TSTP Solution File: ALG108+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : ALG108+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 : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 16:36:23 EDT 2023
% Result : Theorem 21.79s 3.83s
% Output : Proof 58.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ALG108+1 : TPTP v8.1.2. Released v2.7.0.
% 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 05:35:44 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.61 ________ _____
% 0.19/0.61 ___ __ \_________(_)________________________________
% 0.19/0.61 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.19/0.61 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.19/0.61 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.19/0.61
% 0.19/0.61 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.19/0.61 (2023-06-19)
% 0.19/0.61
% 0.19/0.61 (c) Philipp Rümmer, 2009-2023
% 0.19/0.61 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.19/0.61 Amanda Stjerna.
% 0.19/0.61 Free software under BSD-3-Clause.
% 0.19/0.61
% 0.19/0.61 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.19/0.61
% 0.19/0.61 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.19/0.62 Running up to 7 provers in parallel.
% 0.19/0.64 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.19/0.64 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.19/0.64 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.19/0.64 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.19/0.64 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.19/0.64 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.19/0.64 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 7.32/1.75 Prover 4: Preprocessing ...
% 7.32/1.75 Prover 1: Preprocessing ...
% 7.32/1.78 Prover 3: Preprocessing ...
% 7.32/1.78 Prover 5: Preprocessing ...
% 7.32/1.78 Prover 0: Preprocessing ...
% 7.32/1.78 Prover 6: Preprocessing ...
% 7.32/1.78 Prover 2: Preprocessing ...
% 13.42/2.62 Prover 1: Constructing countermodel ...
% 13.42/2.63 Prover 3: Constructing countermodel ...
% 14.21/2.63 Prover 2: Constructing countermodel ...
% 14.21/2.65 Prover 4: Constructing countermodel ...
% 14.21/2.66 Prover 6: Constructing countermodel ...
% 14.21/2.68 Prover 0: Constructing countermodel ...
% 20.02/3.51 Prover 5: Constructing countermodel ...
% 21.79/3.82 Prover 0: proved (3190ms)
% 21.79/3.82
% 21.79/3.83 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 21.79/3.83
% 21.79/3.83 Prover 2: stopped
% 21.79/3.84 Prover 6: stopped
% 21.79/3.84 Prover 3: stopped
% 22.96/3.89 Prover 5: stopped
% 22.96/3.90 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 22.96/3.90 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 22.96/3.91 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 22.96/3.91 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 22.96/3.91 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 26.25/4.30 Prover 10: Preprocessing ...
% 26.81/4.35 Prover 13: Preprocessing ...
% 26.81/4.35 Prover 7: Preprocessing ...
% 26.81/4.35 Prover 8: Preprocessing ...
% 27.06/4.38 Prover 11: Preprocessing ...
% 27.94/4.54 Prover 8: Constructing countermodel ...
% 29.20/4.68 Prover 7: Constructing countermodel ...
% 29.20/4.73 Prover 10: Constructing countermodel ...
% 29.20/4.73 Prover 11: Constructing countermodel ...
% 29.74/4.74 Prover 13: Constructing countermodel ...
% 51.82/7.70 Prover 4: Found proof (size 4833)
% 51.82/7.70 Prover 4: proved (7064ms)
% 51.82/7.71 Prover 7: stopped
% 51.82/7.71 Prover 11: stopped
% 51.82/7.71 Prover 13: stopped
% 51.82/7.71 Prover 8: stopped
% 51.82/7.71 Prover 10: stopped
% 52.45/7.72 Prover 1: Found proof (size 4088)
% 52.45/7.72 Prover 1: proved (7087ms)
% 52.45/7.72
% 52.45/7.72 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 52.45/7.72
% 54.64/8.51 % SZS output start Proof for theBenchmark
% 54.64/8.53 Assumptions after simplification:
% 54.64/8.53 ---------------------------------
% 54.64/8.53
% 54.64/8.53 (ax1)
% 55.04/8.58 $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 55.04/8.58 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 55.04/8.58 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 55.04/8.58 [v13: $i] : ? [v14: $i] : ? [v15: $i] : (op1(e13, e13) = v15 & op1(e13, e12)
% 55.04/8.58 = v14 & op1(e13, e11) = v13 & op1(e13, e10) = v12 & op1(e12, e13) = v11 &
% 55.04/8.58 op1(e12, e12) = v10 & op1(e12, e11) = v9 & op1(e12, e10) = v8 & op1(e11,
% 55.04/8.58 e13) = v7 & op1(e11, e12) = v6 & op1(e11, e11) = v5 & op1(e11, e10) = v4 &
% 55.04/8.58 op1(e10, e13) = v3 & op1(e10, e12) = v2 & op1(e10, e11) = v1 & op1(e10, e10)
% 55.04/8.58 = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) &
% 55.04/8.58 $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) &
% 55.04/8.58 $i(v0) & (v15 = e13 | v15 = e12 | v15 = e11 | v15 = e10) & (v14 = e13 | v14
% 55.04/8.58 = e12 | v14 = e11 | v14 = e10) & (v13 = e13 | v13 = e12 | v13 = e11 | v13
% 55.04/8.58 = e10) & (v12 = e13 | v12 = e12 | v12 = e11 | v12 = e10) & (v11 = e13 |
% 55.04/8.58 v11 = e12 | v11 = e11 | v11 = e10) & (v10 = e13 | v10 = e12 | v10 = e11 |
% 55.04/8.58 v10 = e10) & (v9 = e13 | v9 = e12 | v9 = e11 | v9 = e10) & (v8 = e13 | v8
% 55.04/8.58 = e12 | v8 = e11 | v8 = e10) & (v7 = e13 | v7 = e12 | v7 = e11 | v7 = e10)
% 55.04/8.58 & (v6 = e13 | v6 = e12 | v6 = e11 | v6 = e10) & (v5 = e13 | v5 = e12 | v5 =
% 55.04/8.58 e11 | v5 = e10) & (v4 = e13 | v4 = e12 | v4 = e11 | v4 = e10) & (v3 = e13
% 55.04/8.58 | v3 = e12 | v3 = e11 | v3 = e10) & (v2 = e13 | v2 = e12 | v2 = e11 | v2 =
% 55.04/8.58 e10) & (v1 = e13 | v1 = e12 | v1 = e11 | v1 = e10) & (v0 = e13 | v0 = e12
% 55.04/8.58 | v0 = e11 | v0 = e10))
% 55.04/8.58
% 55.04/8.58 (ax10)
% 55.53/8.60 $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 55.53/8.60 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 55.53/8.60 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 55.53/8.60 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ?
% 55.53/8.60 [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ?
% 55.53/8.60 [v23: $i] : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ?
% 55.53/8.60 [v28: $i] : ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : (op1(v30, e13) = v31
% 55.53/8.60 & op1(v28, e12) = v29 & op1(v26, e11) = v27 & op1(v24, e10) = v25 & op1(v22,
% 55.53/8.60 e13) = v23 & op1(v20, e12) = v21 & op1(v18, e11) = v19 & op1(v16, e10) =
% 55.53/8.60 v17 & op1(v14, e13) = v15 & op1(v12, e12) = v13 & op1(v10, e11) = v11 &
% 55.53/8.60 op1(v8, e10) = v9 & op1(v6, e13) = v7 & op1(v4, e12) = v5 & op1(v2, e11) =
% 55.53/8.60 v3 & op1(v0, e10) = v1 & op1(e13, e13) = v30 & op1(e13, e12) = v22 &
% 55.53/8.60 op1(e13, e11) = v14 & op1(e13, e10) = v6 & op1(e12, e13) = v28 & op1(e12,
% 55.53/8.60 e12) = v20 & op1(e12, e11) = v12 & op1(e12, e10) = v4 & op1(e11, e13) =
% 55.53/8.60 v26 & op1(e11, e12) = v18 & op1(e11, e11) = v10 & op1(e11, e10) = v2 &
% 55.53/8.60 op1(e10, e13) = v24 & op1(e10, e12) = v16 & op1(e10, e11) = v8 & op1(e10,
% 55.53/8.60 e10) = v0 & $i(v31) & $i(v30) & $i(v29) & $i(v28) & $i(v27) & $i(v26) &
% 55.53/8.60 $i(v25) & $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19) &
% 55.53/8.60 $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) &
% 55.53/8.60 $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 55.53/8.60 $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v31 = v30 | v29 = v28 | v27 = v26 | v25
% 55.53/8.60 = v24) & (v23 = v22 | v21 = v20 | v19 = v18 | v17 = v16) & (v15 = v14 |
% 55.53/8.60 v13 = v12 | v11 = v10 | v9 = v8) & (v7 = v6 | v5 = v4 | v3 = v2 | v1 = v0)
% 55.53/8.60 & ((v30 = e12 & v22 = e13 & ~ (v28 = e13) & ~ (v20 = e12) & ~ (v12 = e11)
% 55.53/8.60 & ~ (v4 = e10)) | (v30 = e11 & v14 = e13 & ~ (v26 = e13) & ~ (v18 =
% 55.53/8.60 e12) & ~ (v10 = e11) & ~ (v2 = e10)) | (v30 = e10 & v6 = e13 & ~
% 55.53/8.60 (v24 = e13) & ~ (v16 = e12) & ~ (v8 = e11) & ~ (v0 = e10)) | (v28 =
% 55.53/8.60 e12 & v20 = e13 & ~ (v30 = e13) & ~ (v22 = e12) & ~ (v14 = e11) & ~
% 55.53/8.60 (v6 = e10)) | (v26 = e11 & v10 = e13 & ~ (v30 = e13) & ~ (v22 = e12) &
% 55.53/8.61 ~ (v14 = e11) & ~ (v6 = e10)) | (v24 = e10 & v0 = e13 & ~ (v30 = e13)
% 55.53/8.61 & ~ (v22 = e12) & ~ (v14 = e11) & ~ (v6 = e10)) | (v20 = e11 & v12 =
% 55.53/8.61 e12 & ~ (v26 = e13) & ~ (v18 = e12) & ~ (v10 = e11) & ~ (v2 = e10))
% 55.53/8.61 | (v20 = e10 & v4 = e12 & ~ (v24 = e13) & ~ (v16 = e12) & ~ (v8 = e11)
% 55.53/8.61 & ~ (v0 = e10)) | (v18 = e11 & v10 = e12 & ~ (v28 = e13) & ~ (v20 =
% 55.53/8.61 e12) & ~ (v12 = e11) & ~ (v4 = e10)) | (v16 = e10 & v0 = e12 & ~
% 55.53/8.61 (v28 = e13) & ~ (v20 = e12) & ~ (v12 = e11) & ~ (v4 = e10)) | (v10 =
% 55.53/8.61 e10 & v2 = e11 & ~ (v24 = e13) & ~ (v16 = e12) & ~ (v8 = e11) & ~
% 55.53/8.61 (v0 = e10)) | (v8 = e10 & v0 = e11 & ~ (v26 = e13) & ~ (v18 = e12) &
% 55.53/8.61 ~ (v10 = e11) & ~ (v2 = e10))))
% 55.53/8.61
% 55.53/8.61 (ax11)
% 55.53/8.63 $i(e23) & $i(e22) & $i(e21) & $i(e20) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 55.53/8.63 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 55.53/8.63 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 55.53/8.63 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ?
% 55.53/8.63 [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ?
% 55.53/8.63 [v23: $i] : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ?
% 55.53/8.63 [v28: $i] : ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : (op2(v30, e23) = v31
% 55.53/8.63 & op2(v28, e22) = v29 & op2(v26, e21) = v27 & op2(v24, e20) = v25 & op2(v22,
% 55.53/8.63 e23) = v23 & op2(v20, e22) = v21 & op2(v18, e21) = v19 & op2(v16, e20) =
% 55.53/8.63 v17 & op2(v14, e23) = v15 & op2(v12, e22) = v13 & op2(v10, e21) = v11 &
% 55.53/8.63 op2(v8, e20) = v9 & op2(v6, e23) = v7 & op2(v4, e22) = v5 & op2(v2, e21) =
% 55.53/8.63 v3 & op2(v0, e20) = v1 & op2(e23, e23) = v30 & op2(e23, e22) = v22 &
% 55.53/8.63 op2(e23, e21) = v14 & op2(e23, e20) = v6 & op2(e22, e23) = v28 & op2(e22,
% 55.53/8.63 e22) = v20 & op2(e22, e21) = v12 & op2(e22, e20) = v4 & op2(e21, e23) =
% 55.53/8.63 v26 & op2(e21, e22) = v18 & op2(e21, e21) = v10 & op2(e21, e20) = v2 &
% 55.53/8.63 op2(e20, e23) = v24 & op2(e20, e22) = v16 & op2(e20, e21) = v8 & op2(e20,
% 55.53/8.63 e20) = v0 & $i(v31) & $i(v30) & $i(v29) & $i(v28) & $i(v27) & $i(v26) &
% 55.53/8.63 $i(v25) & $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19) &
% 55.53/8.63 $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) &
% 55.53/8.63 $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 55.53/8.63 $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v31 = v30 | v29 = v28 | v27 = v26 | v25
% 55.53/8.63 = v24) & (v23 = v22 | v21 = v20 | v19 = v18 | v17 = v16) & (v15 = v14 |
% 55.53/8.63 v13 = v12 | v11 = v10 | v9 = v8) & (v7 = v6 | v5 = v4 | v3 = v2 | v1 = v0)
% 55.53/8.63 & ((v30 = e22 & v22 = e23 & ~ (v28 = e23) & ~ (v20 = e22) & ~ (v12 = e21)
% 55.53/8.63 & ~ (v4 = e20)) | (v30 = e21 & v14 = e23 & ~ (v26 = e23) & ~ (v18 =
% 55.53/8.63 e22) & ~ (v10 = e21) & ~ (v2 = e20)) | (v30 = e20 & v6 = e23 & ~
% 55.53/8.63 (v24 = e23) & ~ (v16 = e22) & ~ (v8 = e21) & ~ (v0 = e20)) | (v28 =
% 55.53/8.63 e22 & v20 = e23 & ~ (v30 = e23) & ~ (v22 = e22) & ~ (v14 = e21) & ~
% 55.53/8.63 (v6 = e20)) | (v26 = e21 & v10 = e23 & ~ (v30 = e23) & ~ (v22 = e22) &
% 55.53/8.63 ~ (v14 = e21) & ~ (v6 = e20)) | (v24 = e20 & v0 = e23 & ~ (v30 = e23)
% 55.53/8.63 & ~ (v22 = e22) & ~ (v14 = e21) & ~ (v6 = e20)) | (v20 = e21 & v12 =
% 55.53/8.63 e22 & ~ (v26 = e23) & ~ (v18 = e22) & ~ (v10 = e21) & ~ (v2 = e20))
% 55.53/8.63 | (v20 = e20 & v4 = e22 & ~ (v24 = e23) & ~ (v16 = e22) & ~ (v8 = e21)
% 55.53/8.63 & ~ (v0 = e20)) | (v18 = e21 & v10 = e22 & ~ (v28 = e23) & ~ (v20 =
% 55.53/8.63 e22) & ~ (v12 = e21) & ~ (v4 = e20)) | (v16 = e20 & v0 = e22 & ~
% 55.53/8.63 (v28 = e23) & ~ (v20 = e22) & ~ (v12 = e21) & ~ (v4 = e20)) | (v10 =
% 55.53/8.63 e20 & v2 = e21 & ~ (v24 = e23) & ~ (v16 = e22) & ~ (v8 = e21) & ~
% 55.53/8.63 (v0 = e20)) | (v8 = e20 & v0 = e21 & ~ (v26 = e23) & ~ (v18 = e22) &
% 55.53/8.63 ~ (v10 = e21) & ~ (v2 = e20))))
% 55.53/8.63
% 55.53/8.63 (ax12)
% 55.53/8.63 op1(e13, e13) = e10 & op1(e10, e13) = e12 & op1(e10, e10) = e11 & $i(e13) &
% 55.53/8.63 $i(e12) & $i(e11) & $i(e10)
% 55.53/8.63
% 55.53/8.63 (ax13)
% 55.53/8.63 op2(e23, e23) = e20 & op2(e20, e23) = e22 & op2(e20, e20) = e21 & $i(e23) &
% 55.53/8.63 $i(e22) & $i(e21) & $i(e20)
% 55.53/8.63
% 55.53/8.63 (ax14)
% 55.53/8.63 $i(e20) & $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] :
% 55.53/8.63 ? [v2: $i] : (h1(e13) = e20 & h1(e12) = v2 & h1(e11) = v1 & h1(e10) = v0 &
% 55.53/8.63 op2(v0, v0) = v1 & op2(v0, e20) = v2 & op2(e20, e20) = v0 & $i(v2) & $i(v1)
% 55.53/8.63 & $i(v0))
% 55.53/8.63
% 55.53/8.63 (ax15)
% 55.53/8.63 $i(e21) & $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] :
% 55.53/8.63 ? [v2: $i] : (h2(e13) = e21 & h2(e12) = v2 & h2(e11) = v1 & h2(e10) = v0 &
% 55.53/8.63 op2(v0, v0) = v1 & op2(v0, e21) = v2 & op2(e21, e21) = v0 & $i(v2) & $i(v1)
% 55.53/8.63 & $i(v0))
% 55.53/8.63
% 55.53/8.63 (ax16)
% 55.53/8.63 $i(e22) & $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] :
% 55.53/8.63 ? [v2: $i] : (h3(e13) = e22 & h3(e12) = v2 & h3(e11) = v1 & h3(e10) = v0 &
% 55.53/8.63 op2(v0, v0) = v1 & op2(v0, e22) = v2 & op2(e22, e22) = v0 & $i(v2) & $i(v1)
% 55.53/8.63 & $i(v0))
% 55.53/8.63
% 55.53/8.63 (ax17)
% 55.53/8.64 $i(e23) & $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] :
% 55.53/8.64 ? [v2: $i] : (h4(e13) = e23 & h4(e12) = v2 & h4(e11) = v1 & h4(e10) = v0 &
% 55.53/8.64 op2(v0, v0) = v1 & op2(v0, e23) = v2 & op2(e23, e23) = v0 & $i(v2) & $i(v1)
% 55.53/8.64 & $i(v0))
% 55.53/8.64
% 55.53/8.64 (ax2)
% 55.53/8.64 $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 55.53/8.64 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 55.53/8.64 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 55.53/8.64 [v13: $i] : ? [v14: $i] : ? [v15: $i] : (op1(e13, e13) = v15 & op1(e13, e12)
% 55.53/8.64 = v14 & op1(e13, e11) = v11 & op1(e13, e10) = v6 & op1(e12, e13) = v13 &
% 55.53/8.64 op1(e12, e12) = v12 & op1(e12, e11) = v10 & op1(e12, e10) = v5 & op1(e11,
% 55.53/8.64 e13) = v9 & op1(e11, e12) = v8 & op1(e11, e11) = v7 & op1(e11, e10) = v4 &
% 55.53/8.64 op1(e10, e13) = v3 & op1(e10, e12) = v2 & op1(e10, e11) = v1 & op1(e10, e10)
% 55.53/8.64 = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) &
% 55.53/8.64 $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) &
% 55.53/8.65 $i(v0) & (v15 = e13 | v14 = e13 | v11 = e13 | v6 = e13) & (v15 = e13 | v13 =
% 55.53/8.65 e13 | v9 = e13 | v3 = e13) & (v15 = e12 | v14 = e12 | v11 = e12 | v6 =
% 55.53/8.65 e12) & (v15 = e12 | v13 = e12 | v9 = e12 | v3 = e12) & (v15 = e11 | v14 =
% 55.53/8.65 e11 | v11 = e11 | v6 = e11) & (v15 = e11 | v13 = e11 | v9 = e11 | v3 =
% 55.53/8.65 e11) & (v15 = e10 | v14 = e10 | v11 = e10 | v6 = e10) & (v15 = e10 | v13 =
% 55.53/8.65 e10 | v9 = e10 | v3 = e10) & (v14 = e13 | v12 = e13 | v8 = e13 | v2 = e13)
% 55.53/8.65 & (v14 = e12 | v12 = e12 | v8 = e12 | v2 = e12) & (v14 = e11 | v12 = e11 |
% 55.53/8.65 v8 = e11 | v2 = e11) & (v14 = e10 | v12 = e10 | v8 = e10 | v2 = e10) &
% 55.53/8.65 (v13 = e13 | v12 = e13 | v10 = e13 | v5 = e13) & (v13 = e12 | v12 = e12 |
% 55.53/8.65 v10 = e12 | v5 = e12) & (v13 = e11 | v12 = e11 | v10 = e11 | v5 = e11) &
% 55.53/8.65 (v13 = e10 | v12 = e10 | v10 = e10 | v5 = e10) & (v11 = e13 | v10 = e13 | v7
% 55.53/8.65 = e13 | v1 = e13) & (v11 = e12 | v10 = e12 | v7 = e12 | v1 = e12) & (v11 =
% 55.53/8.65 e11 | v10 = e11 | v7 = e11 | v1 = e11) & (v11 = e10 | v10 = e10 | v7 = e10
% 55.53/8.65 | v1 = e10) & (v9 = e13 | v8 = e13 | v7 = e13 | v4 = e13) & (v9 = e12 | v8
% 55.53/8.65 = e12 | v7 = e12 | v4 = e12) & (v9 = e11 | v8 = e11 | v7 = e11 | v4 = e11)
% 55.53/8.65 & (v9 = e10 | v8 = e10 | v7 = e10 | v4 = e10) & (v6 = e13 | v5 = e13 | v4 =
% 55.53/8.65 e13 | v0 = e13) & (v6 = e12 | v5 = e12 | v4 = e12 | v0 = e12) & (v6 = e11
% 55.53/8.65 | v5 = e11 | v4 = e11 | v0 = e11) & (v3 = e13 | v2 = e13 | v1 = e13 | v0 =
% 55.53/8.65 e13) & (v3 = e12 | v2 = e12 | v1 = e12 | v0 = e12) & (v3 = e11 | v2 = e11
% 55.53/8.65 | v1 = e11 | v0 = e11) & (v0 = e10 | ((v6 = e10 | v5 = e10 | v4 = e10) &
% 55.53/8.65 (v3 = e10 | v2 = e10 | v1 = e10))))
% 55.53/8.65
% 55.53/8.65 (ax3)
% 55.53/8.65 $i(e23) & $i(e22) & $i(e21) & $i(e20) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 55.53/8.65 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 55.53/8.65 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 55.53/8.65 [v13: $i] : ? [v14: $i] : ? [v15: $i] : (op2(e23, e23) = v15 & op2(e23, e22)
% 55.53/8.65 = v14 & op2(e23, e21) = v13 & op2(e23, e20) = v12 & op2(e22, e23) = v11 &
% 55.53/8.65 op2(e22, e22) = v10 & op2(e22, e21) = v9 & op2(e22, e20) = v8 & op2(e21,
% 55.53/8.65 e23) = v7 & op2(e21, e22) = v6 & op2(e21, e21) = v5 & op2(e21, e20) = v4 &
% 55.53/8.65 op2(e20, e23) = v3 & op2(e20, e22) = v2 & op2(e20, e21) = v1 & op2(e20, e20)
% 55.53/8.65 = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) &
% 55.53/8.65 $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) &
% 55.53/8.65 $i(v0) & (v15 = e23 | v15 = e22 | v15 = e21 | v15 = e20) & (v14 = e23 | v14
% 55.53/8.65 = e22 | v14 = e21 | v14 = e20) & (v13 = e23 | v13 = e22 | v13 = e21 | v13
% 55.53/8.65 = e20) & (v12 = e23 | v12 = e22 | v12 = e21 | v12 = e20) & (v11 = e23 |
% 55.53/8.65 v11 = e22 | v11 = e21 | v11 = e20) & (v10 = e23 | v10 = e22 | v10 = e21 |
% 55.53/8.65 v10 = e20) & (v9 = e23 | v9 = e22 | v9 = e21 | v9 = e20) & (v8 = e23 | v8
% 55.53/8.65 = e22 | v8 = e21 | v8 = e20) & (v7 = e23 | v7 = e22 | v7 = e21 | v7 = e20)
% 55.53/8.65 & (v6 = e23 | v6 = e22 | v6 = e21 | v6 = e20) & (v5 = e23 | v5 = e22 | v5 =
% 55.53/8.65 e21 | v5 = e20) & (v4 = e23 | v4 = e22 | v4 = e21 | v4 = e20) & (v3 = e23
% 55.53/8.65 | v3 = e22 | v3 = e21 | v3 = e20) & (v2 = e23 | v2 = e22 | v2 = e21 | v2 =
% 55.53/8.65 e20) & (v1 = e23 | v1 = e22 | v1 = e21 | v1 = e20) & (v0 = e23 | v0 = e22
% 55.53/8.65 | v0 = e21 | v0 = e20))
% 55.53/8.65
% 55.53/8.65 (ax4)
% 55.53/8.66 $i(e23) & $i(e22) & $i(e21) & $i(e20) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 55.53/8.66 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 55.53/8.66 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 55.53/8.66 [v13: $i] : ? [v14: $i] : ? [v15: $i] : (op2(e23, e23) = v15 & op2(e23, e22)
% 55.53/8.66 = v14 & op2(e23, e21) = v11 & op2(e23, e20) = v6 & op2(e22, e23) = v13 &
% 55.53/8.66 op2(e22, e22) = v12 & op2(e22, e21) = v10 & op2(e22, e20) = v5 & op2(e21,
% 55.53/8.66 e23) = v9 & op2(e21, e22) = v8 & op2(e21, e21) = v7 & op2(e21, e20) = v4 &
% 55.53/8.66 op2(e20, e23) = v3 & op2(e20, e22) = v2 & op2(e20, e21) = v1 & op2(e20, e20)
% 55.53/8.66 = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) &
% 55.53/8.66 $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) &
% 55.53/8.66 $i(v0) & (v15 = e23 | v14 = e23 | v11 = e23 | v6 = e23) & (v15 = e23 | v13 =
% 55.53/8.66 e23 | v9 = e23 | v3 = e23) & (v15 = e22 | v14 = e22 | v11 = e22 | v6 =
% 55.53/8.66 e22) & (v15 = e22 | v13 = e22 | v9 = e22 | v3 = e22) & (v15 = e21 | v14 =
% 55.53/8.66 e21 | v11 = e21 | v6 = e21) & (v15 = e21 | v13 = e21 | v9 = e21 | v3 =
% 55.53/8.66 e21) & (v15 = e20 | v14 = e20 | v11 = e20 | v6 = e20) & (v15 = e20 | v13 =
% 55.53/8.66 e20 | v9 = e20 | v3 = e20) & (v14 = e23 | v12 = e23 | v8 = e23 | v2 = e23)
% 55.53/8.66 & (v14 = e22 | v12 = e22 | v8 = e22 | v2 = e22) & (v14 = e21 | v12 = e21 |
% 55.53/8.66 v8 = e21 | v2 = e21) & (v14 = e20 | v12 = e20 | v8 = e20 | v2 = e20) &
% 55.53/8.66 (v13 = e23 | v12 = e23 | v10 = e23 | v5 = e23) & (v13 = e22 | v12 = e22 |
% 55.53/8.66 v10 = e22 | v5 = e22) & (v13 = e21 | v12 = e21 | v10 = e21 | v5 = e21) &
% 55.53/8.66 (v13 = e20 | v12 = e20 | v10 = e20 | v5 = e20) & (v11 = e23 | v10 = e23 | v7
% 55.53/8.66 = e23 | v1 = e23) & (v11 = e22 | v10 = e22 | v7 = e22 | v1 = e22) & (v11 =
% 55.53/8.66 e21 | v10 = e21 | v7 = e21 | v1 = e21) & (v11 = e20 | v10 = e20 | v7 = e20
% 55.53/8.66 | v1 = e20) & (v9 = e23 | v8 = e23 | v7 = e23 | v4 = e23) & (v9 = e22 | v8
% 55.53/8.66 = e22 | v7 = e22 | v4 = e22) & (v9 = e21 | v8 = e21 | v7 = e21 | v4 = e21)
% 55.53/8.66 & (v9 = e20 | v8 = e20 | v7 = e20 | v4 = e20) & (v6 = e23 | v5 = e23 | v4 =
% 55.53/8.66 e23 | v0 = e23) & (v6 = e22 | v5 = e22 | v4 = e22 | v0 = e22) & (v6 = e21
% 55.53/8.66 | v5 = e21 | v4 = e21 | v0 = e21) & (v3 = e23 | v2 = e23 | v1 = e23 | v0 =
% 55.53/8.66 e23) & (v3 = e22 | v2 = e22 | v1 = e22 | v0 = e22) & (v3 = e21 | v2 = e21
% 55.53/8.66 | v1 = e21 | v0 = e21) & (v0 = e20 | ((v6 = e20 | v5 = e20 | v4 = e20) &
% 55.53/8.66 (v3 = e20 | v2 = e20 | v1 = e20))))
% 55.53/8.66
% 55.53/8.66 (ax5)
% 55.53/8.67 $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 55.53/8.67 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 55.53/8.67 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 55.53/8.67 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ( ~ (v15 = v14) & ~ (v15 = v13) &
% 55.53/8.67 ~ (v15 = v12) & ~ (v15 = v11) & ~ (v15 = v7) & ~ (v15 = v3) & ~ (v14 =
% 55.53/8.67 v13) & ~ (v14 = v12) & ~ (v14 = v10) & ~ (v14 = v6) & ~ (v14 = v2) &
% 55.53/8.67 ~ (v13 = v12) & ~ (v13 = v9) & ~ (v13 = v5) & ~ (v13 = v1) & ~ (v12 =
% 55.53/8.67 v8) & ~ (v12 = v4) & ~ (v12 = v0) & ~ (v11 = v10) & ~ (v11 = v9) & ~
% 55.53/8.67 (v11 = v8) & ~ (v11 = v7) & ~ (v11 = v3) & ~ (v10 = v9) & ~ (v10 = v8) &
% 55.53/8.67 ~ (v10 = v6) & ~ (v10 = v2) & ~ (v9 = v8) & ~ (v9 = v5) & ~ (v9 = v1) &
% 55.53/8.67 ~ (v8 = v4) & ~ (v8 = v0) & ~ (v7 = v6) & ~ (v7 = v5) & ~ (v7 = v4) &
% 55.53/8.67 ~ (v7 = v3) & ~ (v6 = v5) & ~ (v6 = v4) & ~ (v6 = v2) & ~ (v5 = v4) & ~
% 55.53/8.67 (v5 = v1) & ~ (v4 = v0) & ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~
% 55.53/8.67 (v2 = v1) & ~ (v2 = v0) & ~ (v1 = v0) & op1(e13, e13) = v15 & op1(e13,
% 55.53/8.67 e12) = v11 & op1(e13, e11) = v7 & op1(e13, e10) = v3 & op1(e12, e13) = v14
% 55.53/8.67 & op1(e12, e12) = v10 & op1(e12, e11) = v6 & op1(e12, e10) = v2 & op1(e11,
% 55.53/8.67 e13) = v13 & op1(e11, e12) = v9 & op1(e11, e11) = v5 & op1(e11, e10) = v1
% 55.53/8.67 & op1(e10, e13) = v12 & op1(e10, e12) = v8 & op1(e10, e11) = v4 & op1(e10,
% 55.53/8.67 e10) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) &
% 55.53/8.67 $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) &
% 55.53/8.67 $i(v1) & $i(v0))
% 55.53/8.67
% 55.53/8.67 (ax6)
% 55.53/8.67 $i(e23) & $i(e22) & $i(e21) & $i(e20) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 55.53/8.67 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 55.53/8.67 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 55.53/8.67 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ( ~ (v15 = v14) & ~ (v15 = v13) &
% 55.53/8.67 ~ (v15 = v12) & ~ (v15 = v11) & ~ (v15 = v7) & ~ (v15 = v3) & ~ (v14 =
% 55.53/8.67 v13) & ~ (v14 = v12) & ~ (v14 = v10) & ~ (v14 = v6) & ~ (v14 = v2) &
% 55.53/8.67 ~ (v13 = v12) & ~ (v13 = v9) & ~ (v13 = v5) & ~ (v13 = v1) & ~ (v12 =
% 55.53/8.67 v8) & ~ (v12 = v4) & ~ (v12 = v0) & ~ (v11 = v10) & ~ (v11 = v9) & ~
% 55.53/8.67 (v11 = v8) & ~ (v11 = v7) & ~ (v11 = v3) & ~ (v10 = v9) & ~ (v10 = v8) &
% 55.53/8.67 ~ (v10 = v6) & ~ (v10 = v2) & ~ (v9 = v8) & ~ (v9 = v5) & ~ (v9 = v1) &
% 55.53/8.67 ~ (v8 = v4) & ~ (v8 = v0) & ~ (v7 = v6) & ~ (v7 = v5) & ~ (v7 = v4) &
% 55.53/8.67 ~ (v7 = v3) & ~ (v6 = v5) & ~ (v6 = v4) & ~ (v6 = v2) & ~ (v5 = v4) & ~
% 55.53/8.67 (v5 = v1) & ~ (v4 = v0) & ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~
% 55.53/8.67 (v2 = v1) & ~ (v2 = v0) & ~ (v1 = v0) & op2(e23, e23) = v15 & op2(e23,
% 55.53/8.67 e22) = v11 & op2(e23, e21) = v7 & op2(e23, e20) = v3 & op2(e22, e23) = v14
% 55.53/8.67 & op2(e22, e22) = v10 & op2(e22, e21) = v6 & op2(e22, e20) = v2 & op2(e21,
% 55.53/8.67 e23) = v13 & op2(e21, e22) = v9 & op2(e21, e21) = v5 & op2(e21, e20) = v1
% 55.53/8.67 & op2(e20, e23) = v12 & op2(e20, e22) = v8 & op2(e20, e21) = v4 & op2(e20,
% 55.53/8.67 e20) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) &
% 55.53/8.67 $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) &
% 55.53/8.67 $i(v1) & $i(v0))
% 55.53/8.67
% 55.53/8.67 (ax7)
% 55.53/8.67 ~ (e13 = e12) & ~ (e13 = e11) & ~ (e13 = e10) & ~ (e12 = e11) & ~ (e12 =
% 55.53/8.67 e10) & ~ (e11 = e10) & $i(e13) & $i(e12) & $i(e11) & $i(e10)
% 55.53/8.67
% 55.53/8.67 (ax8)
% 55.53/8.67 ~ (e23 = e22) & ~ (e23 = e21) & ~ (e23 = e20) & ~ (e22 = e21) & ~ (e22 =
% 55.53/8.67 e20) & ~ (e21 = e20) & $i(e23) & $i(e22) & $i(e21) & $i(e20)
% 55.53/8.67
% 55.53/8.67 (co1)
% 55.90/8.69 $i(e23) & $i(e22) & $i(e21) & $i(e20) & $i(e13) & $i(e12) & $i(e11) & $i(e10)
% 55.90/8.69 & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ?
% 55.90/8.69 [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? [v10:
% 55.90/8.69 $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] : ? [v15:
% 55.90/8.69 $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ? [v19: $i] : ? [v20:
% 55.90/8.69 $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i] : ? [v24: $i] : ? [v25:
% 55.90/8.69 $i] : ? [v26: $i] : ? [v27: $i] : ? [v28: $i] : ? [v29: $i] : ? [v30:
% 55.90/8.69 $i] : ? [v31: $i] : ? [v32: $i] : ? [v33: $i] : ? [v34: $i] : ? [v35:
% 55.90/8.69 $i] : ? [v36: $i] : ? [v37: $i] : ? [v38: $i] : ? [v39: $i] : ? [v40:
% 55.90/8.69 $i] : ? [v41: $i] : ? [v42: $i] : ? [v43: $i] : ? [v44: $i] : ? [v45:
% 55.90/8.69 $i] : ? [v46: $i] : ? [v47: $i] : ? [v48: $i] : ? [v49: $i] : ? [v50:
% 55.90/8.69 $i] : ? [v51: $i] : ? [v52: $i] : ? [v53: $i] : ? [v54: $i] : ? [v55:
% 55.90/8.69 $i] : ? [v56: $i] : ? [v57: $i] : ? [v58: $i] : ? [v59: $i] : ? [v60:
% 55.90/8.69 $i] : ? [v61: $i] : ? [v62: $i] : ? [v63: $i] : ? [v64: $i] : ? [v65:
% 55.90/8.69 $i] : ? [v66: $i] : ? [v67: $i] : ? [v68: $i] : ? [v69: $i] : ? [v70:
% 55.90/8.69 $i] : ? [v71: $i] : ? [v72: $i] : ? [v73: $i] : ? [v74: $i] : ? [v75:
% 55.90/8.69 $i] : ? [v76: $i] : ? [v77: $i] : ? [v78: $i] : ? [v79: $i] : ? [v80:
% 55.90/8.69 $i] : ? [v81: $i] : ? [v82: $i] : ? [v83: $i] : ? [v84: $i] : ? [v85:
% 55.90/8.69 $i] : ? [v86: $i] : ? [v87: $i] : ? [v88: $i] : ? [v89: $i] : ? [v90:
% 55.90/8.69 $i] : ? [v91: $i] : ? [v92: $i] : ? [v93: $i] : ? [v94: $i] : ? [v95:
% 55.90/8.69 $i] : ? [v96: $i] : ? [v97: $i] : ? [v98: $i] : ? [v99: $i] : ? [v100:
% 55.90/8.69 $i] : ? [v101: $i] : ? [v102: $i] : ? [v103: $i] : ? [v104: $i] : ?
% 55.90/8.69 [v105: $i] : ? [v106: $i] : ? [v107: $i] : ? [v108: $i] : ? [v109: $i] :
% 55.90/8.69 ? [v110: $i] : ? [v111: $i] : ? [v112: $i] : ? [v113: $i] : ? [v114: $i] :
% 55.90/8.69 ? [v115: $i] : ? [v116: $i] : ? [v117: $i] : ? [v118: $i] : ? [v119: $i]
% 55.90/8.69 : ? [v120: $i] : ? [v121: $i] : ? [v122: $i] : ? [v123: $i] : ? [v124:
% 55.90/8.69 $i] : ? [v125: $i] : ? [v126: $i] : ? [v127: $i] : ? [v128: $i] : ?
% 55.90/8.69 [v129: $i] : ? [v130: $i] : ? [v131: $i] : ? [v132: $i] : ? [v133: $i] :
% 55.90/8.69 ? [v134: $i] : ? [v135: $i] : ? [v136: $i] : ? [v137: $i] : ? [v138: $i] :
% 55.90/8.69 ? [v139: $i] : ? [v140: $i] : ? [v141: $i] : ? [v142: $i] : ? [v143: $i]
% 55.90/8.69 : ? [v144: $i] : ? [v145: $i] : ? [v146: $i] : ? [v147: $i] : ? [v148:
% 55.90/8.69 $i] : ? [v149: $i] : ? [v150: $i] : ? [v151: $i] : ? [v152: $i] : ?
% 55.90/8.69 [v153: $i] : ? [v154: $i] : ? [v155: $i] : ? [v156: $i] : ? [v157: $i] :
% 55.90/8.69 ? [v158: $i] : ? [v159: $i] : (h4(v49) = v158 & h4(v46) = v156 & h4(v43) =
% 55.90/8.69 v154 & h4(v40) = v152 & h4(v37) = v150 & h4(v34) = v148 & h4(v31) = v146 &
% 55.90/8.69 h4(v28) = v144 & h4(v25) = v142 & h4(v22) = v140 & h4(v19) = v138 & h4(v16)
% 55.90/8.69 = v136 & h4(v12) = v133 & h4(v8) = v130 & h4(v4) = v127 & h4(v0) = v124 &
% 55.90/8.69 h4(e13) = v134 & h4(e12) = v131 & h4(e11) = v128 & h4(e10) = v125 & h3(v49)
% 55.90/8.69 = v122 & h3(v46) = v120 & h3(v43) = v118 & h3(v40) = v116 & h3(v37) = v114 &
% 55.90/8.69 h3(v34) = v112 & h3(v31) = v110 & h3(v28) = v108 & h3(v25) = v106 & h3(v22)
% 55.90/8.69 = v104 & h3(v19) = v102 & h3(v16) = v100 & h3(v12) = v97 & h3(v8) = v94 &
% 55.90/8.69 h3(v4) = v91 & h3(v0) = v88 & h3(e13) = v98 & h3(e12) = v95 & h3(e11) = v92
% 55.90/8.69 & h3(e10) = v89 & h2(v49) = v86 & h2(v46) = v84 & h2(v43) = v82 & h2(v40) =
% 55.90/8.69 v80 & h2(v37) = v78 & h2(v34) = v76 & h2(v31) = v74 & h2(v28) = v72 &
% 55.90/8.70 h2(v25) = v70 & h2(v22) = v68 & h2(v19) = v66 & h2(v16) = v64 & h2(v12) =
% 55.90/8.70 v61 & h2(v8) = v58 & h2(v4) = v55 & h2(v0) = v52 & h2(e13) = v62 & h2(e12) =
% 55.90/8.70 v59 & h2(e11) = v56 & h2(e10) = v53 & h1(v49) = v50 & h1(v46) = v47 &
% 55.90/8.70 h1(v43) = v44 & h1(v40) = v41 & h1(v37) = v38 & h1(v34) = v35 & h1(v31) =
% 55.90/8.70 v32 & h1(v28) = v29 & h1(v25) = v26 & h1(v22) = v23 & h1(v19) = v20 &
% 55.90/8.70 h1(v16) = v17 & h1(v12) = v13 & h1(v8) = v9 & h1(v4) = v5 & h1(v0) = v1 &
% 55.90/8.70 h1(e13) = v14 & h1(e12) = v10 & h1(e11) = v6 & h1(e10) = v2 & op2(v134,
% 55.90/8.70 v134) = v159 & op2(v134, v131) = v157 & op2(v134, v128) = v155 & op2(v134,
% 55.90/8.70 v125) = v153 & op2(v131, v134) = v151 & op2(v131, v131) = v149 & op2(v131,
% 55.90/8.70 v128) = v147 & op2(v131, v125) = v145 & op2(v128, v134) = v143 & op2(v128,
% 55.90/8.70 v131) = v141 & op2(v128, v128) = v139 & op2(v128, v125) = v137 & op2(v125,
% 55.90/8.70 v134) = v135 & op2(v125, v131) = v132 & op2(v125, v128) = v129 & op2(v125,
% 55.90/8.70 v125) = v126 & op2(v98, v98) = v123 & op2(v98, v95) = v121 & op2(v98, v92)
% 55.90/8.70 = v119 & op2(v98, v89) = v117 & op2(v95, v98) = v115 & op2(v95, v95) = v113
% 55.90/8.70 & op2(v95, v92) = v111 & op2(v95, v89) = v109 & op2(v92, v98) = v107 &
% 55.90/8.70 op2(v92, v95) = v105 & op2(v92, v92) = v103 & op2(v92, v89) = v101 &
% 55.90/8.70 op2(v89, v98) = v99 & op2(v89, v95) = v96 & op2(v89, v92) = v93 & op2(v89,
% 55.90/8.70 v89) = v90 & op2(v62, v62) = v87 & op2(v62, v59) = v85 & op2(v62, v56) =
% 55.90/8.70 v83 & op2(v62, v53) = v81 & op2(v59, v62) = v79 & op2(v59, v59) = v77 &
% 55.90/8.70 op2(v59, v56) = v75 & op2(v59, v53) = v73 & op2(v56, v62) = v71 & op2(v56,
% 55.90/8.70 v59) = v69 & op2(v56, v56) = v67 & op2(v56, v53) = v65 & op2(v53, v62) =
% 55.90/8.70 v63 & op2(v53, v59) = v60 & op2(v53, v56) = v57 & op2(v53, v53) = v54 &
% 55.90/8.70 op2(v14, v14) = v51 & op2(v14, v10) = v48 & op2(v14, v6) = v45 & op2(v14,
% 55.90/8.70 v2) = v42 & op2(v10, v14) = v39 & op2(v10, v10) = v36 & op2(v10, v6) = v33
% 55.90/8.70 & op2(v10, v2) = v30 & op2(v6, v14) = v27 & op2(v6, v10) = v24 & op2(v6, v6)
% 55.90/8.70 = v21 & op2(v6, v2) = v18 & op2(v2, v14) = v15 & op2(v2, v10) = v11 &
% 55.90/8.70 op2(v2, v6) = v7 & op2(v2, v2) = v3 & op1(e13, e13) = v49 & op1(e13, e12) =
% 55.90/8.70 v46 & op1(e13, e11) = v43 & op1(e13, e10) = v40 & op1(e12, e13) = v37 &
% 55.90/8.70 op1(e12, e12) = v34 & op1(e12, e11) = v31 & op1(e12, e10) = v28 & op1(e11,
% 55.90/8.70 e13) = v25 & op1(e11, e12) = v22 & op1(e11, e11) = v19 & op1(e11, e10) =
% 55.90/8.70 v16 & op1(e10, e13) = v12 & op1(e10, e12) = v8 & op1(e10, e11) = v4 &
% 55.90/8.70 op1(e10, e10) = v0 & $i(v159) & $i(v158) & $i(v157) & $i(v156) & $i(v155) &
% 55.90/8.70 $i(v154) & $i(v153) & $i(v152) & $i(v151) & $i(v150) & $i(v149) & $i(v148) &
% 55.90/8.70 $i(v147) & $i(v146) & $i(v145) & $i(v144) & $i(v143) & $i(v142) & $i(v141) &
% 55.90/8.70 $i(v140) & $i(v139) & $i(v138) & $i(v137) & $i(v136) & $i(v135) & $i(v134) &
% 55.90/8.70 $i(v133) & $i(v132) & $i(v131) & $i(v130) & $i(v129) & $i(v128) & $i(v127) &
% 55.90/8.70 $i(v126) & $i(v125) & $i(v124) & $i(v123) & $i(v122) & $i(v121) & $i(v120) &
% 55.90/8.70 $i(v119) & $i(v118) & $i(v117) & $i(v116) & $i(v115) & $i(v114) & $i(v113) &
% 55.90/8.70 $i(v112) & $i(v111) & $i(v110) & $i(v109) & $i(v108) & $i(v107) & $i(v106) &
% 55.90/8.70 $i(v105) & $i(v104) & $i(v103) & $i(v102) & $i(v101) & $i(v100) & $i(v99) &
% 55.90/8.70 $i(v98) & $i(v97) & $i(v96) & $i(v95) & $i(v94) & $i(v93) & $i(v92) &
% 55.90/8.70 $i(v91) & $i(v90) & $i(v89) & $i(v88) & $i(v87) & $i(v86) & $i(v85) &
% 55.90/8.70 $i(v84) & $i(v83) & $i(v82) & $i(v81) & $i(v80) & $i(v79) & $i(v78) &
% 55.90/8.70 $i(v77) & $i(v76) & $i(v75) & $i(v74) & $i(v73) & $i(v72) & $i(v71) &
% 55.90/8.70 $i(v70) & $i(v69) & $i(v68) & $i(v67) & $i(v66) & $i(v65) & $i(v64) &
% 55.90/8.70 $i(v63) & $i(v62) & $i(v61) & $i(v60) & $i(v59) & $i(v58) & $i(v57) &
% 55.90/8.70 $i(v56) & $i(v55) & $i(v54) & $i(v53) & $i(v52) & $i(v51) & $i(v50) &
% 55.90/8.70 $i(v49) & $i(v48) & $i(v47) & $i(v46) & $i(v45) & $i(v44) & $i(v43) &
% 55.90/8.70 $i(v42) & $i(v41) & $i(v40) & $i(v39) & $i(v38) & $i(v37) & $i(v36) &
% 55.90/8.70 $i(v35) & $i(v34) & $i(v33) & $i(v32) & $i(v31) & $i(v30) & $i(v29) &
% 55.90/8.70 $i(v28) & $i(v27) & $i(v26) & $i(v25) & $i(v24) & $i(v23) & $i(v22) &
% 55.90/8.70 $i(v21) & $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) &
% 55.90/8.70 $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) &
% 55.90/8.70 $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ( ~ (v159 =
% 55.90/8.70 v158) | ~ (v157 = v156) | ~ (v155 = v154) | ~ (v153 = v152) | ~
% 55.90/8.70 (v151 = v150) | ~ (v149 = v148) | ~ (v147 = v146) | ~ (v145 = v144) |
% 55.90/8.70 ~ (v143 = v142) | ~ (v141 = v140) | ~ (v139 = v138) | ~ (v137 = v136) |
% 55.90/8.70 ~ (v135 = v133) | ~ (v132 = v130) | ~ (v129 = v127) | ~ (v126 = v124)
% 55.90/8.70 | ( ~ (v134 = e23) & ~ (v131 = e23) & ~ (v128 = e23) & ~ (v125 = e23))
% 55.90/8.70 | ( ~ (v134 = e22) & ~ (v131 = e22) & ~ (v128 = e22) & ~ (v125 = e22))
% 55.90/8.70 | ( ~ (v134 = e21) & ~ (v131 = e21) & ~ (v128 = e21) & ~ (v125 = e21))
% 55.90/8.70 | ( ~ (v134 = e20) & ~ (v131 = e20) & ~ (v128 = e20) & ~ (v125 = e20)))
% 55.90/8.70 & ( ~ (v123 = v122) | ~ (v121 = v120) | ~ (v119 = v118) | ~ (v117 = v116)
% 55.90/8.70 | ~ (v115 = v114) | ~ (v113 = v112) | ~ (v111 = v110) | ~ (v109 =
% 55.90/8.70 v108) | ~ (v107 = v106) | ~ (v105 = v104) | ~ (v103 = v102) | ~
% 55.90/8.70 (v101 = v100) | ~ (v99 = v97) | ~ (v96 = v94) | ~ (v93 = v91) | ~ (v90
% 55.90/8.70 = v88) | ( ~ (v98 = e23) & ~ (v95 = e23) & ~ (v92 = e23) & ~ (v89 =
% 55.90/8.70 e23)) | ( ~ (v98 = e22) & ~ (v95 = e22) & ~ (v92 = e22) & ~ (v89 =
% 55.90/8.70 e22)) | ( ~ (v98 = e21) & ~ (v95 = e21) & ~ (v92 = e21) & ~ (v89 =
% 55.90/8.70 e21)) | ( ~ (v98 = e20) & ~ (v95 = e20) & ~ (v92 = e20) & ~ (v89 =
% 55.90/8.70 e20))) & ( ~ (v87 = v86) | ~ (v85 = v84) | ~ (v83 = v82) | ~ (v81 =
% 55.90/8.70 v80) | ~ (v79 = v78) | ~ (v77 = v76) | ~ (v75 = v74) | ~ (v73 = v72)
% 55.90/8.70 | ~ (v71 = v70) | ~ (v69 = v68) | ~ (v67 = v66) | ~ (v65 = v64) | ~
% 55.90/8.70 (v63 = v61) | ~ (v60 = v58) | ~ (v57 = v55) | ~ (v54 = v52) | ( ~ (v62
% 55.90/8.70 = e23) & ~ (v59 = e23) & ~ (v56 = e23) & ~ (v53 = e23)) | ( ~ (v62
% 55.90/8.70 = e22) & ~ (v59 = e22) & ~ (v56 = e22) & ~ (v53 = e22)) | ( ~ (v62
% 55.90/8.70 = e21) & ~ (v59 = e21) & ~ (v56 = e21) & ~ (v53 = e21)) | ( ~ (v62
% 55.90/8.70 = e20) & ~ (v59 = e20) & ~ (v56 = e20) & ~ (v53 = e20))) & ( ~ (v51
% 55.90/8.70 = v50) | ~ (v48 = v47) | ~ (v45 = v44) | ~ (v42 = v41) | ~ (v39 =
% 55.90/8.70 v38) | ~ (v36 = v35) | ~ (v33 = v32) | ~ (v30 = v29) | ~ (v27 = v26)
% 55.90/8.70 | ~ (v24 = v23) | ~ (v21 = v20) | ~ (v18 = v17) | ~ (v15 = v13) | ~
% 55.90/8.70 (v11 = v9) | ~ (v7 = v5) | ~ (v3 = v1) | ( ~ (v14 = e23) & ~ (v10 =
% 55.90/8.70 e23) & ~ (v6 = e23) & ~ (v2 = e23)) | ( ~ (v14 = e22) & ~ (v10 =
% 55.90/8.70 e22) & ~ (v6 = e22) & ~ (v2 = e22)) | ( ~ (v14 = e21) & ~ (v10 =
% 55.90/8.70 e21) & ~ (v6 = e21) & ~ (v2 = e21)) | ( ~ (v14 = e20) & ~ (v10 =
% 55.90/8.70 e20) & ~ (v6 = e20) & ~ (v2 = e20))))
% 55.90/8.70
% 55.90/8.70 (function-axioms)
% 55.90/8.70 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (op2(v3,
% 55.90/8.70 v2) = v1) | ~ (op2(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 55.90/8.70 $i] : ! [v3: $i] : (v1 = v0 | ~ (op1(v3, v2) = v1) | ~ (op1(v3, v2) =
% 55.90/8.70 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h4(v2) =
% 55.90/8.70 v1) | ~ (h4(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 =
% 55.90/8.70 v0 | ~ (h3(v2) = v1) | ~ (h3(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 55.90/8.70 [v2: $i] : (v1 = v0 | ~ (h2(v2) = v1) | ~ (h2(v2) = v0)) & ! [v0: $i] : !
% 55.90/8.70 [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h1(v2) = v1) | ~ (h1(v2) = v0))
% 55.90/8.70
% 55.90/8.70 Further assumptions not needed in the proof:
% 55.90/8.70 --------------------------------------------
% 55.90/8.70 ax9
% 55.90/8.70
% 55.90/8.70 Those formulas are unsatisfiable:
% 55.90/8.70 ---------------------------------
% 55.90/8.70
% 55.90/8.70 Begin of proof
% 55.90/8.70 |
% 55.90/8.70 | ALPHA: (ax1) implies:
% 55.90/8.71 | (1) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 55.90/8.71 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 55.90/8.71 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 55.90/8.71 | ? [v15: $i] : (op1(e13, e13) = v15 & op1(e13, e12) = v14 & op1(e13,
% 55.90/8.71 | e11) = v13 & op1(e13, e10) = v12 & op1(e12, e13) = v11 & op1(e12,
% 55.90/8.71 | e12) = v10 & op1(e12, e11) = v9 & op1(e12, e10) = v8 & op1(e11,
% 55.90/8.71 | e13) = v7 & op1(e11, e12) = v6 & op1(e11, e11) = v5 & op1(e11, e10)
% 55.90/8.71 | = v4 & op1(e10, e13) = v3 & op1(e10, e12) = v2 & op1(e10, e11) = v1 &
% 55.90/8.71 | op1(e10, e10) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11)
% 55.90/8.71 | & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 55.90/8.71 | $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v15 = e13 | v15 = e12 | v15 =
% 55.90/8.71 | e11 | v15 = e10) & (v14 = e13 | v14 = e12 | v14 = e11 | v14 = e10)
% 55.90/8.71 | & (v13 = e13 | v13 = e12 | v13 = e11 | v13 = e10) & (v12 = e13 | v12
% 55.90/8.71 | = e12 | v12 = e11 | v12 = e10) & (v11 = e13 | v11 = e12 | v11 = e11
% 55.90/8.71 | | v11 = e10) & (v10 = e13 | v10 = e12 | v10 = e11 | v10 = e10) &
% 55.90/8.71 | (v9 = e13 | v9 = e12 | v9 = e11 | v9 = e10) & (v8 = e13 | v8 = e12 |
% 55.90/8.71 | v8 = e11 | v8 = e10) & (v7 = e13 | v7 = e12 | v7 = e11 | v7 = e10)
% 55.90/8.71 | & (v6 = e13 | v6 = e12 | v6 = e11 | v6 = e10) & (v5 = e13 | v5 = e12
% 55.90/8.71 | | v5 = e11 | v5 = e10) & (v4 = e13 | v4 = e12 | v4 = e11 | v4 =
% 55.90/8.71 | e10) & (v3 = e13 | v3 = e12 | v3 = e11 | v3 = e10) & (v2 = e13 | v2
% 55.90/8.71 | = e12 | v2 = e11 | v2 = e10) & (v1 = e13 | v1 = e12 | v1 = e11 | v1
% 55.90/8.71 | = e10) & (v0 = e13 | v0 = e12 | v0 = e11 | v0 = e10))
% 55.90/8.71 |
% 55.90/8.71 | ALPHA: (ax2) implies:
% 55.90/8.72 | (2) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 55.90/8.72 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 55.90/8.72 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 55.90/8.72 | ? [v15: $i] : (op1(e13, e13) = v15 & op1(e13, e12) = v14 & op1(e13,
% 55.90/8.72 | e11) = v11 & op1(e13, e10) = v6 & op1(e12, e13) = v13 & op1(e12,
% 55.90/8.72 | e12) = v12 & op1(e12, e11) = v10 & op1(e12, e10) = v5 & op1(e11,
% 55.90/8.72 | e13) = v9 & op1(e11, e12) = v8 & op1(e11, e11) = v7 & op1(e11, e10)
% 55.90/8.72 | = v4 & op1(e10, e13) = v3 & op1(e10, e12) = v2 & op1(e10, e11) = v1 &
% 55.90/8.72 | op1(e10, e10) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11)
% 55.90/8.72 | & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 55.90/8.72 | $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v15 = e13 | v14 = e13 | v11 =
% 55.90/8.72 | e13 | v6 = e13) & (v15 = e13 | v13 = e13 | v9 = e13 | v3 = e13) &
% 55.90/8.72 | (v15 = e12 | v14 = e12 | v11 = e12 | v6 = e12) & (v15 = e12 | v13 =
% 55.90/8.72 | e12 | v9 = e12 | v3 = e12) & (v15 = e11 | v14 = e11 | v11 = e11 |
% 55.90/8.72 | v6 = e11) & (v15 = e11 | v13 = e11 | v9 = e11 | v3 = e11) & (v15 =
% 55.90/8.72 | e10 | v14 = e10 | v11 = e10 | v6 = e10) & (v15 = e10 | v13 = e10 |
% 55.90/8.72 | v9 = e10 | v3 = e10) & (v14 = e13 | v12 = e13 | v8 = e13 | v2 =
% 55.90/8.72 | e13) & (v14 = e12 | v12 = e12 | v8 = e12 | v2 = e12) & (v14 = e11 |
% 55.90/8.72 | v12 = e11 | v8 = e11 | v2 = e11) & (v14 = e10 | v12 = e10 | v8 =
% 55.90/8.72 | e10 | v2 = e10) & (v13 = e13 | v12 = e13 | v10 = e13 | v5 = e13) &
% 55.90/8.72 | (v13 = e12 | v12 = e12 | v10 = e12 | v5 = e12) & (v13 = e11 | v12 =
% 55.90/8.72 | e11 | v10 = e11 | v5 = e11) & (v13 = e10 | v12 = e10 | v10 = e10 |
% 55.90/8.72 | v5 = e10) & (v11 = e13 | v10 = e13 | v7 = e13 | v1 = e13) & (v11 =
% 55.90/8.72 | e12 | v10 = e12 | v7 = e12 | v1 = e12) & (v11 = e11 | v10 = e11 |
% 55.90/8.72 | v7 = e11 | v1 = e11) & (v11 = e10 | v10 = e10 | v7 = e10 | v1 =
% 55.90/8.72 | e10) & (v9 = e13 | v8 = e13 | v7 = e13 | v4 = e13) & (v9 = e12 | v8
% 55.90/8.72 | = e12 | v7 = e12 | v4 = e12) & (v9 = e11 | v8 = e11 | v7 = e11 | v4
% 55.90/8.72 | = e11) & (v9 = e10 | v8 = e10 | v7 = e10 | v4 = e10) & (v6 = e13 |
% 55.90/8.72 | v5 = e13 | v4 = e13 | v0 = e13) & (v6 = e12 | v5 = e12 | v4 = e12 |
% 55.90/8.72 | v0 = e12) & (v6 = e11 | v5 = e11 | v4 = e11 | v0 = e11) & (v3 = e13
% 55.90/8.72 | | v2 = e13 | v1 = e13 | v0 = e13) & (v3 = e12 | v2 = e12 | v1 = e12
% 55.90/8.72 | | v0 = e12) & (v3 = e11 | v2 = e11 | v1 = e11 | v0 = e11) & (v0 =
% 55.90/8.72 | e10 | ((v6 = e10 | v5 = e10 | v4 = e10) & (v3 = e10 | v2 = e10 | v1
% 55.90/8.72 | = e10))))
% 55.90/8.72 |
% 55.90/8.72 | ALPHA: (ax3) implies:
% 55.90/8.72 | (3) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 55.90/8.72 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 55.90/8.72 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 55.90/8.72 | ? [v15: $i] : (op2(e23, e23) = v15 & op2(e23, e22) = v14 & op2(e23,
% 55.90/8.72 | e21) = v13 & op2(e23, e20) = v12 & op2(e22, e23) = v11 & op2(e22,
% 55.90/8.72 | e22) = v10 & op2(e22, e21) = v9 & op2(e22, e20) = v8 & op2(e21,
% 55.90/8.72 | e23) = v7 & op2(e21, e22) = v6 & op2(e21, e21) = v5 & op2(e21, e20)
% 55.90/8.72 | = v4 & op2(e20, e23) = v3 & op2(e20, e22) = v2 & op2(e20, e21) = v1 &
% 55.90/8.72 | op2(e20, e20) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11)
% 55.90/8.72 | & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 55.90/8.72 | $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v15 = e23 | v15 = e22 | v15 =
% 55.90/8.72 | e21 | v15 = e20) & (v14 = e23 | v14 = e22 | v14 = e21 | v14 = e20)
% 55.90/8.72 | & (v13 = e23 | v13 = e22 | v13 = e21 | v13 = e20) & (v12 = e23 | v12
% 55.90/8.72 | = e22 | v12 = e21 | v12 = e20) & (v11 = e23 | v11 = e22 | v11 = e21
% 55.90/8.72 | | v11 = e20) & (v10 = e23 | v10 = e22 | v10 = e21 | v10 = e20) &
% 55.90/8.72 | (v9 = e23 | v9 = e22 | v9 = e21 | v9 = e20) & (v8 = e23 | v8 = e22 |
% 55.90/8.72 | v8 = e21 | v8 = e20) & (v7 = e23 | v7 = e22 | v7 = e21 | v7 = e20)
% 55.90/8.72 | & (v6 = e23 | v6 = e22 | v6 = e21 | v6 = e20) & (v5 = e23 | v5 = e22
% 55.90/8.72 | | v5 = e21 | v5 = e20) & (v4 = e23 | v4 = e22 | v4 = e21 | v4 =
% 55.90/8.72 | e20) & (v3 = e23 | v3 = e22 | v3 = e21 | v3 = e20) & (v2 = e23 | v2
% 55.90/8.72 | = e22 | v2 = e21 | v2 = e20) & (v1 = e23 | v1 = e22 | v1 = e21 | v1
% 55.90/8.72 | = e20) & (v0 = e23 | v0 = e22 | v0 = e21 | v0 = e20))
% 55.90/8.72 |
% 55.90/8.72 | ALPHA: (ax4) implies:
% 55.90/8.73 | (4) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 55.90/8.73 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 55.90/8.73 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 55.90/8.73 | ? [v15: $i] : (op2(e23, e23) = v15 & op2(e23, e22) = v14 & op2(e23,
% 55.90/8.73 | e21) = v11 & op2(e23, e20) = v6 & op2(e22, e23) = v13 & op2(e22,
% 55.90/8.73 | e22) = v12 & op2(e22, e21) = v10 & op2(e22, e20) = v5 & op2(e21,
% 55.90/8.73 | e23) = v9 & op2(e21, e22) = v8 & op2(e21, e21) = v7 & op2(e21, e20)
% 55.90/8.73 | = v4 & op2(e20, e23) = v3 & op2(e20, e22) = v2 & op2(e20, e21) = v1 &
% 55.90/8.73 | op2(e20, e20) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11)
% 55.90/8.73 | & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 55.90/8.73 | $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v15 = e23 | v14 = e23 | v11 =
% 55.90/8.73 | e23 | v6 = e23) & (v15 = e23 | v13 = e23 | v9 = e23 | v3 = e23) &
% 55.90/8.73 | (v15 = e22 | v14 = e22 | v11 = e22 | v6 = e22) & (v15 = e22 | v13 =
% 55.90/8.73 | e22 | v9 = e22 | v3 = e22) & (v15 = e21 | v14 = e21 | v11 = e21 |
% 55.90/8.73 | v6 = e21) & (v15 = e21 | v13 = e21 | v9 = e21 | v3 = e21) & (v15 =
% 55.90/8.73 | e20 | v14 = e20 | v11 = e20 | v6 = e20) & (v15 = e20 | v13 = e20 |
% 55.90/8.73 | v9 = e20 | v3 = e20) & (v14 = e23 | v12 = e23 | v8 = e23 | v2 =
% 55.90/8.73 | e23) & (v14 = e22 | v12 = e22 | v8 = e22 | v2 = e22) & (v14 = e21 |
% 55.90/8.73 | v12 = e21 | v8 = e21 | v2 = e21) & (v14 = e20 | v12 = e20 | v8 =
% 55.90/8.73 | e20 | v2 = e20) & (v13 = e23 | v12 = e23 | v10 = e23 | v5 = e23) &
% 55.90/8.73 | (v13 = e22 | v12 = e22 | v10 = e22 | v5 = e22) & (v13 = e21 | v12 =
% 55.90/8.73 | e21 | v10 = e21 | v5 = e21) & (v13 = e20 | v12 = e20 | v10 = e20 |
% 55.90/8.73 | v5 = e20) & (v11 = e23 | v10 = e23 | v7 = e23 | v1 = e23) & (v11 =
% 55.90/8.73 | e22 | v10 = e22 | v7 = e22 | v1 = e22) & (v11 = e21 | v10 = e21 |
% 55.90/8.73 | v7 = e21 | v1 = e21) & (v11 = e20 | v10 = e20 | v7 = e20 | v1 =
% 55.90/8.73 | e20) & (v9 = e23 | v8 = e23 | v7 = e23 | v4 = e23) & (v9 = e22 | v8
% 55.90/8.73 | = e22 | v7 = e22 | v4 = e22) & (v9 = e21 | v8 = e21 | v7 = e21 | v4
% 55.90/8.73 | = e21) & (v9 = e20 | v8 = e20 | v7 = e20 | v4 = e20) & (v6 = e23 |
% 55.90/8.73 | v5 = e23 | v4 = e23 | v0 = e23) & (v6 = e22 | v5 = e22 | v4 = e22 |
% 55.90/8.73 | v0 = e22) & (v6 = e21 | v5 = e21 | v4 = e21 | v0 = e21) & (v3 = e23
% 55.90/8.73 | | v2 = e23 | v1 = e23 | v0 = e23) & (v3 = e22 | v2 = e22 | v1 = e22
% 55.90/8.73 | | v0 = e22) & (v3 = e21 | v2 = e21 | v1 = e21 | v0 = e21) & (v0 =
% 55.90/8.73 | e20 | ((v6 = e20 | v5 = e20 | v4 = e20) & (v3 = e20 | v2 = e20 | v1
% 55.90/8.73 | = e20))))
% 55.90/8.73 |
% 55.90/8.73 | ALPHA: (ax5) implies:
% 55.90/8.73 | (5) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 55.90/8.73 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 55.90/8.73 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 55.90/8.73 | ? [v15: $i] : ( ~ (v15 = v14) & ~ (v15 = v13) & ~ (v15 = v12) & ~
% 55.90/8.73 | (v15 = v11) & ~ (v15 = v7) & ~ (v15 = v3) & ~ (v14 = v13) & ~
% 55.90/8.73 | (v14 = v12) & ~ (v14 = v10) & ~ (v14 = v6) & ~ (v14 = v2) & ~
% 55.90/8.73 | (v13 = v12) & ~ (v13 = v9) & ~ (v13 = v5) & ~ (v13 = v1) & ~ (v12
% 55.90/8.73 | = v8) & ~ (v12 = v4) & ~ (v12 = v0) & ~ (v11 = v10) & ~ (v11 =
% 55.90/8.73 | v9) & ~ (v11 = v8) & ~ (v11 = v7) & ~ (v11 = v3) & ~ (v10 = v9)
% 55.90/8.73 | & ~ (v10 = v8) & ~ (v10 = v6) & ~ (v10 = v2) & ~ (v9 = v8) & ~
% 55.90/8.73 | (v9 = v5) & ~ (v9 = v1) & ~ (v8 = v4) & ~ (v8 = v0) & ~ (v7 = v6)
% 55.90/8.73 | & ~ (v7 = v5) & ~ (v7 = v4) & ~ (v7 = v3) & ~ (v6 = v5) & ~ (v6
% 55.90/8.73 | = v4) & ~ (v6 = v2) & ~ (v5 = v4) & ~ (v5 = v1) & ~ (v4 = v0) &
% 55.90/8.73 | ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~ (v2 = v1) & ~ (v2 =
% 55.90/8.73 | v0) & ~ (v1 = v0) & op1(e13, e13) = v15 & op1(e13, e12) = v11 &
% 55.90/8.73 | op1(e13, e11) = v7 & op1(e13, e10) = v3 & op1(e12, e13) = v14 &
% 55.90/8.73 | op1(e12, e12) = v10 & op1(e12, e11) = v6 & op1(e12, e10) = v2 &
% 55.90/8.73 | op1(e11, e13) = v13 & op1(e11, e12) = v9 & op1(e11, e11) = v5 &
% 55.90/8.73 | op1(e11, e10) = v1 & op1(e10, e13) = v12 & op1(e10, e12) = v8 &
% 55.90/8.73 | op1(e10, e11) = v4 & op1(e10, e10) = v0 & $i(v15) & $i(v14) & $i(v13)
% 55.90/8.73 | & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) &
% 55.90/8.73 | $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 55.90/8.73 |
% 55.90/8.73 | ALPHA: (ax6) implies:
% 55.90/8.74 | (6) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 55.90/8.74 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 55.90/8.74 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 55.90/8.74 | ? [v15: $i] : ( ~ (v15 = v14) & ~ (v15 = v13) & ~ (v15 = v12) & ~
% 55.90/8.74 | (v15 = v11) & ~ (v15 = v7) & ~ (v15 = v3) & ~ (v14 = v13) & ~
% 55.90/8.74 | (v14 = v12) & ~ (v14 = v10) & ~ (v14 = v6) & ~ (v14 = v2) & ~
% 55.90/8.74 | (v13 = v12) & ~ (v13 = v9) & ~ (v13 = v5) & ~ (v13 = v1) & ~ (v12
% 55.90/8.74 | = v8) & ~ (v12 = v4) & ~ (v12 = v0) & ~ (v11 = v10) & ~ (v11 =
% 55.90/8.74 | v9) & ~ (v11 = v8) & ~ (v11 = v7) & ~ (v11 = v3) & ~ (v10 = v9)
% 55.90/8.74 | & ~ (v10 = v8) & ~ (v10 = v6) & ~ (v10 = v2) & ~ (v9 = v8) & ~
% 55.90/8.74 | (v9 = v5) & ~ (v9 = v1) & ~ (v8 = v4) & ~ (v8 = v0) & ~ (v7 = v6)
% 55.90/8.74 | & ~ (v7 = v5) & ~ (v7 = v4) & ~ (v7 = v3) & ~ (v6 = v5) & ~ (v6
% 55.90/8.74 | = v4) & ~ (v6 = v2) & ~ (v5 = v4) & ~ (v5 = v1) & ~ (v4 = v0) &
% 55.90/8.74 | ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~ (v2 = v1) & ~ (v2 =
% 55.90/8.74 | v0) & ~ (v1 = v0) & op2(e23, e23) = v15 & op2(e23, e22) = v11 &
% 55.90/8.74 | op2(e23, e21) = v7 & op2(e23, e20) = v3 & op2(e22, e23) = v14 &
% 55.90/8.74 | op2(e22, e22) = v10 & op2(e22, e21) = v6 & op2(e22, e20) = v2 &
% 55.90/8.74 | op2(e21, e23) = v13 & op2(e21, e22) = v9 & op2(e21, e21) = v5 &
% 55.90/8.74 | op2(e21, e20) = v1 & op2(e20, e23) = v12 & op2(e20, e22) = v8 &
% 55.90/8.74 | op2(e20, e21) = v4 & op2(e20, e20) = v0 & $i(v15) & $i(v14) & $i(v13)
% 55.90/8.74 | & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) &
% 55.90/8.74 | $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 55.90/8.74 |
% 55.90/8.74 | ALPHA: (ax7) implies:
% 55.90/8.74 | (7) ~ (e11 = e10)
% 55.90/8.74 | (8) ~ (e13 = e11)
% 55.90/8.74 |
% 55.90/8.74 | ALPHA: (ax8) implies:
% 55.90/8.74 | (9) ~ (e23 = e21)
% 55.90/8.74 | (10) ~ (e23 = e22)
% 55.90/8.74 |
% 55.90/8.74 | ALPHA: (ax10) implies:
% 55.90/8.74 | (11) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 55.90/8.74 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 55.90/8.74 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14:
% 55.90/8.74 | $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ?
% 55.90/8.74 | [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i]
% 55.90/8.74 | : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ? [v28:
% 55.90/8.74 | $i] : ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : (op1(v30, e13) =
% 55.90/8.74 | v31 & op1(v28, e12) = v29 & op1(v26, e11) = v27 & op1(v24, e10) =
% 55.90/8.74 | v25 & op1(v22, e13) = v23 & op1(v20, e12) = v21 & op1(v18, e11) =
% 55.90/8.74 | v19 & op1(v16, e10) = v17 & op1(v14, e13) = v15 & op1(v12, e12) =
% 55.90/8.74 | v13 & op1(v10, e11) = v11 & op1(v8, e10) = v9 & op1(v6, e13) = v7 &
% 55.90/8.74 | op1(v4, e12) = v5 & op1(v2, e11) = v3 & op1(v0, e10) = v1 & op1(e13,
% 55.90/8.74 | e13) = v30 & op1(e13, e12) = v22 & op1(e13, e11) = v14 & op1(e13,
% 55.90/8.74 | e10) = v6 & op1(e12, e13) = v28 & op1(e12, e12) = v20 & op1(e12,
% 55.90/8.74 | e11) = v12 & op1(e12, e10) = v4 & op1(e11, e13) = v26 & op1(e11,
% 55.90/8.74 | e12) = v18 & op1(e11, e11) = v10 & op1(e11, e10) = v2 & op1(e10,
% 55.90/8.74 | e13) = v24 & op1(e10, e12) = v16 & op1(e10, e11) = v8 & op1(e10,
% 55.90/8.74 | e10) = v0 & $i(v31) & $i(v30) & $i(v29) & $i(v28) & $i(v27) &
% 55.90/8.74 | $i(v26) & $i(v25) & $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20)
% 55.90/8.74 | & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) &
% 55.90/8.74 | $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) &
% 55.90/8.74 | $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v31
% 55.90/8.74 | = v30 | v29 = v28 | v27 = v26 | v25 = v24) & (v23 = v22 | v21 =
% 55.90/8.74 | v20 | v19 = v18 | v17 = v16) & (v15 = v14 | v13 = v12 | v11 = v10
% 55.90/8.74 | | v9 = v8) & (v7 = v6 | v5 = v4 | v3 = v2 | v1 = v0) & ((v30 = e12
% 55.90/8.75 | & v22 = e13 & ~ (v28 = e13) & ~ (v20 = e12) & ~ (v12 = e11) &
% 55.90/8.75 | ~ (v4 = e10)) | (v30 = e11 & v14 = e13 & ~ (v26 = e13) & ~
% 55.90/8.75 | (v18 = e12) & ~ (v10 = e11) & ~ (v2 = e10)) | (v30 = e10 & v6
% 55.90/8.75 | = e13 & ~ (v24 = e13) & ~ (v16 = e12) & ~ (v8 = e11) & ~ (v0
% 55.90/8.75 | = e10)) | (v28 = e12 & v20 = e13 & ~ (v30 = e13) & ~ (v22 =
% 55.90/8.75 | e12) & ~ (v14 = e11) & ~ (v6 = e10)) | (v26 = e11 & v10 =
% 55.90/8.75 | e13 & ~ (v30 = e13) & ~ (v22 = e12) & ~ (v14 = e11) & ~ (v6
% 55.90/8.75 | = e10)) | (v24 = e10 & v0 = e13 & ~ (v30 = e13) & ~ (v22 =
% 55.90/8.75 | e12) & ~ (v14 = e11) & ~ (v6 = e10)) | (v20 = e11 & v12 =
% 55.90/8.75 | e12 & ~ (v26 = e13) & ~ (v18 = e12) & ~ (v10 = e11) & ~ (v2
% 55.90/8.75 | = e10)) | (v20 = e10 & v4 = e12 & ~ (v24 = e13) & ~ (v16 =
% 55.90/8.75 | e12) & ~ (v8 = e11) & ~ (v0 = e10)) | (v18 = e11 & v10 = e12
% 55.90/8.75 | & ~ (v28 = e13) & ~ (v20 = e12) & ~ (v12 = e11) & ~ (v4 =
% 55.90/8.75 | e10)) | (v16 = e10 & v0 = e12 & ~ (v28 = e13) & ~ (v20 =
% 55.90/8.75 | e12) & ~ (v12 = e11) & ~ (v4 = e10)) | (v10 = e10 & v2 = e11
% 55.90/8.75 | & ~ (v24 = e13) & ~ (v16 = e12) & ~ (v8 = e11) & ~ (v0 =
% 55.90/8.75 | e10)) | (v8 = e10 & v0 = e11 & ~ (v26 = e13) & ~ (v18 = e12)
% 55.90/8.75 | & ~ (v10 = e11) & ~ (v2 = e10))))
% 55.90/8.75 |
% 55.90/8.75 | ALPHA: (ax11) implies:
% 55.90/8.75 | (12) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 55.90/8.75 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 55.90/8.75 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14:
% 55.90/8.75 | $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ?
