------------------------
% 73.34/11.25 (1) ~ (all_4_0 = e2)
% 73.34/11.25 (2) all_64_8 = all_4_0
% 73.34/11.25 (3) all_64_8 = e3 | all_64_8 = e2 | all_64_8 = e1 | all_64_8 = e0
% 73.34/11.25 (4) ~ (all_4_0 = e0)
% 73.34/11.25 (5) ~ (all_4_0 = e3)
% 73.34/11.25 (6) ~ (all_4_0 = e1)
% 73.34/11.25
% 73.34/11.25 Begin of proof
% 73.34/11.25 |
% 73.34/11.25 | BETA: splitting (3) gives:
% 73.34/11.25 |
% 73.34/11.25 | Case 1:
% 73.34/11.25 | |
% 73.34/11.25 | | (7) all_64_8 = e3
% 73.34/11.25 | |
% 73.34/11.25 | | COMBINE_EQS: (2), (7) imply:
% 73.34/11.25 | | (8) all_4_0 = e3
% 73.34/11.25 | |
% 73.34/11.25 | | REDUCE: (5), (8) imply:
% 73.34/11.25 | | (9) $false
% 73.34/11.25 | |
% 73.34/11.25 | | CLOSE: (9) is inconsistent.
% 73.34/11.25 | |
% 73.34/11.25 | Case 2:
% 73.34/11.25 | |
% 73.34/11.25 | | (10) all_64_8 = e2 | all_64_8 = e1 | all_64_8 = e0
% 73.34/11.25 | |
% 73.34/11.25 | | REF_CLOSE: (1), (2), (4), (6), (10) are inconsistent by sub-proof #82.
% 73.34/11.25 | |
% 73.34/11.25 | End of split
% 73.34/11.25 |
% 73.34/11.25 End of proof
% 73.34/11.25
% 73.34/11.25 Sub-proof #53 shows that the following formulas are inconsistent:
% 73.34/11.25 ----------------------------------------------------------------
% 73.34/11.25 (1) all_64_11 = all_8_0
% 73.34/11.25 (2) all_64_11 = e0
% 73.34/11.25 (3) ~ (all_8_0 = e0)
% 73.34/11.25
% 73.34/11.25 Begin of proof
% 73.34/11.25 |
% 73.34/11.25 | COMBINE_EQS: (1), (2) imply:
% 73.34/11.25 | (4) all_8_0 = e0
% 73.34/11.25 |
% 73.34/11.26 | SIMP: (4) implies:
% 73.34/11.26 | (5) all_8_0 = e0
% 73.34/11.26 |
% 73.34/11.26 | REDUCE: (3), (5) imply:
% 73.34/11.26 | (6) $false
% 73.34/11.26 |
% 73.34/11.26 | CLOSE: (6) is inconsistent.
% 73.34/11.26 |
% 73.34/11.26 End of proof
% 73.34/11.26
% 73.34/11.26 Sub-proof #54 shows that the following formulas are inconsistent:
% 73.34/11.26 ----------------------------------------------------------------
% 73.34/11.26 (1) all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 & all_56_3 = e1
% 73.34/11.26 (2) all_56_3 = all_8_1
% 73.34/11.26 (3) ~ (all_8_1 = e1)
% 73.34/11.26
% 73.34/11.26 Begin of proof
% 73.34/11.26 |
% 73.34/11.26 | ALPHA: (1) implies:
% 73.34/11.26 | (4) all_56_3 = e1
% 73.34/11.26 |
% 73.34/11.26 | COMBINE_EQS: (2), (4) imply:
% 73.34/11.26 | (5) all_8_1 = e1
% 73.34/11.26 |
% 73.34/11.26 | SIMP: (5) implies:
% 73.34/11.26 | (6) all_8_1 = e1
% 73.34/11.26 |
% 73.34/11.26 | REDUCE: (3), (6) imply:
% 73.34/11.26 | (7) $false
% 73.34/11.26 |
% 73.34/11.26 | CLOSE: (7) is inconsistent.
% 73.34/11.26 |
% 73.34/11.26 End of proof
% 73.34/11.26
% 73.34/11.26 Sub-proof #55 shows that the following formulas are inconsistent:
% 73.34/11.26 ----------------------------------------------------------------
% 73.34/11.26 (1) all_64_14 = all_42_0
% 73.34/11.26 (2) ~ (all_28_0 = e2)
% 73.34/11.26 (3) all_56_2 = e3
% 73.34/11.26 (4) ~ (all_50_0 = e2) | ~ (all_50_1 = e3)
% 73.34/11.26 (5) ~ (all_28_0 = all_4_1)
% 73.34/11.26 (6) all_50_1 = all_12_1
% 73.34/11.26 (7) all_64_12 = all_28_0
% 73.34/11.26 (8) all_56_3 = e3
% 73.34/11.26 (9) ~ (all_20_0 = all_14_0)
% 73.34/11.26 (10) all_64_12 = e3 | all_64_12 = e2 | all_64_12 = e1 | all_64_12 = e0
% 73.34/11.26 (11) ~ (all_14_0 = all_4_1)
% 73.34/11.26 (12) all_64_1 = all_14_0
% 73.34/11.26 (13) all_56_3 = all_8_1
% 73.34/11.26 (14) all_64_1 = e3 | all_64_1 = e2 | all_64_1 = e1 | all_64_1 = e0
% 73.34/11.26 (15) all_4_1 = e3
% 73.34/11.26 (16) ~ (all_42_0 = all_8_1)
% 73.34/11.26 (17) all_56_2 = all_12_1
% 73.34/11.26 (18) all_64_13 = all_20_0
% 73.34/11.26 (19) ~ (all_42_0 = all_28_0)
% 73.34/11.26 (20) all_64_14 = e3 | all_64_14 = e2 | all_64_14 = e1 | all_64_14 = e0
% 73.34/11.26 (21) ~ (all_14_0 = e1)
% 73.34/11.26 (22) ~ (all_20_0 = all_8_1)
% 73.34/11.26 (23) ~ (all_20_0 = e1)
% 73.34/11.26 (24) ~ (all_28_0 = all_20_0)
% 73.34/11.26 (25) ~ (all_14_0 = e0)
% 73.34/11.26 (26) all_50_0 = all_42_0
% 73.34/11.26 (27) all_64_13 = e3 | all_64_13 = e2 | all_64_13 = e1 | all_64_13 = e0
% 73.34/11.26 (28) ~ (all_42_0 = all_20_0)
% 73.34/11.26
% 73.34/11.26 Begin of proof
% 73.34/11.26 |
% 73.34/11.26 | COMBINE_EQS: (3), (17) imply:
% 73.34/11.26 | (29) all_12_1 = e3
% 73.34/11.26 |
% 73.34/11.26 | SIMP: (29) implies:
% 73.34/11.26 | (30) all_12_1 = e3
% 73.34/11.26 |
% 73.34/11.26 | COMBINE_EQS: (8), (13) imply:
% 73.34/11.26 | (31) all_8_1 = e3
% 73.34/11.26 |
% 73.34/11.26 | SIMP: (31) implies:
% 73.34/11.26 | (32) all_8_1 = e3
% 73.34/11.26 |
% 73.34/11.26 | COMBINE_EQS: (6), (30) imply:
% 73.34/11.26 | (33) all_50_1 = e3
% 73.34/11.26 |
% 73.34/11.26 | REDUCE: (16), (32) imply:
% 73.34/11.26 | (34) ~ (all_42_0 = e3)
% 73.34/11.26 |
% 73.34/11.26 | REDUCE: (5), (15) imply:
% 73.34/11.26 | (35) ~ (all_28_0 = e3)
% 73.34/11.26 |
% 73.34/11.26 | REDUCE: (22), (32) imply:
% 73.34/11.26 | (36) ~ (all_20_0 = e3)
% 73.34/11.26 |
% 73.34/11.26 | REDUCE: (11), (15) imply:
% 73.34/11.26 | (37) ~ (all_14_0 = e3)
% 73.34/11.26 |
% 73.34/11.26 | BETA: splitting (14) gives:
% 73.34/11.26 |
% 73.34/11.26 | Case 1:
% 73.34/11.26 | |
% 73.34/11.26 | | (38) all_64_1 = e3
% 73.34/11.26 | |
% 73.34/11.26 | | COMBINE_EQS: (12), (38) imply:
% 73.34/11.26 | | (39) all_14_0 = e3
% 73.34/11.26 | |
% 73.34/11.26 | | REDUCE: (37), (39) imply:
% 73.34/11.26 | | (40) $false
% 73.34/11.26 | |
% 73.34/11.26 | | CLOSE: (40) is inconsistent.
% 73.34/11.26 | |
% 73.34/11.26 | Case 2:
% 73.34/11.26 | |
% 73.34/11.26 | | (41) all_64_1 = e2 | all_64_1 = e1 | all_64_1 = e0
% 73.34/11.26 | |
% 73.34/11.26 | | BETA: splitting (41) gives:
% 73.34/11.26 | |
% 73.34/11.26 | | Case 1:
% 73.34/11.26 | | |
% 73.34/11.26 | | | (42) all_64_1 = e2
% 73.34/11.26 | | |
% 73.34/11.26 | | | COMBINE_EQS: (12), (42) imply:
% 73.34/11.26 | | | (43) all_14_0 = e2
% 73.34/11.26 | | |
% 73.34/11.26 | | | REDUCE: (9), (43) imply:
% 73.34/11.26 | | | (44) ~ (all_20_0 = e2)
% 73.34/11.26 | | |
% 73.34/11.26 | | | BETA: splitting (4) gives:
% 73.34/11.26 | | |
% 73.34/11.26 | | | Case 1:
% 73.34/11.26 | | | |
% 73.34/11.26 | | | | (45) ~ (all_50_0 = e2)
% 73.34/11.26 | | | |
% 73.34/11.26 | | | | REDUCE: (26), (45) imply:
% 73.34/11.26 | | | | (46) ~ (all_42_0 = e2)
% 73.34/11.26 | | | |
% 73.34/11.26 | | | | BETA: splitting (27) gives:
% 73.34/11.26 | | | |
% 73.34/11.26 | | | | Case 1:
% 73.34/11.26 | | | | |
% 73.34/11.26 | | | | | (47) all_64_13 = e3
% 73.34/11.26 | | | | |
% 73.34/11.26 | | | | | COMBINE_EQS: (18), (47) imply:
% 73.34/11.26 | | | | | (48) all_20_0 = e3
% 73.34/11.26 | | | | |
% 73.34/11.26 | | | | | REDUCE: (36), (48) imply:
% 73.34/11.26 | | | | | (49) $false
% 73.34/11.26 | | | | |
% 73.34/11.26 | | | | | CLOSE: (49) is inconsistent.
% 73.34/11.26 | | | | |
% 73.34/11.26 | | | | Case 2:
% 73.34/11.26 | | | | |
% 73.34/11.26 | | | | | (50) all_64_13 = e2 | all_64_13 = e1 | all_64_13 = e0
% 73.34/11.26 | | | | |
% 73.34/11.26 | | | | | BETA: splitting (50) gives:
% 73.34/11.26 | | | | |
% 73.34/11.26 | | | | | Case 1:
% 73.34/11.26 | | | | | |
% 73.34/11.26 | | | | | | (51) all_64_13 = e2
% 73.34/11.26 | | | | | |
% 73.34/11.26 | | | | | | COMBINE_EQS: (18), (51) imply:
% 73.34/11.26 | | | | | | (52) all_20_0 = e2
% 73.34/11.26 | | | | | |
% 73.34/11.26 | | | | | | REDUCE: (44), (52) imply:
% 73.34/11.26 | | | | | | (53) $false
% 73.34/11.26 | | | | | |
% 73.34/11.26 | | | | | | CLOSE: (53) is inconsistent.
% 73.34/11.26 | | | | | |
% 73.34/11.26 | | | | | Case 2:
% 73.34/11.26 | | | | | |
% 73.34/11.26 | | | | | | (54) all_64_13 = e1 | all_64_13 = e0
% 73.34/11.26 | | | | | |
% 73.34/11.26 | | | | | | REF_CLOSE: (1), (2), (7), (10), (18), (19), (20), (23), (24), (28),
% 73.34/11.26 | | | | | | (34), (35), (46), (54) are inconsistent by sub-proof #56.
% 73.34/11.26 | | | | | |
% 73.34/11.26 | | | | | End of split
% 73.34/11.26 | | | | |
% 73.34/11.26 | | | | End of split
% 73.34/11.26 | | | |
% 73.34/11.26 | | | Case 2:
% 73.34/11.26 | | | |
% 73.34/11.26 | | | | (55) ~ (all_50_1 = e3)
% 73.34/11.26 | | | |
% 73.34/11.26 | | | | REDUCE: (33), (55) imply:
% 73.34/11.26 | | | | (56) $false
% 73.34/11.26 | | | |
% 73.34/11.26 | | | | CLOSE: (56) is inconsistent.
% 73.34/11.26 | | | |
% 73.34/11.26 | | | End of split
% 73.34/11.26 | | |
% 73.34/11.26 | | Case 2:
% 73.34/11.26 | | |
% 73.34/11.26 | | | (57) all_64_1 = e1 | all_64_1 = e0
% 73.34/11.26 | | |
% 73.34/11.26 | | | REF_CLOSE: (12), (21), (25), (57) are inconsistent by sub-proof #70.
% 73.34/11.26 | | |
% 73.34/11.26 | | End of split
% 73.34/11.26 | |
% 73.34/11.26 | End of split
% 73.34/11.26 |
% 73.34/11.26 End of proof
% 73.34/11.26
% 73.34/11.26 Sub-proof #56 shows that the following formulas are inconsistent:
% 73.34/11.26 ----------------------------------------------------------------
% 73.34/11.26 (1) ~ (all_42_0 = e2)
% 73.34/11.26 (2) all_64_14 = all_42_0
% 73.34/11.26 (3) ~ (all_28_0 = e2)
% 73.34/11.26 (4) all_64_12 = all_28_0
% 73.34/11.26 (5) all_64_12 = e3 | all_64_12 = e2 | all_64_12 = e1 | all_64_12 = e0
% 73.34/11.26 (6) ~ (all_28_0 = e3)
% 73.34/11.26 (7) all_64_13 = e1 | all_64_13 = e0
% 73.34/11.26 (8) ~ (all_42_0 = e3)
% 73.34/11.26 (9) all_64_13 = all_20_0
% 73.34/11.26 (10) ~ (all_42_0 = all_28_0)
% 73.34/11.26 (11) all_64_14 = e3 | all_64_14 = e2 | all_64_14 = e1 | all_64_14 = e0
% 73.34/11.26 (12) ~ (all_20_0 = e1)
% 73.34/11.26 (13) ~ (all_28_0 = all_20_0)
% 73.34/11.26 (14) ~ (all_42_0 = all_20_0)
% 73.34/11.26
% 73.34/11.26 Begin of proof
% 73.34/11.26 |
% 73.34/11.26 | BETA: splitting (7) gives:
% 73.34/11.26 |
% 73.34/11.26 | Case 1:
% 73.34/11.26 | |
% 73.34/11.26 | | (15) all_64_13 = e1
% 73.34/11.26 | |
% 73.34/11.26 | | COMBINE_EQS: (9), (15) imply:
% 73.34/11.26 | | (16) all_20_0 = e1
% 73.34/11.26 | |
% 73.34/11.26 | | REDUCE: (12), (16) imply:
% 73.34/11.26 | | (17) $false
% 73.34/11.26 | |
% 73.34/11.26 | | CLOSE: (17) is inconsistent.
% 73.34/11.26 | |
% 73.34/11.26 | Case 2:
% 73.34/11.26 | |
% 73.34/11.26 | | (18) all_64_13 = e0
% 73.34/11.26 | |
% 73.34/11.26 | | COMBINE_EQS: (9), (18) imply:
% 73.34/11.26 | | (19) all_20_0 = e0
% 73.34/11.26 | |
% 73.34/11.26 | | REDUCE: (14), (19) imply:
% 73.34/11.26 | | (20) ~ (all_42_0 = e0)
% 73.34/11.26 | |
% 73.34/11.26 | | REDUCE: (13), (19) imply:
% 73.34/11.26 | | (21) ~ (all_28_0 = e0)
% 73.34/11.26 | |
% 73.34/11.26 | | BETA: splitting (5) gives:
% 73.34/11.26 | |
% 73.34/11.26 | | Case 1:
% 73.34/11.26 | | |
% 73.34/11.26 | | | (22) all_64_12 = e3
% 73.34/11.26 | | |
% 73.34/11.26 | | | COMBINE_EQS: (4), (22) imply:
% 73.34/11.26 | | | (23) all_28_0 = e3
% 73.34/11.26 | | |
% 73.34/11.26 | | | REDUCE: (6), (23) imply:
% 73.34/11.26 | | | (24) $false
% 73.34/11.26 | | |
% 73.34/11.26 | | | CLOSE: (24) is inconsistent.
% 73.34/11.26 | | |
% 73.34/11.26 | | Case 2:
% 73.34/11.26 | | |
% 73.34/11.26 | | | (25) all_64_12 = e2 | all_64_12 = e1 | all_64_12 = e0
% 73.34/11.26 | | |
% 73.34/11.26 | | | BETA: splitting (11) gives:
% 73.34/11.26 | | |
% 73.34/11.26 | | | Case 1:
% 73.34/11.26 | | | |
% 73.34/11.26 | | | | (26) all_64_14 = e3
% 73.34/11.26 | | | |
% 73.34/11.26 | | | | REF_CLOSE: (2), (8), (26) are inconsistent by sub-proof #59.
% 73.34/11.26 | | | |
% 73.34/11.26 | | | Case 2:
% 73.34/11.26 | | | |
% 73.34/11.26 | | | | (27) all_64_14 = e2 | all_64_14 = e1 | all_64_14 = e0
% 73.34/11.26 | | | |
% 73.34/11.26 | | | | BETA: splitting (27) gives:
% 73.34/11.26 | | | |
% 73.34/11.26 | | | | Case 1:
% 73.34/11.26 | | | | |
% 73.34/11.26 | | | | | (28) all_64_14 = e2
% 73.34/11.26 | | | | |
% 73.34/11.26 | | | | | COMBINE_EQS: (2), (28) imply:
% 73.34/11.26 | | | | | (29) all_42_0 = e2
% 73.34/11.26 | | | | |
% 73.34/11.26 | | | | | REDUCE: (1), (29) imply:
% 73.34/11.26 | | | | | (30) $false
% 73.34/11.26 | | | | |
% 73.34/11.26 | | | | | CLOSE: (30) is inconsistent.
% 73.34/11.26 | | | | |
% 73.34/11.26 | | | | Case 2:
% 73.34/11.26 | | | | |
% 73.34/11.26 | | | | | (31) all_64_14 = e1 | all_64_14 = e0
% 73.34/11.26 | | | | |
% 73.34/11.26 | | | | | BETA: splitting (25) gives:
% 73.34/11.26 | | | | |
% 73.34/11.26 | | | | | Case 1:
% 73.34/11.26 | | | | | |
% 73.34/11.26 | | | | | | (32) all_64_12 = e2
% 73.34/11.26 | | | | | |
% 73.34/11.26 | | | | | | COMBINE_EQS: (4), (32) imply:
% 73.34/11.26 | | | | | | (33) all_28_0 = e2
% 73.34/11.26 | | | | | |
% 73.34/11.26 | | | | | | REDUCE: (3), (33) imply:
% 73.34/11.26 | | | | | | (34) $false
% 73.34/11.26 | | | | | |
% 73.34/11.26 | | | | | | CLOSE: (34) is inconsistent.
% 73.34/11.26 | | | | | |
% 73.34/11.26 | | | | | Case 2:
% 73.34/11.26 | | | | | |
% 73.34/11.26 | | | | | | (35) all_64_12 = e1 | all_64_12 = e0
% 73.34/11.26 | | | | | |
% 73.34/11.26 | | | | | | REF_CLOSE: (2), (4), (10), (20), (21), (31), (35) are inconsistent
% 73.34/11.26 | | | | | | by sub-proof #57.
% 73.34/11.26 | | | | | |
% 73.34/11.26 | | | | | End of split
% 73.34/11.26 | | | | |
% 73.34/11.26 | | | | End of split
% 73.34/11.26 | | | |
% 73.34/11.26 | | | End of split
% 73.34/11.26 | | |
% 73.34/11.26 | | End of split
% 73.34/11.26 | |
% 73.34/11.26 | End of split
% 73.34/11.26 |
% 73.34/11.26 End of proof
% 73.34/11.26
% 73.34/11.26 Sub-proof #57 shows that the following formulas are inconsistent:
% 73.34/11.26 ----------------------------------------------------------------
% 73.34/11.26 (1) all_64_14 = all_42_0
% 73.34/11.26 (2) ~ (all_42_0 = e0)
% 73.34/11.26 (3) all_64_12 = all_28_0
% 73.34/11.26 (4) all_64_12 = e1 | all_64_12 = e0
% 73.34/11.26 (5) ~ (all_28_0 = e0)
% 73.34/11.26 (6) ~ (all_42_0 = all_28_0)
% 73.34/11.26 (7) all_64_14 = e1 | all_64_14 = e0
% 73.34/11.26
% 73.34/11.26 Begin of proof
% 73.34/11.26 |
% 73.34/11.26 | BETA: splitting (4) gives:
% 73.34/11.26 |
% 73.34/11.26 | Case 1:
% 73.34/11.26 | |
% 73.34/11.26 | | (8) all_64_12 = e1
% 73.34/11.26 | |
% 73.34/11.26 | | COMBINE_EQS: (3), (8) imply:
% 73.34/11.26 | | (9) all_28_0 = e1
% 73.34/11.26 | |
% 73.34/11.26 | | REDUCE: (6), (9) imply:
% 73.34/11.26 | | (10) ~ (all_42_0 = e1)
% 73.34/11.26 | |
% 73.34/11.26 | | REF_CLOSE: (1), (2), (7), (10) are inconsistent by sub-proof #58.
% 73.34/11.26 | |
% 73.34/11.26 | Case 2:
% 73.34/11.26 | |
% 73.34/11.26 | | (11) all_64_12 = e0
% 73.34/11.26 | |
% 73.34/11.26 | | COMBINE_EQS: (3), (11) imply:
% 73.34/11.26 | | (12) all_28_0 = e0
% 73.34/11.26 | |
% 73.34/11.26 | | REDUCE: (5), (12) imply:
% 73.34/11.26 | | (13) $false
% 73.34/11.26 | |
% 73.34/11.26 | | CLOSE: (13) is inconsistent.
% 73.34/11.26 | |
% 73.34/11.26 | End of split
% 73.34/11.26 |
% 73.34/11.26 End of proof
% 73.34/11.26
% 73.34/11.26 Sub-proof #58 shows that the following formulas are inconsistent:
% 73.34/11.26 ----------------------------------------------------------------
% 73.34/11.26 (1) all_64_14 = e1 | all_64_14 = e0
% 73.34/11.26 (2) all_64_14 = all_42_0
% 73.34/11.26 (3) ~ (all_42_0 = e1)
% 73.34/11.26 (4) ~ (all_42_0 = e0)
% 73.34/11.26
% 73.34/11.26 Begin of proof
% 73.34/11.26 |
% 73.34/11.26 | BETA: splitting (1) gives:
% 73.34/11.26 |
% 73.34/11.26 | Case 1:
% 73.34/11.26 | |
% 73.34/11.26 | | (5) all_64_14 = e1
% 73.34/11.26 | |
% 73.34/11.26 | | COMBINE_EQS: (2), (5) imply:
% 73.34/11.26 | | (6) all_42_0 = e1
% 73.34/11.26 | |
% 73.34/11.26 | | REDUCE: (3), (6) imply:
% 73.34/11.26 | | (7) $false
% 73.34/11.26 | |
% 73.34/11.26 | | CLOSE: (7) is inconsistent.
% 73.34/11.26 | |
% 73.34/11.26 | Case 2:
% 73.34/11.26 | |
% 73.34/11.26 | | (8) all_64_14 = e0
% 73.34/11.26 | |
% 73.34/11.26 | | COMBINE_EQS: (2), (8) imply:
% 73.34/11.26 | | (9) all_42_0 = e0
% 73.34/11.26 | |
% 73.34/11.26 | | REDUCE: (4), (9) imply:
% 73.34/11.26 | | (10) $false
% 73.34/11.26 | |
% 73.34/11.26 | | CLOSE: (10) is inconsistent.
% 73.34/11.26 | |
% 73.34/11.26 | End of split
% 73.34/11.26 |
% 73.34/11.26 End of proof
% 73.34/11.26
% 73.34/11.26 Sub-proof #59 shows that the following formulas are inconsistent:
% 73.34/11.26 ----------------------------------------------------------------
% 73.34/11.26 (1) all_64_14 = all_42_0
% 73.34/11.26 (2) all_64_14 = e3
% 73.34/11.26 (3) ~ (all_42_0 = e3)
% 73.34/11.26
% 73.34/11.26 Begin of proof
% 73.34/11.26 |
% 73.34/11.26 | COMBINE_EQS: (1), (2) imply:
% 73.34/11.26 | (4) all_42_0 = e3
% 73.34/11.26 |
% 73.34/11.26 | SIMP: (4) implies:
% 73.34/11.26 | (5) all_42_0 = e3
% 73.34/11.26 |
% 73.34/11.26 | REDUCE: (3), (5) imply:
% 73.34/11.26 | (6) $false
% 73.34/11.26 |
% 73.34/11.26 | CLOSE: (6) is inconsistent.
% 73.34/11.26 |
% 73.34/11.26 End of proof
% 73.34/11.26
% 73.34/11.26 Sub-proof #60 shows that the following formulas are inconsistent:
% 73.34/11.26 ----------------------------------------------------------------
% 73.34/11.26 (1) all_64_11 = all_8_0
% 73.34/11.26 (2) all_64_11 = e2
% 73.34/11.26 (3) ~ (all_8_0 = e2)
% 73.34/11.26
% 73.34/11.26 Begin of proof
% 73.34/11.26 |
% 73.34/11.26 | COMBINE_EQS: (1), (2) imply:
% 73.34/11.26 | (4) all_8_0 = e2
% 73.34/11.26 |
% 73.34/11.26 | SIMP: (4) implies:
% 73.34/11.26 | (5) all_8_0 = e2
% 73.34/11.26 |
% 73.34/11.26 | REDUCE: (3), (5) imply:
% 73.34/11.26 | (6) $false
% 73.34/11.26 |
% 73.34/11.26 | CLOSE: (6) is inconsistent.
% 73.34/11.26 |
% 73.34/11.26 End of proof
% 73.34/11.26
% 73.34/11.26 Sub-proof #61 shows that the following formulas are inconsistent:
% 73.34/11.26 ----------------------------------------------------------------
% 73.34/11.26 (1) all_64_11 = all_8_0
% 73.34/11.26 (2) all_64_11 = e3
% 73.34/11.26 (3) ~ (all_8_0 = e3)
% 73.34/11.26
% 73.34/11.26 Begin of proof
% 73.34/11.26 |
% 73.34/11.26 | COMBINE_EQS: (1), (2) imply:
% 73.34/11.26 | (4) all_8_0 = e3
% 73.34/11.26 |
% 73.34/11.26 | SIMP: (4) implies:
% 73.34/11.26 | (5) all_8_0 = e3
% 73.34/11.26 |
% 73.34/11.26 | REDUCE: (3), (5) imply:
% 73.34/11.26 | (6) $false
% 73.34/11.26 |
% 73.34/11.26 | CLOSE: (6) is inconsistent.
% 73.34/11.26 |
% 73.34/11.26 End of proof
% 73.34/11.26
% 73.34/11.26 Sub-proof #62 shows that the following formulas are inconsistent:
% 73.34/11.26 ----------------------------------------------------------------
% 73.34/11.26 (1) ~ (all_40_0 = all_14_0)
% 73.34/11.26 (2) ~ (all_4_0 = e2)
% 73.34/11.26 (3) all_64_2 = all_40_0
% 73.34/11.26 (4) ~ (all_10_0 = all_4_0)
% 73.34/11.26 (5) (all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 & all_56_3 = e3) |
% 73.34/11.26 (all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 & all_56_3 = e2) |
% 73.34/11.26 (all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 & all_56_3 = e1) |
% 73.34/11.26 (all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 & all_56_3 = e0)
% 73.34/11.26 (6) ~ (all_12_0 = all_10_1)
% 73.34/11.26 (7) all_64_2 = e3 | all_64_2 = e2 | all_64_2 = e1 | all_64_2 = e0
% 73.34/11.26 (8) all_64_9 = all_10_0
% 73.34/11.26 (9) all_64_4 = e3 | all_64_4 = e2 | all_64_4 = e1 | all_64_4 = e0
% 73.34/11.26 (10) all_64_8 = all_4_0
% 73.34/11.26 (11) all_64_8 = e3 | all_64_8 = e2 | all_64_8 = e1 | all_64_8 = e0
% 73.34/11.26 (12) ~ (all_40_0 = all_12_0)
% 73.34/11.26 (13) all_48_1 = all_12_1
% 73.34/11.26 (14) ~ (all_4_0 = all_4_1)
% 73.34/11.26 (15) ~ (all_4_1 = e1)
% 73.34/11.26 (16) ~ (all_10_0 = all_10_1)
% 73.34/11.27 (17) ~ (all_48_0 = e2) | ~ (all_48_1 = e0)
% 73.34/11.27 (18) ~ (all_4_0 = e0)
% 73.34/11.27 (19) ~ (all_14_0 = all_4_1)
% 73.34/11.27 (20) ~ (all_8_0 = all_4_0)
% 73.34/11.27 (21) ~ (all_6_0 = all_4_0)
% 73.34/11.27 (22) ~ (all_12_0 = e3)
% 73.34/11.27 (23) all_64_1 = all_14_0
% 73.34/11.27 (24) all_64_11 = all_8_0
% 73.34/11.27 (25) all_56_3 = all_8_1
% 73.34/11.27 (26) all_56_1 = all_10_1
% 73.34/11.27 (27) all_64_11 = e3 | all_64_11 = e2 | all_64_11 = e1 | all_64_11 = e0
% 73.34/11.27 (28) all_64_1 = e3 | all_64_1 = e2 | all_64_1 = e1 | all_64_1 = e0
% 73.34/11.27 (29) ~ (all_8_0 = e2)
% 73.34/11.27 (30) ~ (all_6_0 = all_4_1)
% 73.34/11.27 (31) ~ (all_4_0 = e1)
% 73.34/11.27 (32) ~ (all_10_0 = all_8_0)
% 73.34/11.27 (33) all_56_2 = all_12_1
% 73.34/11.27 (34) ~ (all_6_0 = e1)
% 73.34/11.27 (35) ~ (all_14_0 = e1)
% 73.34/11.27 (36) all_64_6 = all_12_0
% 73.34/11.27 (37) all_64_4 = all_6_0
% 73.34/11.27 (38) all_64_9 = e3 | all_64_9 = e2 | all_64_9 = e1 | all_64_9 = e0
% 73.34/11.27 (39) ~ (all_12_0 = all_6_0)
% 73.34/11.27 (40) all_64_6 = e3 | all_64_6 = e2 | all_64_6 = e1 | all_64_6 = e0
% 73.34/11.27 (41) ~ (all_14_0 = all_10_0)
% 73.34/11.27 (42) all_48_0 = all_40_0
% 73.34/11.27 (43) ~ (all_4_1 = e2)
% 73.34/11.27 (44) all_56_0 = all_4_1
% 73.34/11.27 (45) ~ (all_8_0 = all_8_1)
% 73.34/11.27 (46) ~ (all_40_0 = all_4_1)
% 73.34/11.27
% 73.34/11.27 Begin of proof
% 73.34/11.27 |
% 73.34/11.27 | BETA: splitting (11) gives:
% 73.34/11.27 |
% 73.34/11.27 | Case 1:
% 73.34/11.27 | |
% 73.34/11.27 | | (47) all_64_8 = e3
% 73.34/11.27 | |
% 73.34/11.27 | | COMBINE_EQS: (10), (47) imply:
% 73.34/11.27 | | (48) all_4_0 = e3
% 73.34/11.27 | |
% 73.34/11.27 | | REDUCE: (4), (48) imply:
% 73.34/11.27 | | (49) ~ (all_10_0 = e3)
% 73.34/11.27 | |
% 73.34/11.27 | | REDUCE: (20), (48) imply:
% 73.34/11.27 | | (50) ~ (all_8_0 = e3)
% 73.34/11.27 | |
% 73.34/11.27 | | REDUCE: (21), (48) imply:
% 73.34/11.27 | | (51) ~ (all_6_0 = e3)
% 73.34/11.27 | |
% 73.34/11.27 | | REDUCE: (14), (48) imply:
% 73.34/11.27 | | (52) ~ (all_4_1 = e3)
% 73.34/11.27 | |
% 73.34/11.27 | | SIMP: (52) implies:
% 73.34/11.27 | | (53) ~ (all_4_1 = e3)
% 73.34/11.27 | |
% 73.34/11.27 | | BETA: splitting (5) gives:
% 73.34/11.27 | |
% 73.34/11.27 | | Case 1:
% 73.34/11.27 | | |
% 73.34/11.27 | | | (54) (all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 & all_56_3 = e3) |
% 73.34/11.27 | | | (all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 & all_56_3 = e2)
% 73.34/11.27 | | |
% 73.34/11.27 | | | BETA: splitting (54) gives:
% 73.34/11.27 | | |
% 73.34/11.27 | | | Case 1:
% 73.34/11.27 | | | |
% 73.34/11.27 | | | | (55) all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 & all_56_3 = e3
% 73.34/11.27 | | | |
% 73.34/11.27 | | | | REF_CLOSE: (44), (53), (55) are inconsistent by sub-proof #79.