% 55.90/8.75 | [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i]
% 55.90/8.75 | : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ? [v28:
% 55.90/8.75 | $i] : ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : (op2(v30, e23) =
% 55.90/8.75 | v31 & op2(v28, e22) = v29 & op2(v26, e21) = v27 & op2(v24, e20) =
% 55.90/8.75 | v25 & op2(v22, e23) = v23 & op2(v20, e22) = v21 & op2(v18, e21) =
% 55.90/8.75 | v19 & op2(v16, e20) = v17 & op2(v14, e23) = v15 & op2(v12, e22) =
% 55.90/8.75 | v13 & op2(v10, e21) = v11 & op2(v8, e20) = v9 & op2(v6, e23) = v7 &
% 55.90/8.75 | op2(v4, e22) = v5 & op2(v2, e21) = v3 & op2(v0, e20) = v1 & op2(e23,
% 55.90/8.75 | e23) = v30 & op2(e23, e22) = v22 & op2(e23, e21) = v14 & op2(e23,
% 55.90/8.75 | e20) = v6 & op2(e22, e23) = v28 & op2(e22, e22) = v20 & op2(e22,
% 55.90/8.75 | e21) = v12 & op2(e22, e20) = v4 & op2(e21, e23) = v26 & op2(e21,
% 55.90/8.75 | e22) = v18 & op2(e21, e21) = v10 & op2(e21, e20) = v2 & op2(e20,
% 55.90/8.75 | e23) = v24 & op2(e20, e22) = v16 & op2(e20, e21) = v8 & op2(e20,
% 55.90/8.75 | e20) = v0 & $i(v31) & $i(v30) & $i(v29) & $i(v28) & $i(v27) &
% 55.90/8.75 | $i(v26) & $i(v25) & $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20)
% 55.90/8.75 | & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) &
% 55.90/8.75 | $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) &
% 55.90/8.75 | $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v31
% 55.90/8.75 | = v30 | v29 = v28 | v27 = v26 | v25 = v24) & (v23 = v22 | v21 =
% 55.90/8.75 | v20 | v19 = v18 | v17 = v16) & (v15 = v14 | v13 = v12 | v11 = v10
% 55.90/8.75 | | v9 = v8) & (v7 = v6 | v5 = v4 | v3 = v2 | v1 = v0) & ((v30 = e22
% 55.90/8.75 | & v22 = e23 & ~ (v28 = e23) & ~ (v20 = e22) & ~ (v12 = e21) &
% 55.90/8.75 | ~ (v4 = e20)) | (v30 = e21 & v14 = e23 & ~ (v26 = e23) & ~
% 55.90/8.75 | (v18 = e22) & ~ (v10 = e21) & ~ (v2 = e20)) | (v30 = e20 & v6
% 55.90/8.75 | = e23 & ~ (v24 = e23) & ~ (v16 = e22) & ~ (v8 = e21) & ~ (v0
% 55.90/8.75 | = e20)) | (v28 = e22 & v20 = e23 & ~ (v30 = e23) & ~ (v22 =
% 55.90/8.75 | e22) & ~ (v14 = e21) & ~ (v6 = e20)) | (v26 = e21 & v10 =
% 55.90/8.75 | e23 & ~ (v30 = e23) & ~ (v22 = e22) & ~ (v14 = e21) & ~ (v6
% 55.90/8.75 | = e20)) | (v24 = e20 & v0 = e23 & ~ (v30 = e23) & ~ (v22 =
% 55.90/8.75 | e22) & ~ (v14 = e21) & ~ (v6 = e20)) | (v20 = e21 & v12 =
% 55.90/8.75 | e22 & ~ (v26 = e23) & ~ (v18 = e22) & ~ (v10 = e21) & ~ (v2
% 55.90/8.75 | = e20)) | (v20 = e20 & v4 = e22 & ~ (v24 = e23) & ~ (v16 =
% 55.90/8.75 | e22) & ~ (v8 = e21) & ~ (v0 = e20)) | (v18 = e21 & v10 = e22
% 55.90/8.75 | & ~ (v28 = e23) & ~ (v20 = e22) & ~ (v12 = e21) & ~ (v4 =
% 55.90/8.75 | e20)) | (v16 = e20 & v0 = e22 & ~ (v28 = e23) & ~ (v20 =
% 55.90/8.75 | e22) & ~ (v12 = e21) & ~ (v4 = e20)) | (v10 = e20 & v2 = e21
% 55.90/8.75 | & ~ (v24 = e23) & ~ (v16 = e22) & ~ (v8 = e21) & ~ (v0 =
% 55.90/8.75 | e20)) | (v8 = e20 & v0 = e21 & ~ (v26 = e23) & ~ (v18 = e22)
% 55.90/8.75 | & ~ (v10 = e21) & ~ (v2 = e20))))
% 55.90/8.75 |
% 55.90/8.75 | ALPHA: (ax12) implies:
% 55.90/8.75 | (13) op1(e10, e10) = e11
% 55.90/8.75 | (14) op1(e10, e13) = e12
% 55.90/8.75 | (15) op1(e13, e13) = e10
% 55.90/8.75 |
% 55.90/8.75 | ALPHA: (ax13) implies:
% 55.90/8.75 | (16) op2(e20, e20) = e21
% 55.90/8.75 | (17) op2(e20, e23) = e22
% 55.90/8.75 | (18) op2(e23, e23) = e20
% 55.90/8.75 |
% 55.90/8.75 | ALPHA: (ax14) implies:
% 55.90/8.75 | (19) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (h1(e13) = e20 & h1(e12) =
% 55.90/8.75 | v2 & h1(e11) = v1 & h1(e10) = v0 & op2(v0, v0) = v1 & op2(v0, e20) =
% 55.90/8.75 | v2 & op2(e20, e20) = v0 & $i(v2) & $i(v1) & $i(v0))
% 55.90/8.75 |
% 55.90/8.75 | ALPHA: (ax15) implies:
% 55.90/8.75 | (20) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (h2(e13) = e21 & h2(e12) =
% 55.90/8.75 | v2 & h2(e11) = v1 & h2(e10) = v0 & op2(v0, v0) = v1 & op2(v0, e21) =
% 55.90/8.75 | v2 & op2(e21, e21) = v0 & $i(v2) & $i(v1) & $i(v0))
% 55.90/8.75 |
% 55.90/8.75 | ALPHA: (ax16) implies:
% 55.90/8.75 | (21) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (h3(e13) = e22 & h3(e12) =
% 55.90/8.75 | v2 & h3(e11) = v1 & h3(e10) = v0 & op2(v0, v0) = v1 & op2(v0, e22) =
% 55.90/8.75 | v2 & op2(e22, e22) = v0 & $i(v2) & $i(v1) & $i(v0))
% 55.90/8.75 |
% 55.90/8.75 | ALPHA: (ax17) implies:
% 55.90/8.76 | (22) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (h4(e13) = e23 & h4(e12) =
% 55.90/8.76 | v2 & h4(e11) = v1 & h4(e10) = v0 & op2(v0, v0) = v1 & op2(v0, e23) =
% 55.90/8.76 | v2 & op2(e23, e23) = v0 & $i(v2) & $i(v1) & $i(v0))
% 55.90/8.76 |
% 55.90/8.76 | ALPHA: (co1) implies:
% 55.90/8.77 | (23) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 55.90/8.77 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 55.90/8.77 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14:
% 55.90/8.77 | $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ?
% 55.90/8.77 | [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i]
% 55.90/8.77 | : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ? [v28:
% 55.90/8.77 | $i] : ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : ? [v32: $i] : ?
% 55.90/8.77 | [v33: $i] : ? [v34: $i] : ? [v35: $i] : ? [v36: $i] : ? [v37: $i]
% 55.90/8.77 | : ? [v38: $i] : ? [v39: $i] : ? [v40: $i] : ? [v41: $i] : ? [v42:
% 55.90/8.77 | $i] : ? [v43: $i] : ? [v44: $i] : ? [v45: $i] : ? [v46: $i] : ?
% 55.90/8.77 | [v47: $i] : ? [v48: $i] : ? [v49: $i] : ? [v50: $i] : ? [v51: $i]
% 55.90/8.77 | : ? [v52: $i] : ? [v53: $i] : ? [v54: $i] : ? [v55: $i] : ? [v56:
% 55.90/8.77 | $i] : ? [v57: $i] : ? [v58: $i] : ? [v59: $i] : ? [v60: $i] : ?
% 55.90/8.77 | [v61: $i] : ? [v62: $i] : ? [v63: $i] : ? [v64: $i] : ? [v65: $i]
% 55.90/8.77 | : ? [v66: $i] : ? [v67: $i] : ? [v68: $i] : ? [v69: $i] : ? [v70:
% 55.90/8.77 | $i] : ? [v71: $i] : ? [v72: $i] : ? [v73: $i] : ? [v74: $i] : ?
% 55.90/8.77 | [v75: $i] : ? [v76: $i] : ? [v77: $i] : ? [v78: $i] : ? [v79: $i]
% 55.90/8.77 | : ? [v80: $i] : ? [v81: $i] : ? [v82: $i] : ? [v83: $i] : ? [v84:
% 55.90/8.77 | $i] : ? [v85: $i] : ? [v86: $i] : ? [v87: $i] : ? [v88: $i] : ?
% 55.90/8.77 | [v89: $i] : ? [v90: $i] : ? [v91: $i] : ? [v92: $i] : ? [v93: $i]
% 55.90/8.77 | : ? [v94: $i] : ? [v95: $i] : ? [v96: $i] : ? [v97: $i] : ? [v98:
% 55.90/8.77 | $i] : ? [v99: $i] : ? [v100: $i] : ? [v101: $i] : ? [v102: $i] :
% 55.90/8.77 | ? [v103: $i] : ? [v104: $i] : ? [v105: $i] : ? [v106: $i] : ?
% 55.90/8.77 | [v107: $i] : ? [v108: $i] : ? [v109: $i] : ? [v110: $i] : ? [v111:
% 55.90/8.77 | $i] : ? [v112: $i] : ? [v113: $i] : ? [v114: $i] : ? [v115: $i]
% 55.90/8.77 | : ? [v116: $i] : ? [v117: $i] : ? [v118: $i] : ? [v119: $i] : ?
% 55.90/8.77 | [v120: $i] : ? [v121: $i] : ? [v122: $i] : ? [v123: $i] : ? [v124:
% 55.90/8.77 | $i] : ? [v125: $i] : ? [v126: $i] : ? [v127: $i] : ? [v128: $i]
% 55.90/8.77 | : ? [v129: $i] : ? [v130: $i] : ? [v131: $i] : ? [v132: $i] : ?
% 55.90/8.77 | [v133: $i] : ? [v134: $i] : ? [v135: $i] : ? [v136: $i] : ? [v137:
% 55.90/8.77 | $i] : ? [v138: $i] : ? [v139: $i] : ? [v140: $i] : ? [v141: $i]
% 55.90/8.77 | : ? [v142: $i] : ? [v143: $i] : ? [v144: $i] : ? [v145: $i] : ?
% 55.90/8.77 | [v146: $i] : ? [v147: $i] : ? [v148: $i] : ? [v149: $i] : ? [v150:
% 55.90/8.77 | $i] : ? [v151: $i] : ? [v152: $i] : ? [v153: $i] : ? [v154: $i]
% 55.90/8.77 | : ? [v155: $i] : ? [v156: $i] : ? [v157: $i] : ? [v158: $i] : ?
% 55.90/8.77 | [v159: $i] : (h4(v49) = v158 & h4(v46) = v156 & h4(v43) = v154 &
% 55.90/8.77 | h4(v40) = v152 & h4(v37) = v150 & h4(v34) = v148 & h4(v31) = v146 &
% 55.90/8.77 | h4(v28) = v144 & h4(v25) = v142 & h4(v22) = v140 & h4(v19) = v138 &
% 55.90/8.77 | h4(v16) = v136 & h4(v12) = v133 & h4(v8) = v130 & h4(v4) = v127 &
% 55.90/8.77 | h4(v0) = v124 & h4(e13) = v134 & h4(e12) = v131 & h4(e11) = v128 &
% 55.90/8.77 | h4(e10) = v125 & h3(v49) = v122 & h3(v46) = v120 & h3(v43) = v118 &
% 55.90/8.77 | h3(v40) = v116 & h3(v37) = v114 & h3(v34) = v112 & h3(v31) = v110 &
% 55.90/8.77 | h3(v28) = v108 & h3(v25) = v106 & h3(v22) = v104 & h3(v19) = v102 &
% 55.90/8.77 | h3(v16) = v100 & h3(v12) = v97 & h3(v8) = v94 & h3(v4) = v91 &
% 55.90/8.77 | h3(v0) = v88 & h3(e13) = v98 & h3(e12) = v95 & h3(e11) = v92 &
% 55.90/8.77 | h3(e10) = v89 & h2(v49) = v86 & h2(v46) = v84 & h2(v43) = v82 &
% 55.90/8.77 | h2(v40) = v80 & h2(v37) = v78 & h2(v34) = v76 & h2(v31) = v74 &
% 55.90/8.77 | h2(v28) = v72 & h2(v25) = v70 & h2(v22) = v68 & h2(v19) = v66 &
% 55.90/8.77 | h2(v16) = v64 & h2(v12) = v61 & h2(v8) = v58 & h2(v4) = v55 & h2(v0)
% 55.90/8.77 | = v52 & h2(e13) = v62 & h2(e12) = v59 & h2(e11) = v56 & h2(e10) =
% 55.90/8.77 | v53 & h1(v49) = v50 & h1(v46) = v47 & h1(v43) = v44 & h1(v40) = v41
% 55.90/8.77 | & h1(v37) = v38 & h1(v34) = v35 & h1(v31) = v32 & h1(v28) = v29 &
% 55.90/8.77 | h1(v25) = v26 & h1(v22) = v23 & h1(v19) = v20 & h1(v16) = v17 &
% 55.90/8.77 | h1(v12) = v13 & h1(v8) = v9 & h1(v4) = v5 & h1(v0) = v1 & h1(e13) =
% 55.90/8.77 | v14 & h1(e12) = v10 & h1(e11) = v6 & h1(e10) = v2 & op2(v134, v134)
% 55.90/8.77 | = v159 & op2(v134, v131) = v157 & op2(v134, v128) = v155 & op2(v134,
% 55.90/8.77 | v125) = v153 & op2(v131, v134) = v151 & op2(v131, v131) = v149 &
% 55.90/8.77 | op2(v131, v128) = v147 & op2(v131, v125) = v145 & op2(v128, v134) =
% 55.90/8.77 | v143 & op2(v128, v131) = v141 & op2(v128, v128) = v139 & op2(v128,
% 55.90/8.77 | v125) = v137 & op2(v125, v134) = v135 & op2(v125, v131) = v132 &
% 55.90/8.77 | op2(v125, v128) = v129 & op2(v125, v125) = v126 & op2(v98, v98) =
% 55.90/8.77 | v123 & op2(v98, v95) = v121 & op2(v98, v92) = v119 & op2(v98, v89) =
% 55.90/8.77 | v117 & op2(v95, v98) = v115 & op2(v95, v95) = v113 & op2(v95, v92) =
% 55.90/8.77 | v111 & op2(v95, v89) = v109 & op2(v92, v98) = v107 & op2(v92, v95) =
% 55.90/8.77 | v105 & op2(v92, v92) = v103 & op2(v92, v89) = v101 & op2(v89, v98) =
% 55.90/8.77 | v99 & op2(v89, v95) = v96 & op2(v89, v92) = v93 & op2(v89, v89) =
% 55.90/8.77 | v90 & op2(v62, v62) = v87 & op2(v62, v59) = v85 & op2(v62, v56) =
% 55.90/8.77 | v83 & op2(v62, v53) = v81 & op2(v59, v62) = v79 & op2(v59, v59) =
% 55.90/8.77 | v77 & op2(v59, v56) = v75 & op2(v59, v53) = v73 & op2(v56, v62) =
% 55.90/8.77 | v71 & op2(v56, v59) = v69 & op2(v56, v56) = v67 & op2(v56, v53) =
% 55.90/8.77 | v65 & op2(v53, v62) = v63 & op2(v53, v59) = v60 & op2(v53, v56) =
% 55.90/8.77 | v57 & op2(v53, v53) = v54 & op2(v14, v14) = v51 & op2(v14, v10) =
% 55.90/8.77 | v48 & op2(v14, v6) = v45 & op2(v14, v2) = v42 & op2(v10, v14) = v39
% 55.90/8.77 | & op2(v10, v10) = v36 & op2(v10, v6) = v33 & op2(v10, v2) = v30 &
% 55.90/8.77 | op2(v6, v14) = v27 & op2(v6, v10) = v24 & op2(v6, v6) = v21 &
% 55.90/8.77 | op2(v6, v2) = v18 & op2(v2, v14) = v15 & op2(v2, v10) = v11 &
% 55.90/8.77 | op2(v2, v6) = v7 & op2(v2, v2) = v3 & op1(e13, e13) = v49 & op1(e13,
% 55.90/8.77 | e12) = v46 & op1(e13, e11) = v43 & op1(e13, e10) = v40 & op1(e12,
% 55.90/8.77 | e13) = v37 & op1(e12, e12) = v34 & op1(e12, e11) = v31 & op1(e12,
% 55.90/8.77 | e10) = v28 & op1(e11, e13) = v25 & op1(e11, e12) = v22 & op1(e11,
% 55.90/8.77 | e11) = v19 & op1(e11, e10) = v16 & op1(e10, e13) = v12 & op1(e10,
% 55.90/8.77 | e12) = v8 & op1(e10, e11) = v4 & op1(e10, e10) = v0 & $i(v159) &
% 55.90/8.77 | $i(v158) & $i(v157) & $i(v156) & $i(v155) & $i(v154) & $i(v153) &
% 55.90/8.77 | $i(v152) & $i(v151) & $i(v150) & $i(v149) & $i(v148) & $i(v147) &
% 55.90/8.77 | $i(v146) & $i(v145) & $i(v144) & $i(v143) & $i(v142) & $i(v141) &
% 55.90/8.77 | $i(v140) & $i(v139) & $i(v138) & $i(v137) & $i(v136) & $i(v135) &
% 55.90/8.77 | $i(v134) & $i(v133) & $i(v132) & $i(v131) & $i(v130) & $i(v129) &
% 55.90/8.77 | $i(v128) & $i(v127) & $i(v126) & $i(v125) & $i(v124) & $i(v123) &
% 55.90/8.77 | $i(v122) & $i(v121) & $i(v120) & $i(v119) & $i(v118) & $i(v117) &
% 55.90/8.77 | $i(v116) & $i(v115) & $i(v114) & $i(v113) & $i(v112) & $i(v111) &
% 55.90/8.77 | $i(v110) & $i(v109) & $i(v108) & $i(v107) & $i(v106) & $i(v105) &
% 55.90/8.77 | $i(v104) & $i(v103) & $i(v102) & $i(v101) & $i(v100) & $i(v99) &
% 55.90/8.77 | $i(v98) & $i(v97) & $i(v96) & $i(v95) & $i(v94) & $i(v93) & $i(v92)
% 55.90/8.77 | & $i(v91) & $i(v90) & $i(v89) & $i(v88) & $i(v87) & $i(v86) &
% 55.90/8.77 | $i(v85) & $i(v84) & $i(v83) & $i(v82) & $i(v81) & $i(v80) & $i(v79)
% 55.90/8.77 | & $i(v78) & $i(v77) & $i(v76) & $i(v75) & $i(v74) & $i(v73) &
% 55.90/8.77 | $i(v72) & $i(v71) & $i(v70) & $i(v69) & $i(v68) & $i(v67) & $i(v66)
% 55.90/8.77 | & $i(v65) & $i(v64) & $i(v63) & $i(v62) & $i(v61) & $i(v60) &
% 55.90/8.77 | $i(v59) & $i(v58) & $i(v57) & $i(v56) & $i(v55) & $i(v54) & $i(v53)
% 55.90/8.77 | & $i(v52) & $i(v51) & $i(v50) & $i(v49) & $i(v48) & $i(v47) &
% 55.90/8.77 | $i(v46) & $i(v45) & $i(v44) & $i(v43) & $i(v42) & $i(v41) & $i(v40)
% 55.90/8.77 | & $i(v39) & $i(v38) & $i(v37) & $i(v36) & $i(v35) & $i(v34) &
% 55.90/8.77 | $i(v33) & $i(v32) & $i(v31) & $i(v30) & $i(v29) & $i(v28) & $i(v27)
% 55.90/8.77 | & $i(v26) & $i(v25) & $i(v24) & $i(v23) & $i(v22) & $i(v21) &
% 55.90/8.77 | $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14)
% 55.90/8.77 | & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) &
% 55.90/8.77 | $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ( ~
% 55.90/8.77 | (v159 = v158) | ~ (v157 = v156) | ~ (v155 = v154) | ~ (v153 =
% 55.90/8.77 | v152) | ~ (v151 = v150) | ~ (v149 = v148) | ~ (v147 = v146) |
% 55.90/8.77 | ~ (v145 = v144) | ~ (v143 = v142) | ~ (v141 = v140) | ~ (v139
% 55.90/8.77 | = v138) | ~ (v137 = v136) | ~ (v135 = v133) | ~ (v132 = v130)
% 55.90/8.77 | | ~ (v129 = v127) | ~ (v126 = v124) | ( ~ (v134 = e23) & ~
% 55.90/8.77 | (v131 = e23) & ~ (v128 = e23) & ~ (v125 = e23)) | ( ~ (v134 =
% 55.90/8.77 | e22) & ~ (v131 = e22) & ~ (v128 = e22) & ~ (v125 = e22)) |
% 55.90/8.77 | ( ~ (v134 = e21) & ~ (v131 = e21) & ~ (v128 = e21) & ~ (v125 =
% 55.90/8.77 | e21)) | ( ~ (v134 = e20) & ~ (v131 = e20) & ~ (v128 = e20) &
% 55.90/8.77 | ~ (v125 = e20))) & ( ~ (v123 = v122) | ~ (v121 = v120) | ~
% 55.90/8.77 | (v119 = v118) | ~ (v117 = v116) | ~ (v115 = v114) | ~ (v113 =
% 55.90/8.77 | v112) | ~ (v111 = v110) | ~ (v109 = v108) | ~ (v107 = v106) |
% 55.90/8.77 | ~ (v105 = v104) | ~ (v103 = v102) | ~ (v101 = v100) | ~ (v99 =
% 55.90/8.77 | v97) | ~ (v96 = v94) | ~ (v93 = v91) | ~ (v90 = v88) | ( ~
% 55.90/8.77 | (v98 = e23) & ~ (v95 = e23) & ~ (v92 = e23) & ~ (v89 = e23))
% 55.90/8.77 | | ( ~ (v98 = e22) & ~ (v95 = e22) & ~ (v92 = e22) & ~ (v89 =
% 55.90/8.77 | e22)) | ( ~ (v98 = e21) & ~ (v95 = e21) & ~ (v92 = e21) & ~
% 55.90/8.77 | (v89 = e21)) | ( ~ (v98 = e20) & ~ (v95 = e20) & ~ (v92 = e20)
% 55.90/8.77 | & ~ (v89 = e20))) & ( ~ (v87 = v86) | ~ (v85 = v84) | ~ (v83
% 55.90/8.77 | = v82) | ~ (v81 = v80) | ~ (v79 = v78) | ~ (v77 = v76) | ~
% 55.90/8.77 | (v75 = v74) | ~ (v73 = v72) | ~ (v71 = v70) | ~ (v69 = v68) |
% 55.90/8.77 | ~ (v67 = v66) | ~ (v65 = v64) | ~ (v63 = v61) | ~ (v60 = v58) |
% 55.90/8.77 | ~ (v57 = v55) | ~ (v54 = v52) | ( ~ (v62 = e23) & ~ (v59 = e23)
% 55.90/8.77 | & ~ (v56 = e23) & ~ (v53 = e23)) | ( ~ (v62 = e22) & ~ (v59 =
% 55.90/8.77 | e22) & ~ (v56 = e22) & ~ (v53 = e22)) | ( ~ (v62 = e21) & ~
% 55.90/8.77 | (v59 = e21) & ~ (v56 = e21) & ~ (v53 = e21)) | ( ~ (v62 = e20)
% 55.90/8.77 | & ~ (v59 = e20) & ~ (v56 = e20) & ~ (v53 = e20))) & ( ~ (v51
% 55.90/8.77 | = v50) | ~ (v48 = v47) | ~ (v45 = v44) | ~ (v42 = v41) | ~
% 55.90/8.77 | (v39 = v38) | ~ (v36 = v35) | ~ (v33 = v32) | ~ (v30 = v29) |
% 55.90/8.77 | ~ (v27 = v26) | ~ (v24 = v23) | ~ (v21 = v20) | ~ (v18 = v17) |
% 55.90/8.77 | ~ (v15 = v13) | ~ (v11 = v9) | ~ (v7 = v5) | ~ (v3 = v1) | ( ~
% 55.90/8.77 | (v14 = e23) & ~ (v10 = e23) & ~ (v6 = e23) & ~ (v2 = e23)) |
% 55.90/8.77 | ( ~ (v14 = e22) & ~ (v10 = e22) & ~ (v6 = e22) & ~ (v2 = e22))
% 55.90/8.77 | | ( ~ (v14 = e21) & ~ (v10 = e21) & ~ (v6 = e21) & ~ (v2 =
% 55.90/8.77 | e21)) | ( ~ (v14 = e20) & ~ (v10 = e20) & ~ (v6 = e20) & ~
% 55.90/8.77 | (v2 = e20))))
% 55.90/8.77 |
% 55.90/8.77 | ALPHA: (function-axioms) implies:
% 55.90/8.77 | (24) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h1(v2) = v1)
% 55.90/8.77 | | ~ (h1(v2) = v0))
% 55.90/8.77 | (25) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h2(v2) = v1)
% 55.90/8.77 | | ~ (h2(v2) = v0))
% 55.90/8.77 | (26) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h3(v2) = v1)
% 55.90/8.77 | | ~ (h3(v2) = v0))
% 55.90/8.77 | (27) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h4(v2) = v1)
% 55.90/8.77 | | ~ (h4(v2) = v0))
% 55.90/8.78 | (28) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 55.90/8.78 | (op1(v3, v2) = v1) | ~ (op1(v3, v2) = v0))
% 55.90/8.78 | (29) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 55.90/8.78 | (op2(v3, v2) = v1) | ~ (op2(v3, v2) = v0))
% 55.90/8.78 |
% 55.90/8.78 | DELTA: instantiating (20) with fresh symbols all_4_0, all_4_1, all_4_2 gives:
% 55.90/8.78 | (30) h2(e13) = e21 & h2(e12) = all_4_0 & h2(e11) = all_4_1 & h2(e10) =
% 55.90/8.78 | all_4_2 & op2(all_4_2, all_4_2) = all_4_1 & op2(all_4_2, e21) =
% 55.90/8.78 | all_4_0 & op2(e21, e21) = all_4_2 & $i(all_4_0) & $i(all_4_1) &
% 55.90/8.78 | $i(all_4_2)
% 55.90/8.78 |
% 55.90/8.78 | ALPHA: (30) implies:
% 55.90/8.78 | (31) op2(e21, e21) = all_4_2
% 55.90/8.78 | (32) op2(all_4_2, e21) = all_4_0
% 55.90/8.78 | (33) op2(all_4_2, all_4_2) = all_4_1
% 55.90/8.78 | (34) h2(e10) = all_4_2
% 55.90/8.78 | (35) h2(e13) = e21
% 55.90/8.78 |
% 55.90/8.78 | DELTA: instantiating (21) with fresh symbols all_6_0, all_6_1, all_6_2 gives:
% 55.90/8.78 | (36) h3(e13) = e22 & h3(e12) = all_6_0 & h3(e11) = all_6_1 & h3(e10) =
% 55.90/8.78 | all_6_2 & op2(all_6_2, all_6_2) = all_6_1 & op2(all_6_2, e22) =
% 55.90/8.78 | all_6_0 & op2(e22, e22) = all_6_2 & $i(all_6_0) & $i(all_6_1) &
% 55.90/8.78 | $i(all_6_2)
% 55.90/8.78 |
% 55.90/8.78 | ALPHA: (36) implies:
% 55.90/8.78 | (37) op2(e22, e22) = all_6_2
% 55.90/8.78 | (38) op2(all_6_2, e22) = all_6_0
% 55.90/8.78 | (39) op2(all_6_2, all_6_2) = all_6_1
% 55.90/8.78 | (40) h3(e10) = all_6_2
% 55.90/8.78 | (41) h3(e11) = all_6_1
% 55.90/8.78 | (42) h3(e12) = all_6_0
% 55.90/8.78 | (43) h3(e13) = e22
% 55.90/8.78 |
% 55.90/8.78 | DELTA: instantiating (22) with fresh symbols all_8_0, all_8_1, all_8_2 gives:
% 55.90/8.78 | (44) h4(e13) = e23 & h4(e12) = all_8_0 & h4(e11) = all_8_1 & h4(e10) =
% 55.90/8.78 | all_8_2 & op2(all_8_2, all_8_2) = all_8_1 & op2(all_8_2, e23) =
% 55.90/8.78 | all_8_0 & op2(e23, e23) = all_8_2 & $i(all_8_0) & $i(all_8_1) &
% 55.90/8.78 | $i(all_8_2)
% 55.90/8.78 |
% 55.90/8.78 | ALPHA: (44) implies:
% 55.90/8.78 | (45) op2(e23, e23) = all_8_2
% 55.90/8.78 | (46) op2(all_8_2, e23) = all_8_0
% 55.90/8.78 | (47) op2(all_8_2, all_8_2) = all_8_1
% 55.90/8.78 | (48) h4(e10) = all_8_2
% 55.90/8.78 | (49) h4(e11) = all_8_1
% 55.90/8.78 | (50) h4(e12) = all_8_0
% 55.90/8.78 | (51) h4(e13) = e23
% 55.90/8.78 |
% 55.90/8.78 | DELTA: instantiating (19) with fresh symbols all_10_0, all_10_1, all_10_2
% 55.90/8.78 | gives:
% 55.90/8.78 | (52) h1(e13) = e20 & h1(e12) = all_10_0 & h1(e11) = all_10_1 & h1(e10) =
% 55.90/8.78 | all_10_2 & op2(all_10_2, all_10_2) = all_10_1 & op2(all_10_2, e20) =
% 55.90/8.78 | all_10_0 & op2(e20, e20) = all_10_2 & $i(all_10_0) & $i(all_10_1) &
% 55.90/8.78 | $i(all_10_2)
% 55.90/8.78 |
% 55.90/8.78 | ALPHA: (52) implies:
% 56.34/8.78 | (53) op2(e20, e20) = all_10_2
% 56.34/8.78 | (54) op2(all_10_2, e20) = all_10_0
% 56.34/8.78 | (55) op2(all_10_2, all_10_2) = all_10_1
% 56.34/8.78 | (56) h1(e10) = all_10_2
% 56.34/8.78 | (57) h1(e11) = all_10_1
% 56.34/8.78 | (58) h1(e12) = all_10_0
% 56.34/8.78 | (59) h1(e13) = e20
% 56.34/8.78 |
% 56.34/8.78 | DELTA: instantiating (5) with fresh symbols all_12_0, all_12_1, all_12_2,
% 56.34/8.78 | all_12_3, all_12_4, all_12_5, all_12_6, all_12_7, all_12_8, all_12_9,
% 56.34/8.78 | all_12_10, all_12_11, all_12_12, all_12_13, all_12_14, all_12_15 gives:
% 56.34/8.78 | (60) ~ (all_12_0 = all_12_1) & ~ (all_12_0 = all_12_2) & ~ (all_12_0 =
% 56.34/8.78 | all_12_3) & ~ (all_12_0 = all_12_4) & ~ (all_12_0 = all_12_8) & ~
% 56.34/8.78 | (all_12_0 = all_12_12) & ~ (all_12_1 = all_12_2) & ~ (all_12_1 =
% 56.34/8.78 | all_12_3) & ~ (all_12_1 = all_12_5) & ~ (all_12_1 = all_12_9) & ~
% 56.34/8.78 | (all_12_1 = all_12_13) & ~ (all_12_2 = all_12_3) & ~ (all_12_2 =
% 56.34/8.78 | all_12_6) & ~ (all_12_2 = all_12_10) & ~ (all_12_2 = all_12_14) &
% 56.34/8.78 | ~ (all_12_3 = all_12_7) & ~ (all_12_3 = all_12_11) & ~ (all_12_3 =
% 56.34/8.78 | all_12_15) & ~ (all_12_4 = all_12_5) & ~ (all_12_4 = all_12_6) &
% 56.34/8.78 | ~ (all_12_4 = all_12_7) & ~ (all_12_4 = all_12_8) & ~ (all_12_4 =
% 56.34/8.78 | all_12_12) & ~ (all_12_5 = all_12_6) & ~ (all_12_5 = all_12_7) &
% 56.34/8.78 | ~ (all_12_5 = all_12_9) & ~ (all_12_5 = all_12_13) & ~ (all_12_6 =
% 56.34/8.78 | all_12_7) & ~ (all_12_6 = all_12_10) & ~ (all_12_6 = all_12_14) &
% 56.34/8.78 | ~ (all_12_7 = all_12_11) & ~ (all_12_7 = all_12_15) & ~ (all_12_8 =
% 56.34/8.78 | all_12_9) & ~ (all_12_8 = all_12_10) & ~ (all_12_8 = all_12_11) &
% 56.34/8.78 | ~ (all_12_8 = all_12_12) & ~ (all_12_9 = all_12_10) & ~ (all_12_9 =
% 56.34/8.78 | all_12_11) & ~ (all_12_9 = all_12_13) & ~ (all_12_10 = all_12_11)
% 56.34/8.78 | & ~ (all_12_10 = all_12_14) & ~ (all_12_11 = all_12_15) & ~
% 56.34/8.78 | (all_12_12 = all_12_13) & ~ (all_12_12 = all_12_14) & ~ (all_12_12 =
% 56.34/8.78 | all_12_15) & ~ (all_12_13 = all_12_14) & ~ (all_12_13 = all_12_15)
% 56.34/8.78 | & ~ (all_12_14 = all_12_15) & op1(e13, e13) = all_12_0 & op1(e13,
% 56.34/8.78 | e12) = all_12_4 & op1(e13, e11) = all_12_8 & op1(e13, e10) =
% 56.34/8.78 | all_12_12 & op1(e12, e13) = all_12_1 & op1(e12, e12) = all_12_5 &
% 56.34/8.78 | op1(e12, e11) = all_12_9 & op1(e12, e10) = all_12_13 & op1(e11, e13) =
% 56.34/8.78 | all_12_2 & op1(e11, e12) = all_12_6 & op1(e11, e11) = all_12_10 &
% 56.34/8.78 | op1(e11, e10) = all_12_14 & op1(e10, e13) = all_12_3 & op1(e10, e12) =
% 56.34/8.78 | all_12_7 & op1(e10, e11) = all_12_11 & op1(e10, e10) = all_12_15 &
% 56.34/8.78 | $i(all_12_0) & $i(all_12_1) & $i(all_12_2) & $i(all_12_3) &
% 56.34/8.78 | $i(all_12_4) & $i(all_12_5) & $i(all_12_6) & $i(all_12_7) &
% 56.34/8.78 | $i(all_12_8) & $i(all_12_9) & $i(all_12_10) & $i(all_12_11) &
% 56.34/8.78 | $i(all_12_12) & $i(all_12_13) & $i(all_12_14) & $i(all_12_15)
% 56.34/8.78 |
% 56.34/8.78 | ALPHA: (60) implies:
% 56.34/8.79 | (61) ~ (all_12_14 = all_12_15)
% 56.34/8.79 | (62) ~ (all_12_13 = all_12_15)
% 56.34/8.79 | (63) ~ (all_12_13 = all_12_14)
% 56.34/8.79 | (64) ~ (all_12_12 = all_12_15)
% 56.34/8.79 | (65) ~ (all_12_12 = all_12_14)
% 56.34/8.79 | (66) ~ (all_12_12 = all_12_13)
% 56.34/8.79 | (67) ~ (all_12_11 = all_12_15)
% 56.34/8.79 | (68) ~ (all_12_10 = all_12_14)
% 56.34/8.79 | (69) ~ (all_12_10 = all_12_11)
% 56.34/8.79 | (70) ~ (all_12_9 = all_12_13)
% 56.34/8.79 | (71) ~ (all_12_9 = all_12_11)
% 56.34/8.79 | (72) ~ (all_12_9 = all_12_10)
% 56.34/8.79 | (73) ~ (all_12_8 = all_12_12)
% 56.34/8.79 | (74) ~ (all_12_8 = all_12_11)
% 56.34/8.79 | (75) ~ (all_12_8 = all_12_10)
% 56.34/8.79 | (76) ~ (all_12_8 = all_12_9)
% 56.34/8.79 | (77) ~ (all_12_7 = all_12_15)
% 56.34/8.79 | (78) ~ (all_12_7 = all_12_11)
% 56.34/8.79 | (79) ~ (all_12_6 = all_12_14)
% 56.34/8.79 | (80) ~ (all_12_6 = all_12_10)
% 56.34/8.79 | (81) ~ (all_12_6 = all_12_7)
% 56.34/8.79 | (82) ~ (all_12_5 = all_12_13)
% 56.34/8.79 | (83) ~ (all_12_5 = all_12_9)
% 56.34/8.79 | (84) ~ (all_12_5 = all_12_7)
% 56.34/8.79 | (85) ~ (all_12_5 = all_12_6)
% 56.34/8.79 | (86) ~ (all_12_4 = all_12_12)
% 56.34/8.79 | (87) ~ (all_12_4 = all_12_8)
% 56.34/8.79 | (88) ~ (all_12_4 = all_12_7)
% 56.34/8.79 | (89) ~ (all_12_4 = all_12_6)
% 56.34/8.79 | (90) ~ (all_12_4 = all_12_5)
% 56.34/8.79 | (91) ~ (all_12_3 = all_12_15)
% 56.34/8.79 | (92) ~ (all_12_3 = all_12_11)
% 56.34/8.79 | (93) ~ (all_12_3 = all_12_7)
% 56.34/8.79 | (94) ~ (all_12_2 = all_12_14)
% 56.34/8.79 | (95) ~ (all_12_2 = all_12_10)
% 56.34/8.79 | (96) ~ (all_12_2 = all_12_6)
% 56.34/8.79 | (97) ~ (all_12_2 = all_12_3)
% 56.34/8.79 | (98) ~ (all_12_1 = all_12_13)
% 56.34/8.79 | (99) ~ (all_12_1 = all_12_9)
% 56.34/8.79 | (100) ~ (all_12_1 = all_12_5)
% 56.34/8.79 | (101) ~ (all_12_1 = all_12_3)
% 56.34/8.79 | (102) ~ (all_12_1 = all_12_2)
% 56.34/8.79 | (103) ~ (all_12_0 = all_12_12)
% 56.34/8.79 | (104) ~ (all_12_0 = all_12_4)
% 56.34/8.79 | (105) ~ (all_12_0 = all_12_3)
% 56.34/8.79 | (106) ~ (all_12_0 = all_12_2)
% 56.34/8.79 | (107) ~ (all_12_0 = all_12_1)
% 56.34/8.79 | (108) op1(e10, e10) = all_12_15
% 56.34/8.79 | (109) op1(e10, e11) = all_12_11
% 56.34/8.79 | (110) op1(e10, e12) = all_12_7
% 56.34/8.79 | (111) op1(e10, e13) = all_12_3
% 56.34/8.79 | (112) op1(e11, e10) = all_12_14
% 56.34/8.79 | (113) op1(e11, e11) = all_12_10
% 56.34/8.79 | (114) op1(e11, e12) = all_12_6
% 56.34/8.79 | (115) op1(e11, e13) = all_12_2
% 56.34/8.79 | (116) op1(e12, e10) = all_12_13
% 56.34/8.79 | (117) op1(e12, e11) = all_12_9
% 56.34/8.79 | (118) op1(e12, e12) = all_12_5
% 56.34/8.79 | (119) op1(e12, e13) = all_12_1
% 56.34/8.79 | (120) op1(e13, e10) = all_12_12
% 56.34/8.79 | (121) op1(e13, e11) = all_12_8
% 56.34/8.79 | (122) op1(e13, e12) = all_12_4
% 56.34/8.79 | (123) op1(e13, e13) = all_12_0
% 56.34/8.79 |
% 56.34/8.79 | DELTA: instantiating (6) with fresh symbols all_14_0, all_14_1, all_14_2,
% 56.34/8.79 | all_14_3, all_14_4, all_14_5, all_14_6, all_14_7, all_14_8, all_14_9,
% 56.34/8.79 | all_14_10, all_14_11, all_14_12, all_14_13, all_14_14, all_14_15 gives:
% 56.34/8.79 | (124) ~ (all_14_0 = all_14_1) & ~ (all_14_0 = all_14_2) & ~ (all_14_0 =
% 56.34/8.79 | all_14_3) & ~ (all_14_0 = all_14_4) & ~ (all_14_0 = all_14_8) &
% 56.34/8.79 | ~ (all_14_0 = all_14_12) & ~ (all_14_1 = all_14_2) & ~ (all_14_1 =
% 56.34/8.79 | all_14_3) & ~ (all_14_1 = all_14_5) & ~ (all_14_1 = all_14_9) &
% 56.34/8.79 | ~ (all_14_1 = all_14_13) & ~ (all_14_2 = all_14_3) & ~ (all_14_2 =
% 56.34/8.79 | all_14_6) & ~ (all_14_2 = all_14_10) & ~ (all_14_2 = all_14_14) &
% 56.34/8.79 | ~ (all_14_3 = all_14_7) & ~ (all_14_3 = all_14_11) & ~ (all_14_3 =
% 56.34/8.79 | all_14_15) & ~ (all_14_4 = all_14_5) & ~ (all_14_4 = all_14_6) &
% 56.34/8.79 | ~ (all_14_4 = all_14_7) & ~ (all_14_4 = all_14_8) & ~ (all_14_4 =
% 56.34/8.79 | all_14_12) & ~ (all_14_5 = all_14_6) & ~ (all_14_5 = all_14_7) &
% 56.34/8.79 | ~ (all_14_5 = all_14_9) & ~ (all_14_5 = all_14_13) & ~ (all_14_6 =
% 56.34/8.79 | all_14_7) & ~ (all_14_6 = all_14_10) & ~ (all_14_6 = all_14_14) &
% 56.34/8.79 | ~ (all_14_7 = all_14_11) & ~ (all_14_7 = all_14_15) & ~ (all_14_8
% 56.34/8.79 | = all_14_9) & ~ (all_14_8 = all_14_10) & ~ (all_14_8 = all_14_11)
% 56.34/8.79 | & ~ (all_14_8 = all_14_12) & ~ (all_14_9 = all_14_10) & ~
% 56.34/8.79 | (all_14_9 = all_14_11) & ~ (all_14_9 = all_14_13) & ~ (all_14_10 =
% 56.34/8.79 | all_14_11) & ~ (all_14_10 = all_14_14) & ~ (all_14_11 =
% 56.34/8.79 | all_14_15) & ~ (all_14_12 = all_14_13) & ~ (all_14_12 =
% 56.34/8.79 | all_14_14) & ~ (all_14_12 = all_14_15) & ~ (all_14_13 =
% 56.34/8.79 | all_14_14) & ~ (all_14_13 = all_14_15) & ~ (all_14_14 =
% 56.34/8.79 | all_14_15) & op2(e23, e23) = all_14_0 & op2(e23, e22) = all_14_4 &
% 56.34/8.79 | op2(e23, e21) = all_14_8 & op2(e23, e20) = all_14_12 & op2(e22, e23)
% 56.34/8.79 | = all_14_1 & op2(e22, e22) = all_14_5 & op2(e22, e21) = all_14_9 &
% 56.34/8.79 | op2(e22, e20) = all_14_13 & op2(e21, e23) = all_14_2 & op2(e21, e22)
% 56.34/8.79 | = all_14_6 & op2(e21, e21) = all_14_10 & op2(e21, e20) = all_14_14 &
% 56.34/8.79 | op2(e20, e23) = all_14_3 & op2(e20, e22) = all_14_7 & op2(e20, e21) =
% 56.34/8.79 | all_14_11 & op2(e20, e20) = all_14_15 & $i(all_14_0) & $i(all_14_1) &
% 56.34/8.79 | $i(all_14_2) & $i(all_14_3) & $i(all_14_4) & $i(all_14_5) &
% 56.34/8.79 | $i(all_14_6) & $i(all_14_7) & $i(all_14_8) & $i(all_14_9) &
% 56.34/8.79 | $i(all_14_10) & $i(all_14_11) & $i(all_14_12) & $i(all_14_13) &
% 56.34/8.79 | $i(all_14_14) & $i(all_14_15)
% 56.34/8.79 |
% 56.34/8.79 | ALPHA: (124) implies:
% 56.40/8.79 | (125) ~ (all_14_14 = all_14_15)
% 56.40/8.79 | (126) ~ (all_14_13 = all_14_15)
% 56.40/8.79 | (127) ~ (all_14_13 = all_14_14)
% 56.40/8.79 | (128) ~ (all_14_12 = all_14_15)
% 56.40/8.79 | (129) ~ (all_14_12 = all_14_14)
% 56.40/8.79 | (130) ~ (all_14_12 = all_14_13)
% 56.40/8.79 | (131) ~ (all_14_11 = all_14_15)
% 56.40/8.79 | (132) ~ (all_14_10 = all_14_14)
% 56.40/8.79 | (133) ~ (all_14_10 = all_14_11)
% 56.40/8.79 | (134) ~ (all_14_9 = all_14_13)
% 56.40/8.79 | (135) ~ (all_14_9 = all_14_11)
% 56.40/8.79 | (136) ~ (all_14_9 = all_14_10)
% 56.40/8.79 | (137) ~ (all_14_8 = all_14_12)
% 56.40/8.79 | (138) ~ (all_14_8 = all_14_11)
% 56.40/8.79 | (139) ~ (all_14_8 = all_14_10)
% 56.40/8.79 | (140) ~ (all_14_8 = all_14_9)
% 56.40/8.80 | (141) ~ (all_14_7 = all_14_15)
% 56.40/8.80 | (142) ~ (all_14_7 = all_14_11)
% 56.40/8.80 | (143) ~ (all_14_6 = all_14_14)
% 56.40/8.80 | (144) ~ (all_14_6 = all_14_10)
% 56.40/8.80 | (145) ~ (all_14_6 = all_14_7)
% 56.40/8.80 | (146) ~ (all_14_5 = all_14_13)
% 56.40/8.80 | (147) ~ (all_14_5 = all_14_9)
% 56.40/8.80 | (148) ~ (all_14_5 = all_14_7)
% 56.40/8.80 | (149) ~ (all_14_5 = all_14_6)
% 56.40/8.80 | (150) ~ (all_14_4 = all_14_12)
% 56.40/8.80 | (151) ~ (all_14_4 = all_14_8)
% 56.40/8.80 | (152) ~ (all_14_4 = all_14_7)
% 56.40/8.80 | (153) ~ (all_14_4 = all_14_6)
% 56.40/8.80 | (154) ~ (all_14_4 = all_14_5)
% 56.40/8.80 | (155) ~ (all_14_3 = all_14_11)
% 56.40/8.80 | (156) ~ (all_14_3 = all_14_7)
% 56.40/8.80 | (157) ~ (all_14_2 = all_14_14)
% 56.40/8.80 | (158) ~ (all_14_2 = all_14_10)
% 56.40/8.80 | (159) ~ (all_14_2 = all_14_6)
% 56.40/8.80 | (160) ~ (all_14_2 = all_14_3)
% 56.40/8.80 | (161) ~ (all_14_1 = all_14_13)
% 56.40/8.80 | (162) ~ (all_14_1 = all_14_9)
% 56.40/8.80 | (163) ~ (all_14_1 = all_14_5)
% 56.40/8.80 | (164) ~ (all_14_1 = all_14_3)
% 56.40/8.80 | (165) ~ (all_14_1 = all_14_2)
% 56.40/8.80 | (166) ~ (all_14_0 = all_14_12)
% 56.40/8.80 | (167) ~ (all_14_0 = all_14_8)
% 56.40/8.80 | (168) ~ (all_14_0 = all_14_4)
% 56.40/8.80 | (169) ~ (all_14_0 = all_14_2)
% 56.40/8.80 | (170) ~ (all_14_0 = all_14_1)
% 56.40/8.80 | (171) op2(e20, e20) = all_14_15
% 56.40/8.80 | (172) op2(e20, e21) = all_14_11
% 56.40/8.80 | (173) op2(e20, e22) = all_14_7
% 56.40/8.80 | (174) op2(e20, e23) = all_14_3
% 56.40/8.80 | (175) op2(e21, e20) = all_14_14
% 56.40/8.80 | (176) op2(e21, e21) = all_14_10
% 56.40/8.80 | (177) op2(e21, e22) = all_14_6
% 56.40/8.80 | (178) op2(e21, e23) = all_14_2
% 56.40/8.80 | (179) op2(e22, e20) = all_14_13
% 56.40/8.80 | (180) op2(e22, e21) = all_14_9
% 56.40/8.80 | (181) op2(e22, e22) = all_14_5
% 56.40/8.80 | (182) op2(e22, e23) = all_14_1
% 56.40/8.80 | (183) op2(e23, e20) = all_14_12
% 56.40/8.80 | (184) op2(e23, e21) = all_14_8
% 56.40/8.80 | (185) op2(e23, e22) = all_14_4
% 56.40/8.80 | (186) op2(e23, e23) = all_14_0
% 56.40/8.80 |
% 56.40/8.80 | DELTA: instantiating (1) with fresh symbols all_16_0, all_16_1, all_16_2,
% 56.40/8.80 | all_16_3, all_16_4, all_16_5, all_16_6, all_16_7, all_16_8, all_16_9,
% 56.40/8.80 | all_16_10, all_16_11, all_16_12, all_16_13, all_16_14, all_16_15 gives:
% 56.40/8.80 | (187) op1(e13, e13) = all_16_0 & op1(e13, e12) = all_16_1 & op1(e13, e11) =
% 56.40/8.80 | all_16_2 & op1(e13, e10) = all_16_3 & op1(e12, e13) = all_16_4 &
% 56.40/8.80 | op1(e12, e12) = all_16_5 & op1(e12, e11) = all_16_6 & op1(e12, e10) =
% 56.40/8.80 | all_16_7 & op1(e11, e13) = all_16_8 & op1(e11, e12) = all_16_9 &
% 56.40/8.80 | op1(e11, e11) = all_16_10 & op1(e11, e10) = all_16_11 & op1(e10, e13)
% 56.40/8.80 | = all_16_12 & op1(e10, e12) = all_16_13 & op1(e10, e11) = all_16_14 &
% 56.40/8.80 | op1(e10, e10) = all_16_15 & $i(all_16_0) & $i(all_16_1) &
% 56.40/8.80 | $i(all_16_2) & $i(all_16_3) & $i(all_16_4) & $i(all_16_5) &
% 56.40/8.80 | $i(all_16_6) & $i(all_16_7) & $i(all_16_8) & $i(all_16_9) &
% 56.40/8.80 | $i(all_16_10) & $i(all_16_11) & $i(all_16_12) & $i(all_16_13) &
% 56.40/8.80 | $i(all_16_14) & $i(all_16_15) & (all_16_0 = e13 | all_16_0 = e12 |
% 56.40/8.80 | all_16_0 = e11 | all_16_0 = e10) & (all_16_1 = e13 | all_16_1 = e12
% 56.40/8.80 | | all_16_1 = e11 | all_16_1 = e10) & (all_16_2 = e13 | all_16_2 =
% 56.40/8.80 | e12 | all_16_2 = e11 | all_16_2 = e10) & (all_16_3 = e13 | all_16_3
% 56.40/8.80 | = e12 | all_16_3 = e11 | all_16_3 = e10) & (all_16_4 = e13 |
% 56.40/8.80 | all_16_4 = e12 | all_16_4 = e11 | all_16_4 = e10) & (all_16_5 = e13
% 56.40/8.80 | | all_16_5 = e12 | all_16_5 = e11 | all_16_5 = e10) & (all_16_6 =
% 56.40/8.80 | e13 | all_16_6 = e12 | all_16_6 = e11 | all_16_6 = e10) & (all_16_7
% 56.40/8.80 | = e13 | all_16_7 = e12 | all_16_7 = e11 | all_16_7 = e10) &
% 56.40/8.80 | (all_16_8 = e13 | all_16_8 = e12 | all_16_8 = e11 | all_16_8 = e10) &
% 56.40/8.80 | (all_16_9 = e13 | all_16_9 = e12 | all_16_9 = e11 | all_16_9 = e10) &
% 56.40/8.80 | (all_16_10 = e13 | all_16_10 = e12 | all_16_10 = e11 | all_16_10 =
% 56.40/8.80 | e10) & (all_16_11 = e13 | all_16_11 = e12 | all_16_11 = e11 |
% 56.40/8.80 | all_16_11 = e10) & (all_16_12 = e13 | all_16_12 = e12 | all_16_12 =
% 56.40/8.80 | e11 | all_16_12 = e10) & (all_16_13 = e13 | all_16_13 = e12 |
% 56.40/8.80 | all_16_13 = e11 | all_16_13 = e10) & (all_16_14 = e13 | all_16_14 =
% 56.40/8.80 | e12 | all_16_14 = e11 | all_16_14 = e10) & (all_16_15 = e13 |
% 56.40/8.80 | all_16_15 = e12 | all_16_15 = e11 | all_16_15 = e10)
% 56.40/8.80 |
% 56.40/8.80 | ALPHA: (187) implies:
% 56.40/8.80 | (188) op1(e10, e10) = all_16_15
% 56.40/8.80 | (189) op1(e10, e11) = all_16_14
% 56.40/8.80 | (190) op1(e10, e12) = all_16_13
% 56.40/8.80 | (191) op1(e10, e13) = all_16_12
% 56.40/8.80 | (192) op1(e11, e10) = all_16_11
% 56.40/8.80 | (193) op1(e11, e11) = all_16_10
% 56.40/8.80 | (194) op1(e11, e12) = all_16_9
% 56.40/8.80 | (195) op1(e11, e13) = all_16_8
% 56.40/8.80 | (196) op1(e12, e10) = all_16_7
% 56.40/8.80 | (197) op1(e12, e11) = all_16_6
% 56.40/8.80 | (198) op1(e12, e12) = all_16_5
% 56.40/8.80 | (199) op1(e12, e13) = all_16_4
% 56.40/8.80 | (200) op1(e13, e10) = all_16_3
% 56.40/8.80 | (201) op1(e13, e11) = all_16_2
% 56.40/8.80 | (202) op1(e13, e12) = all_16_1
% 56.40/8.80 | (203) op1(e13, e13) = all_16_0
% 56.40/8.80 | (204) all_16_14 = e13 | all_16_14 = e12 | all_16_14 = e11 | all_16_14 = e10
% 56.40/8.80 | (205) all_16_13 = e13 | all_16_13 = e12 | all_16_13 = e11 | all_16_13 = e10
% 56.40/8.80 | (206) all_16_11 = e13 | all_16_11 = e12 | all_16_11 = e11 | all_16_11 = e10
% 56.40/8.80 | (207) all_16_10 = e13 | all_16_10 = e12 | all_16_10 = e11 | all_16_10 = e10
% 56.40/8.80 | (208) all_16_9 = e13 | all_16_9 = e12 | all_16_9 = e11 | all_16_9 = e10
% 56.40/8.80 | (209) all_16_8 = e13 | all_16_8 = e12 | all_16_8 = e11 | all_16_8 = e10
% 56.40/8.80 | (210) all_16_7 = e13 | all_16_7 = e12 | all_16_7 = e11 | all_16_7 = e10
% 56.40/8.80 | (211) all_16_5 = e13 | all_16_5 = e12 | all_16_5 = e11 | all_16_5 = e10
% 56.40/8.81 | (212) all_16_4 = e13 | all_16_4 = e12 | all_16_4 = e11 | all_16_4 = e10
% 56.40/8.81 | (213) all_16_3 = e13 | all_16_3 = e12 | all_16_3 = e11 | all_16_3 = e10
% 56.40/8.81 | (214) all_16_1 = e13 | all_16_1 = e12 | all_16_1 = e11 | all_16_1 = e10
% 56.40/8.81 |
% 56.40/8.81 | DELTA: instantiating (3) with fresh symbols all_18_0, all_18_1, all_18_2,
% 56.40/8.81 | all_18_3, all_18_4, all_18_5, all_18_6, all_18_7, all_18_8, all_18_9,
% 56.40/8.81 | all_18_10, all_18_11, all_18_12, all_18_13, all_18_14, all_18_15 gives:
% 56.40/8.81 | (215) op2(e23, e23) = all_18_0 & op2(e23, e22) = all_18_1 & op2(e23, e21) =
% 56.40/8.81 | all_18_2 & op2(e23, e20) = all_18_3 & op2(e22, e23) = all_18_4 &
% 56.40/8.81 | op2(e22, e22) = all_18_5 & op2(e22, e21) = all_18_6 & op2(e22, e20) =
% 56.40/8.81 | all_18_7 & op2(e21, e23) = all_18_8 & op2(e21, e22) = all_18_9 &
% 56.40/8.81 | op2(e21, e21) = all_18_10 & op2(e21, e20) = all_18_11 & op2(e20, e23)
% 56.40/8.81 | = all_18_12 & op2(e20, e22) = all_18_13 & op2(e20, e21) = all_18_14 &
% 56.40/8.81 | op2(e20, e20) = all_18_15 & $i(all_18_0) & $i(all_18_1) &
% 56.40/8.81 | $i(all_18_2) & $i(all_18_3) & $i(all_18_4) & $i(all_18_5) &
% 56.40/8.81 | $i(all_18_6) & $i(all_18_7) & $i(all_18_8) & $i(all_18_9) &
% 56.40/8.81 | $i(all_18_10) & $i(all_18_11) & $i(all_18_12) & $i(all_18_13) &
% 56.40/8.81 | $i(all_18_14) & $i(all_18_15) & (all_18_0 = e23 | all_18_0 = e22 |
% 56.40/8.81 | all_18_0 = e21 | all_18_0 = e20) & (all_18_1 = e23 | all_18_1 = e22
% 56.40/8.81 | | all_18_1 = e21 | all_18_1 = e20) & (all_18_2 = e23 | all_18_2 =
% 56.40/8.81 | e22 | all_18_2 = e21 | all_18_2 = e20) & (all_18_3 = e23 | all_18_3
% 56.40/8.81 | = e22 | all_18_3 = e21 | all_18_3 = e20) & (all_18_4 = e23 |
% 56.40/8.81 | all_18_4 = e22 | all_18_4 = e21 | all_18_4 = e20) & (all_18_5 = e23
% 56.40/8.81 | | all_18_5 = e22 | all_18_5 = e21 | all_18_5 = e20) & (all_18_6 =
% 56.40/8.81 | e23 | all_18_6 = e22 | all_18_6 = e21 | all_18_6 = e20) & (all_18_7
% 56.40/8.81 | = e23 | all_18_7 = e22 | all_18_7 = e21 | all_18_7 = e20) &
% 56.40/8.81 | (all_18_8 = e23 | all_18_8 = e22 | all_18_8 = e21 | all_18_8 = e20) &
% 56.40/8.81 | (all_18_9 = e23 | all_18_9 = e22 | all_18_9 = e21 | all_18_9 = e20) &
% 56.40/8.81 | (all_18_10 = e23 | all_18_10 = e22 | all_18_10 = e21 | all_18_10 =
% 56.40/8.81 | e20) & (all_18_11 = e23 | all_18_11 = e22 | all_18_11 = e21 |
% 56.40/8.81 | all_18_11 = e20) & (all_18_12 = e23 | all_18_12 = e22 | all_18_12 =
% 56.40/8.81 | e21 | all_18_12 = e20) & (all_18_13 = e23 | all_18_13 = e22 |
% 56.40/8.81 | all_18_13 = e21 | all_18_13 = e20) & (all_18_14 = e23 | all_18_14 =
% 56.40/8.81 | e22 | all_18_14 = e21 | all_18_14 = e20) & (all_18_15 = e23 |
% 56.40/8.81 | all_18_15 = e22 | all_18_15 = e21 | all_18_15 = e20)
% 56.40/8.81 |
% 56.40/8.81 | ALPHA: (215) implies:
% 56.40/8.81 | (216) op2(e20, e20) = all_18_15
% 56.40/8.81 | (217) op2(e20, e21) = all_18_14
% 56.40/8.81 | (218) op2(e20, e22) = all_18_13
% 56.40/8.81 | (219) op2(e20, e23) = all_18_12
% 56.40/8.81 | (220) op2(e21, e20) = all_18_11
% 56.40/8.81 | (221) op2(e21, e21) = all_18_10
% 56.40/8.81 | (222) op2(e21, e22) = all_18_9
% 56.40/8.81 | (223) op2(e21, e23) = all_18_8
% 56.40/8.81 | (224) op2(e22, e20) = all_18_7
% 56.40/8.81 | (225) op2(e22, e21) = all_18_6
% 56.40/8.81 | (226) op2(e22, e22) = all_18_5
% 56.47/8.81 | (227) op2(e22, e23) = all_18_4
% 56.47/8.81 | (228) op2(e23, e20) = all_18_3
% 56.47/8.81 | (229) op2(e23, e21) = all_18_2
% 56.47/8.81 | (230) op2(e23, e22) = all_18_1
% 56.47/8.81 | (231) op2(e23, e23) = all_18_0
% 56.47/8.81 | (232) all_18_14 = e23 | all_18_14 = e22 | all_18_14 = e21 | all_18_14 = e20
% 56.47/8.81 | (233) all_18_13 = e23 | all_18_13 = e22 | all_18_13 = e21 | all_18_13 = e20
% 56.47/8.81 | (234) all_18_11 = e23 | all_18_11 = e22 | all_18_11 = e21 | all_18_11 = e20
% 56.47/8.81 | (235) all_18_10 = e23 | all_18_10 = e22 | all_18_10 = e21 | all_18_10 = e20
% 56.47/8.81 | (236) all_18_9 = e23 | all_18_9 = e22 | all_18_9 = e21 | all_18_9 = e20
% 56.47/8.81 | (237) all_18_8 = e23 | all_18_8 = e22 | all_18_8 = e21 | all_18_8 = e20
% 56.47/8.81 | (238) all_18_7 = e23 | all_18_7 = e22 | all_18_7 = e21 | all_18_7 = e20
% 56.47/8.81 | (239) all_18_6 = e23 | all_18_6 = e22 | all_18_6 = e21 | all_18_6 = e20
% 56.47/8.81 | (240) all_18_5 = e23 | all_18_5 = e22 | all_18_5 = e21 | all_18_5 = e20
% 56.47/8.81 | (241) all_18_4 = e23 | all_18_4 = e22 | all_18_4 = e21 | all_18_4 = e20
% 56.47/8.81 | (242) all_18_3 = e23 | all_18_3 = e22 | all_18_3 = e21 | all_18_3 = e20
% 56.47/8.81 | (243) all_18_2 = e23 | all_18_2 = e22 | all_18_2 = e21 | all_18_2 = e20
% 56.47/8.81 | (244) all_18_1 = e23 | all_18_1 = e22 | all_18_1 = e21 | all_18_1 = e20
% 56.47/8.81 |
% 56.47/8.81 | DELTA: instantiating (11) with fresh symbols all_20_0, all_20_1, all_20_2,
% 56.47/8.81 | all_20_3, all_20_4, all_20_5, all_20_6, all_20_7, all_20_8, all_20_9,
% 56.47/8.81 | all_20_10, all_20_11, all_20_12, all_20_13, all_20_14, all_20_15,
% 56.47/8.81 | all_20_16, all_20_17, all_20_18, all_20_19, all_20_20, all_20_21,
% 56.47/8.81 | all_20_22, all_20_23, all_20_24, all_20_25, all_20_26, all_20_27,
% 56.47/8.81 | all_20_28, all_20_29, all_20_30, all_20_31 gives:
% 56.48/8.82 | (245) op1(all_20_1, e13) = all_20_0 & op1(all_20_3, e12) = all_20_2 &
% 56.48/8.82 | op1(all_20_5, e11) = all_20_4 & op1(all_20_7, e10) = all_20_6 &
% 56.48/8.82 | op1(all_20_9, e13) = all_20_8 & op1(all_20_11, e12) = all_20_10 &
% 56.48/8.82 | op1(all_20_13, e11) = all_20_12 & op1(all_20_15, e10) = all_20_14 &
% 56.48/8.82 | op1(all_20_17, e13) = all_20_16 & op1(all_20_19, e12) = all_20_18 &
% 56.48/8.82 | op1(all_20_21, e11) = all_20_20 & op1(all_20_23, e10) = all_20_22 &
% 56.48/8.82 | op1(all_20_25, e13) = all_20_24 & op1(all_20_27, e12) = all_20_26 &
% 56.48/8.82 | op1(all_20_29, e11) = all_20_28 & op1(all_20_31, e10) = all_20_30 &
% 56.48/8.82 | op1(e13, e13) = all_20_1 & op1(e13, e12) = all_20_9 & op1(e13, e11) =
% 56.48/8.82 | all_20_17 & op1(e13, e10) = all_20_25 & op1(e12, e13) = all_20_3 &
% 56.48/8.82 | op1(e12, e12) = all_20_11 & op1(e12, e11) = all_20_19 & op1(e12, e10)
% 56.48/8.82 | = all_20_27 & op1(e11, e13) = all_20_5 & op1(e11, e12) = all_20_13 &
% 56.48/8.82 | op1(e11, e11) = all_20_21 & op1(e11, e10) = all_20_29 & op1(e10, e13)
% 56.48/8.82 | = all_20_7 & op1(e10, e12) = all_20_15 & op1(e10, e11) = all_20_23 &
% 56.48/8.82 | op1(e10, e10) = all_20_31 & $i(all_20_0) & $i(all_20_1) &
% 56.48/8.82 | $i(all_20_2) & $i(all_20_3) & $i(all_20_4) & $i(all_20_5) &
% 56.48/8.82 | $i(all_20_6) & $i(all_20_7) & $i(all_20_8) & $i(all_20_9) &
% 56.48/8.82 | $i(all_20_10) & $i(all_20_11) & $i(all_20_12) & $i(all_20_13) &
% 56.48/8.82 | $i(all_20_14) & $i(all_20_15) & $i(all_20_16) & $i(all_20_17) &
% 56.48/8.82 | $i(all_20_18) & $i(all_20_19) & $i(all_20_20) & $i(all_20_21) &
% 56.48/8.82 | $i(all_20_22) & $i(all_20_23) & $i(all_20_24) & $i(all_20_25) &
% 56.48/8.82 | $i(all_20_26) & $i(all_20_27) & $i(all_20_28) & $i(all_20_29) &
% 56.48/8.82 | $i(all_20_30) & $i(all_20_31) & (all_20_0 = all_20_1 | all_20_2 =
% 56.48/8.82 | all_20_3 | all_20_4 = all_20_5 | all_20_6 = all_20_7) & (all_20_8 =
% 56.48/8.82 | all_20_9 | all_20_10 = all_20_11 | all_20_12 = all_20_13 |
% 56.48/8.82 | all_20_14 = all_20_15) & (all_20_16 = all_20_17 | all_20_18 =
% 56.48/8.82 | all_20_19 | all_20_20 = all_20_21 | all_20_22 = all_20_23) &
% 56.48/8.82 | (all_20_24 = all_20_25 | all_20_26 = all_20_27 | all_20_28 =
% 56.48/8.82 | all_20_29 | all_20_30 = all_20_31) & ((all_20_1 = e12 & all_20_9 =
% 56.48/8.82 | e13 & ~ (all_20_3 = e13) & ~ (all_20_11 = e12) & ~ (all_20_19
% 56.48/8.82 | = e11) & ~ (all_20_27 = e10)) | (all_20_1 = e11 & all_20_17 =
% 56.48/8.82 | e13 & ~ (all_20_5 = e13) & ~ (all_20_13 = e12) & ~ (all_20_21
% 56.48/8.82 | = e11) & ~ (all_20_29 = e10)) | (all_20_1 = e10 & all_20_25 =
% 56.48/8.82 | e13 & ~ (all_20_7 = e13) & ~ (all_20_15 = e12) & ~ (all_20_23
% 56.48/8.82 | = e11) & ~ (all_20_31 = e10)) | (all_20_3 = e12 & all_20_11 =
% 56.48/8.82 | e13 & ~ (all_20_1 = e13) & ~ (all_20_9 = e12) & ~ (all_20_17 =
% 56.48/8.82 | e11) & ~ (all_20_25 = e10)) | (all_20_5 = e11 & all_20_21 =
% 56.48/8.82 | e13 & ~ (all_20_1 = e13) & ~ (all_20_9 = e12) & ~ (all_20_17 =
% 56.48/8.82 | e11) & ~ (all_20_25 = e10)) | (all_20_7 = e10 & all_20_31 =
% 56.48/8.82 | e13 & ~ (all_20_1 = e13) & ~ (all_20_9 = e12) & ~ (all_20_17 =
% 56.48/8.82 | e11) & ~ (all_20_25 = e10)) | (all_20_11 = e11 & all_20_19 =
% 56.48/8.82 | e12 & ~ (all_20_5 = e13) & ~ (all_20_13 = e12) & ~ (all_20_21
% 56.48/8.82 | = e11) & ~ (all_20_29 = e10)) | (all_20_11 = e10 & all_20_27 =
% 56.48/8.82 | e12 & ~ (all_20_7 = e13) & ~ (all_20_15 = e12) & ~ (all_20_23
% 56.48/8.82 | = e11) & ~ (all_20_31 = e10)) | (all_20_13 = e11 & all_20_21 =
% 56.48/8.82 | e12 & ~ (all_20_3 = e13) & ~ (all_20_11 = e12) & ~ (all_20_19
% 56.48/8.82 | = e11) & ~ (all_20_27 = e10)) | (all_20_15 = e10 & all_20_31 =
% 56.48/8.82 | e12 & ~ (all_20_3 = e13) & ~ (all_20_11 = e12) & ~ (all_20_19
% 56.48/8.82 | = e11) & ~ (all_20_27 = e10)) | (all_20_21 = e10 & all_20_29 =
% 56.48/8.82 | e11 & ~ (all_20_7 = e13) & ~ (all_20_15 = e12) & ~ (all_20_23
% 56.48/8.82 | = e11) & ~ (all_20_31 = e10)) | (all_20_23 = e10 & all_20_31 =
% 56.48/8.82 | e11 & ~ (all_20_5 = e13) & ~ (all_20_13 = e12) & ~ (all_20_21
% 56.48/8.82 | = e11) & ~ (all_20_29 = e10)))
% 56.48/8.82 |
% 56.48/8.82 | ALPHA: (245) implies:
% 56.48/8.82 | (246) op1(e10, e10) = all_20_31
% 56.48/8.82 | (247) op1(e10, e11) = all_20_23
% 56.48/8.82 | (248) op1(e10, e12) = all_20_15
% 56.48/8.82 | (249) op1(e10, e13) = all_20_7
% 56.48/8.82 | (250) op1(e11, e10) = all_20_29
% 56.48/8.82 | (251) op1(e11, e11) = all_20_21
% 56.48/8.82 | (252) op1(e11, e12) = all_20_13
% 56.48/8.82 | (253) op1(e11, e13) = all_20_5
% 56.48/8.82 | (254) op1(e12, e10) = all_20_27
% 56.48/8.82 | (255) op1(e12, e11) = all_20_19
% 56.48/8.82 | (256) op1(e12, e12) = all_20_11
% 56.48/8.82 | (257) op1(e12, e13) = all_20_3
% 56.48/8.82 | (258) op1(e13, e10) = all_20_25
% 56.48/8.82 | (259) op1(e13, e11) = all_20_17
% 56.48/8.82 | (260) op1(e13, e12) = all_20_9
% 56.48/8.82 | (261) op1(e13, e13) = all_20_1
% 56.48/8.82 | (262) op1(all_20_31, e10) = all_20_30
% 56.48/8.82 | (263) op1(all_20_29, e11) = all_20_28
% 56.48/8.82 | (264) op1(all_20_27, e12) = all_20_26
% 56.48/8.82 | (265) op1(all_20_25, e13) = all_20_24
% 56.48/8.82 | (266) op1(all_20_23, e10) = all_20_22
% 56.48/8.82 | (267) op1(all_20_21, e11) = all_20_20
% 56.48/8.82 | (268) op1(all_20_19, e12) = all_20_18
% 56.48/8.82 | (269) op1(all_20_17, e13) = all_20_16
% 56.48/8.82 | (270) op1(all_20_15, e10) = all_20_14
% 56.48/8.82 | (271) op1(all_20_13, e11) = all_20_12
% 56.48/8.82 | (272) op1(all_20_11, e12) = all_20_10
% 56.48/8.82 | (273) op1(all_20_9, e13) = all_20_8
% 56.48/8.82 | (274) op1(all_20_7, e10) = all_20_6
% 56.48/8.82 | (275) op1(all_20_5, e11) = all_20_4
% 56.48/8.82 | (276) op1(all_20_3, e12) = all_20_2
% 56.48/8.82 | (277) op1(all_20_1, e13) = all_20_0
% 56.48/8.82 | (278) (all_20_1 = e12 & all_20_9 = e13 & ~ (all_20_3 = e13) & ~
% 56.48/8.82 | (all_20_11 = e12) & ~ (all_20_19 = e11) & ~ (all_20_27 = e10)) |
% 56.48/8.82 | (all_20_1 = e11 & all_20_17 = e13 & ~ (all_20_5 = e13) & ~
% 56.48/8.82 | (all_20_13 = e12) & ~ (all_20_21 = e11) & ~ (all_20_29 = e10)) |
% 56.48/8.82 | (all_20_1 = e10 & all_20_25 = e13 & ~ (all_20_7 = e13) & ~
% 56.48/8.82 | (all_20_15 = e12) & ~ (all_20_23 = e11) & ~ (all_20_31 = e10)) |
% 56.48/8.82 | (all_20_3 = e12 & all_20_11 = e13 & ~ (all_20_1 = e13) & ~
% 56.48/8.82 | (all_20_9 = e12) & ~ (all_20_17 = e11) & ~ (all_20_25 = e10)) |
% 56.48/8.82 | (all_20_5 = e11 & all_20_21 = e13 & ~ (all_20_1 = e13) & ~
% 56.48/8.82 | (all_20_9 = e12) & ~ (all_20_17 = e11) & ~ (all_20_25 = e10)) |
% 56.48/8.82 | (all_20_7 = e10 & all_20_31 = e13 & ~ (all_20_1 = e13) & ~
% 56.48/8.82 | (all_20_9 = e12) & ~ (all_20_17 = e11) & ~ (all_20_25 = e10)) |
% 56.48/8.82 | (all_20_11 = e11 & all_20_19 = e12 & ~ (all_20_5 = e13) & ~
% 56.48/8.82 | (all_20_13 = e12) & ~ (all_20_21 = e11) & ~ (all_20_29 = e10)) |
% 56.48/8.82 | (all_20_11 = e10 & all_20_27 = e12 & ~ (all_20_7 = e13) & ~
% 56.48/8.82 | (all_20_15 = e12) & ~ (all_20_23 = e11) & ~ (all_20_31 = e10)) |
% 56.48/8.82 | (all_20_13 = e11 & all_20_21 = e12 & ~ (all_20_3 = e13) & ~
% 56.48/8.82 | (all_20_11 = e12) & ~ (all_20_19 = e11) & ~ (all_20_27 = e10)) |
% 56.48/8.82 | (all_20_15 = e10 & all_20_31 = e12 & ~ (all_20_3 = e13) & ~
% 56.48/8.82 | (all_20_11 = e12) & ~ (all_20_19 = e11) & ~ (all_20_27 = e10)) |
% 56.48/8.82 | (all_20_21 = e10 & all_20_29 = e11 & ~ (all_20_7 = e13) & ~
% 56.48/8.82 | (all_20_15 = e12) & ~ (all_20_23 = e11) & ~ (all_20_31 = e10)) |
% 56.48/8.82 | (all_20_23 = e10 & all_20_31 = e11 & ~ (all_20_5 = e13) & ~
% 56.48/8.82 | (all_20_13 = e12) & ~ (all_20_21 = e11) & ~ (all_20_29 = e10))
% 56.48/8.82 | (279) all_20_24 = all_20_25 | all_20_26 = all_20_27 | all_20_28 = all_20_29
% 56.48/8.82 | | all_20_30 = all_20_31
% 56.48/8.82 | (280) all_20_16 = all_20_17 | all_20_18 = all_20_19 | all_20_20 = all_20_21
% 56.48/8.82 | | all_20_22 = all_20_23
% 56.48/8.82 | (281) all_20_8 = all_20_9 | all_20_10 = all_20_11 | all_20_12 = all_20_13 |
% 56.48/8.82 | all_20_14 = all_20_15
% 56.48/8.82 | (282) all_20_0 = all_20_1 | all_20_2 = all_20_3 | all_20_4 = all_20_5 |
% 56.48/8.82 | all_20_6 = all_20_7
% 56.48/8.82 |
% 56.48/8.82 | DELTA: instantiating (12) with fresh symbols all_22_0, all_22_1, all_22_2,
% 56.48/8.82 | all_22_3, all_22_4, all_22_5, all_22_6, all_22_7, all_22_8, all_22_9,
% 56.48/8.82 | all_22_10, all_22_11, all_22_12, all_22_13, all_22_14, all_22_15,
% 56.48/8.82 | all_22_16, all_22_17, all_22_18, all_22_19, all_22_20, all_22_21,
% 56.48/8.82 | all_22_22, all_22_23, all_22_24, all_22_25, all_22_26, all_22_27,
% 56.48/8.82 | all_22_28, all_22_29, all_22_30, all_22_31 gives:
% 56.48/8.83 | (283) op2(all_22_1, e23) = all_22_0 & op2(all_22_3, e22) = all_22_2 &
% 56.48/8.83 | op2(all_22_5, e21) = all_22_4 & op2(all_22_7, e20) = all_22_6 &
% 56.48/8.83 | op2(all_22_9, e23) = all_22_8 & op2(all_22_11, e22) = all_22_10 &
% 56.48/8.83 | op2(all_22_13, e21) = all_22_12 & op2(all_22_15, e20) = all_22_14 &
% 56.48/8.83 | op2(all_22_17, e23) = all_22_16 & op2(all_22_19, e22) = all_22_18 &
% 56.48/8.83 | op2(all_22_21, e21) = all_22_20 & op2(all_22_23, e20) = all_22_22 &
% 56.48/8.83 | op2(all_22_25, e23) = all_22_24 & op2(all_22_27, e22) = all_22_26 &
% 56.48/8.83 | op2(all_22_29, e21) = all_22_28 & op2(all_22_31, e20) = all_22_30 &
% 56.48/8.83 | op2(e23, e23) = all_22_1 & op2(e23, e22) = all_22_9 & op2(e23, e21) =
% 56.48/8.83 | all_22_17 & op2(e23, e20) = all_22_25 & op2(e22, e23) = all_22_3 &
% 56.48/8.83 | op2(e22, e22) = all_22_11 & op2(e22, e21) = all_22_19 & op2(e22, e20)
% 56.48/8.83 | = all_22_27 & op2(e21, e23) = all_22_5 & op2(e21, e22) = all_22_13 &
% 56.48/8.83 | op2(e21, e21) = all_22_21 & op2(e21, e20) = all_22_29 & op2(e20, e23)
% 56.48/8.83 | = all_22_7 & op2(e20, e22) = all_22_15 & op2(e20, e21) = all_22_23 &
% 56.48/8.83 | op2(e20, e20) = all_22_31 & $i(all_22_0) & $i(all_22_1) &
% 56.48/8.83 | $i(all_22_2) & $i(all_22_3) & $i(all_22_4) & $i(all_22_5) &
% 56.48/8.83 | $i(all_22_6) & $i(all_22_7) & $i(all_22_8) & $i(all_22_9) &
% 56.48/8.83 | $i(all_22_10) & $i(all_22_11) & $i(all_22_12) & $i(all_22_13) &
% 56.48/8.83 | $i(all_22_14) & $i(all_22_15) & $i(all_22_16) & $i(all_22_17) &
% 56.48/8.83 | $i(all_22_18) & $i(all_22_19) & $i(all_22_20) & $i(all_22_21) &
% 56.48/8.83 | $i(all_22_22) & $i(all_22_23) & $i(all_22_24) & $i(all_22_25) &
% 56.48/8.83 | $i(all_22_26) & $i(all_22_27) & $i(all_22_28) & $i(all_22_29) &
% 56.48/8.83 | $i(all_22_30) & $i(all_22_31) & (all_22_0 = all_22_1 | all_22_2 =
% 56.48/8.83 | all_22_3 | all_22_4 = all_22_5 | all_22_6 = all_22_7) & (all_22_8 =
% 56.48/8.83 | all_22_9 | all_22_10 = all_22_11 | all_22_12 = all_22_13 |
% 56.48/8.83 | all_22_14 = all_22_15) & (all_22_16 = all_22_17 | all_22_18 =
% 56.48/8.83 | all_22_19 | all_22_20 = all_22_21 | all_22_22 = all_22_23) &
% 56.48/8.83 | (all_22_24 = all_22_25 | all_22_26 = all_22_27 | all_22_28 =
% 56.48/8.83 | all_22_29 | all_22_30 = all_22_31) & ((all_22_1 = e22 & all_22_9 =
% 56.48/8.83 | e23 & ~ (all_22_3 = e23) & ~ (all_22_11 = e22) & ~ (all_22_19
% 56.48/8.83 | = e21) & ~ (all_22_27 = e20)) | (all_22_1 = e21 & all_22_17 =
% 56.48/8.83 | e23 & ~ (all_22_5 = e23) & ~ (all_22_13 = e22) & ~ (all_22_21
% 56.48/8.83 | = e21) & ~ (all_22_29 = e20)) | (all_22_1 = e20 & all_22_25 =
% 56.48/8.83 | e23 & ~ (all_22_7 = e23) & ~ (all_22_15 = e22) & ~ (all_22_23
% 56.48/8.83 | = e21) & ~ (all_22_31 = e20)) | (all_22_3 = e22 & all_22_11 =
% 56.48/8.83 | e23 & ~ (all_22_1 = e23) & ~ (all_22_9 = e22) & ~ (all_22_17 =
% 56.48/8.83 | e21) & ~ (all_22_25 = e20)) | (all_22_5 = e21 & all_22_21 =
% 56.48/8.83 | e23 & ~ (all_22_1 = e23) & ~ (all_22_9 = e22) & ~ (all_22_17 =
% 56.48/8.83 | e21) & ~ (all_22_25 = e20)) | (all_22_7 = e20 & all_22_31 =
% 56.48/8.83 | e23 & ~ (all_22_1 = e23) & ~ (all_22_9 = e22) & ~ (all_22_17 =
% 56.48/8.83 | e21) & ~ (all_22_25 = e20)) | (all_22_11 = e21 & all_22_19 =
% 56.48/8.83 | e22 & ~ (all_22_5 = e23) & ~ (all_22_13 = e22) & ~ (all_22_21
% 56.48/8.83 | = e21) & ~ (all_22_29 = e20)) | (all_22_11 = e20 & all_22_27 =
% 56.48/8.83 | e22 & ~ (all_22_7 = e23) & ~ (all_22_15 = e22) & ~ (all_22_23
% 56.48/8.83 | = e21) & ~ (all_22_31 = e20)) | (all_22_13 = e21 & all_22_21 =
% 56.48/8.83 | e22 & ~ (all_22_3 = e23) & ~ (all_22_11 = e22) & ~ (all_22_19
% 56.48/8.83 | = e21) & ~ (all_22_27 = e20)) | (all_22_15 = e20 & all_22_31 =
% 56.48/8.83 | e22 & ~ (all_22_3 = e23) & ~ (all_22_11 = e22) & ~ (all_22_19
% 56.48/8.83 | = e21) & ~ (all_22_27 = e20)) | (all_22_21 = e20 & all_22_29 =
% 56.48/8.83 | e21 & ~ (all_22_7 = e23) & ~ (all_22_15 = e22) & ~ (all_22_23
% 56.48/8.83 | = e21) & ~ (all_22_31 = e20)) | (all_22_23 = e20 & all_22_31 =
% 56.48/8.83 | e21 & ~ (all_22_5 = e23) & ~ (all_22_13 = e22) & ~ (all_22_21
% 56.48/8.83 | = e21) & ~ (all_22_29 = e20)))
% 56.48/8.83 |
% 56.48/8.83 | ALPHA: (283) implies:
% 56.48/8.83 | (284) op2(e20, e20) = all_22_31
% 56.48/8.83 | (285) op2(e20, e21) = all_22_23
% 56.48/8.83 | (286) op2(e20, e22) = all_22_15
% 56.48/8.83 | (287) op2(e20, e23) = all_22_7
% 56.48/8.83 | (288) op2(e21, e20) = all_22_29
% 56.48/8.83 | (289) op2(e21, e21) = all_22_21
% 56.48/8.83 | (290) op2(e21, e22) = all_22_13
% 56.48/8.83 | (291) op2(e21, e23) = all_22_5
% 56.48/8.83 | (292) op2(e22, e20) = all_22_27
% 56.48/8.83 | (293) op2(e22, e21) = all_22_19
% 56.48/8.83 | (294) op2(e22, e22) = all_22_11
% 56.48/8.83 | (295) op2(e22, e23) = all_22_3
% 56.48/8.83 | (296) op2(e23, e20) = all_22_25
% 56.48/8.83 | (297) op2(e23, e21) = all_22_17
% 56.48/8.83 | (298) op2(e23, e22) = all_22_9
% 56.48/8.83 | (299) op2(e23, e23) = all_22_1
% 56.48/8.83 | (300) op2(all_22_31, e20) = all_22_30
% 56.48/8.83 | (301) op2(all_22_29, e21) = all_22_28
% 56.48/8.83 | (302) op2(all_22_27, e22) = all_22_26
% 56.48/8.83 | (303) op2(all_22_25, e23) = all_22_24
% 56.48/8.83 | (304) op2(all_22_23, e20) = all_22_22
% 56.48/8.83 | (305) op2(all_22_21, e21) = all_22_20
% 56.48/8.83 | (306) op2(all_22_19, e22) = all_22_18
% 56.48/8.83 | (307) op2(all_22_17, e23) = all_22_16
% 56.48/8.83 | (308) op2(all_22_15, e20) = all_22_14
% 56.48/8.83 | (309) op2(all_22_13, e21) = all_22_12
% 56.48/8.83 | (310) op2(all_22_11, e22) = all_22_10
% 56.48/8.83 | (311) op2(all_22_9, e23) = all_22_8
% 56.48/8.83 | (312) op2(all_22_7, e20) = all_22_6
% 56.48/8.83 | (313) op2(all_22_5, e21) = all_22_4
% 56.48/8.83 | (314) op2(all_22_3, e22) = all_22_2
% 56.48/8.83 | (315) op2(all_22_1, e23) = all_22_0
% 56.48/8.83 | (316) (all_22_1 = e22 & all_22_9 = e23 & ~ (all_22_3 = e23) & ~
% 56.48/8.83 | (all_22_11 = e22) & ~ (all_22_19 = e21) & ~ (all_22_27 = e20)) |
% 56.48/8.83 | (all_22_1 = e21 & all_22_17 = e23 & ~ (all_22_5 = e23) & ~
% 56.48/8.83 | (all_22_13 = e22) & ~ (all_22_21 = e21) & ~ (all_22_29 = e20)) |
% 56.48/8.83 | (all_22_1 = e20 & all_22_25 = e23 & ~ (all_22_7 = e23) & ~
% 56.48/8.83 | (all_22_15 = e22) & ~ (all_22_23 = e21) & ~ (all_22_31 = e20)) |
% 56.48/8.83 | (all_22_3 = e22 & all_22_11 = e23 & ~ (all_22_1 = e23) & ~
% 56.48/8.83 | (all_22_9 = e22) & ~ (all_22_17 = e21) & ~ (all_22_25 = e20)) |
% 56.48/8.83 | (all_22_5 = e21 & all_22_21 = e23 & ~ (all_22_1 = e23) & ~
% 56.48/8.83 | (all_22_9 = e22) & ~ (all_22_17 = e21) & ~ (all_22_25 = e20)) |
% 56.48/8.83 | (all_22_7 = e20 & all_22_31 = e23 & ~ (all_22_1 = e23) & ~
% 56.48/8.83 | (all_22_9 = e22) & ~ (all_22_17 = e21) & ~ (all_22_25 = e20)) |
% 56.48/8.83 | (all_22_11 = e21 & all_22_19 = e22 & ~ (all_22_5 = e23) & ~
% 56.48/8.83 | (all_22_13 = e22) & ~ (all_22_21 = e21) & ~ (all_22_29 = e20)) |
% 56.48/8.83 | (all_22_11 = e20 & all_22_27 = e22 & ~ (all_22_7 = e23) & ~
% 56.48/8.83 | (all_22_15 = e22) & ~ (all_22_23 = e21) & ~ (all_22_31 = e20)) |
% 56.48/8.83 | (all_22_13 = e21 & all_22_21 = e22 & ~ (all_22_3 = e23) & ~
% 56.48/8.83 | (all_22_11 = e22) & ~ (all_22_19 = e21) & ~ (all_22_27 = e20)) |
% 56.48/8.83 | (all_22_15 = e20 & all_22_31 = e22 & ~ (all_22_3 = e23) & ~
% 56.48/8.83 | (all_22_11 = e22) & ~ (all_22_19 = e21) & ~ (all_22_27 = e20)) |
% 56.48/8.83 | (all_22_21 = e20 & all_22_29 = e21 & ~ (all_22_7 = e23) & ~
% 56.48/8.83 | (all_22_15 = e22) & ~ (all_22_23 = e21) & ~ (all_22_31 = e20)) |
% 56.48/8.83 | (all_22_23 = e20 & all_22_31 = e21 & ~ (all_22_5 = e23) & ~
% 56.48/8.83 | (all_22_13 = e22) & ~ (all_22_21 = e21) & ~ (all_22_29 = e20))
% 56.48/8.83 | (317) all_22_24 = all_22_25 | all_22_26 = all_22_27 | all_22_28 = all_22_29
% 56.48/8.83 | | all_22_30 = all_22_31
% 56.48/8.83 | (318) all_22_16 = all_22_17 | all_22_18 = all_22_19 | all_22_20 = all_22_21
% 56.48/8.83 | | all_22_22 = all_22_23
% 56.48/8.83 | (319) all_22_8 = all_22_9 | all_22_10 = all_22_11 | all_22_12 = all_22_13 |
% 56.48/8.83 | all_22_14 = all_22_15
% 56.48/8.83 | (320) all_22_0 = all_22_1 | all_22_2 = all_22_3 | all_22_4 = all_22_5 |
% 56.48/8.83 | all_22_6 = all_22_7
% 56.48/8.83 |
% 56.48/8.83 | DELTA: instantiating (2) with fresh symbols all_24_0, all_24_1, all_24_2,
% 56.48/8.83 | all_24_3, all_24_4, all_24_5, all_24_6, all_24_7, all_24_8, all_24_9,
% 56.48/8.83 | all_24_10, all_24_11, all_24_12, all_24_13, all_24_14, all_24_15 gives:
% 56.48/8.84 | (321) op1(e13, e13) = all_24_0 & op1(e13, e12) = all_24_1 & op1(e13, e11) =
% 56.48/8.84 | all_24_4 & op1(e13, e10) = all_24_9 & op1(e12, e13) = all_24_2 &
% 56.48/8.84 | op1(e12, e12) = all_24_3 & op1(e12, e11) = all_24_5 & op1(e12, e10) =
% 56.48/8.84 | all_24_10 & op1(e11, e13) = all_24_6 & op1(e11, e12) = all_24_7 &
% 56.48/8.84 | op1(e11, e11) = all_24_8 & op1(e11, e10) = all_24_11 & op1(e10, e13)
% 56.48/8.84 | = all_24_12 & op1(e10, e12) = all_24_13 & op1(e10, e11) = all_24_14 &
% 56.48/8.84 | op1(e10, e10) = all_24_15 & $i(all_24_0) & $i(all_24_1) &
% 56.48/8.84 | $i(all_24_2) & $i(all_24_3) & $i(all_24_4) & $i(all_24_5) &
% 56.48/8.84 | $i(all_24_6) & $i(all_24_7) & $i(all_24_8) & $i(all_24_9) &
% 56.48/8.84 | $i(all_24_10) & $i(all_24_11) & $i(all_24_12) & $i(all_24_13) &
% 56.48/8.84 | $i(all_24_14) & $i(all_24_15) & (all_24_0 = e13 | all_24_1 = e13 |
% 56.48/8.84 | all_24_4 = e13 | all_24_9 = e13) & (all_24_0 = e13 | all_24_2 = e13
% 56.48/8.84 | | all_24_6 = e13 | all_24_12 = e13) & (all_24_0 = e12 | all_24_1 =
% 56.48/8.84 | e12 | all_24_4 = e12 | all_24_9 = e12) & (all_24_0 = e12 | all_24_2
% 56.48/8.84 | = e12 | all_24_6 = e12 | all_24_12 = e12) & (all_24_0 = e11 |
% 56.48/8.84 | all_24_1 = e11 | all_24_4 = e11 | all_24_9 = e11) & (all_24_0 = e11
% 56.48/8.84 | | all_24_2 = e11 | all_24_6 = e11 | all_24_12 = e11) & (all_24_0 =
% 56.48/8.84 | e10 | all_24_1 = e10 | all_24_4 = e10 | all_24_9 = e10) & (all_24_0
% 56.48/8.84 | = e10 | all_24_2 = e10 | all_24_6 = e10 | all_24_12 = e10) &
% 56.48/8.84 | (all_24_1 = e13 | all_24_3 = e13 | all_24_7 = e13 | all_24_13 = e13)
% 56.48/8.84 | & (all_24_1 = e12 | all_24_3 = e12 | all_24_7 = e12 | all_24_13 =
% 56.48/8.84 | e12) & (all_24_1 = e11 | all_24_3 = e11 | all_24_7 = e11 |
% 56.48/8.84 | all_24_13 = e11) & (all_24_1 = e10 | all_24_3 = e10 | all_24_7 =
% 56.48/8.84 | e10 | all_24_13 = e10) & (all_24_2 = e13 | all_24_3 = e13 |
% 56.48/8.84 | all_24_5 = e13 | all_24_10 = e13) & (all_24_2 = e12 | all_24_3 =
% 56.48/8.84 | e12 | all_24_5 = e12 | all_24_10 = e12) & (all_24_2 = e11 |
% 56.48/8.84 | all_24_3 = e11 | all_24_5 = e11 | all_24_10 = e11) & (all_24_2 =
% 56.48/8.84 | e10 | all_24_3 = e10 | all_24_5 = e10 | all_24_10 = e10) &
% 56.48/8.84 | (all_24_4 = e13 | all_24_5 = e13 | all_24_8 = e13 | all_24_14 = e13)
% 56.48/8.84 | & (all_24_4 = e12 | all_24_5 = e12 | all_24_8 = e12 | all_24_14 =
% 56.48/8.84 | e12) & (all_24_4 = e11 | all_24_5 = e11 | all_24_8 = e11 |
% 56.48/8.84 | all_24_14 = e11) & (all_24_4 = e10 | all_24_5 = e10 | all_24_8 =
% 56.48/8.84 | e10 | all_24_14 = e10) & (all_24_6 = e13 | all_24_7 = e13 |
% 56.48/8.84 | all_24_8 = e13 | all_24_11 = e13) & (all_24_6 = e12 | all_24_7 =
% 56.48/8.84 | e12 | all_24_8 = e12 | all_24_11 = e12) & (all_24_6 = e11 |
% 56.48/8.84 | all_24_7 = e11 | all_24_8 = e11 | all_24_11 = e11) & (all_24_6 =
% 56.48/8.84 | e10 | all_24_7 = e10 | all_24_8 = e10 | all_24_11 = e10) &
% 56.48/8.84 | (all_24_9 = e13 | all_24_10 = e13 | all_24_11 = e13 | all_24_15 =
% 56.48/8.84 | e13) & (all_24_9 = e12 | all_24_10 = e12 | all_24_11 = e12 |
% 56.48/8.84 | all_24_15 = e12) & (all_24_9 = e11 | all_24_10 = e11 | all_24_11 =
% 56.48/8.84 | e11 | all_24_15 = e11) & (all_24_12 = e13 | all_24_13 = e13 |
% 56.48/8.84 | all_24_14 = e13 | all_24_15 = e13) & (all_24_12 = e12 | all_24_13 =
% 56.48/8.84 | e12 | all_24_14 = e12 | all_24_15 = e12) & (all_24_12 = e11 |
% 56.48/8.84 | all_24_13 = e11 | all_24_14 = e11 | all_24_15 = e11) & (all_24_15 =
% 56.48/8.84 | e10 | ((all_24_9 = e10 | all_24_10 = e10 | all_24_11 = e10) &
% 56.48/8.84 | (all_24_12 = e10 | all_24_13 = e10 | all_24_14 = e10)))
% 56.48/8.84 |
% 56.48/8.84 | ALPHA: (321) implies:
% 56.48/8.84 | (322) op1(e10, e10) = all_24_15
% 56.48/8.84 | (323) op1(e10, e11) = all_24_14
% 56.48/8.84 | (324) op1(e10, e12) = all_24_13
% 56.48/8.84 | (325) op1(e10, e13) = all_24_12
% 56.48/8.84 | (326) op1(e11, e10) = all_24_11
% 56.48/8.84 | (327) op1(e11, e11) = all_24_8
% 56.48/8.84 | (328) op1(e11, e12) = all_24_7
% 56.48/8.84 | (329) op1(e11, e13) = all_24_6
% 56.48/8.84 | (330) op1(e12, e10) = all_24_10
% 56.48/8.84 | (331) op1(e12, e11) = all_24_5
% 56.48/8.84 | (332) op1(e12, e12) = all_24_3
% 56.48/8.84 | (333) op1(e12, e13) = all_24_2
% 56.48/8.84 | (334) op1(e13, e10) = all_24_9
% 56.48/8.84 | (335) op1(e13, e11) = all_24_4
% 56.48/8.84 | (336) op1(e13, e12) = all_24_1
% 56.48/8.84 | (337) op1(e13, e13) = all_24_0
% 56.48/8.84 | (338) all_24_9 = e13 | all_24_10 = e13 | all_24_11 = e13 | all_24_15 = e13
% 56.48/8.84 | (339) all_24_6 = e10 | all_24_7 = e10 | all_24_8 = e10 | all_24_11 = e10
% 56.48/8.84 | (340) all_24_6 = e11 | all_24_7 = e11 | all_24_8 = e11 | all_24_11 = e11
% 56.48/8.84 | (341) all_24_4 = e11 | all_24_5 = e11 | all_24_8 = e11 | all_24_14 = e11
% 56.48/8.84 | (342) all_24_4 = e12 | all_24_5 = e12 | all_24_8 = e12 | all_24_14 = e12
% 56.48/8.84 | (343) all_24_4 = e13 | all_24_5 = e13 | all_24_8 = e13 | all_24_14 = e13
% 56.48/8.84 | (344) all_24_2 = e10 | all_24_3 = e10 | all_24_5 = e10 | all_24_10 = e10
% 56.48/8.84 | (345) all_24_2 = e11 | all_24_3 = e11 | all_24_5 = e11 | all_24_10 = e11
% 56.48/8.84 | (346) all_24_1 = e10 | all_24_3 = e10 | all_24_7 = e10 | all_24_13 = e10
% 56.48/8.84 | (347) all_24_1 = e11 | all_24_3 = e11 | all_24_7 = e11 | all_24_13 = e11
% 56.48/8.84 | (348) all_24_1 = e12 | all_24_3 = e12 | all_24_7 = e12 | all_24_13 = e12
% 56.48/8.84 | (349) all_24_1 = e13 | all_24_3 = e13 | all_24_7 = e13 | all_24_13 = e13
% 56.48/8.84 | (350) all_24_0 = e11 | all_24_2 = e11 | all_24_6 = e11 | all_24_12 = e11
% 56.48/8.84 | (351) all_24_0 = e11 | all_24_1 = e11 | all_24_4 = e11 | all_24_9 = e11
% 56.48/8.84 | (352) all_24_0 = e12 | all_24_1 = e12 | all_24_4 = e12 | all_24_9 = e12
% 56.48/8.84 |
% 56.48/8.84 | DELTA: instantiating (4) with fresh symbols all_26_0, all_26_1, all_26_2,
% 56.48/8.84 | all_26_3, all_26_4, all_26_5, all_26_6, all_26_7, all_26_8, all_26_9,
% 56.48/8.84 | all_26_10, all_26_11, all_26_12, all_26_13, all_26_14, all_26_15 gives:
% 56.48/8.84 | (353) op2(e23, e23) = all_26_0 & op2(e23, e22) = all_26_1 & op2(e23, e21) =
% 56.48/8.84 | all_26_4 & op2(e23, e20) = all_26_9 & op2(e22, e23) = all_26_2 &
% 56.48/8.84 | op2(e22, e22) = all_26_3 & op2(e22, e21) = all_26_5 & op2(e22, e20) =
% 56.48/8.84 | all_26_10 & op2(e21, e23) = all_26_6 & op2(e21, e22) = all_26_7 &
% 56.48/8.84 | op2(e21, e21) = all_26_8 & op2(e21, e20) = all_26_11 & op2(e20, e23)
% 56.48/8.84 | = all_26_12 & op2(e20, e22) = all_26_13 & op2(e20, e21) = all_26_14 &
% 56.48/8.84 | op2(e20, e20) = all_26_15 & $i(all_26_0) & $i(all_26_1) &
% 56.48/8.84 | $i(all_26_2) & $i(all_26_3) & $i(all_26_4) & $i(all_26_5) &
% 56.48/8.84 | $i(all_26_6) & $i(all_26_7) & $i(all_26_8) & $i(all_26_9) &
% 56.48/8.84 | $i(all_26_10) & $i(all_26_11) & $i(all_26_12) & $i(all_26_13) &
% 56.48/8.84 | $i(all_26_14) & $i(all_26_15) & (all_26_0 = e23 | all_26_1 = e23 |
% 56.48/8.84 | all_26_4 = e23 | all_26_9 = e23) & (all_26_0 = e23 | all_26_2 = e23
% 56.48/8.84 | | all_26_6 = e23 | all_26_12 = e23) & (all_26_0 = e22 | all_26_1 =
% 56.48/8.84 | e22 | all_26_4 = e22 | all_26_9 = e22) & (all_26_0 = e22 | all_26_2
% 56.48/8.84 | = e22 | all_26_6 = e22 | all_26_12 = e22) & (all_26_0 = e21 |
% 56.48/8.84 | all_26_1 = e21 | all_26_4 = e21 | all_26_9 = e21) & (all_26_0 = e21
% 56.48/8.84 | | all_26_2 = e21 | all_26_6 = e21 | all_26_12 = e21) & (all_26_0 =
% 56.48/8.84 | e20 | all_26_1 = e20 | all_26_4 = e20 | all_26_9 = e20) & (all_26_0
% 56.48/8.84 | = e20 | all_26_2 = e20 | all_26_6 = e20 | all_26_12 = e20) &
% 56.48/8.84 | (all_26_1 = e23 | all_26_3 = e23 | all_26_7 = e23 | all_26_13 = e23)
% 56.48/8.84 | & (all_26_1 = e22 | all_26_3 = e22 | all_26_7 = e22 | all_26_13 =
% 56.48/8.84 | e22) & (all_26_1 = e21 | all_26_3 = e21 | all_26_7 = e21 |
% 56.48/8.84 | all_26_13 = e21) & (all_26_1 = e20 | all_26_3 = e20 | all_26_7 =
% 56.48/8.84 | e20 | all_26_13 = e20) & (all_26_2 = e23 | all_26_3 = e23 |
% 56.48/8.84 | all_26_5 = e23 | all_26_10 = e23) & (all_26_2 = e22 | all_26_3 =
% 56.48/8.84 | e22 | all_26_5 = e22 | all_26_10 = e22) & (all_26_2 = e21 |
% 56.48/8.84 | all_26_3 = e21 | all_26_5 = e21 | all_26_10 = e21) & (all_26_2 =
% 56.48/8.84 | e20 | all_26_3 = e20 | all_26_5 = e20 | all_26_10 = e20) &
% 56.48/8.84 | (all_26_4 = e23 | all_26_5 = e23 | all_26_8 = e23 | all_26_14 = e23)
% 56.48/8.84 | & (all_26_4 = e22 | all_26_5 = e22 | all_26_8 = e22 | all_26_14 =
% 56.48/8.84 | e22) & (all_26_4 = e21 | all_26_5 = e21 | all_26_8 = e21 |
% 56.48/8.84 | all_26_14 = e21) & (all_26_4 = e20 | all_26_5 = e20 | all_26_8 =
% 56.48/8.84 | e20 | all_26_14 = e20) & (all_26_6 = e23 | all_26_7 = e23 |
% 56.48/8.84 | all_26_8 = e23 | all_26_11 = e23) & (all_26_6 = e22 | all_26_7 =
% 56.48/8.84 | e22 | all_26_8 = e22 | all_26_11 = e22) & (all_26_6 = e21 |
% 56.48/8.84 | all_26_7 = e21 | all_26_8 = e21 | all_26_11 = e21) & (all_26_6 =
% 56.48/8.84 | e20 | all_26_7 = e20 | all_26_8 = e20 | all_26_11 = e20) &
% 56.48/8.84 | (all_26_9 = e23 | all_26_10 = e23 | all_26_11 = e23 | all_26_15 =
% 56.48/8.84 | e23) & (all_26_9 = e22 | all_26_10 = e22 | all_26_11 = e22 |
% 56.48/8.84 | all_26_15 = e22) & (all_26_9 = e21 | all_26_10 = e21 | all_26_11 =
% 56.48/8.84 | e21 | all_26_15 = e21) & (all_26_12 = e23 | all_26_13 = e23 |
% 56.48/8.84 | all_26_14 = e23 | all_26_15 = e23) & (all_26_12 = e22 | all_26_13 =
% 56.48/8.84 | e22 | all_26_14 = e22 | all_26_15 = e22) & (all_26_12 = e21 |
% 56.48/8.84 | all_26_13 = e21 | all_26_14 = e21 | all_26_15 = e21) & (all_26_15 =
% 56.48/8.84 | e20 | ((all_26_9 = e20 | all_26_10 = e20 | all_26_11 = e20) &
% 56.48/8.84 | (all_26_12 = e20 | all_26_13 = e20 | all_26_14 = e20)))
% 56.48/8.84 |
% 56.48/8.84 | ALPHA: (353) implies:
% 56.48/8.85 | (354) op2(e20, e20) = all_26_15
% 56.48/8.85 | (355) op2(e20, e21) = all_26_14
% 56.48/8.85 | (356) op2(e20, e22) = all_26_13
% 56.48/8.85 | (357) op2(e20, e23) = all_26_12
% 56.48/8.85 | (358) op2(e21, e20) = all_26_11
% 56.48/8.85 | (359) op2(e21, e21) = all_26_8
% 56.48/8.85 | (360) op2(e21, e22) = all_26_7
% 56.48/8.85 | (361) op2(e21, e23) = all_26_6
% 56.48/8.85 | (362) op2(e22, e20) = all_26_10
% 56.48/8.85 | (363) op2(e22, e21) = all_26_5
% 56.48/8.85 | (364) op2(e22, e22) = all_26_3
% 56.48/8.85 | (365) op2(e22, e23) = all_26_2
% 56.48/8.85 | (366) op2(e23, e20) = all_26_9
% 56.48/8.85 | (367) op2(e23, e21) = all_26_4
% 56.48/8.85 | (368) op2(e23, e22) = all_26_1
% 56.48/8.85 | (369) op2(e23, e23) = all_26_0
% 56.48/8.85 | (370) all_26_15 = e20 | ((all_26_9 = e20 | all_26_10 = e20 | all_26_11 =
% 56.48/8.85 | e20) & (all_26_12 = e20 | all_26_13 = e20 | all_26_14 = e20))
% 56.48/8.85 | (371) all_26_12 = e23 | all_26_13 = e23 | all_26_14 = e23 | all_26_15 = e23
% 56.48/8.85 | (372) all_26_9 = e23 | all_26_10 = e23 | all_26_11 = e23 | all_26_15 = e23
% 56.48/8.85 | (373) all_26_6 = e20 | all_26_7 = e20 | all_26_8 = e20 | all_26_11 = e20
% 56.48/8.85 | (374) all_26_6 = e21 | all_26_7 = e21 | all_26_8 = e21 | all_26_11 = e21
% 56.48/8.85 | (375) all_26_6 = e22 | all_26_7 = e22 | all_26_8 = e22 | all_26_11 = e22
% 56.48/8.85 | (376) all_26_6 = e23 | all_26_7 = e23 | all_26_8 = e23 | all_26_11 = e23
% 56.48/8.85 | (377) all_26_4 = e20 | all_26_5 = e20 | all_26_8 = e20 | all_26_14 = e20
% 56.48/8.85 | (378) all_26_4 = e21 | all_26_5 = e21 | all_26_8 = e21 | all_26_14 = e21
% 56.48/8.85 | (379) all_26_4 = e22 | all_26_5 = e22 | all_26_8 = e22 | all_26_14 = e22
% 56.48/8.85 | (380) all_26_4 = e23 | all_26_5 = e23 | all_26_8 = e23 | all_26_14 = e23
% 56.48/8.85 | (381) all_26_2 = e20 | all_26_3 = e20 | all_26_5 = e20 | all_26_10 = e20
% 56.48/8.85 | (382) all_26_2 = e21 | all_26_3 = e21 | all_26_5 = e21 | all_26_10 = e21
% 56.48/8.85 | (383) all_26_2 = e23 | all_26_3 = e23 | all_26_5 = e23 | all_26_10 = e23
% 56.48/8.85 | (384) all_26_1 = e20 | all_26_3 = e20 | all_26_7 = e20 | all_26_13 = e20
% 56.48/8.85 | (385) all_26_1 = e21 | all_26_3 = e21 | all_26_7 = e21 | all_26_13 = e21
% 56.48/8.85 | (386) all_26_1 = e22 | all_26_3 = e22 | all_26_7 = e22 | all_26_13 = e22
% 56.48/8.85 | (387) all_26_0 = e21 | all_26_1 = e21 | all_26_4 = e21 | all_26_9 = e21
% 56.48/8.85 | (388) all_26_0 = e22 | all_26_1 = e22 | all_26_4 = e22 | all_26_9 = e22
% 56.48/8.85 | (389) all_26_0 = e23 | all_26_2 = e23 | all_26_6 = e23 | all_26_12 = e23
% 56.48/8.85 | (390) all_26_0 = e23 | all_26_1 = e23 | all_26_4 = e23 | all_26_9 = e23
% 56.48/8.85 |
% 56.48/8.85 | DELTA: instantiating (23) with fresh symbols all_28_0, all_28_1, all_28_2,
% 56.48/8.85 | all_28_3, all_28_4, all_28_5, all_28_6, all_28_7, all_28_8, all_28_9,
% 56.48/8.85 | all_28_10, all_28_11, all_28_12, all_28_13, all_28_14, all_28_15,
% 56.48/8.85 | all_28_16, all_28_17, all_28_18, all_28_19, all_28_20, all_28_21,
% 56.48/8.85 | all_28_22, all_28_23, all_28_24, all_28_25, all_28_26, all_28_27,
% 56.48/8.85 | all_28_28, all_28_29, all_28_30, all_28_31, all_28_32, all_28_33,
% 56.48/8.85 | all_28_34, all_28_35, all_28_36, all_28_37, all_28_38, all_28_39,
% 56.48/8.85 | all_28_40, all_28_41, all_28_42, all_28_43, all_28_44, all_28_45,
% 56.48/8.85 | all_28_46, all_28_47, all_28_48, all_28_49, all_28_50, all_28_51,
% 56.48/8.85 | all_28_52, all_28_53, all_28_54, all_28_55, all_28_56, all_28_57,
% 56.48/8.85 | all_28_58, all_28_59, all_28_60, all_28_61, all_28_62, all_28_63,
% 56.48/8.85 | all_28_64, all_28_65, all_28_66, all_28_67, all_28_68, all_28_69,
% 56.48/8.85 | all_28_70, all_28_71, all_28_72, all_28_73, all_28_74, all_28_75,
% 56.48/8.85 | all_28_76, all_28_77, all_28_78, all_28_79, all_28_80, all_28_81,
% 56.48/8.85 | all_28_82, all_28_83, all_28_84, all_28_85, all_28_86, all_28_87,
% 56.48/8.85 | all_28_88, all_28_89, all_28_90, all_28_91, all_28_92, all_28_93,
% 56.48/8.85 | all_28_94, all_28_95, all_28_96, all_28_97, all_28_98, all_28_99,
% 56.48/8.85 | all_28_100, all_28_101, all_28_102, all_28_103, all_28_104, all_28_105,
% 56.48/8.85 | all_28_106, all_28_107, all_28_108, all_28_109, all_28_110, all_28_111,
% 56.48/8.85 | all_28_112, all_28_113, all_28_114, all_28_115, all_28_116, all_28_117,
% 56.48/8.85 | all_28_118, all_28_119, all_28_120, all_28_121, all_28_122, all_28_123,
% 56.48/8.85 | all_28_124, all_28_125, all_28_126, all_28_127, all_28_128, all_28_129,
% 56.48/8.85 | all_28_130, all_28_131, all_28_132, all_28_133, all_28_134, all_28_135,
% 56.48/8.85 | all_28_136, all_28_137, all_28_138, all_28_139, all_28_140, all_28_141,
% 56.48/8.85 | all_28_142, all_28_143, all_28_144, all_28_145, all_28_146, all_28_147,
% 56.48/8.85 | all_28_148, all_28_149, all_28_150, all_28_151, all_28_152, all_28_153,
% 56.48/8.85 | all_28_154, all_28_155, all_28_156, all_28_157, all_28_158, all_28_159
% 56.48/8.85 | gives:
% 56.48/8.86 | (391) h4(all_28_110) = all_28_1 & h4(all_28_113) = all_28_3 &
% 56.48/8.86 | h4(all_28_116) = all_28_5 & h4(all_28_119) = all_28_7 &
% 56.48/8.86 | h4(all_28_122) = all_28_9 & h4(all_28_125) = all_28_11 &
% 56.48/8.86 | h4(all_28_128) = all_28_13 & h4(all_28_131) = all_28_15 &
% 56.48/8.86 | h4(all_28_134) = all_28_17 & h4(all_28_137) = all_28_19 &
% 56.48/8.86 | h4(all_28_140) = all_28_21 & h4(all_28_143) = all_28_23 &
% 56.48/8.86 | h4(all_28_147) = all_28_26 & h4(all_28_151) = all_28_29 &
% 56.48/8.86 | h4(all_28_155) = all_28_32 & h4(all_28_159) = all_28_35 & h4(e13) =
% 56.48/8.86 | all_28_25 & h4(e12) = all_28_28 & h4(e11) = all_28_31 & h4(e10) =
% 56.48/8.86 | all_28_34 & h3(all_28_110) = all_28_37 & h3(all_28_113) = all_28_39 &
% 56.48/8.86 | h3(all_28_116) = all_28_41 & h3(all_28_119) = all_28_43 &
% 56.48/8.86 | h3(all_28_122) = all_28_45 & h3(all_28_125) = all_28_47 &
% 56.48/8.86 | h3(all_28_128) = all_28_49 & h3(all_28_131) = all_28_51 &
% 56.48/8.86 | h3(all_28_134) = all_28_53 & h3(all_28_137) = all_28_55 &
% 56.48/8.86 | h3(all_28_140) = all_28_57 & h3(all_28_143) = all_28_59 &
% 56.48/8.86 | h3(all_28_147) = all_28_62 & h3(all_28_151) = all_28_65 &
% 56.48/8.86 | h3(all_28_155) = all_28_68 & h3(all_28_159) = all_28_71 & h3(e13) =
% 56.48/8.86 | all_28_61 & h3(e12) = all_28_64 & h3(e11) = all_28_67 & h3(e10) =
% 56.48/8.86 | all_28_70 & h2(all_28_110) = all_28_73 & h2(all_28_113) = all_28_75 &
% 56.48/8.86 | h2(all_28_116) = all_28_77 & h2(all_28_119) = all_28_79 &
% 56.48/8.86 | h2(all_28_122) = all_28_81 & h2(all_28_125) = all_28_83 &
% 56.48/8.86 | h2(all_28_128) = all_28_85 & h2(all_28_131) = all_28_87 &
% 56.48/8.86 | h2(all_28_134) = all_28_89 & h2(all_28_137) = all_28_91 &
% 56.48/8.86 | h2(all_28_140) = all_28_93 & h2(all_28_143) = all_28_95 &
% 56.48/8.86 | h2(all_28_147) = all_28_98 & h2(all_28_151) = all_28_101 &
% 56.48/8.86 | h2(all_28_155) = all_28_104 & h2(all_28_159) = all_28_107 & h2(e13) =
% 56.48/8.86 | all_28_97 & h2(e12) = all_28_100 & h2(e11) = all_28_103 & h2(e10) =
% 56.48/8.86 | all_28_106 & h1(all_28_110) = all_28_109 & h1(all_28_113) =
% 56.48/8.86 | all_28_112 & h1(all_28_116) = all_28_115 & h1(all_28_119) =
% 56.48/8.86 | all_28_118 & h1(all_28_122) = all_28_121 & h1(all_28_125) =
% 56.48/8.86 | all_28_124 & h1(all_28_128) = all_28_127 & h1(all_28_131) =
% 56.48/8.86 | all_28_130 & h1(all_28_134) = all_28_133 & h1(all_28_137) =
% 56.48/8.86 | all_28_136 & h1(all_28_140) = all_28_139 & h1(all_28_143) =
% 56.48/8.86 | all_28_142 & h1(all_28_147) = all_28_146 & h1(all_28_151) =
% 56.48/8.86 | all_28_150 & h1(all_28_155) = all_28_154 & h1(all_28_159) =
% 56.48/8.86 | all_28_158 & h1(e13) = all_28_145 & h1(e12) = all_28_149 & h1(e11) =
% 56.48/8.86 | all_28_153 & h1(e10) = all_28_157 & op2(all_28_25, all_28_25) =
% 56.48/8.86 | all_28_0 & op2(all_28_25, all_28_28) = all_28_2 & op2(all_28_25,
% 56.48/8.86 | all_28_31) = all_28_4 & op2(all_28_25, all_28_34) = all_28_6 &
% 56.48/8.86 | op2(all_28_28, all_28_25) = all_28_8 & op2(all_28_28, all_28_28) =
% 56.48/8.86 | all_28_10 & op2(all_28_28, all_28_31) = all_28_12 & op2(all_28_28,
% 56.48/8.86 | all_28_34) = all_28_14 & op2(all_28_31, all_28_25) = all_28_16 &
% 56.48/8.86 | op2(all_28_31, all_28_28) = all_28_18 & op2(all_28_31, all_28_31) =
% 56.48/8.86 | all_28_20 & op2(all_28_31, all_28_34) = all_28_22 & op2(all_28_34,
% 56.48/8.86 | all_28_25) = all_28_24 & op2(all_28_34, all_28_28) = all_28_27 &
% 56.48/8.86 | op2(all_28_34, all_28_31) = all_28_30 & op2(all_28_34, all_28_34) =
% 56.48/8.86 | all_28_33 & op2(all_28_61, all_28_61) = all_28_36 & op2(all_28_61,
% 56.48/8.86 | all_28_64) = all_28_38 & op2(all_28_61, all_28_67) = all_28_40 &
% 56.48/8.86 | op2(all_28_61, all_28_70) = all_28_42 & op2(all_28_64, all_28_61) =
% 56.48/8.86 | all_28_44 & op2(all_28_64, all_28_64) = all_28_46 & op2(all_28_64,
% 56.48/8.86 | all_28_67) = all_28_48 & op2(all_28_64, all_28_70) = all_28_50 &
% 56.48/8.86 | op2(all_28_67, all_28_61) = all_28_52 & op2(all_28_67, all_28_64) =
% 56.48/8.86 | all_28_54 & op2(all_28_67, all_28_67) = all_28_56 & op2(all_28_67,
% 56.48/8.86 | all_28_70) = all_28_58 & op2(all_28_70, all_28_61) = all_28_60 &
% 56.48/8.86 | op2(all_28_70, all_28_64) = all_28_63 & op2(all_28_70, all_28_67) =
% 56.48/8.86 | all_28_66 & op2(all_28_70, all_28_70) = all_28_69 & op2(all_28_97,
% 56.48/8.86 | all_28_97) = all_28_72 & op2(all_28_97, all_28_100) = all_28_74 &
% 56.48/8.86 | op2(all_28_97, all_28_103) = all_28_76 & op2(all_28_97, all_28_106) =
% 56.48/8.86 | all_28_78 & op2(all_28_100, all_28_97) = all_28_80 & op2(all_28_100,
% 56.48/8.86 | all_28_100) = all_28_82 & op2(all_28_100, all_28_103) = all_28_84 &
% 56.48/8.86 | op2(all_28_100, all_28_106) = all_28_86 & op2(all_28_103, all_28_97)
% 56.48/8.86 | = all_28_88 & op2(all_28_103, all_28_100) = all_28_90 &
% 56.48/8.86 | op2(all_28_103, all_28_103) = all_28_92 & op2(all_28_103, all_28_106)
% 56.48/8.86 | = all_28_94 & op2(all_28_106, all_28_97) = all_28_96 &
% 56.48/8.86 | op2(all_28_106, all_28_100) = all_28_99 & op2(all_28_106, all_28_103)
% 56.48/8.86 | = all_28_102 & op2(all_28_106, all_28_106) = all_28_105 &
% 56.48/8.86 | op2(all_28_145, all_28_145) = all_28_108 & op2(all_28_145,
% 56.48/8.86 | all_28_149) = all_28_111 & op2(all_28_145, all_28_153) = all_28_114
% 56.48/8.86 | & op2(all_28_145, all_28_157) = all_28_117 & op2(all_28_149,
% 56.48/8.86 | all_28_145) = all_28_120 & op2(all_28_149, all_28_149) = all_28_123
% 56.48/8.86 | & op2(all_28_149, all_28_153) = all_28_126 & op2(all_28_149,
% 56.48/8.86 | all_28_157) = all_28_129 & op2(all_28_153, all_28_145) = all_28_132
% 56.48/8.86 | & op2(all_28_153, all_28_149) = all_28_135 & op2(all_28_153,
% 56.48/8.86 | all_28_153) = all_28_138 & op2(all_28_153, all_28_157) = all_28_141
% 56.48/8.86 | & op2(all_28_157, all_28_145) = all_28_144 & op2(all_28_157,
% 56.48/8.86 | all_28_149) = all_28_148 & op2(all_28_157, all_28_153) = all_28_152
% 56.48/8.86 | & op2(all_28_157, all_28_157) = all_28_156 & op1(e13, e13) =
% 56.48/8.86 | all_28_110 & op1(e13, e12) = all_28_113 & op1(e13, e11) = all_28_116
% 56.48/8.86 | & op1(e13, e10) = all_28_119 & op1(e12, e13) = all_28_122 & op1(e12,
% 56.48/8.86 | e12) = all_28_125 & op1(e12, e11) = all_28_128 & op1(e12, e10) =
% 56.48/8.86 | all_28_131 & op1(e11, e13) = all_28_134 & op1(e11, e12) = all_28_137
% 56.48/8.86 | & op1(e11, e11) = all_28_140 & op1(e11, e10) = all_28_143 & op1(e10,
% 56.48/8.86 | e13) = all_28_147 & op1(e10, e12) = all_28_151 & op1(e10, e11) =
% 56.48/8.86 | all_28_155 & op1(e10, e10) = all_28_159 & $i(all_28_0) & $i(all_28_1)
% 56.48/8.86 | & $i(all_28_2) & $i(all_28_3) & $i(all_28_4) & $i(all_28_5) &
% 56.48/8.86 | $i(all_28_6) & $i(all_28_7) & $i(all_28_8) & $i(all_28_9) &
% 56.48/8.86 | $i(all_28_10) & $i(all_28_11) & $i(all_28_12) & $i(all_28_13) &
% 56.48/8.86 | $i(all_28_14) & $i(all_28_15) & $i(all_28_16) & $i(all_28_17) &
% 56.48/8.86 | $i(all_28_18) & $i(all_28_19) & $i(all_28_20) & $i(all_28_21) &
% 56.48/8.86 | $i(all_28_22) & $i(all_28_23) & $i(all_28_24) & $i(all_28_25) &
% 56.48/8.86 | $i(all_28_26) & $i(all_28_27) & $i(all_28_28) & $i(all_28_29) &
% 56.48/8.86 | $i(all_28_30) & $i(all_28_31) & $i(all_28_32) & $i(all_28_33) &
% 56.48/8.86 | $i(all_28_34) & $i(all_28_35) & $i(all_28_36) & $i(all_28_37) &
% 56.48/8.86 | $i(all_28_38) & $i(all_28_39) & $i(all_28_40) & $i(all_28_41) &
% 56.48/8.86 | $i(all_28_42) & $i(all_28_43) & $i(all_28_44) & $i(all_28_45) &
% 56.48/8.86 | $i(all_28_46) & $i(all_28_47) & $i(all_28_48) & $i(all_28_49) &
% 56.48/8.86 | $i(all_28_50) & $i(all_28_51) & $i(all_28_52) & $i(all_28_53) &
% 56.48/8.86 | $i(all_28_54) & $i(all_28_55) & $i(all_28_56) & $i(all_28_57) &
% 56.48/8.86 | $i(all_28_58) & $i(all_28_59) & $i(all_28_60) & $i(all_28_61) &
% 56.48/8.86 | $i(all_28_62) & $i(all_28_63) & $i(all_28_64) & $i(all_28_65) &
% 56.48/8.86 | $i(all_28_66) & $i(all_28_67) & $i(all_28_68) & $i(all_28_69) &
% 56.48/8.86 | $i(all_28_70) & $i(all_28_71) & $i(all_28_72) & $i(all_28_73) &
% 56.48/8.86 | $i(all_28_74) & $i(all_28_75) & $i(all_28_76) & $i(all_28_77) &
% 56.48/8.86 | $i(all_28_78) & $i(all_28_79) & $i(all_28_80) & $i(all_28_81) &
% 56.48/8.86 | $i(all_28_82) & $i(all_28_83) & $i(all_28_84) & $i(all_28_85) &
% 56.48/8.86 | $i(all_28_86) & $i(all_28_87) & $i(all_28_88) & $i(all_28_89) &
% 56.48/8.86 | $i(all_28_90) & $i(all_28_91) & $i(all_28_92) & $i(all_28_93) &
% 56.48/8.86 | $i(all_28_94) & $i(all_28_95) & $i(all_28_96) & $i(all_28_97) &
% 56.48/8.86 | $i(all_28_98) & $i(all_28_99) & $i(all_28_100) & $i(all_28_101) &
% 56.48/8.86 | $i(all_28_102) & $i(all_28_103) & $i(all_28_104) & $i(all_28_105) &
% 56.48/8.86 | $i(all_28_106) & $i(all_28_107) & $i(all_28_108) & $i(all_28_109) &
% 56.48/8.86 | $i(all_28_110) & $i(all_28_111) & $i(all_28_112) & $i(all_28_113) &
% 56.48/8.86 | $i(all_28_114) & $i(all_28_115) & $i(all_28_116) & $i(all_28_117) &
% 56.48/8.86 | $i(all_28_118) & $i(all_28_119) & $i(all_28_120) & $i(all_28_121) &
% 56.48/8.86 | $i(all_28_122) & $i(all_28_123) & $i(all_28_124) & $i(all_28_125) &
% 56.48/8.86 | $i(all_28_126) & $i(all_28_127) & $i(all_28_128) & $i(all_28_129) &
% 56.48/8.86 | $i(all_28_130) & $i(all_28_131) & $i(all_28_132) & $i(all_28_133) &
% 56.48/8.86 | $i(all_28_134) & $i(all_28_135) & $i(all_28_136) & $i(all_28_137) &
% 56.48/8.86 | $i(all_28_138) & $i(all_28_139) & $i(all_28_140) & $i(all_28_141) &
% 56.48/8.86 | $i(all_28_142) & $i(all_28_143) & $i(all_28_144) & $i(all_28_145) &
% 56.48/8.86 | $i(all_28_146) & $i(all_28_147) & $i(all_28_148) & $i(all_28_149) &
% 56.48/8.86 | $i(all_28_150) & $i(all_28_151) & $i(all_28_152) & $i(all_28_153) &
% 56.48/8.86 | $i(all_28_154) & $i(all_28_155) & $i(all_28_156) & $i(all_28_157) &
% 56.48/8.86 | $i(all_28_158) & $i(all_28_159) & ( ~ (all_28_0 = all_28_1) | ~
% 56.48/8.86 | (all_28_2 = all_28_3) | ~ (all_28_4 = all_28_5) | ~ (all_28_6 =
% 56.48/8.86 | all_28_7) | ~ (all_28_8 = all_28_9) | ~ (all_28_10 = all_28_11)
% 56.48/8.86 | | ~ (all_28_12 = all_28_13) | ~ (all_28_14 = all_28_15) | ~
% 56.48/8.86 | (all_28_16 = all_28_17) | ~ (all_28_18 = all_28_19) | ~
% 56.48/8.86 | (all_28_20 = all_28_21) | ~ (all_28_22 = all_28_23) | ~
% 56.48/8.86 | (all_28_24 = all_28_26) | ~ (all_28_27 = all_28_29) | ~
% 56.48/8.86 | (all_28_30 = all_28_32) | ~ (all_28_33 = all_28_35) | ( ~
% 56.48/8.86 | (all_28_25 = e23) & ~ (all_28_28 = e23) & ~ (all_28_31 = e23) &
% 56.48/8.86 | ~ (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & ~ (all_28_28 =
% 56.48/8.86 | e22) & ~ (all_28_31 = e22) & ~ (all_28_34 = e22)) | ( ~
% 56.48/8.86 | (all_28_25 = e21) & ~ (all_28_28 = e21) & ~ (all_28_31 = e21) &
% 56.48/8.86 | ~ (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~ (all_28_28 =
% 56.48/8.86 | e20) & ~ (all_28_31 = e20) & ~ (all_28_34 = e20))) & ( ~
% 56.48/8.86 | (all_28_36 = all_28_37) | ~ (all_28_38 = all_28_39) | ~
% 56.48/8.86 | (all_28_40 = all_28_41) | ~ (all_28_42 = all_28_43) | ~
% 56.48/8.86 | (all_28_44 = all_28_45) | ~ (all_28_46 = all_28_47) | ~
% 56.48/8.86 | (all_28_48 = all_28_49) | ~ (all_28_50 = all_28_51) | ~
% 56.48/8.86 | (all_28_52 = all_28_53) | ~ (all_28_54 = all_28_55) | ~
% 56.48/8.86 | (all_28_56 = all_28_57) | ~ (all_28_58 = all_28_59) | ~
% 56.48/8.86 | (all_28_60 = all_28_62) | ~ (all_28_63 = all_28_65) | ~
% 56.48/8.86 | (all_28_66 = all_28_68) | ~ (all_28_69 = all_28_71) | ( ~
% 56.48/8.86 | (all_28_61 = e23) & ~ (all_28_64 = e23) & ~ (all_28_67 = e23) &
% 56.48/8.86 | ~ (all_28_70 = e23)) | ( ~ (all_28_61 = e22) & ~ (all_28_64 =
% 56.48/8.86 | e22) & ~ (all_28_67 = e22) & ~ (all_28_70 = e22)) | ( ~
% 56.48/8.86 | (all_28_61 = e21) & ~ (all_28_64 = e21) & ~ (all_28_67 = e21) &
% 56.48/8.86 | ~ (all_28_70 = e21)) | ( ~ (all_28_61 = e20) & ~ (all_28_64 =
% 56.48/8.86 | e20) & ~ (all_28_67 = e20) & ~ (all_28_70 = e20))) & ( ~
% 56.48/8.86 | (all_28_72 = all_28_73) | ~ (all_28_74 = all_28_75) | ~
% 56.48/8.86 | (all_28_76 = all_28_77) | ~ (all_28_78 = all_28_79) | ~
% 56.48/8.86 | (all_28_80 = all_28_81) | ~ (all_28_82 = all_28_83) | ~
% 56.48/8.86 | (all_28_84 = all_28_85) | ~ (all_28_86 = all_28_87) | ~
% 56.48/8.86 | (all_28_88 = all_28_89) | ~ (all_28_90 = all_28_91) | ~
% 56.48/8.86 | (all_28_92 = all_28_93) | ~ (all_28_94 = all_28_95) | ~
% 56.48/8.86 | (all_28_96 = all_28_98) | ~ (all_28_99 = all_28_101) | ~
% 56.48/8.86 | (all_28_102 = all_28_104) | ~ (all_28_105 = all_28_107) | ( ~
% 56.48/8.86 | (all_28_97 = e23) & ~ (all_28_100 = e23) & ~ (all_28_103 = e23)
% 56.48/8.86 | & ~ (all_28_106 = e23)) | ( ~ (all_28_97 = e22) & ~ (all_28_100
% 56.48/8.86 | = e22) & ~ (all_28_103 = e22) & ~ (all_28_106 = e22)) | ( ~
% 56.48/8.86 | (all_28_97 = e21) & ~ (all_28_100 = e21) & ~ (all_28_103 = e21)
% 56.48/8.86 | & ~ (all_28_106 = e21)) | ( ~ (all_28_97 = e20) & ~ (all_28_100
% 56.48/8.86 | = e20) & ~ (all_28_103 = e20) & ~ (all_28_106 = e20))) & ( ~
% 56.48/8.86 | (all_28_108 = all_28_109) | ~ (all_28_111 = all_28_112) | ~
% 56.48/8.86 | (all_28_114 = all_28_115) | ~ (all_28_117 = all_28_118) | ~
% 56.48/8.86 | (all_28_120 = all_28_121) | ~ (all_28_123 = all_28_124) | ~
% 56.48/8.86 | (all_28_126 = all_28_127) | ~ (all_28_129 = all_28_130) | ~
% 56.48/8.86 | (all_28_132 = all_28_133) | ~ (all_28_135 = all_28_136) | ~
% 56.48/8.86 | (all_28_138 = all_28_139) | ~ (all_28_141 = all_28_142) | ~
% 56.48/8.86 | (all_28_144 = all_28_146) | ~ (all_28_148 = all_28_150) | ~
% 56.48/8.86 | (all_28_152 = all_28_154) | ~ (all_28_156 = all_28_158) | ( ~
% 56.48/8.86 | (all_28_145 = e23) & ~ (all_28_149 = e23) & ~ (all_28_153 =
% 56.48/8.86 | e23) & ~ (all_28_157 = e23)) | ( ~ (all_28_145 = e22) & ~
% 56.48/8.86 | (all_28_149 = e22) & ~ (all_28_153 = e22) & ~ (all_28_157 =
% 56.48/8.86 | e22)) | ( ~ (all_28_145 = e21) & ~ (all_28_149 = e21) & ~
% 56.48/8.86 | (all_28_153 = e21) & ~ (all_28_157 = e21)) | ( ~ (all_28_145 =
% 56.48/8.86 | e20) & ~ (all_28_149 = e20) & ~ (all_28_153 = e20) & ~
% 56.48/8.86 | (all_28_157 = e20)))
% 56.48/8.86 |
% 56.48/8.86 | ALPHA: (391) implies:
% 56.48/8.86 | (392) op1(e10, e10) = all_28_159
% 56.48/8.86 | (393) op1(e10, e11) = all_28_155
% 56.48/8.86 | (394) op1(e10, e12) = all_28_151
% 56.48/8.86 | (395) op1(e10, e13) = all_28_147
% 56.48/8.86 | (396) op1(e11, e10) = all_28_143
% 56.48/8.86 | (397) op1(e11, e11) = all_28_140
% 56.48/8.86 | (398) op1(e11, e12) = all_28_137
% 56.48/8.86 | (399) op1(e11, e13) = all_28_134
% 56.48/8.86 | (400) op1(e12, e10) = all_28_131
% 56.48/8.86 | (401) op1(e12, e11) = all_28_128
% 56.48/8.86 | (402) op1(e12, e12) = all_28_125
% 56.48/8.86 | (403) op1(e12, e13) = all_28_122
% 56.48/8.86 | (404) op1(e13, e10) = all_28_119
% 56.48/8.86 | (405) op1(e13, e11) = all_28_116
% 56.48/8.86 | (406) op1(e13, e12) = all_28_113
% 56.48/8.86 | (407) op1(e13, e13) = all_28_110
% 56.48/8.86 | (408) op2(all_28_157, all_28_157) = all_28_156
% 56.48/8.86 | (409) op2(all_28_157, all_28_145) = all_28_144
% 56.48/8.86 | (410) op2(all_28_153, all_28_157) = all_28_141
% 56.48/8.86 | (411) op2(all_28_153, all_28_153) = all_28_138
% 56.48/8.86 | (412) op2(all_28_149, all_28_157) = all_28_129
% 56.48/8.86 | (413) op2(all_28_149, all_28_153) = all_28_126
% 56.48/8.86 | (414) op2(all_28_145, all_28_157) = all_28_117
% 56.48/8.87 | (415) op2(all_28_145, all_28_153) = all_28_114
% 56.48/8.87 | (416) op2(all_28_145, all_28_145) = all_28_108
% 56.48/8.87 | (417) op2(all_28_106, all_28_106) = all_28_105
% 56.48/8.87 | (418) op2(all_28_106, all_28_97) = all_28_96
% 56.48/8.87 | (419) op2(all_28_97, all_28_97) = all_28_72
% 56.48/8.87 | (420) op2(all_28_70, all_28_70) = all_28_69
% 56.48/8.87 | (421) op2(all_28_70, all_28_61) = all_28_60
% 56.48/8.87 | (422) op2(all_28_67, all_28_64) = all_28_54
% 56.48/8.87 | (423) op2(all_28_64, all_28_70) = all_28_50
% 56.48/8.87 | (424) op2(all_28_61, all_28_70) = all_28_42
% 56.48/8.87 | (425) op2(all_28_61, all_28_61) = all_28_36
% 56.48/8.87 | (426) op2(all_28_34, all_28_34) = all_28_33
% 56.48/8.87 | (427) op2(all_28_34, all_28_31) = all_28_30
% 56.48/8.87 | (428) op2(all_28_34, all_28_28) = all_28_27
% 56.48/8.87 | (429) op2(all_28_34, all_28_25) = all_28_24
% 56.48/8.87 | (430) op2(all_28_31, all_28_34) = all_28_22
% 56.48/8.87 | (431) op2(all_28_31, all_28_31) = all_28_20
% 56.48/8.87 | (432) op2(all_28_31, all_28_28) = all_28_18
% 56.48/8.87 | (433) op2(all_28_31, all_28_25) = all_28_16
% 56.48/8.87 | (434) op2(all_28_28, all_28_34) = all_28_14
% 56.48/8.87 | (435) op2(all_28_28, all_28_31) = all_28_12
% 56.48/8.87 | (436) op2(all_28_28, all_28_28) = all_28_10
% 56.48/8.87 | (437) op2(all_28_28, all_28_25) = all_28_8
% 56.48/8.87 | (438) op2(all_28_25, all_28_34) = all_28_6
% 56.48/8.87 | (439) op2(all_28_25, all_28_31) = all_28_4
% 56.48/8.87 | (440) op2(all_28_25, all_28_28) = all_28_2
% 56.48/8.87 | (441) op2(all_28_25, all_28_25) = all_28_0
% 56.48/8.87 | (442) h1(e10) = all_28_157
% 56.48/8.87 | (443) h1(e11) = all_28_153
% 56.48/8.87 | (444) h1(e12) = all_28_149
% 56.48/8.87 | (445) h1(e13) = all_28_145
% 56.48/8.87 | (446) h2(e10) = all_28_106
% 56.48/8.87 | (447) h2(e13) = all_28_97
% 56.48/8.87 | (448) h3(e10) = all_28_70
% 56.48/8.87 | (449) h3(e11) = all_28_67
% 56.48/8.87 | (450) h3(e12) = all_28_64
% 56.48/8.87 | (451) h3(e13) = all_28_61
% 56.48/8.87 | (452) h4(e10) = all_28_34
% 56.48/8.87 | (453) h4(e11) = all_28_31
% 56.48/8.87 | (454) h4(e12) = all_28_28
% 56.48/8.87 | (455) h4(e13) = all_28_25
% 56.48/8.87 | (456) h4(all_28_159) = all_28_35
% 56.48/8.87 | (457) h4(all_28_155) = all_28_32
% 56.48/8.87 | (458) h4(all_28_151) = all_28_29
% 56.48/8.87 | (459) h4(all_28_147) = all_28_26
% 56.48/8.87 | (460) h4(all_28_143) = all_28_23
% 56.48/8.87 | (461) h4(all_28_140) = all_28_21
% 56.48/8.87 | (462) h4(all_28_137) = all_28_19
% 56.48/8.87 | (463) h4(all_28_134) = all_28_17
% 56.48/8.87 | (464) h4(all_28_131) = all_28_15
% 56.48/8.87 | (465) h4(all_28_128) = all_28_13
% 56.48/8.87 | (466) h4(all_28_125) = all_28_11
% 56.48/8.87 | (467) h4(all_28_122) = all_28_9
% 56.48/8.87 | (468) h4(all_28_119) = all_28_7
% 56.48/8.87 | (469) h4(all_28_116) = all_28_5
% 56.48/8.87 | (470) h4(all_28_113) = all_28_3
% 56.48/8.87 | (471) h4(all_28_110) = all_28_1
% 56.48/8.87 | (472) ~ (all_28_0 = all_28_1) | ~ (all_28_2 = all_28_3) | ~ (all_28_4 =
% 56.48/8.87 | all_28_5) | ~ (all_28_6 = all_28_7) | ~ (all_28_8 = all_28_9) |
% 56.48/8.87 | ~ (all_28_10 = all_28_11) | ~ (all_28_12 = all_28_13) | ~
% 56.48/8.87 | (all_28_14 = all_28_15) | ~ (all_28_16 = all_28_17) | ~ (all_28_18
% 56.48/8.87 | = all_28_19) | ~ (all_28_20 = all_28_21) | ~ (all_28_22 =
% 56.48/8.87 | all_28_23) | ~ (all_28_24 = all_28_26) | ~ (all_28_27 =
% 56.48/8.87 | all_28_29) | ~ (all_28_30 = all_28_32) | ~ (all_28_33 =
% 56.48/8.87 | all_28_35) | ( ~ (all_28_25 = e23) & ~ (all_28_28 = e23) & ~
% 56.48/8.87 | (all_28_31 = e23) & ~ (all_28_34 = e23)) | ( ~ (all_28_25 = e22) &
% 56.48/8.87 | ~ (all_28_28 = e22) & ~ (all_28_31 = e22) & ~ (all_28_34 = e22))
% 56.48/8.87 | | ( ~ (all_28_25 = e21) & ~ (all_28_28 = e21) & ~ (all_28_31 = e21)
% 56.48/8.87 | & ~ (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~ (all_28_28 =
% 56.48/8.87 | e20) & ~ (all_28_31 = e20) & ~ (all_28_34 = e20))
% 56.48/8.87 |
% 56.48/8.87 | GROUND_INST: instantiating (28) with all_12_15, all_16_15, e10, e10,
% 56.48/8.87 | simplifying with (108), (188) gives:
% 56.48/8.87 | (473) all_16_15 = all_12_15
% 56.48/8.87 |
% 56.48/8.87 | GROUND_INST: instantiating (28) with all_16_15, all_24_15, e10, e10,
% 56.48/8.87 | simplifying with (188), (322) gives:
% 56.48/8.87 | (474) all_24_15 = all_16_15
% 56.48/8.87 |
% 56.48/8.87 | GROUND_INST: instantiating (28) with e11, all_24_15, e10, e10, simplifying
% 56.48/8.87 | with (13), (322) gives:
% 56.48/8.87 | (475) all_24_15 = e11
% 56.48/8.87 |
% 56.48/8.87 | GROUND_INST: instantiating (28) with all_24_15, all_28_159, e10, e10,
% 56.48/8.87 | simplifying with (322), (392) gives:
% 56.48/8.87 | (476) all_28_159 = all_24_15
% 56.48/8.87 |
% 56.48/8.87 | GROUND_INST: instantiating (28) with all_20_31, all_28_159, e10, e10,
% 56.48/8.87 | simplifying with (246), (392) gives:
% 56.48/8.87 | (477) all_28_159 = all_20_31
% 56.48/8.87 |
% 56.48/8.87 | GROUND_INST: instantiating (28) with all_24_14, all_28_155, e11, e10,
% 56.48/8.87 | simplifying with (323), (393) gives:
% 56.48/8.87 | (478) all_28_155 = all_24_14
% 56.48/8.87 |
% 56.48/8.87 | GROUND_INST: instantiating (28) with all_20_23, all_28_155, e11, e10,
% 56.48/8.87 | simplifying with (247), (393) gives:
% 56.48/8.87 | (479) all_28_155 = all_20_23
% 56.48/8.87 |
% 56.48/8.87 | GROUND_INST: instantiating (28) with all_16_14, all_28_155, e11, e10,
% 56.48/8.87 | simplifying with (189), (393) gives:
% 56.48/8.87 | (480) all_28_155 = all_16_14
% 56.48/8.87 |
% 56.48/8.87 | GROUND_INST: instantiating (28) with all_12_11, all_28_155, e11, e10,
% 56.48/8.87 | simplifying with (109), (393) gives:
% 56.48/8.87 | (481) all_28_155 = all_12_11
% 56.48/8.87 |
% 56.48/8.87 | GROUND_INST: instantiating (28) with all_16_13, all_24_13, e12, e10,
% 56.48/8.87 | simplifying with (190), (324) gives:
% 56.48/8.87 | (482) all_24_13 = all_16_13
% 56.48/8.87 |
% 56.48/8.87 | GROUND_INST: instantiating (28) with all_12_7, all_24_13, e12, e10,
% 56.48/8.87 | simplifying with (110), (324) gives:
% 56.48/8.87 | (483) all_24_13 = all_12_7
% 56.48/8.87 |
% 56.48/8.87 | GROUND_INST: instantiating (28) with all_24_13, all_28_151, e12, e10,
% 56.48/8.87 | simplifying with (324), (394) gives:
% 56.48/8.87 | (484) all_28_151 = all_24_13
% 56.48/8.87 |
% 56.48/8.87 | GROUND_INST: instantiating (28) with all_20_15, all_28_151, e12, e10,
% 56.48/8.87 | simplifying with (248), (394) gives:
% 56.48/8.87 | (485) all_28_151 = all_20_15
% 56.48/8.87 |
% 56.48/8.87 | GROUND_INST: instantiating (28) with all_12_3, all_20_7, e13, e10, simplifying
% 56.48/8.87 | with (111), (249) gives:
% 56.48/8.87 | (486) all_20_7 = all_12_3
% 56.48/8.87 |
% 56.48/8.87 | GROUND_INST: instantiating (28) with e12, all_20_7, e13, e10, simplifying with
% 56.48/8.87 | (14), (249) gives:
% 56.48/8.87 | (487) all_20_7 = e12
% 56.48/8.87 |
% 56.48/8.87 | GROUND_INST: instantiating (28) with all_20_7, all_24_12, e13, e10,
% 56.48/8.87 | simplifying with (249), (325) gives:
% 56.48/8.87 | (488) all_24_12 = all_20_7
% 56.48/8.87 |
% 56.48/8.87 | GROUND_INST: instantiating (28) with all_24_12, all_28_147, e13, e10,
% 56.48/8.87 | simplifying with (325), (395) gives:
% 56.48/8.87 | (489) all_28_147 = all_24_12
% 56.48/8.87 |
% 56.48/8.87 | GROUND_INST: instantiating (28) with all_16_12, all_28_147, e13, e10,
% 56.48/8.87 | simplifying with (191), (395) gives:
% 56.48/8.87 | (490) all_28_147 = all_16_12
% 56.48/8.87 |
% 56.48/8.87 | GROUND_INST: instantiating (28) with all_16_11, all_20_29, e10, e11,
% 56.48/8.87 | simplifying with (192), (250) gives:
% 56.48/8.87 | (491) all_20_29 = all_16_11
% 56.48/8.87 |
% 56.48/8.87 | GROUND_INST: instantiating (28) with all_20_29, all_24_11, e10, e11,
% 56.48/8.87 | simplifying with (250), (326) gives:
% 56.48/8.87 | (492) all_24_11 = all_20_29
% 56.48/8.87 |
% 56.48/8.87 | GROUND_INST: instantiating (28) with all_24_11, all_28_143, e10, e11,
% 56.48/8.87 | simplifying with (326), (396) gives:
% 56.48/8.87 | (493) all_28_143 = all_24_11
% 56.48/8.87 |
% 56.48/8.88 | GROUND_INST: instantiating (28) with all_12_14, all_28_143, e10, e11,
% 56.48/8.88 | simplifying with (112), (396) gives:
% 56.48/8.88 | (494) all_28_143 = all_12_14
% 56.48/8.88 |
% 56.48/8.88 | GROUND_INST: instantiating (28) with all_16_10, all_24_8, e11, e11,
% 56.48/8.88 | simplifying with (193), (327) gives:
% 56.48/8.88 | (495) all_24_8 = all_16_10
% 56.48/8.88 |
% 56.48/8.88 | GROUND_INST: instantiating (28) with all_12_10, all_24_8, e11, e11,
% 56.48/8.88 | simplifying with (113), (327) gives:
% 56.48/8.88 | (496) all_24_8 = all_12_10
% 56.48/8.88 |
% 56.48/8.88 | GROUND_INST: instantiating (28) with all_24_8, all_28_140, e11, e11,
% 56.48/8.88 | simplifying with (327), (397) gives:
% 56.48/8.88 | (497) all_28_140 = all_24_8
% 56.48/8.88 |
% 56.48/8.88 | GROUND_INST: instantiating (28) with all_20_21, all_28_140, e11, e11,
% 56.48/8.88 | simplifying with (251), (397) gives:
% 56.48/8.88 | (498) all_28_140 = all_20_21
% 56.48/8.88 |
% 56.48/8.88 | GROUND_INST: instantiating (28) with all_12_6, all_24_7, e12, e11, simplifying
% 56.48/8.88 | with (114), (328) gives:
% 56.48/8.88 | (499) all_24_7 = all_12_6
% 56.48/8.88 |
% 56.48/8.88 | GROUND_INST: instantiating (28) with all_24_7, all_28_137, e12, e11,
% 56.48/8.88 | simplifying with (328), (398) gives:
% 56.48/8.88 | (500) all_28_137 = all_24_7
% 56.48/8.88 |
% 56.48/8.88 | GROUND_INST: instantiating (28) with all_20_13, all_28_137, e12, e11,
% 56.48/8.88 | simplifying with (252), (398) gives:
% 56.48/8.88 | (501) all_28_137 = all_20_13
% 56.48/8.88 |
% 56.48/8.88 | GROUND_INST: instantiating (28) with all_16_9, all_28_137, e12, e11,
% 56.48/8.88 | simplifying with (194), (398) gives:
% 56.48/8.88 | (502) all_28_137 = all_16_9
% 56.48/8.88 |
% 56.48/8.88 | GROUND_INST: instantiating (28) with all_16_8, all_20_5, e13, e11, simplifying
% 56.48/8.88 | with (195), (253) gives:
% 56.48/8.88 | (503) all_20_5 = all_16_8
% 56.48/8.88 |
% 56.48/8.88 | GROUND_INST: instantiating (28) with all_20_5, all_24_6, e13, e11, simplifying
% 56.48/8.88 | with (253), (329) gives:
% 56.48/8.88 | (504) all_24_6 = all_20_5
% 56.48/8.88 |
% 56.48/8.88 | GROUND_INST: instantiating (28) with all_24_6, all_28_134, e13, e11,
% 56.48/8.88 | simplifying with (329), (399) gives:
% 56.48/8.88 | (505) all_28_134 = all_24_6
% 56.48/8.88 |
% 56.48/8.88 | GROUND_INST: instantiating (28) with all_12_2, all_28_134, e13, e11,
% 56.48/8.88 | simplifying with (115), (399) gives:
% 56.48/8.88 | (506) all_28_134 = all_12_2
% 56.48/8.88 |
% 56.48/8.88 | GROUND_INST: instantiating (28) with all_20_27, all_24_10, e10, e12,
% 56.48/8.88 | simplifying with (254), (330) gives:
% 56.48/8.88 | (507) all_24_10 = all_20_27
% 56.48/8.88 |
% 56.48/8.88 | GROUND_INST: instantiating (28) with all_16_7, all_24_10, e10, e12,
% 56.48/8.88 | simplifying with (196), (330) gives:
% 56.48/8.88 | (508) all_24_10 = all_16_7
% 56.48/8.88 |
% 56.48/8.88 | GROUND_INST: instantiating (28) with all_24_10, all_28_131, e10, e12,
% 56.48/8.88 | simplifying with (330), (400) gives:
% 56.48/8.88 | (509) all_28_131 = all_24_10
% 56.48/8.88 |
% 56.48/8.88 | GROUND_INST: instantiating (28) with all_12_13, all_28_131, e10, e12,
% 56.48/8.88 | simplifying with (116), (400) gives:
% 56.48/8.88 | (510) all_28_131 = all_12_13
% 56.48/8.88 |
% 56.48/8.88 | GROUND_INST: instantiating (28) with all_12_9, all_24_5, e11, e12, simplifying
% 56.48/8.88 | with (117), (331) gives:
% 56.48/8.88 | (511) all_24_5 = all_12_9
% 56.48/8.88 |
% 56.48/8.88 | GROUND_INST: instantiating (28) with all_24_5, all_28_128, e11, e12,
% 56.48/8.88 | simplifying with (331), (401) gives:
% 56.48/8.88 | (512) all_28_128 = all_24_5
% 56.48/8.88 |
% 56.48/8.88 | GROUND_INST: instantiating (28) with all_20_19, all_28_128, e11, e12,
% 56.48/8.88 | simplifying with (255), (401) gives:
% 56.48/8.88 | (513) all_28_128 = all_20_19
% 56.48/8.88 |
% 56.48/8.88 | GROUND_INST: instantiating (28) with all_16_6, all_28_128, e11, e12,
% 56.48/8.88 | simplifying with (197), (401) gives:
% 56.48/8.88 | (514) all_28_128 = all_16_6
% 56.48/8.88 |
% 56.48/8.88 | GROUND_INST: instantiating (28) with all_16_5, all_20_11, e12, e12,
% 56.48/8.88 | simplifying with (198), (256) gives:
% 56.48/8.88 | (515) all_20_11 = all_16_5
% 56.48/8.88 |
% 56.48/8.88 | GROUND_INST: instantiating (28) with all_20_11, all_24_3, e12, e12,
% 56.48/8.88 | simplifying with (256), (332) gives:
% 56.48/8.88 | (516) all_24_3 = all_20_11
% 56.48/8.88 |
% 56.48/8.88 | GROUND_INST: instantiating (28) with all_24_3, all_28_125, e12, e12,
% 56.48/8.88 | simplifying with (332), (402) gives:
% 56.48/8.88 | (517) all_28_125 = all_24_3
% 56.48/8.88 |
% 56.48/8.88 | GROUND_INST: instantiating (28) with all_12_5, all_28_125, e12, e12,
% 56.48/8.88 | simplifying with (118), (402) gives:
% 56.48/8.88 | (518) all_28_125 = all_12_5
% 56.48/8.88 |
% 56.48/8.88 | GROUND_INST: instantiating (28) with all_16_4, all_24_2, e13, e12, simplifying
% 56.48/8.88 | with (199), (333) gives:
% 56.48/8.88 | (519) all_24_2 = all_16_4
% 56.48/8.88 |
% 56.48/8.88 | GROUND_INST: instantiating (28) with all_12_1, all_24_2, e13, e12, simplifying
% 56.48/8.88 | with (119), (333) gives:
% 56.48/8.88 | (520) all_24_2 = all_12_1
% 56.48/8.88 |
% 56.48/8.88 | GROUND_INST: instantiating (28) with all_24_2, all_28_122, e13, e12,
% 56.48/8.88 | simplifying with (333), (403) gives:
% 56.48/8.88 | (521) all_28_122 = all_24_2
% 56.48/8.88 |
% 56.48/8.88 | GROUND_INST: instantiating (28) with all_20_3, all_28_122, e13, e12,
% 56.48/8.88 | simplifying with (257), (403) gives:
% 56.48/8.88 | (522) all_28_122 = all_20_3
% 56.48/8.88 |
% 56.48/8.88 | GROUND_INST: instantiating (28) with all_16_3, all_20_25, e10, e13,
% 56.48/8.88 | simplifying with (200), (258) gives:
% 56.48/8.88 | (523) all_20_25 = all_16_3
% 56.48/8.88 |
% 56.48/8.88 | GROUND_INST: instantiating (28) with all_20_25, all_24_9, e10, e13,
% 56.48/8.88 | simplifying with (258), (334) gives:
% 56.48/8.88 | (524) all_24_9 = all_20_25
% 56.48/8.88 |
% 56.48/8.88 | GROUND_INST: instantiating (28) with all_24_9, all_28_119, e10, e13,
% 56.48/8.88 | simplifying with (334), (404) gives:
% 56.48/8.88 | (525) all_28_119 = all_24_9
% 56.48/8.88 |
% 56.48/8.88 | GROUND_INST: instantiating (28) with all_12_12, all_28_119, e10, e13,
% 56.48/8.88 | simplifying with (120), (404) gives:
% 56.48/8.88 | (526) all_28_119 = all_12_12
% 56.48/8.88 |
% 56.48/8.88 | GROUND_INST: instantiating (28) with all_16_2, all_24_4, e11, e13, simplifying
% 56.48/8.88 | with (201), (335) gives:
% 56.48/8.88 | (527) all_24_4 = all_16_2
% 56.48/8.88 |
% 56.48/8.88 | GROUND_INST: instantiating (28) with all_12_8, all_24_4, e11, e13, simplifying
% 56.48/8.88 | with (121), (335) gives:
% 56.48/8.88 | (528) all_24_4 = all_12_8
% 56.48/8.88 |
% 56.48/8.88 | GROUND_INST: instantiating (28) with all_24_4, all_28_116, e11, e13,
% 56.48/8.88 | simplifying with (335), (405) gives:
% 56.48/8.88 | (529) all_28_116 = all_24_4
% 56.48/8.88 |
% 56.48/8.88 | GROUND_INST: instantiating (28) with all_20_17, all_28_116, e11, e13,
% 56.48/8.88 | simplifying with (259), (405) gives:
% 56.48/8.88 | (530) all_28_116 = all_20_17
% 56.48/8.88 |
% 56.48/8.88 | GROUND_INST: instantiating (28) with all_16_1, all_20_9, e12, e13, simplifying
% 56.48/8.88 | with (202), (260) gives:
% 56.48/8.88 | (531) all_20_9 = all_16_1
% 56.48/8.88 |
% 56.48/8.88 | GROUND_INST: instantiating (28) with all_20_9, all_24_1, e12, e13, simplifying
% 56.48/8.88 | with (260), (336) gives:
% 56.48/8.88 | (532) all_24_1 = all_20_9
% 56.48/8.88 |
% 56.48/8.88 | GROUND_INST: instantiating (28) with all_24_1, all_28_113, e12, e13,
% 56.48/8.88 | simplifying with (336), (406) gives:
% 56.48/8.88 | (533) all_28_113 = all_24_1
% 56.48/8.88 |
% 56.48/8.88 | GROUND_INST: instantiating (28) with all_12_4, all_28_113, e12, e13,
% 56.48/8.88 | simplifying with (122), (406) gives:
% 56.48/8.88 | (534) all_28_113 = all_12_4
% 56.48/8.88 |
% 56.48/8.88 | GROUND_INST: instantiating (28) with all_16_0, all_20_1, e13, e13, simplifying
% 56.48/8.88 | with (203), (261) gives:
% 56.48/8.88 | (535) all_20_1 = all_16_0
% 56.48/8.88 |
% 56.48/8.88 | GROUND_INST: instantiating (28) with all_12_0, all_20_1, e13, e13, simplifying
% 56.48/8.88 | with (123), (261) gives:
% 56.48/8.88 | (536) all_20_1 = all_12_0
% 56.48/8.88 |
% 56.48/8.88 | GROUND_INST: instantiating (28) with all_20_1, all_24_0, e13, e13, simplifying
% 56.48/8.88 | with (261), (337) gives:
% 56.48/8.88 | (537) all_24_0 = all_20_1
% 56.48/8.88 |
% 56.48/8.88 | GROUND_INST: instantiating (28) with all_24_0, all_28_110, e13, e13,
% 56.48/8.88 | simplifying with (337), (407) gives:
% 56.48/8.88 | (538) all_28_110 = all_24_0
% 56.48/8.88 |
% 56.48/8.88 | GROUND_INST: instantiating (28) with e10, all_28_110, e13, e13, simplifying
% 56.48/8.88 | with (15), (407) gives:
% 56.48/8.88 | (539) all_28_110 = e10
% 56.48/8.88 |
% 56.48/8.88 | GROUND_INST: instantiating (29) with all_18_15, all_22_31, e20, e20,
% 56.48/8.88 | simplifying with (216), (284) gives:
% 56.48/8.88 | (540) all_22_31 = all_18_15
% 56.48/8.88 |
% 56.48/8.88 | GROUND_INST: instantiating (29) with all_10_2, all_22_31, e20, e20,
% 56.48/8.88 | simplifying with (53), (284) gives:
% 56.48/8.88 | (541) all_22_31 = all_10_2
% 56.48/8.88 |
% 56.48/8.88 | GROUND_INST: instantiating (29) with all_18_15, all_26_15, e20, e20,
% 56.48/8.88 | simplifying with (216), (354) gives:
% 56.48/8.88 | (542) all_26_15 = all_18_15
% 56.48/8.88 |
% 56.48/8.88 | GROUND_INST: instantiating (29) with all_14_15, all_26_15, e20, e20,
% 56.48/8.88 | simplifying with (171), (354) gives:
% 56.48/8.88 | (543) all_26_15 = all_14_15
% 56.48/8.88 |
% 56.48/8.88 | GROUND_INST: instantiating (29) with e21, all_26_15, e20, e20, simplifying
% 56.48/8.88 | with (16), (354) gives:
% 56.48/8.88 | (544) all_26_15 = e21
% 56.48/8.88 |
% 56.48/8.88 | GROUND_INST: instantiating (29) with all_18_14, all_22_23, e21, e20,
% 56.48/8.88 | simplifying with (217), (285) gives:
% 56.48/8.88 | (545) all_22_23 = all_18_14
% 56.48/8.88 |
% 56.48/8.88 | GROUND_INST: instantiating (29) with all_22_23, all_26_14, e21, e20,
% 56.48/8.88 | simplifying with (285), (355) gives:
% 56.48/8.88 | (546) all_26_14 = all_22_23
% 56.48/8.88 |
% 56.48/8.88 | GROUND_INST: instantiating (29) with all_14_11, all_26_14, e21, e20,
% 56.48/8.89 | simplifying with (172), (355) gives:
% 56.48/8.89 | (547) all_26_14 = all_14_11
% 56.48/8.89 |
% 56.48/8.89 | GROUND_INST: instantiating (29) with all_18_13, all_22_15, e22, e20,
% 56.48/8.89 | simplifying with (218), (286) gives:
% 56.48/8.89 | (548) all_22_15 = all_18_13
% 56.48/8.89 |
% 56.48/8.89 | GROUND_INST: instantiating (29) with all_22_15, all_26_13, e22, e20,
% 56.48/8.89 | simplifying with (286), (356) gives:
% 56.48/8.89 | (549) all_26_13 = all_22_15
% 56.48/8.89 |
% 56.48/8.89 | GROUND_INST: instantiating (29) with all_14_7, all_26_13, e22, e20,
% 56.48/8.89 | simplifying with (173), (356) gives:
% 56.48/8.89 | (550) all_26_13 = all_14_7
% 56.48/8.89 |
% 56.48/8.89 | GROUND_INST: instantiating (29) with all_14_3, all_22_7, e23, e20, simplifying
% 56.48/8.89 | with (174), (287) gives:
% 56.48/8.89 | (551) all_22_7 = all_14_3
% 56.48/8.89 |
% 56.48/8.89 | GROUND_INST: instantiating (29) with e22, all_22_7, e23, e20, simplifying with
% 56.48/8.89 | (17), (287) gives:
% 56.48/8.89 | (552) all_22_7 = e22
% 56.48/8.89 |
% 56.48/8.89 | GROUND_INST: instantiating (29) with all_22_7, all_26_12, e23, e20,
% 56.48/8.89 | simplifying with (287), (357) gives:
% 56.48/8.89 | (553) all_26_12 = all_22_7
% 56.48/8.89 |
% 56.48/8.89 | GROUND_INST: instantiating (29) with all_18_12, all_26_12, e23, e20,
% 56.48/8.89 | simplifying with (219), (357) gives:
% 56.48/8.89 | (554) all_26_12 = all_18_12
% 56.48/8.89 |
% 56.48/8.89 | GROUND_INST: instantiating (29) with all_18_11, all_22_29, e20, e21,
% 56.48/8.89 | simplifying with (220), (288) gives:
% 56.48/8.89 | (555) all_22_29 = all_18_11
% 56.48/8.89 |
% 56.48/8.89 | GROUND_INST: instantiating (29) with all_22_29, all_26_11, e20, e21,
% 56.48/8.89 | simplifying with (288), (358) gives:
% 56.48/8.89 | (556) all_26_11 = all_22_29
% 56.48/8.89 |
% 56.48/8.89 | GROUND_INST: instantiating (29) with all_14_14, all_26_11, e20, e21,
% 56.48/8.89 | simplifying with (175), (358) gives:
% 56.48/8.89 | (557) all_26_11 = all_14_14
% 56.48/8.89 |
% 56.48/8.90 | GROUND_INST: instantiating (29) with all_14_10, all_18_10, e21, e21,
% 56.48/8.90 | simplifying with (176), (221) gives:
% 56.48/8.90 | (558) all_18_10 = all_14_10
% 56.48/8.90 |
% 56.48/8.90 | GROUND_INST: instantiating (29) with all_18_10, all_22_21, e21, e21,
% 56.48/8.90 | simplifying with (221), (289) gives:
% 56.48/8.90 | (559) all_22_21 = all_18_10
% 56.48/8.90 |
% 56.48/8.90 | GROUND_INST: instantiating (29) with all_22_21, all_26_8, e21, e21,
% 56.48/8.90 | simplifying with (289), (359) gives:
% 56.48/8.90 | (560) all_26_8 = all_22_21
% 56.48/8.90 |
% 56.48/8.90 | GROUND_INST: instantiating (29) with all_4_2, all_26_8, e21, e21, simplifying
% 56.48/8.90 | with (31), (359) gives:
% 56.48/8.90 | (561) all_26_8 = all_4_2
% 56.48/8.90 |
% 56.48/8.90 | GROUND_INST: instantiating (29) with all_18_9, all_22_13, e22, e21,
% 56.48/8.90 | simplifying with (222), (290) gives:
% 56.48/8.90 | (562) all_22_13 = all_18_9
% 56.48/8.90 |
% 56.48/8.90 | GROUND_INST: instantiating (29) with all_22_13, all_26_7, e22, e21,
% 56.48/8.90 | simplifying with (290), (360) gives:
% 56.48/8.90 | (563) all_26_7 = all_22_13
% 56.48/8.90 |
% 56.48/8.90 | GROUND_INST: instantiating (29) with all_14_6, all_26_7, e22, e21, simplifying
% 56.48/8.90 | with (177), (360) gives:
% 56.48/8.90 | (564) all_26_7 = all_14_6
% 56.48/8.90 |
% 56.48/8.90 | GROUND_INST: instantiating (29) with all_18_8, all_22_5, e23, e21, simplifying
% 56.48/8.90 | with (223), (291) gives:
% 56.48/8.90 | (565) all_22_5 = all_18_8
% 56.48/8.90 |
% 56.48/8.90 | GROUND_INST: instantiating (29) with all_22_5, all_26_6, e23, e21, simplifying
% 56.48/8.90 | with (291), (361) gives:
% 56.48/8.90 | (566) all_26_6 = all_22_5
% 56.48/8.90 |
% 56.48/8.90 | GROUND_INST: instantiating (29) with all_14_2, all_26_6, e23, e21, simplifying
% 56.48/8.90 | with (178), (361) gives:
% 56.48/8.90 | (567) all_26_6 = all_14_2
% 56.48/8.90 |
% 56.48/8.90 | GROUND_INST: instantiating (29) with all_22_27, all_26_10, e20, e22,
% 56.48/8.90 | simplifying with (292), (362) gives:
% 56.48/8.90 | (568) all_26_10 = all_22_27
% 56.48/8.90 |
% 56.48/8.90 | GROUND_INST: instantiating (29) with all_18_7, all_26_10, e20, e22,
% 56.48/8.90 | simplifying with (224), (362) gives:
% 56.48/8.90 | (569) all_26_10 = all_18_7