% 73.34/11.27 | | | |
% 73.34/11.27 | | | Case 2:
% 73.34/11.27 | | | |
% 73.34/11.27 | | | | (56) all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 & all_56_3 = e2
% 73.34/11.27 | | | |
% 73.34/11.27 | | | | REF_CLOSE: (43), (44), (56) are inconsistent by sub-proof #72.
% 73.34/11.27 | | | |
% 73.34/11.27 | | | End of split
% 73.34/11.27 | | |
% 73.34/11.27 | | Case 2:
% 73.34/11.27 | | |
% 73.34/11.27 | | | (57) (all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 & all_56_3 = e1) |
% 73.34/11.27 | | | (all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 & all_56_3 = e0)
% 73.34/11.27 | | |
% 73.34/11.27 | | | BETA: splitting (57) gives:
% 73.34/11.27 | | |
% 73.34/11.27 | | | Case 1:
% 73.34/11.27 | | | |
% 73.34/11.27 | | | | (58) all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 & all_56_3 = e1
% 73.34/11.27 | | | |
% 73.34/11.27 | | | | REF_CLOSE: (15), (44), (58) are inconsistent by sub-proof #65.
% 73.34/11.27 | | | |
% 73.34/11.27 | | | Case 2:
% 73.34/11.27 | | | |
% 73.34/11.27 | | | | (59) all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 & all_56_3 = e0
% 73.34/11.27 | | | |
% 73.34/11.27 | | | | ALPHA: (59) implies:
% 73.34/11.27 | | | | (60) all_56_3 = e0
% 73.34/11.27 | | | | (61) all_56_2 = e0
% 73.34/11.27 | | | | (62) all_56_1 = e0
% 73.34/11.27 | | | | (63) all_56_0 = e0
% 73.34/11.27 | | | |
% 73.34/11.27 | | | | COMBINE_EQS: (44), (63) imply:
% 73.34/11.27 | | | | (64) all_4_1 = e0
% 73.34/11.27 | | | |
% 73.34/11.27 | | | | SIMP: (64) implies:
% 73.34/11.27 | | | | (65) all_4_1 = e0
% 73.34/11.27 | | | |
% 73.34/11.27 | | | | COMBINE_EQS: (26), (62) imply:
% 73.34/11.27 | | | | (66) all_10_1 = e0
% 73.34/11.27 | | | |
% 73.34/11.27 | | | | SIMP: (66) implies:
% 73.34/11.27 | | | | (67) all_10_1 = e0
% 73.34/11.27 | | | |
% 73.34/11.27 | | | | COMBINE_EQS: (33), (61) imply:
% 73.34/11.27 | | | | (68) all_12_1 = e0
% 73.34/11.27 | | | |
% 73.34/11.27 | | | | SIMP: (68) implies:
% 73.34/11.27 | | | | (69) all_12_1 = e0
% 73.34/11.27 | | | |
% 73.34/11.27 | | | | COMBINE_EQS: (25), (60) imply:
% 73.34/11.27 | | | | (70) all_8_1 = e0
% 73.34/11.27 | | | |
% 73.34/11.27 | | | | SIMP: (70) implies:
% 73.34/11.27 | | | | (71) all_8_1 = e0
% 73.34/11.27 | | | |
% 73.34/11.27 | | | | COMBINE_EQS: (13), (69) imply:
% 73.34/11.27 | | | | (72) all_48_1 = e0
% 73.34/11.27 | | | |
% 73.34/11.27 | | | | REDUCE: (46), (65) imply:
% 73.34/11.27 | | | | (73) ~ (all_40_0 = e0)
% 73.34/11.27 | | | |
% 73.34/11.27 | | | | REDUCE: (19), (65) imply:
% 73.34/11.27 | | | | (74) ~ (all_14_0 = e0)
% 73.34/11.27 | | | |
% 73.34/11.27 | | | | REDUCE: (6), (67) imply:
% 73.34/11.27 | | | | (75) ~ (all_12_0 = e0)
% 73.34/11.27 | | | |
% 73.34/11.27 | | | | REDUCE: (16), (67) imply:
% 73.34/11.27 | | | | (76) ~ (all_10_0 = e0)
% 73.34/11.27 | | | |
% 73.34/11.27 | | | | REDUCE: (45), (71) imply:
% 73.34/11.27 | | | | (77) ~ (all_8_0 = e0)
% 73.34/11.27 | | | |
% 73.34/11.27 | | | | REDUCE: (30), (65) imply:
% 73.34/11.27 | | | | (78) ~ (all_6_0 = e0)
% 73.34/11.27 | | | |
% 73.34/11.27 | | | | BETA: splitting (17) gives:
% 73.34/11.27 | | | |
% 73.34/11.27 | | | | Case 1:
% 73.34/11.27 | | | | |
% 73.34/11.27 | | | | | (79) ~ (all_48_0 = e2)
% 73.34/11.27 | | | | |
% 73.34/11.27 | | | | | REDUCE: (42), (79) imply:
% 73.34/11.27 | | | | | (80) ~ (all_40_0 = e2)
% 73.34/11.27 | | | | |
% 73.34/11.27 | | | | | BETA: splitting (27) gives:
% 73.34/11.27 | | | | |
% 73.34/11.27 | | | | | Case 1:
% 73.34/11.27 | | | | | |
% 73.34/11.27 | | | | | | (81) all_64_11 = e3
% 73.34/11.27 | | | | | |
% 73.34/11.27 | | | | | | COMBINE_EQS: (24), (81) imply:
% 73.34/11.27 | | | | | | (82) all_8_0 = e3
% 73.34/11.27 | | | | | |
% 73.34/11.27 | | | | | | REDUCE: (50), (82) imply:
% 73.34/11.27 | | | | | | (83) $false
% 73.34/11.27 | | | | | |
% 73.34/11.27 | | | | | | CLOSE: (83) is inconsistent.
% 73.34/11.27 | | | | | |
% 73.34/11.27 | | | | | Case 2:
% 73.34/11.27 | | | | | |
% 73.34/11.27 | | | | | | (84) all_64_11 = e2 | all_64_11 = e1 | all_64_11 = e0
% 73.34/11.27 | | | | | |
% 73.34/11.27 | | | | | | BETA: splitting (84) gives:
% 73.34/11.27 | | | | | |
% 73.34/11.27 | | | | | | Case 1:
% 73.34/11.27 | | | | | | |
% 73.34/11.27 | | | | | | | (85) all_64_11 = e2
% 73.34/11.27 | | | | | | |
% 73.34/11.27 | | | | | | | COMBINE_EQS: (24), (85) imply:
% 73.34/11.27 | | | | | | | (86) all_8_0 = e2
% 73.34/11.27 | | | | | | |
% 73.34/11.27 | | | | | | | REDUCE: (29), (86) imply:
% 73.34/11.27 | | | | | | | (87) $false
% 73.34/11.27 | | | | | | |
% 73.34/11.27 | | | | | | | CLOSE: (87) is inconsistent.
% 73.34/11.27 | | | | | | |
% 73.34/11.27 | | | | | | Case 2:
% 73.34/11.27 | | | | | | |
% 73.34/11.27 | | | | | | | (88) all_64_11 = e1 | all_64_11 = e0
% 73.34/11.27 | | | | | | |
% 73.34/11.27 | | | | | | | BETA: splitting (88) gives:
% 73.34/11.27 | | | | | | |
% 73.34/11.27 | | | | | | | Case 1:
% 73.34/11.27 | | | | | | | |
% 73.34/11.27 | | | | | | | | (89) all_64_11 = e1
% 73.34/11.27 | | | | | | | |
% 73.34/11.27 | | | | | | | | COMBINE_EQS: (24), (89) imply:
% 73.34/11.27 | | | | | | | | (90) all_8_0 = e1
% 73.34/11.27 | | | | | | | |
% 73.34/11.27 | | | | | | | | REDUCE: (32), (90) imply:
% 73.34/11.27 | | | | | | | | (91) ~ (all_10_0 = e1)
% 73.34/11.27 | | | | | | | |
% 73.34/11.27 | | | | | | | | BETA: splitting (38) gives:
% 73.34/11.27 | | | | | | | |
% 73.34/11.27 | | | | | | | | Case 1:
% 73.34/11.27 | | | | | | | | |
% 73.34/11.27 | | | | | | | | | (92) all_64_9 = e3
% 73.34/11.27 | | | | | | | | |
% 73.34/11.27 | | | | | | | | | COMBINE_EQS: (8), (92) imply:
% 73.34/11.27 | | | | | | | | | (93) all_10_0 = e3
% 73.34/11.27 | | | | | | | | |
% 73.34/11.27 | | | | | | | | | REDUCE: (49), (93) imply:
% 73.34/11.27 | | | | | | | | | (94) $false
% 73.34/11.27 | | | | | | | | |
% 73.34/11.27 | | | | | | | | | CLOSE: (94) is inconsistent.
% 73.34/11.27 | | | | | | | | |
% 73.34/11.27 | | | | | | | | Case 2:
% 73.34/11.27 | | | | | | | | |
% 73.34/11.27 | | | | | | | | | (95) all_64_9 = e2 | all_64_9 = e1 | all_64_9 = e0
% 73.34/11.27 | | | | | | | | |
% 73.34/11.27 | | | | | | | | | BETA: splitting (95) gives:
% 73.34/11.27 | | | | | | | | |
% 73.34/11.27 | | | | | | | | | Case 1:
% 73.34/11.27 | | | | | | | | | |
% 73.34/11.27 | | | | | | | | | | (96) all_64_9 = e2
% 73.34/11.27 | | | | | | | | | |
% 73.34/11.27 | | | | | | | | | | COMBINE_EQS: (8), (96) imply:
% 73.34/11.27 | | | | | | | | | | (97) all_10_0 = e2
% 73.34/11.27 | | | | | | | | | |
% 73.34/11.27 | | | | | | | | | | REDUCE: (41), (97) imply:
% 73.34/11.27 | | | | | | | | | | (98) ~ (all_14_0 = e2)
% 73.34/11.27 | | | | | | | | | |
% 73.34/11.27 | | | | | | | | | | BETA: splitting (28) gives:
% 73.34/11.27 | | | | | | | | | |
% 73.34/11.27 | | | | | | | | | | Case 1:
% 73.34/11.27 | | | | | | | | | | |
% 73.34/11.27 | | | | | | | | | | | (99) all_64_1 = e3
% 73.34/11.27 | | | | | | | | | | |
% 73.34/11.27 | | | | | | | | | | | COMBINE_EQS: (23), (99) imply:
% 73.34/11.27 | | | | | | | | | | | (100) all_14_0 = e3
% 73.34/11.27 | | | | | | | | | | |
% 73.34/11.27 | | | | | | | | | | | REDUCE: (1), (100) imply:
% 73.34/11.27 | | | | | | | | | | | (101) ~ (all_40_0 = e3)
% 73.34/11.27 | | | | | | | | | | |
% 73.34/11.27 | | | | | | | | | | | BETA: splitting (7) gives:
% 73.34/11.27 | | | | | | | | | | |
% 73.34/11.27 | | | | | | | | | | | Case 1:
% 73.34/11.27 | | | | | | | | | | | |
% 73.34/11.27 | | | | | | | | | | | | (102) all_64_2 = e3
% 73.34/11.27 | | | | | | | | | | | |
% 73.34/11.27 | | | | | | | | | | | | COMBINE_EQS: (3), (102) imply:
% 73.34/11.27 | | | | | | | | | | | | (103) all_40_0 = e3
% 73.34/11.27 | | | | | | | | | | | |
% 73.34/11.27 | | | | | | | | | | | | REDUCE: (101), (103) imply:
% 73.34/11.27 | | | | | | | | | | | | (104) $false
% 73.34/11.27 | | | | | | | | | | | |
% 73.34/11.27 | | | | | | | | | | | | CLOSE: (104) is inconsistent.
% 73.34/11.27 | | | | | | | | | | | |
% 73.34/11.27 | | | | | | | | | | | Case 2:
% 73.34/11.27 | | | | | | | | | | | |
% 73.34/11.27 | | | | | | | | | | | | (105) all_64_2 = e2 | all_64_2 = e1 | all_64_2 = e0
% 73.34/11.27 | | | | | | | | | | | |
% 73.34/11.27 | | | | | | | | | | | | BETA: splitting (105) gives:
% 73.34/11.27 | | | | | | | | | | | |
% 73.34/11.27 | | | | | | | | | | | | Case 1:
% 73.34/11.27 | | | | | | | | | | | | |
% 73.34/11.27 | | | | | | | | | | | | | (106) all_64_2 = e2
% 73.34/11.27 | | | | | | | | | | | | |
% 73.34/11.27 | | | | | | | | | | | | | COMBINE_EQS: (3), (106) imply:
% 73.34/11.27 | | | | | | | | | | | | | (107) all_40_0 = e2
% 73.34/11.27 | | | | | | | | | | | | |
% 73.34/11.27 | | | | | | | | | | | | | REDUCE: (80), (107) imply:
% 73.34/11.27 | | | | | | | | | | | | | (108) $false
% 73.34/11.27 | | | | | | | | | | | | |
% 73.34/11.27 | | | | | | | | | | | | | CLOSE: (108) is inconsistent.
% 73.34/11.27 | | | | | | | | | | | | |
% 73.34/11.27 | | | | | | | | | | | | Case 2:
% 73.34/11.27 | | | | | | | | | | | | |
% 73.34/11.27 | | | | | | | | | | | | | (109) all_64_2 = e1 | all_64_2 = e0
% 73.34/11.27 | | | | | | | | | | | | |
% 73.34/11.27 | | | | | | | | | | | | | BETA: splitting (109) gives:
% 73.34/11.27 | | | | | | | | | | | | |
% 73.34/11.27 | | | | | | | | | | | | | Case 1:
% 73.34/11.27 | | | | | | | | | | | | | |
% 73.34/11.27 | | | | | | | | | | | | | | (110) all_64_2 = e1
% 73.34/11.27 | | | | | | | | | | | | | |
% 73.34/11.27 | | | | | | | | | | | | | | COMBINE_EQS: (3), (110) imply:
% 73.34/11.27 | | | | | | | | | | | | | | (111) all_40_0 = e1
% 73.34/11.27 | | | | | | | | | | | | | |
% 73.34/11.27 | | | | | | | | | | | | | | REDUCE: (12), (111) imply:
% 73.34/11.27 | | | | | | | | | | | | | | (112) ~ (all_12_0 = e1)
% 73.34/11.27 | | | | | | | | | | | | | |
% 73.34/11.27 | | | | | | | | | | | | | | SIMP: (112) implies:
% 73.34/11.27 | | | | | | | | | | | | | | (113) ~ (all_12_0 = e1)
% 73.34/11.27 | | | | | | | | | | | | | |
% 73.34/11.27 | | | | | | | | | | | | | | BETA: splitting (40) gives:
% 73.34/11.27 | | | | | | | | | | | | | |
% 73.34/11.27 | | | | | | | | | | | | | | Case 1:
% 73.34/11.27 | | | | | | | | | | | | | | |
% 73.34/11.27 | | | | | | | | | | | | | | | (114) all_64_6 = e3
% 73.34/11.27 | | | | | | | | | | | | | | |
% 73.34/11.27 | | | | | | | | | | | | | | | COMBINE_EQS: (36), (114) imply:
% 73.34/11.27 | | | | | | | | | | | | | | | (115) all_12_0 = e3
% 73.34/11.27 | | | | | | | | | | | | | | |
% 73.34/11.27 | | | | | | | | | | | | | | | REDUCE: (22), (115) imply:
% 73.34/11.27 | | | | | | | | | | | | | | | (116) $false
% 73.34/11.27 | | | | | | | | | | | | | | |
% 73.34/11.27 | | | | | | | | | | | | | | | CLOSE: (116) is inconsistent.
% 73.34/11.27 | | | | | | | | | | | | | | |
% 73.34/11.27 | | | | | | | | | | | | | | Case 2:
% 73.34/11.27 | | | | | | | | | | | | | | |
% 73.34/11.27 | | | | | | | | | | | | | | | (117) all_64_6 = e2 | all_64_6 = e1 | all_64_6 = e0
% 73.34/11.27 | | | | | | | | | | | | | | |
% 73.34/11.27 | | | | | | | | | | | | | | | BETA: splitting (117) gives:
% 73.34/11.27 | | | | | | | | | | | | | | |
% 73.34/11.27 | | | | | | | | | | | | | | | Case 1:
% 73.34/11.27 | | | | | | | | | | | | | | | |
% 73.34/11.27 | | | | | | | | | | | | | | | | (118) all_64_6 = e2
% 73.34/11.27 | | | | | | | | | | | | | | | |
% 73.34/11.27 | | | | | | | | | | | | | | | | COMBINE_EQS: (36), (118) imply:
% 73.34/11.27 | | | | | | | | | | | | | | | | (119) all_12_0 = e2
% 73.34/11.27 | | | | | | | | | | | | | | | |
% 73.34/11.27 | | | | | | | | | | | | | | | | REDUCE: (39), (119) imply:
% 73.34/11.27 | | | | | | | | | | | | | | | | (120) ~ (all_6_0 = e2)
% 73.34/11.27 | | | | | | | | | | | | | | | |
% 73.34/11.27 | | | | | | | | | | | | | | | | SIMP: (120) implies:
% 73.34/11.27 | | | | | | | | | | | | | | | | (121) ~ (all_6_0 = e2)
% 73.34/11.27 | | | | | | | | | | | | | | | |
% 73.34/11.27 | | | | | | | | | | | | | | | | REF_CLOSE: (9), (34), (37), (51), (78), (121) are
% 73.34/11.27 | | | | | | | | | | | | | | | | inconsistent by sub-proof #64.
% 73.34/11.27 | | | | | | | | | | | | | | | |
% 73.34/11.27 | | | | | | | | | | | | | | | Case 2:
% 73.34/11.27 | | | | | | | | | | | | | | | |
% 73.34/11.27 | | | | | | | | | | | | | | | | (122) all_64_6 = e1 | all_64_6 = e0
% 73.34/11.27 | | | | | | | | | | | | | | | |
% 73.34/11.27 | | | | | | | | | | | | | | | | REF_CLOSE: (36), (75), (113), (122) are inconsistent by
% 73.34/11.27 | | | | | | | | | | | | | | | | sub-proof #88.
% 73.34/11.27 | | | | | | | | | | | | | | | |
% 73.34/11.27 | | | | | | | | | | | | | | | End of split
% 73.34/11.27 | | | | | | | | | | | | | | |
% 73.34/11.27 | | | | | | | | | | | | | | End of split
% 73.34/11.27 | | | | | | | | | | | | | |
% 73.34/11.27 | | | | | | | | | | | | | Case 2:
% 73.34/11.27 | | | | | | | | | | | | | |
% 73.34/11.27 | | | | | | | | | | | | | | (123) all_64_2 = e0
% 73.34/11.27 | | | | | | | | | | | | | |
% 73.34/11.27 | | | | | | | | | | | | | | COMBINE_EQS: (3), (123) imply:
% 73.34/11.27 | | | | | | | | | | | | | | (124) all_40_0 = e0
% 73.34/11.27 | | | | | | | | | | | | | |
% 73.34/11.27 | | | | | | | | | | | | | | REDUCE: (73), (124) imply:
% 73.34/11.27 | | | | | | | | | | | | | | (125) $false
% 73.34/11.27 | | | | | | | | | | | | | |
% 73.34/11.27 | | | | | | | | | | | | | | CLOSE: (125) is inconsistent.
% 73.34/11.27 | | | | | | | | | | | | | |
% 73.34/11.27 | | | | | | | | | | | | | End of split
% 73.34/11.27 | | | | | | | | | | | | |
% 73.34/11.27 | | | | | | | | | | | | End of split
% 73.34/11.27 | | | | | | | | | | | |
% 73.34/11.27 | | | | | | | | | | | End of split
% 73.34/11.27 | | | | | | | | | | |
% 73.34/11.27 | | | | | | | | | | Case 2:
% 73.34/11.27 | | | | | | | | | | |
% 73.34/11.27 | | | | | | | | | | | (126) all_64_1 = e2 | all_64_1 = e1 | all_64_1 = e0
% 73.34/11.27 | | | | | | | | | | |
% 73.34/11.27 | | | | | | | | | | | REF_CLOSE: (23), (35), (74), (98), (126) are inconsistent by
% 73.34/11.27 | | | | | | | | | | | sub-proof #63.
% 73.34/11.27 | | | | | | | | | | |
% 73.34/11.27 | | | | | | | | | | End of split
% 73.34/11.27 | | | | | | | | | |
% 73.34/11.27 | | | | | | | | | Case 2:
% 73.34/11.27 | | | | | | | | | |
% 73.34/11.27 | | | | | | | | | | (127) all_64_9 = e1 | all_64_9 = e0
% 73.34/11.27 | | | | | | | | | |
% 73.34/11.27 | | | | | | | | | | REF_CLOSE: (8), (76), (91), (127) are inconsistent by
% 73.34/11.27 | | | | | | | | | | sub-proof #107.
% 73.34/11.27 | | | | | | | | | |
% 73.34/11.27 | | | | | | | | | End of split
% 73.34/11.27 | | | | | | | | |
% 73.34/11.27 | | | | | | | | End of split
% 73.34/11.27 | | | | | | | |
% 73.34/11.27 | | | | | | | Case 2:
% 73.34/11.27 | | | | | | | |
% 73.34/11.27 | | | | | | | | (128) all_64_11 = e0
% 73.34/11.27 | | | | | | | |
% 73.34/11.27 | | | | | | | | COMBINE_EQS: (24), (128) imply:
% 73.34/11.27 | | | | | | | | (129) all_8_0 = e0
% 73.34/11.27 | | | | | | | |
% 73.34/11.27 | | | | | | | | REDUCE: (77), (129) imply:
% 73.34/11.27 | | | | | | | | (130) $false
% 73.34/11.27 | | | | | | | |
% 73.34/11.27 | | | | | | | | CLOSE: (130) is inconsistent.
% 73.34/11.27 | | | | | | | |
% 73.34/11.27 | | | | | | | End of split
% 73.34/11.27 | | | | | | |
% 73.34/11.27 | | | | | | End of split
% 73.34/11.27 | | | | | |
% 73.34/11.27 | | | | | End of split
% 73.34/11.27 | | | | |
% 73.34/11.27 | | | | Case 2:
% 73.34/11.27 | | | | |
% 73.34/11.27 | | | | | (131) ~ (all_48_1 = e0)
% 73.34/11.27 | | | | |
% 73.34/11.27 | | | | | REDUCE: (72), (131) imply:
% 73.34/11.27 | | | | | (132) $false
% 73.34/11.27 | | | | |
% 73.34/11.27 | | | | | CLOSE: (132) is inconsistent.
% 73.34/11.27 | | | | |
% 73.34/11.27 | | | | End of split
% 73.34/11.27 | | | |
% 73.34/11.27 | | | End of split
% 73.34/11.27 | | |
% 73.34/11.27 | | End of split
% 73.34/11.27 | |
% 73.34/11.27 | Case 2:
% 73.34/11.27 | |
% 73.34/11.27 | | (133) all_64_8 = e2 | all_64_8 = e1 | all_64_8 = e0
% 73.34/11.27 | |
% 73.34/11.27 | | REF_CLOSE: (2), (10), (18), (31), (133) are inconsistent by sub-proof #82.
% 73.34/11.27 | |
% 73.34/11.27 | End of split
% 73.34/11.27 |
% 73.34/11.27 End of proof
% 73.34/11.27
% 73.34/11.27 Sub-proof #63 shows that the following formulas are inconsistent:
% 73.34/11.27 ----------------------------------------------------------------
% 73.34/11.27 (1) ~ (all_14_0 = e2)
% 73.34/11.27 (2) all_64_1 = e2 | all_64_1 = e1 | all_64_1 = e0
% 73.34/11.27 (3) all_64_1 = all_14_0
% 73.34/11.27 (4) ~ (all_14_0 = e1)
% 73.34/11.27 (5) ~ (all_14_0 = e0)
% 73.34/11.27
% 73.34/11.27 Begin of proof
% 73.34/11.27 |
% 73.34/11.27 | BETA: splitting (2) gives:
% 73.34/11.27 |
% 73.34/11.27 | Case 1:
% 73.34/11.27 | |
% 73.34/11.27 | | (6) all_64_1 = e2
% 73.34/11.27 | |
% 73.34/11.27 | | COMBINE_EQS: (3), (6) imply:
% 73.34/11.27 | | (7) all_14_0 = e2
% 73.34/11.27 | |
% 73.34/11.27 | | REDUCE: (1), (7) imply:
% 73.34/11.27 | | (8) $false
% 73.34/11.27 | |
% 73.34/11.27 | | CLOSE: (8) is inconsistent.
% 73.34/11.27 | |
% 73.34/11.27 | Case 2:
% 73.34/11.27 | |
% 73.34/11.27 | | (9) all_64_1 = e1 | all_64_1 = e0
% 73.34/11.27 | |
% 73.34/11.27 | | REF_CLOSE: (3), (4), (5), (9) are inconsistent by sub-proof #70.
% 73.34/11.27 | |
% 73.34/11.27 | End of split
% 73.34/11.27 |
% 73.34/11.27 End of proof
% 73.34/11.27
% 73.34/11.27 Sub-proof #64 shows that the following formulas are inconsistent:
% 73.34/11.27 ----------------------------------------------------------------
% 73.34/11.27 (1) all_64_4 = e3 | all_64_4 = e2 | all_64_4 = e1 | all_64_4 = e0
% 73.34/11.27 (2) ~ (all_6_0 = e2)
% 73.34/11.27 (3) ~ (all_6_0 = e0)
% 73.34/11.27 (4) ~ (all_6_0 = e1)
% 73.34/11.27 (5) all_64_4 = all_6_0
% 73.34/11.27 (6) ~ (all_6_0 = e3)
% 73.34/11.27
% 73.34/11.27 Begin of proof
% 73.34/11.27 |
% 73.34/11.27 | BETA: splitting (1) gives:
% 73.34/11.27 |
% 73.34/11.27 | Case 1:
% 73.34/11.27 | |
% 73.34/11.27 | | (7) all_64_4 = e3
% 73.34/11.27 | |
% 73.34/11.27 | | COMBINE_EQS: (5), (7) imply:
% 73.34/11.27 | | (8) all_6_0 = e3
% 73.34/11.27 | |
% 73.34/11.27 | | REDUCE: (6), (8) imply:
% 73.34/11.27 | | (9) $false
% 73.34/11.27 | |
% 73.34/11.27 | | CLOSE: (9) is inconsistent.
% 73.34/11.27 | |
% 73.34/11.27 | Case 2:
% 73.34/11.27 | |
% 73.34/11.27 | | (10) all_64_4 = e2 | all_64_4 = e1 | all_64_4 = e0
% 73.34/11.27 | |
% 73.34/11.27 | | REF_CLOSE: (2), (3), (4), (5), (10) are inconsistent by sub-proof #97.
% 73.34/11.27 | |
% 73.34/11.27 | End of split
% 73.34/11.27 |
% 73.34/11.27 End of proof
% 73.34/11.27
% 73.34/11.27 Sub-proof #65 shows that the following formulas are inconsistent:
% 73.34/11.27 ----------------------------------------------------------------
% 73.34/11.27 (1) all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 & all_56_3 = e1
% 73.34/11.27 (2) all_56_0 = all_4_1
% 73.34/11.27 (3) ~ (all_4_1 = e1)
% 73.34/11.27
% 73.34/11.27 Begin of proof
% 73.34/11.27 |
% 73.34/11.27 | ALPHA: (1) implies:
% 73.34/11.27 | (4) all_56_0 = e1
% 73.34/11.27 |
% 73.34/11.27 | COMBINE_EQS: (2), (4) imply:
% 73.34/11.27 | (5) all_4_1 = e1
% 73.34/11.27 |
% 73.34/11.27 | SIMP: (5) implies:
% 73.34/11.27 | (6) all_4_1 = e1
% 73.34/11.27 |
% 73.34/11.27 | REDUCE: (3), (6) imply:
% 73.34/11.27 | (7) $false
% 73.34/11.27 |
% 73.34/11.27 | CLOSE: (7) is inconsistent.
% 73.34/11.27 |
% 73.34/11.27 End of proof
% 73.34/11.27
% 73.34/11.27 Sub-proof #66 shows that the following formulas are inconsistent:
% 73.34/11.27 ----------------------------------------------------------------
% 73.34/11.27 (1) ~ (all_4_0 = e2)
% 73.34/11.27 (2) (all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 & all_56_3 = e3) |
% 73.34/11.27 (all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 & all_56_3 = e2) |
% 73.34/11.27 (all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 & all_56_3 = e1) |
% 73.34/11.27 (all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 & all_56_3 = e0)
% 73.34/11.27 (3) ~ (all_28_0 = all_4_0)
% 73.34/11.27 (4) all_64_4 = e3 | all_64_4 = e2 | all_64_4 = e1 | all_64_4 = e0
% 73.34/11.27 (5) all_64_8 = all_4_0
% 73.34/11.27 (6) all_64_8 = e3 | all_64_8 = e2 | all_64_8 = e1 | all_64_8 = e0
% 73.34/11.27 (7) ~ (all_4_0 = all_4_1)
% 73.34/11.27 (8) ~ (all_28_0 = all_4_1)
% 73.34/11.27 (9) all_64_12 = all_28_0
% 73.34/11.27 (10) ~ (all_28_0 = all_6_0)
% 73.34/11.27 (11) all_64_12 = e3 | all_64_12 = e2 | all_64_12 = e1 | all_64_12 = e0
% 73.34/11.27 (12) ~ (all_28_0 = e1)
% 73.34/11.27 (13) ~ (all_8_0 = all_4_0)
% 73.34/11.27 (14) ~ (all_6_0 = all_4_0)
% 73.34/11.27 (15) all_64_11 = all_8_0
% 73.34/11.27 (16) ~ (all_8_0 = e3)
% 73.34/11.27 (17) all_56_3 = all_8_1
% 73.34/11.27 (18) all_56_1 = all_10_1
% 73.34/11.27 (19) all_64_11 = e3 | all_64_11 = e2 | all_64_11 = e1 | all_64_11 = e0
% 73.34/11.27 (20) ~ (all_8_0 = e2)
% 73.34/11.27 (21) ~ (all_10_1 = e3)
% 73.34/11.27 (22) ~ (all_6_0 = all_4_1)
% 73.34/11.27 (23) ~ (all_6_0 = e1)
% 73.34/11.27 (24) all_64_4 = all_6_0
% 73.34/11.27 (25) ~ (all_10_1 = e2)
% 73.34/11.27 (26) all_56_0 = all_4_1
% 73.34/11.27 (27) ~ (all_8_0 = all_8_1)
% 73.34/11.27 (28) ~ (all_8_1 = e1)
% 73.34/11.27
% 73.34/11.27 Begin of proof
% 73.34/11.27 |
% 73.34/11.27 | BETA: splitting (2) gives:
% 73.34/11.27 |
% 73.34/11.27 | Case 1:
% 73.34/11.27 | |
% 73.34/11.27 | | (29) (all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 & all_56_3 = e3) |
% 73.34/11.27 | | (all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 & all_56_3 = e2)
% 73.34/11.27 | |
% 73.34/11.27 | | BETA: splitting (29) gives:
% 73.34/11.27 | |
% 73.34/11.27 | | Case 1:
% 73.34/11.27 | | |
% 73.34/11.27 | | | (30) all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 & all_56_3 = e3
% 73.34/11.27 | | |
% 73.34/11.27 | | | REF_CLOSE: (18), (21), (30) are inconsistent by sub-proof #69.