% 56.48/8.90 |
% 56.48/8.90 | GROUND_INST: instantiating (29) with all_14_13, all_26_10, e20, e22,
% 56.48/8.90 | simplifying with (179), (362) gives:
% 56.48/8.90 | (570) all_26_10 = all_14_13
% 56.48/8.90 |
% 56.48/8.90 | GROUND_INST: instantiating (29) with all_18_6, all_22_19, e21, e22,
% 56.48/8.90 | simplifying with (225), (293) gives:
% 56.48/8.90 | (571) all_22_19 = all_18_6
% 56.48/8.90 |
% 56.48/8.90 | GROUND_INST: instantiating (29) with all_22_19, all_26_5, e21, e22,
% 56.48/8.90 | simplifying with (293), (363) gives:
% 56.48/8.90 | (572) all_26_5 = all_22_19
% 56.48/8.90 |
% 56.48/8.90 | GROUND_INST: instantiating (29) with all_14_9, all_26_5, e21, e22, simplifying
% 56.48/8.90 | with (180), (363) gives:
% 56.48/8.90 | (573) all_26_5 = all_14_9
% 56.48/8.90 |
% 56.48/8.90 | GROUND_INST: instantiating (29) with all_14_5, all_22_11, e22, e22,
% 56.48/8.90 | simplifying with (181), (294) gives:
% 56.48/8.90 | (574) all_22_11 = all_14_5
% 56.48/8.90 |
% 56.48/8.90 | GROUND_INST: instantiating (29) with all_6_2, all_22_11, e22, e22, simplifying
% 56.48/8.90 | with (37), (294) gives:
% 56.48/8.90 | (575) all_22_11 = all_6_2
% 56.48/8.90 |
% 56.48/8.90 | GROUND_INST: instantiating (29) with all_22_11, all_26_3, e22, e22,
% 56.48/8.90 | simplifying with (294), (364) gives:
% 56.48/8.90 | (576) all_26_3 = all_22_11
% 56.48/8.90 |
% 56.48/8.90 | GROUND_INST: instantiating (29) with all_18_5, all_26_3, e22, e22, simplifying
% 56.48/8.90 | with (226), (364) gives:
% 56.48/8.90 | (577) all_26_3 = all_18_5
% 56.48/8.90 |
% 56.48/8.90 | GROUND_INST: instantiating (29) with all_18_4, all_22_3, e23, e22, simplifying
% 56.48/8.90 | with (227), (295) gives:
% 56.48/8.90 | (578) all_22_3 = all_18_4
% 56.48/8.90 |
% 56.48/8.90 | GROUND_INST: instantiating (29) with all_22_3, all_26_2, e23, e22, simplifying
% 56.48/8.90 | with (295), (365) gives:
% 56.48/8.90 | (579) all_26_2 = all_22_3
% 56.48/8.90 |
% 56.48/8.90 | GROUND_INST: instantiating (29) with all_14_1, all_26_2, e23, e22, simplifying
% 56.48/8.90 | with (182), (365) gives:
% 56.48/8.90 | (580) all_26_2 = all_14_1
% 56.48/8.90 |
% 56.48/8.90 | GROUND_INST: instantiating (29) with all_22_25, all_26_9, e20, e23,
% 56.48/8.90 | simplifying with (296), (366) gives:
% 56.48/8.90 | (581) all_26_9 = all_22_25
% 56.48/8.90 |
% 56.48/8.90 | GROUND_INST: instantiating (29) with all_18_3, all_26_9, e20, e23, simplifying
% 56.48/8.90 | with (228), (366) gives:
% 56.48/8.90 | (582) all_26_9 = all_18_3
% 56.48/8.90 |
% 56.87/8.90 | GROUND_INST: instantiating (29) with all_14_12, all_26_9, e20, e23,
% 56.87/8.90 | simplifying with (183), (366) gives:
% 56.87/8.90 | (583) all_26_9 = all_14_12
% 56.87/8.90 |
% 56.87/8.90 | GROUND_INST: instantiating (29) with all_14_8, all_22_17, e21, e23,
% 56.87/8.90 | simplifying with (184), (297) gives:
% 56.87/8.90 | (584) all_22_17 = all_14_8
% 56.87/8.90 |
% 56.87/8.90 | GROUND_INST: instantiating (29) with all_22_17, all_26_4, e21, e23,
% 56.87/8.90 | simplifying with (297), (367) gives:
% 56.87/8.90 | (585) all_26_4 = all_22_17
% 56.87/8.90 |
% 56.87/8.90 | GROUND_INST: instantiating (29) with all_18_2, all_26_4, e21, e23, simplifying
% 56.87/8.90 | with (229), (367) gives:
% 56.87/8.90 | (586) all_26_4 = all_18_2
% 56.87/8.90 |
% 56.87/8.90 | GROUND_INST: instantiating (29) with all_18_1, all_22_9, e22, e23, simplifying
% 56.87/8.90 | with (230), (298) gives:
% 56.87/8.90 | (587) all_22_9 = all_18_1
% 56.87/8.90 |
% 56.87/8.90 | GROUND_INST: instantiating (29) with all_22_9, all_26_1, e22, e23, simplifying
% 56.87/8.90 | with (298), (368) gives:
% 56.87/8.90 | (588) all_26_1 = all_22_9
% 56.87/8.90 |
% 56.87/8.90 | GROUND_INST: instantiating (29) with all_14_4, all_26_1, e22, e23, simplifying
% 56.87/8.90 | with (185), (368) gives:
% 56.87/8.90 | (589) all_26_1 = all_14_4
% 56.87/8.90 |
% 56.87/8.90 | GROUND_INST: instantiating (29) with all_8_2, all_14_0, e23, e23, simplifying
% 56.87/8.90 | with (45), (186) gives:
% 56.87/8.90 | (590) all_14_0 = all_8_2
% 56.87/8.90 |
% 56.87/8.90 | GROUND_INST: instantiating (29) with all_14_0, all_18_0, e23, e23, simplifying
% 56.87/8.90 | with (186), (231) gives:
% 56.87/8.90 | (591) all_18_0 = all_14_0
% 56.87/8.90 |
% 56.87/8.90 | GROUND_INST: instantiating (29) with all_22_1, all_26_0, e23, e23, simplifying
% 56.87/8.90 | with (299), (369) gives:
% 56.87/8.90 | (592) all_26_0 = all_22_1
% 56.87/8.90 |
% 56.87/8.90 | GROUND_INST: instantiating (29) with all_18_0, all_26_0, e23, e23, simplifying
% 56.87/8.90 | with (231), (369) gives:
% 56.87/8.90 | (593) all_26_0 = all_18_0
% 56.87/8.90 |
% 56.87/8.90 | GROUND_INST: instantiating (29) with e20, all_26_0, e23, e23, simplifying with
% 56.87/8.90 | (18), (369) gives:
% 56.87/8.90 | (594) all_26_0 = e20
% 56.87/8.90 |
% 56.87/8.90 | GROUND_INST: instantiating (24) with all_10_2, all_28_157, e10, simplifying
% 56.87/8.90 | with (56), (442) gives:
% 56.87/8.90 | (595) all_28_157 = all_10_2
% 56.87/8.90 |
% 56.87/8.90 | GROUND_INST: instantiating (24) with all_10_1, all_28_153, e11, simplifying
% 56.87/8.90 | with (57), (443) gives:
% 56.87/8.90 | (596) all_28_153 = all_10_1
% 56.87/8.90 |
% 56.87/8.90 | GROUND_INST: instantiating (24) with all_10_0, all_28_149, e12, simplifying
% 56.87/8.90 | with (58), (444) gives:
% 56.87/8.90 | (597) all_28_149 = all_10_0
% 56.87/8.90 |
% 56.87/8.90 | GROUND_INST: instantiating (24) with e20, all_28_145, e13, simplifying with
% 56.87/8.90 | (59), (445) gives:
% 56.87/8.90 | (598) all_28_145 = e20
% 56.87/8.90 |
% 56.87/8.90 | GROUND_INST: instantiating (25) with all_4_2, all_28_106, e10, simplifying
% 56.87/8.90 | with (34), (446) gives:
% 56.87/8.90 | (599) all_28_106 = all_4_2
% 56.87/8.90 |
% 56.87/8.90 | GROUND_INST: instantiating (25) with e21, all_28_97, e13, simplifying with
% 56.87/8.90 | (35), (447) gives:
% 56.87/8.90 | (600) all_28_97 = e21
% 56.87/8.90 |
% 56.87/8.90 | GROUND_INST: instantiating (26) with all_6_2, all_28_70, e10, simplifying with
% 56.87/8.90 | (40), (448) gives:
% 56.87/8.90 | (601) all_28_70 = all_6_2
% 56.87/8.90 |
% 56.87/8.90 | GROUND_INST: instantiating (26) with all_6_1, all_28_67, e11, simplifying with
% 56.87/8.90 | (41), (449) gives:
% 56.87/8.90 | (602) all_28_67 = all_6_1
% 56.87/8.90 |
% 56.87/8.90 | GROUND_INST: instantiating (26) with all_6_0, all_28_64, e12, simplifying with
% 56.87/8.90 | (42), (450) gives:
% 56.87/8.90 | (603) all_28_64 = all_6_0
% 56.87/8.90 |
% 56.87/8.90 | GROUND_INST: instantiating (26) with e22, all_28_61, e13, simplifying with
% 56.87/8.90 | (43), (451) gives:
% 56.87/8.90 | (604) all_28_61 = e22
% 56.87/8.90 |
% 56.87/8.90 | GROUND_INST: instantiating (27) with all_8_2, all_28_34, e10, simplifying with
% 56.87/8.90 | (48), (452) gives:
% 56.87/8.90 | (605) all_28_34 = all_8_2
% 56.87/8.90 |
% 56.87/8.90 | GROUND_INST: instantiating (27) with all_8_1, all_28_31, e11, simplifying with
% 56.87/8.90 | (49), (453) gives:
% 56.87/8.90 | (606) all_28_31 = all_8_1
% 56.87/8.90 |
% 56.87/8.90 | GROUND_INST: instantiating (27) with all_8_0, all_28_28, e12, simplifying with
% 56.87/8.90 | (50), (454) gives:
% 56.87/8.90 | (607) all_28_28 = all_8_0
% 56.87/8.90 |
% 56.87/8.90 | GROUND_INST: instantiating (27) with e23, all_28_25, e13, simplifying with
% 56.87/8.90 | (51), (455) gives:
% 56.87/8.90 | (608) all_28_25 = e23
% 56.87/8.90 |
% 56.87/8.90 | COMBINE_EQS: (538), (539) imply:
% 56.87/8.90 | (609) all_24_0 = e10
% 56.87/8.90 |
% 56.87/8.90 | SIMP: (609) implies:
% 56.87/8.90 | (610) all_24_0 = e10
% 56.87/8.90 |
% 56.87/8.90 | COMBINE_EQS: (533), (534) imply:
% 56.87/8.90 | (611) all_24_1 = all_12_4
% 56.87/8.90 |
% 56.87/8.90 | SIMP: (611) implies:
% 56.87/8.90 | (612) all_24_1 = all_12_4
% 56.87/8.90 |
% 56.87/8.90 | COMBINE_EQS: (529), (530) imply:
% 56.87/8.90 | (613) all_24_4 = all_20_17
% 56.87/8.90 |
% 56.87/8.90 | SIMP: (613) implies:
% 56.87/8.90 | (614) all_24_4 = all_20_17
% 56.87/8.90 |
% 56.87/8.91 | COMBINE_EQS: (525), (526) imply:
% 56.87/8.91 | (615) all_24_9 = all_12_12
% 56.87/8.91 |
% 56.87/8.91 | SIMP: (615) implies:
% 56.87/8.91 | (616) all_24_9 = all_12_12
% 56.87/8.91 |
% 56.87/8.91 | COMBINE_EQS: (521), (522) imply:
% 56.87/8.91 | (617) all_24_2 = all_20_3
% 56.87/8.91 |
% 56.87/8.91 | SIMP: (617) implies:
% 56.87/8.91 | (618) all_24_2 = all_20_3
% 56.87/8.91 |
% 56.87/8.91 | COMBINE_EQS: (517), (518) imply:
% 56.87/8.91 | (619) all_24_3 = all_12_5
% 56.87/8.91 |
% 56.87/8.91 | SIMP: (619) implies:
% 56.87/8.91 | (620) all_24_3 = all_12_5
% 56.87/8.91 |
% 56.87/8.91 | COMBINE_EQS: (512), (513) imply:
% 56.87/8.91 | (621) all_24_5 = all_20_19
% 56.87/8.91 |
% 56.87/8.91 | SIMP: (621) implies:
% 56.87/8.91 | (622) all_24_5 = all_20_19
% 56.87/8.91 |
% 56.87/8.91 | COMBINE_EQS: (513), (514) imply:
% 56.87/8.91 | (623) all_20_19 = all_16_6
% 56.87/8.91 |
% 56.87/8.91 | COMBINE_EQS: (509), (510) imply:
% 56.87/8.91 | (624) all_24_10 = all_12_13
% 56.87/8.91 |
% 56.87/8.91 | SIMP: (624) implies:
% 56.87/8.91 | (625) all_24_10 = all_12_13
% 56.87/8.91 |
% 56.87/8.91 | COMBINE_EQS: (505), (506) imply:
% 56.87/8.91 | (626) all_24_6 = all_12_2
% 56.87/8.91 |
% 56.87/8.91 | SIMP: (626) implies:
% 56.87/8.91 | (627) all_24_6 = all_12_2
% 56.87/8.91 |
% 56.87/8.91 | COMBINE_EQS: (500), (501) imply:
% 56.87/8.91 | (628) all_24_7 = all_20_13
% 56.87/8.91 |
% 56.87/8.91 | SIMP: (628) implies:
% 56.87/8.91 | (629) all_24_7 = all_20_13
% 56.87/8.91 |
% 56.87/8.91 | COMBINE_EQS: (501), (502) imply:
% 56.87/8.91 | (630) all_20_13 = all_16_9
% 56.87/8.91 |
% 56.87/8.91 | COMBINE_EQS: (497), (498) imply:
% 56.87/8.91 | (631) all_24_8 = all_20_21
% 56.87/8.91 |
% 56.87/8.91 | SIMP: (631) implies:
% 56.87/8.91 | (632) all_24_8 = all_20_21
% 56.87/8.91 |
% 56.87/8.91 | COMBINE_EQS: (493), (494) imply:
% 56.87/8.91 | (633) all_24_11 = all_12_14
% 56.87/8.91 |
% 56.87/8.91 | SIMP: (633) implies:
% 56.87/8.91 | (634) all_24_11 = all_12_14
% 56.87/8.91 |
% 56.87/8.91 | COMBINE_EQS: (489), (490) imply:
% 56.87/8.91 | (635) all_24_12 = all_16_12
% 56.87/8.91 |
% 56.87/8.91 | SIMP: (635) implies:
% 56.87/8.91 | (636) all_24_12 = all_16_12
% 56.87/8.91 |
% 56.87/8.91 | COMBINE_EQS: (484), (485) imply:
% 56.87/8.91 | (637) all_24_13 = all_20_15
% 56.87/8.91 |
% 56.87/8.91 | SIMP: (637) implies:
% 56.87/8.91 | (638) all_24_13 = all_20_15
% 56.87/8.91 |
% 56.87/8.91 | COMBINE_EQS: (478), (481) imply:
% 56.87/8.91 | (639) all_24_14 = all_12_11
% 56.87/8.91 |
% 56.87/8.91 | COMBINE_EQS: (478), (480) imply:
% 56.87/8.91 | (640) all_24_14 = all_16_14
% 56.87/8.91 |
% 56.87/8.91 | COMBINE_EQS: (478), (479) imply:
% 56.87/8.91 | (641) all_24_14 = all_20_23
% 56.87/8.91 |
% 56.87/8.91 | COMBINE_EQS: (476), (477) imply:
% 56.87/8.91 | (642) all_24_15 = all_20_31
% 56.87/8.91 |
% 56.87/8.91 | SIMP: (642) implies:
% 56.87/8.91 | (643) all_24_15 = all_20_31
% 56.87/8.91 |
% 56.87/8.91 | COMBINE_EQS: (592), (593) imply:
% 56.87/8.91 | (644) all_22_1 = all_18_0
% 56.87/8.91 |
% 56.87/8.91 | COMBINE_EQS: (592), (594) imply:
% 56.87/8.91 | (645) all_22_1 = e20
% 56.87/8.91 |
% 56.87/8.91 | COMBINE_EQS: (588), (589) imply:
% 56.87/8.91 | (646) all_22_9 = all_14_4
% 56.87/8.91 |
% 56.87/8.91 | SIMP: (646) implies:
% 56.87/8.91 | (647) all_22_9 = all_14_4
% 56.87/8.91 |
% 56.87/8.91 | COMBINE_EQS: (579), (580) imply:
% 56.87/8.91 | (648) all_22_3 = all_14_1
% 56.87/8.91 |
% 56.87/8.91 | SIMP: (648) implies:
% 56.87/8.91 | (649) all_22_3 = all_14_1
% 56.87/8.91 |
% 56.87/8.91 | COMBINE_EQS: (576), (577) imply:
% 56.87/8.91 | (650) all_22_11 = all_18_5
% 56.87/8.91 |
% 56.87/8.91 | SIMP: (650) implies:
% 56.87/8.91 | (651) all_22_11 = all_18_5
% 56.87/8.91 |
% 56.87/8.91 | COMBINE_EQS: (585), (586) imply:
% 56.87/8.91 | (652) all_22_17 = all_18_2
% 56.87/8.91 |
% 56.87/8.91 | SIMP: (652) implies:
% 56.87/8.91 | (653) all_22_17 = all_18_2
% 56.87/8.91 |
% 56.87/8.91 | COMBINE_EQS: (572), (573) imply:
% 56.87/8.91 | (654) all_22_19 = all_14_9
% 56.87/8.91 |
% 56.87/8.91 | SIMP: (654) implies:
% 56.87/8.91 | (655) all_22_19 = all_14_9
% 56.87/8.91 |
% 56.87/8.91 | COMBINE_EQS: (566), (567) imply:
% 56.87/8.91 | (656) all_22_5 = all_14_2
% 56.87/8.91 |
% 56.87/8.91 | SIMP: (656) implies:
% 56.87/8.91 | (657) all_22_5 = all_14_2
% 56.87/8.91 |
% 56.87/8.91 | COMBINE_EQS: (563), (564) imply:
% 56.87/8.91 | (658) all_22_13 = all_14_6
% 56.87/8.91 |
% 56.87/8.91 | SIMP: (658) implies:
% 56.87/8.91 | (659) all_22_13 = all_14_6
% 56.87/8.91 |
% 56.87/8.91 | COMBINE_EQS: (560), (561) imply:
% 56.87/8.91 | (660) all_22_21 = all_4_2
% 56.87/8.91 |
% 56.87/8.91 | SIMP: (660) implies:
% 56.87/8.91 | (661) all_22_21 = all_4_2
% 56.87/8.91 |
% 56.87/8.91 | COMBINE_EQS: (581), (583) imply:
% 56.87/8.91 | (662) all_22_25 = all_14_12
% 56.87/8.91 |
% 56.87/8.91 | COMBINE_EQS: (581), (582) imply:
% 56.87/8.91 | (663) all_22_25 = all_18_3
% 56.87/8.91 |
% 56.87/8.91 | COMBINE_EQS: (568), (570) imply:
% 56.87/8.91 | (664) all_22_27 = all_14_13
% 56.87/8.91 |
% 56.87/8.91 | COMBINE_EQS: (568), (569) imply:
% 56.87/8.91 | (665) all_22_27 = all_18_7
% 56.87/8.91 |
% 56.87/8.91 | COMBINE_EQS: (556), (557) imply:
% 56.87/8.91 | (666) all_22_29 = all_14_14
% 56.87/8.91 |
% 56.87/8.91 | SIMP: (666) implies:
% 56.87/8.91 | (667) all_22_29 = all_14_14
% 56.87/8.91 |
% 56.87/8.91 | COMBINE_EQS: (553), (554) imply:
% 56.87/8.91 | (668) all_22_7 = all_18_12
% 56.87/8.91 |
% 56.87/8.91 | SIMP: (668) implies:
% 56.87/8.91 | (669) all_22_7 = all_18_12
% 56.87/8.91 |
% 56.87/8.91 | COMBINE_EQS: (549), (550) imply:
% 56.87/8.91 | (670) all_22_15 = all_14_7
% 56.87/8.91 |
% 56.87/8.91 | SIMP: (670) implies:
% 56.87/8.91 | (671) all_22_15 = all_14_7
% 56.87/8.91 |
% 56.87/8.91 | COMBINE_EQS: (546), (547) imply:
% 56.87/8.91 | (672) all_22_23 = all_14_11
% 56.87/8.91 |
% 56.87/8.91 | SIMP: (672) implies:
% 56.87/8.91 | (673) all_22_23 = all_14_11
% 56.87/8.91 |
% 56.87/8.91 | COMBINE_EQS: (542), (543) imply:
% 56.87/8.91 | (674) all_18_15 = all_14_15
% 56.87/8.91 |
% 56.87/8.91 | SIMP: (674) implies:
% 56.87/8.91 | (675) all_18_15 = all_14_15
% 56.87/8.91 |
% 56.87/8.91 | COMBINE_EQS: (543), (544) imply:
% 56.87/8.91 | (676) all_14_15 = e21
% 56.87/8.91 |
% 56.87/8.91 | COMBINE_EQS: (537), (610) imply:
% 56.87/8.91 | (677) all_20_1 = e10
% 56.87/8.91 |
% 56.87/8.91 | SIMP: (677) implies:
% 56.87/8.91 | (678) all_20_1 = e10
% 56.87/8.91 |
% 56.87/8.91 | COMBINE_EQS: (532), (612) imply:
% 56.87/8.91 | (679) all_20_9 = all_12_4
% 56.87/8.91 |
% 56.87/8.91 | SIMP: (679) implies:
% 56.87/8.91 | (680) all_20_9 = all_12_4
% 56.87/8.91 |
% 56.87/8.91 | COMBINE_EQS: (520), (618) imply:
% 56.87/8.91 | (681) all_20_3 = all_12_1
% 56.87/8.91 |
% 56.87/8.91 | COMBINE_EQS: (519), (618) imply:
% 56.87/8.91 | (682) all_20_3 = all_16_4
% 56.87/8.91 |
% 56.87/8.91 | COMBINE_EQS: (516), (620) imply:
% 56.87/8.91 | (683) all_20_11 = all_12_5
% 56.87/8.91 |
% 56.87/8.91 | SIMP: (683) implies:
% 56.87/8.91 | (684) all_20_11 = all_12_5
% 56.87/8.91 |
% 56.87/8.91 | COMBINE_EQS: (528), (614) imply:
% 56.87/8.91 | (685) all_20_17 = all_12_8
% 56.87/8.91 |
% 56.87/8.91 | COMBINE_EQS: (527), (614) imply:
% 56.87/8.91 | (686) all_20_17 = all_16_2
% 56.87/8.91 |
% 56.87/8.91 | COMBINE_EQS: (511), (622) imply:
% 56.87/8.91 | (687) all_20_19 = all_12_9
% 56.87/8.91 |
% 56.87/8.91 | SIMP: (687) implies:
% 56.87/8.91 | (688) all_20_19 = all_12_9
% 56.87/8.91 |
% 56.87/8.91 | COMBINE_EQS: (504), (627) imply:
% 56.87/8.91 | (689) all_20_5 = all_12_2
% 56.87/8.91 |
% 56.87/8.91 | SIMP: (689) implies:
% 56.87/8.91 | (690) all_20_5 = all_12_2
% 56.87/8.91 |
% 56.87/8.91 | COMBINE_EQS: (499), (629) imply:
% 56.87/8.91 | (691) all_20_13 = all_12_6
% 56.87/8.91 |
% 56.87/8.91 | SIMP: (691) implies:
% 56.87/8.91 | (692) all_20_13 = all_12_6
% 56.87/8.91 |
% 56.87/8.91 | COMBINE_EQS: (496), (632) imply:
% 56.87/8.91 | (693) all_20_21 = all_12_10
% 56.87/8.91 |
% 56.87/8.91 | COMBINE_EQS: (495), (632) imply:
% 56.87/8.91 | (694) all_20_21 = all_16_10
% 56.87/8.91 |
% 56.87/8.91 | COMBINE_EQS: (524), (616) imply:
% 56.87/8.91 | (695) all_20_25 = all_12_12
% 56.87/8.91 |
% 56.87/8.91 | SIMP: (695) implies:
% 56.87/8.91 | (696) all_20_25 = all_12_12
% 56.87/8.91 |
% 56.87/8.91 | COMBINE_EQS: (507), (508) imply:
% 56.87/8.91 | (697) all_20_27 = all_16_7
% 56.87/8.91 |
% 56.87/8.91 | COMBINE_EQS: (507), (625) imply:
% 56.87/8.91 | (698) all_20_27 = all_12_13
% 56.87/8.91 |
% 56.87/8.91 | COMBINE_EQS: (492), (634) imply:
% 56.87/8.91 | (699) all_20_29 = all_12_14
% 56.87/8.91 |
% 56.87/8.91 | SIMP: (699) implies:
% 56.87/8.91 | (700) all_20_29 = all_12_14
% 56.87/8.91 |
% 56.87/8.91 | COMBINE_EQS: (488), (636) imply:
% 56.87/8.91 | (701) all_20_7 = all_16_12
% 56.87/8.91 |
% 56.87/8.91 | SIMP: (701) implies:
% 56.87/8.91 | (702) all_20_7 = all_16_12
% 56.87/8.91 |
% 56.87/8.91 | COMBINE_EQS: (482), (638) imply:
% 56.87/8.91 | (703) all_20_15 = all_16_13
% 56.87/8.91 |
% 56.87/8.91 | COMBINE_EQS: (483), (638) imply:
% 56.87/8.91 | (704) all_20_15 = all_12_7
% 56.87/8.91 |
% 56.87/8.91 | COMBINE_EQS: (639), (641) imply:
% 56.87/8.91 | (705) all_20_23 = all_12_11
% 56.87/8.91 |
% 56.87/8.91 | COMBINE_EQS: (640), (641) imply:
% 56.87/8.91 | (706) all_20_23 = all_16_14
% 56.87/8.91 |
% 56.87/8.91 | COMBINE_EQS: (475), (643) imply:
% 56.87/8.91 | (707) all_20_31 = e11
% 56.87/8.91 |
% 56.87/8.91 | COMBINE_EQS: (474), (643) imply:
% 56.87/8.91 | (708) all_20_31 = all_16_15
% 56.87/8.91 |
% 56.87/8.91 | COMBINE_EQS: (644), (645) imply:
% 56.87/8.91 | (709) all_18_0 = e20
% 56.87/8.91 |
% 56.87/8.91 | SIMP: (709) implies:
% 56.87/8.91 | (710) all_18_0 = e20
% 56.87/8.91 |
% 56.87/8.91 | COMBINE_EQS: (578), (649) imply:
% 56.87/8.91 | (711) all_18_4 = all_14_1
% 56.87/8.91 |
% 56.87/8.91 | SIMP: (711) implies:
% 56.87/8.91 | (712) all_18_4 = all_14_1
% 56.87/8.91 |
% 56.87/8.91 | COMBINE_EQS: (565), (657) imply:
% 56.87/8.91 | (713) all_18_8 = all_14_2
% 56.87/8.91 |
% 56.87/8.91 | SIMP: (713) implies:
% 56.87/8.91 | (714) all_18_8 = all_14_2
% 56.87/8.91 |
% 56.87/8.91 | COMBINE_EQS: (551), (669) imply:
% 56.87/8.91 | (715) all_18_12 = all_14_3
% 56.87/8.91 |
% 56.87/8.91 | COMBINE_EQS: (552), (669) imply:
% 56.87/8.91 | (716) all_18_12 = e22
% 56.87/8.91 |
% 56.87/8.91 | COMBINE_EQS: (587), (647) imply:
% 56.87/8.91 | (717) all_18_1 = all_14_4
% 56.87/8.91 |
% 56.87/8.91 | COMBINE_EQS: (575), (651) imply:
% 56.87/8.91 | (718) all_18_5 = all_6_2
% 56.87/8.91 |
% 56.87/8.91 | COMBINE_EQS: (574), (651) imply:
% 56.87/8.91 | (719) all_18_5 = all_14_5
% 56.87/8.91 |
% 56.87/8.91 | COMBINE_EQS: (562), (659) imply:
% 56.87/8.91 | (720) all_18_9 = all_14_6
% 56.87/8.91 |
% 56.87/8.91 | SIMP: (720) implies:
% 56.87/8.91 | (721) all_18_9 = all_14_6
% 56.87/8.92 |
% 56.87/8.92 | COMBINE_EQS: (548), (671) imply:
% 56.87/8.92 | (722) all_18_13 = all_14_7
% 56.87/8.92 |
% 56.87/8.92 | SIMP: (722) implies:
% 56.87/8.92 | (723) all_18_13 = all_14_7
% 56.87/8.92 |
% 56.87/8.92 | COMBINE_EQS: (584), (653) imply:
% 56.87/8.92 | (724) all_18_2 = all_14_8
% 56.87/8.92 |
% 56.87/8.92 | COMBINE_EQS: (571), (655) imply:
% 56.87/8.92 | (725) all_18_6 = all_14_9
% 56.87/8.92 |
% 56.87/8.92 | SIMP: (725) implies:
% 56.87/8.92 | (726) all_18_6 = all_14_9
% 56.87/8.92 |
% 56.87/8.92 | COMBINE_EQS: (559), (661) imply:
% 56.87/8.92 | (727) all_18_10 = all_4_2
% 56.87/8.92 |
% 56.87/8.92 | SIMP: (727) implies:
% 56.87/8.92 | (728) all_18_10 = all_4_2
% 56.87/8.92 |
% 56.87/8.92 | COMBINE_EQS: (545), (673) imply:
% 56.87/8.92 | (729) all_18_14 = all_14_11
% 56.87/8.92 |
% 56.87/8.92 | SIMP: (729) implies:
% 56.87/8.92 | (730) all_18_14 = all_14_11
% 56.87/8.92 |
% 56.87/8.92 | COMBINE_EQS: (662), (663) imply:
% 56.87/8.92 | (731) all_18_3 = all_14_12
% 56.87/8.92 |
% 56.87/8.92 | SIMP: (731) implies:
% 56.87/8.92 | (732) all_18_3 = all_14_12
% 56.87/8.92 |
% 56.87/8.92 | COMBINE_EQS: (664), (665) imply:
% 56.87/8.92 | (733) all_18_7 = all_14_13
% 56.87/8.92 |
% 56.87/8.92 | COMBINE_EQS: (555), (667) imply:
% 56.87/8.92 | (734) all_18_11 = all_14_14
% 56.87/8.92 |
% 56.87/8.92 | SIMP: (734) implies:
% 56.87/8.92 | (735) all_18_11 = all_14_14
% 56.87/8.92 |
% 56.87/8.92 | COMBINE_EQS: (540), (541) imply:
% 56.87/8.92 | (736) all_18_15 = all_10_2
% 56.87/8.92 |
% 56.87/8.92 | SIMP: (736) implies:
% 56.87/8.92 | (737) all_18_15 = all_10_2
% 56.87/8.92 |
% 56.87/8.92 | COMBINE_EQS: (535), (536) imply:
% 56.87/8.92 | (738) all_16_0 = all_12_0
% 56.87/8.92 |
% 56.87/8.92 | COMBINE_EQS: (535), (678) imply:
% 56.87/8.92 | (739) all_16_0 = e10
% 56.87/8.92 |
% 56.87/8.92 | COMBINE_EQS: (681), (682) imply:
% 56.87/8.92 | (740) all_16_4 = all_12_1
% 56.87/8.92 |
% 56.87/8.92 | SIMP: (740) implies:
% 56.87/8.92 | (741) all_16_4 = all_12_1
% 56.87/8.92 |
% 56.87/8.92 | COMBINE_EQS: (503), (690) imply:
% 56.87/8.92 | (742) all_16_8 = all_12_2
% 56.87/8.92 |
% 56.87/8.92 | COMBINE_EQS: (487), (702) imply:
% 56.87/8.92 | (743) all_16_12 = e12
% 56.87/8.92 |
% 56.87/8.92 | COMBINE_EQS: (486), (702) imply:
% 56.87/8.92 | (744) all_16_12 = all_12_3
% 56.87/8.92 |
% 56.87/8.92 | COMBINE_EQS: (531), (680) imply:
% 56.87/8.92 | (745) all_16_1 = all_12_4
% 56.87/8.92 |
% 56.87/8.92 | SIMP: (745) implies:
% 56.87/8.92 | (746) all_16_1 = all_12_4
% 56.87/8.92 |
% 56.87/8.92 | COMBINE_EQS: (515), (684) imply:
% 56.87/8.92 | (747) all_16_5 = all_12_5
% 56.87/8.92 |
% 56.87/8.92 | SIMP: (747) implies:
% 56.87/8.92 | (748) all_16_5 = all_12_5
% 56.87/8.92 |
% 56.87/8.92 | COMBINE_EQS: (630), (692) imply:
% 56.87/8.92 | (749) all_16_9 = all_12_6
% 56.87/8.92 |
% 56.87/8.92 | SIMP: (749) implies:
% 56.87/8.92 | (750) all_16_9 = all_12_6
% 56.87/8.92 |
% 56.87/8.92 | COMBINE_EQS: (703), (704) imply:
% 56.87/8.92 | (751) all_16_13 = all_12_7
% 56.87/8.92 |
% 56.87/8.92 | SIMP: (751) implies:
% 56.87/8.92 | (752) all_16_13 = all_12_7
% 56.87/8.92 |
% 56.87/8.92 | COMBINE_EQS: (685), (686) imply:
% 56.87/8.92 | (753) all_16_2 = all_12_8
% 56.87/8.92 |
% 56.87/8.92 | COMBINE_EQS: (623), (688) imply:
% 56.87/8.92 | (754) all_16_6 = all_12_9
% 56.87/8.92 |
% 56.87/8.92 | SIMP: (754) implies:
% 56.87/8.92 | (755) all_16_6 = all_12_9
% 56.87/8.92 |
% 56.87/8.92 | COMBINE_EQS: (693), (694) imply:
% 56.87/8.92 | (756) all_16_10 = all_12_10
% 56.87/8.92 |
% 56.87/8.92 | COMBINE_EQS: (705), (706) imply:
% 56.87/8.92 | (757) all_16_14 = all_12_11
% 56.87/8.92 |
% 56.87/8.92 | SIMP: (757) implies:
% 56.87/8.92 | (758) all_16_14 = all_12_11
% 56.87/8.92 |
% 56.87/8.92 | COMBINE_EQS: (523), (696) imply:
% 56.87/8.92 | (759) all_16_3 = all_12_12
% 56.87/8.92 |
% 56.87/8.92 | SIMP: (759) implies:
% 56.87/8.92 | (760) all_16_3 = all_12_12
% 56.87/8.92 |
% 56.87/8.92 | COMBINE_EQS: (697), (698) imply:
% 56.87/8.92 | (761) all_16_7 = all_12_13
% 56.87/8.92 |
% 56.87/8.92 | COMBINE_EQS: (491), (700) imply:
% 56.87/8.92 | (762) all_16_11 = all_12_14
% 56.87/8.92 |
% 56.87/8.92 | COMBINE_EQS: (707), (708) imply:
% 56.87/8.92 | (763) all_16_15 = e11
% 56.87/8.92 |
% 56.87/8.92 | SIMP: (763) implies:
% 56.87/8.92 | (764) all_16_15 = e11
% 56.87/8.92 |
% 56.87/8.92 | COMBINE_EQS: (591), (710) imply:
% 56.87/8.92 | (765) all_14_0 = e20
% 56.87/8.92 |
% 56.87/8.92 | SIMP: (765) implies:
% 56.87/8.92 | (766) all_14_0 = e20
% 56.87/8.92 |
% 56.87/8.92 | COMBINE_EQS: (718), (719) imply:
% 56.87/8.92 | (767) all_14_5 = all_6_2
% 56.87/8.92 |
% 56.87/8.92 | SIMP: (767) implies:
% 56.87/8.92 | (768) all_14_5 = all_6_2
% 56.87/8.92 |
% 56.87/8.92 | COMBINE_EQS: (558), (728) imply:
% 56.87/8.92 | (769) all_14_10 = all_4_2
% 56.87/8.92 |
% 56.87/8.92 | SIMP: (769) implies:
% 56.87/8.92 | (770) all_14_10 = all_4_2
% 56.87/8.92 |
% 56.87/8.92 | COMBINE_EQS: (715), (716) imply:
% 56.87/8.92 | (771) all_14_3 = e22
% 56.87/8.92 |
% 56.87/8.92 | COMBINE_EQS: (675), (737) imply:
% 56.87/8.92 | (772) all_14_15 = all_10_2
% 56.87/8.92 |
% 56.87/8.92 | SIMP: (772) implies:
% 56.87/8.92 | (773) all_14_15 = all_10_2
% 56.87/8.92 |
% 56.87/8.92 | COMBINE_EQS: (738), (739) imply:
% 56.87/8.92 | (774) all_12_0 = e10
% 56.87/8.92 |
% 56.87/8.92 | SIMP: (774) implies:
% 56.87/8.92 | (775) all_12_0 = e10
% 56.87/8.92 |
% 56.87/8.92 | COMBINE_EQS: (743), (744) imply:
% 56.87/8.92 | (776) all_12_3 = e12
% 56.87/8.92 |
% 56.87/8.92 | COMBINE_EQS: (473), (764) imply:
% 56.87/8.92 | (777) all_12_15 = e11
% 56.87/8.92 |
% 56.87/8.92 | COMBINE_EQS: (590), (766) imply:
% 56.87/8.92 | (778) all_8_2 = e20
% 56.87/8.92 |
% 56.87/8.92 | SIMP: (778) implies:
% 56.87/8.92 | (779) all_8_2 = e20
% 56.87/8.92 |
% 56.87/8.92 | COMBINE_EQS: (676), (773) imply:
% 56.87/8.92 | (780) all_10_2 = e21
% 56.87/8.92 |
% 56.87/8.92 | COMBINE_EQS: (541), (780) imply:
% 56.87/8.92 | (781) all_22_31 = e21
% 56.87/8.92 |
% 56.87/8.92 | COMBINE_EQS: (636), (743) imply:
% 56.87/8.92 | (782) all_24_12 = e12
% 56.87/8.92 |
% 56.87/8.92 | COMBINE_EQS: (554), (716) imply:
% 56.87/8.92 | (783) all_26_12 = e22
% 56.87/8.92 |
% 56.87/8.92 | COMBINE_EQS: (586), (724) imply:
% 56.87/8.92 | (784) all_26_4 = all_14_8
% 56.87/8.92 |
% 56.87/8.92 | COMBINE_EQS: (577), (718) imply:
% 56.87/8.92 | (785) all_26_3 = all_6_2
% 56.87/8.92 |
% 56.87/8.92 | COMBINE_EQS: (477), (707) imply:
% 56.87/8.92 | (786) all_28_159 = e11
% 56.87/8.92 |
% 56.87/8.92 | COMBINE_EQS: (595), (780) imply:
% 56.87/8.92 | (787) all_28_157 = e21
% 56.87/8.92 |
% 56.87/8.92 | COMBINE_EQS: (485), (704) imply:
% 56.87/8.92 | (788) all_28_151 = all_12_7
% 56.87/8.92 |
% 56.87/8.92 | COMBINE_EQS: (490), (743) imply:
% 56.87/8.92 | (789) all_28_147 = e12
% 56.87/8.92 |
% 56.87/8.92 | COMBINE_EQS: (498), (693) imply:
% 56.87/8.92 | (790) all_28_140 = all_12_10
% 56.87/8.92 |
% 56.87/8.92 | COMBINE_EQS: (501), (692) imply:
% 56.87/8.92 | (791) all_28_137 = all_12_6
% 56.87/8.92 |
% 56.87/8.92 | COMBINE_EQS: (513), (688) imply:
% 56.87/8.92 | (792) all_28_128 = all_12_9
% 56.87/8.92 |
% 56.87/8.92 | COMBINE_EQS: (522), (681) imply:
% 56.87/8.92 | (793) all_28_122 = all_12_1
% 56.87/8.92 |
% 56.87/8.92 | COMBINE_EQS: (530), (685) imply:
% 56.87/8.92 | (794) all_28_116 = all_12_8
% 56.87/8.92 |
% 56.87/8.92 | COMBINE_EQS: (605), (779) imply:
% 56.87/8.92 | (795) all_28_34 = e20
% 56.87/8.92 |
% 56.87/8.92 | REDUCE: (170), (766) imply:
% 56.87/8.92 | (796) ~ (all_14_1 = e20)
% 56.87/8.92 |
% 56.87/8.92 | SIMP: (796) implies:
% 56.87/8.92 | (797) ~ (all_14_1 = e20)
% 56.87/8.92 |
% 56.87/8.92 | REDUCE: (169), (766) imply:
% 56.87/8.92 | (798) ~ (all_14_2 = e20)
% 56.87/8.92 |
% 56.87/8.92 | SIMP: (798) implies:
% 56.87/8.92 | (799) ~ (all_14_2 = e20)
% 56.87/8.92 |
% 56.87/8.92 | REDUCE: (168), (766) imply:
% 56.87/8.92 | (800) ~ (all_14_4 = e20)
% 56.87/8.92 |
% 56.87/8.92 | SIMP: (800) implies:
% 56.87/8.92 | (801) ~ (all_14_4 = e20)
% 56.87/8.92 |
% 56.87/8.92 | REDUCE: (167), (766) imply:
% 56.87/8.92 | (802) ~ (all_14_8 = e20)
% 56.87/8.92 |
% 56.87/8.92 | SIMP: (802) implies:
% 56.87/8.92 | (803) ~ (all_14_8 = e20)
% 56.87/8.92 |
% 56.87/8.92 | REDUCE: (166), (766) imply:
% 56.87/8.92 | (804) ~ (all_14_12 = e20)
% 56.87/8.92 |
% 56.87/8.92 | SIMP: (804) implies:
% 56.87/8.92 | (805) ~ (all_14_12 = e20)
% 56.87/8.92 |
% 56.87/8.92 | REDUCE: (164), (771) imply:
% 56.87/8.92 | (806) ~ (all_14_1 = e22)
% 56.87/8.92 |
% 56.87/8.92 | REDUCE: (163), (768) imply:
% 56.87/8.92 | (807) ~ (all_14_1 = all_6_2)
% 56.87/8.92 |
% 56.87/8.92 | REDUCE: (160), (771) imply:
% 56.87/8.92 | (808) ~ (all_14_2 = e22)
% 56.87/8.92 |
% 56.87/8.92 | REDUCE: (158), (770) imply:
% 56.87/8.92 | (809) ~ (all_14_2 = all_4_2)
% 56.87/8.92 |
% 56.87/8.92 | REDUCE: (156), (771) imply:
% 56.87/8.92 | (810) ~ (all_14_7 = e22)
% 56.87/8.92 |
% 56.87/8.92 | SIMP: (810) implies:
% 56.87/8.92 | (811) ~ (all_14_7 = e22)
% 56.87/8.92 |
% 56.87/8.92 | REDUCE: (155), (771) imply:
% 56.87/8.92 | (812) ~ (all_14_11 = e22)
% 56.87/8.92 |
% 56.87/8.92 | SIMP: (812) implies:
% 56.87/8.92 | (813) ~ (all_14_11 = e22)
% 56.87/8.92 |
% 56.87/8.92 | REDUCE: (154), (768) imply:
% 56.87/8.92 | (814) ~ (all_14_4 = all_6_2)
% 56.87/8.92 |
% 56.87/8.92 | REDUCE: (149), (768) imply:
% 56.87/8.92 | (815) ~ (all_14_6 = all_6_2)
% 56.87/8.92 |
% 56.87/8.92 | SIMP: (815) implies:
% 56.87/8.92 | (816) ~ (all_14_6 = all_6_2)
% 56.87/8.92 |
% 56.87/8.92 | REDUCE: (148), (768) imply:
% 56.87/8.92 | (817) ~ (all_14_7 = all_6_2)
% 56.87/8.92 |
% 56.87/8.92 | SIMP: (817) implies:
% 56.87/8.92 | (818) ~ (all_14_7 = all_6_2)
% 56.87/8.92 |
% 56.87/8.92 | REDUCE: (147), (768) imply:
% 56.87/8.92 | (819) ~ (all_14_9 = all_6_2)
% 56.87/8.92 |
% 56.87/8.92 | SIMP: (819) implies:
% 56.87/8.92 | (820) ~ (all_14_9 = all_6_2)
% 56.87/8.92 |
% 56.87/8.92 | REDUCE: (146), (768) imply:
% 56.87/8.92 | (821) ~ (all_14_13 = all_6_2)
% 56.87/8.92 |
% 56.87/8.92 | SIMP: (821) implies:
% 56.87/8.92 | (822) ~ (all_14_13 = all_6_2)
% 56.87/8.92 |
% 56.87/8.92 | REDUCE: (144), (770) imply:
% 56.87/8.92 | (823) ~ (all_14_6 = all_4_2)
% 56.87/8.92 |
% 56.87/8.92 | REDUCE: (141), (676) imply:
% 56.87/8.92 | (824) ~ (all_14_7 = e21)
% 56.87/8.92 |
% 56.87/8.92 | REDUCE: (139), (770) imply:
% 56.87/8.92 | (825) ~ (all_14_8 = all_4_2)
% 56.87/8.92 |
% 56.87/8.92 | REDUCE: (136), (770) imply:
% 56.87/8.92 | (826) ~ (all_14_9 = all_4_2)
% 56.87/8.92 |
% 56.87/8.92 | REDUCE: (133), (770) imply:
% 56.87/8.92 | (827) ~ (all_14_11 = all_4_2)
% 56.87/8.92 |
% 56.87/8.92 | SIMP: (827) implies:
% 56.87/8.92 | (828) ~ (all_14_11 = all_4_2)
% 56.87/8.92 |
% 56.87/8.92 | REDUCE: (132), (770) imply:
% 56.87/8.92 | (829) ~ (all_14_14 = all_4_2)
% 56.87/8.92 |
% 56.87/8.92 | SIMP: (829) implies:
% 56.87/8.92 | (830) ~ (all_14_14 = all_4_2)
% 56.87/8.92 |
% 56.87/8.92 | REDUCE: (131), (676) imply:
% 56.87/8.92 | (831) ~ (all_14_11 = e21)
% 56.87/8.92 |
% 56.87/8.92 | REDUCE: (128), (676) imply:
% 56.87/8.92 | (832) ~ (all_14_12 = e21)
% 56.87/8.92 |
% 56.87/8.92 | REDUCE: (126), (676) imply:
% 56.87/8.92 | (833) ~ (all_14_13 = e21)
% 56.87/8.92 |
% 56.87/8.92 | REDUCE: (125), (676) imply:
% 56.87/8.92 | (834) ~ (all_14_14 = e21)
% 56.87/8.92 |
% 56.87/8.92 | REDUCE: (107), (775) imply:
% 56.87/8.92 | (835) ~ (all_12_1 = e10)
% 56.87/8.92 |
% 56.87/8.92 | SIMP: (835) implies:
% 56.87/8.92 | (836) ~ (all_12_1 = e10)
% 56.87/8.92 |
% 56.87/8.92 | REDUCE: (106), (775) imply:
% 56.87/8.92 | (837) ~ (all_12_2 = e10)
% 56.87/8.92 |
% 56.87/8.92 | SIMP: (837) implies:
% 56.87/8.92 | (838) ~ (all_12_2 = e10)
% 56.87/8.92 |
% 56.87/8.93 | REDUCE: (105), (775), (776) imply:
% 56.87/8.93 | (839) ~ (e12 = e10)
% 56.87/8.93 |
% 56.87/8.93 | SIMP: (839) implies:
% 56.87/8.93 | (840) ~ (e12 = e10)
% 56.87/8.93 |
% 56.87/8.93 | REDUCE: (104), (775) imply:
% 56.87/8.93 | (841) ~ (all_12_4 = e10)
% 56.87/8.93 |
% 56.87/8.93 | SIMP: (841) implies:
% 56.87/8.93 | (842) ~ (all_12_4 = e10)
% 56.87/8.93 |
% 56.87/8.93 | REDUCE: (103), (775) imply:
% 56.87/8.93 | (843) ~ (all_12_12 = e10)
% 56.87/8.93 |
% 56.87/8.93 | SIMP: (843) implies:
% 56.87/8.93 | (844) ~ (all_12_12 = e10)
% 56.87/8.93 |
% 56.87/8.93 | REDUCE: (101), (776) imply:
% 56.87/8.93 | (845) ~ (all_12_1 = e12)
% 56.87/8.93 |
% 56.87/8.93 | REDUCE: (97), (776) imply:
% 56.87/8.93 | (846) ~ (all_12_2 = e12)
% 56.87/8.93 |
% 56.87/8.93 | REDUCE: (93), (776) imply:
% 56.87/8.93 | (847) ~ (all_12_7 = e12)
% 56.87/8.93 |
% 56.87/8.93 | SIMP: (847) implies:
% 56.87/8.93 | (848) ~ (all_12_7 = e12)
% 56.87/8.93 |
% 56.87/8.93 | REDUCE: (92), (776) imply:
% 56.87/8.93 | (849) ~ (all_12_11 = e12)
% 56.87/8.93 |
% 56.87/8.93 | SIMP: (849) implies:
% 56.87/8.93 | (850) ~ (all_12_11 = e12)
% 56.87/8.93 |
% 56.87/8.93 | REDUCE: (91), (776), (777) imply:
% 56.87/8.93 | (851) ~ (e12 = e11)
% 56.87/8.93 |
% 56.87/8.93 | REDUCE: (77), (777) imply:
% 56.87/8.93 | (852) ~ (all_12_7 = e11)
% 56.87/8.93 |
% 56.87/8.93 | REDUCE: (67), (777) imply:
% 56.87/8.93 | (853) ~ (all_12_11 = e11)
% 56.87/8.93 |
% 56.87/8.93 | REDUCE: (64), (777) imply:
% 56.87/8.93 | (854) ~ (all_12_12 = e11)
% 56.87/8.93 |
% 56.87/8.93 | REDUCE: (62), (777) imply:
% 56.87/8.93 | (855) ~ (all_12_13 = e11)
% 56.87/8.93 |
% 56.87/8.93 | REDUCE: (61), (777) imply:
% 56.87/8.93 | (856) ~ (all_12_14 = e11)
% 56.87/8.93 |
% 56.87/8.93 | REDUCE: (471), (539) imply:
% 56.87/8.93 | (857) h4(e10) = all_28_1
% 56.87/8.93 |
% 56.87/8.93 | REDUCE: (470), (534) imply:
% 56.87/8.93 | (858) h4(all_12_4) = all_28_3
% 56.87/8.93 |
% 56.87/8.93 | REDUCE: (469), (794) imply:
% 56.87/8.93 | (859) h4(all_12_8) = all_28_5
% 56.87/8.93 |
% 56.87/8.93 | REDUCE: (468), (526) imply:
% 56.87/8.93 | (860) h4(all_12_12) = all_28_7
% 56.87/8.93 |
% 56.87/8.93 | REDUCE: (467), (793) imply:
% 56.87/8.93 | (861) h4(all_12_1) = all_28_9
% 56.87/8.93 |
% 56.87/8.93 | REDUCE: (466), (518) imply:
% 56.87/8.93 | (862) h4(all_12_5) = all_28_11
% 56.87/8.93 |
% 56.87/8.93 | REDUCE: (465), (792) imply:
% 56.87/8.93 | (863) h4(all_12_9) = all_28_13
% 56.87/8.93 |
% 56.87/8.93 | REDUCE: (464), (510) imply:
% 56.87/8.93 | (864) h4(all_12_13) = all_28_15
% 56.87/8.93 |
% 56.87/8.93 | REDUCE: (463), (506) imply:
% 56.87/8.93 | (865) h4(all_12_2) = all_28_17
% 56.87/8.93 |
% 56.87/8.93 | REDUCE: (462), (791) imply:
% 56.87/8.93 | (866) h4(all_12_6) = all_28_19
% 56.87/8.93 |
% 56.87/8.93 | REDUCE: (461), (790) imply:
% 56.87/8.93 | (867) h4(all_12_10) = all_28_21
% 56.87/8.93 |
% 56.87/8.93 | REDUCE: (460), (494) imply:
% 56.87/8.93 | (868) h4(all_12_14) = all_28_23
% 56.87/8.93 |
% 56.87/8.93 | REDUCE: (459), (789) imply:
% 56.87/8.93 | (869) h4(e12) = all_28_26
% 56.87/8.93 |
% 56.87/8.93 | REDUCE: (458), (788) imply:
% 56.87/8.93 | (870) h4(all_12_7) = all_28_29
% 56.87/8.93 |
% 56.87/8.93 | REDUCE: (457), (481) imply:
% 56.87/8.93 | (871) h4(all_12_11) = all_28_32
% 56.87/8.93 |
% 56.87/8.93 | REDUCE: (456), (786) imply:
% 56.87/8.93 | (872) h4(e11) = all_28_35
% 56.87/8.93 |
% 56.87/8.93 | REDUCE: (48), (779) imply:
% 56.87/8.93 | (873) h4(e10) = e20
% 56.87/8.93 |
% 56.87/8.93 | REDUCE: (441), (608) imply:
% 56.87/8.93 | (874) op2(e23, e23) = all_28_0
% 56.87/8.93 |
% 56.87/8.93 | REDUCE: (440), (607), (608) imply:
% 56.87/8.93 | (875) op2(e23, all_8_0) = all_28_2
% 56.87/8.93 |
% 56.87/8.93 | REDUCE: (439), (606), (608) imply:
% 56.87/8.93 | (876) op2(e23, all_8_1) = all_28_4
% 56.87/8.93 |
% 56.87/8.93 | REDUCE: (438), (608), (795) imply:
% 56.87/8.93 | (877) op2(e23, e20) = all_28_6
% 56.87/8.93 |
% 56.87/8.93 | REDUCE: (437), (607), (608) imply:
% 56.87/8.93 | (878) op2(all_8_0, e23) = all_28_8
% 56.87/8.93 |
% 56.87/8.93 | REDUCE: (436), (607) imply:
% 56.87/8.93 | (879) op2(all_8_0, all_8_0) = all_28_10
% 56.87/8.93 |
% 56.87/8.93 | REDUCE: (435), (606), (607) imply:
% 56.87/8.93 | (880) op2(all_8_0, all_8_1) = all_28_12
% 56.87/8.93 |
% 56.87/8.93 | REDUCE: (434), (607), (795) imply:
% 56.87/8.93 | (881) op2(all_8_0, e20) = all_28_14
% 56.87/8.93 |
% 56.87/8.93 | REDUCE: (433), (606), (608) imply:
% 56.87/8.93 | (882) op2(all_8_1, e23) = all_28_16
% 56.87/8.93 |
% 56.87/8.93 | REDUCE: (432), (606), (607) imply:
% 56.87/8.93 | (883) op2(all_8_1, all_8_0) = all_28_18
% 56.87/8.93 |
% 56.87/8.93 | REDUCE: (431), (606) imply:
% 56.87/8.93 | (884) op2(all_8_1, all_8_1) = all_28_20
% 56.87/8.93 |
% 56.87/8.93 | REDUCE: (430), (606), (795) imply:
% 56.87/8.93 | (885) op2(all_8_1, e20) = all_28_22
% 56.87/8.93 |
% 56.87/8.93 | REDUCE: (429), (608), (795) imply:
% 56.87/8.93 | (886) op2(e20, e23) = all_28_24
% 56.87/8.93 |
% 56.87/8.93 | REDUCE: (428), (607), (795) imply:
% 56.87/8.93 | (887) op2(e20, all_8_0) = all_28_27
% 56.87/8.93 |
% 56.87/8.93 | REDUCE: (427), (606), (795) imply:
% 56.87/8.93 | (888) op2(e20, all_8_1) = all_28_30
% 56.87/8.93 |
% 56.87/8.93 | REDUCE: (426), (795) imply:
% 56.87/8.93 | (889) op2(e20, e20) = all_28_33
% 56.87/8.93 |
% 56.87/8.93 | REDUCE: (425), (604) imply:
% 56.87/8.93 | (890) op2(e22, e22) = all_28_36
% 56.87/8.93 |
% 56.87/8.93 | REDUCE: (424), (601), (604) imply:
% 56.87/8.93 | (891) op2(e22, all_6_2) = all_28_42
% 56.87/8.93 |
% 56.87/8.93 | REDUCE: (423), (601), (603) imply:
% 56.87/8.93 | (892) op2(all_6_0, all_6_2) = all_28_50
% 56.87/8.93 |
% 56.87/8.93 | REDUCE: (422), (602), (603) imply:
% 56.87/8.93 | (893) op2(all_6_1, all_6_0) = all_28_54
% 56.87/8.93 |
% 56.87/8.93 | REDUCE: (421), (601), (604) imply:
% 56.87/8.93 | (894) op2(all_6_2, e22) = all_28_60
% 56.87/8.93 |
% 56.87/8.93 | REDUCE: (420), (601) imply:
% 56.87/8.93 | (895) op2(all_6_2, all_6_2) = all_28_69
% 56.87/8.93 |
% 56.87/8.93 | REDUCE: (419), (600) imply:
% 56.87/8.93 | (896) op2(e21, e21) = all_28_72
% 56.87/8.93 |
% 56.87/8.93 | REDUCE: (418), (599), (600) imply:
% 56.87/8.93 | (897) op2(all_4_2, e21) = all_28_96
% 56.87/8.93 |
% 56.87/8.93 | REDUCE: (417), (599) imply:
% 56.87/8.93 | (898) op2(all_4_2, all_4_2) = all_28_105
% 56.87/8.93 |
% 56.87/8.93 | REDUCE: (416), (598) imply:
% 56.87/8.93 | (899) op2(e20, e20) = all_28_108
% 56.87/8.93 |
% 56.87/8.93 | REDUCE: (415), (596), (598) imply:
% 56.87/8.93 | (900) op2(e20, all_10_1) = all_28_114
% 56.87/8.93 |
% 56.87/8.93 | REDUCE: (414), (598), (787) imply:
% 56.87/8.93 | (901) op2(e20, e21) = all_28_117
% 56.87/8.93 |
% 56.87/8.93 | REDUCE: (413), (596), (597) imply:
% 56.87/8.93 | (902) op2(all_10_0, all_10_1) = all_28_126
% 56.87/8.93 |
% 56.87/8.93 | REDUCE: (412), (597), (787) imply:
% 56.87/8.93 | (903) op2(all_10_0, e21) = all_28_129
% 56.87/8.93 |
% 56.87/8.93 | REDUCE: (411), (596) imply:
% 56.87/8.93 | (904) op2(all_10_1, all_10_1) = all_28_138
% 56.87/8.93 |
% 56.87/8.93 | REDUCE: (410), (596), (787) imply:
% 56.87/8.93 | (905) op2(all_10_1, e21) = all_28_141
% 56.87/8.93 |
% 56.87/8.93 | REDUCE: (409), (598), (787) imply:
% 56.87/8.93 | (906) op2(e21, e20) = all_28_144
% 56.87/8.93 |
% 56.87/8.93 | REDUCE: (408), (787) imply:
% 56.87/8.93 | (907) op2(e21, e21) = all_28_156
% 56.87/8.93 |
% 56.87/8.93 | REDUCE: (315), (645) imply:
% 56.87/8.93 | (908) op2(e20, e23) = all_22_0
% 56.87/8.93 |
% 56.87/8.93 | REDUCE: (314), (649) imply:
% 56.87/8.93 | (909) op2(all_14_1, e22) = all_22_2
% 56.87/8.93 |
% 56.87/8.93 | REDUCE: (313), (657) imply:
% 56.87/8.93 | (910) op2(all_14_2, e21) = all_22_4
% 56.87/8.93 |
% 56.87/8.93 | REDUCE: (312), (552) imply:
% 56.87/8.93 | (911) op2(e22, e20) = all_22_6
% 56.87/8.93 |
% 56.87/8.93 | REDUCE: (311), (647) imply:
% 56.87/8.93 | (912) op2(all_14_4, e23) = all_22_8
% 56.87/8.93 |
% 56.87/8.93 | REDUCE: (310), (575) imply:
% 56.87/8.93 | (913) op2(all_6_2, e22) = all_22_10
% 56.87/8.93 |
% 56.87/8.93 | REDUCE: (309), (659) imply:
% 56.87/8.93 | (914) op2(all_14_6, e21) = all_22_12
% 56.87/8.93 |
% 56.87/8.93 | REDUCE: (308), (671) imply:
% 56.87/8.93 | (915) op2(all_14_7, e20) = all_22_14
% 56.87/8.93 |
% 56.87/8.93 | REDUCE: (307), (584) imply:
% 56.87/8.93 | (916) op2(all_14_8, e23) = all_22_16
% 56.87/8.93 |
% 56.87/8.93 | REDUCE: (306), (655) imply:
% 56.87/8.93 | (917) op2(all_14_9, e22) = all_22_18
% 56.87/8.93 |
% 56.87/8.93 | REDUCE: (305), (661) imply:
% 56.87/8.93 | (918) op2(all_4_2, e21) = all_22_20
% 56.87/8.93 |
% 56.87/8.93 | REDUCE: (304), (673) imply:
% 56.87/8.93 | (919) op2(all_14_11, e20) = all_22_22
% 56.87/8.93 |
% 56.87/8.93 | REDUCE: (303), (662) imply:
% 56.87/8.93 | (920) op2(all_14_12, e23) = all_22_24
% 56.87/8.93 |
% 56.87/8.93 | REDUCE: (302), (664) imply:
% 56.87/8.93 | (921) op2(all_14_13, e22) = all_22_26
% 56.87/8.93 |
% 56.87/8.93 | REDUCE: (301), (667) imply:
% 56.87/8.93 | (922) op2(all_14_14, e21) = all_22_28
% 56.87/8.93 |
% 56.87/8.93 | REDUCE: (300), (781) imply:
% 56.87/8.93 | (923) op2(e21, e20) = all_22_30
% 56.87/8.93 |
% 56.87/8.93 | REDUCE: (55), (780) imply:
% 56.87/8.93 | (924) op2(e21, e21) = all_10_1
% 56.87/8.93 |
% 56.87/8.93 | REDUCE: (54), (780) imply:
% 56.87/8.93 | (925) op2(e21, e20) = all_10_0
% 56.87/8.93 |
% 56.87/8.93 | REDUCE: (47), (779) imply:
% 56.87/8.93 | (926) op2(e20, e20) = all_8_1
% 56.87/8.93 |
% 56.87/8.93 | REDUCE: (46), (779) imply:
% 56.87/8.93 | (927) op2(e20, e23) = all_8_0
% 56.87/8.93 |
% 56.87/8.93 | REDUCE: (277), (678) imply:
% 56.87/8.93 | (928) op1(e10, e13) = all_20_0
% 56.87/8.93 |
% 56.87/8.93 | REDUCE: (276), (681) imply:
% 56.87/8.93 | (929) op1(all_12_1, e12) = all_20_2
% 56.87/8.93 |
% 56.87/8.93 | REDUCE: (275), (690) imply:
% 56.87/8.93 | (930) op1(all_12_2, e11) = all_20_4
% 56.87/8.93 |
% 56.87/8.93 | REDUCE: (274), (487) imply:
% 56.87/8.93 | (931) op1(e12, e10) = all_20_6
% 56.87/8.93 |
% 56.87/8.93 | REDUCE: (273), (680) imply:
% 56.87/8.93 | (932) op1(all_12_4, e13) = all_20_8
% 56.87/8.93 |
% 56.87/8.93 | REDUCE: (272), (684) imply:
% 56.87/8.93 | (933) op1(all_12_5, e12) = all_20_10
% 56.87/8.93 |
% 56.87/8.93 | REDUCE: (271), (692) imply:
% 56.87/8.94 | (934) op1(all_12_6, e11) = all_20_12
% 56.87/8.94 |
% 56.87/8.94 | REDUCE: (270), (704) imply:
% 56.87/8.94 | (935) op1(all_12_7, e10) = all_20_14
% 56.87/8.94 |
% 56.87/8.94 | REDUCE: (269), (685) imply:
% 56.87/8.94 | (936) op1(all_12_8, e13) = all_20_16
% 56.87/8.94 |
% 56.87/8.94 | REDUCE: (268), (688) imply:
% 56.87/8.94 | (937) op1(all_12_9, e12) = all_20_18
% 56.87/8.94 |
% 56.87/8.94 | REDUCE: (267), (693) imply:
% 56.87/8.94 | (938) op1(all_12_10, e11) = all_20_20
% 56.87/8.94 |
% 56.87/8.94 | REDUCE: (266), (705) imply:
% 56.87/8.94 | (939) op1(all_12_11, e10) = all_20_22
% 56.87/8.94 |
% 56.87/8.94 | REDUCE: (265), (696) imply:
% 56.87/8.94 | (940) op1(all_12_12, e13) = all_20_24
% 56.87/8.94 |
% 56.87/8.94 | REDUCE: (264), (698) imply:
% 56.87/8.94 | (941) op1(all_12_13, e12) = all_20_26
% 56.87/8.94 |
% 56.87/8.94 | REDUCE: (263), (700) imply:
% 56.87/8.94 | (942) op1(all_12_14, e11) = all_20_28
% 56.87/8.94 |
% 56.87/8.94 | REDUCE: (262), (707) imply:
% 56.87/8.94 | (943) op1(e11, e10) = all_20_30
% 56.87/8.94 |
% 56.87/8.94 | GROUND_INST: instantiating (28) with e12, all_20_0, e13, e10, simplifying with
% 56.87/8.94 | (14), (928) gives:
% 56.87/8.94 | (944) all_20_0 = e12
% 56.87/8.94 |
% 56.87/8.94 | GROUND_INST: instantiating (28) with all_12_14, all_20_30, e10, e11,
% 56.87/8.94 | simplifying with (112), (943) gives:
% 56.87/8.94 | (945) all_20_30 = all_12_14
% 56.87/8.94 |
% 56.87/8.94 | GROUND_INST: instantiating (28) with all_12_13, all_20_6, e10, e12,
% 56.87/8.94 | simplifying with (116), (931) gives:
% 56.87/8.94 | (946) all_20_6 = all_12_13
% 56.87/8.94 |
% 56.87/8.94 | GROUND_INST: instantiating (29) with e21, all_28_33, e20, e20, simplifying
% 56.87/8.94 | with (16), (889) gives:
% 56.87/8.94 | (947) all_28_33 = e21
% 56.87/8.94 |
% 56.87/8.94 | GROUND_INST: instantiating (29) with all_28_108, all_28_33, e20, e20,
% 56.87/8.94 | simplifying with (889), (899) gives:
% 56.87/8.94 | (948) all_28_33 = all_28_108
% 56.87/8.94 |
% 56.87/8.94 | GROUND_INST: instantiating (29) with all_8_1, all_28_33, e20, e20, simplifying
% 56.87/8.94 | with (889), (926) gives:
% 56.87/8.94 | (949) all_28_33 = all_8_1
% 56.87/8.94 |
% 56.87/8.94 | GROUND_INST: instantiating (29) with all_14_11, all_28_117, e21, e20,
% 56.87/8.94 | simplifying with (172), (901) gives:
% 56.87/8.94 | (950) all_28_117 = all_14_11
% 56.87/8.94 |
% 56.87/8.94 | GROUND_INST: instantiating (29) with e22, all_22_0, e23, e20, simplifying with
% 56.87/8.94 | (17), (908) gives:
% 56.87/8.94 | (951) all_22_0 = e22
% 56.87/8.94 |
% 56.87/8.94 | GROUND_INST: instantiating (29) with all_22_0, all_28_24, e23, e20,
% 56.87/8.94 | simplifying with (886), (908) gives:
% 56.87/8.94 | (952) all_28_24 = all_22_0
% 56.87/8.94 |
% 56.87/8.94 | GROUND_INST: instantiating (29) with all_8_0, all_28_24, e23, e20, simplifying
% 56.87/8.94 | with (886), (927) gives:
% 56.87/8.94 | (953) all_28_24 = all_8_0
% 56.87/8.94 |
% 56.87/8.94 | GROUND_INST: instantiating (29) with all_14_14, all_22_30, e20, e21,
% 56.87/8.94 | simplifying with (175), (923) gives:
% 56.87/8.94 | (954) all_22_30 = all_14_14
% 56.87/8.94 |
% 56.87/8.94 | GROUND_INST: instantiating (29) with all_22_30, all_28_144, e20, e21,
% 56.87/8.94 | simplifying with (906), (923) gives:
% 56.87/8.94 | (955) all_28_144 = all_22_30
% 56.87/8.94 |
% 56.87/8.94 | GROUND_INST: instantiating (29) with all_10_0, all_28_144, e20, e21,
% 56.87/8.94 | simplifying with (906), (925) gives:
% 56.87/8.94 | (956) all_28_144 = all_10_0
% 56.87/8.94 |
% 56.87/8.94 | GROUND_INST: instantiating (29) with all_4_2, all_28_156, e21, e21,
% 56.87/8.94 | simplifying with (31), (907) gives:
% 56.87/8.94 | (957) all_28_156 = all_4_2
% 56.87/8.94 |
% 56.87/8.94 | GROUND_INST: instantiating (29) with all_28_156, all_28_72, e21, e21,
% 56.87/8.94 | simplifying with (896), (907) gives:
% 56.87/8.94 | (958) all_28_72 = all_28_156
% 56.87/8.94 |
% 56.87/8.94 | GROUND_INST: instantiating (29) with all_10_1, all_28_72, e21, e21,
% 56.87/8.94 | simplifying with (896), (924) gives:
% 56.87/8.94 | (959) all_28_72 = all_10_1
% 56.87/8.94 |
% 56.87/8.94 | GROUND_INST: instantiating (29) with all_14_13, all_22_6, e20, e22,
% 56.87/8.94 | simplifying with (179), (911) gives:
% 56.87/8.94 | (960) all_22_6 = all_14_13
% 56.87/8.94 |
% 56.87/8.94 | GROUND_INST: instantiating (29) with all_6_2, all_28_36, e22, e22, simplifying
% 56.87/8.94 | with (37), (890) gives:
% 56.87/8.94 | (961) all_28_36 = all_6_2
% 56.87/8.94 |
% 56.87/8.94 | GROUND_INST: instantiating (29) with all_14_12, all_28_6, e20, e23,
% 56.87/8.94 | simplifying with (183), (877) gives:
% 56.87/8.94 | (962) all_28_6 = all_14_12
% 56.87/8.94 |
% 56.87/8.94 | GROUND_INST: instantiating (29) with e20, all_28_0, e23, e23, simplifying with
% 56.87/8.94 | (18), (874) gives:
% 56.87/8.94 | (963) all_28_0 = e20
% 56.87/8.94 |
% 56.87/8.94 | GROUND_INST: instantiating (29) with all_4_0, all_28_96, e21, all_4_2,
% 56.87/8.94 | simplifying with (32), (897) gives:
% 56.87/8.94 | (964) all_28_96 = all_4_0
% 56.87/8.94 |
% 56.87/8.94 | GROUND_INST: instantiating (29) with all_22_20, all_28_96, e21, all_4_2,
% 56.87/8.94 | simplifying with (897), (918) gives:
% 56.87/8.94 | (965) all_28_96 = all_22_20
% 56.87/8.94 |
% 56.87/8.94 | GROUND_INST: instantiating (29) with all_4_1, all_28_105, all_4_2, all_4_2,
% 56.87/8.94 | simplifying with (33), (898) gives:
% 56.87/8.94 | (966) all_28_105 = all_4_1
% 56.87/8.94 |
% 56.87/8.94 | GROUND_INST: instantiating (29) with all_6_0, all_28_60, e22, all_6_2,
% 56.87/8.94 | simplifying with (38), (894) gives:
% 56.87/8.94 | (967) all_28_60 = all_6_0
% 56.87/8.94 |
% 56.87/8.94 | GROUND_INST: instantiating (29) with all_22_10, all_28_60, e22, all_6_2,
% 56.87/8.94 | simplifying with (894), (913) gives:
% 56.87/8.94 | (968) all_28_60 = all_22_10
% 56.87/8.94 |
% 56.87/8.94 | GROUND_INST: instantiating (29) with all_6_1, all_28_69, all_6_2, all_6_2,
% 56.87/8.94 | simplifying with (39), (895) gives:
% 56.87/8.94 | (969) all_28_69 = all_6_1
% 56.87/8.94 |
% 56.87/8.94 | GROUND_INST: instantiating (27) with e20, all_28_1, e10, simplifying with
% 56.87/8.94 | (857), (873) gives:
% 56.87/8.94 | (970) all_28_1 = e20
% 56.87/8.94 |
% 56.87/8.94 | GROUND_INST: instantiating (27) with all_8_1, all_28_35, e11, simplifying with
% 56.87/8.94 | (49), (872) gives:
% 56.87/8.94 | (971) all_28_35 = all_8_1
% 56.87/8.94 |
% 56.87/8.94 | GROUND_INST: instantiating (27) with all_8_0, all_28_26, e12, simplifying with
% 56.87/8.94 | (50), (869) gives:
% 56.87/8.94 | (972) all_28_26 = all_8_0
% 56.87/8.94 |
% 56.87/8.94 | COMBINE_EQS: (952), (953) imply:
% 56.87/8.94 | (973) all_22_0 = all_8_0
% 56.87/8.94 |
% 56.87/8.94 | SIMP: (973) implies:
% 56.87/8.94 | (974) all_22_0 = all_8_0
% 56.87/8.94 |
% 56.87/8.94 | COMBINE_EQS: (947), (948) imply:
% 56.87/8.94 | (975) all_28_108 = e21
% 56.87/8.94 |
% 56.87/8.94 | COMBINE_EQS: (948), (949) imply:
% 56.87/8.94 | (976) all_28_108 = all_8_1
% 56.87/8.94 |
% 56.87/8.94 | COMBINE_EQS: (967), (968) imply:
% 56.87/8.94 | (977) all_22_10 = all_6_0
% 56.87/8.94 |
% 56.87/8.94 | SIMP: (977) implies:
% 56.87/8.94 | (978) all_22_10 = all_6_0
% 56.87/8.94 |
% 56.87/8.94 | COMBINE_EQS: (958), (959) imply:
% 56.87/8.94 | (979) all_28_156 = all_10_1
% 56.87/8.94 |
% 56.87/8.94 | SIMP: (979) implies:
% 56.87/8.94 | (980) all_28_156 = all_10_1
% 56.87/8.94 |
% 56.87/8.94 | COMBINE_EQS: (964), (965) imply:
% 56.87/8.94 | (981) all_22_20 = all_4_0
% 56.87/8.94 |
% 56.87/8.94 | SIMP: (981) implies:
% 56.87/8.94 | (982) all_22_20 = all_4_0
% 56.87/8.94 |
% 56.87/8.94 | COMBINE_EQS: (975), (976) imply:
% 56.87/8.94 | (983) all_8_1 = e21
% 56.87/8.94 |
% 56.87/8.94 | COMBINE_EQS: (955), (956) imply:
% 56.87/8.94 | (984) all_22_30 = all_10_0
% 56.87/8.94 |
% 56.87/8.94 | SIMP: (984) implies:
% 56.87/8.94 | (985) all_22_30 = all_10_0
% 56.87/8.94 |
% 56.87/8.94 | COMBINE_EQS: (957), (980) imply:
% 56.87/8.94 | (986) all_10_1 = all_4_2
% 56.87/8.94 |
% 56.87/8.94 | COMBINE_EQS: (951), (974) imply:
% 56.87/8.94 | (987) all_8_0 = e22
% 56.87/8.94 |
% 56.87/8.94 | COMBINE_EQS: (954), (985) imply:
% 56.87/8.94 | (988) all_14_14 = all_10_0
% 56.87/8.94 |
% 56.87/8.94 | COMBINE_EQS: (735), (988) imply:
% 56.87/8.94 | (989) all_18_11 = all_10_0
% 56.87/8.94 |
% 56.87/8.94 | COMBINE_EQS: (667), (988) imply:
% 56.87/8.94 | (990) all_22_29 = all_10_0
% 56.87/8.94 |
% 56.87/8.94 | COMBINE_EQS: (557), (988) imply:
% 56.87/8.94 | (991) all_26_11 = all_10_0
% 56.87/8.94 |
% 56.87/8.94 | COMBINE_EQS: (971), (983) imply:
% 56.87/8.94 | (992) all_28_35 = e21
% 56.87/8.94 |
% 56.87/8.94 | COMBINE_EQS: (606), (983) imply:
% 56.87/8.94 | (993) all_28_31 = e21
% 56.87/8.94 |
% 56.87/8.94 | COMBINE_EQS: (607), (987) imply:
% 56.87/8.94 | (994) all_28_28 = e22
% 56.87/8.94 |
% 56.87/8.94 | COMBINE_EQS: (972), (987) imply:
% 56.87/8.94 | (995) all_28_26 = e22
% 56.87/8.94 |
% 56.87/8.94 | COMBINE_EQS: (953), (987) imply:
% 56.87/8.94 | (996) all_28_24 = e22
% 56.87/8.94 |
% 56.87/8.94 | REDUCE: (157), (988) imply:
% 56.87/8.94 | (997) ~ (all_14_2 = all_10_0)
% 56.87/8.94 |
% 56.87/8.94 | REDUCE: (143), (988) imply:
% 56.87/8.94 | (998) ~ (all_14_6 = all_10_0)
% 56.87/8.94 |
% 56.87/8.94 | REDUCE: (129), (988) imply:
% 56.87/8.94 | (999) ~ (all_14_12 = all_10_0)
% 56.87/8.94 |
% 56.87/8.94 | REDUCE: (127), (988) imply:
% 56.87/8.94 | (1000) ~ (all_14_13 = all_10_0)
% 56.87/8.94 |
% 56.87/8.94 | REDUCE: (830), (988) imply:
% 56.87/8.94 | (1001) ~ (all_10_0 = all_4_2)
% 56.87/8.94 |
% 56.87/8.94 | REDUCE: (834), (988) imply:
% 56.87/8.94 | (1002) ~ (all_10_0 = e21)
% 56.87/8.94 |
% 56.87/8.94 | REDUCE: (50), (987) imply:
% 56.87/8.94 | (1003) h4(e12) = e22
% 56.87/8.94 |
% 56.87/8.94 | REDUCE: (49), (983) imply:
% 56.87/8.94 | (1004) h4(e11) = e21
% 56.87/8.94 |
% 56.87/8.94 | REDUCE: (922), (988) imply:
% 56.87/8.94 | (1005) op2(all_10_0, e21) = all_22_28
% 56.87/8.94 |
% 56.87/8.94 | REDUCE: (902), (986) imply:
% 56.87/8.94 | (1006) op2(all_10_0, all_4_2) = all_28_126
% 56.87/8.94 |
% 56.87/8.94 | REDUCE: (904), (986) imply:
% 56.87/8.94 | (1007) op2(all_4_2, all_4_2) = all_28_138
% 56.87/8.94 |
% 56.87/8.94 | REDUCE: (905), (986) imply:
% 56.87/8.94 | (1008) op2(all_4_2, e21) = all_28_141
% 56.87/8.94 |
% 56.87/8.94 | REDUCE: (879), (987) imply:
% 56.87/8.94 | (1009) op2(e22, e22) = all_28_10
% 56.87/8.94 |
% 56.87/8.94 | REDUCE: (880), (983), (987) imply:
% 56.87/8.94 | (1010) op2(e22, e21) = all_28_12
% 56.87/8.94 |
% 56.87/8.94 | REDUCE: (878), (987) imply:
% 56.87/8.94 | (1011) op2(e22, e23) = all_28_8
% 56.87/8.94 |
% 56.87/8.94 | REDUCE: (881), (987) imply:
% 56.87/8.94 | (1012) op2(e22, e20) = all_28_14
% 56.87/8.94 |
% 56.87/8.94 | REDUCE: (883), (983), (987) imply:
% 56.87/8.94 | (1013) op2(e21, e22) = all_28_18
% 56.87/8.94 |
% 56.87/8.94 | REDUCE: (884), (983) imply:
% 56.87/8.94 | (1014) op2(e21, e21) = all_28_20
% 56.87/8.94 |
% 56.87/8.94 | REDUCE: (882), (983) imply:
% 56.87/8.94 | (1015) op2(e21, e23) = all_28_16
% 56.87/8.94 |
% 56.87/8.94 | REDUCE: (885), (983) imply:
% 56.87/8.94 | (1016) op2(e21, e20) = all_28_22
% 56.87/8.94 |
% 56.87/8.94 | REDUCE: (875), (987) imply:
% 56.87/8.94 | (1017) op2(e23, e22) = all_28_2
% 56.87/8.94 |
% 56.87/8.94 | REDUCE: (876), (983) imply:
% 56.87/8.94 | (1018) op2(e23, e21) = all_28_4
% 56.87/8.94 |
% 56.87/8.94 | REDUCE: (900), (986) imply:
% 56.87/8.94 | (1019) op2(e20, all_4_2) = all_28_114
% 56.87/8.94 |
% 56.87/8.94 | REDUCE: (887), (987) imply:
% 56.87/8.94 | (1020) op2(e20, e22) = all_28_27
% 56.87/8.94 |
% 56.87/8.94 | REDUCE: (888), (983) imply:
% 56.87/8.94 | (1021) op2(e20, e21) = all_28_30
% 56.87/8.94 |
% 56.87/8.94 | GROUND_INST: instantiating (29) with all_14_11, all_28_30, e21, e20,
% 56.87/8.94 | simplifying with (172), (1021) gives:
% 56.87/8.94 | (1022) all_28_30 = all_14_11
% 56.87/8.94 |
% 56.87/8.94 | GROUND_INST: instantiating (29) with all_14_7, all_28_27, e22, e20,
% 56.87/8.94 | simplifying with (173), (1020) gives:
% 56.87/8.94 | (1023) all_28_27 = all_14_7
% 56.87/8.94 |
% 56.87/8.94 | GROUND_INST: instantiating (29) with all_10_0, all_28_22, e20, e21,
% 56.87/8.94 | simplifying with (925), (1016) gives:
% 56.87/8.94 | (1024) all_28_22 = all_10_0
% 56.87/8.94 |
% 56.87/8.94 | GROUND_INST: instantiating (29) with all_4_2, all_28_20, e21, e21, simplifying
% 56.87/8.94 | with (31), (1014) gives:
% 56.87/8.94 | (1025) all_28_20 = all_4_2
% 56.87/8.94 |
% 56.87/8.94 | GROUND_INST: instantiating (29) with all_14_6, all_28_18, e22, e21,
% 56.87/8.94 | simplifying with (177), (1013) gives:
% 56.87/8.94 | (1026) all_28_18 = all_14_6
% 56.87/8.94 |
% 56.87/8.94 | GROUND_INST: instantiating (29) with all_14_2, all_28_16, e23, e21,
% 56.87/8.94 | simplifying with (178), (1015) gives:
% 56.87/8.94 | (1027) all_28_16 = all_14_2
% 56.87/8.94 |
% 56.87/8.94 | GROUND_INST: instantiating (29) with all_14_13, all_28_14, e20, e22,
% 56.87/8.94 | simplifying with (179), (1012) gives:
% 56.87/8.94 | (1028) all_28_14 = all_14_13
% 56.87/8.94 |
% 56.87/8.94 | GROUND_INST: instantiating (29) with all_14_9, all_28_12, e21, e22,
% 56.87/8.94 | simplifying with (180), (1010) gives:
% 56.87/8.95 | (1029) all_28_12 = all_14_9
% 56.87/8.95 |
% 56.87/8.95 | GROUND_INST: instantiating (29) with all_6_2, all_28_10, e22, e22, simplifying
% 56.87/8.95 | with (37), (1009) gives:
% 56.87/8.95 | (1030) all_28_10 = all_6_2
% 56.87/8.95 |
% 56.87/8.95 | GROUND_INST: instantiating (29) with all_14_1, all_28_8, e23, e22, simplifying
% 56.87/8.95 | with (182), (1011) gives:
% 56.87/8.95 | (1031) all_28_8 = all_14_1
% 56.87/8.95 |
% 56.87/8.95 | GROUND_INST: instantiating (29) with all_14_8, all_28_4, e21, e23, simplifying
% 56.87/8.95 | with (184), (1018) gives:
% 56.87/8.95 | (1032) all_28_4 = all_14_8
% 56.87/8.95 |
% 56.87/8.95 | GROUND_INST: instantiating (29) with all_14_4, all_28_2, e22, e23, simplifying
% 56.87/8.95 | with (185), (1017) gives:
% 56.87/8.95 | (1033) all_28_2 = all_14_4
% 56.87/8.95 |
% 56.87/8.95 | GROUND_INST: instantiating (29) with all_4_0, all_28_141, e21, all_4_2,
% 56.87/8.95 | simplifying with (32), (1008) gives:
% 56.87/8.95 | (1034) all_28_141 = all_4_0
% 56.87/8.95 |
% 56.87/8.95 | GROUND_INST: instantiating (29) with all_4_1, all_28_138, all_4_2, all_4_2,
% 56.87/8.95 | simplifying with (33), (1007) gives:
% 56.87/8.95 | (1035) all_28_138 = all_4_1
% 56.87/8.95 |
% 56.87/8.95 | GROUND_INST: instantiating (29) with all_28_129, all_22_28, e21, all_10_0,
% 56.87/8.95 | simplifying with (903), (1005) gives:
% 56.87/8.95 | (1036) all_28_129 = all_22_28
% 56.87/8.95 |
% 56.87/8.95 | BETA: splitting (213) gives:
% 56.87/8.95 |
% 56.87/8.95 | Case 1:
% 56.87/8.95 | |
% 56.87/8.95 | | (1037) all_16_3 = e13
% 56.87/8.95 | |
% 56.87/8.95 | | COMBINE_EQS: (760), (1037) imply:
% 56.87/8.95 | | (1038) all_12_12 = e13
% 56.87/8.95 | |
% 56.87/8.95 | | SIMP: (1038) implies:
% 56.87/8.95 | | (1039) all_12_12 = e13
% 56.87/8.95 | |
% 56.87/8.95 | | COMBINE_EQS: (696), (1039) imply:
% 56.87/8.95 | | (1040) all_20_25 = e13
% 56.87/8.95 | |
% 56.87/8.95 | | COMBINE_EQS: (616), (1039) imply:
% 56.87/8.95 | | (1041) all_24_9 = e13
% 56.87/8.95 | |
% 56.87/8.95 | | REDUCE: (86), (1039) imply:
% 56.87/8.95 | | (1042) ~ (all_12_4 = e13)
% 56.87/8.95 | |
% 56.87/8.95 | | REDUCE: (73), (1039) imply:
% 56.87/8.95 | | (1043) ~ (all_12_8 = e13)
% 56.87/8.95 | |
% 56.87/8.95 | | REDUCE: (65), (1039) imply:
% 56.87/8.95 | | (1044) ~ (all_12_14 = e13)
% 56.87/8.95 | |
% 56.87/8.95 | | SIMP: (1044) implies:
% 56.87/8.95 | | (1045) ~ (all_12_14 = e13)
% 56.87/8.95 | |
% 56.87/8.95 | | REDUCE: (860), (1039) imply:
% 56.87/8.95 | | (1046) h4(e13) = all_28_7
% 56.87/8.95 | |
% 56.87/8.95 | | REDUCE: (940), (1039) imply:
% 56.87/8.95 | | (1047) op1(e13, e13) = all_20_24
% 56.87/8.95 | |
% 56.87/8.95 | | GROUND_INST: instantiating (28) with e10, all_20_24, e13, e13, simplifying
% 56.87/8.95 | | with (15), (1047) gives:
% 56.87/8.95 | | (1048) all_20_24 = e10
% 56.87/8.95 | |
% 56.87/8.95 | | GROUND_INST: instantiating (27) with e23, all_28_7, e13, simplifying with
% 56.87/8.95 | | (51), (1046) gives:
% 56.87/8.95 | | (1049) all_28_7 = e23
% 56.87/8.95 | |
% 56.87/8.95 | | BETA: splitting (212) gives:
% 56.87/8.95 | |
% 56.87/8.95 | | Case 1:
% 56.87/8.95 | | |
% 56.87/8.95 | | | (1050) all_16_4 = e13
% 56.87/8.95 | | |
% 56.87/8.95 | | | COMBINE_EQS: (741), (1050) imply:
% 56.87/8.95 | | | (1051) all_12_1 = e13
% 56.87/8.95 | | |
% 56.87/8.95 | | | SIMP: (1051) implies:
% 56.87/8.95 | | | (1052) all_12_1 = e13
% 56.87/8.95 | | |
% 56.87/8.95 | | | COMBINE_EQS: (681), (1052) imply:
% 56.87/8.95 | | | (1053) all_20_3 = e13
% 56.87/8.95 | | |
% 56.87/8.95 | | | COMBINE_EQS: (520), (1052) imply:
% 56.87/8.95 | | | (1054) all_24_2 = e13
% 56.87/8.95 | | |
% 56.87/8.95 | | | REDUCE: (99), (1052) imply:
% 56.87/8.95 | | | (1055) ~ (all_12_9 = e13)
% 56.87/8.95 | | |
% 56.87/8.95 | | | SIMP: (1055) implies:
% 56.87/8.95 | | | (1056) ~ (all_12_9 = e13)
% 56.87/8.95 | | |
% 56.87/8.95 | | | REDUCE: (929), (1052) imply:
% 56.87/8.95 | | | (1057) op1(e13, e12) = all_20_2
% 56.87/8.95 | | |
% 56.87/8.95 | | | REDUCE: (119), (1052) imply:
% 56.87/8.95 | | | (1058) op1(e12, e13) = e13
% 56.87/8.95 | | |
% 56.87/8.95 | | | BETA: splitting (350) gives:
% 56.87/8.95 | | |
% 56.87/8.95 | | | Case 1:
% 56.87/8.95 | | | |
% 56.87/8.95 | | | | (1059) all_24_0 = e11
% 56.87/8.95 | | | |
% 56.87/8.95 | | | | REF_CLOSE: (7), (610), (1059) are inconsistent by sub-proof #75.
% 56.87/8.95 | | | |
% 56.87/8.95 | | | Case 2:
% 56.87/8.95 | | | |
% 56.87/8.95 | | | | (1060) all_24_2 = e11 | all_24_6 = e11 | all_24_12 = e11
% 56.87/8.95 | | | |
% 56.87/8.95 | | | | BETA: splitting (1060) gives:
% 56.87/8.95 | | | |
% 56.87/8.95 | | | | Case 1:
% 56.87/8.95 | | | | |
% 56.87/8.95 | | | | | (1061) all_24_2 = e11
% 56.87/8.95 | | | | |
% 56.87/8.95 | | | | | REF_CLOSE: (8), (1054), (1061) are inconsistent by sub-proof #74.
% 56.87/8.95 | | | | |
% 56.87/8.95 | | | | Case 2:
% 56.87/8.95 | | | | |
% 56.87/8.95 | | | | | (1062) all_24_6 = e11 | all_24_12 = e11
% 56.87/8.95 | | | | |
% 56.87/8.95 | | | | | BETA: splitting (1062) gives:
% 56.87/8.95 | | | | |
% 56.87/8.95 | | | | | Case 1:
% 56.87/8.95 | | | | | |
% 56.87/8.95 | | | | | | (1063) all_24_6 = e11
% 56.87/8.95 | | | | | |
% 56.87/8.95 | | | | | | COMBINE_EQS: (627), (1063) imply:
% 56.87/8.95 | | | | | | (1064) all_12_2 = e11
% 56.87/8.95 | | | | | |
% 56.87/8.95 | | | | | | SIMP: (1064) implies:
% 56.87/8.95 | | | | | | (1065) all_12_2 = e11
% 56.87/8.95 | | | | | |
% 56.87/8.95 | | | | | | COMBINE_EQS: (690), (1065) imply:
% 56.87/8.95 | | | | | | (1066) all_20_5 = e11
% 56.87/8.95 | | | | | |
% 56.87/8.95 | | | | | | REDUCE: (96), (1065) imply:
% 56.87/8.95 | | | | | | (1067) ~ (all_12_6 = e11)
% 56.87/8.95 | | | | | |
% 56.87/8.95 | | | | | | SIMP: (1067) implies:
% 56.87/8.95 | | | | | | (1068) ~ (all_12_6 = e11)
% 56.87/8.95 | | | | | |
% 56.87/8.95 | | | | | | REDUCE: (95), (1065) imply:
% 56.87/8.95 | | | | | | (1069) ~ (all_12_10 = e11)
% 56.87/8.95 | | | | | |
% 56.87/8.95 | | | | | | SIMP: (1069) implies:
% 56.87/8.95 | | | | | | (1070) ~ (all_12_10 = e11)
% 56.87/8.95 | | | | | |
% 56.87/8.95 | | | | | | REDUCE: (94), (1065) imply:
% 56.87/8.95 | | | | | | (1071) ~ (all_12_14 = e11)
% 56.87/8.95 | | | | | |
% 56.87/8.95 | | | | | | REDUCE: (930), (1065) imply:
% 56.87/8.95 | | | | | | (1072) op1(e11, e11) = all_20_4
% 56.87/8.95 | | | | | |
% 56.87/8.95 | | | | | | GROUND_INST: instantiating (28) with all_12_10, all_20_4, e11, e11,
% 56.87/8.95 | | | | | | simplifying with (113), (1072) gives:
% 56.87/8.95 | | | | | | (1073) all_20_4 = all_12_10
% 56.87/8.95 | | | | | |
% 56.87/8.95 | | | | | | GROUND_INST: instantiating (28) with all_12_4, all_20_2, e12, e13,
% 56.87/8.95 | | | | | | simplifying with (122), (1057) gives:
% 56.87/8.95 | | | | | | (1074) all_20_2 = all_12_4
% 56.87/8.95 | | | | | |
% 56.87/8.95 | | | | | | BETA: splitting (282) gives:
% 56.87/8.95 | | | | | |
% 56.87/8.95 | | | | | | Case 1:
% 56.87/8.95 | | | | | | |
% 56.87/8.95 | | | | | | | (1075) all_20_0 = all_20_1
% 56.87/8.95 | | | | | | |
% 56.87/8.95 | | | | | | | COMBINE_EQS: (944), (1075) imply:
% 56.87/8.95 | | | | | | | (1076) all_20_1 = e12
% 56.87/8.95 | | | | | | |
% 56.87/8.95 | | | | | | | REF_CLOSE: (678), (840), (1076) are inconsistent by sub-proof #73.
% 56.87/8.95 | | | | | | |
% 56.87/8.95 | | | | | | Case 2:
% 56.87/8.95 | | | | | | |
% 56.87/8.95 | | | | | | | (1077) all_20_2 = all_20_3 | all_20_4 = all_20_5 | all_20_6 =
% 56.87/8.95 | | | | | | | all_20_7
% 56.87/8.95 | | | | | | |
% 56.87/8.95 | | | | | | | BETA: splitting (1077) gives:
% 56.87/8.95 | | | | | | |
% 56.87/8.95 | | | | | | | Case 1:
% 56.87/8.95 | | | | | | | |
% 56.87/8.95 | | | | | | | | (1078) all_20_2 = all_20_3
% 56.87/8.95 | | | | | | | |
% 56.87/8.95 | | | | | | | | COMBINE_EQS: (1074), (1078) imply:
% 56.87/8.95 | | | | | | | | (1079) all_20_3 = all_12_4
% 56.87/8.95 | | | | | | | |
% 56.87/8.95 | | | | | | | | COMBINE_EQS: (1053), (1079) imply:
% 56.87/8.95 | | | | | | | | (1080) all_12_4 = e13
% 56.87/8.95 | | | | | | | |
% 56.87/8.95 | | | | | | | | SIMP: (1080) implies:
% 56.87/8.95 | | | | | | | | (1081) all_12_4 = e13
% 56.87/8.95 | | | | | | | |
% 56.87/8.95 | | | | | | | | REDUCE: (1042), (1081) imply:
% 56.87/8.95 | | | | | | | | (1082) $false
% 56.87/8.95 | | | | | | | |
% 56.87/8.95 | | | | | | | | CLOSE: (1082) is inconsistent.
% 56.87/8.95 | | | | | | | |
% 56.87/8.95 | | | | | | | Case 2:
% 56.87/8.95 | | | | | | | |
% 56.87/8.95 | | | | | | | | (1083) all_20_4 = all_20_5 | all_20_6 = all_20_7
% 56.87/8.95 | | | | | | | |
% 56.87/8.95 | | | | | | | | BETA: splitting (1083) gives:
% 56.87/8.95 | | | | | | | |
% 56.87/8.95 | | | | | | | | Case 1:
% 56.87/8.95 | | | | | | | | |
% 56.87/8.95 | | | | | | | | | (1084) all_20_4 = all_20_5
% 56.87/8.95 | | | | | | | | |
% 56.87/8.95 | | | | | | | | | COMBINE_EQS: (1073), (1084) imply:
% 56.87/8.95 | | | | | | | | | (1085) all_20_5 = all_12_10
% 56.87/8.95 | | | | | | | | |
% 56.87/8.95 | | | | | | | | | REF_CLOSE: (1066), (1070), (1085) are inconsistent by
% 56.87/8.95 | | | | | | | | | sub-proof #72.
% 56.87/8.95 | | | | | | | | |
% 56.87/8.95 | | | | | | | | Case 2:
% 56.87/8.95 | | | | | | | | |
% 56.87/8.95 | | | | | | | | | (1086) all_20_6 = all_20_7
% 56.87/8.95 | | | | | | | | | (1087) ~ (all_20_4 = all_20_5)
% 56.87/8.95 | | | | | | | | |
% 56.87/8.95 | | | | | | | | | COMBINE_EQS: (946), (1086) imply:
% 56.87/8.95 | | | | | | | | | (1088) all_20_7 = all_12_13
% 56.87/8.95 | | | | | | | | |
% 56.87/8.95 | | | | | | | | | SIMP: (1088) implies:
% 56.87/8.95 | | | | | | | | | (1089) all_20_7 = all_12_13
% 56.87/8.95 | | | | | | | | |
% 56.87/8.95 | | | | | | | | | COMBINE_EQS: (487), (1089) imply:
% 56.87/8.95 | | | | | | | | | (1090) all_12_13 = e12
% 56.87/8.95 | | | | | | | | |
% 56.87/8.95 | | | | | | | | | SIMP: (1090) implies:
% 56.87/8.95 | | | | | | | | | (1091) all_12_13 = e12
% 56.87/8.95 | | | | | | | | |
% 56.87/8.95 | | | | | | | | | COMBINE_EQS: (698), (1091) imply:
% 56.87/8.95 | | | | | | | | | (1092) all_20_27 = e12
% 56.87/8.95 | | | | | | | | |
% 56.87/8.95 | | | | | | | | | COMBINE_EQS: (946), (1091) imply:
% 56.87/8.95 | | | | | | | | | (1093) all_20_6 = e12
% 56.87/8.95 | | | | | | | | |
% 56.87/8.95 | | | | | | | | | COMBINE_EQS: (625), (1091) imply:
% 56.87/8.95 | | | | | | | | | (1094) all_24_10 = e12
% 56.87/8.95 | | | | | | | | |
% 56.87/8.95 | | | | | | | | | REDUCE: (82), (1091) imply:
% 56.87/8.95 | | | | | | | | | (1095) ~ (all_12_5 = e12)
% 56.87/8.95 | | | | | | | | |
% 56.87/8.95 | | | | | | | | | REDUCE: (70), (1091) imply:
% 56.87/8.95 | | | | | | | | | (1096) ~ (all_12_9 = e12)
% 56.87/8.95 | | | | | | | | |
% 56.87/8.95 | | | | | | | | | REDUCE: (63), (1091) imply:
% 56.87/8.95 | | | | | | | | | (1097) ~ (all_12_14 = e12)
% 56.87/8.95 | | | | | | | | |
% 56.87/8.95 | | | | | | | | | SIMP: (1097) implies:
% 56.87/8.95 | | | | | | | | | (1098) ~ (all_12_14 = e12)
% 56.87/8.95 | | | | | | | | |
% 56.87/8.95 | | | | | | | | | REDUCE: (941), (1091) imply:
% 56.87/8.95 | | | | | | | | | (1099) op1(e12, e12) = all_20_26
% 56.87/8.95 | | | | | | | | |
% 56.87/8.95 | | | | | | | | | BETA: splitting (206) gives:
% 56.87/8.95 | | | | | | | | |
% 56.87/8.95 | | | | | | | | | Case 1:
% 56.87/8.95 | | | | | | | | | |
% 56.87/8.95 | | | | | | | | | | (1100) all_16_11 = e13
% 56.87/8.95 | | | | | | | | | |
% 56.87/8.95 | | | | | | | | | | COMBINE_EQS: (762), (1100) imply:
% 56.87/8.95 | | | | | | | | | | (1101) all_12_14 = e13
% 56.87/8.95 | | | | | | | | | |
% 56.87/8.95 | | | | | | | | | | REDUCE: (1045), (1101) imply:
% 56.87/8.95 | | | | | | | | | | (1102) $false
% 56.87/8.95 | | | | | | | | | |
% 56.87/8.95 | | | | | | | | | | CLOSE: (1102) is inconsistent.
% 56.87/8.95 | | | | | | | | | |
% 56.87/8.95 | | | | | | | | | Case 2:
% 56.87/8.95 | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | (1103) ~ (all_16_11 = e13)
% 56.87/8.96 | | | | | | | | | | (1104) all_16_11 = e12 | all_16_11 = e11 | all_16_11 =
% 56.87/8.96 | | | | | | | | | | e10
% 56.87/8.96 | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | BETA: splitting (1104) gives:
% 56.87/8.96 | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | Case 1:
% 56.87/8.96 | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | (1105) all_16_11 = e10
% 56.87/8.96 | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | COMBINE_EQS: (762), (1105) imply:
% 56.87/8.96 | | | | | | | | | | | (1106) all_12_14 = e10
% 56.87/8.96 | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | COMBINE_EQS: (945), (1106) imply:
% 56.87/8.96 | | | | | | | | | | | (1107) all_20_30 = e10
% 56.87/8.96 | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | COMBINE_EQS: (700), (1106) imply:
% 56.87/8.96 | | | | | | | | | | | (1108) all_20_29 = e10
% 56.87/8.96 | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | REDUCE: (1045), (1106) imply:
% 56.87/8.96 | | | | | | | | | | | (1109) ~ (e13 = e10)
% 56.87/8.96 | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | SIMP: (1109) implies:
% 56.87/8.96 | | | | | | | | | | | (1110) ~ (e13 = e10)
% 56.87/8.96 | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | REDUCE: (856), (1106) imply:
% 56.87/8.96 | | | | | | | | | | | (1111) ~ (e11 = e10)
% 56.87/8.96 | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | REDUCE: (942), (1106) imply:
% 56.87/8.96 | | | | | | | | | | | (1112) op1(e10, e11) = all_20_28
% 56.87/8.96 | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | GROUND_INST: instantiating (28) with all_12_11, all_20_28, e11,
% 56.87/8.96 | | | | | | | | | | | e10, simplifying with (109), (1112) gives:
% 56.87/8.96 | | | | | | | | | | | (1113) all_20_28 = all_12_11
% 56.87/8.96 | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | GROUND_INST: instantiating (28) with all_12_5, all_20_26, e12,
% 56.87/8.96 | | | | | | | | | | | e12, simplifying with (118), (1099) gives:
% 56.87/8.96 | | | | | | | | | | | (1114) all_20_26 = all_12_5
% 56.87/8.96 | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | BETA: splitting (279) gives:
% 56.87/8.96 | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | Case 1:
% 56.87/8.96 | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | (1115) all_20_24 = all_20_25
% 56.87/8.96 | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | COMBINE_EQS: (1048), (1115) imply:
% 56.87/8.96 | | | | | | | | | | | | (1116) all_20_25 = e10
% 56.87/8.96 | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | SIMP: (1116) implies:
% 56.87/8.96 | | | | | | | | | | | | (1117) all_20_25 = e10
% 56.87/8.96 | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | COMBINE_EQS: (1040), (1117) imply:
% 56.87/8.96 | | | | | | | | | | | | (1118) e13 = e10
% 56.87/8.96 | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | REDUCE: (1110), (1118) imply:
% 56.87/8.96 | | | | | | | | | | | | (1119) $false
% 56.87/8.96 | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | CLOSE: (1119) is inconsistent.
% 56.87/8.96 | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | Case 2:
% 56.87/8.96 | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | (1120) all_20_26 = all_20_27 | all_20_28 = all_20_29 |
% 56.87/8.96 | | | | | | | | | | | | all_20_30 = all_20_31
% 56.87/8.96 | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | BETA: splitting (1120) gives:
% 56.87/8.96 | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | Case 1:
% 56.87/8.96 | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | (1121) all_20_26 = all_20_27
% 56.87/8.96 | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | COMBINE_EQS: (1114), (1121) imply:
% 56.87/8.96 | | | | | | | | | | | | | (1122) all_20_27 = all_12_5
% 56.87/8.96 | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | SIMP: (1122) implies:
% 56.87/8.96 | | | | | | | | | | | | | (1123) all_20_27 = all_12_5
% 56.87/8.96 | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | COMBINE_EQS: (1092), (1123) imply:
% 56.87/8.96 | | | | | | | | | | | | | (1124) all_12_5 = e12
% 56.87/8.96 | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | SIMP: (1124) implies:
% 56.87/8.96 | | | | | | | | | | | | | (1125) all_12_5 = e12
% 56.87/8.96 | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | REDUCE: (1095), (1125) imply:
% 56.87/8.96 | | | | | | | | | | | | | (1126) $false
% 56.87/8.96 | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | CLOSE: (1126) is inconsistent.
% 56.87/8.96 | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | Case 2:
% 56.87/8.96 | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | (1127) all_20_28 = all_20_29 | all_20_30 = all_20_31
% 56.87/8.96 | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | BETA: splitting (1127) gives:
% 56.87/8.96 | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | Case 1:
% 56.87/8.96 | | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | | (1128) all_20_28 = all_20_29
% 56.87/8.96 | | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | | COMBINE_EQS: (1113), (1128) imply:
% 56.87/8.96 | | | | | | | | | | | | | | (1129) all_20_29 = all_12_11
% 56.87/8.96 | | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | | SIMP: (1129) implies:
% 56.87/8.96 | | | | | | | | | | | | | | (1130) all_20_29 = all_12_11
% 56.87/8.96 | | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | | COMBINE_EQS: (1108), (1130) imply:
% 56.87/8.96 | | | | | | | | | | | | | | (1131) all_12_11 = e10
% 56.87/8.96 | | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | | SIMP: (1131) implies:
% 56.87/8.96 | | | | | | | | | | | | | | (1132) all_12_11 = e10
% 56.87/8.96 | | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | | COMBINE_EQS: (705), (1132) imply:
% 56.87/8.96 | | | | | | | | | | | | | | (1133) all_20_23 = e10
% 56.87/8.96 | | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | | COMBINE_EQS: (639), (1132) imply:
% 56.87/8.96 | | | | | | | | | | | | | | (1134) all_24_14 = e10
% 56.87/8.96 | | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | | REDUCE: (78), (1132) imply:
% 56.87/8.96 | | | | | | | | | | | | | | (1135) ~ (all_12_7 = e10)
% 56.87/8.96 | | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | | REDUCE: (71), (1132) imply:
% 56.87/8.96 | | | | | | | | | | | | | | (1136) ~ (all_12_9 = e10)
% 56.87/8.96 | | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | | REDUCE: (69), (1132) imply:
% 56.87/8.96 | | | | | | | | | | | | | | (1137) ~ (all_12_10 = e10)
% 56.87/8.96 | | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | | REDUCE: (939), (1132) imply:
% 56.87/8.96 | | | | | | | | | | | | | | (1138) op1(e10, e10) = all_20_22
% 56.87/8.96 | | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | | BETA: splitting (205) gives:
% 56.87/8.96 | | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | | Case 1:
% 56.87/8.96 | | | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | | | (1139) all_16_13 = e13
% 56.87/8.96 | | | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | | | COMBINE_EQS: (752), (1139) imply:
% 56.87/8.96 | | | | | | | | | | | | | | | (1140) all_12_7 = e13
% 56.87/8.96 | | | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | | | SIMP: (1140) implies:
% 56.87/8.96 | | | | | | | | | | | | | | | (1141) all_12_7 = e13
% 56.87/8.96 | | | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | | | REDUCE: (81), (1141) imply:
% 56.87/8.96 | | | | | | | | | | | | | | | (1142) ~ (all_12_6 = e13)
% 56.87/8.96 | | | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 56.87/8.96 | | | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | | | Case 1:
% 56.87/8.96 | | | | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | | | | (1143) all_16_9 = e13
% 56.87/8.96 | | | | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | | | | REF_CLOSE: (750), (1142), (1143) are inconsistent by
% 56.87/8.96 | | | | | | | | | | | | | | | | sub-proof #71.
% 56.87/8.96 | | | | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | | | Case 2:
% 56.87/8.96 | | | | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | | | | (1144) all_16_9 = e12 | all_16_9 = e11 | all_16_9 = e10
% 56.87/8.96 | | | | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | | | | BETA: splitting (343) gives:
% 56.87/8.96 | | | | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | | | | Case 1:
% 56.87/8.96 | | | | | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | | | | | (1145) all_24_4 = e13
% 56.87/8.96 | | | | | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | | | | | REF_CLOSE: (528), (1043), (1145) are inconsistent by
% 56.87/8.96 | | | | | | | | | | | | | | | | | sub-proof #70.
% 56.87/8.96 | | | | | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | | | | Case 2:
% 56.87/8.96 | | | | | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | | | | | (1146) all_24_5 = e13 | all_24_8 = e13 | all_24_14 = e13
% 56.87/8.96 | | | | | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | | | | | BETA: splitting (1146) gives:
% 56.87/8.96 | | | | | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | | | | | Case 1:
% 56.87/8.96 | | | | | | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | | | | | | (1147) all_24_5 = e13
% 56.87/8.96 | | | | | | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (511), (1147) imply:
% 56.87/8.96 | | | | | | | | | | | | | | | | | | (1148) all_12_9 = e13
% 56.87/8.96 | | | | | | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | | | | | | SIMP: (1148) implies:
% 56.87/8.96 | | | | | | | | | | | | | | | | | | (1149) all_12_9 = e13
% 56.87/8.96 | | | | | | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | | | | | | REDUCE: (1056), (1149) imply:
% 56.87/8.96 | | | | | | | | | | | | | | | | | | (1150) $false
% 56.87/8.96 | | | | | | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | | | | | | CLOSE: (1150) is inconsistent.
% 56.87/8.96 | | | | | | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | | | | | Case 2:
% 56.87/8.96 | | | | | | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | | | | | | (1151) all_24_8 = e13 | all_24_14 = e13
% 56.87/8.96 | | | | | | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | | | | | | BETA: splitting (1151) gives:
% 56.87/8.96 | | | | | | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | | | | | | Case 1:
% 56.87/8.96 | | | | | | | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | (1152) all_24_8 = e13
% 56.87/8.96 | | | | | | | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (496), (1152) imply:
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | (1153) all_12_10 = e13
% 56.87/8.96 | | | | | | | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | SIMP: (1153) implies:
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | (1154) all_12_10 = e13
% 56.87/8.96 | | | | | | | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (693), (1154) imply:
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | (1155) all_20_21 = e13
% 56.87/8.96 | | | | | | | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | REDUCE: (938), (1154) imply:
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | (1156) op1(e13, e11) = all_20_20
% 56.87/8.96 | | | | | | | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | BETA: splitting (344) gives:
% 56.87/8.96 | | | | | | | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | Case 1:
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | (1157) all_24_2 = e10
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1054), (1157) imply:
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | (1158) e13 = e10
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | SIMP: (1158) implies:
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | (1159) e13 = e10
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | REDUCE: (1110), (1159) imply:
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | (1160) $false
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | CLOSE: (1160) is inconsistent.
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | Case 2:
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | (1161) all_24_3 = e10 | all_24_5 = e10 | all_24_10 = e10
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | BETA: splitting (1161) gives:
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | | (1162) all_24_3 = e10
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (620), (1162) imply:
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | | (1163) all_12_5 = e10
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | | SIMP: (1163) implies:
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | | (1164) all_12_5 = e10
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | | REDUCE: (85), (1164) imply:
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | | (1165) ~ (all_12_6 = e10)
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | | SIMP: (1165) implies:
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | | (1166) ~ (all_12_6 = e10)
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | | REDUCE: (83), (1164) imply:
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | | (1167) ~ (all_12_9 = e10)
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1144) gives:
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | | | (1168) all_16_9 = e10
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (750), (1166), (1168) are inconsistent by
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | | | sub-proof #69.
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | | | (1169) ~ (all_16_9 = e10)
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | | | (1170) all_16_9 = e12 | all_16_9 = e11
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1170) gives:
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | | | | (1171) all_16_9 = e12
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (750), (1171) imply:
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | | | | (1172) all_12_6 = e12
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1172) implies:
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | | | | (1173) all_12_6 = e12
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (89), (1173) imply:
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | | | | (1174) ~ (all_12_4 = e12)
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1142), (1173) imply:
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | | | | (1175) ~ (e13 = e12)
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1175) implies:
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | | | | (1176) ~ (e13 = e12)
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (114), (1173) imply:
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | | | | (1177) op1(e11, e12) = e12
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (214) gives:
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | | | | | (1178) all_16_1 = e13
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (746), (1178) imply:
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | | | | | (1179) all_12_4 = e13
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1179) implies:
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | | | | | (1180) all_12_4 = e13
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1042), (1180) imply:
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | | | | | (1181) $false
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1181) is inconsistent.
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | | | | | (1182) ~ (all_16_1 = e13)
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | | | | | (1183) all_16_1 = e12 | all_16_1 = e11 | all_16_1 = e10
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1183) gives:
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | (1184) all_16_1 = e10
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (746), (842), (1184) are inconsistent by sub-proof
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | #68.
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.96 | | | | | | | | | | | | | | | | | | | | | | | | | (1185) ~ (all_16_1 = e10)
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | (1186) all_16_1 = e12 | all_16_1 = e11
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1186) gives:
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (1187) all_16_1 = e12
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (746), (1174), (1187) are inconsistent by
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #67.
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (1188) all_16_1 = e11
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (746), (1188) imply:
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (1189) all_12_4 = e11
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1189) implies:
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (1190) all_12_4 = e11
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (87), (1190) imply:
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (1191) ~ (all_12_8 = e11)
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1191) implies:
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (1192) ~ (all_12_8 = e11)
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1042), (1190) imply:
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (1193) ~ (e13 = e11)
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (345) gives:
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1194) all_24_2 = e11
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1054), (1194) are inconsistent by sub-proof
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | #74.
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1195) all_24_3 = e11 | all_24_5 = e11 | all_24_10 = e11
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (342) gives:
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1196) all_24_4 = e12
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (528), (1196) imply:
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1197) all_12_8 = e12
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1197) implies:
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1198) all_12_8 = e12
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (685), (1198) imply:
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1199) all_20_17 = e12
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (76), (1198) imply:
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1200) ~ (all_12_9 = e12)
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (936), (1198) imply:
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1201) op1(e12, e13) = all_20_16
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (121), (1198) imply:
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1202) op1(e13, e11) = e12
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1195) gives:
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1203) all_24_3 = e11
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1162), (1203) imply:
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1204) e11 = e10
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (1204) imply:
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1205) $false
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1205) is inconsistent.
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1206) all_24_5 = e11 | all_24_10 = e11
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1206) gives:
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1207) all_24_5 = e11
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (511), (1207) imply:
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1208) all_12_9 = e11
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1208) implies:
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1209) all_12_9 = e11
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (688), (1209) imply:
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1210) all_20_19 = e11
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1096), (1209) imply:
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1211) ~ (e12 = e11)
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (937), (1209) imply:
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1212) op1(e11, e12) = all_20_18
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with e11, all_20_22, e10, e10,
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (13), (1138) gives:
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1213) all_20_22 = e11
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with e12, all_20_18, e12, e11,
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1177), (1212) gives:
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1214) all_20_18 = e12
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with e13, all_20_16, e13, e12,
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1058), (1201) gives:
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1215) all_20_16 = e13
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with e12, all_20_20, e11, e13,
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1156), (1202) gives:
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1216) all_20_20 = e12
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (280) gives:
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1217) all_20_16 = all_20_17
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1215), (1217) imply:
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1218) all_20_17 = e13
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1199), (1218) imply:
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1219) e13 = e12
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1219) implies:
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1220) e13 = e12
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1176), (1220) imply:
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1221) $false
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1221) is inconsistent.
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1222) ~ (all_20_16 = all_20_17)
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1223) all_20_18 = all_20_19 | all_20_20 = all_20_21 |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_20_22 = all_20_23
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1223) gives:
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1224) all_20_18 = all_20_19
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1214), (1224) imply:
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1225) all_20_19 = e12
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1210), (1225) imply:
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1226) e12 = e11
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1226) implies:
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1227) e12 = e11
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (851), (1227) imply:
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1228) $false
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1228) is inconsistent.
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1229) all_20_20 = all_20_21 | all_20_22 = all_20_23
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1133), (1155), (1176), (1213), (1216),
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1229) are inconsistent by sub-proof #65.
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1230) all_24_10 = e11
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1094), (1230) imply:
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1231) e12 = e11
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1231) implies:
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1232) e12 = e11
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (851), (1232) imply:
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1233) $false
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1233) is inconsistent.
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1234) all_24_5 = e12 | all_24_8 = e12 | all_24_14 = e12
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1234) gives:
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1235) all_24_5 = e12
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (511), (1235) imply:
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1236) all_12_9 = e12
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1236) implies:
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1237) all_12_9 = e12
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1096), (1237) imply:
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1238) $false
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1238) is inconsistent.
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1239) all_24_8 = e12 | all_24_14 = e12
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1239) gives:
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1240) all_24_8 = e12
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1152), (1240) imply:
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1241) e13 = e12
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1241) implies:
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1242) e13 = e12
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1176), (1242) imply:
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1243) $false
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1243) is inconsistent.
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1244) all_24_14 = e12
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1134), (1244) imply:
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1245) e12 = e10
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1093), (1245) imply:
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1246) all_20_6 = e10
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (487), (840), (1066), (1070), (1073), (1083),
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1246) are inconsistent by sub-proof #64.
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | (1247) all_16_9 = e11
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (750), (1068), (1247) are inconsistent by
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #63.
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | End of split
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | End of split
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | (1248) all_24_5 = e10 | all_24_10 = e10
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1248) gives:
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | (1249) all_24_5 = e10
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (511), (1249) imply:
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | (1250) all_12_9 = e10
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | SIMP: (1250) implies:
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | (1251) all_12_9 = e10
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1136), (1251) imply:
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | (1252) $false
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1252) is inconsistent.
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.97 | | | | | | | | | | | | | | | | | | | | | | (1253) all_24_10 = e10
% 56.87/8.98 | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.98 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1094), (1253) imply:
% 56.87/8.98 | | | | | | | | | | | | | | | | | | | | | | (1254) e12 = e10
% 56.87/8.98 | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.98 | | | | | | | | | | | | | | | | | | | | | | SIMP: (1254) implies:
% 56.87/8.98 | | | | | | | | | | | | | | | | | | | | | | (1255) e12 = e10
% 56.87/8.98 | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.98 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1093), (1255) imply:
% 56.87/8.98 | | | | | | | | | | | | | | | | | | | | | | (1256) all_20_6 = e10
% 56.87/8.98 | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.98 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (487), (840), (1066), (1070), (1073), (1083),
% 56.87/8.98 | | | | | | | | | | | | | | | | | | | | | | (1256) are inconsistent by sub-proof #64.
% 56.87/8.98 | | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.98 | | | | | | | | | | | | | | | | | | | | | End of split
% 56.87/8.98 | | | | | | | | | | | | | | | | | | | | |
% 56.87/8.98 | | | | | | | | | | | | | | | | | | | | End of split
% 56.87/8.98 | | | | | | | | | | | | | | | | | | | |
% 56.87/8.98 | | | | | | | | | | | | | | | | | | | End of split
% 56.87/8.98 | | | | | | | | | | | | | | | | | | |
% 56.87/8.98 | | | | | | | | | | | | | | | | | | Case 2:
% 56.87/8.98 | | | | | | | | | | | | | | | | | | |
% 56.87/8.98 | | | | | | | | | | | | | | | | | | | (1257) all_24_14 = e13
% 56.87/8.98 | | | | | | | | | | | | | | | | | | |
% 56.87/8.98 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1134), (1257) imply:
% 56.87/8.98 | | | | | | | | | | | | | | | | | | | (1258) e13 = e10
% 56.87/8.98 | | | | | | | | | | | | | | | | | | |
% 56.87/8.98 | | | | | | | | | | | | | | | | | | | REDUCE: (1110), (1258) imply:
% 56.87/8.98 | | | | | | | | | | | | | | | | | | | (1259) $false
% 56.87/8.98 | | | | | | | | | | | | | | | | | | |
% 56.87/8.98 | | | | | | | | | | | | | | | | | | | CLOSE: (1259) is inconsistent.
% 56.87/8.98 | | | | | | | | | | | | | | | | | | |
% 56.87/8.98 | | | | | | | | | | | | | | | | | | End of split
% 56.87/8.98 | | | | | | | | | | | | | | | | | |
% 56.87/8.98 | | | | | | | | | | | | | | | | | End of split
% 56.87/8.98 | | | | | | | | | | | | | | | | |
% 56.87/8.98 | | | | | | | | | | | | | | | | End of split
% 56.87/8.98 | | | | | | | | | | | | | | | |
% 56.87/8.98 | | | | | | | | | | | | | | | End of split
% 56.87/8.98 | | | | | | | | | | | | | | |
% 56.87/8.98 | | | | | | | | | | | | | | Case 2:
% 56.87/8.98 | | | | | | | | | | | | | | |
% 56.87/8.98 | | | | | | | | | | | | | | | (1260) all_16_13 = e12 | all_16_13 = e11 | all_16_13 =
% 56.87/8.98 | | | | | | | | | | | | | | | e10
% 56.87/8.98 | | | | | | | | | | | | | | |
% 56.87/8.98 | | | | | | | | | | | | | | | REF_CLOSE: (752), (848), (852), (1135), (1260) are
% 56.87/8.98 | | | | | | | | | | | | | | | inconsistent by sub-proof #61.
% 56.87/8.98 | | | | | | | | | | | | | | |
% 56.87/8.98 | | | | | | | | | | | | | | End of split
% 56.87/8.98 | | | | | | | | | | | | | |
% 56.87/8.98 | | | | | | | | | | | | | Case 2:
% 56.87/8.98 | | | | | | | | | | | | | |
% 56.87/8.98 | | | | | | | | | | | | | | (1261) all_20_30 = all_20_31
% 56.87/8.98 | | | | | | | | | | | | | |
% 56.87/8.98 | | | | | | | | | | | | | | COMBINE_EQS: (1107), (1261) imply:
% 56.87/8.98 | | | | | | | | | | | | | | (1262) all_20_31 = e10
% 56.87/8.98 | | | | | | | | | | | | | |
% 56.87/8.98 | | | | | | | | | | | | | | SIMP: (1262) implies:
% 56.87/8.98 | | | | | | | | | | | | | | (1263) all_20_31 = e10
% 56.87/8.98 | | | | | | | | | | | | | |
% 56.87/8.98 | | | | | | | | | | | | | | COMBINE_EQS: (707), (1263) imply:
% 56.87/8.98 | | | | | | | | | | | | | | (1264) e11 = e10
% 56.87/8.98 | | | | | | | | | | | | | |
% 56.87/8.98 | | | | | | | | | | | | | | REDUCE: (7), (1264) imply:
% 56.87/8.98 | | | | | | | | | | | | | | (1265) $false
% 56.87/8.98 | | | | | | | | | | | | | |
% 56.87/8.98 | | | | | | | | | | | | | | CLOSE: (1265) is inconsistent.
% 56.87/8.98 | | | | | | | | | | | | | |
% 56.87/8.98 | | | | | | | | | | | | | End of split
% 56.87/8.98 | | | | | | | | | | | | |
% 56.87/8.98 | | | | | | | | | | | | End of split
% 56.87/8.98 | | | | | | | | | | | |
% 56.87/8.98 | | | | | | | | | | | End of split
% 56.87/8.98 | | | | | | | | | | |
% 56.87/8.98 | | | | | | | | | | Case 2:
% 56.87/8.98 | | | | | | | | | | |
% 56.87/8.98 | | | | | | | | | | | (1266) all_16_11 = e12 | all_16_11 = e11
% 56.87/8.98 | | | | | | | | | | |
% 56.87/8.98 | | | | | | | | | | | REF_CLOSE: (762), (856), (1098), (1266) are inconsistent by
% 56.87/8.98 | | | | | | | | | | | sub-proof #60.
% 56.87/8.98 | | | | | | | | | | |
% 56.87/8.98 | | | | | | | | | | End of split
% 56.87/8.98 | | | | | | | | | |
% 56.87/8.98 | | | | | | | | | End of split
% 56.87/8.98 | | | | | | | | |
% 56.87/8.98 | | | | | | | | End of split
% 56.87/8.98 | | | | | | | |
% 56.87/8.98 | | | | | | | End of split
% 56.87/8.98 | | | | | | |
% 56.87/8.98 | | | | | | End of split
% 56.87/8.98 | | | | | |
% 56.87/8.98 | | | | | Case 2:
% 56.87/8.98 | | | | | |
% 56.87/8.98 | | | | | | (1267) all_24_12 = e11
% 56.87/8.98 | | | | | |
% 56.87/8.98 | | | | | | REF_CLOSE: (782), (851), (1267) are inconsistent by sub-proof #59.
% 56.87/8.98 | | | | | |
% 56.87/8.98 | | | | | End of split
% 56.87/8.98 | | | | |
% 56.87/8.98 | | | | End of split
% 56.87/8.98 | | | |
% 56.87/8.98 | | | End of split
% 56.87/8.98 | | |
% 56.87/8.98 | | Case 2:
% 56.87/8.98 | | |
% 56.87/8.98 | | | (1268) all_16_4 = e12 | all_16_4 = e11 | all_16_4 = e10
% 56.87/8.98 | | |
% 56.87/8.98 | | | BETA: splitting (1268) gives:
% 56.87/8.98 | | |
% 56.87/8.98 | | | Case 1:
% 56.87/8.98 | | | |
% 56.87/8.98 | | | | (1269) all_16_4 = e10
% 56.87/8.98 | | | |
% 56.87/8.98 | | | | REF_CLOSE: (741), (836), (1269) are inconsistent by sub-proof #58.
% 56.87/8.98 | | | |
% 56.87/8.98 | | | Case 2:
% 56.87/8.98 | | | |
% 56.87/8.98 | | | | (1270) all_16_4 = e12 | all_16_4 = e11
% 56.87/8.98 | | | |
% 56.87/8.98 | | | | BETA: splitting (1270) gives:
% 56.87/8.98 | | | |
% 56.87/8.98 | | | | Case 1:
% 56.87/8.98 | | | | |
% 56.87/8.98 | | | | | (1271) all_16_4 = e12
% 56.87/8.98 | | | | |
% 56.87/8.98 | | | | | REF_CLOSE: (741), (845), (1271) are inconsistent by sub-proof #57.
% 56.87/8.98 | | | | |
% 56.87/8.98 | | | | Case 2:
% 56.87/8.98 | | | | |
% 56.87/8.98 | | | | | (1272) all_16_4 = e11
% 56.87/8.98 | | | | |
% 56.87/8.98 | | | | | COMBINE_EQS: (741), (1272) imply:
% 56.87/8.98 | | | | | (1273) all_12_1 = e11
% 56.87/8.98 | | | | |
% 56.87/8.98 | | | | | SIMP: (1273) implies:
% 56.87/8.98 | | | | | (1274) all_12_1 = e11
% 56.87/8.98 | | | | |
% 56.87/8.98 | | | | | COMBINE_EQS: (681), (1274) imply:
% 56.87/8.98 | | | | | (1275) all_20_3 = e11
% 56.87/8.98 | | | | |
% 56.87/8.98 | | | | | REDUCE: (102), (1274) imply:
% 56.87/8.98 | | | | | (1276) ~ (all_12_2 = e11)
% 56.87/8.98 | | | | |
% 56.87/8.98 | | | | | SIMP: (1276) implies:
% 56.87/8.98 | | | | | (1277) ~ (all_12_2 = e11)
% 56.87/8.98 | | | | |
% 56.87/8.98 | | | | | REDUCE: (100), (1274) imply:
% 56.87/8.98 | | | | | (1278) ~ (all_12_5 = e11)
% 56.87/8.98 | | | | |
% 56.87/8.98 | | | | | SIMP: (1278) implies:
% 56.87/8.98 | | | | | (1279) ~ (all_12_5 = e11)
% 56.87/8.98 | | | | |
% 56.87/8.98 | | | | | REDUCE: (99), (1274) imply:
% 56.87/8.98 | | | | | (1280) ~ (all_12_9 = e11)
% 56.87/8.98 | | | | |
% 56.87/8.98 | | | | | SIMP: (1280) implies:
% 56.87/8.98 | | | | | (1281) ~ (all_12_9 = e11)
% 56.87/8.98 | | | | |
% 56.87/8.98 | | | | | REDUCE: (98), (1274) imply:
% 56.87/8.98 | | | | | (1282) ~ (all_12_13 = e11)
% 56.87/8.98 | | | | |
% 56.87/8.98 | | | | | REDUCE: (845), (1274) imply:
% 56.87/8.98 | | | | | (1283) ~ (e12 = e11)
% 56.87/8.98 | | | | |
% 56.87/8.98 | | | | | REDUCE: (861), (1274) imply:
% 56.87/8.98 | | | | | (1284) h4(e11) = all_28_9
% 56.87/8.98 | | | | |
% 56.87/8.98 | | | | | REDUCE: (929), (1274) imply:
% 56.87/8.98 | | | | | (1285) op1(e11, e12) = all_20_2
% 56.87/8.98 | | | | |
% 56.87/8.98 | | | | | REDUCE: (119), (1274) imply:
% 56.87/8.98 | | | | | (1286) op1(e12, e13) = e11
% 56.87/8.98 | | | | |
% 56.87/8.98 | | | | | BETA: splitting (209) gives:
% 56.87/8.98 | | | | |
% 56.87/8.98 | | | | | Case 1:
% 56.87/8.98 | | | | | |
% 56.87/8.98 | | | | | | (1287) all_16_8 = e13
% 56.87/8.98 | | | | | |
% 56.87/8.98 | | | | | | COMBINE_EQS: (742), (1287) imply:
% 56.87/8.98 | | | | | | (1288) all_12_2 = e13
% 56.87/8.98 | | | | | |
% 56.87/8.98 | | | | | | SIMP: (1288) implies:
% 56.87/8.98 | | | | | | (1289) all_12_2 = e13
% 56.87/8.98 | | | | | |
% 56.87/8.98 | | | | | | COMBINE_EQS: (690), (1289) imply:
% 56.87/8.98 | | | | | | (1290) all_20_5 = e13
% 56.87/8.98 | | | | | |
% 56.87/8.98 | | | | | | COMBINE_EQS: (627), (1289) imply:
% 56.87/8.98 | | | | | | (1291) all_24_6 = e13
% 56.87/8.98 | | | | | |
% 56.87/8.98 | | | | | | REDUCE: (96), (1289) imply:
% 56.87/8.98 | | | | | | (1292) ~ (all_12_6 = e13)
% 56.87/8.98 | | | | | |
% 56.87/8.98 | | | | | | SIMP: (1292) implies:
% 56.87/8.98 | | | | | | (1293) ~ (all_12_6 = e13)
% 56.87/8.98 | | | | | |
% 56.87/8.98 | | | | | | REDUCE: (95), (1289) imply:
% 56.87/8.98 | | | | | | (1294) ~ (all_12_10 = e13)
% 56.87/8.98 | | | | | |
% 56.87/8.98 | | | | | | SIMP: (1294) implies:
% 56.87/8.98 | | | | | | (1295) ~ (all_12_10 = e13)
% 56.87/8.98 | | | | | |
% 56.87/8.98 | | | | | | REDUCE: (865), (1289) imply:
% 56.87/8.98 | | | | | | (1296) h4(e13) = all_28_17
% 56.87/8.98 | | | | | |
% 56.87/8.98 | | | | | | REDUCE: (930), (1289) imply:
% 56.87/8.98 | | | | | | (1297) op1(e13, e11) = all_20_4
% 56.87/8.98 | | | | | |
% 56.87/8.98 | | | | | | REDUCE: (115), (1289) imply:
% 56.87/8.98 | | | | | | (1298) op1(e11, e13) = e13
% 56.87/8.98 | | | | | |
% 56.87/8.98 | | | | | | GROUND_INST: instantiating (28) with all_12_6, all_20_2, e12, e11,
% 56.87/8.98 | | | | | | simplifying with (114), (1285) gives:
% 56.87/8.98 | | | | | | (1299) all_20_2 = all_12_6
% 56.87/8.98 | | | | | |
% 56.87/8.98 | | | | | | GROUND_INST: instantiating (28) with all_12_8, all_20_4, e11, e13,
% 56.87/8.98 | | | | | | simplifying with (121), (1297) gives:
% 56.87/8.98 | | | | | | (1300) all_20_4 = all_12_8
% 56.87/8.98 | | | | | |
% 56.87/8.98 | | | | | | GROUND_INST: instantiating (27) with e21, all_28_9, e11, simplifying
% 56.87/8.98 | | | | | | with (1004), (1284) gives:
% 56.87/8.98 | | | | | | (1301) all_28_9 = e21
% 56.87/8.98 | | | | | |
% 56.87/8.98 | | | | | | GROUND_INST: instantiating (27) with e23, all_28_17, e13,
% 56.87/8.98 | | | | | | simplifying with (51), (1296) gives:
% 56.87/8.98 | | | | | | (1302) all_28_17 = e23
% 56.87/8.98 | | | | | |
% 56.87/8.98 | | | | | | BETA: splitting (204) gives:
% 56.87/8.98 | | | | | |
% 56.87/8.98 | | | | | | Case 1:
% 56.87/8.98 | | | | | | |
% 56.87/8.98 | | | | | | | (1303) all_16_14 = e13
% 56.87/8.98 | | | | | | |
% 56.87/8.98 | | | | | | | COMBINE_EQS: (758), (1303) imply:
% 56.87/8.98 | | | | | | | (1304) all_12_11 = e13
% 56.87/8.98 | | | | | | |
% 56.87/8.98 | | | | | | | REDUCE: (78), (1304) imply:
% 56.87/8.98 | | | | | | | (1305) ~ (all_12_7 = e13)
% 56.87/8.98 | | | | | | |
% 56.87/8.98 | | | | | | | REDUCE: (850), (1304) imply:
% 56.87/8.98 | | | | | | | (1306) ~ (e13 = e12)
% 56.87/8.98 | | | | | | |
% 56.87/8.98 | | | | | | | REDUCE: (109), (1304) imply:
% 56.87/8.98 | | | | | | | (1307) op1(e10, e11) = e13
% 56.87/8.98 | | | | | | |
% 56.87/8.98 | | | | | | | BETA: splitting (205) gives:
% 56.87/8.98 | | | | | | |
% 56.87/8.98 | | | | | | | Case 1:
% 56.87/8.98 | | | | | | | |
% 57.26/8.98 | | | | | | | | (1308) all_16_13 = e13
% 57.26/8.98 | | | | | | | |
% 57.26/8.98 | | | | | | | | REF_CLOSE: (752), (1305), (1308) are inconsistent by sub-proof
% 57.26/8.98 | | | | | | | | #56.
% 57.26/8.98 | | | | | | | |
% 57.26/8.98 | | | | | | | Case 2:
% 57.26/8.98 | | | | | | | |
% 57.26/8.98 | | | | | | | | (1309) ~ (all_16_13 = e13)
% 57.26/8.98 | | | | | | | | (1310) all_16_13 = e12 | all_16_13 = e11 | all_16_13 = e10
% 57.26/8.98 | | | | | | | |
% 57.26/8.98 | | | | | | | | BETA: splitting (1310) gives:
% 57.26/8.98 | | | | | | | |
% 57.26/8.98 | | | | | | | | Case 1:
% 57.26/8.98 | | | | | | | | |
% 57.26/8.98 | | | | | | | | | (1311) all_16_13 = e10
% 57.26/8.98 | | | | | | | | |
% 57.26/8.98 | | | | | | | | | COMBINE_EQS: (752), (1311) imply:
% 57.26/8.98 | | | | | | | | | (1312) all_12_7 = e10
% 57.26/8.98 | | | | | | | | |
% 57.26/8.98 | | | | | | | | | SIMP: (1312) implies:
% 57.26/8.98 | | | | | | | | | (1313) all_12_7 = e10
% 57.26/8.98 | | | | | | | | |
% 57.26/8.98 | | | | | | | | | COMBINE_EQS: (704), (1313) imply:
% 57.26/8.98 | | | | | | | | | (1314) all_20_15 = e10
% 57.26/8.98 | | | | | | | | |
% 57.26/8.98 | | | | | | | | | COMBINE_EQS: (483), (1313) imply:
% 57.26/8.98 | | | | | | | | | (1315) all_24_13 = e10
% 57.26/8.98 | | | | | | | | |
% 57.26/8.98 | | | | | | | | | REDUCE: (84), (1313) imply:
% 57.26/8.98 | | | | | | | | | (1316) ~ (all_12_5 = e10)
% 57.26/8.98 | | | | | | | | |
% 57.26/8.98 | | | | | | | | | REDUCE: (81), (1313) imply:
% 57.26/8.98 | | | | | | | | | (1317) ~ (all_12_6 = e10)
% 57.26/8.98 | | | | | | | | |
% 57.26/8.98 | | | | | | | | | REDUCE: (1305), (1313) imply:
% 57.26/8.99 | | | | | | | | | (1318) ~ (e13 = e10)
% 57.26/8.99 | | | | | | | | |
% 57.26/8.99 | | | | | | | | | SIMP: (1318) implies:
% 57.26/8.99 | | | | | | | | | (1319) ~ (e13 = e10)
% 57.26/8.99 | | | | | | | | |
% 57.26/8.99 | | | | | | | | | REDUCE: (935), (1313) imply:
% 57.26/8.99 | | | | | | | | | (1320) op1(e10, e10) = all_20_14
% 57.26/8.99 | | | | | | | | |
% 57.26/8.99 | | | | | | | | | BETA: splitting (349) gives:
% 57.26/8.99 | | | | | | | | |
% 57.26/8.99 | | | | | | | | | Case 1:
% 57.26/8.99 | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | (1321) all_24_1 = e13
% 57.26/8.99 | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | COMBINE_EQS: (612), (1321) imply:
% 57.26/8.99 | | | | | | | | | | (1322) all_12_4 = e13
% 57.26/8.99 | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | SIMP: (1322) implies:
% 57.26/8.99 | | | | | | | | | | (1323) all_12_4 = e13
% 57.26/8.99 | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | REDUCE: (1042), (1323) imply:
% 57.26/8.99 | | | | | | | | | | (1324) $false
% 57.26/8.99 | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | CLOSE: (1324) is inconsistent.
% 57.26/8.99 | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | Case 2:
% 57.26/8.99 | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | (1325) all_24_3 = e13 | all_24_7 = e13 | all_24_13 = e13
% 57.26/8.99 | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | BETA: splitting (1325) gives:
% 57.26/8.99 | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | Case 1:
% 57.26/8.99 | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | (1326) all_24_3 = e13
% 57.26/8.99 | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | COMBINE_EQS: (620), (1326) imply:
% 57.26/8.99 | | | | | | | | | | | (1327) all_12_5 = e13
% 57.26/8.99 | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | SIMP: (1327) implies:
% 57.26/8.99 | | | | | | | | | | | (1328) all_12_5 = e13
% 57.26/8.99 | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | COMBINE_EQS: (684), (1328) imply:
% 57.26/8.99 | | | | | | | | | | | (1329) all_20_11 = e13
% 57.26/8.99 | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | REDUCE: (82), (1328) imply:
% 57.26/8.99 | | | | | | | | | | | (1330) ~ (all_12_13 = e13)
% 57.26/8.99 | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | SIMP: (1330) implies:
% 57.26/8.99 | | | | | | | | | | | (1331) ~ (all_12_13 = e13)
% 57.26/8.99 | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | REDUCE: (933), (1328) imply:
% 57.26/8.99 | | | | | | | | | | | (1332) op1(e13, e12) = all_20_10
% 57.26/8.99 | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | REDUCE: (118), (1328) imply:
% 57.26/8.99 | | | | | | | | | | | (1333) op1(e12, e12) = e13
% 57.26/8.99 | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | GROUND_INST: instantiating (28) with e11, all_20_14, e10, e10,
% 57.26/8.99 | | | | | | | | | | | simplifying with (13), (1320) gives:
% 57.26/8.99 | | | | | | | | | | | (1334) all_20_14 = e11
% 57.26/8.99 | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | GROUND_INST: instantiating (28) with all_12_4, all_20_10, e12,
% 57.26/8.99 | | | | | | | | | | | e13, simplifying with (122), (1332) gives:
% 57.26/8.99 | | | | | | | | | | | (1335) all_20_10 = all_12_4
% 57.26/8.99 | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | BETA: splitting (208) gives:
% 57.26/8.99 | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | Case 1:
% 57.26/8.99 | | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | | (1336) all_16_9 = e13
% 57.26/8.99 | | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | | COMBINE_EQS: (750), (1336) imply:
% 57.26/8.99 | | | | | | | | | | | | (1337) all_12_6 = e13
% 57.26/8.99 | | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | | REDUCE: (1293), (1337) imply:
% 57.26/8.99 | | | | | | | | | | | | (1338) $false
% 57.26/8.99 | | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | | CLOSE: (1338) is inconsistent.