% 73.34/11.27 | | |
% 73.34/11.27 | | Case 2:
% 73.34/11.27 | | |
% 73.34/11.27 | | | (31) all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 & all_56_3 = e2
% 73.34/11.27 | | |
% 73.34/11.27 | | | REF_CLOSE: (18), (25), (31) are inconsistent by sub-proof #68.
% 73.34/11.27 | | |
% 73.34/11.27 | | End of split
% 73.34/11.27 | |
% 73.34/11.27 | Case 2:
% 73.34/11.27 | |
% 73.34/11.27 | | (32) (all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 & all_56_3 = e1) |
% 73.34/11.27 | | (all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 & all_56_3 = e0)
% 73.34/11.27 | |
% 73.34/11.27 | | BETA: splitting (32) gives:
% 73.34/11.27 | |
% 73.34/11.27 | | Case 1:
% 73.34/11.27 | | |
% 73.34/11.27 | | | (33) all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 & all_56_3 = e1
% 73.34/11.27 | | |
% 73.34/11.27 | | | REF_CLOSE: (17), (28), (33) are inconsistent by sub-proof #67.
% 73.34/11.27 | | |
% 73.34/11.27 | | Case 2:
% 73.34/11.27 | | |
% 73.34/11.27 | | | (34) all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 & all_56_3 = e0
% 73.34/11.27 | | |
% 73.34/11.27 | | | ALPHA: (34) implies:
% 73.34/11.27 | | | (35) all_56_3 = e0
% 73.34/11.27 | | | (36) all_56_0 = e0
% 73.34/11.27 | | |
% 73.34/11.27 | | | COMBINE_EQS: (26), (36) imply:
% 73.34/11.27 | | | (37) all_4_1 = e0
% 73.34/11.27 | | |
% 73.34/11.27 | | | COMBINE_EQS: (17), (35) imply:
% 73.34/11.27 | | | (38) all_8_1 = e0
% 73.34/11.27 | | |
% 73.34/11.27 | | | REDUCE: (8), (37) imply:
% 73.34/11.27 | | | (39) ~ (all_28_0 = e0)
% 73.34/11.27 | | |
% 73.34/11.27 | | | REDUCE: (27), (38) imply:
% 73.34/11.27 | | | (40) ~ (all_8_0 = e0)
% 73.34/11.27 | | |
% 73.34/11.27 | | | REDUCE: (22), (37) imply:
% 73.34/11.27 | | | (41) ~ (all_6_0 = e0)
% 73.34/11.27 | | |
% 73.34/11.27 | | | REDUCE: (7), (37) imply:
% 73.34/11.27 | | | (42) ~ (all_4_0 = e0)
% 73.34/11.27 | | |
% 73.34/11.27 | | | REF_CLOSE: (1), (3), (4), (5), (6), (9), (10), (11), (12), (13), (14),
% 73.34/11.27 | | | (15), (16), (19), (20), (23), (24), (39), (40), (41), (42) are
% 73.34/11.27 | | | inconsistent by sub-proof #81.
% 73.34/11.27 | | |
% 73.34/11.27 | | End of split
% 73.34/11.27 | |
% 73.34/11.27 | End of split
% 73.34/11.27 |
% 73.34/11.27 End of proof
% 73.34/11.27
% 73.34/11.27 Sub-proof #67 shows that the following formulas are inconsistent:
% 73.34/11.27 ----------------------------------------------------------------
% 73.34/11.27 (1) all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 & all_56_3 = e1
% 73.34/11.27 (2) all_56_3 = all_8_1
% 73.34/11.27 (3) ~ (all_8_1 = e1)
% 73.34/11.27
% 73.34/11.27 Begin of proof
% 73.34/11.27 |
% 73.34/11.27 | ALPHA: (1) implies:
% 73.34/11.27 | (4) all_56_3 = e1
% 73.34/11.27 |
% 73.34/11.27 | COMBINE_EQS: (2), (4) imply:
% 73.34/11.27 | (5) all_8_1 = e1
% 73.34/11.27 |
% 73.34/11.27 | REDUCE: (3), (5) imply:
% 73.34/11.27 | (6) $false
% 73.34/11.27 |
% 73.34/11.27 | CLOSE: (6) is inconsistent.
% 73.34/11.27 |
% 73.34/11.27 End of proof
% 73.34/11.27
% 73.34/11.27 Sub-proof #68 shows that the following formulas are inconsistent:
% 73.34/11.27 ----------------------------------------------------------------
% 73.34/11.27 (1) all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 & all_56_3 = e2
% 73.34/11.27 (2) all_56_1 = all_10_1
% 73.34/11.27 (3) ~ (all_10_1 = e2)
% 73.34/11.27
% 73.34/11.27 Begin of proof
% 73.34/11.27 |
% 73.34/11.27 | ALPHA: (1) implies:
% 73.34/11.27 | (4) all_56_1 = e2
% 73.34/11.27 |
% 73.34/11.27 | COMBINE_EQS: (2), (4) imply:
% 73.34/11.27 | (5) all_10_1 = e2
% 73.34/11.27 |
% 73.34/11.27 | REDUCE: (3), (5) imply:
% 73.34/11.27 | (6) $false
% 73.34/11.27 |
% 73.34/11.27 | CLOSE: (6) is inconsistent.
% 73.34/11.27 |
% 73.34/11.27 End of proof
% 73.34/11.27
% 73.34/11.27 Sub-proof #69 shows that the following formulas are inconsistent:
% 73.34/11.27 ----------------------------------------------------------------
% 73.34/11.27 (1) all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 & all_56_3 = e3
% 73.34/11.27 (2) all_56_1 = all_10_1
% 73.34/11.27 (3) ~ (all_10_1 = e3)
% 73.34/11.27
% 73.34/11.27 Begin of proof
% 73.34/11.27 |
% 73.34/11.27 | ALPHA: (1) implies:
% 73.34/11.27 | (4) all_56_1 = e3
% 73.34/11.27 |
% 73.34/11.27 | COMBINE_EQS: (2), (4) imply:
% 73.34/11.27 | (5) all_10_1 = e3
% 73.34/11.28 |
% 73.34/11.28 | REDUCE: (3), (5) imply:
% 73.34/11.28 | (6) $false
% 73.34/11.28 |
% 73.34/11.28 | CLOSE: (6) is inconsistent.
% 73.34/11.28 |
% 73.34/11.28 End of proof
% 73.34/11.28
% 73.34/11.28 Sub-proof #70 shows that the following formulas are inconsistent:
% 73.34/11.28 ----------------------------------------------------------------
% 73.34/11.28 (1) all_64_1 = e1 | all_64_1 = e0
% 73.34/11.28 (2) all_64_1 = all_14_0
% 73.34/11.28 (3) ~ (all_14_0 = e1)
% 73.34/11.28 (4) ~ (all_14_0 = e0)
% 73.34/11.28
% 73.34/11.28 Begin of proof
% 73.34/11.28 |
% 73.34/11.28 | BETA: splitting (1) gives:
% 73.34/11.28 |
% 73.34/11.28 | Case 1:
% 73.34/11.28 | |
% 73.34/11.28 | | (5) all_64_1 = e1
% 73.34/11.28 | |
% 73.34/11.28 | | COMBINE_EQS: (2), (5) imply:
% 73.34/11.28 | | (6) all_14_0 = e1
% 73.34/11.28 | |
% 73.34/11.28 | | REDUCE: (3), (6) imply:
% 73.34/11.28 | | (7) $false
% 73.34/11.28 | |
% 73.34/11.28 | | CLOSE: (7) is inconsistent.
% 73.34/11.28 | |
% 73.34/11.28 | Case 2:
% 73.34/11.28 | |
% 73.34/11.28 | | (8) all_64_1 = e0
% 73.34/11.28 | |
% 73.34/11.28 | | COMBINE_EQS: (2), (8) imply:
% 73.34/11.28 | | (9) all_14_0 = e0
% 73.34/11.28 | |
% 73.34/11.28 | | REDUCE: (4), (9) imply:
% 73.34/11.28 | | (10) $false
% 73.34/11.28 | |
% 73.34/11.28 | | CLOSE: (10) is inconsistent.
% 73.34/11.28 | |
% 73.34/11.28 | End of split
% 73.34/11.28 |
% 73.34/11.28 End of proof
% 73.34/11.28
% 73.34/11.28 Sub-proof #71 shows that the following formulas are inconsistent:
% 73.34/11.28 ----------------------------------------------------------------
% 73.34/11.28 (1) all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 & all_56_3 = e1
% 73.34/11.28 (2) all_56_1 = all_10_1
% 73.34/11.28 (3) ~ (all_10_1 = e1)
% 73.34/11.28
% 73.34/11.28 Begin of proof
% 73.34/11.28 |
% 73.34/11.28 | ALPHA: (1) implies:
% 73.34/11.28 | (4) all_56_1 = e1
% 73.34/11.28 |
% 73.34/11.28 | COMBINE_EQS: (2), (4) imply:
% 73.34/11.28 | (5) all_10_1 = e1
% 73.34/11.28 |
% 73.34/11.28 | SIMP: (5) implies:
% 73.34/11.28 | (6) all_10_1 = e1
% 73.34/11.28 |
% 73.34/11.28 | REDUCE: (3), (6) imply:
% 73.34/11.28 | (7) $false
% 73.34/11.28 |
% 73.34/11.28 | CLOSE: (7) is inconsistent.
% 73.34/11.28 |
% 73.34/11.28 End of proof
% 73.34/11.28
% 73.34/11.28 Sub-proof #72 shows that the following formulas are inconsistent:
% 73.34/11.28 ----------------------------------------------------------------
% 73.34/11.28 (1) all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 & all_56_3 = e2
% 73.34/11.28 (2) all_56_0 = all_4_1
% 73.34/11.28 (3) ~ (all_4_1 = e2)
% 73.34/11.28
% 73.34/11.28 Begin of proof
% 73.34/11.28 |
% 73.34/11.28 | ALPHA: (1) implies:
% 73.34/11.28 | (4) all_56_0 = e2
% 73.34/11.28 |
% 73.34/11.28 | COMBINE_EQS: (2), (4) imply:
% 73.34/11.28 | (5) all_4_1 = e2
% 73.34/11.28 |
% 73.34/11.28 | SIMP: (5) implies:
% 73.34/11.28 | (6) all_4_1 = e2
% 73.34/11.28 |
% 73.34/11.28 | REDUCE: (3), (6) imply:
% 73.34/11.28 | (7) $false
% 73.34/11.28 |
% 73.34/11.28 | CLOSE: (7) is inconsistent.
% 73.34/11.28 |
% 73.34/11.28 End of proof
% 73.34/11.28
% 73.34/11.28 Sub-proof #73 shows that the following formulas are inconsistent:
% 73.34/11.28 ----------------------------------------------------------------
% 73.34/11.28 (1) all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 & all_56_3 = e3
% 73.34/11.28 (2) all_56_3 = all_8_1
% 73.34/11.28 (3) ~ (all_8_1 = e3)
% 73.34/11.28
% 73.34/11.28 Begin of proof
% 73.34/11.28 |
% 73.34/11.28 | ALPHA: (1) implies:
% 73.34/11.28 | (4) all_56_3 = e3
% 73.34/11.28 |
% 73.34/11.28 | COMBINE_EQS: (2), (4) imply:
% 73.34/11.28 | (5) all_8_1 = e3
% 73.34/11.28 |
% 73.34/11.28 | SIMP: (5) implies:
% 73.34/11.28 | (6) all_8_1 = e3
% 73.34/11.28 |
% 73.34/11.28 | REDUCE: (3), (6) imply:
% 73.34/11.28 | (7) $false
% 73.34/11.28 |
% 73.34/11.28 | CLOSE: (7) is inconsistent.
% 73.34/11.28 |
% 73.34/11.28 End of proof
% 73.34/11.28
% 73.34/11.28 Sub-proof #74 shows that the following formulas are inconsistent:
% 73.34/11.28 ----------------------------------------------------------------
% 73.34/11.28 (1) ~ (all_10_0 = e3)
% 73.34/11.28 (2) ~ (all_4_0 = e2)
% 73.34/11.28 (3) all_64_2 = all_40_0
% 73.34/11.28 (4) ~ (all_52_1 = all_52_2)
% 73.34/11.28 (5) unit = e2 | unit = e1 | unit = e0
% 73.34/11.28 (6) ~ (all_10_0 = all_4_0)
% 73.34/11.28 (7) ~ (all_10_1 = all_6_0)
% 73.34/11.28 (8) (all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 & all_56_3 = e3) |
% 73.34/11.28 (all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 & all_56_3 = e2) |
% 73.34/11.28 (all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 & all_56_3 = e1) |
% 73.34/11.28 (all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 & all_56_3 = e0)
% 73.34/11.28 (9) ~ (all_12_0 = all_10_1)
% 73.34/11.28 (10) ~ (all_52_0 = all_52_1)
% 73.34/11.28 (11) ~ (all_28_0 = e2)
% 73.34/11.28 (12) op(e3, all_52_0) = unit
% 73.34/11.28 (13) all_60_3 = all_52_3
% 73.34/11.28 (14) all_64_2 = e3 | all_64_2 = e2 | all_64_2 = e1 | all_64_2 = e0
% 73.34/11.28 (15) all_64_9 = all_10_0
% 73.34/11.28 (16) ~ (all_22_0 = all_12_0)
% 73.34/11.28 (17) ~ (all_28_0 = all_4_0)
% 73.34/11.28 (18) all_64_4 = e3 | all_64_4 = e2 | all_64_4 = e1 | all_64_4 = e0
% 73.34/11.28 (19) all_64_8 = all_4_0
% 73.34/11.28 (20) all_60_3 = e3 | all_60_3 = e2 | all_60_3 = e1 | all_60_3 = e0
% 73.34/11.28 (21) all_64_8 = e3 | all_64_8 = e2 | all_64_8 = e1 | all_64_8 = e0
% 73.34/11.28 (22) ~ (all_40_0 = all_12_0)
% 73.34/11.28 (23) all_58_3 = all_52_3
% 73.34/11.28 (24) ~ (all_58_3 = e2) | all_58_1 = e0
% 73.34/11.28 (25) ~ (all_58_1 = e3) | all_58_0 = e2
% 73.34/11.28 (26) ~ (all_58_2 = e0) | all_58_3 = e1
% 73.34/11.28 (27) ~ (all_58_1 = e0) | all_58_3 = e2
% 73.34/11.28 (28) op(e1, e1) = all_12_1
% 73.34/11.28 (29) ~ (all_22_0 = all_6_0)
% 73.34/11.28 (30) ~ (all_4_0 = all_4_1)
% 73.34/11.28 (31) ~ (all_28_0 = all_4_1)
% 73.34/11.28 (32) ~ (all_52_2 = all_52_3)
% 73.34/11.28 (33) op(e3, e3) = all_4_1
% 73.34/11.28 (34) ~ (all_12_0 = e0)
% 73.34/11.28 (35) all_60_2 = all_52_2
% 73.34/11.28 (36) ~ (all_10_0 = all_10_1)
% 73.34/11.28 (37) op(e1, e2) = all_10_0
% 73.34/11.28 (38) all_60_2 = e3 | all_60_2 = e2 | all_60_2 = e1 | all_60_2 = e0
% 73.34/11.28 (39) ~ (all_52_0 = all_52_3)
% 73.34/11.28 (40) all_64_12 = all_28_0
% 73.34/11.28 (41) ~ (unit = e3)
% 73.34/11.28 (42) ~ (all_28_0 = all_6_0)
% 73.34/11.28 (43) ~ (all_58_3 = e1) | all_58_2 = e0
% 73.34/11.28 (44) ~ (all_22_0 = e3)
% 73.34/11.28 (45) op(e0, e3) = all_28_0
% 73.34/11.28 (46) op(e3, e0) = all_36_0
% 73.34/11.28 (47) op(e3, e1) = all_40_0
% 73.34/11.28 (48) ~ (all_58_3 = e3) | all_58_0 = e0
% 73.34/11.28 (49) all_60_1 = e3 | all_60_1 = e2 | all_60_1 = e1 | all_60_1 = e0
% 73.34/11.28 (50) ~ (all_4_0 = e0)
% 73.34/11.28 (51) all_64_12 = e3 | all_64_12 = e2 | all_64_12 = e1 | all_64_12 = e0
% 73.34/11.28 (52) all_58_1 = all_52_1
% 73.34/11.28 (53) all_64_7 = e3 | all_64_7 = e2 | all_64_7 = e1 | all_64_7 = e0
% 73.34/11.28 (54) ~ (all_20_0 = e3)
% 73.34/11.28 (55) ~ (all_28_0 = e1)
% 73.34/11.28 (56) ~ (all_8_0 = all_4_0)
% 73.34/11.28 (57) ~ (all_22_0 = all_8_1)
% 73.34/11.28 (58) all_60_0 = e3 | all_60_0 = e2 | all_60_0 = e1 | all_60_0 = e0
% 73.34/11.28 (59) op(e2, all_52_1) = unit
% 73.34/11.28 (60) ~ (all_52_0 = all_52_2)
% 73.34/11.28 (61) ~ (all_6_0 = all_4_0)
% 73.34/11.28 (62) all_58_2 = all_52_2
% 73.34/11.28 (63) all_60_1 = all_52_1
% 73.34/11.28 (64) ~ (all_58_2 = e2) | all_58_1 = e1
% 73.34/11.28 (65) ~ (all_10_0 = e0)
% 73.34/11.28 (66) ~ (all_12_0 = e3)
% 73.34/11.28 (67) all_64_11 = all_8_0
% 73.34/11.28 (68) ~ (all_58_0 = e2) | all_58_1 = e3
% 73.34/11.28 (69) ~ (all_8_0 = e3)
% 73.34/11.28 (70) all_56_3 = all_8_1
% 73.34/11.28 (71) all_56_1 = all_10_1
% 73.34/11.28 (72) ~ (all_12_1 = all_4_0)
% 73.34/11.28 (73) all_64_11 = e3 | all_64_11 = e2 | all_64_11 = e1 | all_64_11 = e0
% 73.34/11.28 (74) op(e0, all_52_3) = unit
% 73.34/11.28 (75) ~ (all_28_0 = all_8_1)
% 73.34/11.28 (76) ~ (all_58_0 = e0) | all_58_3 = e3
% 73.34/11.28 (77) ~ (all_6_0 = e0)
% 73.34/11.28 (78) ~ (all_8_0 = e2)
% 73.34/11.28 (79) op(e2, e2) = all_10_1
% 73.34/11.28 (80) ~ (all_6_0 = all_4_1)
% 73.34/11.28 (81) ~ (all_22_0 = all_8_0)
% 73.34/11.28 (82) ~ (all_58_0 = e1) | all_58_2 = e3
% 73.34/11.28 (83) op(e1, e0) = all_8_0
% 73.34/11.28 (84) ~ (all_22_0 = e1)
% 73.34/11.28 (85) op(e0, e2) = all_20_0
% 73.34/11.28 (86) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 73.34/11.28 (op(v3, v2) = v1) | ~ (op(v3, v2) = v0))
% 73.82/11.28 (87) op(e0, e0) = all_8_1
% 73.82/11.28 (88) all_56_2 = all_12_1
% 73.82/11.28 (89) ~ (all_6_0 = e1)
% 73.82/11.28 (90) all_64_6 = all_12_0
% 73.82/11.28 (91) all_64_4 = all_6_0
% 73.82/11.28 (92) all_60_0 = all_52_0
% 73.82/11.28 (93) all_64_9 = e3 | all_64_9 = e2 | all_64_9 = e1 | all_64_9 = e0
% 73.82/11.28 (94) all_58_0 = all_52_0
% 73.82/11.28 (95) op(e1, all_52_2) = unit
% 73.82/11.28 (96) ~ (all_20_0 = all_8_1)
% 73.82/11.28 (97) ~ (all_52_1 = all_52_3)
% 73.82/11.28 (98) all_64_6 = e3 | all_64_6 = e2 | all_64_6 = e1 | all_64_6 = e0
% 73.82/11.28 (99) ~ (all_20_0 = e1)
% 73.82/11.28 (100) ~ (all_36_0 = all_22_0)
% 73.82/11.28 (101) op(e1, e3) = all_4_0
% 73.82/11.28 (102) all_64_7 = all_22_0
% 73.82/11.28 (103) op(e2, e3) = all_6_0
% 73.82/11.28 (104) all_56_0 = all_4_1
% 73.82/11.28 (105) ~ (all_8_0 = all_8_1)
% 73.82/11.28
% 73.82/11.28 Begin of proof
% 73.82/11.28 |
% 73.82/11.28 | BETA: splitting (43) gives:
% 73.82/11.28 |
% 73.82/11.28 | Case 1:
% 73.82/11.28 | |
% 73.82/11.28 | | (106) ~ (all_58_3 = e1)
% 73.82/11.28 | |
% 73.82/11.28 | | REDUCE: (23), (106) imply:
% 73.82/11.28 | | (107) ~ (all_52_3 = e1)
% 73.82/11.28 | |
% 73.82/11.28 | | BETA: splitting (26) gives:
% 73.82/11.28 | |
% 73.82/11.28 | | Case 1:
% 73.82/11.28 | | |
% 73.82/11.28 | | | (108) ~ (all_58_2 = e0)
% 73.82/11.28 | | |
% 73.82/11.28 | | | REDUCE: (62), (108) imply:
% 73.82/11.28 | | | (109) ~ (all_52_2 = e0)
% 73.82/11.28 | | |
% 73.82/11.28 | | | BETA: splitting (48) gives:
% 73.82/11.28 | | |
% 73.82/11.28 | | | Case 1:
% 73.82/11.28 | | | |
% 73.82/11.28 | | | | (110) ~ (all_58_3 = e3)
% 73.82/11.28 | | | |
% 73.82/11.28 | | | | REDUCE: (23), (110) imply:
% 73.82/11.28 | | | | (111) ~ (all_52_3 = e3)
% 73.82/11.28 | | | |
% 73.82/11.28 | | | | BETA: splitting (76) gives:
% 73.82/11.28 | | | |
% 73.82/11.28 | | | | Case 1:
% 73.82/11.28 | | | | |
% 73.82/11.28 | | | | | (112) ~ (all_58_0 = e0)
% 73.82/11.28 | | | | |
% 73.82/11.28 | | | | | REDUCE: (94), (112) imply:
% 73.82/11.28 | | | | | (113) ~ (all_52_0 = e0)
% 73.82/11.28 | | | | |
% 73.82/11.28 | | | | | BETA: splitting (25) gives:
% 73.82/11.28 | | | | |
% 73.82/11.28 | | | | | Case 1:
% 73.82/11.28 | | | | | |
% 73.82/11.28 | | | | | | (114) ~ (all_58_1 = e3)
% 73.82/11.28 | | | | | |
% 73.82/11.28 | | | | | | REDUCE: (52), (114) imply:
% 73.82/11.28 | | | | | | (115) ~ (all_52_1 = e3)
% 73.82/11.28 | | | | | |
% 73.82/11.28 | | | | | | BETA: splitting (68) gives:
% 73.82/11.28 | | | | | |
% 73.82/11.28 | | | | | | Case 1:
% 73.82/11.28 | | | | | | |
% 73.82/11.28 | | | | | | | (116) ~ (all_58_0 = e2)
% 73.82/11.28 | | | | | | |
% 73.82/11.28 | | | | | | | REDUCE: (94), (116) imply:
% 73.82/11.28 | | | | | | | (117) ~ (all_52_0 = e2)
% 73.82/11.28 | | | | | | |
% 73.82/11.28 | | | | | | | BETA: splitting (64) gives:
% 73.82/11.28 | | | | | | |
% 73.82/11.28 | | | | | | | Case 1:
% 73.82/11.28 | | | | | | | |
% 73.82/11.28 | | | | | | | | (118) ~ (all_58_2 = e2)
% 73.82/11.28 | | | | | | | |
% 73.82/11.28 | | | | | | | | REDUCE: (62), (118) imply:
% 73.82/11.28 | | | | | | | | (119) ~ (all_52_2 = e2)
% 73.82/11.28 | | | | | | | |
% 73.82/11.28 | | | | | | | | BETA: splitting (82) gives:
% 73.82/11.28 | | | | | | | |
% 73.82/11.28 | | | | | | | | Case 1:
% 73.82/11.28 | | | | | | | | |
% 73.82/11.28 | | | | | | | | | (120) ~ (all_58_0 = e1)
% 73.82/11.28 | | | | | | | | |
% 73.82/11.28 | | | | | | | | | REDUCE: (94), (120) imply:
% 73.82/11.28 | | | | | | | | | (121) ~ (all_52_0 = e1)
% 73.82/11.28 | | | | | | | | |
% 73.82/11.28 | | | | | | | | | BETA: splitting (58) gives:
% 73.82/11.28 | | | | | | | | |
% 73.82/11.28 | | | | | | | | | Case 1:
% 73.82/11.28 | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | (122) all_60_0 = e3
% 73.82/11.28 | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | COMBINE_EQS: (92), (122) imply:
% 73.82/11.28 | | | | | | | | | | (123) all_52_0 = e3
% 73.82/11.28 | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | SIMP: (123) implies:
% 73.82/11.28 | | | | | | | | | | (124) all_52_0 = e3
% 73.82/11.28 | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | REDUCE: (10), (124) imply:
% 73.82/11.28 | | | | | | | | | | (125) ~ (all_52_1 = e3)
% 73.82/11.28 | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | REDUCE: (60), (124) imply:
% 73.82/11.28 | | | | | | | | | | (126) ~ (all_52_2 = e3)
% 73.82/11.28 | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | SIMP: (126) implies:
% 73.82/11.28 | | | | | | | | | | (127) ~ (all_52_2 = e3)
% 73.82/11.28 | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | REDUCE: (39), (124) imply:
% 73.82/11.28 | | | | | | | | | | (128) ~ (all_52_3 = e3)
% 73.82/11.28 | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | REDUCE: (12), (124) imply:
% 73.82/11.28 | | | | | | | | | | (129) op(e3, e3) = unit
% 73.82/11.28 | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | BETA: splitting (38) gives:
% 73.82/11.28 | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | Case 1:
% 73.82/11.28 | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | (130) all_60_2 = e3
% 73.82/11.28 | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | COMBINE_EQS: (35), (130) imply:
% 73.82/11.28 | | | | | | | | | | | (131) all_52_2 = e3
% 73.82/11.28 | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | SIMP: (131) implies:
% 73.82/11.28 | | | | | | | | | | | (132) all_52_2 = e3
% 73.82/11.28 | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | REDUCE: (127), (132) imply:
% 73.82/11.28 | | | | | | | | | | | (133) $false
% 73.82/11.28 | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | CLOSE: (133) is inconsistent.
% 73.82/11.28 | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | Case 2:
% 73.82/11.28 | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | (134) all_60_2 = e2 | all_60_2 = e1 | all_60_2 = e0
% 73.82/11.28 | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | BETA: splitting (134) gives:
% 73.82/11.28 | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | Case 1:
% 73.82/11.28 | | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | | (135) all_60_2 = e2
% 73.82/11.28 | | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | | COMBINE_EQS: (35), (135) imply:
% 73.82/11.28 | | | | | | | | | | | | (136) all_52_2 = e2
% 73.82/11.28 | | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | | SIMP: (136) implies:
% 73.82/11.28 | | | | | | | | | | | | (137) all_52_2 = e2
% 73.82/11.28 | | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | | REDUCE: (119), (137) imply:
% 73.82/11.28 | | | | | | | | | | | | (138) $false
% 73.82/11.28 | | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | | CLOSE: (138) is inconsistent.
% 73.82/11.28 | | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | Case 2:
% 73.82/11.28 | | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | | (139) all_60_2 = e1 | all_60_2 = e0
% 73.82/11.28 | | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | | BETA: splitting (139) gives:
% 73.82/11.28 | | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | | Case 1:
% 73.82/11.28 | | | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | | | (140) all_60_2 = e1
% 73.82/11.28 | | | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | | | COMBINE_EQS: (35), (140) imply:
% 73.82/11.28 | | | | | | | | | | | | | (141) all_52_2 = e1
% 73.82/11.28 | | | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | | | SIMP: (141) implies:
% 73.82/11.28 | | | | | | | | | | | | | (142) all_52_2 = e1
% 73.82/11.28 | | | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | | | REDUCE: (4), (142) imply:
% 73.82/11.28 | | | | | | | | | | | | | (143) ~ (all_52_1 = e1)
% 73.82/11.28 | | | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | | | REDUCE: (32), (142) imply:
% 73.82/11.28 | | | | | | | | | | | | | (144) ~ (all_52_3 = e1)
% 73.82/11.28 | | | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | | | REDUCE: (95), (142) imply:
% 73.82/11.28 | | | | | | | | | | | | | (145) op(e1, e1) = unit
% 73.82/11.28 | | | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | | | GROUND_INST: instantiating (86) with all_12_1, unit, e1, e1,
% 73.82/11.28 | | | | | | | | | | | | | simplifying with (28), (145) gives:
% 73.82/11.28 | | | | | | | | | | | | | (146) all_12_1 = unit
% 73.82/11.28 | | | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | | | GROUND_INST: instantiating (86) with all_4_1, unit, e3, e3,
% 73.82/11.28 | | | | | | | | | | | | | simplifying with (33), (129) gives:
% 73.82/11.28 | | | | | | | | | | | | | (147) all_4_1 = unit
% 73.82/11.28 | | | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | | | COMBINE_EQS: (88), (146) imply:
% 73.82/11.28 | | | | | | | | | | | | | (148) all_56_2 = unit
% 73.82/11.28 | | | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | | | REDUCE: (30), (147) imply:
% 73.82/11.28 | | | | | | | | | | | | | (149) ~ (all_4_0 = unit)
% 73.82/11.28 | | | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | | | BETA: splitting (24) gives:
% 73.82/11.28 | | | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | | | Case 1:
% 73.82/11.28 | | | | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | | | | (150) ~ (all_58_3 = e2)
% 73.82/11.28 | | | | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | | | | REDUCE: (23), (150) imply:
% 73.82/11.28 | | | | | | | | | | | | | | (151) ~ (all_52_3 = e2)
% 73.82/11.28 | | | | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | | | | BETA: splitting (27) gives:
% 73.82/11.28 | | | | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | | | | Case 1:
% 73.82/11.28 | | | | | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | | | | | (152) ~ (all_58_1 = e0)
% 73.82/11.28 | | | | | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | | | | | REDUCE: (52), (152) imply:
% 73.82/11.28 | | | | | | | | | | | | | | | (153) ~ (all_52_1 = e0)
% 73.82/11.28 | | | | | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | | | | | BETA: splitting (49) gives:
% 73.82/11.28 | | | | | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | | | | | Case 1:
% 73.82/11.28 | | | | | | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | | | | | | (154) all_60_1 = e3
% 73.82/11.28 | | | | | | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | | | | | | REF_CLOSE: (63), (115), (154) are inconsistent by sub-proof
% 73.82/11.28 | | | | | | | | | | | | | | | | #104.