% 57.26/8.99 | | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | Case 2:
% 57.26/8.99 | | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | | (1339) all_16_9 = e12 | all_16_9 = e11 | all_16_9 = e10
% 57.26/8.99 | | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | | BETA: splitting (214) gives:
% 57.26/8.99 | | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | | Case 1:
% 57.26/8.99 | | | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | | | (1340) all_16_1 = e13
% 57.26/8.99 | | | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | | | COMBINE_EQS: (746), (1340) imply:
% 57.26/8.99 | | | | | | | | | | | | | (1341) all_12_4 = e13
% 57.26/8.99 | | | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | | | REDUCE: (1042), (1341) imply:
% 57.26/8.99 | | | | | | | | | | | | | (1342) $false
% 57.26/8.99 | | | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | | | CLOSE: (1342) is inconsistent.
% 57.26/8.99 | | | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | | Case 2:
% 57.26/8.99 | | | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | | | (1343) ~ (all_16_1 = e13)
% 57.26/8.99 | | | | | | | | | | | | | (1344) all_16_1 = e12 | all_16_1 = e11 | all_16_1 = e10
% 57.26/8.99 | | | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | | | BETA: splitting (282) gives:
% 57.26/8.99 | | | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | | | Case 1:
% 57.26/8.99 | | | | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | | | | (1345) all_20_0 = all_20_1
% 57.26/8.99 | | | | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | | | | COMBINE_EQS: (944), (1345) imply:
% 57.26/8.99 | | | | | | | | | | | | | | (1346) all_20_1 = e12
% 57.26/8.99 | | | | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | | | | REF_CLOSE: (678), (840), (1346) are inconsistent by sub-proof
% 57.26/8.99 | | | | | | | | | | | | | | #73.
% 57.26/8.99 | | | | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | | | Case 2:
% 57.26/8.99 | | | | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | | | | (1347) ~ (all_20_0 = all_20_1)
% 57.26/8.99 | | | | | | | | | | | | | | (1348) all_20_2 = all_20_3 | all_20_4 = all_20_5 |
% 57.26/8.99 | | | | | | | | | | | | | | all_20_6 = all_20_7
% 57.26/8.99 | | | | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | | | | BETA: splitting (348) gives:
% 57.26/8.99 | | | | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | | | | Case 1:
% 57.26/8.99 | | | | | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | | | | | (1349) all_24_1 = e12
% 57.26/8.99 | | | | | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | | | | | COMBINE_EQS: (612), (1349) imply:
% 57.26/8.99 | | | | | | | | | | | | | | | (1350) all_12_4 = e12
% 57.26/8.99 | | | | | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | | | | | COMBINE_EQS: (1335), (1350) imply:
% 57.26/8.99 | | | | | | | | | | | | | | | (1351) all_20_10 = e12
% 57.26/8.99 | | | | | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | | | | | COMBINE_EQS: (680), (1350) imply:
% 57.26/8.99 | | | | | | | | | | | | | | | (1352) all_20_9 = e12
% 57.26/8.99 | | | | | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | | | | | REDUCE: (89), (1350) imply:
% 57.26/8.99 | | | | | | | | | | | | | | | (1353) ~ (all_12_6 = e12)
% 57.26/8.99 | | | | | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | | | | | SIMP: (1353) implies:
% 57.26/8.99 | | | | | | | | | | | | | | | (1354) ~ (all_12_6 = e12)
% 57.26/8.99 | | | | | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | | | | | REDUCE: (1042), (1350) imply:
% 57.26/8.99 | | | | | | | | | | | | | | | (1355) ~ (e13 = e12)
% 57.26/8.99 | | | | | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | | | | | REDUCE: (932), (1350) imply:
% 57.26/8.99 | | | | | | | | | | | | | | | (1356) op1(e12, e13) = all_20_8
% 57.26/8.99 | | | | | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | | | | | BETA: splitting (340) gives:
% 57.26/8.99 | | | | | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | | | | | Case 1:
% 57.26/8.99 | | | | | | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | | | | | | (1357) all_24_6 = e11
% 57.26/8.99 | | | | | | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | | | | | | COMBINE_EQS: (1291), (1357) imply:
% 57.26/8.99 | | | | | | | | | | | | | | | | (1358) e13 = e11
% 57.26/8.99 | | | | | | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | | | | | | REDUCE: (8), (1358) imply:
% 57.26/8.99 | | | | | | | | | | | | | | | | (1359) $false
% 57.26/8.99 | | | | | | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | | | | | | CLOSE: (1359) is inconsistent.
% 57.26/8.99 | | | | | | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | | | | | Case 2:
% 57.26/8.99 | | | | | | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | | | | | | (1360) all_24_7 = e11 | all_24_8 = e11 | all_24_11 = e11
% 57.26/8.99 | | | | | | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | | | | | | BETA: splitting (1360) gives:
% 57.26/8.99 | | | | | | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | | | | | | Case 1:
% 57.26/8.99 | | | | | | | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | | | | | | | (1361) all_24_7 = e11
% 57.26/8.99 | | | | | | | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | | | | | | | COMBINE_EQS: (499), (1361) imply:
% 57.26/8.99 | | | | | | | | | | | | | | | | | (1362) all_12_6 = e11
% 57.26/8.99 | | | | | | | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | | | | | | | COMBINE_EQS: (692), (1362) imply:
% 57.26/8.99 | | | | | | | | | | | | | | | | | (1363) all_20_13 = e11
% 57.26/8.99 | | | | | | | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | | | | | | | REDUCE: (80), (1362) imply:
% 57.26/8.99 | | | | | | | | | | | | | | | | | (1364) ~ (all_12_10 = e11)
% 57.26/8.99 | | | | | | | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | | | | | | | SIMP: (1364) implies:
% 57.26/8.99 | | | | | | | | | | | | | | | | | (1365) ~ (all_12_10 = e11)
% 57.26/8.99 | | | | | | | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | | | | | | | REDUCE: (934), (1362) imply:
% 57.26/8.99 | | | | | | | | | | | | | | | | | (1366) op1(e11, e11) = all_20_12
% 57.26/8.99 | | | | | | | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with all_12_10, all_20_12, e11,
% 57.26/8.99 | | | | | | | | | | | | | | | | | e11, simplifying with (113), (1366) gives:
% 57.26/8.99 | | | | | | | | | | | | | | | | | (1367) all_20_12 = all_12_10
% 57.26/8.99 | | | | | | | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with e11, all_20_8, e13, e12,
% 57.26/8.99 | | | | | | | | | | | | | | | | | simplifying with (1286), (1356) gives:
% 57.26/8.99 | | | | | | | | | | | | | | | | | (1368) all_20_8 = e11
% 57.26/8.99 | | | | | | | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | | | | | | | BETA: splitting (281) gives:
% 57.26/8.99 | | | | | | | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | | | | | | | Case 1:
% 57.26/8.99 | | | | | | | | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | | | | | | | | (1369) all_20_8 = all_20_9
% 57.26/8.99 | | | | | | | | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1368), (1369) imply:
% 57.26/8.99 | | | | | | | | | | | | | | | | | | (1370) all_20_9 = e11
% 57.26/8.99 | | | | | | | | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1352), (1370) imply:
% 57.26/8.99 | | | | | | | | | | | | | | | | | | (1371) e12 = e11
% 57.26/8.99 | | | | | | | | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | | | | | | | | REDUCE: (851), (1371) imply:
% 57.26/8.99 | | | | | | | | | | | | | | | | | | (1372) $false
% 57.26/8.99 | | | | | | | | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | | | | | | | | CLOSE: (1372) is inconsistent.
% 57.26/8.99 | | | | | | | | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | | | | | | | Case 2:
% 57.26/8.99 | | | | | | | | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | | | | | | | | (1373) all_20_10 = all_20_11 | all_20_12 = all_20_13 |
% 57.26/8.99 | | | | | | | | | | | | | | | | | | all_20_14 = all_20_15
% 57.26/8.99 | | | | | | | | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | | | | | | | | BETA: splitting (1373) gives:
% 57.26/8.99 | | | | | | | | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | | | | | | | | Case 1:
% 57.26/8.99 | | | | | | | | | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | | | | | | | | | (1374) all_20_10 = all_20_11
% 57.26/8.99 | | | | | | | | | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1351), (1374) imply:
% 57.26/8.99 | | | | | | | | | | | | | | | | | | | (1375) all_20_11 = e12
% 57.26/8.99 | | | | | | | | | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1329), (1375) imply:
% 57.26/8.99 | | | | | | | | | | | | | | | | | | | (1376) e13 = e12
% 57.26/8.99 | | | | | | | | | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | | | | | | | | | REDUCE: (1306), (1376) imply:
% 57.26/8.99 | | | | | | | | | | | | | | | | | | | (1377) $false
% 57.26/8.99 | | | | | | | | | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | | | | | | | | | CLOSE: (1377) is inconsistent.
% 57.26/8.99 | | | | | | | | | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | | | | | | | | Case 2:
% 57.26/8.99 | | | | | | | | | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | | | | | | | | | (1378) all_20_12 = all_20_13 | all_20_14 = all_20_15
% 57.26/8.99 | | | | | | | | | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | | | | | | | | | BETA: splitting (1378) gives:
% 57.26/8.99 | | | | | | | | | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | | | | | | | | | Case 1:
% 57.26/8.99 | | | | | | | | | | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | | | | | | | | | | (1379) all_20_12 = all_20_13
% 57.26/8.99 | | | | | | | | | | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1367), (1379) imply:
% 57.26/8.99 | | | | | | | | | | | | | | | | | | | | (1380) all_20_13 = all_12_10
% 57.26/8.99 | | | | | | | | | | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1363), (1380) imply:
% 57.26/8.99 | | | | | | | | | | | | | | | | | | | | (1381) all_12_10 = e11
% 57.26/8.99 | | | | | | | | | | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | | | | | | | | | | SIMP: (1381) implies:
% 57.26/8.99 | | | | | | | | | | | | | | | | | | | | (1382) all_12_10 = e11
% 57.26/8.99 | | | | | | | | | | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | | | | | | | | | | REDUCE: (1365), (1382) imply:
% 57.26/8.99 | | | | | | | | | | | | | | | | | | | | (1383) $false
% 57.26/8.99 | | | | | | | | | | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | | | | | | | | | | CLOSE: (1383) is inconsistent.
% 57.26/8.99 | | | | | | | | | | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | | | | | | | | | Case 2:
% 57.26/8.99 | | | | | | | | | | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | | | | | | | | | | (1384) all_20_14 = all_20_15
% 57.26/8.99 | | | | | | | | | | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1334), (1384) imply:
% 57.26/8.99 | | | | | | | | | | | | | | | | | | | | (1385) all_20_15 = e11
% 57.26/8.99 | | | | | | | | | | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1314), (1385) imply:
% 57.26/8.99 | | | | | | | | | | | | | | | | | | | | (1386) e11 = e10
% 57.26/8.99 | | | | | | | | | | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | | | | | | | | | | SIMP: (1386) implies:
% 57.26/8.99 | | | | | | | | | | | | | | | | | | | | (1387) e11 = e10
% 57.26/8.99 | | | | | | | | | | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (1387) imply:
% 57.26/8.99 | | | | | | | | | | | | | | | | | | | | (1388) $false
% 57.26/8.99 | | | | | | | | | | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | | | | | | | | | | CLOSE: (1388) is inconsistent.
% 57.26/8.99 | | | | | | | | | | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | | | | | | | | | End of split
% 57.26/8.99 | | | | | | | | | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | | | | | | | | End of split
% 57.26/8.99 | | | | | | | | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | | | | | | | End of split
% 57.26/8.99 | | | | | | | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | | | | | | Case 2:
% 57.26/8.99 | | | | | | | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | | | | | | | (1389) ~ (all_24_7 = e11)
% 57.26/8.99 | | | | | | | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | | | | | | | REDUCE: (499), (1389) imply:
% 57.26/8.99 | | | | | | | | | | | | | | | | | (1390) ~ (all_12_6 = e11)
% 57.26/8.99 | | | | | | | | | | | | | | | | |
% 57.26/8.99 | | | | | | | | | | | | | | | | | REF_CLOSE: (750), (1317), (1339), (1354), (1390) are
% 57.26/8.99 | | | | | | | | | | | | | | | | | inconsistent by sub-proof #55.
% 57.26/8.99 | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | End of split
% 57.26/9.00 | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | End of split
% 57.26/9.00 | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | Case 2:
% 57.26/9.00 | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | (1391) ~ (all_24_1 = e12)
% 57.26/9.00 | | | | | | | | | | | | | | | (1392) all_24_3 = e12 | all_24_7 = e12 | all_24_13 = e12
% 57.26/9.00 | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | REDUCE: (612), (1391) imply:
% 57.26/9.00 | | | | | | | | | | | | | | | (1393) ~ (all_12_4 = e12)
% 57.26/9.00 | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | BETA: splitting (1392) gives:
% 57.26/9.00 | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | Case 1:
% 57.26/9.00 | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | (1394) all_24_3 = e12
% 57.26/9.00 | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | COMBINE_EQS: (1326), (1394) imply:
% 57.26/9.00 | | | | | | | | | | | | | | | | (1395) e13 = e12
% 57.26/9.00 | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | REDUCE: (1306), (1395) imply:
% 57.26/9.00 | | | | | | | | | | | | | | | | (1396) $false
% 57.26/9.00 | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | CLOSE: (1396) is inconsistent.
% 57.26/9.00 | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | Case 2:
% 57.26/9.00 | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | (1397) all_24_7 = e12 | all_24_13 = e12
% 57.26/9.00 | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | BETA: splitting (1344) gives:
% 57.26/9.00 | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | Case 1:
% 57.26/9.00 | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | (1398) all_16_1 = e10
% 57.26/9.00 | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | REF_CLOSE: (746), (842), (1398) are inconsistent by sub-proof
% 57.26/9.00 | | | | | | | | | | | | | | | | | #68.
% 57.26/9.00 | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | Case 2:
% 57.26/9.00 | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | (1399) ~ (all_16_1 = e10)
% 57.26/9.00 | | | | | | | | | | | | | | | | | (1400) all_16_1 = e12 | all_16_1 = e11
% 57.26/9.00 | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | BETA: splitting (1400) gives:
% 57.26/9.00 | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | Case 1:
% 57.26/9.00 | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | (1401) all_16_1 = e12
% 57.26/9.00 | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | REF_CLOSE: (746), (1393), (1401) are inconsistent by
% 57.26/9.00 | | | | | | | | | | | | | | | | | | sub-proof #67.
% 57.26/9.00 | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | Case 2:
% 57.26/9.00 | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | (1402) all_16_1 = e11
% 57.26/9.00 | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (746), (1402) imply:
% 57.26/9.00 | | | | | | | | | | | | | | | | | | (1403) all_12_4 = e11
% 57.26/9.00 | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | SIMP: (1403) implies:
% 57.26/9.00 | | | | | | | | | | | | | | | | | | (1404) all_12_4 = e11
% 57.26/9.00 | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | REDUCE: (89), (1404) imply:
% 57.26/9.00 | | | | | | | | | | | | | | | | | | (1405) ~ (all_12_6 = e11)
% 57.26/9.00 | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | SIMP: (1405) implies:
% 57.26/9.00 | | | | | | | | | | | | | | | | | | (1406) ~ (all_12_6 = e11)
% 57.26/9.00 | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | REDUCE: (1042), (1404) imply:
% 57.26/9.00 | | | | | | | | | | | | | | | | | | (1407) ~ (e13 = e11)
% 57.26/9.00 | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | BETA: splitting (340) gives:
% 57.26/9.00 | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | Case 1:
% 57.26/9.00 | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | (1408) all_24_6 = e11
% 57.26/9.00 | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1291), (1408) imply:
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | (1409) e13 = e11
% 57.26/9.00 | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | REDUCE: (8), (1409) imply:
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | (1410) $false
% 57.26/9.00 | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | CLOSE: (1410) is inconsistent.
% 57.26/9.00 | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | Case 2:
% 57.26/9.00 | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | (1411) all_24_7 = e11 | all_24_8 = e11 | all_24_11 = e11
% 57.26/9.00 | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | BETA: splitting (1411) gives:
% 57.26/9.00 | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | Case 1:
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | (1412) all_24_7 = e11
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (499), (1412) imply:
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | (1413) all_12_6 = e11
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | REDUCE: (1406), (1413) imply:
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | (1414) $false
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | CLOSE: (1414) is inconsistent.
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | Case 2:
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | (1415) all_24_8 = e11 | all_24_11 = e11
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | BETA: splitting (1415) gives:
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | (1416) all_24_8 = e11
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (496), (1416) imply:
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | (1417) all_12_10 = e11
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | REDUCE: (68), (1417) imply:
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | (1418) ~ (all_12_14 = e11)
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1348) gives:
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | (1419) all_20_2 = all_20_3
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1275), (1299), (1406), (1419) are inconsistent by
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | sub-proof #54.
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | (1420) all_20_4 = all_20_5 | all_20_6 = all_20_7
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1397) gives:
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | (1421) all_24_7 = e12
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (499), (1421) imply:
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | (1422) all_12_6 = e12
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1420) gives:
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | (1423) all_20_4 = all_20_5
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1300), (1423) imply:
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | (1424) all_20_5 = all_12_8
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1290), (1424) imply:
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | (1425) all_12_8 = e13
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1425) implies:
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | (1426) all_12_8 = e13
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1043), (1426) imply:
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | (1427) $false
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1427) is inconsistent.
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | (1428) all_20_6 = all_20_7
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (946), (1428) imply:
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | (1429) all_20_7 = all_12_13
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (487), (1429) imply:
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | (1430) all_12_13 = e12
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1430) implies:
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | (1431) all_12_13 = e12
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (698), (1431) imply:
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | (1432) all_20_27 = e12
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (63), (1431) imply:
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | (1433) ~ (all_12_14 = e12)
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1433) implies:
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | (1434) ~ (all_12_14 = e12)
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1331), (1431) imply:
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | (1435) ~ (e13 = e12)
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (941), (1431) imply:
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | (1436) op1(e12, e12) = all_20_26
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (339) gives:
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | (1437) all_24_6 = e10
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1291), (1437) imply:
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | (1438) e13 = e10
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1319), (1438) imply:
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | (1439) $false
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1439) is inconsistent.
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | (1440) all_24_7 = e10 | all_24_8 = e10 | all_24_11 = e10
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1440) gives:
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (1441) all_24_7 = e10
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1421), (1441) imply:
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (1442) e12 = e10
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (840), (1442) imply:
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (1443) $false
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1443) is inconsistent.
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | (1444) all_24_8 = e10 | all_24_11 = e10
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1444) gives:
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1445) all_24_8 = e10
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1416), (1445) imply:
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1446) e11 = e10
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (1446) imply:
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1447) $false
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1447) is inconsistent.
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1448) all_24_11 = e10
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (634), (1448) imply:
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1449) all_12_14 = e10
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (945), (1449) imply:
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1450) all_20_30 = e10
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (700), (1449) imply:
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1451) all_20_29 = e10
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (856), (1449) imply:
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1452) ~ (e11 = e10)
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (942), (1449) imply:
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1453) op1(e10, e11) = all_20_28
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with e13, all_20_28, e11, e10,
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1307), (1453) gives:
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1454) all_20_28 = e13
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with e13, all_20_26, e12, e12,
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1333), (1436) gives:
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1455) all_20_26 = e13
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (279) gives:
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1456) all_20_24 = all_20_25
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1048), (1456) imply:
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1457) all_20_25 = e10
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1040), (1457) imply:
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1458) e13 = e10
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1319), (1458) imply:
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1459) $false
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1459) is inconsistent.
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1460) ~ (all_20_24 = all_20_25)
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1461) all_20_26 = all_20_27 | all_20_28 = all_20_29 |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_20_30 = all_20_31
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1461) gives:
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1462) all_20_26 = all_20_27
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1455), (1462) imply:
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1463) all_20_27 = e13
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1432), (1463) imply:
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1464) e13 = e12
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1464) implies:
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1465) e13 = e12
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1040), (1465) imply:
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1466) all_20_25 = e12
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (81), (84), (85), (88), (89), (90), (205),
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (206), (211), (214), (278), (487), (678), (684),
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (692), (700), (707), (746), (748), (752), (762),
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (842), (848), (851), (856), (1045), (1275),
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1279), (1290), (1306), (1393), (1434), (1463),
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1466) are inconsistent by sub-proof #48.
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1467) all_20_28 = all_20_29 | all_20_30 = all_20_31
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1467) gives:
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1468) all_20_28 = all_20_29
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1454), (1468) imply:
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1469) all_20_29 = e13
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1451), (1469) imply:
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1470) e13 = e10
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1470) implies:
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1471) e13 = e10
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1319), (1471) imply:
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1472) $false
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1472) is inconsistent.
% 57.26/9.00 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.26/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1473) all_20_30 = all_20_31
% 57.26/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1450), (1473) imply:
% 57.26/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1474) all_20_31 = e10
% 57.26/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (707), (1474) imply:
% 57.26/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1475) e11 = e10
% 57.26/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (1475) imply:
% 57.26/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1476) $false
% 57.26/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1476) is inconsistent.
% 57.26/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.26/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.26/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.26/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.26/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.01 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.26/9.01 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.01 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.26/9.01 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.01 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.26/9.01 | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.01 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.26/9.01 | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.01 | | | | | | | | | | | | | | | | | | | | | | | (1477) all_24_13 = e12
% 57.26/9.01 | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.01 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1315), (1477) imply:
% 57.26/9.01 | | | | | | | | | | | | | | | | | | | | | | | (1478) e12 = e10
% 57.26/9.01 | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.01 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (840), (1478) imply:
% 57.26/9.01 | | | | | | | | | | | | | | | | | | | | | | | (1479) $false
% 57.26/9.01 | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.01 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1479) is inconsistent.
% 57.26/9.01 | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.01 | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.26/9.01 | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.01 | | | | | | | | | | | | | | | | | | | | | End of split
% 57.26/9.01 | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.01 | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.26/9.01 | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.01 | | | | | | | | | | | | | | | | | | | | | (1480) all_24_11 = e11
% 57.26/9.01 | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.01 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (634), (1480) imply:
% 57.26/9.01 | | | | | | | | | | | | | | | | | | | | | (1481) all_12_14 = e11
% 57.26/9.01 | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.01 | | | | | | | | | | | | | | | | | | | | | SIMP: (1481) implies:
% 57.26/9.01 | | | | | | | | | | | | | | | | | | | | | (1482) all_12_14 = e11
% 57.26/9.01 | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.01 | | | | | | | | | | | | | | | | | | | | | REDUCE: (856), (1482) imply:
% 57.26/9.01 | | | | | | | | | | | | | | | | | | | | | (1483) $false
% 57.26/9.01 | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.01 | | | | | | | | | | | | | | | | | | | | | CLOSE: (1483) is inconsistent.
% 57.26/9.01 | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.01 | | | | | | | | | | | | | | | | | | | | End of split
% 57.26/9.01 | | | | | | | | | | | | | | | | | | | |
% 57.26/9.01 | | | | | | | | | | | | | | | | | | | End of split
% 57.26/9.01 | | | | | | | | | | | | | | | | | | |
% 57.26/9.01 | | | | | | | | | | | | | | | | | | End of split
% 57.26/9.01 | | | | | | | | | | | | | | | | | |
% 57.26/9.01 | | | | | | | | | | | | | | | | | End of split
% 57.26/9.01 | | | | | | | | | | | | | | | | |
% 57.26/9.01 | | | | | | | | | | | | | | | | End of split
% 57.26/9.01 | | | | | | | | | | | | | | | |
% 57.26/9.01 | | | | | | | | | | | | | | | End of split
% 57.26/9.01 | | | | | | | | | | | | | | |
% 57.26/9.01 | | | | | | | | | | | | | | End of split
% 57.26/9.01 | | | | | | | | | | | | | |
% 57.26/9.01 | | | | | | | | | | | | | End of split
% 57.26/9.01 | | | | | | | | | | | | |
% 57.26/9.01 | | | | | | | | | | | | End of split
% 57.26/9.01 | | | | | | | | | | | |
% 57.26/9.01 | | | | | | | | | | | End of split
% 57.26/9.01 | | | | | | | | | | |
% 57.26/9.01 | | | | | | | | | | Case 2:
% 57.26/9.01 | | | | | | | | | | |
% 57.26/9.01 | | | | | | | | | | | (1484) all_24_7 = e13 | all_24_13 = e13
% 57.26/9.01 | | | | | | | | | | |
% 57.26/9.01 | | | | | | | | | | | BETA: splitting (1484) gives:
% 57.26/9.01 | | | | | | | | | | |
% 57.26/9.01 | | | | | | | | | | | Case 1:
% 57.26/9.01 | | | | | | | | | | | |
% 57.26/9.01 | | | | | | | | | | | | (1485) all_24_7 = e13
% 57.26/9.01 | | | | | | | | | | | |
% 57.26/9.01 | | | | | | | | | | | | COMBINE_EQS: (499), (1485) imply:
% 57.26/9.01 | | | | | | | | | | | | (1486) all_12_6 = e13
% 57.26/9.01 | | | | | | | | | | | |
% 57.26/9.01 | | | | | | | | | | | | SIMP: (1486) implies:
% 57.26/9.01 | | | | | | | | | | | | (1487) all_12_6 = e13
% 57.26/9.01 | | | | | | | | | | | |
% 57.26/9.01 | | | | | | | | | | | | REDUCE: (1293), (1487) imply:
% 57.26/9.01 | | | | | | | | | | | | (1488) $false
% 57.26/9.01 | | | | | | | | | | | |
% 57.26/9.01 | | | | | | | | | | | | CLOSE: (1488) is inconsistent.
% 57.26/9.01 | | | | | | | | | | | |
% 57.26/9.01 | | | | | | | | | | | Case 2:
% 57.26/9.01 | | | | | | | | | | | |
% 57.26/9.01 | | | | | | | | | | | | (1489) all_24_13 = e13
% 57.26/9.01 | | | | | | | | | | | |
% 57.26/9.01 | | | | | | | | | | | | COMBINE_EQS: (1315), (1489) imply:
% 57.26/9.01 | | | | | | | | | | | | (1490) e13 = e10
% 57.26/9.01 | | | | | | | | | | | |
% 57.26/9.01 | | | | | | | | | | | | REDUCE: (1319), (1490) imply:
% 57.26/9.01 | | | | | | | | | | | | (1491) $false
% 57.26/9.01 | | | | | | | | | | | |
% 57.26/9.01 | | | | | | | | | | | | CLOSE: (1491) is inconsistent.
% 57.26/9.01 | | | | | | | | | | | |
% 57.26/9.01 | | | | | | | | | | | End of split
% 57.26/9.01 | | | | | | | | | | |
% 57.26/9.01 | | | | | | | | | | End of split
% 57.26/9.01 | | | | | | | | | |
% 57.26/9.01 | | | | | | | | | End of split
% 57.26/9.01 | | | | | | | | |
% 57.26/9.01 | | | | | | | | Case 2:
% 57.26/9.01 | | | | | | | | |
% 57.26/9.01 | | | | | | | | | (1492) all_16_13 = e12 | all_16_13 = e11
% 57.26/9.01 | | | | | | | | |
% 57.26/9.01 | | | | | | | | | REF_CLOSE: (752), (848), (852), (1492) are inconsistent by
% 57.26/9.01 | | | | | | | | | sub-proof #62.
% 57.26/9.01 | | | | | | | | |
% 57.26/9.01 | | | | | | | | End of split
% 57.26/9.01 | | | | | | | |
% 57.26/9.01 | | | | | | | End of split
% 57.26/9.01 | | | | | | |
% 57.26/9.01 | | | | | | Case 2:
% 57.26/9.01 | | | | | | |
% 57.26/9.01 | | | | | | | (1493) all_16_14 = e12 | all_16_14 = e11 | all_16_14 = e10
% 57.26/9.01 | | | | | | |
% 57.26/9.01 | | | | | | | BETA: splitting (343) gives:
% 57.26/9.01 | | | | | | |
% 57.26/9.01 | | | | | | | Case 1:
% 57.26/9.01 | | | | | | | |
% 57.26/9.01 | | | | | | | | (1494) all_24_4 = e13
% 57.26/9.01 | | | | | | | |
% 57.26/9.01 | | | | | | | | REF_CLOSE: (528), (1043), (1494) are inconsistent by sub-proof
% 57.26/9.01 | | | | | | | | #70.
% 57.26/9.01 | | | | | | | |
% 57.26/9.01 | | | | | | | Case 2:
% 57.26/9.01 | | | | | | | |
% 57.26/9.01 | | | | | | | | (1495) all_24_5 = e13 | all_24_8 = e13 | all_24_14 = e13
% 57.26/9.01 | | | | | | | |
% 57.26/9.01 | | | | | | | | BETA: splitting (1493) gives:
% 57.26/9.01 | | | | | | | |
% 57.26/9.01 | | | | | | | | Case 1:
% 57.26/9.01 | | | | | | | | |
% 57.26/9.01 | | | | | | | | | (1496) all_16_14 = e10
% 57.26/9.01 | | | | | | | | |
% 57.26/9.01 | | | | | | | | | COMBINE_EQS: (758), (1496) imply:
% 57.26/9.01 | | | | | | | | | (1497) all_12_11 = e10
% 57.26/9.01 | | | | | | | | |
% 57.26/9.01 | | | | | | | | | COMBINE_EQS: (705), (1497) imply:
% 57.26/9.01 | | | | | | | | | (1498) all_20_23 = e10
% 57.26/9.01 | | | | | | | | |
% 57.26/9.01 | | | | | | | | | COMBINE_EQS: (639), (1497) imply:
% 57.26/9.01 | | | | | | | | | (1499) all_24_14 = e10
% 57.26/9.01 | | | | | | | | |
% 57.26/9.01 | | | | | | | | | REDUCE: (78), (1497) imply:
% 57.26/9.01 | | | | | | | | | (1500) ~ (all_12_7 = e10)
% 57.26/9.01 | | | | | | | | |
% 57.26/9.01 | | | | | | | | | REDUCE: (74), (1497) imply:
% 57.26/9.01 | | | | | | | | | (1501) ~ (all_12_8 = e10)
% 57.26/9.01 | | | | | | | | |
% 57.26/9.01 | | | | | | | | | REDUCE: (69), (1497) imply:
% 57.26/9.01 | | | | | | | | | (1502) ~ (all_12_10 = e10)
% 57.26/9.01 | | | | | | | | |
% 57.26/9.01 | | | | | | | | | REDUCE: (853), (1497) imply:
% 57.26/9.01 | | | | | | | | | (1503) ~ (e11 = e10)
% 57.26/9.01 | | | | | | | | |
% 57.26/9.01 | | | | | | | | | REDUCE: (871), (1497) imply:
% 57.26/9.01 | | | | | | | | | (1504) h4(e10) = all_28_32
% 57.26/9.01 | | | | | | | | |
% 57.26/9.01 | | | | | | | | | REDUCE: (939), (1497) imply:
% 57.26/9.01 | | | | | | | | | (1505) op1(e10, e10) = all_20_22
% 57.26/9.01 | | | | | | | | |
% 57.26/9.01 | | | | | | | | | BETA: splitting (205) gives:
% 57.26/9.01 | | | | | | | | |
% 57.26/9.01 | | | | | | | | | Case 1:
% 57.26/9.01 | | | | | | | | | |
% 57.26/9.01 | | | | | | | | | | (1506) all_16_13 = e13
% 57.26/9.01 | | | | | | | | | |
% 57.26/9.01 | | | | | | | | | | COMBINE_EQS: (752), (1506) imply:
% 57.26/9.01 | | | | | | | | | | (1507) all_12_7 = e13
% 57.26/9.01 | | | | | | | | | |
% 57.26/9.01 | | | | | | | | | | SIMP: (1507) implies:
% 57.26/9.01 | | | | | | | | | | (1508) all_12_7 = e13
% 57.26/9.01 | | | | | | | | | |
% 57.26/9.01 | | | | | | | | | | REDUCE: (848), (1508) imply:
% 57.26/9.01 | | | | | | | | | | (1509) ~ (e13 = e12)
% 57.26/9.01 | | | | | | | | | |
% 57.26/9.01 | | | | | | | | | | REDUCE: (1500), (1508) imply:
% 57.26/9.01 | | | | | | | | | | (1510) ~ (e13 = e10)
% 57.26/9.01 | | | | | | | | | |
% 57.26/9.01 | | | | | | | | | | REDUCE: (870), (1508) imply:
% 57.26/9.01 | | | | | | | | | | (1511) h4(e13) = all_28_29
% 57.26/9.01 | | | | | | | | | |
% 57.26/9.01 | | | | | | | | | | BETA: splitting (1495) gives:
% 57.26/9.01 | | | | | | | | | |
% 57.26/9.01 | | | | | | | | | | Case 1:
% 57.26/9.01 | | | | | | | | | | |
% 57.26/9.01 | | | | | | | | | | | (1512) all_24_5 = e13
% 57.26/9.01 | | | | | | | | | | |
% 57.26/9.01 | | | | | | | | | | | COMBINE_EQS: (511), (1512) imply:
% 57.26/9.01 | | | | | | | | | | | (1513) all_12_9 = e13
% 57.26/9.01 | | | | | | | | | | |
% 57.26/9.01 | | | | | | | | | | | SIMP: (1513) implies:
% 57.26/9.01 | | | | | | | | | | | (1514) all_12_9 = e13
% 57.26/9.01 | | | | | | | | | | |
% 57.26/9.01 | | | | | | | | | | | COMBINE_EQS: (688), (1514) imply:
% 57.26/9.01 | | | | | | | | | | | (1515) all_20_19 = e13
% 57.26/9.01 | | | | | | | | | | |
% 57.26/9.01 | | | | | | | | | | | REDUCE: (83), (1514) imply:
% 57.26/9.01 | | | | | | | | | | | (1516) ~ (all_12_5 = e13)
% 57.26/9.01 | | | | | | | | | | |
% 57.26/9.01 | | | | | | | | | | | REDUCE: (863), (1514) imply:
% 57.26/9.01 | | | | | | | | | | | (1517) h4(e13) = all_28_13
% 57.26/9.01 | | | | | | | | | | |
% 57.26/9.01 | | | | | | | | | | | REDUCE: (937), (1514) imply:
% 57.26/9.01 | | | | | | | | | | | (1518) op1(e13, e12) = all_20_18
% 57.26/9.01 | | | | | | | | | | |
% 57.26/9.01 | | | | | | | | | | | REDUCE: (117), (1514) imply:
% 57.26/9.01 | | | | | | | | | | | (1519) op1(e12, e11) = e13
% 57.26/9.01 | | | | | | | | | | |
% 57.26/9.01 | | | | | | | | | | | GROUND_INST: instantiating (28) with e11, all_20_22, e10, e10,
% 57.26/9.01 | | | | | | | | | | | simplifying with (13), (1505) gives:
% 57.26/9.01 | | | | | | | | | | | (1520) all_20_22 = e11
% 57.26/9.01 | | | | | | | | | | |
% 57.26/9.01 | | | | | | | | | | | GROUND_INST: instantiating (28) with all_12_4, all_20_18, e12,
% 57.26/9.01 | | | | | | | | | | | e13, simplifying with (122), (1518) gives:
% 57.26/9.01 | | | | | | | | | | | (1521) all_20_18 = all_12_4
% 57.26/9.01 | | | | | | | | | | |
% 57.26/9.01 | | | | | | | | | | | GROUND_INST: instantiating (27) with e20, all_28_32, e10,
% 57.26/9.01 | | | | | | | | | | | simplifying with (873), (1504) gives:
% 57.26/9.01 | | | | | | | | | | | (1522) all_28_32 = e20
% 57.26/9.01 | | | | | | | | | | |
% 57.26/9.01 | | | | | | | | | | | GROUND_INST: instantiating (27) with e23, all_28_13, e13,
% 57.26/9.01 | | | | | | | | | | | simplifying with (51), (1517) gives:
% 57.26/9.01 | | | | | | | | | | | (1523) all_28_13 = e23
% 57.26/9.01 | | | | | | | | | | |
% 57.26/9.01 | | | | | | | | | | | GROUND_INST: instantiating (27) with all_28_29, all_28_13, e13,
% 57.26/9.01 | | | | | | | | | | | simplifying with (1511), (1517) gives:
% 57.26/9.01 | | | | | | | | | | | (1524) all_28_13 = all_28_29
% 57.26/9.01 | | | | | | | | | | |
% 57.26/9.01 | | | | | | | | | | | COMBINE_EQS: (1523), (1524) imply:
% 57.26/9.01 | | | | | | | | | | | (1525) all_28_29 = e23
% 57.26/9.01 | | | | | | | | | | |
% 57.26/9.01 | | | | | | | | | | | BETA: splitting (211) gives:
% 57.26/9.01 | | | | | | | | | | |
% 57.26/9.01 | | | | | | | | | | | Case 1:
% 57.26/9.01 | | | | | | | | | | | |
% 57.26/9.01 | | | | | | | | | | | | (1526) all_16_5 = e13
% 57.26/9.01 | | | | | | | | | | | |
% 57.26/9.01 | | | | | | | | | | | | REF_CLOSE: (748), (1516), (1526) are inconsistent by
% 57.26/9.01 | | | | | | | | | | | | sub-proof #51.
% 57.26/9.01 | | | | | | | | | | | |
% 57.26/9.01 | | | | | | | | | | | Case 2:
% 57.26/9.01 | | | | | | | | | | | |
% 57.26/9.01 | | | | | | | | | | | | (1527) all_16_5 = e12 | all_16_5 = e11 | all_16_5 = e10
% 57.26/9.01 | | | | | | | | | | | |
% 57.26/9.01 | | | | | | | | | | | | BETA: splitting (206) gives:
% 57.26/9.01 | | | | | | | | | | | |
% 57.26/9.01 | | | | | | | | | | | | Case 1:
% 57.26/9.01 | | | | | | | | | | | | |
% 57.26/9.01 | | | | | | | | | | | | | (1528) all_16_11 = e13
% 57.26/9.01 | | | | | | | | | | | | |
% 57.26/9.01 | | | | | | | | | | | | | COMBINE_EQS: (762), (1528) imply:
% 57.26/9.01 | | | | | | | | | | | | | (1529) all_12_14 = e13
% 57.26/9.01 | | | | | | | | | | | | |
% 57.26/9.01 | | | | | | | | | | | | | REDUCE: (1045), (1529) imply:
% 57.26/9.01 | | | | | | | | | | | | | (1530) $false
% 57.26/9.01 | | | | | | | | | | | | |
% 57.26/9.01 | | | | | | | | | | | | | CLOSE: (1530) is inconsistent.
% 57.26/9.01 | | | | | | | | | | | | |
% 57.26/9.01 | | | | | | | | | | | | Case 2:
% 57.26/9.01 | | | | | | | | | | | | |
% 57.26/9.01 | | | | | | | | | | | | | (1531) all_16_11 = e12 | all_16_11 = e11 | all_16_11 =
% 57.26/9.01 | | | | | | | | | | | | | e10
% 57.26/9.01 | | | | | | | | | | | | |
% 57.26/9.01 | | | | | | | | | | | | | BETA: splitting (214) gives:
% 57.26/9.01 | | | | | | | | | | | | |
% 57.26/9.01 | | | | | | | | | | | | | Case 1:
% 57.26/9.01 | | | | | | | | | | | | | |
% 57.26/9.01 | | | | | | | | | | | | | | (1532) all_16_1 = e13
% 57.26/9.01 | | | | | | | | | | | | | |
% 57.26/9.01 | | | | | | | | | | | | | | COMBINE_EQS: (746), (1532) imply:
% 57.26/9.01 | | | | | | | | | | | | | | (1533) all_12_4 = e13
% 57.26/9.02 | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | REDUCE: (1042), (1533) imply:
% 57.26/9.02 | | | | | | | | | | | | | | (1534) $false
% 57.26/9.02 | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | CLOSE: (1534) is inconsistent.
% 57.26/9.02 | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | Case 2:
% 57.26/9.02 | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | (1535) ~ (all_16_1 = e13)
% 57.26/9.02 | | | | | | | | | | | | | | (1536) all_16_1 = e12 | all_16_1 = e11 | all_16_1 = e10
% 57.26/9.02 | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | BETA: splitting (207) gives:
% 57.26/9.02 | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | Case 1:
% 57.26/9.02 | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | (1537) all_16_10 = e13
% 57.26/9.02 | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | COMBINE_EQS: (756), (1537) imply:
% 57.26/9.02 | | | | | | | | | | | | | | | (1538) all_12_10 = e13
% 57.26/9.02 | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | REDUCE: (1295), (1538) imply:
% 57.26/9.02 | | | | | | | | | | | | | | | (1539) $false
% 57.26/9.02 | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | CLOSE: (1539) is inconsistent.
% 57.26/9.02 | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | Case 2:
% 57.26/9.02 | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | (1540) ~ (all_16_10 = e13)
% 57.26/9.02 | | | | | | | | | | | | | | | (1541) all_16_10 = e12 | all_16_10 = e11 | all_16_10 =
% 57.26/9.02 | | | | | | | | | | | | | | | e10
% 57.26/9.02 | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | BETA: splitting (233) gives:
% 57.26/9.02 | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | Case 1:
% 57.26/9.02 | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | (1542) all_18_13 = e23
% 57.26/9.02 | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | COMBINE_EQS: (723), (1542) imply:
% 57.26/9.02 | | | | | | | | | | | | | | | | (1543) all_14_7 = e23
% 57.26/9.02 | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | COMBINE_EQS: (671), (1543) imply:
% 57.26/9.02 | | | | | | | | | | | | | | | | (1544) all_22_15 = e23
% 57.26/9.02 | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | COMBINE_EQS: (550), (1543) imply:
% 57.26/9.02 | | | | | | | | | | | | | | | | (1545) all_26_13 = e23
% 57.26/9.02 | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | COMBINE_EQS: (1023), (1543) imply:
% 57.26/9.02 | | | | | | | | | | | | | | | | (1546) all_28_27 = e23
% 57.26/9.02 | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | REDUCE: (152), (1543) imply:
% 57.26/9.02 | | | | | | | | | | | | | | | | (1547) ~ (all_14_4 = e23)
% 57.26/9.02 | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | REDUCE: (145), (1543) imply:
% 57.26/9.02 | | | | | | | | | | | | | | | | (1548) ~ (all_14_6 = e23)
% 57.26/9.02 | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | REDUCE: (142), (1543) imply:
% 57.26/9.02 | | | | | | | | | | | | | | | | (1549) ~ (all_14_11 = e23)
% 57.26/9.02 | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | SIMP: (1549) implies:
% 57.26/9.02 | | | | | | | | | | | | | | | | (1550) ~ (all_14_11 = e23)
% 57.26/9.02 | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | REDUCE: (818), (1543) imply:
% 57.26/9.02 | | | | | | | | | | | | | | | | (1551) ~ (all_6_2 = e23)
% 57.26/9.02 | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | SIMP: (1551) implies:
% 57.26/9.02 | | | | | | | | | | | | | | | | (1552) ~ (all_6_2 = e23)
% 57.26/9.02 | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 57.26/9.02 | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | Case 1:
% 57.26/9.02 | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | (1553) all_18_14 = e23
% 57.26/9.02 | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | COMBINE_EQS: (730), (1553) imply:
% 57.26/9.02 | | | | | | | | | | | | | | | | | (1554) all_14_11 = e23
% 57.26/9.02 | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | REDUCE: (1550), (1554) imply:
% 57.26/9.02 | | | | | | | | | | | | | | | | | (1555) $false
% 57.26/9.02 | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | CLOSE: (1555) is inconsistent.
% 57.26/9.02 | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | Case 2:
% 57.26/9.02 | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | (1556) ~ (all_18_14 = e23)
% 57.26/9.02 | | | | | | | | | | | | | | | | | (1557) all_18_14 = e22 | all_18_14 = e21 | all_18_14 =
% 57.26/9.02 | | | | | | | | | | | | | | | | | e20
% 57.26/9.02 | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | BETA: splitting (1557) gives:
% 57.26/9.02 | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | Case 1:
% 57.26/9.02 | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | (1558) all_18_14 = e20
% 57.26/9.02 | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (730), (1558) imply:
% 57.26/9.02 | | | | | | | | | | | | | | | | | | (1559) all_14_11 = e20
% 57.26/9.02 | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (673), (1559) imply:
% 57.26/9.02 | | | | | | | | | | | | | | | | | | (1560) all_22_23 = e20
% 57.26/9.02 | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (547), (1559) imply:
% 57.26/9.02 | | | | | | | | | | | | | | | | | | (1561) all_26_14 = e20
% 57.26/9.02 | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1022), (1559) imply:
% 57.26/9.02 | | | | | | | | | | | | | | | | | | (1562) all_28_30 = e20
% 57.26/9.02 | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | REDUCE: (135), (1559) imply:
% 57.26/9.02 | | | | | | | | | | | | | | | | | | (1563) ~ (all_14_9 = e20)
% 57.26/9.02 | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | REDUCE: (828), (1559) imply:
% 57.26/9.02 | | | | | | | | | | | | | | | | | | (1564) ~ (all_4_2 = e20)
% 57.26/9.02 | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | SIMP: (1564) implies:
% 57.26/9.02 | | | | | | | | | | | | | | | | | | (1565) ~ (all_4_2 = e20)
% 57.26/9.02 | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | REDUCE: (1550), (1559) imply:
% 57.26/9.02 | | | | | | | | | | | | | | | | | | (1566) ~ (e23 = e20)
% 57.26/9.02 | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | SIMP: (1566) implies:
% 57.26/9.02 | | | | | | | | | | | | | | | | | | (1567) ~ (e23 = e20)
% 57.26/9.02 | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | REDUCE: (813), (1559) imply:
% 57.26/9.02 | | | | | | | | | | | | | | | | | | (1568) ~ (e22 = e20)
% 57.26/9.02 | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | SIMP: (1568) implies:
% 57.26/9.02 | | | | | | | | | | | | | | | | | | (1569) ~ (e22 = e20)
% 57.26/9.02 | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | REDUCE: (919), (1559) imply:
% 57.26/9.02 | | | | | | | | | | | | | | | | | | (1570) op2(e20, e20) = all_22_22
% 57.26/9.02 | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with e21, all_22_22, e20, e20,
% 57.26/9.02 | | | | | | | | | | | | | | | | | | simplifying with (16), (1570) gives:
% 57.26/9.02 | | | | | | | | | | | | | | | | | | (1571) all_22_22 = e21
% 57.26/9.02 | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 57.26/9.02 | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | Case 1:
% 57.26/9.02 | | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | (1572) all_18_8 = e23
% 57.26/9.02 | | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (714), (1572) imply:
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | (1573) all_14_2 = e23
% 57.26/9.02 | | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (657), (1573) imply:
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | (1574) all_22_5 = e23
% 57.26/9.02 | | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (567), (1573) imply:
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | (1575) all_26_6 = e23
% 57.26/9.02 | | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1027), (1573) imply:
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | (1576) all_28_16 = e23
% 57.26/9.02 | | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | REDUCE: (165), (1573) imply:
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | (1577) ~ (all_14_1 = e23)
% 57.26/9.02 | | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | REDUCE: (159), (1573) imply:
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | (1578) ~ (all_14_6 = e23)
% 57.26/9.02 | | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | REDUCE: (809), (1573) imply:
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | (1579) ~ (all_4_2 = e23)
% 57.26/9.02 | | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | SIMP: (1579) implies:
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | (1580) ~ (all_4_2 = e23)
% 57.26/9.02 | | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | REDUCE: (910), (1573) imply:
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | (1581) op2(e23, e21) = all_22_4
% 57.26/9.02 | | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | REDUCE: (178), (1573) imply:
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | (1582) op2(e21, e23) = e23
% 57.26/9.02 | | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 57.26/9.02 | | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | Case 1:
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | (1583) all_18_4 = e23
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (712), (1583) imply:
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | (1584) all_14_1 = e23
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | REDUCE: (1577), (1584) imply:
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | (1585) $false
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | CLOSE: (1585) is inconsistent.
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | Case 2:
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | (1586) ~ (all_18_4 = e23)
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | (1587) all_18_4 = e22 | all_18_4 = e21 | all_18_4 = e20
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | BETA: splitting (1587) gives:
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | (1588) all_18_4 = e20
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (712), (1588) imply:
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | (1589) all_14_1 = e20
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | REDUCE: (797), (1589) imply:
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | (1590) $false
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | CLOSE: (1590) is inconsistent.
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | (1591) ~ (all_18_4 = e20)
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | (1592) all_18_4 = e22 | all_18_4 = e21
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1592) gives:
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | (1593) all_18_4 = e22
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (712), (1593) imply:
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | (1594) all_14_1 = e22
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (806), (1594) imply:
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | (1595) $false
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1595) is inconsistent.
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | (1596) all_18_4 = e21
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (712), (1596) imply:
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | (1597) all_14_1 = e21
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (649), (1597) imply:
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | (1598) all_22_3 = e21
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (580), (1597) imply:
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | (1599) all_26_2 = e21
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1031), (1597) imply:
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | (1600) all_28_8 = e21
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (162), (1597) imply:
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | (1601) ~ (all_14_9 = e21)
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | SIMP: (1601) implies:
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | (1602) ~ (all_14_9 = e21)
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (161), (1597) imply:
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | (1603) ~ (all_14_13 = e21)
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (807), (1597) imply:
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | (1604) ~ (all_6_2 = e21)
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | SIMP: (1604) implies:
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | (1605) ~ (all_6_2 = e21)
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1577), (1597) imply:
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | (1606) ~ (e23 = e21)
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (806), (1597) imply:
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | (1607) ~ (e22 = e21)
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | SIMP: (1607) implies:
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | (1608) ~ (e22 = e21)
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (797), (1597) imply:
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | (1609) ~ (e21 = e20)
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (909), (1597) imply:
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | (1610) op2(e21, e22) = all_22_2
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_14_6, all_22_2, e22,
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | e21, simplifying with (177), (1610) gives:
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | (1611) all_22_2 = all_14_6
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_14_8, all_22_4, e21,
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | e23, simplifying with (184), (1581) gives:
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | (1612) all_22_4 = all_14_8
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | | (1613) all_18_3 = e23
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (732), (1613) imply:
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | | (1614) all_14_12 = e23
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (583), (1614) imply:
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | | (1615) all_26_9 = e23
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (962), (1614) imply:
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | | (1616) all_28_6 = e23
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (137), (1614) imply:
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | | (1617) ~ (all_14_8 = e23)
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (999), (1614) imply:
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | | (1618) ~ (all_10_0 = e23)
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1618) implies:
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | | (1619) ~ (all_10_0 = e23)
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (380) gives:
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | | | (1620) all_26_4 = e23
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (784), (1620) imply:
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | | | (1621) all_14_8 = e23
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1617), (1621) imply:
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | | | (1622) $false
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1622) is inconsistent.
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | | | (1623) all_26_5 = e23 | all_26_8 = e23 | all_26_14 = e23
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1623) gives:
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | (1624) all_26_5 = e23
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (573), (1624) imply:
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | (1625) all_14_9 = e23
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (655), (1625) imply:
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | (1626) all_22_19 = e23
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1029), (1625) imply:
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | (1627) all_28_12 = e23
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (1625) imply:
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | (1628) ~ (all_14_13 = e23)
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1628) implies:
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | (1629) ~ (all_14_13 = e23)
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (917), (1625) imply:
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | (1630) op2(e23, e22) = all_22_18
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (180), (1625) imply:
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | (1631) op2(e22, e21) = e23
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_14_4, all_22_18, e22,
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | e23, simplifying with (185), (1630) gives:
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | (1632) all_22_18 = all_14_4
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (1633) all_18_11 = e23
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (989), (1633) imply:
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (1634) all_10_0 = e23
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1619), (1634) imply:
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (1635) $false
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1635) is inconsistent.
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (1636) ~ (all_18_11 = e23)
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | (1637) all_18_11 = e22 | all_18_11 = e21 | all_18_11 =
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | e20
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1638) all_18_2 = e23
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (724), (1617), (1638) are inconsistent by
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #47.
% 57.26/9.02 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1639) ~ (all_18_2 = e23)
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1640) all_18_2 = e22 | all_18_2 = e21 | all_18_2 = e20
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1641) all_16_9 = e13
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (750), (1641) imply:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1642) all_12_6 = e13
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1293), (1642) imply:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1643) $false
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1643) is inconsistent.
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1644) all_16_9 = e12 | all_16_9 = e11 | all_16_9 = e10
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1645) all_18_9 = e23
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (721), (1645) imply:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1646) all_14_6 = e23
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1548), (1646) imply:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1647) $false
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1647) is inconsistent.
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1648) ~ (all_18_9 = e23)
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1649) all_18_9 = e22 | all_18_9 = e21 | all_18_9 = e20
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (282) gives:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1650) all_20_0 = all_20_1
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (944), (1650) imply:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1651) all_20_1 = e12
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (678), (840), (1651) are inconsistent by sub-proof
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #73.
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1652) ~ (all_20_0 = all_20_1)
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1653) all_20_2 = all_20_3 | all_20_4 = all_20_5 |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_20_6 = all_20_7
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (352) gives:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1654) all_24_0 = e12
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (610), (1654) imply:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1655) e12 = e10
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (840), (1655) imply:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1656) $false
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1656) is inconsistent.
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1657) all_24_1 = e12 | all_24_4 = e12 | all_24_9 = e12
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (347) gives:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1658) all_24_1 = e11
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (612), (1658) imply:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1659) all_12_4 = e11
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1659) implies:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1660) all_12_4 = e11
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (89), (1660) imply:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1661) ~ (all_12_6 = e11)
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1661) implies:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1662) ~ (all_12_6 = e11)
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (858), (1660) imply:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1663) h4(e11) = all_28_3
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1657) gives:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1664) all_24_1 = e12
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1658), (1664) imply:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1665) e12 = e11
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (851), (1665) imply:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1666) $false
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1666) is inconsistent.
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1667) all_24_4 = e12 | all_24_9 = e12
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1667) gives:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1668) all_24_4 = e12
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (528), (1668) imply:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1669) all_12_8 = e12
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1669) implies:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1670) all_12_8 = e12
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1300), (1670) imply:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1671) all_20_4 = e12
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (75), (1670) imply:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1672) ~ (all_12_10 = e12)
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1672) implies:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1673) ~ (all_12_10 = e12)
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1043), (1670) imply:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1674) ~ (e13 = e12)
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (859), (1670) imply:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1675) h4(e12) = all_28_5
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1541) gives:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1676) all_16_10 = e10
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (756), (1676) imply:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1677) all_12_10 = e10
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1502), (1677) imply:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1678) $false
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1678) is inconsistent.
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1679) all_16_10 = e12 | all_16_10 = e11
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1653) gives:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1680) all_20_2 = all_20_3
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1275), (1299), (1662), (1680) are inconsistent by
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #54.
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1681) all_20_4 = all_20_5 | all_20_6 = all_20_7
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1681) gives:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1682) all_20_4 = all_20_5
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1671), (1682) imply:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1683) all_20_5 = e12
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1290), (1683) imply:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1684) e13 = e12
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1509), (1684) imply:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1685) $false
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1685) is inconsistent.
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1686) all_20_6 = all_20_7
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (946), (1686) imply:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1687) all_20_7 = all_12_13
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (487), (1687) imply:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1688) all_12_13 = e12
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1688) implies:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1689) all_12_13 = e12
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (63), (1689) imply:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1690) ~ (all_12_14 = e12)
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1690) implies:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1691) ~ (all_12_14 = e12)
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (864), (1689) imply:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1692) h4(e12) = all_28_15
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1679) gives:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1693) all_16_10 = e12
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (756), (1693) imply:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1694) all_12_10 = e12
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1694) implies:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1695) all_12_10 = e12
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1673), (1695) imply:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1696) $false
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1696) is inconsistent.
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1697) all_16_10 = e11
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (756), (1697) imply:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1698) all_12_10 = e11
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1698) implies:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1699) all_12_10 = e11
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (68), (1699) imply:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1700) ~ (all_12_14 = e11)
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (867), (1699) imply:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1701) h4(e11) = all_28_21
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1531) gives:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1702) all_16_11 = e10
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (762), (1702) imply:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1703) all_12_14 = e10
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1703) implies:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1704) all_12_14 = e10
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (79), (1704) imply:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1705) ~ (all_12_6 = e10)
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (868), (1704) imply:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1706) h4(e10) = all_28_23
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (346) gives:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1707) all_24_1 = e10
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1658), (1707) imply:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1708) e11 = e10
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1708) implies:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1709) e11 = e10
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (1709) imply:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1710) $false
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1710) is inconsistent.
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1711) all_24_3 = e10 | all_24_7 = e10 | all_24_13 = e10
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1644) gives:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1712) all_16_9 = e10
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (750), (1705), (1712) are inconsistent by
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #69.
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1713) all_16_9 = e12 | all_16_9 = e11
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1713) gives:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1714) all_16_9 = e12
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (750), (1714) imply:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1715) all_12_6 = e12
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1715) implies:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1716) all_12_6 = e12
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (85), (1716) imply:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1717) ~ (all_12_5 = e12)
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (866), (1716) imply:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1718) h4(e12) = all_28_19
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1711) gives:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1719) all_24_3 = e10
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (620), (1719) imply:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1720) all_12_5 = e10
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1720) implies:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1721) all_12_5 = e10
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (862), (1721) imply:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1722) h4(e10) = all_28_11
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with e20, all_28_11, e10,
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (873), (1722) gives:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1723) all_28_11 = e20
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_28_23, all_28_11, e10,
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1706), (1722) gives:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1724) all_28_11 = all_28_23
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with e21, all_28_3, e11,
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1004), (1663) gives:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1725) all_28_3 = e21
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_28_21, all_28_3, e11,
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1663), (1701) gives:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1726) all_28_3 = all_28_21
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with e22, all_28_15, e12,
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1003), (1692) gives:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1727) all_28_15 = e22
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_28_15, all_28_5, e12,
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1675), (1692) gives:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1728) all_28_5 = all_28_15
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (27) with all_28_19, all_28_5, e12,
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1675), (1718) gives:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1729) all_28_5 = all_28_19
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1725), (1726) imply:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1730) all_28_21 = e21
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1730) implies:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1731) all_28_21 = e21
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1728), (1729) imply:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1732) all_28_15 = all_28_19
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1732) implies:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1733) all_28_15 = all_28_19
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1723), (1724) imply:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1734) all_28_23 = e20
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1727), (1733) imply:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1735) all_28_19 = e22
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1729), (1735) imply:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1736) all_28_5 = e22
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (320) gives:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1737) all_22_0 = all_22_1
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.03 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (951), (1737) imply:
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1738) all_22_1 = e22
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (645), (1569), (1738) are inconsistent by
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #46.
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1739) ~ (all_22_0 = all_22_1)
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1740) all_22_2 = all_22_3 | all_22_4 = all_22_5 |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_6 = all_22_7
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (370) gives:
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1741) all_26_15 = e20
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (544), (1609), (1741) are inconsistent by
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #45.
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1742) ~ (all_26_15 = e20)
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1743) (all_26_9 = e20 | all_26_10 = e20 | all_26_11 =
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & (all_26_12 = e20 | all_26_13 = e20 |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_14 = e20)
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1743) implies:
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1744) all_26_9 = e20 | all_26_10 = e20 | all_26_11 = e20
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (384) gives:
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1745) all_26_1 = e20
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (589), (1745) imply:
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1746) all_14_4 = e20
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1746) implies:
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1747) all_14_4 = e20
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (801), (1747) imply:
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1748) $false
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1748) is inconsistent.
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1749) all_26_3 = e20 | all_26_7 = e20 | all_26_13 = e20
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (373) gives:
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1750) all_26_6 = e20
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1575), (1750) imply:
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1751) e23 = e20
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10), (371), (544), (547), (783), (1545),
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1550), (1567), (1751) are inconsistent by
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #43.
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1752) ~ (all_26_6 = e20)
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1753) all_26_7 = e20 | all_26_8 = e20 | all_26_11 = e20
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (385) gives:
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1754) all_26_1 = e21
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (589), (1754) imply:
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1755) all_14_4 = e21
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1755) implies:
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1756) all_14_4 = e21
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1033), (1756) imply:
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1757) all_28_2 = e21
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (153), (1756) imply:
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1758) ~ (all_14_6 = e21)
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1758) implies:
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1759) ~ (all_14_6 = e21)
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (374) gives:
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1760) all_26_6 = e21
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (1575), (1760) are inconsistent by sub-proof
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #42.
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1761) all_26_7 = e21 | all_26_8 = e21 | all_26_11 = e21
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1761) gives:
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1762) all_26_7 = e21
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (564), (1759), (1762) are inconsistent by
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #41.
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1763) all_26_8 = e21 | all_26_11 = e21
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1640) gives:
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1764) all_18_2 = e20
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (724), (803), (1764) are inconsistent by sub-proof
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #40.
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1765) ~ (all_18_2 = e20)
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1766) all_18_2 = e22 | all_18_2 = e21
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1763) gives:
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1767) all_26_8 = e21
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (561), (1767) imply:
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1768) all_4_2 = e21
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1768) implies:
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1769) all_4_2 = e21
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1025), (1769) imply:
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1770) all_28_20 = e21
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (825), (1769) imply:
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1771) ~ (all_14_8 = e21)
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (379) gives:
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1772) all_26_4 = e22
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (784), (1772) imply:
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1773) all_14_8 = e22
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1773) implies:
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1774) all_14_8 = e22
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1612), (1774) imply:
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1775) all_22_4 = e22
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1032), (1774) imply:
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1776) all_28_4 = e22
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1617), (1774) imply:
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1777) ~ (e23 = e22)
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1740) gives:
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1778) all_22_2 = all_22_3
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1611), (1778) imply:
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1779) all_22_3 = all_14_6
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1598), (1779) imply:
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1780) all_14_6 = e21
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1780) implies:
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1781) all_14_6 = e21
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1759), (1781) imply:
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1782) $false
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1782) is inconsistent.
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1783) ~ (all_22_2 = all_22_3)
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1784) all_22_4 = all_22_5 | all_22_6 = all_22_7
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1784) gives:
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1785) all_22_4 = all_22_5
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1775), (1785) imply:
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1786) all_22_5 = e22
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1574), (1786) imply:
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1787) e23 = e22
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (1787) imply:
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1788) $false
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1788) is inconsistent.
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1789) all_22_6 = all_22_7
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (960), (1789) imply:
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1790) all_22_7 = all_14_13
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (552), (1790) imply:
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1791) all_14_13 = e22
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1791) implies:
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1792) all_14_13 = e22
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (570), (1792) imply:
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1793) all_26_10 = e22
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1028), (1792) imply:
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1794) all_28_14 = e22
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1637) gives:
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1795) all_18_11 = e20
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (989), (1795) imply:
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1796) all_10_0 = e20
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (998), (1796) imply:
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1797) ~ (all_14_6 = e20)
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1002), (1796) imply:
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1798) ~ (e21 = e20)
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1649) gives:
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1799) all_18_9 = e20
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (721), (1799) imply:
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1800) all_14_6 = e20
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1797), (1800) imply:
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1801) $false
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1801) is inconsistent.
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1802) ~ (all_18_9 = e20)
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1803) all_18_9 = e22 | all_18_9 = e21
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1803) gives:
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1804) all_18_9 = e22
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (721), (1804) imply:
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1805) all_14_6 = e22
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (564), (1805) imply:
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1806) all_26_7 = e22
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1026), (1805) imply:
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1807) all_28_18 = e22
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1749) gives:
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1808) all_26_3 = e20
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (785), (1808) imply:
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1809) all_6_2 = e20
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1809) implies:
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1810) all_6_2 = e20
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1030), (1810) imply:
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1811) all_28_10 = e20
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (472) gives:
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1812) ~ (all_28_0 = all_28_1)
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (963), (970), (1812) imply:
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1813) $false
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1813) is inconsistent.
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1814) ~ (all_28_2 = all_28_3) | ~ (all_28_4 =
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_5) | ~ (all_28_6 = all_28_7) | ~
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_8 = all_28_9) | ~ (all_28_10 = all_28_11)
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_12 = all_28_13) | ~ (all_28_14 =
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_15) | ~ (all_28_16 = all_28_17) | ~
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_18 = all_28_19) | ~ (all_28_20 =
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_21) | ~ (all_28_22 = all_28_23) | ~
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_24 = all_28_26) | ~ (all_28_27 =
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_29) | ~ (all_28_30 = all_28_32) | ~
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_33 = all_28_35) | ( ~ (all_28_25 = e23) &
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_28 = e23) & ~ (all_28_31 = e23) & ~
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & ~
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e22) & ~ (all_28_31 = e22) & ~
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e22)) | ( ~ (all_28_25 = e21) & ~
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e21) & ~ (all_28_31 = e21) & ~
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e20) & ~ (all_28_31 = e20) & ~
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e20))
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1637) gives:
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1024), (1796) imply:
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1815) all_28_22 = e20
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1814) gives:
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1816) ~ (all_28_2 = all_28_3)
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1725), (1757), (1816) imply:
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1817) $false
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1817) is inconsistent.
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.26/9.04 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1818) ~ (all_28_4 = all_28_5) | ~ (all_28_6 =
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_7) | ~ (all_28_8 = all_28_9) | ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_10 = all_28_11) | ~ (all_28_12 =
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_13) | ~ (all_28_14 = all_28_15) | ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_16 = all_28_17) | ~ (all_28_18 =
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_19) | ~ (all_28_20 = all_28_21) | ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_22 = all_28_23) | ~ (all_28_24 =
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_26) | ~ (all_28_27 = all_28_29) | ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_30 = all_28_32) | ~ (all_28_33 =
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_35) | ( ~ (all_28_25 = e23) & ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e23) & ~ (all_28_31 = e23) & ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e22) & ~ (all_28_31 = e22) & ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e22)) | ( ~ (all_28_25 = e21) & ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e21) & ~ (all_28_31 = e21) & ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e20) & ~ (all_28_31 = e20) & ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e20))
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1818) gives:
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1819) ~ (all_28_4 = all_28_5)
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1736), (1776), (1819) imply:
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1820) $false
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1820) is inconsistent.
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1821) ~ (all_28_6 = all_28_7) | ~ (all_28_8 =
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_9) | ~ (all_28_10 = all_28_11) | ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_12 = all_28_13) | ~ (all_28_14 =
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_15) | ~ (all_28_16 = all_28_17) | ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_18 = all_28_19) | ~ (all_28_20 =
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_21) | ~ (all_28_22 = all_28_23) | ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_24 = all_28_26) | ~ (all_28_27 =
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_29) | ~ (all_28_30 = all_28_32) | ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_33 = all_28_35) | ( ~ (all_28_25 = e23) &
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_28 = e23) & ~ (all_28_31 = e23) & ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e22) & ~ (all_28_31 = e22) & ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e22)) | ( ~ (all_28_25 = e21) & ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e21) & ~ (all_28_31 = e21) & ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e20) & ~ (all_28_31 = e20) & ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e20))
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1821) gives:
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1822) ~ (all_28_6 = all_28_7)
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1049), (1616), (1822) imply:
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1823) $false
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1823) is inconsistent.
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1824) ~ (all_28_8 = all_28_9) | ~ (all_28_10 =
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_11) | ~ (all_28_12 = all_28_13) | ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_14 = all_28_15) | ~ (all_28_16 =
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_17) | ~ (all_28_18 = all_28_19) | ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_20 = all_28_21) | ~ (all_28_22 =
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_23) | ~ (all_28_24 = all_28_26) | ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_27 = all_28_29) | ~ (all_28_30 =
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_32) | ~ (all_28_33 = all_28_35) | ( ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e23) & ~ (all_28_28 = e23) & ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e23) & ~ (all_28_34 = e23)) | ( ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e22) & ~ (all_28_28 = e22) & ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e22) & ~ (all_28_34 = e22)) | ( ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e21) & ~ (all_28_28 = e21) & ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e21) & ~ (all_28_34 = e21)) | ( ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e20) & ~ (all_28_28 = e20) & ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e20) & ~ (all_28_34 = e20))
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1824) gives:
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1825) ~ (all_28_8 = all_28_9)
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1301), (1600), (1825) imply:
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1826) $false
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1826) is inconsistent.
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1827) ~ (all_28_10 = all_28_11) | ~ (all_28_12 =
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_13) | ~ (all_28_14 = all_28_15) | ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_16 = all_28_17) | ~ (all_28_18 =
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_19) | ~ (all_28_20 = all_28_21) | ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_22 = all_28_23) | ~ (all_28_24 =
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_26) | ~ (all_28_27 = all_28_29) | ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_30 = all_28_32) | ~ (all_28_33 =
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_35) | ( ~ (all_28_25 = e23) & ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e23) & ~ (all_28_31 = e23) & ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e22) & ~ (all_28_31 = e22) & ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e22)) | ( ~ (all_28_25 = e21) & ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e21) & ~ (all_28_31 = e21) & ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e20) & ~ (all_28_31 = e20) & ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e20))
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1827) gives:
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1828) ~ (all_28_10 = all_28_11)
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1723), (1811), (1828) imply:
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1829) $false
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1829) is inconsistent.
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1830) ~ (all_28_12 = all_28_13) | ~ (all_28_14 =
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_15) | ~ (all_28_16 = all_28_17) | ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_18 = all_28_19) | ~ (all_28_20 =
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_21) | ~ (all_28_22 = all_28_23) | ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_24 = all_28_26) | ~ (all_28_27 =
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_29) | ~ (all_28_30 = all_28_32) | ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_33 = all_28_35) | ( ~ (all_28_25 = e23) &
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_28 = e23) & ~ (all_28_31 = e23) & ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e22) & ~ (all_28_31 = e22) & ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e22)) | ( ~ (all_28_25 = e21) & ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e21) & ~ (all_28_31 = e21) & ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e20) & ~ (all_28_31 = e20) & ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e20))
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1830) gives:
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1831) ~ (all_28_12 = all_28_13)
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1523), (1627), (1831) imply:
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1832) $false
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1832) is inconsistent.
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1833) ~ (all_28_14 = all_28_15) | ~ (all_28_16 =
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_17) | ~ (all_28_18 = all_28_19) | ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_20 = all_28_21) | ~ (all_28_22 =
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_23) | ~ (all_28_24 = all_28_26) | ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_27 = all_28_29) | ~ (all_28_30 =
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_32) | ~ (all_28_33 = all_28_35) | ( ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e23) & ~ (all_28_28 = e23) & ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e23) & ~ (all_28_34 = e23)) | ( ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e22) & ~ (all_28_28 = e22) & ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e22) & ~ (all_28_34 = e22)) | ( ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e21) & ~ (all_28_28 = e21) & ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e21) & ~ (all_28_34 = e21)) | ( ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e20) & ~ (all_28_28 = e20) & ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e20) & ~ (all_28_34 = e20))
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1833) gives:
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1834) ~ (all_28_14 = all_28_15)
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1727), (1794), (1834) imply:
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1835) $false
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1835) is inconsistent.
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1836) ~ (all_28_16 = all_28_17) | ~ (all_28_18 =
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_19) | ~ (all_28_20 = all_28_21) | ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_22 = all_28_23) | ~ (all_28_24 =
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_26) | ~ (all_28_27 = all_28_29) | ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_30 = all_28_32) | ~ (all_28_33 =
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_35) | ( ~ (all_28_25 = e23) & ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e23) & ~ (all_28_31 = e23) & ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e22) & ~ (all_28_31 = e22) & ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e22)) | ( ~ (all_28_25 = e21) & ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e21) & ~ (all_28_31 = e21) & ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e20) & ~ (all_28_31 = e20) & ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e20))
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1836) gives:
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1837) ~ (all_28_16 = all_28_17)
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1302), (1576), (1837) imply:
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1838) $false
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1838) is inconsistent.
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1839) ~ (all_28_18 = all_28_19) | ~ (all_28_20 =
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_21) | ~ (all_28_22 = all_28_23) | ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_24 = all_28_26) | ~ (all_28_27 =
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_29) | ~ (all_28_30 = all_28_32) | ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_33 = all_28_35) | ( ~ (all_28_25 = e23) &
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_28 = e23) & ~ (all_28_31 = e23) & ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e22) & ~ (all_28_31 = e22) & ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e22)) | ( ~ (all_28_25 = e21) & ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e21) & ~ (all_28_31 = e21) & ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e20) & ~ (all_28_31 = e20) & ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e20))
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1839) gives:
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1840) ~ (all_28_18 = all_28_19)
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1735), (1807), (1840) imply:
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1841) $false
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1841) is inconsistent.
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1842) ~ (all_28_20 = all_28_21) | ~ (all_28_22 =
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_23) | ~ (all_28_24 = all_28_26) | ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_27 = all_28_29) | ~ (all_28_30 =
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_32) | ~ (all_28_33 = all_28_35) | ( ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e23) & ~ (all_28_28 = e23) & ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e23) & ~ (all_28_34 = e23)) | ( ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e22) & ~ (all_28_28 = e22) & ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e22) & ~ (all_28_34 = e22)) | ( ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e21) & ~ (all_28_28 = e21) & ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e21) & ~ (all_28_34 = e21)) | ( ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e20) & ~ (all_28_28 = e20) & ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e20) & ~ (all_28_34 = e20))
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1842) gives:
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1843) ~ (all_28_20 = all_28_21)
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1731), (1770), (1843) imply:
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1844) $false
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1844) is inconsistent.
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1845) ~ (all_28_22 = all_28_23) | ~ (all_28_24 =
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_26) | ~ (all_28_27 = all_28_29) | ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_30 = all_28_32) | ~ (all_28_33 =
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_35) | ( ~ (all_28_25 = e23) & ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e23) & ~ (all_28_31 = e23) & ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e22) & ~ (all_28_31 = e22) & ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e22)) | ( ~ (all_28_25 = e21) & ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e21) & ~ (all_28_31 = e21) & ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e20) & ~ (all_28_31 = e20) & ~
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e20))
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1845) gives:
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1846) ~ (all_28_22 = all_28_23)
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1734), (1815), (1846) imply:
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1847) $false
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1847) is inconsistent.
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.26/9.05 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1848) ~ (all_28_24 = all_28_26) | ~ (all_28_27 =
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_29) | ~ (all_28_30 = all_28_32) | ~
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_33 = all_28_35) | ( ~ (all_28_25 = e23) &
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_28 = e23) & ~ (all_28_31 = e23) & ~
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & ~
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e22) & ~ (all_28_31 = e22) & ~
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e22)) | ( ~ (all_28_25 = e21) & ~
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e21) & ~ (all_28_31 = e21) & ~
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e20) & ~ (all_28_31 = e20) & ~
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e20))
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1848) gives:
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1849) ~ (all_28_24 = all_28_26)
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (995), (996), (1849) imply:
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1850) $false
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1850) is inconsistent.
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1851) ~ (all_28_27 = all_28_29) | ~ (all_28_30 =
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_32) | ~ (all_28_33 = all_28_35) | ( ~
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e23) & ~ (all_28_28 = e23) & ~
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e23) & ~ (all_28_34 = e23)) | ( ~
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e22) & ~ (all_28_28 = e22) & ~
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e22) & ~ (all_28_34 = e22)) | ( ~
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e21) & ~ (all_28_28 = e21) & ~
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e21) & ~ (all_28_34 = e21)) | ( ~
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e20) & ~ (all_28_28 = e20) & ~
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e20) & ~ (all_28_34 = e20))
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1851) gives:
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1852) ~ (all_28_27 = all_28_29)
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1525), (1546), (1852) imply:
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1853) $false
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1853) is inconsistent.
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1854) ~ (all_28_30 = all_28_32) | ~ (all_28_33 =
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_35) | ( ~ (all_28_25 = e23) & ~
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e23) & ~ (all_28_31 = e23) & ~
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & ~
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e22) & ~ (all_28_31 = e22) & ~
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e22)) | ( ~ (all_28_25 = e21) & ~
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e21) & ~ (all_28_31 = e21) & ~
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e20) & ~ (all_28_31 = e20) & ~
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e20))
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1854) gives:
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1855) ~ (all_28_30 = all_28_32)
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1522), (1562), (1855) imply:
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1856) $false
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1856) is inconsistent.
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1857) ~ (all_28_33 = all_28_35) | ( ~ (all_28_25 = e23)
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_28 = e23) & ~ (all_28_31 = e23) &
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_34 = e23)) | ( ~ (all_28_25 = e22) &
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_28 = e22) & ~ (all_28_31 = e22) & ~
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e22)) | ( ~ (all_28_25 = e21) & ~
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e21) & ~ (all_28_31 = e21) & ~
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e20) & ~ (all_28_31 = e20) & ~
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e20))
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1857) gives:
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1858) ~ (all_28_33 = all_28_35)
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (947), (992), (1858) imply:
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1859) $false
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1859) is inconsistent.