% 73.82/11.28 | | | | | | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | | | | | Case 2:
% 73.82/11.28 | | | | | | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | | | | | | (155) all_60_1 = e2 | all_60_1 = e1 | all_60_1 = e0
% 73.82/11.28 | | | | | | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | | | | | | BETA: splitting (20) gives:
% 73.82/11.28 | | | | | | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | | | | | | Case 1:
% 73.82/11.28 | | | | | | | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | | | | | | | (156) all_60_3 = e3
% 73.82/11.28 | | | | | | | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (111), (156) are inconsistent by sub-proof
% 73.82/11.28 | | | | | | | | | | | | | | | | | #103.
% 73.82/11.28 | | | | | | | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | | | | | | Case 2:
% 73.82/11.28 | | | | | | | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | | | | | | | (157) all_60_3 = e2 | all_60_3 = e1 | all_60_3 = e0
% 73.82/11.28 | | | | | | | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | | | | | | | BETA: splitting (155) gives:
% 73.82/11.28 | | | | | | | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | | | | | | | Case 1:
% 73.82/11.28 | | | | | | | | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | | | | | | | | (158) all_60_1 = e2
% 73.82/11.28 | | | | | | | | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (63), (158) imply:
% 73.82/11.28 | | | | | | | | | | | | | | | | | | (159) all_52_1 = e2
% 73.82/11.28 | | | | | | | | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | | | | | | | | SIMP: (159) implies:
% 73.82/11.28 | | | | | | | | | | | | | | | | | | (160) all_52_1 = e2
% 73.82/11.28 | | | | | | | | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | | | | | | | | REDUCE: (97), (160) imply:
% 73.82/11.28 | | | | | | | | | | | | | | | | | | (161) ~ (all_52_3 = e2)
% 73.82/11.28 | | | | | | | | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | | | | | | | | REDUCE: (59), (160) imply:
% 73.82/11.28 | | | | | | | | | | | | | | | | | | (162) op(e2, e2) = unit
% 73.82/11.28 | | | | | | | | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | | | | | | | | BETA: splitting (157) gives:
% 73.82/11.28 | | | | | | | | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | | | | | | | | Case 1:
% 73.82/11.28 | | | | | | | | | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | (163) all_60_3 = e2
% 73.82/11.28 | | | | | | | | | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (151), (163) are inconsistent by sub-proof
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | #102.
% 73.82/11.28 | | | | | | | | | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | | | | | | | | Case 2:
% 73.82/11.28 | | | | | | | | | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | (164) all_60_3 = e1 | all_60_3 = e0
% 73.82/11.28 | | | | | | | | | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | BETA: splitting (164) gives:
% 73.82/11.28 | | | | | | | | | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | Case 1:
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | | (165) all_60_3 = e1
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (107), (165) are inconsistent by sub-proof
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | | #101.
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | Case 2:
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | | (166) all_60_3 = e0
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (13), (166) imply:
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | | (167) all_52_3 = e0
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | | SIMP: (167) implies:
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | | (168) all_52_3 = e0
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | | REDUCE: (74), (168) imply:
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | | (169) op(e0, e0) = unit
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (86) with all_8_1, unit, e0, e0,
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | | simplifying with (87), (169) gives:
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | | (170) all_8_1 = unit
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (86) with all_10_1, unit, e2, e2,
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | | simplifying with (79), (162) gives:
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | | (171) all_10_1 = unit
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (70), (170) imply:
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | | (172) all_56_3 = unit
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | | REDUCE: (75), (170) imply:
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | | (173) ~ (all_28_0 = unit)
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | | REDUCE: (57), (170) imply:
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | | (174) ~ (all_22_0 = unit)
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (171) imply:
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | | (175) ~ (all_12_0 = unit)
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | | REDUCE: (36), (171) imply:
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | | (176) ~ (all_10_0 = unit)
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (171) imply:
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | | (177) ~ (all_6_0 = unit)
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | | SIMP: (177) implies:
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | | (178) ~ (all_6_0 = unit)
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | | REDUCE: (105), (170) imply:
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | | (179) ~ (all_8_0 = unit)
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | | BETA: splitting (8) gives:
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | | | (180) (all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 &
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | | | all_56_3 = e3) | (all_56_0 = e2 & all_56_1 = e2
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | | | & all_56_2 = e2 & all_56_3 = e2)
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (180) gives:
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | | | | (181) all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 &
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | | | | all_56_3 = e3
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (41), (172), (181) are inconsistent by sub-proof
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | | | | #100.
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | | | | (182) all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 &
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | | | | all_56_3 = e2
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (182) implies:
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | | | | (183) all_56_3 = e2
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (172), (183) imply:
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | | | | (184) unit = e2
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (176), (184) imply:
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | | | | (185) ~ (all_10_0 = e2)
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (178), (184) imply:
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | | | | (186) ~ (all_6_0 = e2)
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1), (2), (6), (15), (18), (19), (21), (50), (61),
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | | | | (65), (77), (89), (91), (93), (185), (186) are
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #96.
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | | | End of split
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | | | (187) (all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 &
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | | | all_56_3 = e1) | (all_56_0 = e0 & all_56_1 = e0
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | | | & all_56_2 = e0 & all_56_3 = e0)
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (187) gives:
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | | | | (188) all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 &
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | | | | all_56_3 = e1
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (188) implies:
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | | | | (189) all_56_3 = e1
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | | | |
% 73.82/11.28 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (172), (189) imply:
% 73.82/11.29 | | | | | | | | | | | | | | | | | | | | | | (190) unit = e1
% 73.82/11.29 | | | | | | | | | | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (175), (190) imply:
% 73.82/11.29 | | | | | | | | | | | | | | | | | | | | | | (191) ~ (all_12_0 = e1)
% 73.82/11.29 | | | | | | | | | | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (179), (190) imply:
% 73.82/11.29 | | | | | | | | | | | | | | | | | | | | | | (192) ~ (all_8_0 = e1)
% 73.82/11.29 | | | | | | | | | | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (16), (34), (44), (53), (66), (67), (69), (73),
% 73.82/11.29 | | | | | | | | | | | | | | | | | | | | | | (78), (81), (84), (90), (98), (102), (191), (192)
% 73.82/11.29 | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #87.
% 73.82/11.29 | | | | | | | | | | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 73.82/11.29 | | | | | | | | | | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | | | | | | | | | | | (193) all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 &
% 73.82/11.29 | | | | | | | | | | | | | | | | | | | | | | all_56_3 = e0
% 73.82/11.29 | | | | | | | | | | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | | | | | | | | | | | ALPHA: (193) implies:
% 73.82/11.29 | | | | | | | | | | | | | | | | | | | | | | (194) all_56_3 = e0
% 73.82/11.29 | | | | | | | | | | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (172), (194) imply:
% 73.82/11.29 | | | | | | | | | | | | | | | | | | | | | | (195) unit = e0
% 73.82/11.29 | | | | | | | | | | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (173), (195) imply:
% 73.82/11.29 | | | | | | | | | | | | | | | | | | | | | | (196) ~ (all_28_0 = e0)
% 73.82/11.29 | | | | | | | | | | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (179), (195) imply:
% 73.82/11.29 | | | | | | | | | | | | | | | | | | | | | | (197) ~ (all_8_0 = e0)
% 73.82/11.29 | | | | | | | | | | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2), (17), (18), (19), (21), (40), (42), (50),
% 73.82/11.29 | | | | | | | | | | | | | | | | | | | | | | (51), (55), (56), (61), (67), (69), (73), (77),
% 73.82/11.29 | | | | | | | | | | | | | | | | | | | | | | (78), (89), (91), (196), (197) are inconsistent by
% 73.82/11.29 | | | | | | | | | | | | | | | | | | | | | | sub-proof #81.
% 73.82/11.29 | | | | | | | | | | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | | | | | | | | | | End of split
% 73.82/11.29 | | | | | | | | | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | | | | | | | | | End of split
% 73.82/11.29 | | | | | | | | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | | | | | | | | End of split
% 73.82/11.29 | | | | | | | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | | | | | | | End of split
% 73.82/11.29 | | | | | | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | | | | | | Case 2:
% 73.82/11.29 | | | | | | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | | | | | | | (198) all_60_1 = e1 | all_60_1 = e0
% 73.82/11.29 | | | | | | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | | | | | | | REF_CLOSE: (63), (143), (153), (198) are inconsistent by
% 73.82/11.29 | | | | | | | | | | | | | | | | | | sub-proof #80.
% 73.82/11.29 | | | | | | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | | | | | | End of split
% 73.82/11.29 | | | | | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | | | | | End of split
% 73.82/11.29 | | | | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | | | | End of split
% 73.82/11.29 | | | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | | | Case 2:
% 73.82/11.29 | | | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | | | | (199) all_58_3 = e2
% 73.82/11.29 | | | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | | | | COMBINE_EQS: (23), (199) imply:
% 73.82/11.29 | | | | | | | | | | | | | | | (200) all_52_3 = e2
% 73.82/11.29 | | | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | | | | SIMP: (200) implies:
% 73.82/11.29 | | | | | | | | | | | | | | | (201) all_52_3 = e2
% 73.82/11.29 | | | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | | | | REDUCE: (151), (201) imply:
% 73.82/11.29 | | | | | | | | | | | | | | | (202) $false
% 73.82/11.29 | | | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | | | | CLOSE: (202) is inconsistent.
% 73.82/11.29 | | | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | | | End of split
% 73.82/11.29 | | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | | Case 2:
% 73.82/11.29 | | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | | | (203) all_58_3 = e2
% 73.82/11.29 | | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | | | COMBINE_EQS: (23), (203) imply:
% 73.82/11.29 | | | | | | | | | | | | | | (204) all_52_3 = e2
% 73.82/11.29 | | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | | | REDUCE: (74), (204) imply:
% 73.82/11.29 | | | | | | | | | | | | | | (205) op(e0, e2) = unit
% 73.82/11.29 | | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | | | GROUND_INST: instantiating (86) with all_20_0, unit, e2, e0,
% 73.82/11.29 | | | | | | | | | | | | | | simplifying with (85), (205) gives:
% 73.82/11.29 | | | | | | | | | | | | | | (206) all_20_0 = unit
% 73.82/11.29 | | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | | | REDUCE: (96), (206) imply:
% 73.82/11.29 | | | | | | | | | | | | | | (207) ~ (all_8_1 = unit)
% 73.82/11.29 | | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | | | SIMP: (207) implies:
% 73.82/11.29 | | | | | | | | | | | | | | (208) ~ (all_8_1 = unit)
% 73.82/11.29 | | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | | | REDUCE: (99), (206) imply:
% 73.82/11.29 | | | | | | | | | | | | | | (209) ~ (unit = e1)
% 73.82/11.29 | | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | | | BETA: splitting (8) gives:
% 73.82/11.29 | | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | | | Case 1:
% 73.82/11.29 | | | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | | | | (210) (all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 &
% 73.82/11.29 | | | | | | | | | | | | | | | all_56_3 = e3) | (all_56_0 = e2 & all_56_1 = e2
% 73.82/11.29 | | | | | | | | | | | | | | | & all_56_2 = e2 & all_56_3 = e2)
% 73.82/11.29 | | | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | | | | BETA: splitting (210) gives:
% 73.82/11.29 | | | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | | | | Case 1:
% 73.82/11.29 | | | | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | | | | | (211) all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 &
% 73.82/11.29 | | | | | | | | | | | | | | | | all_56_3 = e3
% 73.82/11.29 | | | | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | | | | | ALPHA: (211) implies:
% 73.82/11.29 | | | | | | | | | | | | | | | | (212) all_56_2 = e3
% 73.82/11.29 | | | | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | | | | | COMBINE_EQS: (148), (212) imply:
% 73.82/11.29 | | | | | | | | | | | | | | | | (213) unit = e3
% 73.82/11.29 | | | | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | | | | | REDUCE: (41), (213) imply:
% 73.82/11.29 | | | | | | | | | | | | | | | | (214) $false
% 73.82/11.29 | | | | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | | | | | CLOSE: (214) is inconsistent.
% 73.82/11.29 | | | | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | | | | Case 2:
% 73.82/11.29 | | | | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | | | | | (215) all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 &
% 73.82/11.29 | | | | | | | | | | | | | | | | all_56_3 = e2
% 73.82/11.29 | | | | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | | | | | ALPHA: (215) implies:
% 73.82/11.29 | | | | | | | | | | | | | | | | (216) all_56_3 = e2
% 73.82/11.29 | | | | | | | | | | | | | | | | (217) all_56_2 = e2
% 73.82/11.29 | | | | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | | | | | COMBINE_EQS: (148), (217) imply:
% 73.82/11.29 | | | | | | | | | | | | | | | | (218) unit = e2
% 73.82/11.29 | | | | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | | | | | COMBINE_EQS: (70), (216) imply:
% 73.82/11.29 | | | | | | | | | | | | | | | | (219) all_8_1 = e2
% 73.82/11.29 | | | | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | | | | | REDUCE: (208), (218), (219) imply:
% 73.82/11.29 | | | | | | | | | | | | | | | | (220) $false
% 73.82/11.29 | | | | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | | | | | CLOSE: (220) is inconsistent.
% 73.82/11.29 | | | | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | | | | End of split
% 73.82/11.29 | | | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | | | Case 2:
% 73.82/11.29 | | | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | | | | (221) (all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 &
% 73.82/11.29 | | | | | | | | | | | | | | | all_56_3 = e1) | (all_56_0 = e0 & all_56_1 = e0
% 73.82/11.29 | | | | | | | | | | | | | | | & all_56_2 = e0 & all_56_3 = e0)
% 73.82/11.29 | | | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | | | | BETA: splitting (221) gives:
% 73.82/11.29 | | | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | | | | Case 1:
% 73.82/11.29 | | | | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | | | | | (222) all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 &
% 73.82/11.29 | | | | | | | | | | | | | | | | all_56_3 = e1
% 73.82/11.29 | | | | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | | | | | ALPHA: (222) implies:
% 73.82/11.29 | | | | | | | | | | | | | | | | (223) all_56_2 = e1
% 73.82/11.29 | | | | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | | | | | COMBINE_EQS: (148), (223) imply:
% 73.82/11.29 | | | | | | | | | | | | | | | | (224) unit = e1
% 73.82/11.29 | | | | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | | | | | REDUCE: (209), (224) imply:
% 73.82/11.29 | | | | | | | | | | | | | | | | (225) $false
% 73.82/11.29 | | | | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | | | | | CLOSE: (225) is inconsistent.
% 73.82/11.29 | | | | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | | | | Case 2:
% 73.82/11.29 | | | | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | | | | | (226) all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 &
% 73.82/11.29 | | | | | | | | | | | | | | | | all_56_3 = e0
% 73.82/11.29 | | | | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | | | | | ALPHA: (226) implies:
% 73.82/11.29 | | | | | | | | | | | | | | | | (227) all_56_3 = e0
% 73.82/11.29 | | | | | | | | | | | | | | | | (228) all_56_2 = e0
% 73.82/11.29 | | | | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | | | | | COMBINE_EQS: (148), (228) imply:
% 73.82/11.29 | | | | | | | | | | | | | | | | (229) unit = e0
% 73.82/11.29 | | | | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | | | | | COMBINE_EQS: (70), (227) imply:
% 73.82/11.29 | | | | | | | | | | | | | | | | (230) all_8_1 = e0
% 73.82/11.29 | | | | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | | | | | REDUCE: (208), (229), (230) imply:
% 73.82/11.29 | | | | | | | | | | | | | | | | (231) $false
% 73.82/11.29 | | | | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | | | | | CLOSE: (231) is inconsistent.
% 73.82/11.29 | | | | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | | | | End of split
% 73.82/11.29 | | | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | | | End of split
% 73.82/11.29 | | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | | End of split
% 73.82/11.29 | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | Case 2:
% 73.82/11.29 | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | | (232) all_60_2 = e0
% 73.82/11.29 | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | | COMBINE_EQS: (35), (232) imply:
% 73.82/11.29 | | | | | | | | | | | | | (233) all_52_2 = e0
% 73.82/11.29 | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | | SIMP: (233) implies:
% 73.82/11.29 | | | | | | | | | | | | | (234) all_52_2 = e0
% 73.82/11.29 | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | | REDUCE: (109), (234) imply:
% 73.82/11.29 | | | | | | | | | | | | | (235) $false
% 73.82/11.29 | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | | CLOSE: (235) is inconsistent.
% 73.82/11.29 | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | End of split
% 73.82/11.29 | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | End of split
% 73.82/11.29 | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | End of split
% 73.82/11.29 | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | Case 2:
% 73.82/11.29 | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | (236) all_60_0 = e2 | all_60_0 = e1 | all_60_0 = e0
% 73.82/11.29 | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | BETA: splitting (236) gives:
% 73.82/11.29 | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | Case 1:
% 73.82/11.29 | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | (237) all_60_0 = e2
% 73.82/11.29 | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | COMBINE_EQS: (92), (237) imply:
% 73.82/11.29 | | | | | | | | | | | (238) all_52_0 = e2
% 73.82/11.29 | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | SIMP: (238) implies:
% 73.82/11.29 | | | | | | | | | | | (239) all_52_0 = e2
% 73.82/11.29 | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | REDUCE: (117), (239) imply:
% 73.82/11.29 | | | | | | | | | | | (240) $false
% 73.82/11.29 | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | CLOSE: (240) is inconsistent.
% 73.82/11.29 | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | Case 2:
% 73.82/11.29 | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | (241) all_60_0 = e1 | all_60_0 = e0
% 73.82/11.29 | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | BETA: splitting (241) gives:
% 73.82/11.29 | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | Case 1:
% 73.82/11.29 | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | (242) all_60_0 = e1
% 73.82/11.29 | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | COMBINE_EQS: (92), (242) imply:
% 73.82/11.29 | | | | | | | | | | | | (243) all_52_0 = e1
% 73.82/11.29 | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | REDUCE: (121), (243) imply:
% 73.82/11.29 | | | | | | | | | | | | (244) $false
% 73.82/11.29 | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | CLOSE: (244) is inconsistent.
% 73.82/11.29 | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | Case 2:
% 73.82/11.29 | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | (245) all_60_0 = e0
% 73.82/11.29 | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | COMBINE_EQS: (92), (245) imply:
% 73.82/11.29 | | | | | | | | | | | | (246) all_52_0 = e0
% 73.82/11.29 | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | REDUCE: (113), (246) imply:
% 73.82/11.29 | | | | | | | | | | | | (247) $false
% 73.82/11.29 | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | CLOSE: (247) is inconsistent.
% 73.82/11.29 | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | End of split
% 73.82/11.29 | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | End of split
% 73.82/11.29 | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | End of split
% 73.82/11.29 | | | | | | | | |
% 73.82/11.29 | | | | | | | | Case 2:
% 73.82/11.29 | | | | | | | | |
% 73.82/11.29 | | | | | | | | | (248) all_58_2 = e3
% 73.82/11.29 | | | | | | | | | (249) all_58_0 = e1
% 73.82/11.29 | | | | | | | | |
% 73.82/11.29 | | | | | | | | | COMBINE_EQS: (94), (249) imply:
% 73.82/11.29 | | | | | | | | | (250) all_52_0 = e1
% 73.82/11.29 | | | | | | | | |
% 73.82/11.29 | | | | | | | | | COMBINE_EQS: (62), (248) imply:
% 73.82/11.29 | | | | | | | | | (251) all_52_2 = e3
% 73.82/11.29 | | | | | | | | |
% 73.82/11.29 | | | | | | | | | SIMP: (251) implies:
% 73.82/11.29 | | | | | | | | | (252) all_52_2 = e3
% 73.82/11.29 | | | | | | | | |
% 73.82/11.29 | | | | | | | | | REDUCE: (12), (250) imply:
% 73.82/11.29 | | | | | | | | | (253) op(e3, e1) = unit
% 73.82/11.29 | | | | | | | | |
% 73.82/11.29 | | | | | | | | | REDUCE: (95), (252) imply:
% 73.82/11.29 | | | | | | | | | (254) op(e1, e3) = unit
% 73.82/11.29 | | | | | | | | |
% 73.82/11.29 | | | | | | | | | GROUND_INST: instantiating (86) with all_4_0, unit, e3, e1,
% 73.82/11.29 | | | | | | | | | simplifying with (101), (254) gives:
% 73.82/11.29 | | | | | | | | | (255) all_4_0 = unit
% 73.82/11.29 | | | | | | | | |
% 73.82/11.29 | | | | | | | | | GROUND_INST: instantiating (86) with all_40_0, unit, e1, e3,
% 73.82/11.29 | | | | | | | | | simplifying with (47), (253) gives:
% 73.82/11.29 | | | | | | | | | (256) all_40_0 = unit
% 73.82/11.29 | | | | | | | | |
% 73.82/11.29 | | | | | | | | | COMBINE_EQS: (3), (256) imply:
% 73.82/11.29 | | | | | | | | | (257) all_64_2 = unit
% 73.82/11.29 | | | | | | | | |
% 73.82/11.29 | | | | | | | | | REDUCE: (22), (256) imply:
% 73.82/11.29 | | | | | | | | | (258) ~ (all_12_0 = unit)
% 73.82/11.29 | | | | | | | | |
% 73.82/11.29 | | | | | | | | | SIMP: (258) implies:
% 73.82/11.29 | | | | | | | | | (259) ~ (all_12_0 = unit)
% 73.82/11.29 | | | | | | | | |
% 73.82/11.29 | | | | | | | | | REDUCE: (56), (255) imply:
% 73.82/11.29 | | | | | | | | | (260) ~ (all_8_0 = unit)
% 73.82/11.29 | | | | | | | | |
% 73.82/11.29 | | | | | | | | | REDUCE: (2), (255) imply:
% 73.82/11.29 | | | | | | | | | (261) ~ (unit = e2)
% 73.82/11.29 | | | | | | | | |
% 73.82/11.29 | | | | | | | | | REDUCE: (50), (255) imply:
% 73.82/11.29 | | | | | | | | | (262) ~ (unit = e0)
% 73.82/11.29 | | | | | | | | |
% 73.82/11.29 | | | | | | | | | BETA: splitting (14) gives:
% 73.82/11.29 | | | | | | | | |
% 73.82/11.29 | | | | | | | | | Case 1:
% 73.82/11.29 | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | (263) all_64_2 = e3
% 73.82/11.29 | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | COMBINE_EQS: (257), (263) imply:
% 73.82/11.29 | | | | | | | | | | (264) unit = e3
% 73.82/11.29 | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | SIMP: (264) implies:
% 73.82/11.29 | | | | | | | | | | (265) unit = e3
% 73.82/11.29 | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | REDUCE: (41), (265) imply:
% 73.82/11.29 | | | | | | | | | | (266) $false
% 73.82/11.29 | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | CLOSE: (266) is inconsistent.
% 73.82/11.29 | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | Case 2:
% 73.82/11.29 | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | (267) all_64_2 = e2 | all_64_2 = e1 | all_64_2 = e0
% 73.82/11.29 | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | BETA: splitting (267) gives:
% 73.82/11.29 | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | Case 1:
% 73.82/11.29 | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | (268) all_64_2 = e2
% 73.82/11.29 | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | COMBINE_EQS: (257), (268) imply:
% 73.82/11.29 | | | | | | | | | | | (269) unit = e2
% 73.82/11.29 | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | SIMP: (269) implies:
% 73.82/11.29 | | | | | | | | | | | (270) unit = e2
% 73.82/11.29 | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | REDUCE: (261), (270) imply:
% 73.82/11.29 | | | | | | | | | | | (271) $false
% 73.82/11.29 | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | CLOSE: (271) is inconsistent.
% 73.82/11.29 | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | Case 2:
% 73.82/11.29 | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | (272) all_64_2 = e1 | all_64_2 = e0
% 73.82/11.29 | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | BETA: splitting (272) gives:
% 73.82/11.29 | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | Case 1:
% 73.82/11.29 | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | (273) all_64_2 = e1
% 73.82/11.29 | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | COMBINE_EQS: (257), (273) imply:
% 73.82/11.29 | | | | | | | | | | | | (274) unit = e1
% 73.82/11.29 | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | SIMP: (274) implies:
% 73.82/11.29 | | | | | | | | | | | | (275) unit = e1
% 73.82/11.29 | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | REDUCE: (259), (275) imply:
% 73.82/11.29 | | | | | | | | | | | | (276) ~ (all_12_0 = e1)
% 73.82/11.29 | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | REDUCE: (260), (275) imply:
% 73.82/11.29 | | | | | | | | | | | | (277) ~ (all_8_0 = e1)
% 73.82/11.29 | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | REF_CLOSE: (16), (34), (44), (53), (66), (67), (69), (73),
% 73.82/11.29 | | | | | | | | | | | | (78), (81), (84), (90), (98), (102), (276), (277)
% 73.82/11.29 | | | | | | | | | | | | are inconsistent by sub-proof #87.
% 73.82/11.29 | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | Case 2:
% 73.82/11.29 | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | (278) all_64_2 = e0
% 73.82/11.29 | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | COMBINE_EQS: (257), (278) imply:
% 73.82/11.29 | | | | | | | | | | | | (279) unit = e0
% 73.82/11.29 | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | SIMP: (279) implies:
% 73.82/11.29 | | | | | | | | | | | | (280) unit = e0
% 73.82/11.29 | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | REDUCE: (262), (280) imply:
% 73.82/11.29 | | | | | | | | | | | | (281) $false
% 73.82/11.29 | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | CLOSE: (281) is inconsistent.
% 73.82/11.29 | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | End of split
% 73.82/11.29 | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | End of split
% 73.82/11.29 | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | End of split
% 73.82/11.29 | | | | | | | | |
% 73.82/11.29 | | | | | | | | End of split
% 73.82/11.29 | | | | | | | |
% 73.82/11.29 | | | | | | | Case 2:
% 73.82/11.29 | | | | | | | |
% 73.82/11.29 | | | | | | | | (282) all_58_2 = e2
% 73.82/11.29 | | | | | | | | (283) all_58_1 = e1
% 73.82/11.29 | | | | | | | |
% 73.82/11.29 | | | | | | | | COMBINE_EQS: (52), (283) imply:
% 73.82/11.29 | | | | | | | | (284) all_52_1 = e1
% 73.82/11.29 | | | | | | | |
% 73.82/11.29 | | | | | | | | SIMP: (284) implies:
% 73.82/11.29 | | | | | | | | (285) all_52_1 = e1
% 73.82/11.29 | | | | | | | |
% 73.82/11.29 | | | | | | | | COMBINE_EQS: (62), (282) imply:
% 73.82/11.29 | | | | | | | | (286) all_52_2 = e2
% 73.82/11.29 | | | | | | | |
% 73.82/11.29 | | | | | | | | REDUCE: (97), (285) imply:
% 73.82/11.29 | | | | | | | | (287) ~ (all_52_3 = e1)
% 73.82/11.29 | | | | | | | |
% 73.82/11.29 | | | | | | | | REDUCE: (32), (286) imply:
% 73.82/11.29 | | | | | | | | (288) ~ (all_52_3 = e2)
% 73.82/11.29 | | | | | | | |
% 73.82/11.29 | | | | | | | | SIMP: (288) implies:
% 73.82/11.29 | | | | | | | | (289) ~ (all_52_3 = e2)
% 73.82/11.29 | | | | | | | |
% 73.82/11.29 | | | | | | | | REDUCE: (95), (286) imply:
% 73.82/11.29 | | | | | | | | (290) op(e1, e2) = unit
% 73.82/11.29 | | | | | | | |
% 73.82/11.29 | | | | | | | | BETA: splitting (20) gives:
% 73.82/11.29 | | | | | | | |
% 73.82/11.29 | | | | | | | | Case 1:
% 73.82/11.29 | | | | | | | | |
% 73.82/11.29 | | | | | | | | | (291) all_60_3 = e3
% 73.82/11.29 | | | | | | | | |
% 73.82/11.29 | | | | | | | | | REF_CLOSE: (13), (111), (291) are inconsistent by sub-proof
% 73.82/11.29 | | | | | | | | | #103.
% 73.82/11.29 | | | | | | | | |
% 73.82/11.29 | | | | | | | | Case 2:
% 73.82/11.29 | | | | | | | | |
% 73.82/11.29 | | | | | | | | | (292) all_60_3 = e2 | all_60_3 = e1 | all_60_3 = e0
% 73.82/11.29 | | | | | | | | |
% 73.82/11.29 | | | | | | | | | BETA: splitting (292) gives:
% 73.82/11.29 | | | | | | | | |
% 73.82/11.29 | | | | | | | | | Case 1:
% 73.82/11.29 | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | (293) all_60_3 = e2
% 73.82/11.29 | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | REF_CLOSE: (13), (289), (293) are inconsistent by sub-proof
% 73.82/11.29 | | | | | | | | | | #102.
% 73.82/11.29 | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | Case 2:
% 73.82/11.29 | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | (294) all_60_3 = e1 | all_60_3 = e0
% 73.82/11.29 | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | BETA: splitting (294) gives:
% 73.82/11.29 | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | Case 1:
% 73.82/11.29 | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | (295) all_60_3 = e1
% 73.82/11.29 | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | REF_CLOSE: (13), (107), (295) are inconsistent by sub-proof
% 73.82/11.29 | | | | | | | | | | | #101.
% 73.82/11.29 | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | Case 2:
% 73.82/11.29 | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | (296) all_60_3 = e0
% 73.82/11.29 | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | COMBINE_EQS: (13), (296) imply:
% 73.82/11.29 | | | | | | | | | | | (297) all_52_3 = e0
% 73.82/11.29 | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | SIMP: (297) implies:
% 73.82/11.29 | | | | | | | | | | | (298) all_52_3 = e0
% 73.82/11.29 | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | REDUCE: (74), (298) imply:
% 73.82/11.29 | | | | | | | | | | | (299) op(e0, e0) = unit
% 73.82/11.29 | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | GROUND_INST: instantiating (86) with all_8_1, unit, e0, e0,
% 73.82/11.29 | | | | | | | | | | | simplifying with (87), (299) gives:
% 73.82/11.29 | | | | | | | | | | | (300) all_8_1 = unit
% 73.82/11.29 | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | GROUND_INST: instantiating (86) with all_10_0, unit, e2, e1,
% 73.82/11.29 | | | | | | | | | | | simplifying with (37), (290) gives:
% 73.82/11.29 | | | | | | | | | | | (301) all_10_0 = unit
% 73.82/11.29 | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | COMBINE_EQS: (70), (300) imply:
% 73.82/11.29 | | | | | | | | | | | (302) all_56_3 = unit
% 73.82/11.29 | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | REDUCE: (36), (301) imply:
% 73.82/11.29 | | | | | | | | | | | (303) ~ (all_10_1 = unit)
% 73.82/11.29 | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | SIMP: (303) implies:
% 73.82/11.29 | | | | | | | | | | | (304) ~ (all_10_1 = unit)
% 73.82/11.29 | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | REDUCE: (65), (301) imply:
% 73.82/11.29 | | | | | | | | | | | (305) ~ (unit = e0)
% 73.82/11.29 | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | BETA: splitting (8) gives:
% 73.82/11.29 | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | Case 1:
% 73.82/11.29 | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | (306) (all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 &
% 73.82/11.29 | | | | | | | | | | | | all_56_3 = e3) | (all_56_0 = e2 & all_56_1 = e2
% 73.82/11.29 | | | | | | | | | | | | & all_56_2 = e2 & all_56_3 = e2)
% 73.82/11.29 | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | BETA: splitting (306) gives:
% 73.82/11.29 | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | Case 1:
% 73.82/11.29 | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | | (307) all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 &
% 73.82/11.29 | | | | | | | | | | | | | all_56_3 = e3
% 73.82/11.29 | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | | REF_CLOSE: (41), (302), (307) are inconsistent by sub-proof
% 73.82/11.29 | | | | | | | | | | | | | #100.
% 73.82/11.29 | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | Case 2:
% 73.82/11.29 | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | | (308) all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 &
% 73.82/11.29 | | | | | | | | | | | | | all_56_3 = e2
% 73.82/11.29 | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | | ALPHA: (308) implies:
% 73.82/11.29 | | | | | | | | | | | | | (309) all_56_3 = e2
% 73.82/11.29 | | | | | | | | | | | | | (310) all_56_1 = e2
% 73.82/11.29 | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | | COMBINE_EQS: (71), (310) imply:
% 73.82/11.29 | | | | | | | | | | | | | (311) all_10_1 = e2
% 73.82/11.29 | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | | COMBINE_EQS: (302), (309) imply:
% 73.82/11.29 | | | | | | | | | | | | | (312) unit = e2
% 73.82/11.29 | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | | REDUCE: (304), (311), (312) imply:
% 73.82/11.29 | | | | | | | | | | | | | (313) $false
% 73.82/11.29 | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | | CLOSE: (313) is inconsistent.
% 73.82/11.29 | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | End of split
% 73.82/11.29 | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | Case 2:
% 73.82/11.29 | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | (314) (all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 &
% 73.82/11.29 | | | | | | | | | | | | all_56_3 = e1) | (all_56_0 = e0 & all_56_1 = e0
% 73.82/11.29 | | | | | | | | | | | | & all_56_2 = e0 & all_56_3 = e0)
% 73.82/11.29 | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | BETA: splitting (314) gives:
% 73.82/11.29 | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | Case 1:
% 73.82/11.29 | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | | (315) all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 &
% 73.82/11.29 | | | | | | | | | | | | | all_56_3 = e1
% 73.82/11.29 | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | | ALPHA: (315) implies:
% 73.82/11.29 | | | | | | | | | | | | | (316) all_56_3 = e1
% 73.82/11.29 | | | | | | | | | | | | | (317) all_56_1 = e1
% 73.82/11.29 | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | | COMBINE_EQS: (71), (317) imply:
% 73.82/11.29 | | | | | | | | | | | | | (318) all_10_1 = e1
% 73.82/11.29 | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | | COMBINE_EQS: (302), (316) imply:
% 73.82/11.29 | | | | | | | | | | | | | (319) unit = e1
% 73.82/11.29 | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | | REDUCE: (304), (318), (319) imply:
% 73.82/11.29 | | | | | | | | | | | | | (320) $false
% 73.82/11.29 | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | | CLOSE: (320) is inconsistent.
% 73.82/11.29 | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | Case 2:
% 73.82/11.29 | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | | (321) all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 &
% 73.82/11.29 | | | | | | | | | | | | | all_56_3 = e0
% 73.82/11.29 | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | | ALPHA: (321) implies:
% 73.82/11.29 | | | | | | | | | | | | | (322) all_56_3 = e0
% 73.82/11.29 | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | | COMBINE_EQS: (302), (322) imply:
% 73.82/11.29 | | | | | | | | | | | | | (323) unit = e0
% 73.82/11.29 | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | | REDUCE: (305), (323) imply:
% 73.82/11.29 | | | | | | | | | | | | | (324) $false
% 73.82/11.29 | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | | CLOSE: (324) is inconsistent.
% 73.82/11.29 | | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | | End of split
% 73.82/11.29 | | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | End of split
% 73.82/11.29 | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | End of split
% 73.82/11.29 | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | End of split
% 73.82/11.29 | | | | | | | | |
% 73.82/11.29 | | | | | | | | End of split
% 73.82/11.29 | | | | | | | |
% 73.82/11.29 | | | | | | | End of split
% 73.82/11.29 | | | | | | |
% 73.82/11.29 | | | | | | Case 2:
% 73.82/11.29 | | | | | | |
% 73.82/11.29 | | | | | | | (325) all_58_1 = e3
% 73.82/11.29 | | | | | | |
% 73.82/11.29 | | | | | | | COMBINE_EQS: (52), (325) imply:
% 73.82/11.29 | | | | | | | (326) all_52_1 = e3
% 73.82/11.29 | | | | | | |
% 73.82/11.29 | | | | | | | SIMP: (326) implies:
% 73.82/11.29 | | | | | | | (327) all_52_1 = e3
% 73.82/11.29 | | | | | | |
% 73.82/11.29 | | | | | | | REDUCE: (115), (327) imply:
% 73.82/11.29 | | | | | | | (328) $false
% 73.82/11.29 | | | | | | |
% 73.82/11.29 | | | | | | | CLOSE: (328) is inconsistent.
% 73.82/11.29 | | | | | | |
% 73.82/11.29 | | | | | | End of split
% 73.82/11.29 | | | | | |
% 73.82/11.29 | | | | | Case 2:
% 73.82/11.29 | | | | | |
% 73.82/11.29 | | | | | | (329) all_58_1 = e3
% 73.82/11.29 | | | | | | (330) all_58_0 = e2
% 73.82/11.29 | | | | | |
% 73.82/11.29 | | | | | | COMBINE_EQS: (94), (330) imply:
% 73.82/11.29 | | | | | | (331) all_52_0 = e2
% 73.82/11.29 | | | | | |
% 73.82/11.29 | | | | | | SIMP: (331) implies:
% 73.82/11.29 | | | | | | (332) all_52_0 = e2
% 73.82/11.29 | | | | | |
% 73.82/11.29 | | | | | | COMBINE_EQS: (52), (329) imply:
% 73.82/11.29 | | | | | | (333) all_52_1 = e3
% 73.82/11.29 | | | | | |
% 73.82/11.29 | | | | | | REDUCE: (39), (332) imply:
% 73.82/11.29 | | | | | | (334) ~ (all_52_3 = e2)
% 73.82/11.29 | | | | | |
% 73.82/11.29 | | | | | | SIMP: (334) implies:
% 73.82/11.29 | | | | | | (335) ~ (all_52_3 = e2)
% 73.82/11.29 | | | | | |
% 73.82/11.29 | | | | | | REDUCE: (97), (333) imply:
% 73.82/11.29 | | | | | | (336) ~ (all_52_3 = e3)
% 73.82/11.29 | | | | | |
% 73.82/11.29 | | | | | | REDUCE: (59), (333) imply:
% 73.82/11.29 | | | | | | (337) op(e2, e3) = unit
% 73.82/11.29 | | | | | |
% 73.82/11.29 | | | | | | BETA: splitting (20) gives:
% 73.82/11.29 | | | | | |
% 73.82/11.29 | | | | | | Case 1:
% 73.82/11.29 | | | | | | |
% 73.82/11.29 | | | | | | | (338) all_60_3 = e3
% 73.82/11.29 | | | | | | |
% 73.82/11.29 | | | | | | | REF_CLOSE: (13), (111), (338) are inconsistent by sub-proof #103.
% 73.82/11.29 | | | | | | |
% 73.82/11.29 | | | | | | Case 2:
% 73.82/11.29 | | | | | | |
% 73.82/11.29 | | | | | | | (339) all_60_3 = e2 | all_60_3 = e1 | all_60_3 = e0
% 73.82/11.29 | | | | | | |
% 73.82/11.29 | | | | | | | BETA: splitting (339) gives:
% 73.82/11.29 | | | | | | |
% 73.82/11.29 | | | | | | | Case 1:
% 73.82/11.29 | | | | | | | |
% 73.82/11.29 | | | | | | | | (340) all_60_3 = e2
% 73.82/11.29 | | | | | | | |
% 73.82/11.29 | | | | | | | | REF_CLOSE: (13), (335), (340) are inconsistent by sub-proof
% 73.82/11.29 | | | | | | | | #102.
% 73.82/11.29 | | | | | | | |
% 73.82/11.29 | | | | | | | Case 2:
% 73.82/11.29 | | | | | | | |
% 73.82/11.29 | | | | | | | | (341) all_60_3 = e1 | all_60_3 = e0
% 73.82/11.29 | | | | | | | |
% 73.82/11.29 | | | | | | | | BETA: splitting (341) gives:
% 73.82/11.29 | | | | | | | |
% 73.82/11.29 | | | | | | | | Case 1:
% 73.82/11.29 | | | | | | | | |
% 73.82/11.29 | | | | | | | | | (342) all_60_3 = e1
% 73.82/11.29 | | | | | | | | |
% 73.82/11.29 | | | | | | | | | REF_CLOSE: (13), (107), (342) are inconsistent by sub-proof
% 73.82/11.29 | | | | | | | | | #101.
% 73.82/11.29 | | | | | | | | |
% 73.82/11.29 | | | | | | | | Case 2:
% 73.82/11.29 | | | | | | | | |
% 73.82/11.29 | | | | | | | | | (343) all_60_3 = e0
% 73.82/11.29 | | | | | | | | |
% 73.82/11.29 | | | | | | | | | COMBINE_EQS: (13), (343) imply:
% 73.82/11.29 | | | | | | | | | (344) all_52_3 = e0
% 73.82/11.29 | | | | | | | | |
% 73.82/11.29 | | | | | | | | | SIMP: (344) implies:
% 73.82/11.29 | | | | | | | | | (345) all_52_3 = e0
% 73.82/11.29 | | | | | | | | |
% 73.82/11.29 | | | | | | | | | REDUCE: (74), (345) imply:
% 73.82/11.29 | | | | | | | | | (346) op(e0, e0) = unit
% 73.82/11.29 | | | | | | | | |
% 73.82/11.29 | | | | | | | | | GROUND_INST: instantiating (86) with all_8_1, unit, e0, e0,
% 73.82/11.29 | | | | | | | | | simplifying with (87), (346) gives:
% 73.82/11.29 | | | | | | | | | (347) all_8_1 = unit
% 73.82/11.29 | | | | | | | | |
% 73.82/11.29 | | | | | | | | | GROUND_INST: instantiating (86) with all_6_0, unit, e3, e2,
% 73.82/11.29 | | | | | | | | | simplifying with (103), (337) gives:
% 73.82/11.29 | | | | | | | | | (348) all_6_0 = unit
% 73.82/11.29 | | | | | | | | |
% 73.82/11.29 | | | | | | | | | COMBINE_EQS: (70), (347) imply:
% 73.82/11.29 | | | | | | | | | (349) all_56_3 = unit
% 73.82/11.29 | | | | | | | | |
% 73.82/11.29 | | | | | | | | | REDUCE: (80), (348) imply:
% 73.82/11.29 | | | | | | | | | (350) ~ (all_4_1 = unit)
% 73.82/11.29 | | | | | | | | |
% 73.82/11.29 | | | | | | | | | SIMP: (350) implies:
% 73.82/11.29 | | | | | | | | | (351) ~ (all_4_1 = unit)
% 73.82/11.29 | | | | | | | | |
% 73.82/11.29 | | | | | | | | | REDUCE: (89), (348) imply:
% 73.82/11.29 | | | | | | | | | (352) ~ (unit = e1)
% 73.82/11.29 | | | | | | | | |
% 73.82/11.29 | | | | | | | | | REDUCE: (77), (348) imply:
% 73.82/11.29 | | | | | | | | | (353) ~ (unit = e0)
% 73.82/11.29 | | | | | | | | |
% 73.82/11.29 | | | | | | | | | BETA: splitting (8) gives:
% 73.82/11.29 | | | | | | | | |
% 73.82/11.29 | | | | | | | | | Case 1:
% 73.82/11.29 | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | (354) (all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 &
% 73.82/11.29 | | | | | | | | | | all_56_3 = e3) | (all_56_0 = e2 & all_56_1 = e2 &
% 73.82/11.29 | | | | | | | | | | all_56_2 = e2 & all_56_3 = e2)
% 73.82/11.29 | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | BETA: splitting (354) gives:
% 73.82/11.29 | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | Case 1:
% 73.82/11.29 | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | (355) all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 &
% 73.82/11.29 | | | | | | | | | | | all_56_3 = e3
% 73.82/11.29 | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | ALPHA: (355) implies:
% 73.82/11.29 | | | | | | | | | | | (356) all_56_3 = e3
% 73.82/11.29 | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | COMBINE_EQS: (349), (356) imply:
% 73.82/11.29 | | | | | | | | | | | (357) unit = e3
% 73.82/11.29 | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | SIMP: (357) implies:
% 73.82/11.29 | | | | | | | | | | | (358) unit = e3
% 73.82/11.29 | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | REDUCE: (41), (358) imply:
% 73.82/11.29 | | | | | | | | | | | (359) $false
% 73.82/11.29 | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | | CLOSE: (359) is inconsistent.
% 73.82/11.29 | | | | | | | | | | |
% 73.82/11.29 | | | | | | | | | | Case 2:
% 73.82/11.29 | | | | | | | | | | |
% 73.82/11.30 | | | | | | | | | | | (360) all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 &
% 73.82/11.30 | | | | | | | | | | | all_56_3 = e2
% 73.82/11.30 | | | | | | | | | | |
% 73.82/11.30 | | | | | | | | | | | ALPHA: (360) implies:
% 73.82/11.30 | | | | | | | | | | | (361) all_56_3 = e2
% 73.82/11.30 | | | | | | | | | | | (362) all_56_0 = e2
% 73.82/11.30 | | | | | | | | | | |
% 73.82/11.30 | | | | | | | | | | | COMBINE_EQS: (104), (362) imply:
% 73.82/11.30 | | | | | | | | | | | (363) all_4_1 = e2
% 73.82/11.30 | | | | | | | | | | |
% 73.82/11.30 | | | | | | | | | | | SIMP: (363) implies:
% 73.82/11.30 | | | | | | | | | | | (364) all_4_1 = e2
% 73.82/11.30 | | | | | | | | | | |
% 73.82/11.30 | | | | | | | | | | | COMBINE_EQS: (349), (361) imply:
% 73.82/11.30 | | | | | | | | | | | (365) unit = e2
% 73.82/11.30 | | | | | | | | | | |
% 73.82/11.30 | | | | | | | | | | | SIMP: (365) implies:
% 73.82/11.30 | | | | | | | | | | | (366) unit = e2
% 73.82/11.30 | | | | | | | | | | |
% 73.82/11.30 | | | | | | | | | | | REDUCE: (351), (364), (366) imply:
% 73.82/11.30 | | | | | | | | | | | (367) $false
% 73.82/11.30 | | | | | | | | | | |
% 73.82/11.30 | | | | | | | | | | | CLOSE: (367) is inconsistent.
% 73.82/11.30 | | | | | | | | | | |
% 73.82/11.30 | | | | | | | | | | End of split
% 73.82/11.30 | | | | | | | | | |
% 73.82/11.30 | | | | | | | | | Case 2:
% 73.82/11.30 | | | | | | | | | |
% 73.82/11.30 | | | | | | | | | | (368) (all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 &
% 73.82/11.30 | | | | | | | | | | all_56_3 = e1) | (all_56_0 = e0 & all_56_1 = e0 &
% 73.82/11.30 | | | | | | | | | | all_56_2 = e0 & all_56_3 = e0)
% 73.82/11.30 | | | | | | | | | |
% 73.82/11.30 | | | | | | | | | | BETA: splitting (368) gives:
% 73.82/11.30 | | | | | | | | | |
% 73.82/11.30 | | | | | | | | | | Case 1:
% 73.82/11.30 | | | | | | | | | | |
% 73.82/11.30 | | | | | | | | | | | (369) all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 &
% 73.82/11.30 | | | | | | | | | | | all_56_3 = e1
% 73.82/11.30 | | | | | | | | | | |
% 73.82/11.30 | | | | | | | | | | | ALPHA: (369) implies:
% 73.82/11.30 | | | | | | | | | | | (370) all_56_3 = e1
% 73.82/11.30 | | | | | | | | | | |
% 73.82/11.30 | | | | | | | | | | | COMBINE_EQS: (349), (370) imply:
% 73.82/11.30 | | | | | | | | | | | (371) unit = e1
% 73.82/11.30 | | | | | | | | | | |
% 73.82/11.30 | | | | | | | | | | | SIMP: (371) implies:
% 73.82/11.30 | | | | | | | | | | | (372) unit = e1
% 73.82/11.30 | | | | | | | | | | |
% 73.82/11.30 | | | | | | | | | | | REDUCE: (352), (372) imply:
% 73.82/11.30 | | | | | | | | | | | (373) $false
% 73.82/11.30 | | | | | | | | | | |
% 73.82/11.30 | | | | | | | | | | | CLOSE: (373) is inconsistent.
% 73.82/11.30 | | | | | | | | | | |
% 73.82/11.30 | | | | | | | | | | Case 2:
% 73.82/11.30 | | | | | | | | | | |
% 73.82/11.30 | | | | | | | | | | | (374) all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 &
% 73.82/11.30 | | | | | | | | | | | all_56_3 = e0
% 73.82/11.30 | | | | | | | | | | |
% 73.82/11.30 | | | | | | | | | | | ALPHA: (374) implies:
% 73.82/11.30 | | | | | | | | | | | (375) all_56_3 = e0
% 73.82/11.30 | | | | | | | | | | |
% 73.82/11.30 | | | | | | | | | | | COMBINE_EQS: (349), (375) imply:
% 73.82/11.30 | | | | | | | | | | | (376) unit = e0
% 73.82/11.30 | | | | | | | | | | |
% 73.82/11.30 | | | | | | | | | | | SIMP: (376) implies:
% 73.82/11.30 | | | | | | | | | | | (377) unit = e0
% 73.82/11.30 | | | | | | | | | | |
% 73.82/11.30 | | | | | | | | | | | REDUCE: (353), (377) imply:
% 73.82/11.30 | | | | | | | | | | | (378) $false
% 73.82/11.30 | | | | | | | | | | |
% 73.82/11.30 | | | | | | | | | | | CLOSE: (378) is inconsistent.
% 73.82/11.30 | | | | | | | | | | |
% 73.82/11.30 | | | | | | | | | | End of split
% 73.82/11.30 | | | | | | | | | |
% 73.82/11.30 | | | | | | | | | End of split
% 73.82/11.30 | | | | | | | | |
% 73.82/11.30 | | | | | | | | End of split
% 73.82/11.30 | | | | | | | |
% 73.82/11.30 | | | | | | | End of split
% 73.82/11.30 | | | | | | |
% 73.82/11.30 | | | | | | End of split
% 73.82/11.30 | | | | | |
% 73.82/11.30 | | | | | End of split
% 73.82/11.30 | | | | |
% 73.82/11.30 | | | | Case 2:
% 73.82/11.30 | | | | |
% 73.82/11.30 | | | | | (379) all_58_3 = e3
% 73.82/11.30 | | | | |
% 73.82/11.30 | | | | | COMBINE_EQS: (23), (379) imply:
% 73.82/11.30 | | | | | (380) all_52_3 = e3
% 73.82/11.30 | | | | |
% 73.82/11.30 | | | | | SIMP: (380) implies:
% 73.82/11.30 | | | | | (381) all_52_3 = e3
% 73.82/11.30 | | | | |
% 73.82/11.30 | | | | | REDUCE: (111), (381) imply:
% 73.82/11.30 | | | | | (382) $false
% 73.82/11.30 | | | | |
% 73.82/11.30 | | | | | CLOSE: (382) is inconsistent.
% 73.82/11.30 | | | | |
% 73.82/11.30 | | | | End of split
% 73.82/11.30 | | | |
% 73.82/11.30 | | | Case 2:
% 73.82/11.30 | | | |
% 73.82/11.30 | | | | (383) all_58_3 = e3
% 73.82/11.30 | | | | (384) all_58_0 = e0
% 73.82/11.30 | | | |
% 73.82/11.30 | | | | COMBINE_EQS: (94), (384) imply:
% 73.82/11.30 | | | | (385) all_52_0 = e0
% 73.82/11.30 | | | |
% 73.82/11.30 | | | | SIMP: (385) implies:
% 73.82/11.30 | | | | (386) all_52_0 = e0
% 73.82/11.30 | | | |
% 73.82/11.30 | | | | COMBINE_EQS: (23), (383) imply:
% 73.82/11.30 | | | | (387) all_52_3 = e3
% 73.82/11.30 | | | |
% 73.82/11.30 | | | | SIMP: (387) implies:
% 73.82/11.30 | | | | (388) all_52_3 = e3
% 73.82/11.30 | | | |
% 73.82/11.30 | | | | REDUCE: (12), (386) imply:
% 73.82/11.30 | | | | (389) op(e3, e0) = unit
% 73.82/11.30 | | | |
% 73.82/11.30 | | | | REDUCE: (74), (388) imply:
% 73.82/11.30 | | | | (390) op(e0, e3) = unit
% 73.82/11.30 | | | |
% 73.82/11.30 | | | | GROUND_INST: instantiating (86) with all_28_0, unit, e3, e0, simplifying
% 73.82/11.30 | | | | with (45), (390) gives:
% 73.82/11.30 | | | | (391) all_28_0 = unit
% 73.82/11.30 | | | |
% 73.82/11.30 | | | | GROUND_INST: instantiating (86) with all_36_0, unit, e0, e3, simplifying
% 73.82/11.30 | | | | with (46), (389) gives:
% 73.82/11.30 | | | | (392) all_36_0 = unit
% 73.82/11.30 | | | |
% 73.82/11.30 | | | | REDUCE: (100), (392) imply:
% 73.82/11.30 | | | | (393) ~ (all_22_0 = unit)
% 73.82/11.30 | | | |
% 73.82/11.30 | | | | SIMP: (393) implies:
% 73.82/11.30 | | | | (394) ~ (all_22_0 = unit)
% 73.82/11.30 | | | |
% 73.82/11.30 | | | | REDUCE: (42), (391) imply:
% 73.82/11.30 | | | | (395) ~ (all_6_0 = unit)
% 73.82/11.30 | | | |
% 73.82/11.30 | | | | SIMP: (395) implies:
% 73.82/11.30 | | | | (396) ~ (all_6_0 = unit)
% 73.82/11.30 | | | |
% 73.82/11.30 | | | | REDUCE: (17), (391) imply:
% 73.82/11.30 | | | | (397) ~ (all_4_0 = unit)
% 73.82/11.30 | | | |
% 73.82/11.30 | | | | SIMP: (397) implies:
% 73.82/11.30 | | | | (398) ~ (all_4_0 = unit)
% 73.82/11.30 | | | |
% 73.82/11.30 | | | | REDUCE: (31), (391) imply:
% 73.82/11.30 | | | | (399) ~ (all_4_1 = unit)
% 73.82/11.30 | | | |
% 73.82/11.30 | | | | SIMP: (399) implies:
% 73.82/11.30 | | | | (400) ~ (all_4_1 = unit)
% 73.82/11.30 | | | |
% 73.82/11.30 | | | | REDUCE: (11), (391) imply:
% 73.82/11.30 | | | | (401) ~ (unit = e2)
% 73.82/11.30 | | | |
% 73.82/11.30 | | | | REDUCE: (55), (391) imply:
% 73.82/11.30 | | | | (402) ~ (unit = e1)
% 73.82/11.30 | | | |
% 73.82/11.30 | | | | BETA: splitting (5) gives:
% 73.82/11.30 | | | |
% 73.82/11.30 | | | | Case 1:
% 73.82/11.30 | | | | |
% 73.82/11.30 | | | | | (403) unit = e2
% 73.82/11.30 | | | | |
% 73.82/11.30 | | | | | REDUCE: (401), (403) imply:
% 73.82/11.30 | | | | | (404) $false
% 73.82/11.30 | | | | |
% 73.82/11.30 | | | | | CLOSE: (404) is inconsistent.
% 73.82/11.30 | | | | |
% 73.82/11.30 | | | | Case 2:
% 73.82/11.30 | | | | |
% 73.82/11.30 | | | | | (405) unit = e1 | unit = e0
% 73.82/11.30 | | | | |
% 73.82/11.30 | | | | | BETA: splitting (405) gives:
% 73.82/11.30 | | | | |
% 73.82/11.30 | | | | | Case 1:
% 73.82/11.30 | | | | | |
% 73.82/11.30 | | | | | | (406) unit = e1
% 73.82/11.30 | | | | | |
% 73.82/11.30 | | | | | | REDUCE: (402), (406) imply:
% 73.82/11.30 | | | | | | (407) $false
% 73.82/11.30 | | | | | |
% 73.82/11.30 | | | | | | CLOSE: (407) is inconsistent.
% 73.82/11.30 | | | | | |
% 73.82/11.30 | | | | | Case 2:
% 73.82/11.30 | | | | | |
% 73.82/11.30 | | | | | | (408) unit = e0
% 73.82/11.30 | | | | | |
% 73.82/11.30 | | | | | | REDUCE: (394), (408) imply:
% 73.82/11.30 | | | | | | (409) ~ (all_22_0 = e0)
% 73.82/11.30 | | | | | |
% 73.82/11.30 | | | | | | REDUCE: (400), (408) imply:
% 73.82/11.30 | | | | | | (410) ~ (all_4_1 = e0)
% 73.82/11.30 | | | | | |
% 73.82/11.30 | | | | | | BETA: splitting (53) gives:
% 73.82/11.30 | | | | | |
% 73.82/11.30 | | | | | | Case 1:
% 73.82/11.30 | | | | | | |
% 73.82/11.30 | | | | | | | (411) all_64_7 = e3
% 73.82/11.30 | | | | | | |
% 73.82/11.30 | | | | | | | COMBINE_EQS: (102), (411) imply:
% 73.82/11.30 | | | | | | | (412) all_22_0 = e3
% 73.82/11.30 | | | | | | |
% 73.82/11.30 | | | | | | | REDUCE: (44), (412) imply:
% 73.82/11.30 | | | | | | | (413) $false
% 73.82/11.30 | | | | | | |
% 73.82/11.30 | | | | | | | CLOSE: (413) is inconsistent.
% 73.82/11.30 | | | | | | |
% 73.82/11.30 | | | | | | Case 2:
% 73.82/11.30 | | | | | | |
% 73.82/11.30 | | | | | | | (414) all_64_7 = e2 | all_64_7 = e1 | all_64_7 = e0
% 73.82/11.30 | | | | | | |
% 73.82/11.30 | | | | | | | BETA: splitting (414) gives:
% 73.82/11.30 | | | | | | |
% 73.82/11.30 | | | | | | | Case 1:
% 73.82/11.30 | | | | | | | |
% 73.82/11.30 | | | | | | | | (415) all_64_7 = e2
% 73.82/11.30 | | | | | | | |
% 73.82/11.30 | | | | | | | | COMBINE_EQS: (102), (415) imply:
% 73.82/11.30 | | | | | | | | (416) all_22_0 = e2
% 73.82/11.30 | | | | | | | |
% 73.82/11.30 | | | | | | | | REDUCE: (29), (416) imply:
% 73.82/11.30 | | | | | | | | (417) ~ (all_6_0 = e2)
% 73.82/11.30 | | | | | | | |
% 73.82/11.30 | | | | | | | | SIMP: (417) implies:
% 73.82/11.30 | | | | | | | | (418) ~ (all_6_0 = e2)
% 73.82/11.30 | | | | | | | |
% 73.82/11.30 | | | | | | | | REDUCE: (84), (416) imply:
% 73.82/11.30 | | | | | | | | (419) ~ (e2 = e1)
% 73.82/11.30 | | | | | | | |
% 73.82/11.30 | | | | | | | | REDUCE: (409), (416) imply:
% 73.82/11.30 | | | | | | | | (420) ~ (e2 = e0)
% 73.82/11.30 | | | | | | | |
% 73.82/11.30 | | | | | | | | REF_CLOSE: (1), (2), (6), (8), (15), (18), (19), (21), (30),
% 73.82/11.30 | | | | | | | | (36), (50), (61), (65), (71), (72), (77), (80), (88),
% 73.82/11.30 | | | | | | | | (89), (91), (93), (104), (410), (418), (419), (420)
% 73.82/11.30 | | | | | | | | are inconsistent by sub-proof #76.
% 73.82/11.30 | | | | | | | |
% 73.82/11.30 | | | | | | | Case 2:
% 73.82/11.30 | | | | | | | |
% 73.82/11.30 | | | | | | | | (421) all_64_7 = e1 | all_64_7 = e0
% 73.82/11.30 | | | | | | | |
% 73.82/11.30 | | | | | | | | REF_CLOSE: (84), (102), (409), (421) are inconsistent by
% 73.82/11.30 | | | | | | | | sub-proof #75.
% 73.82/11.30 | | | | | | | |
% 73.82/11.30 | | | | | | | End of split
% 73.82/11.30 | | | | | | |
% 73.82/11.30 | | | | | | End of split
% 73.82/11.30 | | | | | |
% 73.82/11.30 | | | | | End of split
% 73.82/11.30 | | | | |
% 73.82/11.30 | | | | End of split
% 73.82/11.30 | | | |
% 73.82/11.30 | | | End of split
% 73.82/11.30 | | |
% 73.82/11.30 | | Case 2:
% 73.82/11.30 | | |
% 73.82/11.30 | | | (422) all_58_3 = e1
% 73.82/11.30 | | |
% 73.82/11.30 | | | COMBINE_EQS: (23), (422) imply:
% 73.82/11.30 | | | (423) all_52_3 = e1
% 73.82/11.30 | | |
% 73.82/11.30 | | | SIMP: (423) implies:
% 73.82/11.30 | | | (424) all_52_3 = e1
% 73.82/11.30 | | |
% 73.82/11.30 | | | REDUCE: (107), (424) imply:
% 73.82/11.30 | | | (425) $false
% 73.82/11.30 | | |
% 73.82/11.30 | | | CLOSE: (425) is inconsistent.
% 73.82/11.30 | | |
% 73.82/11.30 | | End of split
% 73.82/11.30 | |
% 73.82/11.30 | Case 2:
% 73.82/11.30 | |
% 73.82/11.30 | | (426) all_58_3 = e1
% 73.82/11.30 | | (427) all_58_2 = e0
% 73.82/11.30 | |
% 73.82/11.30 | | COMBINE_EQS: (62), (427) imply:
% 73.82/11.30 | | (428) all_52_2 = e0
% 73.82/11.30 | |
% 73.82/11.30 | | COMBINE_EQS: (23), (426) imply:
% 73.82/11.30 | | (429) all_52_3 = e1
% 73.82/11.30 | |
% 73.82/11.30 | | REDUCE: (4), (428) imply:
% 73.82/11.30 | | (430) ~ (all_52_1 = e0)
% 73.82/11.30 | |
% 73.82/11.30 | | REDUCE: (97), (429) imply:
% 73.82/11.30 | | (431) ~ (all_52_1 = e1)
% 73.82/11.30 | |
% 73.82/11.30 | | REDUCE: (95), (428) imply:
% 73.82/11.30 | | (432) op(e1, e0) = unit
% 73.82/11.30 | |
% 73.82/11.30 | | GROUND_INST: instantiating (86) with all_8_0, unit, e0, e1, simplifying with
% 73.82/11.30 | | (83), (432) gives:
% 73.82/11.30 | | (433) all_8_0 = unit
% 73.82/11.30 | |
% 73.82/11.30 | | REDUCE: (105), (433) imply:
% 73.82/11.30 | | (434) ~ (all_8_1 = unit)
% 73.82/11.30 | |
% 73.82/11.30 | | SIMP: (434) implies:
% 73.82/11.30 | | (435) ~ (all_8_1 = unit)
% 73.82/11.30 | |
% 73.82/11.30 | | REDUCE: (78), (433) imply:
% 73.82/11.30 | | (436) ~ (unit = e2)
% 73.82/11.30 | |
% 73.82/11.30 | | BETA: splitting (25) gives:
% 73.82/11.30 | |
% 73.82/11.30 | | Case 1:
% 73.82/11.30 | | |
% 73.82/11.30 | | | (437) ~ (all_58_1 = e3)
% 73.82/11.30 | | |
% 73.82/11.30 | | | REDUCE: (52), (437) imply:
% 73.82/11.30 | | | (438) ~ (all_52_1 = e3)
% 73.82/11.30 | | |
% 73.82/11.30 | | | BETA: splitting (49) gives:
% 73.82/11.30 | | |
% 73.82/11.30 | | | Case 1:
% 73.82/11.30 | | | |
% 73.82/11.30 | | | | (439) all_60_1 = e3
% 73.82/11.30 | | | |
% 73.82/11.30 | | | | REF_CLOSE: (63), (438), (439) are inconsistent by sub-proof #104.