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1860) ( ~ (all_28_25 = e23) & ~ (all_28_28 = e23) & ~
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e23) & ~ (all_28_34 = e23)) | ( ~
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e22) & ~ (all_28_28 = e22) & ~
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e22) & ~ (all_28_34 = e22)) | ( ~
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e21) & ~ (all_28_28 = e21) & ~
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e21) & ~ (all_28_34 = e21)) | ( ~
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e20) & ~ (all_28_28 = e20) & ~
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e20) & ~ (all_28_34 = e20))
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1860) gives:
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1861) ( ~ (all_28_25 = e23) & ~ (all_28_28 = e23) & ~
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e23) & ~ (all_28_34 = e23)) | ( ~
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e22) & ~ (all_28_28 = e22) & ~
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e22) & ~ (all_28_34 = e22))
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1861) gives:
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1862) ~ (all_28_25 = e23) & ~ (all_28_28 = e23) & ~
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e23) & ~ (all_28_34 = e23)
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1862) implies:
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1863) ~ (all_28_25 = e23)
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (608), (1863) imply:
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1864) $false
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1864) is inconsistent.
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1865) ~ (all_28_25 = e22) & ~ (all_28_28 = e22) & ~
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e22) & ~ (all_28_34 = e22)
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1865) implies:
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1866) ~ (all_28_28 = e22)
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (994), (1866) imply:
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1867) $false
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1867) is inconsistent.
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1868) ( ~ (all_28_25 = e21) & ~ (all_28_28 = e21) & ~
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e21) & ~ (all_28_34 = e21)) | ( ~
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e20) & ~ (all_28_28 = e20) & ~
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e20) & ~ (all_28_34 = e20))
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1868) gives:
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1869) ~ (all_28_25 = e21) & ~ (all_28_28 = e21) & ~
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e21) & ~ (all_28_34 = e21)
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1869) implies:
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1870) ~ (all_28_31 = e21)
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (993), (1870) imply:
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1871) $false
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1871) is inconsistent.
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1872) ~ (all_28_25 = e20) & ~ (all_28_28 = e20) & ~
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e20) & ~ (all_28_34 = e20)
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1872) implies:
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1873) ~ (all_28_34 = e20)
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (795), (1873) imply:
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1874) $false
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1874) is inconsistent.
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1875) ~ (all_18_11 = e20)
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (989), (1875) imply:
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1876) ~ (all_10_0 = e20)
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (991), (1569), (1609), (1753), (1767), (1806),
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1876) are inconsistent by sub-proof #38.
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1877) all_26_7 = e20 | all_26_13 = e20
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10), (371), (544), (547), (783), (1550),
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1567), (1569), (1806), (1877) are inconsistent by
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #37.
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1878) all_18_9 = e21
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (721), (1878) imply:
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1879) all_14_6 = e21
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1759), (1879) imply:
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1880) $false
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1880) is inconsistent.
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1881) ~ (all_18_11 = e20)
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (989), (1881) imply:
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1882) ~ (all_10_0 = e20)
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1744) gives:
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1883) all_26_9 = e20
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1615), (1883) imply:
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1884) e23 = e20
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10), (371), (544), (547), (783), (1545),
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1550), (1567), (1884) are inconsistent by
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #43.
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.26/9.06 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1885) all_26_10 = e20 | all_26_11 = e20
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1885) gives:
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1886) all_26_10 = e20
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1569), (1793), (1886) are inconsistent by
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #36.
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1887) all_26_11 = e20
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (991), (1882), (1887) are inconsistent by
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #39.
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1888) ~ (all_26_4 = e22)
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (784), (1888) imply:
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1889) ~ (all_14_8 = e22)
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (724), (1766), (1771), (1889) are inconsistent by
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #35.
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1890) all_26_11 = e21
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (991), (1002), (1890) are inconsistent by
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #34.
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1891) all_26_3 = e21 | all_26_7 = e21 | all_26_13 = e21
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1891) gives:
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1892) all_26_3 = e21
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (785), (1605), (1892) are inconsistent by
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #33.
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1893) all_26_7 = e21 | all_26_13 = e21
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1893) gives:
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1894) all_26_7 = e21
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (564), (1894) imply:
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1895) all_14_6 = e21
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1895) implies:
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1896) all_14_6 = e21
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1749) gives:
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1897) all_26_3 = e20
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (785), (1897) imply:
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1898) all_6_2 = e20
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1898) implies:
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1899) all_6_2 = e20
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (378) gives:
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1900) all_26_4 = e21
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (784), (1900) imply:
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1901) all_14_8 = e21
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1901) implies:
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1902) all_14_8 = e21
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (584), (1902) imply:
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1903) all_22_17 = e21
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (916), (1902) imply:
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1904) op2(e21, e23) = all_22_16
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (379) gives:
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1905) all_26_4 = e22
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1900), (1905) imply:
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1906) e22 = e21
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1608), (1906) imply:
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1907) $false
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1907) is inconsistent.
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1908) ~ (all_26_4 = e22)
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1909) all_26_5 = e22 | all_26_8 = e22 | all_26_14 = e22
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (386) gives:
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1910) all_26_1 = e22
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (589), (1910) imply:
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1911) all_14_4 = e22
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1911) implies:
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1912) all_14_4 = e22
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1632), (1912) imply:
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1913) all_22_18 = e22
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1547), (1912) imply:
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1914) ~ (e23 = e22)
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1909) gives:
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1915) all_26_5 = e22
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1624), (1915) imply:
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1916) e23 = e22
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1916) implies:
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1917) e23 = e22
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (1917) imply:
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1918) $false
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1918) is inconsistent.
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1919) all_26_8 = e22 | all_26_14 = e22
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1919) gives:
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1920) all_26_8 = e22
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (561), (1920) imply:
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1921) all_4_2 = e22
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1921) implies:
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1922) all_4_2 = e22
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (661), (1922) imply:
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1923) all_22_21 = e22
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (32), (1922) imply:
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1924) op2(e22, e21) = all_4_0
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with e23, all_22_16, e23, e21,
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1582), (1904) gives:
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1925) all_22_16 = e23
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with e23, all_4_0, e21, e22,
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1631), (1924) gives:
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1926) all_4_0 = e23
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (982), (1926) imply:
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1927) all_22_20 = e23
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (318) gives:
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1928) all_22_16 = all_22_17
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1925), (1928) imply:
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1929) all_22_17 = e23
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1903), (1929) imply:
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1930) e23 = e21
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1930) implies:
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1931) e23 = e21
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (1931) imply:
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1932) $false
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1932) is inconsistent.
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1933) all_22_18 = all_22_19 | all_22_20 = all_22_21 |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_22 = all_22_23
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1933) gives:
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1934) all_22_18 = all_22_19
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1913), (1934) imply:
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1935) all_22_19 = e22
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1626), (1935) imply:
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1936) e23 = e22
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (1936) imply:
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1937) $false
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1937) is inconsistent.
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1938) ~ (all_22_18 = all_22_19)
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1939) all_22_20 = all_22_21 | all_22_22 = all_22_23
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1939) gives:
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1940) all_22_20 = all_22_21
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1927), (1940) imply:
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1941) all_22_21 = e23
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1923), (1941) imply:
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1942) e23 = e22
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1942) implies:
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1943) e23 = e22
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (1943) imply:
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1944) $false
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1944) is inconsistent.
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1945) all_22_22 = all_22_23
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1560), (1571), (1609), (1945) are inconsistent by
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #32.
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1946) all_26_14 = e22
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1561), (1946) imply:
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1947) e22 = e20
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1569), (1947) imply:
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1948) $false
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1948) is inconsistent.
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.26/9.07 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1949) all_26_3 = e22 | all_26_7 = e22 | all_26_13 = e22
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (1545), (1569), (1608), (1894), (1897),
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1949) are inconsistent by sub-proof #31.
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1950) ~ (all_26_4 = e21)
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (784), (1950) imply:
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1951) ~ (all_14_8 = e21)
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (386) gives:
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1952) all_26_1 = e22
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (589), (1952) imply:
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1953) all_14_4 = e22
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1953) implies:
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1954) all_14_4 = e22
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (151), (1954) imply:
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1955) ~ (all_14_8 = e22)
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1955) implies:
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1956) ~ (all_14_8 = e22)
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (724), (803), (1640), (1951), (1956) are
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #30.
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1957) all_26_3 = e22 | all_26_7 = e22 | all_26_13 = e22
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (1545), (1569), (1608), (1894), (1897),
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1957) are inconsistent by sub-proof #31.
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1958) all_26_7 = e20 | all_26_13 = e20
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1958) gives:
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1959) all_26_7 = e20
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1894), (1959) imply:
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1960) e21 = e20
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1960) implies:
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1961) e21 = e20
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1609), (1961) imply:
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1962) $false
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1962) is inconsistent.
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1963) all_26_13 = e20
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10), (371), (544), (547), (783), (1550),
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1567), (1963) are inconsistent by sub-proof #44.
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1964) all_26_13 = e21
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1545), (1964) imply:
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1965) e23 = e21
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (1965) imply:
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1966) $false
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1966) is inconsistent.
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1967) ~ (all_24_3 = e10)
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (620), (1967) imply:
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1968) ~ (all_12_5 = e10)
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1527) gives:
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1969) all_16_5 = e10
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (748), (1969) imply:
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1970) all_12_5 = e10
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1968), (1970) imply:
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1971) $false
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1971) is inconsistent.
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1972) all_16_5 = e12 | all_16_5 = e11
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (748), (1279), (1717), (1972) are inconsistent by
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #50.
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.26/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1973) all_16_9 = e11
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (750), (1662), (1973) are inconsistent by
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #63.
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1974) all_16_11 = e12 | all_16_11 = e11
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (762), (856), (1691), (1974) are inconsistent by
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #60.
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1975) all_24_9 = e12
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1041), (1975) imply:
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1976) e13 = e12
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1976) implies:
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1977) e13 = e12
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1509), (1977) imply:
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1978) $false
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1978) is inconsistent.
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1979) ~ (all_24_1 = e11)
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (612), (1979) imply:
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1980) ~ (all_12_4 = e11)
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (351) gives:
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1981) all_24_0 = e11
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (610), (1981) are inconsistent by sub-proof
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #75.
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1982) all_24_1 = e11 | all_24_4 = e11 | all_24_9 = e11
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1536) gives:
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1983) all_16_1 = e10
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (746), (1983) imply:
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1984) all_12_4 = e10
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (842), (1984) imply:
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1985) $false
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1985) is inconsistent.
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1986) ~ (all_16_1 = e10)
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1987) all_16_1 = e12 | all_16_1 = e11
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1987) gives:
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1988) all_16_1 = e12
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (746), (1988) imply:
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1989) all_12_4 = e12
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1521), (1989) imply:
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1990) all_20_18 = e12
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (612), (1989) imply:
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1991) all_24_1 = e12
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (87), (1989) imply:
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1992) ~ (all_12_8 = e12)
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.08 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1992) implies:
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1993) ~ (all_12_8 = e12)
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1042), (1989) imply:
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1994) ~ (e13 = e12)
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (341) gives:
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1995) all_24_4 = e11
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (528), (1995) imply:
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1996) all_12_8 = e11
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (685), (1996) imply:
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1997) all_20_17 = e11
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1043), (1996) imply:
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1998) ~ (e13 = e11)
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (936), (1996) imply:
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1999) op1(e11, e13) = all_20_16
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (342) gives:
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2000) all_24_4 = e12
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1995), (2000) imply:
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2001) e12 = e11
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2001) implies:
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2002) e12 = e11
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (851), (2002) imply:
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2003) $false
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2003) is inconsistent.
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2004) all_24_5 = e12 | all_24_8 = e12 | all_24_14 = e12
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2004) gives:
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2005) all_24_5 = e12
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1512), (2005) imply:
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2006) e13 = e12
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1509), (2006) imply:
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2007) $false
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2007) is inconsistent.
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2008) all_24_8 = e12 | all_24_14 = e12
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2008) gives:
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2009) all_24_8 = e12
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (496), (2009) imply:
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2010) all_12_10 = e12
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (693), (2010) imply:
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2011) all_20_21 = e12
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (938), (2010) imply:
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2012) op1(e12, e11) = all_20_20
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with e13, all_20_16, e13, e11,
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1298), (1999) gives:
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2013) all_20_16 = e13
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (28) with e13, all_20_20, e11, e12,
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1519), (2012) gives:
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2014) all_20_20 = e13
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (280) gives:
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2015) all_20_16 = all_20_17
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2013), (2015) imply:
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2016) all_20_17 = e13
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1997), (2016) imply:
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2017) e13 = e11
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2017) implies:
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2018) e13 = e11
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (2018) imply:
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2019) $false
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2019) is inconsistent.
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2020) all_20_18 = all_20_19 | all_20_20 = all_20_21 |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_20_22 = all_20_23
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2020) gives:
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2021) all_20_18 = all_20_19
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1990), (2021) imply:
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2022) all_20_19 = e12
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1515), (2022) imply:
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2023) e13 = e12
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1509), (2023) imply:
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2024) $false
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2024) is inconsistent.
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2025) ~ (all_20_18 = all_20_19)
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2026) all_20_20 = all_20_21 | all_20_22 = all_20_23
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2026) gives:
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2027) all_20_20 = all_20_21
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2014), (2027) imply:
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2028) all_20_21 = e13
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2011), (2027) imply:
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2029) all_20_20 = e12
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1498), (1509), (1520), (2026), (2028),
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2029) are inconsistent by sub-proof #65.
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2030) all_20_22 = all_20_23
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (1498), (1520), (2030) are inconsistent by
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #66.
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2031) all_24_14 = e12
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1499), (2031) imply:
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2032) e12 = e10
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2032) implies:
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2033) e12 = e10
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (840), (2033) imply:
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2034) $false
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2034) is inconsistent.
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2035) ~ (all_24_4 = e11)
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (528), (2035) imply:
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2036) ~ (all_12_8 = e11)
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1982) gives:
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2037) all_24_1 = e11
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1991), (2037) imply:
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2038) e12 = e11
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (851), (2038) imply:
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2039) $false
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2039) is inconsistent.
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2040) all_24_4 = e11 | all_24_9 = e11
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2040) gives:
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2041) all_24_4 = e11
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (528), (2041) imply:
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2042) all_12_8 = e11
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2036), (2042) imply:
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2043) $false
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2043) is inconsistent.
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2044) all_24_9 = e11
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1041), (2044) imply:
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2045) e13 = e11
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (2045) imply:
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2046) $false
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2046) is inconsistent.
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2047) all_16_1 = e11
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (746), (2047) imply:
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2048) all_12_4 = e11
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1980), (2048) imply:
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2049) $false
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2049) is inconsistent.
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | (2050) all_26_8 = e23 | all_26_14 = e23
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2050) gives:
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | (2051) all_26_8 = e23
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (561), (2051) imply:
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | (2052) all_4_2 = e23
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1580), (2052) imply:
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | (2053) $false
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2053) is inconsistent.
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | (2054) all_26_14 = e23
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1561), (2054) imply:
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | (2055) e23 = e20
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10), (371), (544), (547), (783), (1545),
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | (1550), (1567), (2055) are inconsistent by
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #43.
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.67/9.09 | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | (2056) ~ (all_18_3 = e23)
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (732), (2056) imply:
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | (2057) ~ (all_14_12 = e23)
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (390) gives:
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | (2058) all_26_0 = e23
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (594), (2058) imply:
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | (2059) e23 = e20
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1545), (2059) imply:
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | (2060) all_26_13 = e20
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10), (371), (544), (547), (783), (1550),
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | (1567), (2060) are inconsistent by sub-proof #44.
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | (2061) all_26_1 = e23 | all_26_4 = e23 | all_26_9 = e23
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2061) gives:
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | (2062) all_26_1 = e23
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (589), (2062) imply:
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | (2063) all_14_4 = e23
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1547), (2063) imply:
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | (2064) $false
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2064) is inconsistent.
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | (2065) all_26_4 = e23 | all_26_9 = e23
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2065) gives:
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (2066) all_26_4 = e23
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (784), (2066) imply:
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (2067) all_14_8 = e23
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (2067) imply:
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (2068) ~ (all_14_9 = e23)
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2068) implies:
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (2069) ~ (all_14_9 = e23)
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (137), (2067) imply:
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | (2070) ~ (all_14_12 = e23)
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2071) all_18_6 = e23
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (726), (2071) imply:
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2072) all_14_9 = e23
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2069), (2072) imply:
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2073) $false
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2073) is inconsistent.
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2074) ~ (all_18_6 = e23)
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2075) all_18_6 = e22 | all_18_6 = e21 | all_18_6 = e20
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2075) gives:
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2076) all_18_6 = e20
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (726), (2076) imply:
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2077) all_14_9 = e20
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1563), (2077) imply:
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2078) $false
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2078) is inconsistent.
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2079) ~ (all_18_6 = e20)
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2080) all_18_6 = e22 | all_18_6 = e21
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2080) gives:
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2081) all_18_6 = e22
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (726), (2081) imply:
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2082) all_14_9 = e22
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (2082) imply:
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2083) ~ (all_14_13 = e22)
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2083) implies:
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2084) ~ (all_14_13 = e22)
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (820), (2082) imply:
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2085) ~ (all_6_2 = e22)
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2085) implies:
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2086) ~ (all_6_2 = e22)
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (826), (2082) imply:
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2087) ~ (all_4_2 = e22)
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2087) implies:
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2088) ~ (all_4_2 = e22)
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2069), (2082) imply:
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2089) ~ (e23 = e22)
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (240) gives:
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2090) all_18_5 = e23
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (718), (2090) imply:
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2091) all_6_2 = e23
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2091) implies:
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2092) all_6_2 = e23
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1552), (2092) imply:
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2093) $false
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2093) is inconsistent.
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2094) ~ (all_18_5 = e23)
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2095) all_18_5 = e22 | all_18_5 = e21 | all_18_5 = e20
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2096) all_18_10 = e23
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (728), (2096) imply:
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2097) all_4_2 = e23
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1580), (2097) imply:
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2098) $false
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2098) is inconsistent.
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2099) ~ (all_18_10 = e23)
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2100) all_18_10 = e22 | all_18_10 = e21 | all_18_10 =
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2100) gives:
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2101) all_18_10 = e20
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (728), (2101) imply:
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2102) all_4_2 = e20
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1565), (2102) imply:
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2103) $false
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2103) is inconsistent.
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2104) all_18_10 = e22 | all_18_10 = e21
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2104) gives:
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2105) all_18_10 = e22
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (728), (2105) imply:
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2106) all_4_2 = e22
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2088), (2106) imply:
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2107) $false
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2107) is inconsistent.
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2108) all_18_10 = e21
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (728), (2108) imply:
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2109) all_4_2 = e21
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (661), (2109) imply:
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2110) all_22_21 = e21
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (823), (2109) imply:
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2111) ~ (all_14_6 = e21)
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (383) gives:
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2112) all_26_2 = e23
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1599), (2112) imply:
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2113) e23 = e21
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2113) implies:
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2114) e23 = e21
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (2114) imply:
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2115) $false
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2115) is inconsistent.
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2116) ~ (all_26_2 = e23)
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2117) all_26_3 = e23 | all_26_5 = e23 | all_26_10 = e23
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2095) gives:
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2118) all_18_5 = e20
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (718), (2118) imply:
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2119) all_6_2 = e20
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (575), (2119) imply:
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2120) all_22_11 = e20
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (785), (2119) imply:
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2121) all_26_3 = e20
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (822), (2119) imply:
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2122) ~ (all_14_13 = e20)
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1605), (2119) imply:
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2123) ~ (e21 = e20)
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2124) all_18_7 = e23
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (733), (2124) imply:
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2125) all_14_13 = e23
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (664), (2125) imply:
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2126) all_22_27 = e23
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (316) gives:
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2127) (all_22_1 = e22 & all_22_9 = e23 & ~ (all_22_3 =
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_11 = e22) & ~ (all_22_19 =
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_27 = e20)) | (all_22_1 = e21
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_17 = e23 & ~ (all_22_5 = e23) & ~
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_13 = e22) & ~ (all_22_21 = e21) & ~
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_29 = e20)) | (all_22_1 = e20 & all_22_25
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23 & ~ (all_22_7 = e23) & ~ (all_22_15 =
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_23 = e21) & ~ (all_22_31 =
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20)) | (all_22_3 = e22 & all_22_11 = e23 & ~
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_1 = e23) & ~ (all_22_9 = e22) & ~
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_17 = e21) & ~ (all_22_25 = e20)) |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_5 = e21 & all_22_21 = e23 & ~ (all_22_1 =
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_9 = e22) & ~ (all_22_17 =
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_25 = e20)) | (all_22_7 = e20
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_31 = e23 & ~ (all_22_1 = e23) & ~
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_9 = e22) & ~ (all_22_17 = e21) & ~
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_25 = e20))
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2127) gives:
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2128) (all_22_1 = e22 & all_22_9 = e23 & ~ (all_22_3 =
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_11 = e22) & ~ (all_22_19 =
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_27 = e20)) | (all_22_1 = e21
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_17 = e23 & ~ (all_22_5 = e23) & ~
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_13 = e22) & ~ (all_22_21 = e21) & ~
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_29 = e20)) | (all_22_1 = e20 & all_22_25
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23 & ~ (all_22_7 = e23) & ~ (all_22_15 =
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_23 = e21) & ~ (all_22_31 =
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20))
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (645), (662), (1569), (1609), (2057), (2128) are
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #28.
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2129) (all_22_3 = e22 & all_22_11 = e23 & ~ (all_22_1 =
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_9 = e22) & ~ (all_22_17 =
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_25 = e20)) | (all_22_5 = e21
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_21 = e23 & ~ (all_22_1 = e23) & ~
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_9 = e22) & ~ (all_22_17 = e21) & ~
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_25 = e20)) | (all_22_7 = e20 & all_22_31
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23 & ~ (all_22_1 = e23) & ~ (all_22_9 =
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_17 = e21) & ~ (all_22_25 =
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20))
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2129) gives:
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.10 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2130) all_22_3 = e22 & all_22_11 = e23 & ~ (all_22_1 =
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_9 = e22) & ~ (all_22_17 =
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_25 = e20)
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2130) implies:
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2131) all_22_11 = e23
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2120), (2131) imply:
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2132) e23 = e20
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1545), (2132) imply:
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2133) all_26_13 = e20
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10), (371), (544), (547), (783), (1550),
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1567), (2133) are inconsistent by sub-proof #44.
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2134) (all_22_5 = e21 & all_22_21 = e23 & ~ (all_22_1 =
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_9 = e22) & ~ (all_22_17 =
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_25 = e20)) | (all_22_7 = e20
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_31 = e23 & ~ (all_22_1 = e23) & ~
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_9 = e22) & ~ (all_22_17 = e21) & ~
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_25 = e20))
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (552), (1569), (2110), (2134) are
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #27.
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2135) (all_22_11 = e21 & all_22_19 = e22 & ~ (all_22_5
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_22_13 = e22) & ~ (all_22_21
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e21) & ~ (all_22_29 = e20)) | (all_22_11 =
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20 & all_22_27 = e22 & ~ (all_22_7 = e23) & ~
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e22) & ~ (all_22_23 = e21) & ~
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_31 = e20)) | (all_22_13 = e21 &
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_21 = e22 & ~ (all_22_3 = e23) & ~
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e22) & ~ (all_22_19 = e21) & ~
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_27 = e20)) | (all_22_15 = e20 &
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_31 = e22 & ~ (all_22_3 = e23) & ~
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e22) & ~ (all_22_19 = e21) & ~
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_27 = e20)) | (all_22_21 = e20 &
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_29 = e21 & ~ (all_22_7 = e23) & ~
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e22) & ~ (all_22_23 = e21) & ~
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_31 = e20)) | (all_22_23 = e20 &
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_31 = e21 & ~ (all_22_5 = e23) & ~
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_13 = e22) & ~ (all_22_21 = e21) & ~
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_29 = e20))
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2135) gives:
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2136) (all_22_11 = e21 & all_22_19 = e22 & ~ (all_22_5
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_22_13 = e22) & ~ (all_22_21
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e21) & ~ (all_22_29 = e20)) | (all_22_11 =
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20 & all_22_27 = e22 & ~ (all_22_7 = e23) & ~
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e22) & ~ (all_22_23 = e21) & ~
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_31 = e20)) | (all_22_13 = e21 &
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_21 = e22 & ~ (all_22_3 = e23) & ~
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e22) & ~ (all_22_19 = e21) & ~
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_27 = e20))
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2136) gives:
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2137) all_22_11 = e21 & all_22_19 = e22 & ~ (all_22_5 =
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_13 = e22) & ~ (all_22_21 =
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_29 = e20)
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2137) implies:
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2138) all_22_11 = e21
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2120), (2138) imply:
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2139) e21 = e20
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1609), (2139) imply:
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2140) $false
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2140) is inconsistent.
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2141) (all_22_11 = e20 & all_22_27 = e22 & ~ (all_22_7
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_22_15 = e22) & ~ (all_22_23
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e21) & ~ (all_22_31 = e20)) | (all_22_13 =
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21 & all_22_21 = e22 & ~ (all_22_3 = e23) & ~
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e22) & ~ (all_22_19 = e21) & ~
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_27 = e20))
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2141) gives:
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2142) all_22_11 = e20 & all_22_27 = e22 & ~ (all_22_7 =
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_15 = e22) & ~ (all_22_23 =
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_31 = e20)
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2142) implies:
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2143) all_22_27 = e22
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (2126), (2143) are inconsistent by sub-proof
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #26.
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2144) all_22_13 = e21 & all_22_21 = e22 & ~ (all_22_3 =
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_11 = e22) & ~ (all_22_19 =
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_27 = e20)
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2144) implies:
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2145) all_22_21 = e22
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2110), (2145) imply:
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2146) e22 = e21
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1608), (2146) imply:
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2147) $false
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2147) is inconsistent.
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2148) (all_22_15 = e20 & all_22_31 = e22 & ~ (all_22_3
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_22_11 = e22) & ~ (all_22_19
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e21) & ~ (all_22_27 = e20)) | (all_22_21 =
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20 & all_22_29 = e21 & ~ (all_22_7 = e23) & ~
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e22) & ~ (all_22_23 = e21) & ~
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_31 = e20)) | (all_22_23 = e20 &
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_31 = e21 & ~ (all_22_5 = e23) & ~
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_13 = e22) & ~ (all_22_21 = e21) & ~
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_29 = e20))
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2148) gives:
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2149) all_22_15 = e20 & all_22_31 = e22 & ~ (all_22_3 =
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_11 = e22) & ~ (all_22_19 =
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_27 = e20)
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2149) implies:
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2150) all_22_15 = e20
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1544), (2150) imply:
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2151) e23 = e20
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10), (371), (544), (547), (783), (1545),
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1550), (1567), (2151) are inconsistent by
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #43.
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2152) (all_22_21 = e20 & all_22_29 = e21 & ~ (all_22_7
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_22_15 = e22) & ~ (all_22_23
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e21) & ~ (all_22_31 = e20)) | (all_22_23 =
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20 & all_22_31 = e21 & ~ (all_22_5 = e23) & ~
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_13 = e22) & ~ (all_22_21 = e21) & ~
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_29 = e20))
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1609), (2110), (2152) are inconsistent by
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #25.
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2153) ~ (all_18_7 = e23)
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (733), (2153) imply:
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2154) ~ (all_14_13 = e23)
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2117) gives:
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2155) all_26_3 = e23
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2121), (2155) imply:
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2156) e23 = e20
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10), (371), (544), (547), (783), (1545),
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1550), (1567), (2156) are inconsistent by
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #43.
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2157) all_26_5 = e23 | all_26_10 = e23
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (570), (573), (2069), (2154), (2157) are
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #24.
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2158) ~ (all_18_5 = e20)
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (718), (2158) imply:
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2159) ~ (all_6_2 = e20)
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (384) gives:
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2160) all_26_1 = e20
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (589), (2160) imply:
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2161) all_14_4 = e20
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (801), (2161) imply:
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2162) $false
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2162) is inconsistent.
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2163) all_26_3 = e20 | all_26_7 = e20 | all_26_13 = e20
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2163) gives:
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2164) all_26_3 = e20
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (785), (2164) imply:
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2165) all_6_2 = e20
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2159), (2165) imply:
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2166) $false
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2166) is inconsistent.
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2167) all_26_7 = e20 | all_26_13 = e20
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2167) gives:
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2168) all_26_7 = e20
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (564), (2168) imply:
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2169) all_14_6 = e20
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (659), (2169) imply:
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2170) all_22_13 = e20
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (816), (2169) imply:
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2171) ~ (all_6_2 = e20)
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2111), (2169) imply:
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2172) ~ (e21 = e20)
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (385) gives:
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2173) all_26_1 = e21
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (589), (2173) imply:
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2174) all_14_4 = e21
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (386) gives:
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.11 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2175) all_26_1 = e22
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1608), (2173), (2175) are inconsistent by
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #23.
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2176) all_26_3 = e22 | all_26_7 = e22 | all_26_13 = e22
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2176) gives:
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2177) all_26_3 = e22
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (785), (2177) imply:
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2178) all_6_2 = e22
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2086), (2178) imply:
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2179) $false
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2179) is inconsistent.
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2180) all_26_7 = e22 | all_26_13 = e22
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2180) gives:
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2181) all_26_7 = e22
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10), (371), (544), (547), (783), (1550),
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1567), (1569), (2167), (2181) are inconsistent by
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #37.
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2182) all_26_13 = e22
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1545), (2182) imply:
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2183) e23 = e22
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (2183) imply:
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2184) $false
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2184) is inconsistent.
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2185) all_26_3 = e21 | all_26_7 = e21 | all_26_13 = e21
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (316) gives:
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2186) (all_22_1 = e22 & all_22_9 = e23 & ~ (all_22_3 =
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_11 = e22) & ~ (all_22_19 =
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_27 = e20)) | (all_22_1 = e21
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_17 = e23 & ~ (all_22_5 = e23) & ~
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_13 = e22) & ~ (all_22_21 = e21) & ~
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_29 = e20)) | (all_22_1 = e20 & all_22_25
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23 & ~ (all_22_7 = e23) & ~ (all_22_15 =
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_23 = e21) & ~ (all_22_31 =
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20)) | (all_22_3 = e22 & all_22_11 = e23 & ~
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_1 = e23) & ~ (all_22_9 = e22) & ~
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_17 = e21) & ~ (all_22_25 = e20)) |
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_5 = e21 & all_22_21 = e23 & ~ (all_22_1 =
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_9 = e22) & ~ (all_22_17 =
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_25 = e20)) | (all_22_7 = e20
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_31 = e23 & ~ (all_22_1 = e23) & ~
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_9 = e22) & ~ (all_22_17 = e21) & ~
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_25 = e20))
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2186) gives:
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2187) (all_22_1 = e22 & all_22_9 = e23 & ~ (all_22_3 =
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_11 = e22) & ~ (all_22_19 =
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_27 = e20)) | (all_22_1 = e21
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_17 = e23 & ~ (all_22_5 = e23) & ~
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_13 = e22) & ~ (all_22_21 = e21) & ~
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_29 = e20)) | (all_22_1 = e20 & all_22_25
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23 & ~ (all_22_7 = e23) & ~ (all_22_15 =
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_23 = e21) & ~ (all_22_31 =
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20))
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (645), (662), (1569), (1609), (2057), (2187) are
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #28.
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2188) (all_22_3 = e22 & all_22_11 = e23 & ~ (all_22_1 =
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_9 = e22) & ~ (all_22_17 =
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_25 = e20)) | (all_22_5 = e21
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_21 = e23 & ~ (all_22_1 = e23) & ~
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_9 = e22) & ~ (all_22_17 = e21) & ~
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_25 = e20)) | (all_22_7 = e20 & all_22_31
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23 & ~ (all_22_1 = e23) & ~ (all_22_9 =
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_17 = e21) & ~ (all_22_25 =
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20))
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2188) gives:
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2189) all_22_3 = e22 & all_22_11 = e23 & ~ (all_22_1 =
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_9 = e22) & ~ (all_22_17 =
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_25 = e20)
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2189) implies:
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2190) all_22_3 = e22
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1598), (2190) imply:
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2191) e22 = e21
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1608), (2191) imply:
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2192) $false
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2192) is inconsistent.
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2193) (all_22_5 = e21 & all_22_21 = e23 & ~ (all_22_1 =
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_9 = e22) & ~ (all_22_17 =
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_25 = e20)) | (all_22_7 = e20
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_31 = e23 & ~ (all_22_1 = e23) & ~
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_9 = e22) & ~ (all_22_17 = e21) & ~
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_25 = e20))
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (552), (1569), (2110), (2193) are
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #27.
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2194) (all_22_11 = e21 & all_22_19 = e22 & ~ (all_22_5
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_22_13 = e22) & ~ (all_22_21
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e21) & ~ (all_22_29 = e20)) | (all_22_11 =
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20 & all_22_27 = e22 & ~ (all_22_7 = e23) & ~
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e22) & ~ (all_22_23 = e21) & ~
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_31 = e20)) | (all_22_13 = e21 &
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_21 = e22 & ~ (all_22_3 = e23) & ~
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e22) & ~ (all_22_19 = e21) & ~
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_27 = e20)) | (all_22_15 = e20 &
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_31 = e22 & ~ (all_22_3 = e23) & ~
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e22) & ~ (all_22_19 = e21) & ~
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_27 = e20)) | (all_22_21 = e20 &
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_29 = e21 & ~ (all_22_7 = e23) & ~
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e22) & ~ (all_22_23 = e21) & ~
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_31 = e20)) | (all_22_23 = e20 &
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_31 = e21 & ~ (all_22_5 = e23) & ~
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_13 = e22) & ~ (all_22_21 = e21) & ~
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_29 = e20))
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2194) gives:
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2195) (all_22_11 = e21 & all_22_19 = e22 & ~ (all_22_5
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_22_13 = e22) & ~ (all_22_21
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e21) & ~ (all_22_29 = e20)) | (all_22_11 =
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20 & all_22_27 = e22 & ~ (all_22_7 = e23) & ~
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e22) & ~ (all_22_23 = e21) & ~
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_31 = e20)) | (all_22_13 = e21 &
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_21 = e22 & ~ (all_22_3 = e23) & ~
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e22) & ~ (all_22_19 = e21) & ~
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_27 = e20))
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2195) gives:
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2196) all_22_11 = e21 & all_22_19 = e22 & ~ (all_22_5 =
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_13 = e22) & ~ (all_22_21 =
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_29 = e20)
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2196) implies:
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2197) all_22_11 = e21
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (575), (2197) imply:
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2198) all_6_2 = e21
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2198) implies:
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2199) all_6_2 = e21
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1605), (2199) imply:
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2200) $false
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2200) is inconsistent.
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2201) (all_22_11 = e20 & all_22_27 = e22 & ~ (all_22_7
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_22_15 = e22) & ~ (all_22_23
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e21) & ~ (all_22_31 = e20)) | (all_22_13 =
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21 & all_22_21 = e22 & ~ (all_22_3 = e23) & ~
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e22) & ~ (all_22_19 = e21) & ~
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_27 = e20))
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2201) gives:
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2202) all_22_11 = e20 & all_22_27 = e22 & ~ (all_22_7 =
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_15 = e22) & ~ (all_22_23 =
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_31 = e20)
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2202) implies:
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2203) all_22_11 = e20
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (575), (2203) imply:
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2204) all_6_2 = e20
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2204) implies:
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2205) all_6_2 = e20
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2159), (2205) imply:
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2206) $false
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2206) is inconsistent.
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2207) all_22_13 = e21 & all_22_21 = e22 & ~ (all_22_3 =
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_11 = e22) & ~ (all_22_19 =
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_27 = e20)
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2207) implies:
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2208) all_22_13 = e21
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2170), (2208) imply:
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2209) e21 = e20
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1609), (2209) imply:
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2210) $false
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2210) is inconsistent.
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.12 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2211) (all_22_15 = e20 & all_22_31 = e22 & ~ (all_22_3
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_22_11 = e22) & ~ (all_22_19
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e21) & ~ (all_22_27 = e20)) | (all_22_21 =
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20 & all_22_29 = e21 & ~ (all_22_7 = e23) & ~
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e22) & ~ (all_22_23 = e21) & ~
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_31 = e20)) | (all_22_23 = e20 &
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_31 = e21 & ~ (all_22_5 = e23) & ~
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_13 = e22) & ~ (all_22_21 = e21) & ~
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_29 = e20))
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2211) gives:
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2212) all_22_15 = e20 & all_22_31 = e22 & ~ (all_22_3 =
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_11 = e22) & ~ (all_22_19 =
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_27 = e20)
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2212) implies:
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2213) all_22_15 = e20
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1544), (2213) imply:
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2214) e23 = e20
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2214) implies:
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2215) e23 = e20
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1545), (2215) imply:
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2216) all_26_13 = e20
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2185) gives:
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2217) all_26_3 = e21
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (785), (1605), (2217) are inconsistent by
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #33.
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2218) all_26_7 = e21 | all_26_13 = e21
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (564), (1609), (2111), (2216), (2218) are
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #22.
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2219) (all_22_21 = e20 & all_22_29 = e21 & ~ (all_22_7
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_22_15 = e22) & ~ (all_22_23
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e21) & ~ (all_22_31 = e20)) | (all_22_23 =
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20 & all_22_31 = e21 & ~ (all_22_5 = e23) & ~
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_13 = e22) & ~ (all_22_21 = e21) & ~
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_29 = e20))
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1609), (2110), (2219) are inconsistent by
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #25.
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2220) all_26_13 = e20
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10), (371), (544), (547), (783), (1550),
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1567), (2220) are inconsistent by sub-proof #44.
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2221) all_18_6 = e21
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (726), (2221) imply:
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2222) all_14_9 = e21
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1602), (2222) imply:
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2223) $false
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2223) is inconsistent.
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (2224) all_26_9 = e23
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (583), (2224) imply:
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (2225) all_14_12 = e23
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2057), (2225) imply:
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | (2226) $false
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2226) is inconsistent.
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.13 | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.13 | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | (2227) ~ (all_18_8 = e23)
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | (2228) all_18_8 = e22 | all_18_8 = e21 | all_18_8 = e20
% 57.72/9.13 | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | REDUCE: (714), (2227) imply:
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | (2229) ~ (all_14_2 = e23)
% 57.72/9.13 | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | BETA: splitting (389) gives:
% 57.72/9.13 | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | (2230) all_26_0 = e23
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (594), (2230) imply:
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | (2231) e23 = e20
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10), (371), (544), (547), (783), (1545),
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | (1550), (1567), (2231) are inconsistent by
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | sub-proof #43.
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | (2232) all_26_2 = e23 | all_26_6 = e23 | all_26_12 = e23
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | BETA: splitting (2228) gives:
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | (2233) all_18_8 = e20
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (714), (2233) imply:
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | (2234) all_14_2 = e20
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | REDUCE: (799), (2234) imply:
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | (2235) $false
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | CLOSE: (2235) is inconsistent.
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | (2236) ~ (all_18_8 = e20)
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | (2237) all_18_8 = e22 | all_18_8 = e21
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2237) gives:
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | (2238) all_18_8 = e22
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (714), (2238) imply:
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | (2239) all_14_2 = e22
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (808), (2239) imply:
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | (2240) $false
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2240) is inconsistent.
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | (2241) all_18_8 = e21
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (714), (2241) imply:
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | (2242) all_14_2 = e21
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (657), (2242) imply:
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | (2243) all_22_5 = e21
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (159), (2242) imply:
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | (2244) ~ (all_14_6 = e21)
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | SIMP: (2244) implies:
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | (2245) ~ (all_14_6 = e21)
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (809), (2242) imply:
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | (2246) ~ (all_4_2 = e21)
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | SIMP: (2246) implies:
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | (2247) ~ (all_4_2 = e21)
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (799), (2242) imply:
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | (2248) ~ (e21 = e20)
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (910), (2242) imply:
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | (2249) op2(e21, e21) = all_22_4
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | (2250) all_18_4 = e23
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (712), (2250) imply:
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | (2251) all_14_1 = e23
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (649), (2251) imply:
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | (2252) all_22_3 = e23
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (580), (2251) imply:
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | (2253) all_26_2 = e23
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (909), (2251) imply:
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | (2254) op2(e23, e22) = all_22_2
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (182), (2251) imply:
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | (2255) op2(e22, e23) = e23
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_4_2, all_22_4, e21,
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | e21, simplifying with (31), (2249) gives:
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | (2256) all_22_4 = all_4_2
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_14_4, all_22_2, e22,
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | e23, simplifying with (185), (2254) gives:
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | (2257) all_22_2 = all_14_4
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (320) gives:
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | (2258) all_22_0 = all_22_1
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (951), (2258) imply:
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | (2259) all_22_1 = e22
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (645), (1569), (2259) are inconsistent by
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #46.
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.13 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | (2260) ~ (all_22_0 = all_22_1)
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | (2261) all_22_2 = all_22_3 | all_22_4 = all_22_5 |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | all_22_6 = all_22_7
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2261) gives:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | (2262) all_22_2 = all_22_3
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1547), (2252), (2257), (2262) are inconsistent by
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #21.
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | (2263) all_22_4 = all_22_5 | all_22_6 = all_22_7
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2263) gives:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (2264) all_22_4 = all_22_5
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2243), (2247), (2256), (2264) are inconsistent by
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #20.
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (2265) all_22_6 = all_22_7
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (960), (2265) imply:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (2266) all_22_7 = all_14_13
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (552), (2266) imply:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (2267) all_14_13 = e22
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2267) implies:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (2268) all_14_13 = e22
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (570), (2268) imply:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (2269) all_26_10 = e22
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (2268) imply:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (2270) ~ (all_14_9 = e22)
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (2268) imply:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (2271) ~ (all_14_12 = e22)
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (822), (2268) imply:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (2272) ~ (all_6_2 = e22)
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2272) implies:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (2273) ~ (all_6_2 = e22)
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (833), (2268) imply:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | (2274) ~ (e22 = e21)
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2275) all_18_3 = e23
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (732), (2275) imply:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2276) all_14_12 = e23
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2276) implies:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2277) all_14_12 = e23
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (583), (2277) imply:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2278) all_26_9 = e23
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (137), (2277) imply:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2279) ~ (all_14_8 = e23)
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (381) gives:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2280) all_26_2 = e20
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2253), (2280) imply:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2281) e23 = e20
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1545), (2281) imply:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2282) all_26_13 = e20
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10), (371), (544), (547), (783), (1550),
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1567), (2282) are inconsistent by sub-proof #44.
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2283) all_26_3 = e20 | all_26_5 = e20 | all_26_10 = e20
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2283) gives:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2284) all_26_3 = e20
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (785), (2284) imply:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2285) all_6_2 = e20
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (816), (2285) imply:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2286) ~ (all_14_6 = e20)
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2287) all_18_9 = e23
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (721), (1548), (2287) are inconsistent by
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #19.
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2288) ~ (all_18_9 = e23)
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2289) all_18_9 = e22 | all_18_9 = e21 | all_18_9 = e20
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (382) gives:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2290) all_26_2 = e21
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10), (567), (783), (2229), (2232), (2290)
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #17.
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2291) ~ (all_26_2 = e21)
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2292) all_26_3 = e21 | all_26_5 = e21 | all_26_10 = e21
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (385) gives:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2293) all_26_1 = e21
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (589), (2293) imply:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2294) all_14_4 = e21
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2295) all_18_2 = e23
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (724), (2279), (2295) are inconsistent by
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #47.
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2296) all_18_2 = e22 | all_18_2 = e21 | all_18_2 = e20
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2292) gives:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2297) all_26_3 = e21
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2284), (2297) imply:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2298) e21 = e20
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2298) implies:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2299) e21 = e20
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2248), (2299) imply:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2300) $false
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2300) is inconsistent.
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2301) all_26_5 = e21 | all_26_10 = e21
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2301) gives:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2302) all_26_5 = e21
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (573), (2302) imply:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2303) all_14_9 = e21
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (655), (2303) imply:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2304) all_22_19 = e21
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (140), (2303) imply:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2305) ~ (all_14_8 = e21)
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2270), (2303) imply:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2306) ~ (e22 = e21)
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (917), (2303) imply:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2307) op2(e21, e22) = all_22_18
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (386) gives:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2308) all_26_1 = e22
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2274), (2293), (2308) are inconsistent by
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #23.
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2309) ~ (all_26_1 = e22)
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2310) all_26_3 = e22 | all_26_7 = e22 | all_26_13 = e22
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2289) gives:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2311) all_18_9 = e20
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (721), (2311) imply:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2312) all_14_6 = e20
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2286), (2312) imply:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2313) $false
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2313) is inconsistent.
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2314) all_18_9 = e22 | all_18_9 = e21
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2314) gives:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2315) all_18_9 = e22
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (721), (2315) imply:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2316) all_14_6 = e22
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (564), (2316) imply:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2317) all_26_7 = e22
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (823), (2316) imply:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2318) ~ (all_4_2 = e22)
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2318) implies:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2319) ~ (all_4_2 = e22)
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (177), (2316) imply:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2320) op2(e21, e22) = e22
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2321) all_18_10 = e23
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (728), (2321) imply:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2322) all_4_2 = e23
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2322) implies:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2323) all_4_2 = e23
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (661), (2323) imply:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2324) all_22_21 = e23
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (32), (2323) imply:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2325) op2(e23, e21) = all_4_0
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (379) gives:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2326) all_26_4 = e22
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (784), (2326) imply:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2327) all_14_8 = e22
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (584), (2327) imply:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2328) all_22_17 = e22
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2279), (2327) imply:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2329) ~ (e23 = e22)
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (916), (2327) imply:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2330) op2(e22, e23) = all_22_16
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (184), (2327) imply:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2331) op2(e23, e21) = e22
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with e22, all_22_18, e22, e21,
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2307), (2320) gives:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2332) all_22_18 = e22
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with e23, all_22_16, e23, e22,
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2255), (2330) gives:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2333) all_22_16 = e23
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with e22, all_4_0, e21, e23,
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2325), (2331) gives:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2334) all_4_0 = e22
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (982), (2334) imply:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2335) all_22_20 = e22
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (318) gives:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2336) all_22_16 = all_22_17
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2333), (2336) imply:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2337) all_22_17 = e23
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2328), (2337) imply:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2338) e23 = e22
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2338) implies:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2339) e23 = e22
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (2339) imply:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2340) $false
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2340) is inconsistent.
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2341) ~ (all_22_16 = all_22_17)
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2342) all_22_18 = all_22_19 | all_22_20 = all_22_21 |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_22 = all_22_23
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2342) gives:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2343) all_22_18 = all_22_19
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2332), (2343) imply:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2344) all_22_19 = e22
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2304), (2344) imply:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2345) e22 = e21
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2345) implies:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2346) e22 = e21
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2317), (2346) imply:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2347) all_26_7 = e21
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (1545), (1569), (2274), (2284), (2310),
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2347) are inconsistent by sub-proof #31.
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2348) all_22_20 = all_22_21 | all_22_22 = all_22_23
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2348) gives:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2349) all_22_20 = all_22_21
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.14 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2335), (2349) imply:
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2350) all_22_21 = e22
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2324), (2350) imply:
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2351) e23 = e22
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (2351) imply:
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2352) $false
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2352) is inconsistent.
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2353) all_22_22 = all_22_23
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1560), (1571), (2248), (2353) are inconsistent by
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #32.
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2354) ~ (all_26_4 = e22)
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (784), (2354) imply:
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2355) ~ (all_14_8 = e22)
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (724), (803), (2296), (2305), (2355) are
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #30.
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2356) all_18_10 = e22 | all_18_10 = e21 | all_18_10 =
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2356) gives:
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2357) all_18_10 = e20
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (728), (1565), (2357) are inconsistent by
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #16.
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2358) all_18_10 = e22 | all_18_10 = e21
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2358) gives:
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2359) all_18_10 = e22
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (728), (2359) imply:
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2360) all_4_2 = e22
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2360) implies:
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2361) all_4_2 = e22
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2319), (2361) imply:
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2362) $false
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2362) is inconsistent.
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2363) all_18_10 = e21
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (728), (2247), (2363) are inconsistent by
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #15.
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2364) all_18_9 = e21
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (721), (2364) imply:
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2365) all_14_6 = e21
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (564), (2365) imply:
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2366) all_26_7 = e21
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (1545), (1569), (2274), (2284), (2310),
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2366) are inconsistent by sub-proof #31.
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2367) all_26_10 = e21
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2269), (2367) imply:
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2368) e22 = e21
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2368) implies:
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2369) e22 = e21
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2274), (2369) imply:
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2370) $false
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2370) is inconsistent.
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2371) ~ (all_26_1 = e21)
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (589), (2371) imply:
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2372) ~ (all_14_4 = e21)
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2289) gives:
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2373) all_18_9 = e20
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (721), (2373) imply:
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2374) all_14_6 = e20
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2286), (2374) imply:
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2375) $false
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2375) is inconsistent.
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2376) ~ (all_18_9 = e20)
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2377) all_18_9 = e22 | all_18_9 = e21
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2377) gives:
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2378) all_18_9 = e22
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (721), (2378) imply:
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2379) all_14_6 = e22
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (153), (2379) imply:
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2380) ~ (all_14_4 = e22)
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1548), (2379) imply:
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2381) ~ (e23 = e22)
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (388) gives:
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2382) all_26_0 = e22
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (594), (2382) imply:
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2383) e22 = e20
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2383) implies:
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2384) e22 = e20
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1569), (2384) imply:
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2385) $false
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2385) is inconsistent.
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2386) all_26_1 = e22 | all_26_4 = e22 | all_26_9 = e22
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2386) gives:
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2387) all_26_1 = e22
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (589), (2387) imply:
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2388) all_14_4 = e22
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2380), (2388) imply:
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2389) $false
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2389) is inconsistent.
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2390) all_26_4 = e22 | all_26_9 = e22
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2390) gives:
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2391) all_26_4 = e22
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (784), (2391) imply:
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2392) all_14_8 = e22
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (387) gives:
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2393) all_26_0 = e21
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (594), (2393) imply:
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2394) e21 = e20
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2394) implies:
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2395) e21 = e20
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2248), (2395) imply:
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2396) $false
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2396) is inconsistent.
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2397) all_26_1 = e21 | all_26_4 = e21 | all_26_9 = e21
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2397) gives:
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2398) all_26_1 = e21
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (589), (2398) imply:
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2399) all_14_4 = e21
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2372), (2399) imply:
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2400) $false
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2400) is inconsistent.
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2401) all_26_4 = e21 | all_26_9 = e21
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2401) gives:
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2402) all_26_4 = e21
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2391), (2402) imply:
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2403) e22 = e21
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2274), (2403) imply:
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2404) $false
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2404) is inconsistent.
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2405) all_26_9 = e21
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2278), (2405) imply:
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2406) e23 = e21
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2253), (2406) imply:
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2407) all_26_2 = e21
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10), (567), (783), (2229), (2232), (2407)
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #17.
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2408) all_26_9 = e22
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2278), (2408) imply:
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2409) e23 = e22
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (2409) imply:
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2410) $false
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2410) is inconsistent.
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2411) all_18_9 = e21
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (721), (2411) imply:
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2412) all_14_6 = e21
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2245), (2412) imply:
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2413) $false
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2413) is inconsistent.
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.15 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2414) all_26_5 = e20 | all_26_10 = e20
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2414) gives:
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2415) all_26_5 = e20
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (573), (2415) imply:
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2416) all_14_9 = e20
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1563), (2416) imply:
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2417) $false
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2417) is inconsistent.
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2418) all_26_10 = e20
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (1569), (2269), (2418) are inconsistent by
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #36.
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2419) all_18_3 = e22 | all_18_3 = e21 | all_18_3 = e20
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2419) gives:
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2420) all_18_3 = e20
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (732), (2420) imply:
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2421) all_14_12 = e20
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (805), (2421) imply:
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2422) $false
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2422) is inconsistent.
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2423) all_18_3 = e22 | all_18_3 = e21
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2423) gives:
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2424) all_18_3 = e22
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (732), (2424) imply:
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2425) all_14_12 = e22
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2271), (2425) imply:
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2426) $false
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2426) is inconsistent.
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2427) all_18_3 = e21
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (732), (2427) imply:
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2428) all_14_12 = e21
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (832), (2428) imply:
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2429) $false
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2429) is inconsistent.
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | (2430) ~ (all_18_4 = e23)
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (712), (2430) imply:
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | (2431) ~ (all_14_1 = e23)
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2232) gives:
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | (2432) all_26_2 = e23
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (580), (2432) imply:
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | (2433) all_14_1 = e23
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2431), (2433) imply:
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | (2434) $false
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2434) is inconsistent.
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | (2435) all_26_6 = e23 | all_26_12 = e23
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (567), (783), (2229), (2435) are
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #18.
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.16 | | | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.16 | | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.16 | | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | | (2436) all_18_14 = e22 | all_18_14 = e21
% 57.72/9.16 | | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | | BETA: splitting (2436) gives:
% 57.72/9.16 | | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.16 | | | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | (2437) all_18_14 = e22
% 57.72/9.16 | | | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (730), (2437) imply:
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | (2438) all_14_11 = e22
% 57.72/9.16 | | | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | REDUCE: (813), (2438) imply:
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | (2439) $false
% 57.72/9.16 | | | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | CLOSE: (2439) is inconsistent.
% 57.72/9.16 | | | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.16 | | | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | (2440) all_18_14 = e21
% 57.72/9.16 | | | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (730), (2440) imply:
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | (2441) all_14_11 = e21
% 57.72/9.16 | | | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | REDUCE: (831), (2441) imply:
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | (2442) $false
% 57.72/9.16 | | | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | CLOSE: (2442) is inconsistent.
% 57.72/9.16 | | | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.16 | | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | End of split
% 57.72/9.16 | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | End of split
% 57.72/9.16 | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | Case 2:
% 57.72/9.16 | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | (2443) ~ (all_18_13 = e23)
% 57.72/9.16 | | | | | | | | | | | | | | | | (2444) all_18_13 = e22 | all_18_13 = e21 | all_18_13 =
% 57.72/9.16 | | | | | | | | | | | | | | | | e20
% 57.72/9.16 | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | REDUCE: (723), (2443) imply:
% 57.72/9.16 | | | | | | | | | | | | | | | | (2445) ~ (all_14_7 = e23)
% 57.72/9.16 | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | BETA: splitting (2444) gives:
% 57.72/9.16 | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.16 | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | (2446) all_18_13 = e20
% 57.72/9.16 | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | COMBINE_EQS: (723), (2446) imply:
% 57.72/9.16 | | | | | | | | | | | | | | | | | (2447) all_14_7 = e20
% 57.72/9.16 | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | COMBINE_EQS: (671), (2447) imply:
% 57.72/9.16 | | | | | | | | | | | | | | | | | (2448) all_22_15 = e20
% 57.72/9.16 | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | COMBINE_EQS: (550), (2447) imply:
% 57.72/9.16 | | | | | | | | | | | | | | | | | (2449) all_26_13 = e20
% 57.72/9.16 | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | REDUCE: (145), (2447) imply:
% 57.72/9.16 | | | | | | | | | | | | | | | | | (2450) ~ (all_14_6 = e20)
% 57.72/9.16 | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | REDUCE: (142), (2447) imply:
% 57.72/9.16 | | | | | | | | | | | | | | | | | (2451) ~ (all_14_11 = e20)
% 57.72/9.16 | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | SIMP: (2451) implies:
% 57.72/9.16 | | | | | | | | | | | | | | | | | (2452) ~ (all_14_11 = e20)
% 57.72/9.16 | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | REDUCE: (818), (2447) imply:
% 57.72/9.16 | | | | | | | | | | | | | | | | | (2453) ~ (all_6_2 = e20)
% 57.72/9.16 | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | SIMP: (2453) implies:
% 57.72/9.16 | | | | | | | | | | | | | | | | | (2454) ~ (all_6_2 = e20)
% 57.72/9.16 | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | REDUCE: (2445), (2447) imply:
% 57.72/9.16 | | | | | | | | | | | | | | | | | (2455) ~ (e23 = e20)
% 57.72/9.16 | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | SIMP: (2455) implies:
% 57.72/9.16 | | | | | | | | | | | | | | | | | (2456) ~ (e23 = e20)
% 57.72/9.16 | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | REDUCE: (811), (2447) imply:
% 57.72/9.16 | | | | | | | | | | | | | | | | | (2457) ~ (e22 = e20)
% 57.72/9.16 | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | SIMP: (2457) implies:
% 57.72/9.16 | | | | | | | | | | | | | | | | | (2458) ~ (e22 = e20)
% 57.72/9.16 | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | REDUCE: (915), (2447) imply:
% 57.72/9.16 | | | | | | | | | | | | | | | | | (2459) op2(e20, e20) = all_22_14
% 57.72/9.16 | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | BETA: splitting (232) gives:
% 57.72/9.16 | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.16 | | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | | (2460) all_18_14 = e23
% 57.72/9.16 | | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (730), (2460) imply:
% 57.72/9.16 | | | | | | | | | | | | | | | | | | (2461) all_14_11 = e23
% 57.72/9.16 | | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (673), (2461) imply:
% 57.72/9.16 | | | | | | | | | | | | | | | | | | (2462) all_22_23 = e23
% 57.72/9.16 | | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (547), (2461) imply:
% 57.72/9.16 | | | | | | | | | | | | | | | | | | (2463) all_26_14 = e23
% 57.72/9.16 | | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | | REDUCE: (138), (2461) imply:
% 57.72/9.16 | | | | | | | | | | | | | | | | | | (2464) ~ (all_14_8 = e23)
% 57.72/9.16 | | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | | REDUCE: (135), (2461) imply:
% 57.72/9.16 | | | | | | | | | | | | | | | | | | (2465) ~ (all_14_9 = e23)
% 57.72/9.16 | | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | | REDUCE: (828), (2461) imply:
% 57.72/9.16 | | | | | | | | | | | | | | | | | | (2466) ~ (all_4_2 = e23)
% 57.72/9.16 | | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | | SIMP: (2466) implies:
% 57.72/9.16 | | | | | | | | | | | | | | | | | | (2467) ~ (all_4_2 = e23)
% 57.72/9.16 | | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | | REDUCE: (172), (2461) imply:
% 57.72/9.16 | | | | | | | | | | | | | | | | | | (2468) op2(e20, e21) = e23
% 57.72/9.16 | | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with e21, all_22_14, e20, e20,
% 57.72/9.16 | | | | | | | | | | | | | | | | | | simplifying with (16), (2459) gives:
% 57.72/9.16 | | | | | | | | | | | | | | | | | | (2469) all_22_14 = e21
% 57.72/9.16 | | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | | BETA: splitting (241) gives:
% 57.72/9.16 | | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.16 | | | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | (2470) all_18_4 = e23
% 57.72/9.16 | | | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (712), (2470) imply:
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | (2471) all_14_1 = e23
% 57.72/9.16 | | | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | SIMP: (2471) implies:
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | (2472) all_14_1 = e23
% 57.72/9.16 | | | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (649), (2472) imply:
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | (2473) all_22_3 = e23
% 57.72/9.16 | | | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | REDUCE: (165), (2472) imply:
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | (2474) ~ (all_14_2 = e23)
% 57.72/9.16 | | | | | | | | | | | | | | | | | | |
% 57.72/9.16 | | | | | | | | | | | | | | | | | | | SIMP: (2474) implies:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | (2475) ~ (all_14_2 = e23)
% 57.72/9.17 | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | REDUCE: (162), (2472) imply:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | (2476) ~ (all_14_9 = e23)
% 57.72/9.17 | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | REDUCE: (909), (2472) imply:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | (2477) op2(e23, e22) = all_22_2
% 57.72/9.17 | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | (2478) all_18_8 = e23
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (714), (2478) imply:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | (2479) all_14_2 = e23
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | REDUCE: (2475), (2479) imply:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | (2480) $false
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | CLOSE: (2480) is inconsistent.
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | (2481) ~ (all_18_8 = e23)
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | (2482) all_18_8 = e22 | all_18_8 = e21 | all_18_8 = e20
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | BETA: splitting (2482) gives:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | (2483) all_18_8 = e20
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (714), (2483) imply:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | (2484) all_14_2 = e20
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | REDUCE: (799), (2484) imply:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | (2485) $false
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | CLOSE: (2485) is inconsistent.
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | (2486) ~ (all_18_8 = e20)
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | (2487) all_18_8 = e22 | all_18_8 = e21
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2487) gives:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | (2488) all_18_8 = e22
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (714), (2488) imply:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | (2489) all_14_2 = e22
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (808), (2489) imply:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | (2490) $false
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2490) is inconsistent.
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | (2491) all_18_8 = e21
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (714), (2491) imply:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | (2492) all_14_2 = e21
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (657), (2492) imply:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | (2493) all_22_5 = e21
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (567), (2492) imply:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | (2494) all_26_6 = e21
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (159), (2492) imply:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | (2495) ~ (all_14_6 = e21)
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | SIMP: (2495) implies:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | (2496) ~ (all_14_6 = e21)
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (997), (2492) imply:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | (2497) ~ (all_10_0 = e21)
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (809), (2492) imply:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | (2498) ~ (all_4_2 = e21)
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | SIMP: (2498) implies:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | (2499) ~ (all_4_2 = e21)
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2475), (2492) imply:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | (2500) ~ (e23 = e21)
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (799), (2492) imply:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | (2501) ~ (e21 = e20)
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (910), (2492) imply:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | (2502) op2(e21, e21) = all_22_4
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_4_2, all_22_4, e21,
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | e21, simplifying with (31), (2502) gives:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | (2503) all_22_4 = all_4_2
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_14_4, all_22_2, e22,
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | e23, simplifying with (185), (2477) gives:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | (2504) all_22_2 = all_14_4
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | (2505) all_18_3 = e23
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (732), (2505) imply:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | (2506) all_14_12 = e23
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2506) implies:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | (2507) all_14_12 = e23
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (662), (2507) imply:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | (2508) all_22_25 = e23
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (583), (2507) imply:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | (2509) all_26_9 = e23
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (150), (2507) imply:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | (2510) ~ (all_14_4 = e23)
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (2507) imply:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | (2511) ~ (all_14_13 = e23)
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2511) implies:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | (2512) ~ (all_14_13 = e23)
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (920), (2507) imply:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | (2513) op2(e23, e23) = all_22_24
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (376) gives:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | (2514) all_26_6 = e23
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2494), (2514) imply:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | (2515) e23 = e21
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (2515) imply:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | (2516) $false
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2516) is inconsistent.
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | (2517) ~ (all_26_6 = e23)
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | (2518) all_26_7 = e23 | all_26_8 = e23 | all_26_11 = e23
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (320) gives:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | (2519) all_22_0 = all_22_1
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (951), (2519) imply:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | (2520) all_22_1 = e22
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (645), (2458), (2520) are inconsistent by
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #46.
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | (2521) all_22_2 = all_22_3 | all_22_4 = all_22_5 |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | all_22_6 = all_22_7
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2521) gives:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (2522) all_22_2 = all_22_3
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2473), (2504), (2510), (2522) are inconsistent by
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #21.
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | (2523) all_22_4 = all_22_5 | all_22_6 = all_22_7
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2523) gives:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2524) all_22_4 = all_22_5
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2493), (2499), (2503), (2524) are inconsistent by
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #20.
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2525) all_22_6 = all_22_7
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2526) ~ (all_22_4 = all_22_5)
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (960), (2525) imply:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2527) all_22_7 = all_14_13
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (552), (2527) imply:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2528) all_14_13 = e22
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2528) implies:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2529) all_14_13 = e22
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (664), (2529) imply:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2530) all_22_27 = e22
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (570), (2529) imply:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2531) all_26_10 = e22
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (2529) imply:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2532) ~ (all_14_9 = e22)
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1000), (2529) imply:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2533) ~ (all_10_0 = e22)
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2533) implies:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2534) ~ (all_10_0 = e22)
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2512), (2529) imply:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2535) ~ (e23 = e22)
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (833), (2529) imply:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2536) ~ (e22 = e21)
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (921), (2529) imply:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2537) op2(e22, e22) = all_22_26
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2518) gives:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2538) all_26_7 = e23
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (564), (2538) imply:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2539) all_14_6 = e23
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2539) implies:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2540) all_14_6 = e23
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (998), (2540) imply:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2541) ~ (all_10_0 = e23)
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2541) implies:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2542) ~ (all_10_0 = e23)
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (386) gives:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2543) all_26_1 = e22
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (385) gives:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2544) all_26_1 = e21
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2536), (2543), (2544) are inconsistent by
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #23.
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2545) all_26_3 = e21 | all_26_7 = e21 | all_26_13 = e21
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2545) gives:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2546) all_26_3 = e21
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (785), (2546) imply:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2547) all_6_2 = e21
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2547) implies:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2548) all_6_2 = e21
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (820), (2548) imply:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2549) ~ (all_14_9 = e21)
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (37), (2548) imply:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2550) op2(e22, e22) = e21
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2551) all_18_6 = e23
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (726), (2551) imply:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2552) all_14_9 = e23
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2552) implies:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2553) all_14_9 = e23
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2465), (2553) imply:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2554) $false
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2554) is inconsistent.
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2555) ~ (all_18_6 = e23)
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2556) all_18_6 = e22 | all_18_6 = e21 | all_18_6 = e20
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2556) gives:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2557) all_18_6 = e20
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (726), (2557) imply:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2558) all_14_9 = e20
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2558) implies:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2559) all_14_9 = e20
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (826), (2559) imply:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2560) ~ (all_4_2 = e20)
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2560) implies:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2561) ~ (all_4_2 = e20)
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2549), (2559) imply:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2562) ~ (e21 = e20)
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (235) gives:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2563) all_18_10 = e23
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (728), (2563) imply:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2564) all_4_2 = e23
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2564) implies:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2565) all_4_2 = e23
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2467), (2565) imply:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2566) $false
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2566) is inconsistent.
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2567) all_18_10 = e22 | all_18_10 = e21 | all_18_10 =
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2567) gives:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2568) all_18_10 = e20
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (728), (2561), (2568) are inconsistent by
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #16.
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2569) ~ (all_18_10 = e20)
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2570) all_18_10 = e22 | all_18_10 = e21
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (370) gives:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2571) all_26_15 = e20
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (544), (2501), (2571) are inconsistent by
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #45.
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.17 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2572) (all_26_9 = e20 | all_26_10 = e20 | all_26_11 =
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20) & (all_26_12 = e20 | all_26_13 = e20 |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_14 = e20)
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2572) implies:
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2573) all_26_9 = e20 | all_26_10 = e20 | all_26_11 = e20
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2570) gives:
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2574) all_18_10 = e22
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (728), (2574) imply:
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2575) all_4_2 = e22
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2575) implies:
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2576) all_4_2 = e22
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (33), (2576) imply:
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2577) op2(e22, e22) = all_4_1
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2573) gives:
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2578) all_26_9 = e20
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2509), (2578) imply:
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2579) e23 = e20
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2579) implies:
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2580) e23 = e20
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2456), (2580) imply:
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2581) $false
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2581) is inconsistent.
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2582) all_26_10 = e20 | all_26_11 = e20
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2582) gives:
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2583) all_26_10 = e20
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2458), (2531), (2583) are inconsistent by
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #36.
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2584) all_26_11 = e20
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (991), (2584) imply:
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2585) all_10_0 = e20
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2585) implies:
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2586) all_10_0 = e20
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (985), (2586) imply:
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2587) all_22_30 = e20
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (990), (2586) imply:
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2588) all_22_29 = e20
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1005), (2586) imply:
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2589) op2(e20, e21) = all_22_28
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with e23, all_22_28, e21, e20,
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2468), (2589) gives:
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2590) all_22_28 = e23
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_4_1, all_22_26, e22,
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22, simplifying with (2537), (2577) gives:
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2591) all_22_26 = all_4_1
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with e21, all_22_26, e22, e22,
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2537), (2550) gives:
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2592) all_22_26 = e21
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with e20, all_22_24, e23, e23,
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (18), (2513) gives:
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2593) all_22_24 = e20
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2591), (2592) imply:
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2594) all_4_1 = e21
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (317) gives:
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2595) all_22_24 = all_22_25
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2456), (2508), (2593), (2595) are inconsistent by
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #14.
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2596) ~ (all_22_24 = all_22_25)
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2597) all_22_26 = all_22_27 | all_22_28 = all_22_29 |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_30 = all_22_31
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2597) gives:
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2598) all_22_26 = all_22_27
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2592), (2598) imply:
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2599) all_22_27 = e21
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2530), (2599) imply:
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2600) e22 = e21
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2536), (2600) imply:
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2601) $false
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2601) is inconsistent.
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2602) all_22_28 = all_22_29 | all_22_30 = all_22_31
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (781), (2456), (2501), (2587), (2588), (2590),
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2602) are inconsistent by sub-proof #13.
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2603) all_18_10 = e21
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (728), (2499), (2603) are inconsistent by
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #15.
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2604) all_18_6 = e22 | all_18_6 = e21
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2604) gives:
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2605) all_18_6 = e22
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (726), (2605) imply:
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2606) all_14_9 = e22
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2606) implies:
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2607) all_14_9 = e22
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2532), (2607) imply:
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2608) $false
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2608) is inconsistent.
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2609) all_18_6 = e21
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (726), (2609) imply:
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2610) all_14_9 = e21
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2610) implies:
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2611) all_14_9 = e21
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2549), (2611) imply:
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2612) $false
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2612) is inconsistent.
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2613) all_26_7 = e21 | all_26_13 = e21
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (564), (2449), (2496), (2501), (2613) are
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #22.
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2614) ~ (all_26_1 = e22)
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (589), (2614) imply:
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2615) ~ (all_14_4 = e22)
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2616) all_18_1 = e23
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (717), (2616) imply:
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2617) all_14_4 = e23
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2617) implies:
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2618) all_14_4 = e23
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2510), (2618) imply:
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2619) $false
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2619) is inconsistent.
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2620) all_18_1 = e22 | all_18_1 = e21 | all_18_1 = e20
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (375) gives:
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2621) all_26_6 = e22
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2494), (2621) imply:
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2622) e22 = e21
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2536), (2622) imply:
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2623) $false
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2623) is inconsistent.
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2624) all_26_7 = e22 | all_26_8 = e22 | all_26_11 = e22
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2624) gives:
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2625) all_26_7 = e22
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2538), (2625) imply:
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2626) e23 = e22
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2626) implies:
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2627) e23 = e22
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (2627) imply:
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2628) $false
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2628) is inconsistent.
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2629) all_26_8 = e22 | all_26_11 = e22
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2629) gives:
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2630) all_26_8 = e22
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (561), (2630) imply:
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2631) all_4_2 = e22
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2631) implies:
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2632) all_4_2 = e22
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (825), (2632) imply:
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2633) ~ (all_14_8 = e22)
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2620) gives:
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2634) all_18_1 = e20
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (717), (2634) imply:
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2635) all_14_4 = e20
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2635) implies:
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2636) all_14_4 = e20
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (801), (2636) imply:
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2637) $false
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2637) is inconsistent.
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2638) all_18_1 = e22 | all_18_1 = e21
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (243) gives:
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2639) all_18_2 = e23
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (724), (2639) imply:
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2640) all_14_8 = e23
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2464), (2640) imply:
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2641) $false
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2641) is inconsistent.
% 57.72/9.18 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2642) all_18_2 = e22 | all_18_2 = e21 | all_18_2 = e20
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2638) gives:
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2643) all_18_1 = e22
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (717), (2643) imply:
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2644) all_14_4 = e22
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2644) implies:
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2645) all_14_4 = e22
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2615), (2645) imply:
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2646) $false
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2646) is inconsistent.
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2647) all_18_1 = e21
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (717), (2647) imply:
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2648) all_14_4 = e21
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2648) implies:
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2649) all_14_4 = e21
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (151), (2649) imply:
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2650) ~ (all_14_8 = e21)
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2650) implies:
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2651) ~ (all_14_8 = e21)
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (724), (803), (2633), (2642), (2651) are
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #30.
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2652) all_26_11 = e22
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (991), (2652) imply:
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2653) all_10_0 = e22
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2653) implies:
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2654) all_10_0 = e22
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2534), (2654) imply:
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2655) $false
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2655) is inconsistent.
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2656) ~ (all_26_7 = e23)
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (564), (2656) imply:
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2657) ~ (all_14_6 = e23)
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (236), (316), (376), (552), (561), (564),
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (575), (645), (659), (661), (662), (721), (781),
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (990), (991), (998), (999), (1001), (1002),
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2450), (2454), (2456), (2462), (2467), (2473),
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2494), (2496), (2501), (2657) are inconsistent by
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #6.
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | (2658) ~ (all_18_3 = e23)
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (732), (2658) imply:
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | (2659) ~ (all_14_12 = e23)
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (390) gives:
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | (2660) all_26_0 = e23
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (594), (2456), (2660) are inconsistent by
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #5.
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | (2661) all_26_1 = e23 | all_26_4 = e23 | all_26_9 = e23
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2661) gives:
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | (2662) all_26_1 = e23
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (589), (2662) imply:
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | (2663) all_14_4 = e23
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (153), (2663) imply:
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | (2664) ~ (all_14_6 = e23)
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2664) implies:
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | (2665) ~ (all_14_6 = e23)
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (236), (316), (376), (552), (561), (564),
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | (575), (645), (659), (661), (662), (721), (781),
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | (990), (991), (998), (999), (1001), (1002),
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | (2450), (2454), (2456), (2462), (2467), (2473),
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | (2494), (2496), (2501), (2665) are inconsistent by
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #6.
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | (2666) all_26_4 = e23 | all_26_9 = e23
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (583), (784), (2464), (2659), (2666) are
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #4.
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.19 | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.19 | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | (2667) ~ (all_18_4 = e23)
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | (2668) all_18_4 = e22 | all_18_4 = e21 | all_18_4 = e20
% 57.72/9.19 | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | REDUCE: (712), (2667) imply:
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | (2669) ~ (all_14_1 = e23)
% 57.72/9.19 | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | BETA: splitting (389) gives:
% 57.72/9.19 | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | (2670) all_26_0 = e23
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (594), (2456), (2670) are inconsistent by
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | sub-proof #5.
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | (2671) all_26_2 = e23 | all_26_6 = e23 | all_26_12 = e23
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | BETA: splitting (2668) gives:
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | (2672) all_18_4 = e20
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (712), (2672) imply:
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | (2673) all_14_1 = e20
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | SIMP: (2673) implies:
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | (2674) all_14_1 = e20
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | REDUCE: (797), (2674) imply:
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | (2675) $false
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | CLOSE: (2675) is inconsistent.
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | (2676) ~ (all_18_4 = e20)
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | (2677) all_18_4 = e22 | all_18_4 = e21
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2677) gives:
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | (2678) all_18_4 = e22
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (712), (2678) imply:
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | (2679) all_14_1 = e22
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | SIMP: (2679) implies:
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | (2680) all_14_1 = e22
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (806), (2680) imply:
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | (2681) $false
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2681) is inconsistent.
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | (2682) all_18_4 = e21
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (712), (2682) imply:
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | (2683) all_14_1 = e21
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | SIMP: (2683) implies:
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | (2684) all_14_1 = e21
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (649), (2684) imply:
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | (2685) all_22_3 = e21
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (580), (2684) imply:
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | (2686) all_26_2 = e21
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (165), (2684) imply:
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | (2687) ~ (all_14_2 = e21)
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | SIMP: (2687) implies:
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | (2688) ~ (all_14_2 = e21)
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (161), (2684) imply:
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | (2689) ~ (all_14_13 = e21)
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (807), (2684) imply:
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | (2690) ~ (all_6_2 = e21)
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | SIMP: (2690) implies:
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | (2691) ~ (all_6_2 = e21)
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2669), (2684) imply:
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | (2692) ~ (e23 = e21)
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (797), (2684) imply:
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | (2693) ~ (e21 = e20)
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (909), (2684) imply:
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | (2694) op2(e21, e22) = all_22_2
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (182), (2684) imply:
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | (2695) op2(e22, e23) = e21
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (237) gives:
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.19 | | | | | | | | | | | | | | | | | | | | | | | (2696) all_18_8 = e23
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (714), (2696) imply:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | (2697) all_14_2 = e23
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (657), (2697) imply:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | (2698) all_22_5 = e23
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (567), (2697) imply:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | (2699) all_26_6 = e23
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (997), (2697) imply:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | (2700) ~ (all_10_0 = e23)
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2700) implies:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | (2701) ~ (all_10_0 = e23)
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_14_6, all_22_2, e22,
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | e21, simplifying with (177), (2694) gives:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | (2702) all_22_2 = all_14_6
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (242) gives:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | (2703) all_18_3 = e23
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (732), (2703) imply:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | (2704) all_14_12 = e23
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2704) implies:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | (2705) all_14_12 = e23
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (662), (2705) imply:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | (2706) all_22_25 = e23
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (130), (2705) imply:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | (2707) ~ (all_14_13 = e23)
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2707) implies:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | (2708) ~ (all_14_13 = e23)
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (920), (2705) imply:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | (2709) op2(e23, e23) = all_22_24
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (383) gives:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | (2710) all_26_2 = e23
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2686), (2710) imply:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | (2711) e23 = e21
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (2711) imply:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | (2712) $false
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2712) is inconsistent.