% 73.82/11.30 | | | |
% 73.82/11.30 | | | Case 2:
% 73.82/11.30 | | | |
% 73.82/11.30 | | | | (440) all_60_1 = e2 | all_60_1 = e1 | all_60_1 = e0
% 73.82/11.30 | | | |
% 73.82/11.30 | | | | BETA: splitting (440) gives:
% 73.82/11.30 | | | |
% 73.82/11.30 | | | | Case 1:
% 73.82/11.30 | | | | |
% 73.82/11.30 | | | | | (441) all_60_1 = e2
% 73.82/11.30 | | | | |
% 73.82/11.30 | | | | | COMBINE_EQS: (63), (441) imply:
% 73.82/11.30 | | | | | (442) all_52_1 = e2
% 73.82/11.30 | | | | |
% 73.82/11.30 | | | | | SIMP: (442) implies:
% 73.82/11.30 | | | | | (443) all_52_1 = e2
% 73.82/11.30 | | | | |
% 73.82/11.30 | | | | | REDUCE: (59), (443) imply:
% 73.82/11.30 | | | | | (444) op(e2, e2) = unit
% 73.82/11.30 | | | | |
% 73.82/11.30 | | | | | GROUND_INST: instantiating (86) with all_10_1, unit, e2, e2,
% 73.82/11.30 | | | | | simplifying with (79), (444) gives:
% 73.82/11.30 | | | | | (445) all_10_1 = unit
% 73.82/11.30 | | | | |
% 73.82/11.30 | | | | | COMBINE_EQS: (71), (445) imply:
% 73.82/11.30 | | | | | (446) all_56_1 = unit
% 73.82/11.30 | | | | |
% 73.82/11.30 | | | | | BETA: splitting (8) gives:
% 73.82/11.30 | | | | |
% 73.82/11.30 | | | | | Case 1:
% 73.82/11.30 | | | | | |
% 73.82/11.30 | | | | | | (447) (all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 & all_56_3 =
% 73.82/11.30 | | | | | | e3) | (all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 &
% 73.82/11.30 | | | | | | all_56_3 = e2)
% 73.82/11.30 | | | | | |
% 73.82/11.30 | | | | | | BETA: splitting (447) gives:
% 73.82/11.30 | | | | | |
% 73.82/11.30 | | | | | | Case 1:
% 73.82/11.30 | | | | | | |
% 73.82/11.30 | | | | | | | (448) all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 & all_56_3
% 73.82/11.30 | | | | | | | = e3
% 73.82/11.30 | | | | | | |
% 73.82/11.30 | | | | | | | ALPHA: (448) implies:
% 73.82/11.30 | | | | | | | (449) all_56_1 = e3
% 73.82/11.30 | | | | | | |
% 73.82/11.30 | | | | | | | COMBINE_EQS: (446), (449) imply:
% 73.82/11.30 | | | | | | | (450) unit = e3
% 73.82/11.30 | | | | | | |
% 73.82/11.30 | | | | | | | REDUCE: (41), (450) imply:
% 73.82/11.30 | | | | | | | (451) $false
% 73.82/11.30 | | | | | | |
% 73.82/11.30 | | | | | | | CLOSE: (451) is inconsistent.
% 73.82/11.30 | | | | | | |
% 73.82/11.30 | | | | | | Case 2:
% 73.82/11.30 | | | | | | |
% 73.82/11.30 | | | | | | | (452) all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 & all_56_3
% 73.82/11.30 | | | | | | | = e2
% 73.82/11.30 | | | | | | |
% 73.82/11.30 | | | | | | | ALPHA: (452) implies:
% 73.82/11.30 | | | | | | | (453) all_56_1 = e2
% 73.82/11.30 | | | | | | |
% 73.82/11.30 | | | | | | | COMBINE_EQS: (446), (453) imply:
% 73.82/11.30 | | | | | | | (454) unit = e2
% 73.82/11.30 | | | | | | |
% 73.82/11.30 | | | | | | | REDUCE: (436), (454) imply:
% 73.82/11.30 | | | | | | | (455) $false
% 73.82/11.30 | | | | | | |
% 73.82/11.30 | | | | | | | CLOSE: (455) is inconsistent.
% 73.82/11.30 | | | | | | |
% 73.82/11.30 | | | | | | End of split
% 73.82/11.30 | | | | | |
% 73.82/11.30 | | | | | Case 2:
% 73.82/11.30 | | | | | |
% 73.82/11.30 | | | | | | (456) (all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 & all_56_3 =
% 73.82/11.30 | | | | | | e1) | (all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 &
% 73.82/11.30 | | | | | | all_56_3 = e0)
% 73.82/11.30 | | | | | |
% 73.82/11.30 | | | | | | BETA: splitting (456) gives:
% 73.82/11.30 | | | | | |
% 73.82/11.30 | | | | | | Case 1:
% 73.82/11.30 | | | | | | |
% 73.82/11.30 | | | | | | | (457) all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 & all_56_3
% 73.82/11.30 | | | | | | | = e1
% 73.82/11.30 | | | | | | |
% 73.82/11.30 | | | | | | | ALPHA: (457) implies:
% 73.82/11.30 | | | | | | | (458) all_56_3 = e1
% 73.82/11.30 | | | | | | | (459) all_56_1 = e1
% 73.82/11.30 | | | | | | |
% 73.82/11.30 | | | | | | | COMBINE_EQS: (446), (459) imply:
% 73.82/11.30 | | | | | | | (460) unit = e1
% 73.82/11.30 | | | | | | |
% 73.82/11.30 | | | | | | | COMBINE_EQS: (70), (458) imply:
% 73.82/11.30 | | | | | | | (461) all_8_1 = e1
% 73.82/11.30 | | | | | | |
% 73.82/11.30 | | | | | | | REDUCE: (435), (460), (461) imply:
% 73.82/11.30 | | | | | | | (462) $false
% 73.82/11.30 | | | | | | |
% 73.82/11.30 | | | | | | | CLOSE: (462) is inconsistent.
% 73.82/11.30 | | | | | | |
% 73.82/11.30 | | | | | | Case 2:
% 73.82/11.30 | | | | | | |
% 73.82/11.30 | | | | | | | (463) all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 & all_56_3
% 73.82/11.30 | | | | | | | = e0
% 73.82/11.30 | | | | | | |
% 73.82/11.30 | | | | | | | ALPHA: (463) implies:
% 73.82/11.30 | | | | | | | (464) all_56_3 = e0
% 73.82/11.30 | | | | | | | (465) all_56_1 = e0
% 73.82/11.30 | | | | | | |
% 73.82/11.30 | | | | | | | COMBINE_EQS: (446), (465) imply:
% 73.82/11.30 | | | | | | | (466) unit = e0
% 73.82/11.30 | | | | | | |
% 73.82/11.30 | | | | | | | COMBINE_EQS: (70), (464) imply:
% 73.82/11.30 | | | | | | | (467) all_8_1 = e0
% 73.82/11.30 | | | | | | |
% 73.82/11.30 | | | | | | | REDUCE: (435), (466), (467) imply:
% 73.82/11.30 | | | | | | | (468) $false
% 73.82/11.30 | | | | | | |
% 73.82/11.30 | | | | | | | CLOSE: (468) is inconsistent.
% 73.82/11.30 | | | | | | |
% 73.82/11.30 | | | | | | End of split
% 73.82/11.30 | | | | | |
% 73.82/11.30 | | | | | End of split
% 73.82/11.30 | | | | |
% 73.82/11.30 | | | | Case 2:
% 73.82/11.30 | | | | |
% 73.82/11.30 | | | | | (469) all_60_1 = e1 | all_60_1 = e0
% 73.82/11.30 | | | | |
% 73.82/11.30 | | | | | REF_CLOSE: (63), (430), (431), (469) are inconsistent by sub-proof
% 73.82/11.30 | | | | | #80.
% 73.82/11.30 | | | | |
% 73.82/11.30 | | | | End of split
% 73.82/11.30 | | | |
% 73.82/11.30 | | | End of split
% 73.82/11.30 | | |
% 73.82/11.30 | | Case 2:
% 73.82/11.30 | | |
% 73.82/11.30 | | | (470) all_58_1 = e3
% 73.82/11.30 | | |
% 73.82/11.30 | | | COMBINE_EQS: (52), (470) imply:
% 73.82/11.30 | | | (471) all_52_1 = e3
% 73.82/11.30 | | |
% 73.82/11.30 | | | REDUCE: (59), (471) imply:
% 73.82/11.30 | | | (472) op(e2, e3) = unit
% 73.82/11.30 | | |
% 73.82/11.30 | | | GROUND_INST: instantiating (86) with all_6_0, unit, e3, e2, simplifying
% 73.82/11.30 | | | with (103), (472) gives:
% 73.82/11.30 | | | (473) all_6_0 = unit
% 73.82/11.30 | | |
% 73.82/11.30 | | | REDUCE: (89), (473) imply:
% 73.82/11.30 | | | (474) ~ (unit = e1)
% 73.82/11.30 | | |
% 73.82/11.30 | | | REDUCE: (77), (473) imply:
% 73.82/11.30 | | | (475) ~ (unit = e0)
% 73.82/11.30 | | |
% 73.82/11.30 | | | BETA: splitting (5) gives:
% 73.82/11.30 | | |
% 73.82/11.30 | | | Case 1:
% 73.82/11.30 | | | |
% 73.82/11.30 | | | | (476) unit = e2
% 73.82/11.30 | | | |
% 73.82/11.30 | | | | REDUCE: (436), (476) imply:
% 73.82/11.30 | | | | (477) $false
% 73.82/11.30 | | | |
% 73.82/11.30 | | | | CLOSE: (477) is inconsistent.
% 73.82/11.30 | | | |
% 73.82/11.30 | | | Case 2:
% 73.82/11.30 | | | |
% 73.82/11.30 | | | | (478) unit = e1 | unit = e0
% 73.82/11.30 | | | |
% 73.82/11.30 | | | | BETA: splitting (478) gives:
% 73.82/11.30 | | | |
% 73.82/11.30 | | | | Case 1:
% 73.82/11.30 | | | | |
% 73.82/11.30 | | | | | (479) unit = e1
% 73.82/11.30 | | | | |
% 73.82/11.30 | | | | | REDUCE: (474), (479) imply:
% 73.82/11.30 | | | | | (480) $false
% 73.82/11.30 | | | | |
% 73.82/11.30 | | | | | CLOSE: (480) is inconsistent.
% 73.82/11.30 | | | | |
% 73.82/11.30 | | | | Case 2:
% 73.82/11.30 | | | | |
% 73.82/11.30 | | | | | (481) unit = e0
% 73.82/11.30 | | | | |
% 73.82/11.30 | | | | | REDUCE: (475), (481) imply:
% 73.82/11.30 | | | | | (482) $false
% 73.82/11.30 | | | | |
% 73.82/11.30 | | | | | CLOSE: (482) is inconsistent.
% 73.82/11.30 | | | | |
% 73.82/11.30 | | | | End of split
% 73.82/11.30 | | | |
% 73.82/11.30 | | | End of split
% 73.82/11.30 | | |
% 73.82/11.30 | | End of split
% 73.82/11.30 | |
% 73.82/11.30 | End of split
% 73.82/11.30 |
% 73.82/11.30 End of proof
% 73.82/11.30
% 73.82/11.30 Sub-proof #75 shows that the following formulas are inconsistent:
% 73.82/11.30 ----------------------------------------------------------------
% 73.82/11.30 (1) all_64_7 = e1 | all_64_7 = e0
% 73.82/11.30 (2) all_64_7 = all_22_0
% 73.82/11.30 (3) ~ (all_22_0 = e1)
% 73.82/11.30 (4) ~ (all_22_0 = e0)
% 73.82/11.30
% 73.82/11.30 Begin of proof
% 73.82/11.30 |
% 73.82/11.30 | BETA: splitting (1) gives:
% 73.82/11.30 |
% 73.82/11.30 | Case 1:
% 73.82/11.30 | |
% 73.82/11.30 | | (5) all_64_7 = e1
% 73.82/11.30 | |
% 73.82/11.30 | | COMBINE_EQS: (2), (5) imply:
% 73.82/11.30 | | (6) all_22_0 = e1
% 73.82/11.30 | |
% 73.82/11.30 | | REDUCE: (3), (6) imply:
% 73.82/11.30 | | (7) $false
% 73.82/11.30 | |
% 73.82/11.30 | | CLOSE: (7) is inconsistent.
% 73.82/11.30 | |
% 73.82/11.30 | Case 2:
% 73.82/11.30 | |
% 73.82/11.30 | | (8) all_64_7 = e0
% 73.82/11.30 | |
% 73.82/11.30 | | COMBINE_EQS: (2), (8) imply:
% 73.82/11.30 | | (9) all_22_0 = e0
% 73.82/11.30 | |
% 73.82/11.30 | | REDUCE: (4), (9) imply:
% 73.82/11.30 | | (10) $false
% 73.82/11.30 | |
% 73.82/11.30 | | CLOSE: (10) is inconsistent.
% 73.82/11.30 | |
% 73.82/11.30 | End of split
% 73.82/11.30 |
% 73.82/11.30 End of proof
% 73.82/11.30
% 73.82/11.30 Sub-proof #76 shows that the following formulas are inconsistent:
% 73.82/11.30 ----------------------------------------------------------------
% 73.82/11.30 (1) ~ (all_10_0 = e3)
% 73.82/11.30 (2) ~ (all_4_0 = e2)
% 73.82/11.30 (3) ~ (all_10_0 = all_4_0)
% 73.82/11.30 (4) (all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 & all_56_3 = e3) |
% 73.82/11.30 (all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 & all_56_3 = e2) |
% 73.82/11.30 (all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 & all_56_3 = e1) |
% 73.82/11.30 (all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 & all_56_3 = e0)
% 73.82/11.30 (5) all_64_9 = all_10_0
% 73.82/11.30 (6) all_64_4 = e3 | all_64_4 = e2 | all_64_4 = e1 | all_64_4 = e0
% 73.82/11.30 (7) all_64_8 = all_4_0
% 73.82/11.30 (8) all_64_8 = e3 | all_64_8 = e2 | all_64_8 = e1 | all_64_8 = e0
% 73.82/11.30 (9) ~ (all_4_0 = all_4_1)
% 73.82/11.30 (10) ~ (e2 = e1)
% 73.82/11.30 (11) ~ (all_10_0 = all_10_1)
% 73.82/11.30 (12) ~ (all_4_1 = e0)
% 73.82/11.30 (13) ~ (all_4_0 = e0)
% 73.82/11.30 (14) ~ (e2 = e0)
% 73.82/11.30 (15) ~ (all_6_0 = e2)
% 73.82/11.30 (16) ~ (all_6_0 = all_4_0)
% 73.82/11.30 (17) ~ (all_10_0 = e0)
% 73.82/11.30 (18) all_56_1 = all_10_1
% 73.82/11.30 (19) ~ (all_12_1 = all_4_0)
% 73.82/11.30 (20) ~ (all_6_0 = e0)
% 73.82/11.30 (21) ~ (all_6_0 = all_4_1)
% 73.82/11.30 (22) all_56_2 = all_12_1
% 73.82/11.30 (23) ~ (all_6_0 = e1)
% 73.82/11.30 (24) all_64_4 = all_6_0
% 73.82/11.30 (25) all_64_9 = e3 | all_64_9 = e2 | all_64_9 = e1 | all_64_9 = e0
% 73.82/11.30 (26) all_56_0 = all_4_1
% 73.82/11.30
% 73.82/11.30 Begin of proof
% 73.82/11.30 |
% 73.82/11.30 | BETA: splitting (6) gives:
% 73.82/11.30 |
% 73.82/11.30 | Case 1:
% 73.82/11.30 | |
% 73.82/11.30 | | (27) all_64_4 = e3
% 73.82/11.30 | |
% 73.82/11.30 | | COMBINE_EQS: (24), (27) imply:
% 73.82/11.30 | | (28) all_6_0 = e3
% 73.82/11.30 | |
% 73.82/11.30 | | SIMP: (28) implies:
% 73.82/11.30 | | (29) all_6_0 = e3
% 73.82/11.30 | |
% 73.82/11.30 | | REDUCE: (16), (29) imply:
% 73.82/11.30 | | (30) ~ (all_4_0 = e3)
% 73.82/11.30 | |
% 73.82/11.30 | | SIMP: (30) implies:
% 73.82/11.30 | | (31) ~ (all_4_0 = e3)
% 73.82/11.30 | |
% 73.82/11.30 | | REDUCE: (21), (29) imply:
% 73.82/11.30 | | (32) ~ (all_4_1 = e3)
% 73.82/11.30 | |
% 73.82/11.30 | | SIMP: (32) implies:
% 73.82/11.30 | | (33) ~ (all_4_1 = e3)
% 73.82/11.30 | |
% 73.82/11.30 | | REDUCE: (15), (29) imply:
% 73.82/11.30 | | (34) ~ (e3 = e2)
% 73.82/11.30 | |
% 73.82/11.30 | | BETA: splitting (8) gives:
% 73.82/11.30 | |
% 73.82/11.30 | | Case 1:
% 73.82/11.30 | | |
% 73.82/11.30 | | | (35) all_64_8 = e3
% 73.82/11.30 | | |
% 73.82/11.30 | | | COMBINE_EQS: (7), (35) imply:
% 73.82/11.30 | | | (36) all_4_0 = e3
% 73.82/11.30 | | |
% 73.82/11.30 | | | REDUCE: (31), (36) imply:
% 73.82/11.30 | | | (37) $false
% 73.82/11.30 | | |
% 73.82/11.30 | | | CLOSE: (37) is inconsistent.
% 73.82/11.30 | | |
% 73.82/11.30 | | Case 2:
% 73.82/11.30 | | |
% 73.82/11.30 | | | (38) ~ (all_64_8 = e3)
% 73.82/11.30 | | | (39) all_64_8 = e2 | all_64_8 = e1 | all_64_8 = e0
% 73.82/11.30 | | |
% 73.82/11.30 | | | BETA: splitting (4) gives:
% 73.82/11.30 | | |
% 73.82/11.30 | | | Case 1:
% 73.82/11.30 | | | |
% 73.82/11.30 | | | | (40) (all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 & all_56_3 = e3)
% 73.82/11.30 | | | | | (all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 & all_56_3 =
% 73.82/11.30 | | | | e2)
% 73.82/11.30 | | | |
% 73.82/11.30 | | | | REF_CLOSE: (1), (3), (4), (5), (7), (8), (10), (11), (13), (14), (17),
% 73.82/11.30 | | | | (18), (19), (22), (25), (26), (31), (33), (34), (40) are
% 73.82/11.30 | | | | inconsistent by sub-proof #78.
% 73.82/11.30 | | | |
% 73.82/11.30 | | | Case 2:
% 73.82/11.30 | | | |
% 73.82/11.30 | | | | (41) (all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 & all_56_3 = e1)
% 73.82/11.30 | | | | | (all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 & all_56_3 =
% 73.82/11.30 | | | | e0)
% 73.82/11.30 | | | |
% 73.82/11.30 | | | | BETA: splitting (41) gives:
% 73.82/11.30 | | | |
% 73.82/11.30 | | | | Case 1:
% 73.82/11.30 | | | | |
% 73.82/11.30 | | | | | (42) all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 & all_56_3 = e1
% 73.82/11.30 | | | | |
% 73.82/11.30 | | | | | ALPHA: (42) implies:
% 73.82/11.30 | | | | | (43) all_56_0 = e1
% 73.82/11.30 | | | | |
% 73.82/11.30 | | | | | COMBINE_EQS: (26), (43) imply:
% 73.82/11.30 | | | | | (44) all_4_1 = e1
% 73.82/11.30 | | | | |
% 73.82/11.30 | | | | | SIMP: (44) implies:
% 73.82/11.30 | | | | | (45) all_4_1 = e1
% 73.82/11.30 | | | | |
% 73.82/11.30 | | | | | REDUCE: (9), (45) imply:
% 73.82/11.30 | | | | | (46) ~ (all_4_0 = e1)
% 73.82/11.30 | | | | |
% 73.82/11.30 | | | | | REF_CLOSE: (2), (7), (13), (39), (46) are inconsistent by sub-proof
% 73.82/11.30 | | | | | #82.
% 73.82/11.30 | | | | |
% 73.82/11.30 | | | | Case 2:
% 73.82/11.30 | | | | |
% 73.82/11.30 | | | | | (47) all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 & all_56_3 = e0
% 73.82/11.30 | | | | |
% 73.82/11.30 | | | | | REF_CLOSE: (12), (26), (47) are inconsistent by sub-proof #77.
% 73.82/11.30 | | | | |
% 73.82/11.30 | | | | End of split
% 73.82/11.30 | | | |
% 73.82/11.30 | | | End of split
% 73.82/11.30 | | |
% 73.82/11.30 | | End of split
% 73.82/11.30 | |
% 73.82/11.30 | Case 2:
% 73.82/11.30 | |
% 73.82/11.30 | | (48) all_64_4 = e2 | all_64_4 = e1 | all_64_4 = e0
% 73.82/11.30 | |
% 73.82/11.30 | | REF_CLOSE: (15), (20), (23), (24), (48) are inconsistent by sub-proof #97.
% 73.82/11.30 | |
% 73.82/11.30 | End of split
% 73.82/11.30 |
% 73.82/11.30 End of proof
% 73.82/11.30
% 73.82/11.30 Sub-proof #77 shows that the following formulas are inconsistent:
% 73.82/11.30 ----------------------------------------------------------------
% 73.82/11.30 (1) all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 & all_56_3 = e0
% 73.82/11.30 (2) all_56_0 = all_4_1
% 73.82/11.30 (3) ~ (all_4_1 = e0)
% 73.82/11.30
% 73.82/11.30 Begin of proof
% 73.82/11.30 |
% 73.82/11.30 | ALPHA: (1) implies:
% 73.82/11.30 | (4) all_56_0 = e0
% 73.82/11.30 |
% 73.82/11.30 | COMBINE_EQS: (2), (4) imply:
% 73.82/11.30 | (5) all_4_1 = e0
% 73.82/11.30 |
% 73.82/11.30 | SIMP: (5) implies:
% 73.82/11.30 | (6) all_4_1 = e0
% 73.82/11.30 |
% 73.82/11.30 | REDUCE: (3), (6) imply:
% 73.82/11.30 | (7) $false
% 73.82/11.30 |
% 73.82/11.30 | CLOSE: (7) is inconsistent.
% 73.82/11.30 |
% 73.82/11.30 End of proof
% 73.82/11.30
% 73.82/11.30 Sub-proof #78 shows that the following formulas are inconsistent:
% 73.82/11.30 ----------------------------------------------------------------
% 73.82/11.30 (1) ~ (all_10_0 = e3)
% 73.82/11.30 (2) ~ (all_10_0 = all_4_0)
% 73.82/11.31 (3) (all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 & all_56_3 = e3) |
% 73.82/11.31 (all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 & all_56_3 = e2) |
% 73.82/11.31 (all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 & all_56_3 = e1) |
% 73.82/11.31 (all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 & all_56_3 = e0)
% 73.82/11.31 (4) all_64_9 = all_10_0
% 73.82/11.31 (5) all_64_8 = all_4_0
% 73.82/11.31 (6) all_64_8 = e3 | all_64_8 = e2 | all_64_8 = e1 | all_64_8 = e0
% 73.82/11.31 (7) ~ (e2 = e1)
% 73.82/11.31 (8) ~ (all_10_0 = all_10_1)
% 73.82/11.31 (9) ~ (e3 = e2)
% 73.82/11.31 (10) ~ (all_4_0 = e0)
% 73.82/11.31 (11) ~ (e2 = e0)
% 73.82/11.31 (12) ~ (all_10_0 = e0)
% 73.82/11.31 (13) (all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 & all_56_3 = e3) |
% 73.82/11.31 (all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 & all_56_3 = e2)
% 73.82/11.31 (14) all_56_1 = all_10_1
% 73.82/11.31 (15) ~ (all_12_1 = all_4_0)
% 73.82/11.31 (16) ~ (all_4_0 = e3)
% 73.82/11.31 (17) ~ (all_4_1 = e3)
% 73.82/11.31 (18) all_56_2 = all_12_1
% 73.82/11.31 (19) all_64_9 = e3 | all_64_9 = e2 | all_64_9 = e1 | all_64_9 = e0
% 73.82/11.31 (20) all_56_0 = all_4_1
% 73.82/11.31
% 73.82/11.31 Begin of proof
% 73.82/11.31 |
% 73.82/11.31 | BETA: splitting (13) gives:
% 73.82/11.31 |
% 73.82/11.31 | Case 1:
% 73.82/11.31 | |
% 73.82/11.31 | | (21) all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 & all_56_3 = e3
% 73.82/11.31 | |
% 73.82/11.31 | | REF_CLOSE: (17), (20), (21) are inconsistent by sub-proof #79.
% 73.82/11.31 | |
% 73.82/11.31 | Case 2:
% 73.82/11.31 | |
% 73.82/11.31 | | (22) all_56_0 = e2 & all_56_1 = e2 & all_56_2 = e2 & all_56_3 = e2
% 73.82/11.31 | |
% 73.82/11.31 | | ALPHA: (22) implies:
% 73.82/11.31 | | (23) all_56_0 = e2
% 73.82/11.31 | |
% 73.82/11.31 | | BETA: splitting (3) gives:
% 73.82/11.31 | |
% 73.82/11.31 | | Case 1:
% 73.82/11.31 | | |
% 73.82/11.31 | | |
% 73.82/11.31 | | | BETA: splitting (13) gives:
% 73.82/11.31 | | |
% 73.82/11.31 | | | Case 1:
% 73.82/11.31 | | | |
% 73.82/11.31 | | | | (24) all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 & all_56_3 = e3
% 73.82/11.31 | | | |
% 73.82/11.31 | | | | ALPHA: (24) implies:
% 73.82/11.31 | | | | (25) all_56_0 = e3
% 73.82/11.31 | | | |
% 73.82/11.31 | | | | COMBINE_EQS: (23), (25) imply:
% 73.82/11.31 | | | | (26) e3 = e2
% 73.82/11.31 | | | |
% 73.82/11.31 | | | | REDUCE: (9), (26) imply:
% 73.82/11.31 | | | | (27) $false
% 73.82/11.31 | | | |
% 73.82/11.31 | | | | CLOSE: (27) is inconsistent.
% 73.82/11.31 | | | |
% 73.82/11.31 | | | Case 2:
% 73.82/11.31 | | | |
% 73.82/11.31 | | | |
% 73.82/11.31 | | | | ALPHA: (22) implies:
% 73.82/11.31 | | | | (28) all_56_2 = e2
% 73.82/11.31 | | | | (29) all_56_1 = e2
% 73.82/11.31 | | | |
% 73.82/11.31 | | | | COMBINE_EQS: (14), (29) imply:
% 73.82/11.31 | | | | (30) all_10_1 = e2
% 73.82/11.31 | | | |
% 73.82/11.31 | | | | SIMP: (30) implies:
% 73.82/11.31 | | | | (31) all_10_1 = e2
% 73.82/11.31 | | | |
% 73.82/11.31 | | | | COMBINE_EQS: (18), (28) imply:
% 73.82/11.31 | | | | (32) all_12_1 = e2
% 73.82/11.31 | | | |
% 73.82/11.31 | | | | SIMP: (32) implies:
% 73.82/11.31 | | | | (33) all_12_1 = e2
% 73.82/11.31 | | | |
% 73.82/11.31 | | | | REDUCE: (15), (33) imply:
% 73.82/11.31 | | | | (34) ~ (all_4_0 = e2)
% 73.82/11.31 | | | |
% 73.82/11.31 | | | | SIMP: (34) implies:
% 73.82/11.31 | | | | (35) ~ (all_4_0 = e2)
% 73.82/11.31 | | | |
% 73.82/11.31 | | | | REDUCE: (8), (31) imply:
% 73.82/11.31 | | | | (36) ~ (all_10_0 = e2)
% 73.82/11.31 | | | |
% 73.82/11.31 | | | | REF_CLOSE: (1), (2), (4), (5), (6), (10), (12), (16), (19), (35), (36)
% 73.82/11.31 | | | | are inconsistent by sub-proof #99.
% 73.82/11.31 | | | |
% 73.82/11.31 | | | End of split
% 73.82/11.31 | | |
% 73.82/11.31 | | Case 2:
% 73.82/11.31 | | |
% 73.82/11.31 | | | (37) (all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 & all_56_3 = e1) |
% 73.82/11.31 | | | (all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 & all_56_3 = e0)
% 73.82/11.31 | | |
% 73.82/11.31 | | | BETA: splitting (37) gives:
% 73.82/11.31 | | |
% 73.82/11.31 | | | Case 1:
% 73.82/11.31 | | | |
% 73.82/11.31 | | | | (38) all_56_0 = e1 & all_56_1 = e1 & all_56_2 = e1 & all_56_3 = e1
% 73.82/11.31 | | | |
% 73.82/11.31 | | | | ALPHA: (38) implies:
% 73.82/11.31 | | | | (39) all_56_0 = e1
% 73.82/11.31 | | | |
% 73.82/11.31 | | | | COMBINE_EQS: (23), (39) imply:
% 73.82/11.31 | | | | (40) e2 = e1
% 73.82/11.31 | | | |
% 73.82/11.31 | | | | SIMP: (40) implies:
% 73.82/11.31 | | | | (41) e2 = e1
% 73.82/11.31 | | | |
% 73.82/11.31 | | | | REDUCE: (7), (41) imply:
% 73.82/11.31 | | | | (42) $false
% 73.82/11.31 | | | |
% 73.82/11.31 | | | | CLOSE: (42) is inconsistent.
% 73.82/11.31 | | | |
% 73.82/11.31 | | | Case 2:
% 73.82/11.31 | | | |
% 73.82/11.31 | | | | (43) all_56_0 = e0 & all_56_1 = e0 & all_56_2 = e0 & all_56_3 = e0
% 73.82/11.31 | | | |
% 73.82/11.31 | | | | ALPHA: (43) implies:
% 73.82/11.31 | | | | (44) all_56_0 = e0
% 73.82/11.31 | | | |
% 73.82/11.31 | | | | COMBINE_EQS: (23), (44) imply:
% 73.82/11.31 | | | | (45) e2 = e0
% 73.82/11.31 | | | |
% 73.82/11.31 | | | | SIMP: (45) implies:
% 73.82/11.31 | | | | (46) e2 = e0
% 73.82/11.31 | | | |
% 73.82/11.31 | | | | REDUCE: (11), (46) imply:
% 73.82/11.31 | | | | (47) $false
% 73.82/11.31 | | | |
% 73.82/11.31 | | | | CLOSE: (47) is inconsistent.
% 73.82/11.31 | | | |
% 73.82/11.31 | | | End of split
% 73.82/11.31 | | |
% 73.82/11.31 | | End of split
% 73.82/11.31 | |
% 73.82/11.31 | End of split
% 73.82/11.31 |
% 73.82/11.31 End of proof
% 73.82/11.31
% 73.82/11.31 Sub-proof #79 shows that the following formulas are inconsistent:
% 73.82/11.31 ----------------------------------------------------------------
% 73.82/11.31 (1) all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 & all_56_3 = e3
% 73.82/11.31 (2) all_56_0 = all_4_1
% 73.82/11.31 (3) ~ (all_4_1 = e3)
% 73.82/11.31
% 73.82/11.31 Begin of proof
% 73.82/11.31 |
% 73.82/11.31 | ALPHA: (1) implies:
% 73.82/11.31 | (4) all_56_0 = e3
% 73.82/11.31 |
% 73.82/11.31 | COMBINE_EQS: (2), (4) imply:
% 73.82/11.31 | (5) all_4_1 = e3
% 73.82/11.31 |
% 73.82/11.31 | SIMP: (5) implies:
% 73.82/11.31 | (6) all_4_1 = e3
% 73.82/11.31 |
% 73.82/11.31 | REDUCE: (3), (6) imply:
% 73.82/11.31 | (7) $false
% 73.82/11.31 |
% 73.82/11.31 | CLOSE: (7) is inconsistent.
% 73.82/11.31 |
% 73.82/11.31 End of proof
% 73.82/11.31
% 73.82/11.31 Sub-proof #80 shows that the following formulas are inconsistent:
% 73.82/11.31 ----------------------------------------------------------------
% 73.82/11.31 (1) all_60_1 = e1 | all_60_1 = e0
% 73.82/11.31 (2) all_60_1 = all_52_1
% 73.82/11.31 (3) ~ (all_52_1 = e1)
% 73.82/11.31 (4) ~ (all_52_1 = e0)
% 73.82/11.31
% 73.82/11.31 Begin of proof
% 73.82/11.31 |
% 73.82/11.31 | BETA: splitting (1) gives:
% 73.82/11.31 |
% 73.82/11.31 | Case 1:
% 73.82/11.31 | |
% 73.82/11.31 | | (5) all_60_1 = e1
% 73.82/11.31 | |
% 73.82/11.31 | | COMBINE_EQS: (2), (5) imply:
% 73.82/11.31 | | (6) all_52_1 = e1
% 73.82/11.31 | |
% 73.82/11.31 | | SIMP: (6) implies:
% 73.82/11.31 | | (7) all_52_1 = e1
% 73.82/11.31 | |
% 73.82/11.31 | | REDUCE: (3), (7) imply:
% 73.82/11.31 | | (8) $false
% 73.82/11.31 | |
% 73.82/11.31 | | CLOSE: (8) is inconsistent.
% 73.82/11.31 | |
% 73.82/11.31 | Case 2:
% 73.82/11.31 | |
% 73.82/11.31 | | (9) all_60_1 = e0
% 73.82/11.31 | |
% 73.82/11.31 | | COMBINE_EQS: (2), (9) imply:
% 73.82/11.31 | | (10) all_52_1 = e0
% 73.82/11.31 | |
% 73.82/11.31 | | SIMP: (10) implies:
% 73.82/11.31 | | (11) all_52_1 = e0
% 73.82/11.31 | |
% 73.82/11.31 | | REDUCE: (4), (11) imply:
% 73.82/11.31 | | (12) $false
% 73.82/11.31 | |
% 73.82/11.31 | | CLOSE: (12) is inconsistent.
% 73.82/11.31 | |
% 73.82/11.31 | End of split
% 73.82/11.31 |
% 73.82/11.31 End of proof
% 73.82/11.31
% 73.82/11.31 Sub-proof #81 shows that the following formulas are inconsistent:
% 73.82/11.31 ----------------------------------------------------------------
% 73.82/11.31 (1) ~ (all_4_0 = e2)
% 73.82/11.31 (2) ~ (all_28_0 = all_4_0)
% 73.82/11.31 (3) all_64_4 = e3 | all_64_4 = e2 | all_64_4 = e1 | all_64_4 = e0
% 73.82/11.31 (4) all_64_8 = all_4_0
% 73.82/11.31 (5) all_64_8 = e3 | all_64_8 = e2 | all_64_8 = e1 | all_64_8 = e0
% 73.82/11.31 (6) ~ (all_8_0 = e0)
% 73.82/11.31 (7) all_64_12 = all_28_0
% 73.82/11.31 (8) ~ (all_28_0 = all_6_0)
% 73.82/11.31 (9) ~ (all_4_0 = e0)
% 73.82/11.31 (10) all_64_12 = e3 | all_64_12 = e2 | all_64_12 = e1 | all_64_12 = e0
% 73.82/11.31 (11) ~ (all_28_0 = e1)
% 73.82/11.31 (12) ~ (all_8_0 = all_4_0)
% 73.82/11.31 (13) ~ (all_6_0 = all_4_0)
% 73.82/11.31 (14) all_64_11 = all_8_0
% 73.82/11.31 (15) ~ (all_8_0 = e3)
% 73.82/11.31 (16) all_64_11 = e3 | all_64_11 = e2 | all_64_11 = e1 | all_64_11 = e0
% 73.82/11.31 (17) ~ (all_6_0 = e0)
% 73.82/11.31 (18) ~ (all_8_0 = e2)
% 73.82/11.31 (19) ~ (all_28_0 = e0)
% 73.82/11.31 (20) ~ (all_6_0 = e1)
% 73.82/11.31 (21) all_64_4 = all_6_0
% 73.82/11.31
% 73.82/11.31 Begin of proof
% 73.82/11.31 |
% 73.82/11.31 | BETA: splitting (16) gives:
% 73.82/11.31 |
% 73.82/11.31 | Case 1:
% 73.82/11.31 | |
% 73.82/11.31 | | (22) all_64_11 = e3
% 73.82/11.31 | |
% 73.82/11.31 | | COMBINE_EQS: (14), (22) imply:
% 73.82/11.31 | | (23) all_8_0 = e3
% 73.82/11.31 | |
% 73.82/11.31 | | REDUCE: (15), (23) imply:
% 73.82/11.31 | | (24) $false
% 73.82/11.31 | |
% 73.82/11.31 | | CLOSE: (24) is inconsistent.
% 73.82/11.31 | |
% 73.82/11.31 | Case 2:
% 73.82/11.31 | |
% 73.82/11.31 | | (25) all_64_11 = e2 | all_64_11 = e1 | all_64_11 = e0
% 73.82/11.31 | |
% 73.82/11.31 | | BETA: splitting (25) gives:
% 73.82/11.31 | |
% 73.82/11.31 | | Case 1:
% 73.82/11.31 | | |
% 73.82/11.31 | | | (26) all_64_11 = e2
% 73.82/11.31 | | |
% 73.82/11.31 | | | COMBINE_EQS: (14), (26) imply:
% 73.82/11.31 | | | (27) all_8_0 = e2
% 73.82/11.31 | | |
% 73.82/11.31 | | | REDUCE: (18), (27) imply:
% 73.82/11.31 | | | (28) $false
% 73.82/11.31 | | |
% 73.82/11.31 | | | CLOSE: (28) is inconsistent.
% 73.82/11.31 | | |
% 73.82/11.31 | | Case 2:
% 73.82/11.31 | | |
% 73.82/11.31 | | | (29) all_64_11 = e1 | all_64_11 = e0
% 73.82/11.31 | | |
% 73.82/11.31 | | | BETA: splitting (29) gives:
% 73.82/11.31 | | |
% 73.82/11.31 | | | Case 1:
% 73.82/11.31 | | | |
% 73.82/11.31 | | | | (30) all_64_11 = e1
% 73.82/11.31 | | | |
% 73.82/11.31 | | | | COMBINE_EQS: (14), (30) imply:
% 73.82/11.31 | | | | (31) all_8_0 = e1
% 73.82/11.31 | | | |
% 73.82/11.31 | | | | REDUCE: (12), (31) imply:
% 73.82/11.31 | | | | (32) ~ (all_4_0 = e1)
% 73.82/11.31 | | | |
% 73.82/11.31 | | | | SIMP: (32) implies:
% 73.82/11.31 | | | | (33) ~ (all_4_0 = e1)
% 73.82/11.31 | | | |
% 73.82/11.31 | | | | BETA: splitting (5) gives:
% 73.82/11.31 | | | |
% 73.82/11.31 | | | | Case 1:
% 73.82/11.31 | | | | |
% 73.82/11.31 | | | | | (34) all_64_8 = e3
% 73.82/11.31 | | | | |
% 73.82/11.31 | | | | | COMBINE_EQS: (4), (34) imply:
% 73.82/11.31 | | | | | (35) all_4_0 = e3
% 73.82/11.31 | | | | |
% 73.82/11.31 | | | | | SIMP: (35) implies:
% 73.82/11.31 | | | | | (36) all_4_0 = e3
% 73.82/11.31 | | | | |
% 73.82/11.31 | | | | | REDUCE: (2), (36) imply:
% 73.82/11.31 | | | | | (37) ~ (all_28_0 = e3)
% 73.82/11.31 | | | | |
% 73.82/11.31 | | | | | REDUCE: (13), (36) imply:
% 73.82/11.31 | | | | | (38) ~ (all_6_0 = e3)
% 73.82/11.31 | | | | |
% 73.82/11.31 | | | | | BETA: splitting (3) gives:
% 73.82/11.31 | | | | |
% 73.82/11.31 | | | | | Case 1:
% 73.82/11.31 | | | | | |
% 73.82/11.31 | | | | | | (39) all_64_4 = e3
% 73.82/11.31 | | | | | |
% 73.82/11.31 | | | | | | COMBINE_EQS: (21), (39) imply:
% 73.82/11.31 | | | | | | (40) all_6_0 = e3
% 73.82/11.31 | | | | | |
% 73.82/11.31 | | | | | | SIMP: (40) implies:
% 73.82/11.31 | | | | | | (41) all_6_0 = e3
% 73.82/11.31 | | | | | |
% 73.82/11.31 | | | | | | REDUCE: (38), (41) imply:
% 73.82/11.31 | | | | | | (42) $false
% 73.82/11.31 | | | | | |
% 73.82/11.31 | | | | | | CLOSE: (42) is inconsistent.
% 73.82/11.31 | | | | | |
% 73.82/11.31 | | | | | Case 2:
% 73.82/11.31 | | | | | |
% 73.82/11.31 | | | | | | (43) all_64_4 = e2 | all_64_4 = e1 | all_64_4 = e0
% 73.82/11.31 | | | | | |
% 73.82/11.31 | | | | | | BETA: splitting (43) gives:
% 73.82/11.31 | | | | | |
% 73.82/11.31 | | | | | | Case 1:
% 73.82/11.31 | | | | | | |
% 73.82/11.31 | | | | | | | (44) all_64_4 = e2
% 73.82/11.31 | | | | | | |
% 73.82/11.31 | | | | | | | COMBINE_EQS: (21), (44) imply:
% 73.82/11.31 | | | | | | | (45) all_6_0 = e2
% 73.82/11.31 | | | | | | |
% 73.82/11.31 | | | | | | | SIMP: (45) implies:
% 73.82/11.31 | | | | | | | (46) all_6_0 = e2
% 73.82/11.31 | | | | | | |
% 73.82/11.31 | | | | | | | REDUCE: (8), (46) imply:
% 73.82/11.31 | | | | | | | (47) ~ (all_28_0 = e2)
% 73.82/11.31 | | | | | | |
% 73.82/11.31 | | | | | | | REF_CLOSE: (7), (10), (11), (19), (37), (47) are inconsistent by
% 73.82/11.31 | | | | | | | sub-proof #83.
% 73.82/11.31 | | | | | | |
% 73.82/11.31 | | | | | | Case 2:
% 73.82/11.31 | | | | | | |
% 73.82/11.31 | | | | | | | (48) all_64_4 = e1 | all_64_4 = e0
% 73.82/11.31 | | | | | | |
% 73.82/11.31 | | | | | | | REF_CLOSE: (17), (20), (21), (48) are inconsistent by sub-proof
% 73.82/11.31 | | | | | | | #98.
% 73.82/11.31 | | | | | | |
% 73.82/11.31 | | | | | | End of split
% 73.82/11.31 | | | | | |
% 73.82/11.31 | | | | | End of split
% 73.82/11.31 | | | | |
% 73.82/11.31 | | | | Case 2:
% 73.82/11.31 | | | | |
% 73.82/11.31 | | | | | (49) all_64_8 = e2 | all_64_8 = e1 | all_64_8 = e0
% 73.82/11.31 | | | | |
% 73.82/11.31 | | | | | REF_CLOSE: (1), (4), (9), (33), (49) are inconsistent by sub-proof
% 73.82/11.31 | | | | | #82.
% 73.82/11.31 | | | | |
% 73.82/11.31 | | | | End of split
% 73.82/11.31 | | | |
% 73.82/11.31 | | | Case 2:
% 73.82/11.31 | | | |
% 73.82/11.31 | | | | (50) all_64_11 = e0
% 73.82/11.31 | | | |
% 73.82/11.31 | | | | COMBINE_EQS: (14), (50) imply:
% 73.82/11.31 | | | | (51) all_8_0 = e0
% 73.82/11.31 | | | |
% 73.82/11.31 | | | | REDUCE: (6), (51) imply:
% 73.82/11.31 | | | | (52) $false
% 73.82/11.31 | | | |
% 73.82/11.31 | | | | CLOSE: (52) is inconsistent.
% 73.82/11.31 | | | |
% 73.82/11.31 | | | End of split
% 73.82/11.31 | | |
% 73.82/11.31 | | End of split
% 73.82/11.31 | |
% 73.82/11.31 | End of split
% 73.82/11.31 |
% 73.82/11.31 End of proof
% 73.82/11.31
% 73.82/11.31 Sub-proof #82 shows that the following formulas are inconsistent:
% 73.82/11.31 ----------------------------------------------------------------
% 73.82/11.31 (1) ~ (all_4_0 = e2)
% 73.82/11.31 (2) all_64_8 = e2 | all_64_8 = e1 | all_64_8 = e0
% 73.82/11.31 (3) all_64_8 = all_4_0
% 73.82/11.31 (4) ~ (all_4_0 = e0)
% 73.82/11.31 (5) ~ (all_4_0 = e1)
% 73.82/11.31
% 73.82/11.31 Begin of proof
% 73.82/11.31 |
% 73.82/11.31 | BETA: splitting (2) gives:
% 73.82/11.31 |
% 73.82/11.31 | Case 1:
% 73.82/11.31 | |
% 73.82/11.31 | | (6) all_64_8 = e2
% 73.82/11.31 | |
% 73.82/11.31 | | COMBINE_EQS: (3), (6) imply:
% 73.82/11.31 | | (7) all_4_0 = e2
% 73.82/11.31 | |
% 73.82/11.31 | | REDUCE: (1), (7) imply:
% 73.82/11.31 | | (8) $false
% 73.82/11.31 | |
% 73.82/11.31 | | CLOSE: (8) is inconsistent.
% 73.82/11.31 | |
% 73.82/11.31 | Case 2:
% 73.82/11.31 | |
% 73.82/11.31 | | (9) all_64_8 = e1 | all_64_8 = e0
% 73.82/11.31 | |
% 73.82/11.31 | | BETA: splitting (9) gives:
% 73.82/11.31 | |
% 73.82/11.31 | | Case 1:
% 73.82/11.31 | | |
% 73.82/11.31 | | | (10) all_64_8 = e1
% 73.82/11.31 | | |
% 73.82/11.31 | | | COMBINE_EQS: (3), (10) imply:
% 73.82/11.31 | | | (11) all_4_0 = e1
% 73.82/11.31 | | |
% 73.82/11.31 | | | REDUCE: (5), (11) imply:
% 73.82/11.31 | | | (12) $false
% 73.82/11.31 | | |
% 73.82/11.31 | | | CLOSE: (12) is inconsistent.
% 73.82/11.31 | | |
% 73.82/11.31 | | Case 2:
% 73.82/11.31 | | |
% 73.82/11.31 | | | (13) all_64_8 = e0
% 73.82/11.31 | | |
% 73.82/11.31 | | | COMBINE_EQS: (3), (13) imply:
% 73.82/11.31 | | | (14) all_4_0 = e0
% 73.82/11.31 | | |
% 73.82/11.31 | | | REDUCE: (4), (14) imply:
% 73.82/11.31 | | | (15) $false
% 73.82/11.31 | | |
% 73.82/11.31 | | | CLOSE: (15) is inconsistent.
% 73.82/11.31 | | |
% 73.82/11.31 | | End of split
% 73.82/11.31 | |
% 73.82/11.31 | End of split
% 73.82/11.31 |
% 73.82/11.31 End of proof
% 73.82/11.31
% 73.82/11.31 Sub-proof #83 shows that the following formulas are inconsistent:
% 73.82/11.31 ----------------------------------------------------------------
% 73.82/11.31 (1) ~ (all_28_0 = e2)
% 73.82/11.31 (2) all_64_12 = all_28_0
% 73.82/11.31 (3) all_64_12 = e3 | all_64_12 = e2 | all_64_12 = e1 | all_64_12 = e0
% 73.82/11.31 (4) ~ (all_28_0 = e1)
% 73.82/11.31 (5) ~ (all_28_0 = e3)
% 73.82/11.31 (6) ~ (all_28_0 = e0)
% 73.82/11.31
% 73.82/11.31 Begin of proof
% 73.82/11.31 |
% 73.82/11.31 | BETA: splitting (3) gives:
% 73.82/11.31 |
% 73.82/11.31 | Case 1:
% 73.82/11.31 | |
% 73.82/11.31 | | (7) all_64_12 = e3
% 73.82/11.31 | |
% 73.82/11.31 | | REF_CLOSE: (2), (5), (7) are inconsistent by sub-proof #86.
% 73.82/11.31 | |
% 73.82/11.31 | Case 2:
% 73.82/11.31 | |
% 73.82/11.31 | | (8) all_64_12 = e2 | all_64_12 = e1 | all_64_12 = e0
% 73.82/11.31 | |
% 73.82/11.31 | | REF_CLOSE: (1), (2), (4), (6), (8) are inconsistent by sub-proof #84.
% 73.82/11.31 | |
% 73.82/11.31 | End of split
% 73.82/11.31 |
% 73.82/11.31 End of proof
% 73.82/11.31
% 73.82/11.31 Sub-proof #84 shows that the following formulas are inconsistent:
% 73.82/11.31 ----------------------------------------------------------------
% 73.82/11.31 (1) all_64_12 = e2 | all_64_12 = e1 | all_64_12 = e0
% 73.82/11.31 (2) ~ (all_28_0 = e2)
% 73.82/11.31 (3) all_64_12 = all_28_0
% 73.82/11.31 (4) ~ (all_28_0 = e1)
% 73.82/11.31 (5) ~ (all_28_0 = e0)
% 73.82/11.31
% 73.82/11.31 Begin of proof
% 73.82/11.31 |
% 73.82/11.31 | BETA: splitting (1) gives:
% 73.82/11.31 |
% 73.82/11.31 | Case 1:
% 73.82/11.31 | |
% 73.82/11.31 | | (6) all_64_12 = e2
% 73.82/11.31 | |
% 73.82/11.31 | | COMBINE_EQS: (3), (6) imply:
% 73.82/11.31 | | (7) all_28_0 = e2
% 73.82/11.31 | |
% 73.82/11.31 | | REDUCE: (2), (7) imply:
% 73.82/11.31 | | (8) $false
% 73.82/11.31 | |
% 73.82/11.31 | | CLOSE: (8) is inconsistent.
% 73.82/11.31 | |
% 73.82/11.31 | Case 2:
% 73.82/11.31 | |
% 73.82/11.31 | | (9) all_64_12 = e1 | all_64_12 = e0
% 73.82/11.31 | |
% 73.82/11.31 | | REF_CLOSE: (3), (4), (5), (9) are inconsistent by sub-proof #85.
% 73.82/11.31 | |
% 73.82/11.31 | End of split
% 73.82/11.31 |
% 73.82/11.31 End of proof
% 73.82/11.31
% 73.82/11.31 Sub-proof #85 shows that the following formulas are inconsistent:
% 73.82/11.31 ----------------------------------------------------------------
% 73.82/11.31 (1) all_64_12 = e1 | all_64_12 = e0
% 73.82/11.31 (2) all_64_12 = all_28_0
% 73.82/11.31 (3) ~ (all_28_0 = e1)
% 73.82/11.31 (4) ~ (all_28_0 = e0)
% 73.82/11.31
% 73.82/11.31 Begin of proof
% 73.82/11.31 |
% 73.82/11.31 | BETA: splitting (1) gives:
% 73.82/11.31 |
% 73.82/11.31 | Case 1:
% 73.82/11.31 | |
% 73.82/11.31 | | (5) all_64_12 = e1
% 73.82/11.31 | |
% 73.82/11.31 | | COMBINE_EQS: (2), (5) imply:
% 73.82/11.31 | | (6) all_28_0 = e1
% 73.82/11.31 | |
% 73.82/11.31 | | REDUCE: (3), (6) imply:
% 73.82/11.31 | | (7) $false
% 73.82/11.31 | |
% 73.82/11.31 | | CLOSE: (7) is inconsistent.
% 73.82/11.31 | |
% 73.82/11.31 | Case 2:
% 73.82/11.31 | |
% 73.82/11.31 | | (8) all_64_12 = e0
% 73.82/11.31 | |
% 73.82/11.31 | | COMBINE_EQS: (2), (8) imply:
% 73.82/11.31 | | (9) all_28_0 = e0
% 73.82/11.31 | |
% 73.82/11.31 | | REDUCE: (4), (9) imply:
% 73.82/11.31 | | (10) $false
% 73.82/11.31 | |
% 73.82/11.31 | | CLOSE: (10) is inconsistent.
% 73.82/11.31 | |
% 73.82/11.31 | End of split
% 73.82/11.31 |
% 73.82/11.31 End of proof
% 73.82/11.31
% 73.82/11.31 Sub-proof #86 shows that the following formulas are inconsistent:
% 73.82/11.31 ----------------------------------------------------------------
% 73.82/11.31 (1) all_64_12 = all_28_0
% 73.82/11.31 (2) all_64_12 = e3
% 73.82/11.31 (3) ~ (all_28_0 = e3)
% 73.82/11.31
% 73.82/11.31 Begin of proof
% 73.82/11.31 |
% 73.82/11.31 | COMBINE_EQS: (1), (2) imply:
% 73.82/11.31 | (4) all_28_0 = e3
% 73.82/11.31 |
% 73.82/11.31 | SIMP: (4) implies:
% 73.82/11.31 | (5) all_28_0 = e3
% 73.82/11.31 |
% 73.82/11.31 | REDUCE: (3), (5) imply:
% 73.82/11.31 | (6) $false
% 73.82/11.31 |
% 73.82/11.31 | CLOSE: (6) is inconsistent.
% 73.82/11.31 |
% 73.82/11.31 End of proof
% 73.82/11.31
% 73.82/11.31 Sub-proof #87 shows that the following formulas are inconsistent:
% 73.82/11.31 ----------------------------------------------------------------
% 73.82/11.31 (1) ~ (all_22_0 = all_12_0)
% 73.82/11.31 (2) ~ (all_8_0 = e1)
% 73.82/11.31 (3) ~ (all_12_0 = e0)
% 73.82/11.31 (4) ~ (all_22_0 = e3)
% 73.82/11.31 (5) all_64_7 = e3 | all_64_7 = e2 | all_64_7 = e1 | all_64_7 = e0
% 73.82/11.31 (6) ~ (all_12_0 = e3)
% 73.82/11.31 (7) all_64_11 = all_8_0
% 73.82/11.31 (8) ~ (all_8_0 = e3)
% 73.82/11.31 (9) all_64_11 = e3 | all_64_11 = e2 | all_64_11 = e1 | all_64_11 = e0
% 73.82/11.31 (10) ~ (all_8_0 = e2)
% 73.82/11.31 (11) ~ (all_22_0 = all_8_0)
% 73.82/11.31 (12) ~ (all_22_0 = e1)
% 73.82/11.31 (13) all_64_6 = all_12_0
% 73.82/11.31 (14) ~ (all_12_0 = e1)
% 73.82/11.31 (15) all_64_6 = e3 | all_64_6 = e2 | all_64_6 = e1 | all_64_6 = e0
% 73.82/11.31 (16) all_64_7 = all_22_0
% 73.82/11.31
% 73.82/11.31 Begin of proof
% 73.82/11.31 |
% 73.82/11.31 | BETA: splitting (15) gives:
% 73.82/11.31 |
% 73.82/11.31 | Case 1:
% 73.82/11.31 | |
% 73.82/11.31 | | (17) all_64_6 = e3
% 73.82/11.31 | |
% 73.82/11.31 | | REF_CLOSE: (6), (13), (17) are inconsistent by sub-proof #95.
% 73.82/11.31 | |
% 73.82/11.31 | Case 2:
% 73.82/11.31 | |
% 73.82/11.31 | | (18) all_64_6 = e2 | all_64_6 = e1 | all_64_6 = e0
% 73.82/11.31 | |
% 73.82/11.31 | | BETA: splitting (18) gives:
% 73.82/11.31 | |
% 73.82/11.31 | | Case 1:
% 73.82/11.31 | | |
% 73.82/11.31 | | | (19) all_64_6 = e2
% 73.82/11.31 | | |
% 73.82/11.31 | | | COMBINE_EQS: (13), (19) imply:
% 73.82/11.31 | | | (20) all_12_0 = e2
% 73.82/11.31 | | |
% 73.82/11.31 | | | SIMP: (20) implies:
% 73.82/11.31 | | | (21) all_12_0 = e2
% 73.82/11.31 | | |
% 73.82/11.31 | | | REDUCE: (1), (21) imply:
% 73.82/11.31 | | | (22) ~ (all_22_0 = e2)
% 73.82/11.31 | | |
% 73.82/11.31 | | | REF_CLOSE: (2), (4), (5), (7), (8), (9), (10), (11), (12), (16), (22) are
% 73.82/11.31 | | | inconsistent by sub-proof #89.
% 73.82/11.31 | | |
% 73.82/11.31 | | Case 2:
% 73.82/11.31 | | |
% 73.82/11.31 | | | (23) all_64_6 = e1 | all_64_6 = e0
% 73.82/11.31 | | |
% 73.82/11.31 | | | REF_CLOSE: (3), (13), (14), (23) are inconsistent by sub-proof #88.
% 73.82/11.31 | | |
% 73.82/11.31 | | End of split
% 73.82/11.31 | |
% 73.82/11.31 | End of split
% 73.82/11.31 |
% 73.82/11.31 End of proof
% 73.82/11.31
% 73.82/11.31 Sub-proof #88 shows that the following formulas are inconsistent:
% 73.82/11.31 ----------------------------------------------------------------
% 73.82/11.31 (1) all_64_6 = e1 | all_64_6 = e0
% 73.82/11.31 (2) all_64_6 = all_12_0
% 73.82/11.31 (3) ~ (all_12_0 = e1)
% 73.82/11.31 (4) ~ (all_12_0 = e0)
% 73.82/11.31
% 73.82/11.31 Begin of proof
% 73.82/11.31 |
% 73.82/11.31 | BETA: splitting (1) gives:
% 73.82/11.31 |
% 73.82/11.31 | Case 1:
% 73.82/11.31 | |
% 73.82/11.31 | | (5) all_64_6 = e1
% 73.82/11.31 | |
% 73.82/11.31 | | COMBINE_EQS: (2), (5) imply:
% 73.82/11.31 | | (6) all_12_0 = e1
% 73.82/11.31 | |
% 73.82/11.31 | | REDUCE: (3), (6) imply:
% 73.82/11.31 | | (7) $false
% 73.82/11.31 | |
% 73.82/11.31 | | CLOSE: (7) is inconsistent.
% 73.82/11.31 | |
% 73.82/11.31 | Case 2:
% 73.82/11.31 | |
% 73.82/11.31 | | (8) all_64_6 = e0
% 73.82/11.31 | |
% 73.82/11.31 | | COMBINE_EQS: (2), (8) imply:
% 73.82/11.31 | | (9) all_12_0 = e0
% 73.82/11.31 | |
% 73.82/11.31 | | REDUCE: (4), (9) imply:
% 73.82/11.31 | | (10) $false
% 73.82/11.31 | |
% 73.82/11.31 | | CLOSE: (10) is inconsistent.
% 73.82/11.31 | |
% 73.82/11.31 | End of split
% 73.82/11.31 |
% 73.82/11.31 End of proof
% 73.82/11.31
% 73.82/11.31 Sub-proof #89 shows that the following formulas are inconsistent:
% 73.82/11.31 ----------------------------------------------------------------
% 73.82/11.31 (1) ~ (all_8_0 = e1)
% 73.82/11.31 (2) ~ (all_22_0 = e3)
% 73.82/11.31 (3) all_64_7 = e3 | all_64_7 = e2 | all_64_7 = e1 | all_64_7 = e0
% 73.82/11.31 (4) all_64_11 = all_8_0
% 73.82/11.31 (5) ~ (all_8_0 = e3)
% 73.82/11.31 (6) all_64_11 = e3 | all_64_11 = e2 | all_64_11 = e1 | all_64_11 = e0
% 73.82/11.31 (7) ~ (all_8_0 = e2)
% 73.82/11.31 (8) ~ (all_22_0 = all_8_0)
% 73.82/11.31 (9) ~ (all_22_0 = e1)
% 73.82/11.31 (10) ~ (all_22_0 = e2)
% 73.82/11.31 (11) all_64_7 = all_22_0
% 73.82/11.31
% 73.82/11.31 Begin of proof
% 73.82/11.31 |
% 73.82/11.31 | BETA: splitting (3) gives:
% 73.82/11.31 |
% 73.82/11.31 | Case 1:
% 73.82/11.31 | |
% 73.82/11.31 | | (12) all_64_7 = e3
% 73.82/11.31 | |
% 73.82/11.31 | | REF_CLOSE: (2), (11), (12) are inconsistent by sub-proof #94.
% 73.82/11.31 | |
% 73.82/11.31 | Case 2:
% 73.82/11.31 | |
% 73.82/11.31 | | (13) all_64_7 = e2 | all_64_7 = e1 | all_64_7 = e0
% 73.82/11.31 | |
% 73.82/11.31 | | BETA: splitting (13) gives:
% 73.82/11.31 | |
% 73.82/11.31 | | Case 1:
% 73.82/11.31 | | |
% 73.82/11.31 | | | (14) all_64_7 = e2
% 73.82/11.31 | | |
% 73.82/11.31 | | | REF_CLOSE: (10), (11), (14) are inconsistent by sub-proof #93.
% 73.82/11.31 | | |
% 73.82/11.31 | | Case 2:
% 73.82/11.31 | | |
% 73.82/11.31 | | | (15) all_64_7 = e1 | all_64_7 = e0
% 73.82/11.31 | | |
% 73.82/11.31 | | | BETA: splitting (15) gives:
% 73.82/11.31 | | |
% 73.82/11.31 | | | Case 1:
% 73.82/11.31 | | | |
% 73.82/11.31 | | | | (16) all_64_7 = e1
% 73.82/11.31 | | | |
% 73.82/11.31 | | | | REF_CLOSE: (9), (11), (16) are inconsistent by sub-proof #92.
% 73.82/11.31 | | | |
% 73.82/11.31 | | | Case 2:
% 73.82/11.31 | | | |
% 73.82/11.31 | | | | (17) all_64_7 = e0
% 73.82/11.31 | | | |
% 73.82/11.31 | | | | COMBINE_EQS: (11), (17) imply:
% 73.82/11.31 | | | | (18) all_22_0 = e0
% 73.82/11.31 | | | |
% 73.82/11.31 | | | | SIMP: (18) implies:
% 73.82/11.31 | | | | (19) all_22_0 = e0
% 73.82/11.31 | | | |
% 73.82/11.31 | | | | REDUCE: (8), (19) imply:
% 73.82/11.31 | | | | (20) ~ (all_8_0 = e0)
% 73.82/11.31 | | | |
% 73.82/11.31 | | | | SIMP: (20) implies:
% 73.82/11.31 | | | | (21) ~ (all_8_0 = e0)
% 73.82/11.31 | | | |
% 73.82/11.31 | | | | REF_CLOSE: (1), (4), (5), (6), (7), (21) are inconsistent by sub-proof
% 73.82/11.31 | | | | #90.
% 73.82/11.31 | | | |
% 73.82/11.31 | | | End of split
% 73.82/11.31 | | |
% 73.82/11.31 | | End of split
% 73.82/11.31 | |
% 73.82/11.31 | End of split
% 73.82/11.31 |
% 73.82/11.31 End of proof
% 73.82/11.31
% 73.82/11.31 Sub-proof #90 shows that the following formulas are inconsistent:
% 73.82/11.31 ----------------------------------------------------------------
% 73.82/11.31 (1) ~ (all_8_0 = e1)
% 73.82/11.31 (2) ~ (all_8_0 = e0)
% 73.82/11.31 (3) all_64_11 = all_8_0
% 73.82/11.31 (4) ~ (all_8_0 = e3)
% 73.82/11.31 (5) all_64_11 = e3 | all_64_11 = e2 | all_64_11 = e1 | all_64_11 = e0
% 73.82/11.32 (6) ~ (all_8_0 = e2)
% 73.82/11.32
% 73.82/11.32 Begin of proof
% 73.82/11.32 |
% 73.82/11.32 | BETA: splitting (5) gives:
% 73.82/11.32 |
% 73.82/11.32 | Case 1:
% 73.82/11.32 | |
% 73.82/11.32 | | (7) all_64_11 = e3
% 73.82/11.32 | |
% 73.82/11.32 | | COMBINE_EQS: (3), (7) imply:
% 73.82/11.32 | | (8) all_8_0 = e3
% 73.82/11.32 | |
% 73.82/11.32 | | REDUCE: (4), (8) imply:
% 73.82/11.32 | | (9) $false
% 73.82/11.32 | |
% 73.82/11.32 | | CLOSE: (9) is inconsistent.
% 73.82/11.32 | |
% 73.82/11.32 | Case 2:
% 73.82/11.32 | |
% 73.82/11.32 | | (10) all_64_11 = e2 | all_64_11 = e1 | all_64_11 = e0
% 73.82/11.32 | |
% 73.82/11.32 | | BETA: splitting (10) gives:
% 73.82/11.32 | |
% 73.82/11.32 | | Case 1:
% 73.82/11.32 | | |
% 73.82/11.32 | | | (11) all_64_11 = e2
% 73.82/11.32 | | |
% 73.82/11.32 | | | COMBINE_EQS: (3), (11) imply:
% 73.82/11.32 | | | (12) all_8_0 = e2
% 73.82/11.32 | | |
% 73.82/11.32 | | | REDUCE: (6), (12) imply:
% 73.82/11.32 | | | (13) $false
% 73.82/11.32 | | |
% 73.82/11.32 | | | CLOSE: (13) is inconsistent.
% 73.82/11.32 | | |
% 73.82/11.32 | | Case 2:
% 73.82/11.32 | | |
% 73.82/11.32 | | | (14) all_64_11 = e1 | all_64_11 = e0
% 73.82/11.32 | | |
% 73.82/11.32 | | | REF_CLOSE: (1), (2), (3), (14) are inconsistent by sub-proof #91.
% 73.82/11.32 | | |
% 73.82/11.32 | | End of split
% 73.82/11.32 | |
% 73.82/11.32 | End of split
% 73.82/11.32 |
% 73.82/11.32 End of proof
% 73.82/11.32
% 73.82/11.32 Sub-proof #91 shows that the following formulas are inconsistent:
% 73.82/11.32 ----------------------------------------------------------------
% 73.82/11.32 (1) all_64_11 = e1 | all_64_11 = e0
% 73.82/11.32 (2) all_64_11 = all_8_0
% 73.82/11.32 (3) ~ (all_8_0 = e1)
% 73.82/11.32 (4) ~ (all_8_0 = e0)
% 73.82/11.32
% 73.82/11.32 Begin of proof
% 73.82/11.32 |
% 73.82/11.32 | BETA: splitting (1) gives:
% 73.82/11.32 |
% 73.82/11.32 | Case 1:
% 73.82/11.32 | |
% 73.82/11.32 | | (5) all_64_11 = e1
% 73.82/11.32 | |
% 73.82/11.32 | | COMBINE_EQS: (2), (5) imply:
% 73.82/11.32 | | (6) all_8_0 = e1
% 73.82/11.32 | |
% 73.82/11.32 | | REDUCE: (3), (6) imply:
% 73.82/11.32 | | (7) $false
% 73.82/11.32 | |
% 73.82/11.32 | | CLOSE: (7) is inconsistent.
% 73.82/11.32 | |
% 73.82/11.32 | Case 2:
% 73.82/11.32 | |
% 73.82/11.32 | | (8) all_64_11 = e0
% 73.82/11.32 | |
% 73.82/11.32 | | COMBINE_EQS: (2), (8) imply:
% 73.82/11.32 | | (9) all_8_0 = e0
% 73.82/11.32 | |
% 73.82/11.32 | | REDUCE: (4), (9) imply:
% 73.82/11.32 | | (10) $false
% 73.82/11.32 | |
% 73.82/11.32 | | CLOSE: (10) is inconsistent.
% 73.82/11.32 | |
% 73.82/11.32 | End of split
% 73.82/11.32 |
% 73.82/11.32 End of proof
% 73.82/11.32
% 73.82/11.32 Sub-proof #92 shows that the following formulas are inconsistent:
% 73.82/11.32 ----------------------------------------------------------------
% 73.82/11.32 (1) all_64_7 = all_22_0
% 73.82/11.32 (2) all_64_7 = e1
% 73.82/11.32 (3) ~ (all_22_0 = e1)
% 73.82/11.32
% 73.82/11.32 Begin of proof
% 73.82/11.32 |
% 73.82/11.32 | COMBINE_EQS: (1), (2) imply:
% 73.82/11.32 | (4) all_22_0 = e1
% 73.82/11.32 |
% 73.82/11.32 | SIMP: (4) implies:
% 73.82/11.32 | (5) all_22_0 = e1
% 73.82/11.32 |
% 73.82/11.32 | REDUCE: (3), (5) imply:
% 73.82/11.32 | (6) $false
% 73.82/11.32 |
% 73.82/11.32 | CLOSE: (6) is inconsistent.
% 73.82/11.32 |
% 73.82/11.32 End of proof
% 73.82/11.32
% 73.82/11.32 Sub-proof #93 shows that the following formulas are inconsistent:
% 73.82/11.32 ----------------------------------------------------------------
% 73.82/11.32 (1) all_64_7 = all_22_0
% 73.82/11.32 (2) all_64_7 = e2
% 73.82/11.32 (3) ~ (all_22_0 = e2)
% 73.82/11.32
% 73.82/11.32 Begin of proof
% 73.82/11.32 |
% 73.82/11.32 | COMBINE_EQS: (1), (2) imply:
% 73.82/11.32 | (4) all_22_0 = e2
% 73.82/11.32 |
% 73.82/11.32 | SIMP: (4) implies:
% 73.82/11.32 | (5) all_22_0 = e2
% 73.82/11.32 |
% 73.82/11.32 | REDUCE: (3), (5) imply:
% 73.82/11.32 | (6) $false
% 73.82/11.32 |
% 73.82/11.32 | CLOSE: (6) is inconsistent.
% 73.82/11.32 |
% 73.82/11.32 End of proof
% 73.82/11.32
% 73.82/11.32 Sub-proof #94 shows that the following formulas are inconsistent:
% 73.82/11.32 ----------------------------------------------------------------
% 73.82/11.32 (1) all_64_7 = all_22_0
% 73.82/11.32 (2) all_64_7 = e3
% 73.82/11.32 (3) ~ (all_22_0 = e3)
% 73.82/11.32
% 73.82/11.32 Begin of proof
% 73.82/11.32 |
% 73.82/11.32 | COMBINE_EQS: (1), (2) imply:
% 73.82/11.32 | (4) all_22_0 = e3
% 73.82/11.32 |
% 73.82/11.32 | SIMP: (4) implies:
% 73.82/11.32 | (5) all_22_0 = e3
% 73.82/11.32 |
% 73.82/11.32 | REDUCE: (3), (5) imply:
% 73.82/11.32 | (6) $false
% 73.82/11.32 |
% 73.82/11.32 | CLOSE: (6) is inconsistent.
% 73.82/11.32 |
% 73.82/11.32 End of proof
% 73.82/11.32
% 73.82/11.32 Sub-proof #95 shows that the following formulas are inconsistent:
% 73.82/11.32 ----------------------------------------------------------------
% 73.82/11.32 (1) all_64_6 = all_12_0
% 73.82/11.32 (2) all_64_6 = e3
% 73.82/11.32 (3) ~ (all_12_0 = e3)
% 73.82/11.32
% 73.82/11.32 Begin of proof
% 73.82/11.32 |
% 73.82/11.32 | COMBINE_EQS: (1), (2) imply:
% 73.82/11.32 | (4) all_12_0 = e3
% 73.82/11.32 |
% 73.82/11.32 | SIMP: (4) implies:
% 73.82/11.32 | (5) all_12_0 = e3
% 73.82/11.32 |
% 73.82/11.32 | REDUCE: (3), (5) imply:
% 73.82/11.32 | (6) $false
% 73.82/11.32 |
% 73.82/11.32 | CLOSE: (6) is inconsistent.
% 73.82/11.32 |
% 73.82/11.32 End of proof
% 73.82/11.32
% 73.82/11.32 Sub-proof #96 shows that the following formulas are inconsistent:
% 73.82/11.32 ----------------------------------------------------------------
% 73.82/11.32 (1) ~ (all_10_0 = e3)
% 73.82/11.32 (2) ~ (all_4_0 = e2)
% 73.82/11.32 (3) ~ (all_10_0 = all_4_0)
% 73.82/11.32 (4) all_64_9 = all_10_0
% 73.82/11.32 (5) all_64_4 = e3 | all_64_4 = e2 | all_64_4 = e1 | all_64_4 = e0
% 73.82/11.32 (6) all_64_8 = all_4_0
% 73.82/11.32 (7) all_64_8 = e3 | all_64_8 = e2 | all_64_8 = e1 | all_64_8 = e0
% 73.82/11.32 (8) ~ (all_10_0 = e2)
% 73.82/11.32 (9) ~ (all_4_0 = e0)
% 73.82/11.32 (10) ~ (all_6_0 = e2)
% 73.82/11.32 (11) ~ (all_6_0 = all_4_0)
% 73.82/11.32 (12) ~ (all_10_0 = e0)
% 73.82/11.32 (13) ~ (all_6_0 = e0)
% 73.82/11.32 (14) ~ (all_6_0 = e1)
% 73.82/11.32 (15) all_64_4 = all_6_0
% 73.82/11.32 (16) all_64_9 = e3 | all_64_9 = e2 | all_64_9 = e1 | all_64_9 = e0
% 73.82/11.32
% 73.82/11.32 Begin of proof
% 73.82/11.32 |
% 73.82/11.32 | BETA: splitting (5) gives:
% 73.82/11.32 |
% 73.82/11.32 | Case 1:
% 73.82/11.32 | |
% 73.82/11.32 | | (17) all_64_4 = e3
% 73.82/11.32 | |
% 73.82/11.32 | | COMBINE_EQS: (15), (17) imply:
% 73.82/11.32 | | (18) all_6_0 = e3
% 73.82/11.32 | |
% 73.82/11.32 | | REDUCE: (11), (18) imply:
% 73.82/11.32 | | (19) ~ (all_4_0 = e3)
% 73.82/11.32 | |
% 73.82/11.32 | | SIMP: (19) implies:
% 73.82/11.32 | | (20) ~ (all_4_0 = e3)
% 73.82/11.32 | |
% 73.82/11.32 | | REF_CLOSE: (1), (2), (3), (4), (6), (7), (8), (9), (12), (16), (20) are
% 73.82/11.32 | | inconsistent by sub-proof #99.
% 73.82/11.32 | |
% 73.82/11.32 | Case 2:
% 73.82/11.32 | |
% 73.82/11.32 | | (21) all_64_4 = e2 | all_64_4 = e1 | all_64_4 = e0
% 73.82/11.32 | |
% 73.82/11.32 | | REF_CLOSE: (10), (13), (14), (15), (21) are inconsistent by sub-proof #97.
% 73.82/11.32 | |
% 73.82/11.32 | End of split
% 73.82/11.32 |
% 73.82/11.32 End of proof
% 73.82/11.32
% 73.82/11.32 Sub-proof #97 shows that the following formulas are inconsistent:
% 73.82/11.32 ----------------------------------------------------------------
% 73.82/11.32 (1) all_64_4 = e2 | all_64_4 = e1 | all_64_4 = e0
% 73.82/11.32 (2) ~ (all_6_0 = e2)
% 73.82/11.32 (3) ~ (all_6_0 = e0)
% 73.82/11.32 (4) ~ (all_6_0 = e1)
% 73.82/11.32 (5) all_64_4 = all_6_0
% 73.82/11.32
% 73.82/11.32 Begin of proof
% 73.82/11.32 |
% 73.82/11.32 | BETA: splitting (1) gives:
% 73.82/11.32 |
% 73.82/11.32 | Case 1:
% 73.82/11.32 | |
% 73.82/11.32 | | (6) all_64_4 = e2
% 73.82/11.32 | |
% 73.82/11.32 | | COMBINE_EQS: (5), (6) imply:
% 73.82/11.32 | | (7) all_6_0 = e2
% 73.82/11.32 | |
% 73.82/11.32 | | REDUCE: (2), (7) imply:
% 73.82/11.32 | | (8) $false
% 73.82/11.32 | |
% 73.82/11.32 | | CLOSE: (8) is inconsistent.
% 73.82/11.32 | |
% 73.82/11.32 | Case 2:
% 73.82/11.32 | |
% 73.82/11.32 | | (9) all_64_4 = e1 | all_64_4 = e0
% 73.82/11.32 | |
% 73.82/11.32 | | REF_CLOSE: (3), (4), (5), (9) are inconsistent by sub-proof #98.
% 73.82/11.32 | |
% 73.82/11.32 | End of split
% 73.82/11.32 |
% 73.82/11.32 End of proof
% 73.82/11.32
% 73.82/11.32 Sub-proof #98 shows that the following formulas are inconsistent:
% 73.82/11.32 ----------------------------------------------------------------
% 73.82/11.32 (1) all_64_4 = e1 | all_64_4 = e0
% 73.82/11.32 (2) all_64_4 = all_6_0
% 73.82/11.32 (3) ~ (all_6_0 = e1)
% 73.82/11.32 (4) ~ (all_6_0 = e0)
% 73.82/11.32
% 73.82/11.32 Begin of proof
% 73.82/11.32 |
% 73.82/11.32 | BETA: splitting (1) gives:
% 73.82/11.32 |
% 73.82/11.32 | Case 1:
% 73.82/11.32 | |
% 73.82/11.32 | | (5) all_64_4 = e1
% 73.82/11.32 | |
% 73.82/11.32 | | COMBINE_EQS: (2), (5) imply:
% 73.82/11.32 | | (6) all_6_0 = e1
% 73.82/11.32 | |
% 73.82/11.32 | | REDUCE: (3), (6) imply:
% 73.82/11.32 | | (7) $false
% 73.82/11.32 | |
% 73.82/11.32 | | CLOSE: (7) is inconsistent.
% 73.82/11.32 | |
% 73.82/11.32 | Case 2:
% 73.82/11.32 | |
% 73.82/11.32 | | (8) all_64_4 = e0
% 73.82/11.32 | |
% 73.82/11.32 | | COMBINE_EQS: (2), (8) imply:
% 73.82/11.32 | | (9) all_6_0 = e0
% 73.82/11.32 | |
% 73.82/11.32 | | REDUCE: (4), (9) imply:
% 73.82/11.32 | | (10) $false
% 73.82/11.32 | |
% 73.82/11.32 | | CLOSE: (10) is inconsistent.
% 73.82/11.32 | |
% 73.82/11.32 | End of split
% 73.82/11.32 |
% 73.82/11.32 End of proof
% 73.82/11.32
% 73.82/11.32 Sub-proof #99 shows that the following formulas are inconsistent:
% 73.82/11.32 ----------------------------------------------------------------
% 73.82/11.32 (1) ~ (all_10_0 = e3)
% 73.82/11.32 (2) ~ (all_4_0 = e2)
% 73.82/11.32 (3) ~ (all_10_0 = all_4_0)
% 73.82/11.32 (4) all_64_9 = all_10_0
% 73.82/11.32 (5) all_64_8 = all_4_0
% 73.82/11.32 (6) all_64_8 = e3 | all_64_8 = e2 | all_64_8 = e1 | all_64_8 = e0
% 73.82/11.32 (7) ~ (all_10_0 = e2)
% 73.82/11.32 (8) ~ (all_4_0 = e0)
% 73.82/11.32 (9) ~ (all_10_0 = e0)
% 73.82/11.32 (10) ~ (all_4_0 = e3)
% 73.82/11.32 (11) all_64_9 = e3 | all_64_9 = e2 | all_64_9 = e1 | all_64_9 = e0
% 73.82/11.32
% 73.82/11.32 Begin of proof
% 73.82/11.32 |
% 73.82/11.32 | BETA: splitting (11) gives:
% 73.82/11.32 |
% 73.82/11.32 | Case 1:
% 73.82/11.32 | |
% 73.82/11.32 | | (12) all_64_9 = e3
% 73.82/11.32 | |
% 73.82/11.32 | | COMBINE_EQS: (4), (12) imply:
% 73.82/11.32 | | (13) all_10_0 = e3
% 73.82/11.32 | |
% 73.82/11.32 | | REDUCE: (1), (13) imply:
% 73.82/11.32 | | (14) $false
% 73.82/11.32 | |
% 73.82/11.32 | | CLOSE: (14) is inconsistent.
% 73.82/11.32 | |
% 73.82/11.32 | Case 2:
% 73.82/11.32 | |
% 73.82/11.32 | | (15) all_64_9 = e2 | all_64_9 = e1 | all_64_9 = e0
% 73.82/11.32 | |
% 73.82/11.32 | | BETA: splitting (6) gives:
% 73.82/11.32 | |
% 73.82/11.32 | | Case 1:
% 73.82/11.32 | | |
% 73.82/11.32 | | | (16) all_64_8 = e3
% 73.82/11.32 | | |
% 73.82/11.32 | | | COMBINE_EQS: (5), (16) imply:
% 73.82/11.32 | | | (17) all_4_0 = e3
% 73.82/11.32 | | |
% 73.82/11.32 | | | REDUCE: (10), (17) imply:
% 73.82/11.32 | | | (18) $false
% 73.82/11.32 | | |
% 73.82/11.32 | | | CLOSE: (18) is inconsistent.
% 73.82/11.32 | | |
% 73.82/11.32 | | Case 2:
% 73.82/11.32 | | |
% 73.82/11.32 | | | (19) all_64_8 = e2 | all_64_8 = e1 | all_64_8 = e0
% 73.82/11.32 | | |
% 73.82/11.32 | | | BETA: splitting (19) gives:
% 73.82/11.32 | | |
% 73.82/11.32 | | | Case 1:
% 73.82/11.32 | | | |
% 73.82/11.32 | | | | (20) all_64_8 = e2
% 73.82/11.32 | | | |
% 73.82/11.32 | | | | COMBINE_EQS: (5), (20) imply:
% 73.82/11.32 | | | | (21) all_4_0 = e2
% 73.82/11.32 | | | |
% 73.82/11.32 | | | | REDUCE: (2), (21) imply:
% 73.82/11.32 | | | | (22) $false
% 73.82/11.32 | | | |
% 73.82/11.32 | | | | CLOSE: (22) is inconsistent.
% 73.82/11.32 | | | |
% 73.82/11.32 | | | Case 2:
% 73.82/11.32 | | | |
% 73.82/11.32 | | | | (23) all_64_8 = e1 | all_64_8 = e0
% 73.82/11.32 | | | |
% 73.82/11.32 | | | | BETA: splitting (23) gives:
% 73.82/11.32 | | | |
% 73.82/11.32 | | | | Case 1:
% 73.82/11.32 | | | | |
% 73.82/11.32 | | | | | (24) all_64_8 = e1
% 73.82/11.32 | | | | |
% 73.82/11.32 | | | | | COMBINE_EQS: (5), (24) imply:
% 73.82/11.32 | | | | | (25) all_4_0 = e1
% 73.82/11.32 | | | | |
% 73.82/11.32 | | | | | REDUCE: (3), (25) imply:
% 73.82/11.32 | | | | | (26) ~ (all_10_0 = e1)
% 73.82/11.32 | | | | |
% 73.82/11.32 | | | | | REF_CLOSE: (4), (7), (9), (15), (26) are inconsistent by sub-proof
% 73.82/11.32 | | | | | #106.
% 73.82/11.32 | | | | |
% 73.82/11.32 | | | | Case 2:
% 73.82/11.32 | | | | |
% 73.82/11.32 | | | | | (27) all_64_8 = e0
% 73.82/11.32 | | | | |
% 73.82/11.32 | | | | | COMBINE_EQS: (5), (27) imply:
% 73.82/11.32 | | | | | (28) all_4_0 = e0
% 73.82/11.32 | | | | |
% 73.82/11.32 | | | | | REDUCE: (8), (28) imply:
% 73.82/11.32 | | | | | (29) $false
% 73.82/11.32 | | | | |
% 73.82/11.32 | | | | | CLOSE: (29) is inconsistent.
% 73.82/11.32 | | | | |
% 73.82/11.32 | | | | End of split
% 73.82/11.32 | | | |
% 73.82/11.32 | | | End of split
% 73.82/11.32 | | |
% 73.82/11.32 | | End of split
% 73.82/11.32 | |
% 73.82/11.32 | End of split
% 73.82/11.32 |
% 73.82/11.32 End of proof
% 73.82/11.32
% 73.82/11.32 Sub-proof #100 shows that the following formulas are inconsistent:
% 73.82/11.32 ----------------------------------------------------------------
% 73.82/11.32 (1) all_56_0 = e3 & all_56_1 = e3 & all_56_2 = e3 & all_56_3 = e3
% 73.82/11.32 (2) all_56_3 = unit
% 73.82/11.32 (3) ~ (unit = e3)
% 73.82/11.32
% 73.82/11.32 Begin of proof
% 73.82/11.32 |
% 73.82/11.32 | ALPHA: (1) implies:
% 73.82/11.32 | (4) all_56_3 = e3
% 73.82/11.32 |
% 73.82/11.32 | COMBINE_EQS: (2), (4) imply:
% 73.82/11.32 | (5) unit = e3
% 73.82/11.32 |
% 73.82/11.32 | REDUCE: (3), (5) imply:
% 73.82/11.32 | (6) $false
% 73.82/11.32 |
% 73.82/11.32 | CLOSE: (6) is inconsistent.
% 73.82/11.32 |
% 73.82/11.32 End of proof
% 73.82/11.32
% 73.82/11.32 Sub-proof #101 shows that the following formulas are inconsistent:
% 73.82/11.32 ----------------------------------------------------------------
% 73.82/11.32 (1) all_60_3 = all_52_3
% 73.82/11.32 (2) all_60_3 = e1
% 73.82/11.32 (3) ~ (all_52_3 = e1)
% 73.82/11.32
% 73.82/11.32 Begin of proof
% 73.82/11.32 |
% 73.82/11.32 | COMBINE_EQS: (1), (2) imply:
% 73.82/11.32 | (4) all_52_3 = e1
% 73.82/11.32 |
% 73.82/11.32 | SIMP: (4) implies:
% 73.82/11.32 | (5) all_52_3 = e1
% 73.82/11.32 |
% 73.82/11.32 | REDUCE: (3), (5) imply:
% 73.82/11.32 | (6) $false
% 73.82/11.32 |
% 73.82/11.32 | CLOSE: (6) is inconsistent.
% 73.82/11.32 |
% 73.82/11.32 End of proof
% 73.82/11.32
% 73.82/11.32 Sub-proof #102 shows that the following formulas are inconsistent:
% 73.82/11.32 ----------------------------------------------------------------
% 73.82/11.32 (1) all_60_3 = all_52_3
% 73.82/11.32 (2) all_60_3 = e2
% 73.82/11.32 (3) ~ (all_52_3 = e2)
% 73.82/11.32
% 73.82/11.32 Begin of proof
% 73.82/11.32 |
% 73.82/11.32 | COMBINE_EQS: (1), (2) imply:
% 73.82/11.32 | (4) all_52_3 = e2
% 73.82/11.32 |
% 73.82/11.32 | SIMP: (4) implies:
% 73.82/11.32 | (5) all_52_3 = e2
% 73.82/11.32 |
% 73.82/11.32 | REDUCE: (3), (5) imply:
% 73.82/11.32 | (6) $false
% 73.82/11.32 |
% 73.82/11.32 | CLOSE: (6) is inconsistent.
% 73.82/11.32 |
% 73.82/11.32 End of proof
% 73.82/11.32
% 73.82/11.32 Sub-proof #103 shows that the following formulas are inconsistent:
% 73.82/11.32 ----------------------------------------------------------------
% 73.82/11.32 (1) all_60_3 = all_52_3
% 73.82/11.32 (2) all_60_3 = e3
% 73.82/11.32 (3) ~ (all_52_3 = e3)
% 73.82/11.32
% 73.82/11.32 Begin of proof
% 73.82/11.32 |
% 73.82/11.32 | COMBINE_EQS: (1), (2) imply:
% 73.82/11.32 | (4) all_52_3 = e3
% 73.82/11.32 |
% 73.82/11.32 | SIMP: (4) implies:
% 73.82/11.32 | (5) all_52_3 = e3
% 73.82/11.32 |
% 73.82/11.32 | REDUCE: (3), (5) imply:
% 73.82/11.32 | (6) $false
% 73.82/11.32 |
% 73.82/11.32 | CLOSE: (6) is inconsistent.
% 73.82/11.32 |
% 73.82/11.32 End of proof
% 73.82/11.32
% 73.82/11.32 Sub-proof #104 shows that the following formulas are inconsistent:
% 73.82/11.32 ----------------------------------------------------------------
% 73.82/11.32 (1) all_60_1 = all_52_1
% 73.82/11.32 (2) all_60_1 = e3
% 73.82/11.32 (3) ~ (all_52_1 = e3)
% 73.82/11.32
% 73.82/11.32 Begin of proof
% 73.82/11.32 |
% 73.82/11.32 | COMBINE_EQS: (1), (2) imply:
% 73.82/11.32 | (4) all_52_1 = e3
% 73.82/11.32 |
% 73.82/11.32 | SIMP: (4) implies:
% 73.82/11.32 | (5) all_52_1 = e3
% 73.82/11.32 |
% 73.82/11.32 | REDUCE: (3), (5) imply:
% 73.82/11.32 | (6) $false
% 73.82/11.32 |
% 73.82/11.32 | CLOSE: (6) is inconsistent.
% 73.82/11.32 |
% 73.82/11.32 End of proof
% 73.82/11.32
% 73.82/11.32 Sub-proof #105 shows that the following formulas are inconsistent:
% 73.82/11.32 ----------------------------------------------------------------
% 73.82/11.32 (1) ~ (all_10_0 = e3)
% 73.82/11.32 (2) all_64_9 = all_10_0
% 73.82/11.32 (3) ~ (all_10_0 = e2)
% 73.82/11.32 (4) ~ (all_10_0 = e0)
% 73.82/11.32 (5) ~ (all_10_0 = e1)
% 73.82/11.32 (6) all_64_9 = e3 | all_64_9 = e2 | all_64_9 = e1 | all_64_9 = e0
% 73.82/11.32
% 73.82/11.32 Begin of proof
% 73.82/11.32 |
% 73.82/11.32 | BETA: splitting (6) gives:
% 73.82/11.32 |
% 73.82/11.32 | Case 1:
% 73.82/11.32 | |
% 73.82/11.32 | | (7) all_64_9 = e3
% 73.82/11.32 | |
% 73.82/11.32 | | COMBINE_EQS: (2), (7) imply:
% 73.82/11.32 | | (8) all_10_0 = e3
% 73.82/11.32 | |
% 73.82/11.32 | | REDUCE: (1), (8) imply:
% 73.82/11.32 | | (9) $false
% 73.82/11.32 | |
% 73.82/11.32 | | CLOSE: (9) is inconsistent.
% 73.82/11.32 | |
% 73.82/11.32 | Case 2:
% 73.82/11.32 | |
% 73.82/11.32 | | (10) all_64_9 = e2 | all_64_9 = e1 | all_64_9 = e0
% 73.82/11.32 | |
% 73.82/11.32 | | REF_CLOSE: (2), (3), (4), (5), (10) are inconsistent by sub-proof #106.
% 73.82/11.32 | |
% 73.82/11.32 | End of split
% 73.82/11.32 |
% 73.82/11.32 End of proof
% 73.82/11.32
% 73.82/11.32 Sub-proof #106 shows that the following formulas are inconsistent:
% 73.82/11.32 ----------------------------------------------------------------
% 73.82/11.32 (1) all_64_9 = all_10_0
% 73.82/11.32 (2) ~ (all_10_0 = e2)
% 73.82/11.32 (3) all_64_9 = e2 | all_64_9 = e1 | all_64_9 = e0
% 73.82/11.32 (4) ~ (all_10_0 = e0)
% 73.82/11.32 (5) ~ (all_10_0 = e1)
% 73.82/11.32
% 73.82/11.32 Begin of proof
% 73.82/11.32 |
% 73.82/11.32 | BETA: splitting (3) gives:
% 73.82/11.32 |
% 73.82/11.32 | Case 1:
% 73.82/11.32 | |
% 73.82/11.32 | | (6) all_64_9 = e2
% 73.82/11.32 | |
% 73.82/11.32 | | COMBINE_EQS: (1), (6) imply:
% 73.82/11.32 | | (7) all_10_0 = e2
% 73.82/11.32 | |
% 73.82/11.32 | | REDUCE: (2), (7) imply:
% 73.82/11.32 | | (8) $false
% 73.82/11.32 | |
% 73.82/11.32 | | CLOSE: (8) is inconsistent.
% 73.82/11.32 | |
% 73.82/11.32 | Case 2:
% 73.82/11.32 | |
% 73.82/11.32 | | (9) all_64_9 = e1 | all_64_9 = e0
% 73.82/11.32 | |
% 73.82/11.32 | | REF_CLOSE: (1), (4), (5), (9) are inconsistent by sub-proof #107.
% 73.82/11.32 | |
% 73.82/11.32 | End of split
% 73.82/11.32 |
% 73.82/11.32 End of proof
% 73.82/11.32
% 73.82/11.32 Sub-proof #107 shows that the following formulas are inconsistent:
% 73.82/11.32 ----------------------------------------------------------------
% 73.82/11.32 (1) all_64_9 = e1 | all_64_9 = e0
% 73.82/11.32 (2) all_64_9 = all_10_0
% 73.82/11.32 (3) ~ (all_10_0 = e1)
% 73.82/11.32 (4) ~ (all_10_0 = e0)
% 73.82/11.32
% 73.82/11.32 Begin of proof
% 73.82/11.32 |
% 73.82/11.32 | BETA: splitting (1) gives:
% 73.82/11.32 |
% 73.82/11.32 | Case 1:
% 73.82/11.32 | |
% 73.82/11.32 | | (5) all_64_9 = e1
% 73.82/11.32 | |
% 73.82/11.32 | | COMBINE_EQS: (2), (5) imply:
% 73.82/11.32 | | (6) all_10_0 = e1
% 73.82/11.32 | |
% 73.82/11.32 | | REDUCE: (3), (6) imply:
% 73.82/11.32 | | (7) $false
% 73.82/11.32 | |
% 73.82/11.32 | | CLOSE: (7) is inconsistent.
% 73.82/11.32 | |
% 73.82/11.32 | Case 2:
% 73.82/11.32 | |
% 73.82/11.32 | | (8) all_64_9 = e0
% 73.82/11.32 | |
% 73.82/11.32 | | COMBINE_EQS: (2), (8) imply:
% 73.82/11.32 | | (9) all_10_0 = e0
% 73.82/11.32 | |
% 73.82/11.32 | | REDUCE: (4), (9) imply:
% 73.82/11.32 | | (10) $false
% 73.82/11.32 | |
% 73.82/11.32 | | CLOSE: (10) is inconsistent.
% 73.82/11.32 | |
% 73.82/11.32 | End of split
% 73.82/11.32 |
% 73.82/11.32 End of proof
% 73.82/11.32 % SZS output end Proof for theBenchmark
% 73.82/11.32
% 73.82/11.32 10720ms
%------------------------------------------------------------------------------