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | (2713) all_26_3 = e23 | all_26_5 = e23 | all_26_10 = e23
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2713) gives:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (2714) all_26_3 = e23
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (785), (2714) imply:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (2715) all_6_2 = e23
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2715) implies:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (2716) all_6_2 = e23
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (575), (2716) imply:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (2717) all_22_11 = e23
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (814), (2716) imply:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (2718) ~ (all_14_4 = e23)
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (816), (2716) imply:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (2719) ~ (all_14_6 = e23)
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (892), (2716) imply:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (2720) op2(all_6_0, e23) = all_28_50
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (39), (2716) imply:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (2721) op2(e23, e23) = all_6_1
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (38), (2716) imply:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (2722) op2(e23, e22) = all_6_0
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (891), (2716) imply:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (2723) op2(e22, e23) = all_28_42
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (37), (2716) imply:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (2724) op2(e22, e22) = e23
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with e21, all_28_42, e23, e22,
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2695), (2723) gives:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (2725) all_28_42 = e21
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_14_4, all_6_0, e22,
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | e23, simplifying with (185), (2722) gives:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (2726) all_14_4 = all_6_0
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with e20, all_22_24, e23, e23,
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (18), (2709) gives:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (2727) all_22_24 = e20
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_6_1, all_22_24, e23,
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | e23, simplifying with (2709), (2721) gives:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (2728) all_22_24 = all_6_1
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2727), (2728) imply:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (2729) all_6_1 = e20
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (717), (2726) imply:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (2730) all_18_1 = all_6_0
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (647), (2726) imply:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (2731) all_22_9 = all_6_0
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (589), (2726) imply:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (2732) all_26_1 = all_6_0
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (153), (2726) imply:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (2733) ~ (all_14_6 = all_6_0)
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2733) implies:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (2734) ~ (all_14_6 = all_6_0)
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2718), (2726) imply:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (2735) ~ (all_6_0 = e23)
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (801), (2726) imply:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (2736) ~ (all_6_0 = e20)
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (912), (2726) imply:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (2737) op2(all_6_0, e23) = all_22_8
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (893), (2729) imply:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (2738) op2(e20, all_6_0) = all_28_54
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_28_50, all_22_8, e23,
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | all_6_0, simplifying with (2720), (2737) gives:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | (2739) all_28_50 = all_22_8
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (238) gives:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2740) all_18_7 = e23
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (733), (2740) imply:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2741) all_14_13 = e23
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2741) implies:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2742) all_14_13 = e23
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2708), (2742) imply:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2743) $false
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2743) is inconsistent.
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2744) ~ (all_18_7 = e23)
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2745) all_18_7 = e22 | all_18_7 = e21 | all_18_7 = e20
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (239) gives:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2746) all_18_6 = e23
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (726), (2746) imply:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2747) all_14_9 = e23
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2465), (2747) imply:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2748) $false
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2748) is inconsistent.
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2749) all_18_6 = e22 | all_18_6 = e21 | all_18_6 = e20
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (234) gives:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2750) all_18_11 = e23
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (989), (2750) imply:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2751) all_10_0 = e23
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2701), (2751) imply:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2752) $false
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2752) is inconsistent.
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2753) ~ (all_18_11 = e23)
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2754) all_18_11 = e22 | all_18_11 = e21 | all_18_11 =
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (244) gives:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2755) all_18_1 = e23
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2730), (2755) imply:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2756) all_6_0 = e23
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2735), (2756) imply:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2757) $false
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2757) is inconsistent.
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2758) ~ (all_18_1 = e23)
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2759) all_18_1 = e22 | all_18_1 = e21 | all_18_1 = e20
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (236) gives:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2760) all_18_9 = e23
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (721), (2760) imply:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2761) all_14_6 = e23
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2719), (2761) imply:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2762) $false
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2762) is inconsistent.
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2763) all_18_9 = e22 | all_18_9 = e21 | all_18_9 = e20
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (377) gives:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2764) all_26_4 = e20
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (784), (2764) imply:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2765) all_14_8 = e20
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2765) implies:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2766) all_14_8 = e20
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (803), (2766) imply:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2767) $false
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2767) is inconsistent.
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2768) all_26_5 = e20 | all_26_8 = e20 | all_26_14 = e20
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (373) gives:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2769) all_26_6 = e20
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2699), (2769) imply:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2770) e23 = e20
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2770) implies:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2771) e23 = e20
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2456), (2771) imply:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2772) $false
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2772) is inconsistent.
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2773) ~ (all_26_6 = e20)
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2774) all_26_7 = e20 | all_26_8 = e20 | all_26_11 = e20
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (385) gives:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2775) all_26_1 = e21
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2732), (2775) imply:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2776) all_6_0 = e21
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2776) implies:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2777) all_6_0 = e21
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2734), (2777) imply:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2778) ~ (all_14_6 = e21)
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2738), (2777) imply:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2779) op2(e20, e21) = all_28_54
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (374) gives:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2780) all_26_6 = e21
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (2699), (2780) are inconsistent by sub-proof
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #42.
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2781) all_26_7 = e21 | all_26_8 = e21 | all_26_11 = e21
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2781) gives:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2782) all_26_7 = e21
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (564), (2782) imply:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2783) all_14_6 = e21
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2778), (2783) imply:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2784) $false
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2784) is inconsistent.
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2785) all_26_8 = e21 | all_26_11 = e21
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2785) gives:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2786) all_26_8 = e21
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (561), (2786) imply:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2787) all_4_2 = e21
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2787) implies:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2788) all_4_2 = e21
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (826), (2788) imply:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2789) ~ (all_14_9 = e21)
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1006), (2788) imply:
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2790) op2(all_10_0, e21) = all_28_126
% 57.72/9.20 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1019), (2788) imply:
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2791) op2(e20, e21) = all_28_114
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2749) gives:
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2792) all_18_6 = e20
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (726), (2792) imply:
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2793) all_14_9 = e20
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2793) implies:
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2794) all_14_9 = e20
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (134), (2794) imply:
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2795) ~ (all_14_13 = e20)
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2795) implies:
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2796) ~ (all_14_13 = e20)
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2789), (2794) imply:
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2797) ~ (e21 = e20)
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2763) gives:
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2798) all_18_9 = e20
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (721), (2450), (2798) are inconsistent by
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #12.
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2799) all_18_9 = e22 | all_18_9 = e21
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2799) gives:
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2800) all_18_9 = e22
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (721), (2800) imply:
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2801) all_14_6 = e22
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2801) implies:
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2802) all_14_6 = e22
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (564), (2802) imply:
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2803) all_26_7 = e22
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2745) gives:
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2804) all_18_7 = e20
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (733), (2804) imply:
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2805) all_14_13 = e20
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2805) implies:
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2806) all_14_13 = e20
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2796), (2806) imply:
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2807) $false
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2807) is inconsistent.
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2808) ~ (all_18_7 = e20)
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2809) all_18_7 = e22 | all_18_7 = e21
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2809) gives:
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2810) all_18_7 = e22
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (733), (2810) imply:
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2811) all_14_13 = e22
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2811) implies:
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2812) all_14_13 = e22
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (664), (2812) imply:
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2813) all_22_27 = e22
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2708), (2812) imply:
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2814) ~ (e23 = e22)
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (921), (2812) imply:
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2815) op2(e22, e22) = all_22_26
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2754) gives:
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2816) all_18_11 = e20
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (989), (2816) imply:
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2817) all_10_0 = e20
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (985), (2817) imply:
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2818) all_22_30 = e20
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (990), (2817) imply:
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2819) all_22_29 = e20
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2790), (2817) imply:
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2820) op2(e20, e21) = all_28_126
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1005), (2817) imply:
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2821) op2(e20, e21) = all_22_28
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with e23, all_28_126, e21, e20,
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2468), (2820) gives:
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2822) all_28_126 = e23
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_28_126, all_28_114,
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21, e20, simplifying with (2791), (2820) gives:
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2823) all_28_114 = all_28_126
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_28_114, all_28_54,
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21, e20, simplifying with (2779), (2791) gives:
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2824) all_28_54 = all_28_114
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_22_28, all_28_54, e21,
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20, simplifying with (2779), (2821) gives:
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2825) all_28_54 = all_22_28
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with e23, all_22_26, e22, e22,
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2724), (2815) gives:
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2826) all_22_26 = e23
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2824), (2825) imply:
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2827) all_28_114 = all_22_28
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2827) implies:
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2828) all_28_114 = all_22_28
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2823), (2828) imply:
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2829) all_28_126 = all_22_28
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2829) implies:
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2830) all_28_126 = all_22_28
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2822), (2830) imply:
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2831) all_22_28 = e23
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (317) gives:
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2832) all_22_24 = all_22_25
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2456), (2706), (2727), (2832) are inconsistent by
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #14.
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2833) ~ (all_22_24 = all_22_25)
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2834) all_22_26 = all_22_27 | all_22_28 = all_22_29 |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_30 = all_22_31
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2834) gives:
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2835) all_22_26 = all_22_27
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2826), (2835) imply:
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2836) all_22_27 = e23
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (2813), (2836) are inconsistent by sub-proof
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #26.
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2837) all_22_28 = all_22_29 | all_22_30 = all_22_31
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (781), (2456), (2693), (2818), (2819), (2831),
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2837) are inconsistent by sub-proof #13.
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2838) ~ (all_18_11 = e20)
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (989), (2838) imply:
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2839) ~ (all_10_0 = e20)
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (991), (2458), (2693), (2774), (2786), (2803),
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2839) are inconsistent by sub-proof #38.
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2840) all_18_7 = e21
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (733), (2840) imply:
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2841) all_14_13 = e21
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2841) implies:
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2842) all_14_13 = e21
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (833), (2842) imply:
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2843) $false
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2843) is inconsistent.
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2844) all_18_9 = e21
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (721), (2778), (2844) are inconsistent by
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #7.
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2845) ~ (all_18_6 = e20)
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (726), (2845) imply:
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2846) ~ (all_14_9 = e20)
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2768) gives:
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2847) all_26_5 = e20
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (573), (2847) imply:
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2848) all_14_9 = e20
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2848) implies:
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2849) all_14_9 = e20
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2846), (2849) imply:
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2850) $false
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2850) is inconsistent.
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2851) all_26_8 = e20 | all_26_14 = e20
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2851) gives:
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2852) all_26_8 = e20
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2786), (2852) imply:
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2853) e21 = e20
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2693), (2853) imply:
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2854) $false
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2854) is inconsistent.
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2855) all_26_14 = e20
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2463), (2855) imply:
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2856) e23 = e20
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2856) implies:
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2857) e23 = e20
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2456), (2857) imply:
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2858) $false
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2858) is inconsistent.
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2859) all_26_11 = e21
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (991), (1002), (2859) are inconsistent by
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #34.
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2860) ~ (all_26_1 = e21)
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.21 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2732), (2860) imply:
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2861) ~ (all_6_0 = e21)
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2759) gives:
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2862) all_18_1 = e20
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2730), (2862) imply:
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2863) all_6_0 = e20
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2736), (2863) imply:
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2864) $false
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2864) is inconsistent.
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2865) all_18_1 = e22 | all_18_1 = e21
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2865) gives:
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2866) all_18_1 = e22
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2730), (2866) imply:
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2867) all_6_0 = e22
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2867) implies:
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2868) all_6_0 = e22
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (978), (2868) imply:
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2869) all_22_10 = e22
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2731), (2868) imply:
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2870) all_22_9 = e22
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2734), (2868) imply:
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2871) ~ (all_14_6 = e22)
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2735), (2868) imply:
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2872) ~ (e23 = e22)
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2737), (2868) imply:
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2873) op2(e22, e23) = all_22_8
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2763) gives:
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2874) all_18_9 = e20
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (721), (2874) imply:
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2875) all_14_6 = e20
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2450), (2875) imply:
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2876) $false
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2876) is inconsistent.
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2877) ~ (all_18_9 = e20)
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2878) all_18_9 = e22 | all_18_9 = e21
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2878) gives:
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2879) all_18_9 = e22
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (721), (2879) imply:
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2880) all_14_6 = e22
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2871), (2880) imply:
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2881) $false
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2881) is inconsistent.
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2882) all_18_9 = e21
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (721), (2882) imply:
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2883) all_14_6 = e21
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (659), (2883) imply:
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2884) all_22_13 = e21
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (823), (2883) imply:
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2885) ~ (all_4_2 = e21)
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2885) implies:
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2886) ~ (all_4_2 = e21)
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2871), (2883) imply:
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2887) ~ (e22 = e21)
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2887) implies:
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2888) ~ (e22 = e21)
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (914), (2883) imply:
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2889) op2(e21, e21) = all_22_12
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with all_4_2, all_22_12, e21,
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21, simplifying with (31), (2889) gives:
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2890) all_22_12 = all_4_2
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (29) with e21, all_22_8, e23, e22,
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2695), (2873) gives:
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2891) all_22_8 = e21
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (319) gives:
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2892) all_22_8 = all_22_9
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2891), (2892) imply:
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2893) all_22_9 = e21
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2870), (2893) imply:
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2894) e22 = e21
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2888), (2894) imply:
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2895) $false
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2895) is inconsistent.
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2896) all_22_10 = all_22_11 | all_22_12 = all_22_13 |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_14 = all_22_15
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2896) gives:
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2897) all_22_10 = all_22_11
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2869), (2897) imply:
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2898) all_22_11 = e22
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2717), (2898) imply:
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2899) e23 = e22
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (2899) imply:
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2900) $false
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2900) is inconsistent.
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2901) all_22_12 = all_22_13 | all_22_14 = all_22_15
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2901) gives:
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2902) all_22_12 = all_22_13
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2890), (2902) imply:
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2903) all_22_13 = all_4_2
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2884), (2903) imply:
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2904) all_4_2 = e21
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2904) implies:
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2905) all_4_2 = e21
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2886), (2905) imply:
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2906) $false
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2906) is inconsistent.
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2907) all_22_14 = all_22_15
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2469), (2907) imply:
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2908) all_22_15 = e21
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2448), (2908) imply:
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2909) e21 = e20
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2909) implies:
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2910) e21 = e20
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2693), (2910) imply:
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2911) $false
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2911) is inconsistent.
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2912) all_18_1 = e21
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2730), (2912) imply:
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2913) all_6_0 = e21
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2913) implies:
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2914) all_6_0 = e21
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2861), (2914) imply:
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2915) $false
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2915) is inconsistent.
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | (2916) all_26_5 = e23 | all_26_10 = e23
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (570), (573), (2465), (2708), (2916) are
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #24.
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | (2917) ~ (all_18_3 = e23)
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | (2918) all_18_3 = e22 | all_18_3 = e21 | all_18_3 = e20
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (732), (2917) imply:
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | (2919) ~ (all_14_12 = e23)
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (372) gives:
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | (2920) all_26_9 = e23
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (583), (2920) imply:
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | (2921) all_14_12 = e23
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2919), (2921) imply:
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | (2922) $false
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2922) is inconsistent.
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | (2923) all_26_10 = e23 | all_26_11 = e23 | all_26_15 =
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | | e23
% 57.72/9.22 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2923) gives:
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | (2924) all_26_10 = e23
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (570), (2924) imply:
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | (2925) all_14_13 = e23
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (664), (2925) imply:
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | (2926) all_22_27 = e23
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (320) gives:
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2927) all_22_0 = all_22_1
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (951), (2927) imply:
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2928) all_22_1 = e22
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (645), (2458), (2928) are inconsistent by
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #46.
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2929) all_22_2 = all_22_3 | all_22_4 = all_22_5 |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_6 = all_22_7
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (390) gives:
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2930) all_26_0 = e23
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (594), (2930) imply:
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2931) e23 = e20
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2456), (2931) imply:
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2932) $false
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2932) is inconsistent.
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2933) all_26_1 = e23 | all_26_4 = e23 | all_26_9 = e23
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2933) gives:
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2934) all_26_1 = e23
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (589), (2934) imply:
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2935) all_14_4 = e23
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2935) implies:
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2936) all_14_4 = e23
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (153), (2936) imply:
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2937) ~ (all_14_6 = e23)
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2937) implies:
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2938) ~ (all_14_6 = e23)
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (150), (2936) imply:
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2939) ~ (all_14_12 = e23)
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2918) gives:
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2940) all_18_3 = e20
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (732), (2940) imply:
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2941) all_14_12 = e20
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2941) implies:
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2942) all_14_12 = e20
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (805), (2942) imply:
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2943) $false
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2943) is inconsistent.
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2944) ~ (all_18_3 = e20)
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2945) all_18_3 = e22 | all_18_3 = e21
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2945) gives:
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2946) all_18_3 = e22
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (732), (2946) imply:
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2947) all_14_12 = e22
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2947) implies:
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2948) all_14_12 = e22
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (662), (2948) imply:
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2949) all_22_25 = e22
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2919), (2948) imply:
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2950) ~ (e23 = e22)
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (832), (2948) imply:
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2951) ~ (e22 = e21)
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2929) gives:
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2952) all_22_2 = all_22_3
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2702), (2952) imply:
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2953) all_22_3 = all_14_6
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2685), (2953) imply:
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2954) all_14_6 = e21
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2954) implies:
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2955) all_14_6 = e21
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (564), (2955) imply:
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2956) all_26_7 = e21
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (998), (2955) imply:
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2957) ~ (all_10_0 = e21)
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (823), (2955) imply:
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2958) ~ (all_4_2 = e21)
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2958) implies:
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2959) ~ (all_4_2 = e21)
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (386) gives:
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2960) all_26_1 = e22
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2934), (2960) imply:
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2961) e23 = e22
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2961) implies:
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2962) e23 = e22
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (2962) imply:
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2963) $false
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2963) is inconsistent.
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2964) ~ (all_26_1 = e22)
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2965) all_26_3 = e22 | all_26_7 = e22 | all_26_13 = e22
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (316) gives:
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2966) (all_22_1 = e22 & all_22_9 = e23 & ~ (all_22_3 =
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_11 = e22) & ~ (all_22_19 =
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_27 = e20)) | (all_22_1 = e21
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_17 = e23 & ~ (all_22_5 = e23) & ~
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_13 = e22) & ~ (all_22_21 = e21) & ~
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_29 = e20)) | (all_22_1 = e20 & all_22_25
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23 & ~ (all_22_7 = e23) & ~ (all_22_15 =
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_23 = e21) & ~ (all_22_31 =
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20)) | (all_22_3 = e22 & all_22_11 = e23 & ~
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_1 = e23) & ~ (all_22_9 = e22) & ~
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_17 = e21) & ~ (all_22_25 = e20)) |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_5 = e21 & all_22_21 = e23 & ~ (all_22_1 =
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_9 = e22) & ~ (all_22_17 =
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_25 = e20)) | (all_22_7 = e20
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_31 = e23 & ~ (all_22_1 = e23) & ~
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_9 = e22) & ~ (all_22_17 = e21) & ~
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_25 = e20))
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2966) gives:
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2967) (all_22_1 = e22 & all_22_9 = e23 & ~ (all_22_3 =
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_11 = e22) & ~ (all_22_19 =
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_27 = e20)) | (all_22_1 = e21
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_17 = e23 & ~ (all_22_5 = e23) & ~
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_13 = e22) & ~ (all_22_21 = e21) & ~
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_29 = e20)) | (all_22_1 = e20 & all_22_25
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23 & ~ (all_22_7 = e23) & ~ (all_22_15 =
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_23 = e21) & ~ (all_22_31 =
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20))
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2967) gives:
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2968) all_22_1 = e22 & all_22_9 = e23 & ~ (all_22_3 =
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_11 = e22) & ~ (all_22_19 =
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_27 = e20)
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2968) implies:
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2969) all_22_1 = e22
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (645), (2458), (2969) are inconsistent by
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #46.
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2970) (all_22_1 = e21 & all_22_17 = e23 & ~ (all_22_5 =
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_13 = e22) & ~ (all_22_21 =
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_29 = e20)) | (all_22_1 = e20
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_25 = e23 & ~ (all_22_7 = e23) & ~
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e22) & ~ (all_22_23 = e21) & ~
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_31 = e20))
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2970) gives:
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2971) all_22_1 = e21 & all_22_17 = e23 & ~ (all_22_5 =
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_13 = e22) & ~ (all_22_21 =
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_29 = e20)
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (645), (2693), (2971) are inconsistent by
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #11.
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2972) all_22_1 = e20 & all_22_25 = e23 & ~ (all_22_7 =
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_15 = e22) & ~ (all_22_23 =
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_31 = e20)
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2972) implies:
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2973) all_22_25 = e23
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2949), (2973) imply:
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2974) e23 = e22
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (2974) imply:
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2975) $false
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2975) is inconsistent.
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2976) (all_22_3 = e22 & all_22_11 = e23 & ~ (all_22_1 =
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_9 = e22) & ~ (all_22_17 =
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_25 = e20)) | (all_22_5 = e21
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_21 = e23 & ~ (all_22_1 = e23) & ~
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_9 = e22) & ~ (all_22_17 = e21) & ~
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_25 = e20)) | (all_22_7 = e20 & all_22_31
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23 & ~ (all_22_1 = e23) & ~ (all_22_9 =
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22) & ~ (all_22_17 = e21) & ~ (all_22_25 =
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20))
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2976) gives:
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2977) all_22_3 = e22 & all_22_11 = e23 & ~ (all_22_1 =
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_9 = e22) & ~ (all_22_17 =
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_25 = e20)
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2977) implies:
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2978) all_22_3 = e22
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2685), (2978) imply:
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2979) e22 = e21
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2979) implies:
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2980) e22 = e21
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2951), (2980) imply:
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2981) $false
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2981) is inconsistent.
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2982) (all_22_5 = e21 & all_22_21 = e23 & ~ (all_22_1 =
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_9 = e22) & ~ (all_22_17 =
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_25 = e20)) | (all_22_7 = e20
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & all_22_31 = e23 & ~ (all_22_1 = e23) & ~
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_9 = e22) & ~ (all_22_17 = e21) & ~
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_25 = e20))
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2982) gives:
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2983) all_22_5 = e21 & all_22_21 = e23 & ~ (all_22_1 =
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_9 = e22) & ~ (all_22_17 =
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_25 = e20)
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2983) implies:
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2984) all_22_5 = e21
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2698), (2984) imply:
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2985) e23 = e21
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (2985) imply:
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2986) $false
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2986) is inconsistent.
% 57.72/9.23 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2987) all_22_7 = e20 & all_22_31 = e23 & ~ (all_22_1 =
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_9 = e22) & ~ (all_22_17 =
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_25 = e20)
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (552), (2458), (2987) are inconsistent by
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #10.
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2988) (all_22_11 = e21 & all_22_19 = e22 & ~ (all_22_5
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_22_13 = e22) & ~ (all_22_21
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e21) & ~ (all_22_29 = e20)) | (all_22_11 =
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20 & all_22_27 = e22 & ~ (all_22_7 = e23) & ~
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e22) & ~ (all_22_23 = e21) & ~
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_31 = e20)) | (all_22_13 = e21 &
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_21 = e22 & ~ (all_22_3 = e23) & ~
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e22) & ~ (all_22_19 = e21) & ~
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_27 = e20)) | (all_22_15 = e20 &
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_31 = e22 & ~ (all_22_3 = e23) & ~
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e22) & ~ (all_22_19 = e21) & ~
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_27 = e20)) | (all_22_21 = e20 &
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_29 = e21 & ~ (all_22_7 = e23) & ~
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e22) & ~ (all_22_23 = e21) & ~
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_31 = e20)) | (all_22_23 = e20 &
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_31 = e21 & ~ (all_22_5 = e23) & ~
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_13 = e22) & ~ (all_22_21 = e21) & ~
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_29 = e20))
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2988) gives:
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2989) (all_22_11 = e21 & all_22_19 = e22 & ~ (all_22_5
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_22_13 = e22) & ~ (all_22_21
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e21) & ~ (all_22_29 = e20)) | (all_22_11 =
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20 & all_22_27 = e22 & ~ (all_22_7 = e23) & ~
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e22) & ~ (all_22_23 = e21) & ~
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_31 = e20)) | (all_22_13 = e21 &
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_21 = e22 & ~ (all_22_3 = e23) & ~
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e22) & ~ (all_22_19 = e21) & ~
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_27 = e20))
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2989) gives:
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2990) all_22_11 = e21 & all_22_19 = e22 & ~ (all_22_5 =
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_13 = e22) & ~ (all_22_21 =
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_29 = e20)
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2990) implies:
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2991) all_22_11 = e21
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (575), (2991) imply:
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2992) all_6_2 = e21
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2691), (2992) imply:
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2993) $false
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2993) is inconsistent.
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2994) (all_22_11 = e20 & all_22_27 = e22 & ~ (all_22_7
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_22_15 = e22) & ~ (all_22_23
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e21) & ~ (all_22_31 = e20)) | (all_22_13 =
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21 & all_22_21 = e22 & ~ (all_22_3 = e23) & ~
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_11 = e22) & ~ (all_22_19 = e21) & ~
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_27 = e20))
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2994) gives:
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2995) all_22_11 = e20 & all_22_27 = e22 & ~ (all_22_7 =
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_15 = e22) & ~ (all_22_23 =
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_31 = e20)
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2995) implies:
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2996) all_22_27 = e22
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (10), (2926), (2996) are inconsistent by sub-proof
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #26.
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2997) all_22_13 = e21 & all_22_21 = e22 & ~ (all_22_3 =
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_11 = e22) & ~ (all_22_19 =
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_27 = e20)
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (2997) implies:
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2998) all_22_21 = e22
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2999) ~ (all_22_11 = e22)
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (661), (2998) imply:
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3000) all_4_2 = e22
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3000) implies:
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3001) all_4_2 = e22
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (575), (2999) imply:
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3002) ~ (all_6_2 = e22)
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2965) gives:
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3003) all_26_3 = e22
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (785), (3003) imply:
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3004) all_6_2 = e22
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3004) implies:
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3005) all_6_2 = e22
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (3002), (3005) imply:
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3006) $false
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3006) is inconsistent.
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3007) all_26_7 = e22 | all_26_13 = e22
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3007) gives:
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3008) all_26_7 = e22
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2956), (3008) imply:
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3009) e22 = e21
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2951), (3009) imply:
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3010) $false
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3010) is inconsistent.
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3011) all_26_13 = e22
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2449), (3011) imply:
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3012) e22 = e20
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2458), (3012) imply:
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3013) $false
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3013) is inconsistent.
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3014) (all_22_15 = e20 & all_22_31 = e22 & ~ (all_22_3
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_22_11 = e22) & ~ (all_22_19
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e21) & ~ (all_22_27 = e20)) | (all_22_21 =
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20 & all_22_29 = e21 & ~ (all_22_7 = e23) & ~
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_15 = e22) & ~ (all_22_23 = e21) & ~
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_31 = e20)) | (all_22_23 = e20 &
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_22_31 = e21 & ~ (all_22_5 = e23) & ~
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_13 = e22) & ~ (all_22_21 = e21) & ~
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_29 = e20))
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3014) gives:
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3015) all_22_15 = e20 & all_22_31 = e22 & ~ (all_22_3 =
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_11 = e22) & ~ (all_22_19 =
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_27 = e20)
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (781), (2951), (3015) are inconsistent by
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #9.
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3016) (all_22_21 = e20 & all_22_29 = e21 & ~ (all_22_7
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e23) & ~ (all_22_15 = e22) & ~ (all_22_23
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | = e21) & ~ (all_22_31 = e20)) | (all_22_23 =
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20 & all_22_31 = e21 & ~ (all_22_5 = e23) & ~
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_13 = e22) & ~ (all_22_21 = e21) & ~
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_22_29 = e20))
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3016) gives:
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3017) all_22_21 = e20 & all_22_29 = e21 & ~ (all_22_7 =
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_15 = e22) & ~ (all_22_23 =
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_31 = e20)
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (3017) implies:
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3018) all_22_29 = e21
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (990), (3018) imply:
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3019) all_10_0 = e21
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3019) implies:
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3020) all_10_0 = e21
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1002), (3020) imply:
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3021) $false
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3021) is inconsistent.
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3022) all_22_23 = e20 & all_22_31 = e21 & ~ (all_22_5 =
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23) & ~ (all_22_13 = e22) & ~ (all_22_21 =
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21) & ~ (all_22_29 = e20)
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (2456), (2462), (3022) are inconsistent by
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #8.
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3023) ~ (all_22_2 = all_22_3)
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2685), (2702), (3023) imply:
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3024) ~ (all_14_6 = e21)
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (385) gives:
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3025) all_26_1 = e21
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2934), (3025) imply:
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3026) e23 = e21
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3026) implies:
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3027) e23 = e21
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (3027) imply:
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3028) $false
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3028) is inconsistent.
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3029) all_26_3 = e21 | all_26_7 = e21 | all_26_13 = e21
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3029) gives:
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3030) all_26_3 = e21
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (785), (2691), (3030) are inconsistent by
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #33.
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3031) all_26_7 = e21 | all_26_13 = e21
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (564), (2449), (2693), (3024), (3031) are
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #22.
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.24 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3032) all_18_3 = e21
% 57.72/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (732), (3032) imply:
% 57.72/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3033) all_14_12 = e21
% 57.72/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3033) implies:
% 57.72/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3034) all_14_12 = e21
% 57.72/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (832), (3034) imply:
% 57.72/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3035) $false
% 57.72/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3035) is inconsistent.
% 57.72/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (3036) all_26_4 = e23 | all_26_9 = e23
% 57.72/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (583), (784), (2464), (2919), (3036) are
% 57.72/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #4.
% 57.72/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | (3037) all_26_11 = e23 | all_26_15 = e23
% 57.72/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (3037) gives:
% 57.72/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3038) all_26_11 = e23
% 57.72/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (991), (3038) imply:
% 57.72/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3039) all_10_0 = e23
% 57.72/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (3039) implies:
% 57.72/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3040) all_10_0 = e23
% 57.72/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2701), (3040) imply:
% 57.72/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3041) $false
% 57.72/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3041) is inconsistent.
% 57.72/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3042) all_26_15 = e23
% 57.72/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (544), (3042) imply:
% 57.72/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3043) e23 = e21
% 57.72/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (3043) imply:
% 57.72/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | (3044) $false
% 57.72/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (3044) is inconsistent.
% 57.72/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.25 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.25 | | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.25 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.25 | | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.25 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.25 | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.25 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.25 | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.25 | | | | | | | | | | | | | | | | | | | | | | | (3045) ~ (all_18_8 = e23)
% 57.72/9.25 | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.25 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (714), (3045) imply:
% 57.72/9.25 | | | | | | | | | | | | | | | | | | | | | | | (3046) ~ (all_14_2 = e23)
% 57.72/9.25 | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.25 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10), (567), (783), (2671), (2686), (3046)
% 57.72/9.25 | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #17.
% 57.72/9.25 | | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.25 | | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.25 | | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.25 | | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.25 | | | | | | | | | | | | | | | | | | | | |
% 57.72/9.25 | | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.25 | | | | | | | | | | | | | | | | | | | |
% 57.72/9.25 | | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.25 | | | | | | | | | | | | | | | | | | |
% 57.72/9.25 | | | | | | | | | | | | | | | | | | End of split
% 57.72/9.25 | | | | | | | | | | | | | | | | | |
% 57.72/9.25 | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.25 | | | | | | | | | | | | | | | | | |
% 57.72/9.25 | | | | | | | | | | | | | | | | | | (3047) ~ (all_18_14 = e23)
% 57.72/9.25 | | | | | | | | | | | | | | | | | |
% 57.72/9.25 | | | | | | | | | | | | | | | | | | REDUCE: (730), (3047) imply:
% 57.72/9.25 | | | | | | | | | | | | | | | | | | (3048) ~ (all_14_11 = e23)
% 57.72/9.25 | | | | | | | | | | | | | | | | | |
% 57.72/9.25 | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (10), (371), (544), (547), (783), (2449),
% 57.72/9.25 | | | | | | | | | | | | | | | | | | (2456), (3048) are inconsistent by sub-proof #44.
% 57.72/9.25 | | | | | | | | | | | | | | | | | |
% 57.72/9.25 | | | | | | | | | | | | | | | | | End of split
% 57.72/9.25 | | | | | | | | | | | | | | | | |
% 57.72/9.25 | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.25 | | | | | | | | | | | | | | | | |
% 57.72/9.25 | | | | | | | | | | | | | | | | | (3049) all_18_13 = e22 | all_18_13 = e21
% 57.72/9.25 | | | | | | | | | | | | | | | | |
% 57.72/9.25 | | | | | | | | | | | | | | | | | BETA: splitting (3049) gives:
% 57.72/9.25 | | | | | | | | | | | | | | | | |
% 57.72/9.25 | | | | | | | | | | | | | | | | | Case 1:
% 57.72/9.25 | | | | | | | | | | | | | | | | | |
% 57.72/9.25 | | | | | | | | | | | | | | | | | | (3050) all_18_13 = e22
% 57.72/9.25 | | | | | | | | | | | | | | | | | |
% 57.72/9.25 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (723), (3050) imply:
% 57.72/9.25 | | | | | | | | | | | | | | | | | | (3051) all_14_7 = e22
% 57.72/9.25 | | | | | | | | | | | | | | | | | |
% 57.72/9.25 | | | | | | | | | | | | | | | | | | REDUCE: (811), (3051) imply:
% 57.72/9.25 | | | | | | | | | | | | | | | | | | (3052) $false
% 57.72/9.25 | | | | | | | | | | | | | | | | | |
% 57.72/9.25 | | | | | | | | | | | | | | | | | | CLOSE: (3052) is inconsistent.
% 57.72/9.25 | | | | | | | | | | | | | | | | | |
% 57.72/9.25 | | | | | | | | | | | | | | | | | Case 2:
% 57.72/9.25 | | | | | | | | | | | | | | | | | |
% 57.72/9.25 | | | | | | | | | | | | | | | | | | (3053) all_18_13 = e21
% 57.72/9.25 | | | | | | | | | | | | | | | | | |
% 57.72/9.25 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (723), (3053) imply:
% 57.72/9.25 | | | | | | | | | | | | | | | | | | (3054) all_14_7 = e21
% 57.72/9.25 | | | | | | | | | | | | | | | | | |
% 57.72/9.25 | | | | | | | | | | | | | | | | | | REDUCE: (824), (3054) imply:
% 57.72/9.25 | | | | | | | | | | | | | | | | | | (3055) $false
% 57.72/9.25 | | | | | | | | | | | | | | | | | |
% 57.72/9.25 | | | | | | | | | | | | | | | | | | CLOSE: (3055) is inconsistent.
% 57.72/9.25 | | | | | | | | | | | | | | | | | |
% 57.72/9.25 | | | | | | | | | | | | | | | | | End of split
% 57.72/9.25 | | | | | | | | | | | | | | | | |
% 57.72/9.25 | | | | | | | | | | | | | | | | End of split
% 57.72/9.25 | | | | | | | | | | | | | | | |
% 57.72/9.25 | | | | | | | | | | | | | | | End of split
% 57.72/9.25 | | | | | | | | | | | | | | |
% 57.72/9.25 | | | | | | | | | | | | | | End of split
% 57.72/9.25 | | | | | | | | | | | | | |
% 57.72/9.25 | | | | | | | | | | | | | End of split
% 57.72/9.25 | | | | | | | | | | | | |
% 57.72/9.25 | | | | | | | | | | | | End of split
% 57.72/9.25 | | | | | | | | | | | |
% 57.72/9.25 | | | | | | | | | | | End of split
% 57.72/9.25 | | | | | | | | | | |
% 57.72/9.25 | | | | | | | | | | Case 2:
% 57.72/9.25 | | | | | | | | | | |
% 57.72/9.25 | | | | | | | | | | | (3056) all_24_8 = e13 | all_24_14 = e13
% 57.72/9.25 | | | | | | | | | | |
% 57.72/9.25 | | | | | | | | | | | BETA: splitting (3056) gives:
% 57.72/9.25 | | | | | | | | | | |
% 57.72/9.25 | | | | | | | | | | | Case 1:
% 57.72/9.25 | | | | | | | | | | | |
% 57.72/9.25 | | | | | | | | | | | | (3057) all_24_8 = e13
% 57.72/9.25 | | | | | | | | | | | |
% 57.72/9.25 | | | | | | | | | | | | COMBINE_EQS: (496), (3057) imply:
% 57.72/9.25 | | | | | | | | | | | | (3058) all_12_10 = e13
% 57.72/9.25 | | | | | | | | | | | |
% 57.72/9.25 | | | | | | | | | | | | REDUCE: (1295), (3058) imply:
% 57.72/9.25 | | | | | | | | | | | | (3059) $false
% 57.72/9.25 | | | | | | | | | | | |
% 57.72/9.25 | | | | | | | | | | | | CLOSE: (3059) is inconsistent.
% 57.72/9.25 | | | | | | | | | | | |
% 57.72/9.25 | | | | | | | | | | | Case 2:
% 57.72/9.25 | | | | | | | | | | | |
% 57.72/9.25 | | | | | | | | | | | | (3060) all_24_14 = e13
% 57.72/9.25 | | | | | | | | | | | |
% 57.72/9.25 | | | | | | | | | | | | COMBINE_EQS: (1499), (3060) imply:
% 57.72/9.25 | | | | | | | | | | | | (3061) e13 = e10
% 57.72/9.25 | | | | | | | | | | | |
% 57.72/9.25 | | | | | | | | | | | | REDUCE: (1510), (3061) imply:
% 57.72/9.25 | | | | | | | | | | | | (3062) $false
% 57.72/9.25 | | | | | | | | | | | |
% 57.72/9.25 | | | | | | | | | | | | CLOSE: (3062) is inconsistent.
% 57.72/9.25 | | | | | | | | | | | |
% 57.72/9.25 | | | | | | | | | | | End of split
% 57.72/9.25 | | | | | | | | | | |
% 57.72/9.25 | | | | | | | | | | End of split
% 57.72/9.25 | | | | | | | | | |
% 57.72/9.25 | | | | | | | | | Case 2:
% 57.72/9.25 | | | | | | | | | |
% 57.72/9.25 | | | | | | | | | | (3063) all_16_13 = e12 | all_16_13 = e11 | all_16_13 =
% 57.72/9.25 | | | | | | | | | | e10
% 57.72/9.25 | | | | | | | | | |
% 57.72/9.25 | | | | | | | | | | REF_CLOSE: (752), (848), (852), (1500), (3063) are
% 57.72/9.25 | | | | | | | | | | inconsistent by sub-proof #61.
% 57.72/9.25 | | | | | | | | | |
% 57.72/9.25 | | | | | | | | | End of split
% 57.72/9.25 | | | | | | | | |
% 57.72/9.25 | | | | | | | | Case 2:
% 57.72/9.25 | | | | | | | | |
% 57.72/9.25 | | | | | | | | | (3064) all_16_14 = e12 | all_16_14 = e11
% 57.72/9.25 | | | | | | | | |
% 57.72/9.25 | | | | | | | | | REF_CLOSE: (758), (850), (853), (3064) are inconsistent by
% 57.72/9.25 | | | | | | | | | sub-proof #3.
% 57.72/9.25 | | | | | | | | |
% 57.72/9.25 | | | | | | | | End of split
% 57.72/9.25 | | | | | | | |
% 57.72/9.25 | | | | | | | End of split
% 57.72/9.25 | | | | | | |
% 57.72/9.25 | | | | | | End of split
% 57.72/9.25 | | | | | |
% 57.72/9.25 | | | | | Case 2:
% 57.72/9.25 | | | | | |
% 57.72/9.25 | | | | | | (3065) all_16_8 = e12 | all_16_8 = e11 | all_16_8 = e10
% 57.72/9.25 | | | | | |
% 57.72/9.25 | | | | | | REF_CLOSE: (742), (838), (846), (1277), (3065) are inconsistent by
% 57.72/9.25 | | | | | | sub-proof #2.
% 57.72/9.25 | | | | | |
% 57.72/9.25 | | | | | End of split
% 57.72/9.25 | | | | |
% 57.72/9.26 | | | | End of split
% 57.72/9.26 | | | |
% 57.72/9.26 | | | End of split
% 57.72/9.26 | | |
% 57.72/9.26 | | End of split
% 57.72/9.26 | |
% 57.72/9.26 | Case 2:
% 57.72/9.26 | |
% 57.72/9.26 | | (3066) all_16_3 = e12 | all_16_3 = e11 | all_16_3 = e10
% 57.72/9.26 | |
% 57.72/9.26 | | BETA: splitting (3066) gives:
% 57.72/9.26 | |
% 57.72/9.26 | | Case 1:
% 57.72/9.26 | | |
% 57.72/9.26 | | | (3067) all_16_3 = e10
% 57.72/9.26 | | |
% 57.72/9.26 | | | COMBINE_EQS: (760), (3067) imply:
% 57.72/9.26 | | | (3068) all_12_12 = e10
% 57.72/9.26 | | |
% 57.72/9.26 | | | SIMP: (3068) implies:
% 57.72/9.26 | | | (3069) all_12_12 = e10
% 57.72/9.26 | | |
% 57.72/9.26 | | | REDUCE: (844), (3069) imply:
% 57.72/9.26 | | | (3070) $false
% 57.72/9.26 | | |
% 57.72/9.26 | | | CLOSE: (3070) is inconsistent.
% 57.72/9.26 | | |
% 57.72/9.26 | | Case 2:
% 57.72/9.26 | | |
% 57.72/9.26 | | | (3071) all_16_3 = e12 | all_16_3 = e11
% 57.72/9.26 | | |
% 57.72/9.26 | | | BETA: splitting (3071) gives:
% 57.72/9.26 | | |
% 57.72/9.26 | | | Case 1:
% 57.72/9.26 | | | |
% 57.72/9.26 | | | | (3072) all_16_3 = e12
% 57.72/9.26 | | | |
% 57.72/9.26 | | | | COMBINE_EQS: (760), (3072) imply:
% 57.72/9.26 | | | | (3073) all_12_12 = e12
% 57.72/9.26 | | | |
% 57.72/9.26 | | | | SIMP: (3073) implies:
% 57.72/9.26 | | | | (3074) all_12_12 = e12
% 57.72/9.26 | | | |
% 57.72/9.26 | | | | COMBINE_EQS: (696), (3074) imply:
% 57.72/9.26 | | | | (3075) all_20_25 = e12
% 57.72/9.26 | | | |
% 57.72/9.26 | | | | COMBINE_EQS: (616), (3074) imply:
% 57.72/9.26 | | | | (3076) all_24_9 = e12
% 57.72/9.26 | | | |
% 57.72/9.26 | | | | REDUCE: (86), (3074) imply:
% 57.72/9.26 | | | | (3077) ~ (all_12_4 = e12)
% 57.72/9.26 | | | |
% 57.72/9.26 | | | | REDUCE: (66), (3074) imply:
% 57.72/9.26 | | | | (3078) ~ (all_12_13 = e12)
% 57.72/9.26 | | | |
% 57.72/9.26 | | | | SIMP: (3078) implies:
% 57.72/9.26 | | | | (3079) ~ (all_12_13 = e12)
% 57.72/9.26 | | | |
% 57.72/9.26 | | | | REDUCE: (65), (3074) imply:
% 57.72/9.26 | | | | (3080) ~ (all_12_14 = e12)
% 57.72/9.26 | | | |
% 57.72/9.26 | | | | SIMP: (3080) implies:
% 57.72/9.26 | | | | (3081) ~ (all_12_14 = e12)
% 57.72/9.26 | | | |
% 57.72/9.26 | | | | BETA: splitting (212) gives:
% 57.72/9.26 | | | |
% 57.72/9.26 | | | | Case 1:
% 57.72/9.26 | | | | |
% 57.72/9.26 | | | | | (3082) all_16_4 = e13
% 57.72/9.26 | | | | |
% 57.72/9.26 | | | | | COMBINE_EQS: (741), (3082) imply:
% 57.72/9.26 | | | | | (3083) all_12_1 = e13
% 57.72/9.26 | | | | |
% 57.72/9.26 | | | | | SIMP: (3083) implies:
% 57.72/9.26 | | | | | (3084) all_12_1 = e13
% 57.72/9.26 | | | | |
% 57.72/9.26 | | | | | COMBINE_EQS: (681), (3084) imply:
% 57.72/9.26 | | | | | (3085) all_20_3 = e13
% 57.72/9.26 | | | | |
% 57.72/9.26 | | | | | COMBINE_EQS: (520), (3084) imply:
% 57.72/9.26 | | | | | (3086) all_24_2 = e13
% 57.72/9.26 | | | | |
% 57.72/9.26 | | | | | REDUCE: (98), (3084) imply:
% 57.72/9.26 | | | | | (3087) ~ (all_12_13 = e13)
% 57.72/9.26 | | | | |
% 57.72/9.26 | | | | | SIMP: (3087) implies:
% 57.72/9.26 | | | | | (3088) ~ (all_12_13 = e13)
% 57.72/9.26 | | | | |
% 57.72/9.26 | | | | | REDUCE: (845), (3084) imply:
% 57.72/9.26 | | | | | (3089) ~ (e13 = e12)
% 57.72/9.26 | | | | |
% 57.72/9.26 | | | | | REDUCE: (929), (3084) imply:
% 57.72/9.26 | | | | | (3090) op1(e13, e12) = all_20_2
% 57.72/9.26 | | | | |
% 57.72/9.26 | | | | | BETA: splitting (210) gives:
% 57.72/9.26 | | | | |
% 57.72/9.26 | | | | | Case 1:
% 57.72/9.26 | | | | | |
% 57.72/9.26 | | | | | | (3091) all_16_7 = e13
% 57.72/9.26 | | | | | |
% 57.72/9.26 | | | | | | COMBINE_EQS: (761), (3091) imply:
% 57.72/9.26 | | | | | | (3092) all_12_13 = e13
% 57.72/9.26 | | | | | |
% 57.72/9.26 | | | | | | SIMP: (3092) implies:
% 57.72/9.26 | | | | | | (3093) all_12_13 = e13
% 57.72/9.26 | | | | | |
% 57.72/9.26 | | | | | | REDUCE: (3088), (3093) imply:
% 57.72/9.26 | | | | | | (3094) $false
% 57.72/9.26 | | | | | |
% 57.72/9.26 | | | | | | CLOSE: (3094) is inconsistent.
% 57.72/9.26 | | | | | |
% 57.72/9.26 | | | | | Case 2:
% 57.72/9.26 | | | | | |
% 57.72/9.26 | | | | | | (3095) ~ (all_16_7 = e13)
% 57.72/9.26 | | | | | | (3096) all_16_7 = e12 | all_16_7 = e11 | all_16_7 = e10
% 57.72/9.26 | | | | | |
% 57.72/9.26 | | | | | | BETA: splitting (3096) gives:
% 57.72/9.26 | | | | | |
% 57.72/9.26 | | | | | | Case 1:
% 57.72/9.26 | | | | | | |
% 57.72/9.26 | | | | | | | (3097) all_16_7 = e10
% 57.72/9.26 | | | | | | |
% 57.72/9.26 | | | | | | | COMBINE_EQS: (761), (3097) imply:
% 57.72/9.26 | | | | | | | (3098) all_12_13 = e10
% 57.72/9.26 | | | | | | |
% 57.72/9.26 | | | | | | | SIMP: (3098) implies:
% 57.72/9.26 | | | | | | | (3099) all_12_13 = e10
% 57.72/9.26 | | | | | | |
% 57.72/9.26 | | | | | | | COMBINE_EQS: (698), (3099) imply:
% 57.72/9.26 | | | | | | | (3100) all_20_27 = e10
% 57.72/9.26 | | | | | | |
% 57.72/9.26 | | | | | | | COMBINE_EQS: (946), (3099) imply:
% 57.72/9.26 | | | | | | | (3101) all_20_6 = e10
% 57.72/9.26 | | | | | | |
% 57.72/9.26 | | | | | | | COMBINE_EQS: (625), (3099) imply:
% 57.72/9.26 | | | | | | | (3102) all_24_10 = e10
% 57.72/9.26 | | | | | | |
% 57.72/9.26 | | | | | | | REDUCE: (3088), (3099) imply:
% 57.72/9.26 | | | | | | | (3103) ~ (e13 = e10)
% 57.72/9.26 | | | | | | |
% 57.72/9.26 | | | | | | | SIMP: (3103) implies:
% 57.72/9.26 | | | | | | | (3104) ~ (e13 = e10)
% 57.72/9.26 | | | | | | |
% 57.72/9.26 | | | | | | | REDUCE: (855), (3099) imply:
% 57.72/9.26 | | | | | | | (3105) ~ (e11 = e10)
% 57.72/9.26 | | | | | | |
% 57.72/9.26 | | | | | | | BETA: splitting (350) gives:
% 57.72/9.26 | | | | | | |
% 57.72/9.26 | | | | | | | Case 1:
% 57.72/9.26 | | | | | | | |
% 57.72/9.26 | | | | | | | | (3106) all_24_0 = e11
% 57.72/9.26 | | | | | | | |
% 57.72/9.26 | | | | | | | | REF_CLOSE: (7), (610), (3106) are inconsistent by sub-proof #75.
% 57.72/9.26 | | | | | | | |
% 57.72/9.26 | | | | | | | Case 2:
% 57.72/9.26 | | | | | | | |
% 57.72/9.26 | | | | | | | | (3107) all_24_2 = e11 | all_24_6 = e11 | all_24_12 = e11
% 57.72/9.26 | | | | | | | |
% 57.72/9.26 | | | | | | | | BETA: splitting (3107) gives:
% 57.72/9.26 | | | | | | | |
% 57.72/9.26 | | | | | | | | Case 1:
% 57.72/9.26 | | | | | | | | |
% 57.72/9.26 | | | | | | | | | (3108) all_24_2 = e11
% 57.72/9.26 | | | | | | | | |
% 57.72/9.26 | | | | | | | | | REF_CLOSE: (8), (3086), (3108) are inconsistent by sub-proof
% 57.72/9.26 | | | | | | | | | #74.
% 57.72/9.26 | | | | | | | | |
% 57.72/9.26 | | | | | | | | Case 2:
% 57.72/9.26 | | | | | | | | |
% 57.72/9.26 | | | | | | | | | (3109) ~ (all_24_2 = e11)
% 57.72/9.26 | | | | | | | | | (3110) all_24_6 = e11 | all_24_12 = e11
% 57.72/9.26 | | | | | | | | |
% 57.72/9.26 | | | | | | | | | BETA: splitting (206) gives:
% 57.72/9.26 | | | | | | | | |
% 57.72/9.26 | | | | | | | | | Case 1:
% 57.72/9.26 | | | | | | | | | |
% 57.72/9.26 | | | | | | | | | | (3111) all_16_11 = e13
% 57.72/9.26 | | | | | | | | | |
% 57.72/9.26 | | | | | | | | | | COMBINE_EQS: (762), (3111) imply:
% 57.72/9.26 | | | | | | | | | | (3112) all_12_14 = e13
% 57.72/9.26 | | | | | | | | | |
% 57.72/9.26 | | | | | | | | | | COMBINE_EQS: (700), (3112) imply:
% 57.72/9.26 | | | | | | | | | | (3113) all_20_29 = e13
% 57.72/9.26 | | | | | | | | | |
% 57.72/9.26 | | | | | | | | | | BETA: splitting (3110) gives:
% 57.72/9.26 | | | | | | | | | |
% 57.72/9.26 | | | | | | | | | | Case 1:
% 57.72/9.26 | | | | | | | | | | |
% 57.72/9.26 | | | | | | | | | | | (3114) all_24_6 = e11
% 57.72/9.26 | | | | | | | | | | |
% 57.72/9.26 | | | | | | | | | | | COMBINE_EQS: (627), (3114) imply:
% 57.72/9.26 | | | | | | | | | | | (3115) all_12_2 = e11
% 57.72/9.26 | | | | | | | | | | |
% 57.72/9.26 | | | | | | | | | | | SIMP: (3115) implies:
% 57.72/9.26 | | | | | | | | | | | (3116) all_12_2 = e11
% 57.72/9.26 | | | | | | | | | | |
% 57.72/9.26 | | | | | | | | | | | COMBINE_EQS: (690), (3116) imply:
% 57.72/9.26 | | | | | | | | | | | (3117) all_20_5 = e11
% 57.72/9.26 | | | | | | | | | | |
% 57.72/9.26 | | | | | | | | | | | REDUCE: (96), (3116) imply:
% 57.72/9.26 | | | | | | | | | | | (3118) ~ (all_12_6 = e11)
% 57.72/9.26 | | | | | | | | | | |
% 57.72/9.26 | | | | | | | | | | | SIMP: (3118) implies:
% 58.23/9.26 | | | | | | | | | | | (3119) ~ (all_12_6 = e11)
% 58.23/9.26 | | | | | | | | | | |
% 58.23/9.26 | | | | | | | | | | | REDUCE: (95), (3116) imply:
% 58.23/9.26 | | | | | | | | | | | (3120) ~ (all_12_10 = e11)
% 58.23/9.26 | | | | | | | | | | |
% 58.23/9.26 | | | | | | | | | | | SIMP: (3120) implies:
% 58.23/9.26 | | | | | | | | | | | (3121) ~ (all_12_10 = e11)
% 58.23/9.26 | | | | | | | | | | |
% 58.23/9.26 | | | | | | | | | | | REDUCE: (846), (3116) imply:
% 58.23/9.26 | | | | | | | | | | | (3122) ~ (e12 = e11)
% 58.23/9.26 | | | | | | | | | | |
% 58.23/9.26 | | | | | | | | | | | REDUCE: (930), (3116) imply:
% 58.23/9.26 | | | | | | | | | | | (3123) op1(e11, e11) = all_20_4
% 58.23/9.26 | | | | | | | | | | |
% 58.23/9.26 | | | | | | | | | | | GROUND_INST: instantiating (28) with all_12_10, all_20_4, e11,
% 58.23/9.26 | | | | | | | | | | | e11, simplifying with (113), (3123) gives:
% 58.23/9.26 | | | | | | | | | | | (3124) all_20_4 = all_12_10
% 58.23/9.26 | | | | | | | | | | |
% 58.23/9.26 | | | | | | | | | | | GROUND_INST: instantiating (28) with all_12_4, all_20_2, e12,
% 58.23/9.26 | | | | | | | | | | | e13, simplifying with (122), (3090) gives:
% 58.23/9.26 | | | | | | | | | | | (3125) all_20_2 = all_12_4
% 58.23/9.26 | | | | | | | | | | |
% 58.23/9.26 | | | | | | | | | | | BETA: splitting (282) gives:
% 58.23/9.26 | | | | | | | | | | |
% 58.23/9.26 | | | | | | | | | | | Case 1:
% 58.23/9.26 | | | | | | | | | | | |
% 58.23/9.26 | | | | | | | | | | | | (3126) all_20_0 = all_20_1
% 58.23/9.26 | | | | | | | | | | | |
% 58.23/9.26 | | | | | | | | | | | | COMBINE_EQS: (944), (3126) imply:
% 58.23/9.26 | | | | | | | | | | | | (3127) all_20_1 = e12
% 58.23/9.26 | | | | | | | | | | | |
% 58.23/9.26 | | | | | | | | | | | | SIMP: (3127) implies:
% 58.23/9.26 | | | | | | | | | | | | (3128) all_20_1 = e12
% 58.23/9.26 | | | | | | | | | | | |
% 58.23/9.26 | | | | | | | | | | | | REF_CLOSE: (678), (840), (3128) are inconsistent by sub-proof
% 58.23/9.26 | | | | | | | | | | | | #73.
% 58.23/9.26 | | | | | | | | | | | |
% 58.23/9.26 | | | | | | | | | | | Case 2:
% 58.23/9.26 | | | | | | | | | | | |
% 58.23/9.26 | | | | | | | | | | | | (3129) ~ (all_20_0 = all_20_1)
% 58.23/9.26 | | | | | | | | | | | | (3130) all_20_2 = all_20_3 | all_20_4 = all_20_5 |
% 58.23/9.26 | | | | | | | | | | | | all_20_6 = all_20_7
% 58.23/9.26 | | | | | | | | | | | |
% 58.23/9.26 | | | | | | | | | | | | BETA: splitting (3130) gives:
% 58.23/9.26 | | | | | | | | | | | |
% 58.23/9.26 | | | | | | | | | | | | Case 1:
% 58.23/9.26 | | | | | | | | | | | | |
% 58.23/9.26 | | | | | | | | | | | | | (3131) all_20_2 = all_20_3
% 58.23/9.26 | | | | | | | | | | | | |
% 58.23/9.26 | | | | | | | | | | | | | COMBINE_EQS: (3125), (3131) imply:
% 58.23/9.26 | | | | | | | | | | | | | (3132) all_20_3 = all_12_4
% 58.23/9.26 | | | | | | | | | | | | |
% 58.23/9.26 | | | | | | | | | | | | | COMBINE_EQS: (3085), (3132) imply:
% 58.23/9.26 | | | | | | | | | | | | | (3133) all_12_4 = e13
% 58.23/9.26 | | | | | | | | | | | | |
% 58.23/9.26 | | | | | | | | | | | | | SIMP: (3133) implies:
% 58.23/9.26 | | | | | | | | | | | | | (3134) all_12_4 = e13
% 58.23/9.26 | | | | | | | | | | | | |
% 58.23/9.26 | | | | | | | | | | | | | REDUCE: (89), (3134) imply:
% 58.23/9.26 | | | | | | | | | | | | | (3135) ~ (all_12_6 = e13)
% 58.23/9.26 | | | | | | | | | | | | |
% 58.23/9.26 | | | | | | | | | | | | | SIMP: (3135) implies:
% 58.23/9.26 | | | | | | | | | | | | | (3136) ~ (all_12_6 = e13)
% 58.23/9.26 | | | | | | | | | | | | |
% 58.23/9.26 | | | | | | | | | | | | | REDUCE: (88), (3134) imply:
% 58.23/9.26 | | | | | | | | | | | | | (3137) ~ (all_12_7 = e13)
% 58.23/9.26 | | | | | | | | | | | | |
% 58.23/9.26 | | | | | | | | | | | | | SIMP: (3137) implies:
% 58.23/9.26 | | | | | | | | | | | | | (3138) ~ (all_12_7 = e13)
% 58.23/9.26 | | | | | | | | | | | | |
% 58.23/9.26 | | | | | | | | | | | | | BETA: splitting (205) gives:
% 58.23/9.26 | | | | | | | | | | | | |
% 58.23/9.26 | | | | | | | | | | | | | Case 1:
% 58.23/9.26 | | | | | | | | | | | | | |
% 58.23/9.26 | | | | | | | | | | | | | | (3139) all_16_13 = e13
% 58.23/9.26 | | | | | | | | | | | | | |
% 58.23/9.26 | | | | | | | | | | | | | | REF_CLOSE: (752), (3138), (3139) are inconsistent by
% 58.23/9.26 | | | | | | | | | | | | | | sub-proof #56.
% 58.23/9.26 | | | | | | | | | | | | | |
% 58.23/9.26 | | | | | | | | | | | | | Case 2:
% 58.23/9.26 | | | | | | | | | | | | | |
% 58.23/9.26 | | | | | | | | | | | | | | (3140) all_16_13 = e12 | all_16_13 = e11 | all_16_13 =
% 58.23/9.26 | | | | | | | | | | | | | | e10
% 58.23/9.26 | | | | | | | | | | | | | |
% 58.23/9.26 | | | | | | | | | | | | | | BETA: splitting (3140) gives:
% 58.23/9.26 | | | | | | | | | | | | | |
% 58.23/9.26 | | | | | | | | | | | | | | Case 1:
% 58.23/9.26 | | | | | | | | | | | | | | |
% 58.23/9.26 | | | | | | | | | | | | | | | (3141) all_16_13 = e10
% 58.23/9.26 | | | | | | | | | | | | | | |
% 58.23/9.26 | | | | | | | | | | | | | | | COMBINE_EQS: (752), (3141) imply:
% 58.23/9.26 | | | | | | | | | | | | | | | (3142) all_12_7 = e10
% 58.23/9.26 | | | | | | | | | | | | | | |
% 58.23/9.26 | | | | | | | | | | | | | | | SIMP: (3142) implies:
% 58.23/9.26 | | | | | | | | | | | | | | | (3143) all_12_7 = e10
% 58.23/9.26 | | | | | | | | | | | | | | |
% 58.23/9.26 | | | | | | | | | | | | | | | REDUCE: (81), (3143) imply:
% 58.23/9.26 | | | | | | | | | | | | | | | (3144) ~ (all_12_6 = e10)
% 58.23/9.26 | | | | | | | | | | | | | | |
% 58.23/9.26 | | | | | | | | | | | | | | | REDUCE: (78), (3143) imply:
% 58.23/9.26 | | | | | | | | | | | | | | | (3145) ~ (all_12_11 = e10)
% 58.23/9.26 | | | | | | | | | | | | | | |
% 58.23/9.26 | | | | | | | | | | | | | | | SIMP: (3145) implies:
% 58.23/9.26 | | | | | | | | | | | | | | | (3146) ~ (all_12_11 = e10)
% 58.23/9.26 | | | | | | | | | | | | | | |
% 58.23/9.26 | | | | | | | | | | | | | | | BETA: splitting (204) gives:
% 58.23/9.26 | | | | | | | | | | | | | | |
% 58.23/9.26 | | | | | | | | | | | | | | | Case 1:
% 58.23/9.26 | | | | | | | | | | | | | | | |
% 58.23/9.26 | | | | | | | | | | | | | | | | (3147) all_16_14 = e13
% 58.23/9.26 | | | | | | | | | | | | | | | |
% 58.23/9.26 | | | | | | | | | | | | | | | | COMBINE_EQS: (758), (3147) imply:
% 58.23/9.26 | | | | | | | | | | | | | | | | (3148) all_12_11 = e13
% 58.23/9.26 | | | | | | | | | | | | | | | |
% 58.23/9.26 | | | | | | | | | | | | | | | | COMBINE_EQS: (705), (3148) imply:
% 58.23/9.26 | | | | | | | | | | | | | | | | (3149) all_20_23 = e13
% 58.23/9.26 | | | | | | | | | | | | | | | |
% 58.23/9.26 | | | | | | | | | | | | | | | | REDUCE: (69), (3148) imply:
% 58.23/9.26 | | | | | | | | | | | | | | | | (3150) ~ (all_12_10 = e13)
% 58.23/9.26 | | | | | | | | | | | | | | | |
% 58.23/9.26 | | | | | | | | | | | | | | | | BETA: splitting (208) gives:
% 58.23/9.26 | | | | | | | | | | | | | | | |
% 58.23/9.26 | | | | | | | | | | | | | | | | Case 1:
% 58.23/9.26 | | | | | | | | | | | | | | | | |
% 58.23/9.26 | | | | | | | | | | | | | | | | | (3151) all_16_9 = e13
% 58.23/9.26 | | | | | | | | | | | | | | | | |
% 58.23/9.26 | | | | | | | | | | | | | | | | | REF_CLOSE: (750), (3136), (3151) are inconsistent by
% 58.23/9.26 | | | | | | | | | | | | | | | | | sub-proof #71.
% 58.23/9.26 | | | | | | | | | | | | | | | | |
% 58.23/9.26 | | | | | | | | | | | | | | | | Case 2:
% 58.23/9.26 | | | | | | | | | | | | | | | | |
% 58.23/9.26 | | | | | | | | | | | | | | | | | (3152) all_16_9 = e12 | all_16_9 = e11 | all_16_9 = e10
% 58.23/9.26 | | | | | | | | | | | | | | | | |
% 58.23/9.26 | | | | | | | | | | | | | | | | | BETA: splitting (278) gives:
% 58.23/9.26 | | | | | | | | | | | | | | | | |
% 58.23/9.26 | | | | | | | | | | | | | | | | | Case 1:
% 58.23/9.26 | | | | | | | | | | | | | | | | | |
% 58.41/9.26 | | | | | | | | | | | | | | | | | | (3153) (all_20_1 = e12 & all_20_9 = e13 & ~ (all_20_3 =
% 58.41/9.26 | | | | | | | | | | | | | | | | | | e13) & ~ (all_20_11 = e12) & ~ (all_20_19 =
% 58.41/9.26 | | | | | | | | | | | | | | | | | | e11) & ~ (all_20_27 = e10)) | (all_20_1 = e11
% 58.41/9.26 | | | | | | | | | | | | | | | | | | & all_20_17 = e13 & ~ (all_20_5 = e13) & ~
% 58.41/9.26 | | | | | | | | | | | | | | | | | | (all_20_13 = e12) & ~ (all_20_21 = e11) & ~
% 58.41/9.26 | | | | | | | | | | | | | | | | | | (all_20_29 = e10)) | (all_20_1 = e10 & all_20_25
% 58.41/9.26 | | | | | | | | | | | | | | | | | | = e13 & ~ (all_20_7 = e13) & ~ (all_20_15 =
% 58.41/9.26 | | | | | | | | | | | | | | | | | | e12) & ~ (all_20_23 = e11) & ~ (all_20_31 =
% 58.41/9.27 | | | | | | | | | | | | | | | | | | e10)) | (all_20_3 = e12 & all_20_11 = e13 & ~
% 58.41/9.27 | | | | | | | | | | | | | | | | | | (all_20_1 = e13) & ~ (all_20_9 = e12) & ~
% 58.41/9.27 | | | | | | | | | | | | | | | | | | (all_20_17 = e11) & ~ (all_20_25 = e10)) |
% 58.41/9.27 | | | | | | | | | | | | | | | | | | (all_20_5 = e11 & all_20_21 = e13 & ~ (all_20_1 =
% 58.41/9.27 | | | | | | | | | | | | | | | | | | e13) & ~ (all_20_9 = e12) & ~ (all_20_17 =
% 58.41/9.27 | | | | | | | | | | | | | | | | | | e11) & ~ (all_20_25 = e10)) | (all_20_7 = e10
% 58.41/9.27 | | | | | | | | | | | | | | | | | | & all_20_31 = e13 & ~ (all_20_1 = e13) & ~
% 58.41/9.27 | | | | | | | | | | | | | | | | | | (all_20_9 = e12) & ~ (all_20_17 = e11) & ~
% 58.41/9.27 | | | | | | | | | | | | | | | | | | (all_20_25 = e10))
% 58.41/9.27 | | | | | | | | | | | | | | | | | |
% 58.41/9.27 | | | | | | | | | | | | | | | | | | BETA: splitting (3153) gives:
% 58.41/9.27 | | | | | | | | | | | | | | | | | |
% 58.41/9.27 | | | | | | | | | | | | | | | | | | Case 1:
% 58.41/9.27 | | | | | | | | | | | | | | | | | | |
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | (3154) (all_20_1 = e12 & all_20_9 = e13 & ~ (all_20_3 =
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | e13) & ~ (all_20_11 = e12) & ~ (all_20_19 =
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | e11) & ~ (all_20_27 = e10)) | (all_20_1 = e11
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | & all_20_17 = e13 & ~ (all_20_5 = e13) & ~
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | (all_20_13 = e12) & ~ (all_20_21 = e11) & ~
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | (all_20_29 = e10)) | (all_20_1 = e10 & all_20_25
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | = e13 & ~ (all_20_7 = e13) & ~ (all_20_15 =
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | e12) & ~ (all_20_23 = e11) & ~ (all_20_31 =
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | e10))
% 58.41/9.27 | | | | | | | | | | | | | | | | | | |
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (678), (840), (3075), (3089), (3154) are
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #53.
% 58.41/9.27 | | | | | | | | | | | | | | | | | | |
% 58.41/9.27 | | | | | | | | | | | | | | | | | | Case 2:
% 58.41/9.27 | | | | | | | | | | | | | | | | | | |
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | (3155) (all_20_3 = e12 & all_20_11 = e13 & ~ (all_20_1 =
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | e13) & ~ (all_20_9 = e12) & ~ (all_20_17 =
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | e11) & ~ (all_20_25 = e10)) | (all_20_5 = e11
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | & all_20_21 = e13 & ~ (all_20_1 = e13) & ~
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | (all_20_9 = e12) & ~ (all_20_17 = e11) & ~
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | (all_20_25 = e10)) | (all_20_7 = e10 & all_20_31
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | = e13 & ~ (all_20_1 = e13) & ~ (all_20_9 =
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | e12) & ~ (all_20_17 = e11) & ~ (all_20_25 =
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | e10))
% 58.41/9.27 | | | | | | | | | | | | | | | | | | |
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | BETA: splitting (3155) gives:
% 58.41/9.27 | | | | | | | | | | | | | | | | | | |
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | Case 1:
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | |
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | (3156) all_20_3 = e12 & all_20_11 = e13 & ~ (all_20_1 =
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_20_9 = e12) & ~ (all_20_17 =
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_20_25 = e10)
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | |
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | ALPHA: (3156) implies:
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | (3157) all_20_3 = e12
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | |
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3085), (3157) imply:
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | (3158) e13 = e12
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | |
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | REDUCE: (3089), (3158) imply:
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | (3159) $false
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | |
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | CLOSE: (3159) is inconsistent.
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | |
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | Case 2:
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | |
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | (3160) (all_20_5 = e11 & all_20_21 = e13 & ~ (all_20_1 =
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_20_9 = e12) & ~ (all_20_17 =
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_20_25 = e10)) | (all_20_7 = e10
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | & all_20_31 = e13 & ~ (all_20_1 = e13) & ~
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | (all_20_9 = e12) & ~ (all_20_17 = e11) & ~
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | (all_20_25 = e10))
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | |
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | BETA: splitting (3160) gives:
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | |
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | | (3161) all_20_5 = e11 & all_20_21 = e13 & ~ (all_20_1 =
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_20_9 = e12) & ~ (all_20_17 =
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_20_25 = e10)
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | | ALPHA: (3161) implies:
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | | (3162) all_20_21 = e13
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (693), (3162) imply:
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | | (3163) all_12_10 = e13
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | | SIMP: (3163) implies:
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | | (3164) all_12_10 = e13
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | | REDUCE: (3150), (3164) imply:
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | | (3165) $false
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | | CLOSE: (3165) is inconsistent.
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | | (3166) all_20_7 = e10 & all_20_31 = e13 & ~ (all_20_1 =
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_20_9 = e12) & ~ (all_20_17 =
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_20_25 = e10)
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (487), (840), (3166) are inconsistent by sub-proof
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | | #52.
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | End of split
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | |
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | End of split
% 58.41/9.27 | | | | | | | | | | | | | | | | | | |
% 58.41/9.27 | | | | | | | | | | | | | | | | | | End of split
% 58.41/9.27 | | | | | | | | | | | | | | | | | |
% 58.41/9.27 | | | | | | | | | | | | | | | | | Case 2:
% 58.41/9.27 | | | | | | | | | | | | | | | | | |
% 58.41/9.27 | | | | | | | | | | | | | | | | | | (3167) (all_20_11 = e11 & all_20_19 = e12 & ~ (all_20_5
% 58.41/9.27 | | | | | | | | | | | | | | | | | | = e13) & ~ (all_20_13 = e12) & ~ (all_20_21
% 58.41/9.27 | | | | | | | | | | | | | | | | | | = e11) & ~ (all_20_29 = e10)) | (all_20_11 =
% 58.41/9.27 | | | | | | | | | | | | | | | | | | e10 & all_20_27 = e12 & ~ (all_20_7 = e13) & ~
% 58.41/9.27 | | | | | | | | | | | | | | | | | | (all_20_15 = e12) & ~ (all_20_23 = e11) & ~
% 58.41/9.27 | | | | | | | | | | | | | | | | | | (all_20_31 = e10)) | (all_20_13 = e11 &
% 58.41/9.27 | | | | | | | | | | | | | | | | | | all_20_21 = e12 & ~ (all_20_3 = e13) & ~
% 58.41/9.27 | | | | | | | | | | | | | | | | | | (all_20_11 = e12) & ~ (all_20_19 = e11) & ~
% 58.41/9.27 | | | | | | | | | | | | | | | | | | (all_20_27 = e10)) | (all_20_15 = e10 &
% 58.41/9.27 | | | | | | | | | | | | | | | | | | all_20_31 = e12 & ~ (all_20_3 = e13) & ~
% 58.41/9.27 | | | | | | | | | | | | | | | | | | (all_20_11 = e12) & ~ (all_20_19 = e11) & ~
% 58.41/9.27 | | | | | | | | | | | | | | | | | | (all_20_27 = e10)) | (all_20_21 = e10 &
% 58.41/9.27 | | | | | | | | | | | | | | | | | | all_20_29 = e11 & ~ (all_20_7 = e13) & ~
% 58.41/9.27 | | | | | | | | | | | | | | | | | | (all_20_15 = e12) & ~ (all_20_23 = e11) & ~
% 58.41/9.27 | | | | | | | | | | | | | | | | | | (all_20_31 = e10)) | (all_20_23 = e10 &
% 58.41/9.27 | | | | | | | | | | | | | | | | | | all_20_31 = e11 & ~ (all_20_5 = e13) & ~
% 58.41/9.27 | | | | | | | | | | | | | | | | | | (all_20_13 = e12) & ~ (all_20_21 = e11) & ~
% 58.41/9.27 | | | | | | | | | | | | | | | | | | (all_20_29 = e10))
% 58.41/9.27 | | | | | | | | | | | | | | | | | |
% 58.41/9.27 | | | | | | | | | | | | | | | | | | BETA: splitting (3167) gives:
% 58.41/9.27 | | | | | | | | | | | | | | | | | |
% 58.41/9.27 | | | | | | | | | | | | | | | | | | Case 1:
% 58.41/9.27 | | | | | | | | | | | | | | | | | | |
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | (3168) (all_20_11 = e11 & all_20_19 = e12 & ~ (all_20_5
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_20_13 = e12) & ~ (all_20_21
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | = e11) & ~ (all_20_29 = e10)) | (all_20_11 =
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | e10 & all_20_27 = e12 & ~ (all_20_7 = e13) & ~
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | (all_20_15 = e12) & ~ (all_20_23 = e11) & ~
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | (all_20_31 = e10)) | (all_20_13 = e11 &
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | all_20_21 = e12 & ~ (all_20_3 = e13) & ~
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | (all_20_11 = e12) & ~ (all_20_19 = e11) & ~
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | (all_20_27 = e10))
% 58.41/9.27 | | | | | | | | | | | | | | | | | | |
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | BETA: splitting (3168) gives:
% 58.41/9.27 | | | | | | | | | | | | | | | | | | |
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | Case 1:
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | |
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | (3169) all_20_11 = e11 & all_20_19 = e12 & ~ (all_20_5 =
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_20_13 = e12) & ~ (all_20_21 =
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_20_29 = e10)
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | |
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | ALPHA: (3169) implies:
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | (3170) all_20_11 = e11
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | (3171) ~ (all_20_13 = e12)
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | |
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (684), (3170) imply:
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | (3172) all_12_5 = e11
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | |
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | SIMP: (3172) implies:
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | (3173) all_12_5 = e11
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | |
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | REDUCE: (692), (3171) imply:
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | (3174) ~ (all_12_6 = e12)
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | |
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (750), (3119), (3144), (3152), (3174) are
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #55.
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | |
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | Case 2:
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | |
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | (3175) (all_20_11 = e10 & all_20_27 = e12 & ~ (all_20_7
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_20_15 = e12) & ~ (all_20_23
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | = e11) & ~ (all_20_31 = e10)) | (all_20_13 =
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | e11 & all_20_21 = e12 & ~ (all_20_3 = e13) & ~
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | (all_20_11 = e12) & ~ (all_20_19 = e11) & ~
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | (all_20_27 = e10))
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | |
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | BETA: splitting (3175) gives:
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | |
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | | (3176) all_20_11 = e10 & all_20_27 = e12 & ~ (all_20_7 =
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_20_15 = e12) & ~ (all_20_23 =
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_20_31 = e10)
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | | ALPHA: (3176) implies:
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | | (3177) all_20_27 = e12
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3100), (3177) imply:
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | | (3178) e12 = e10
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | | SIMP: (3178) implies:
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | | (3179) e12 = e10
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | | REDUCE: (840), (3179) imply:
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | | (3180) $false
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | | CLOSE: (3180) is inconsistent.
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | | (3181) all_20_13 = e11 & all_20_21 = e12 & ~ (all_20_3 =
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_20_11 = e12) & ~ (all_20_19 =
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_20_27 = e10)
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | | ALPHA: (3181) implies:
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | | (3182) all_20_13 = e11
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (692), (3182) imply:
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | | (3183) all_12_6 = e11
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | | SIMP: (3183) implies:
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | | (3184) all_12_6 = e11
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | | REDUCE: (3119), (3184) imply:
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | | (3185) $false
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | | CLOSE: (3185) is inconsistent.
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | End of split
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | |
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | End of split
% 58.41/9.27 | | | | | | | | | | | | | | | | | | |
% 58.41/9.27 | | | | | | | | | | | | | | | | | | Case 2:
% 58.41/9.27 | | | | | | | | | | | | | | | | | | |
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | (3186) (all_20_15 = e10 & all_20_31 = e12 & ~ (all_20_3
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_20_11 = e12) & ~ (all_20_19
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | = e11) & ~ (all_20_27 = e10)) | (all_20_21 =
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | e10 & all_20_29 = e11 & ~ (all_20_7 = e13) & ~
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | (all_20_15 = e12) & ~ (all_20_23 = e11) & ~
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | (all_20_31 = e10)) | (all_20_23 = e10 &
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | all_20_31 = e11 & ~ (all_20_5 = e13) & ~
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | (all_20_13 = e12) & ~ (all_20_21 = e11) & ~
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | (all_20_29 = e10))
% 58.41/9.27 | | | | | | | | | | | | | | | | | | |
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | BETA: splitting (3186) gives:
% 58.41/9.27 | | | | | | | | | | | | | | | | | | |
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | Case 1:
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | |
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | (3187) all_20_15 = e10 & all_20_31 = e12 & ~ (all_20_3 =
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_20_11 = e12) & ~ (all_20_19 =
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_20_27 = e10)
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | |
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (707), (851), (3187) are inconsistent by sub-proof
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | #49.
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | |
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | Case 2:
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | |
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | (3188) (all_20_21 = e10 & all_20_29 = e11 & ~ (all_20_7
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | = e13) & ~ (all_20_15 = e12) & ~ (all_20_23
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | = e11) & ~ (all_20_31 = e10)) | (all_20_23 =
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | e10 & all_20_31 = e11 & ~ (all_20_5 = e13) & ~
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | (all_20_13 = e12) & ~ (all_20_21 = e11) & ~
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | (all_20_29 = e10))
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | |
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | BETA: splitting (3188) gives:
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | |
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | Case 1:
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | | (3189) all_20_21 = e10 & all_20_29 = e11 & ~ (all_20_7 =
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_20_15 = e12) & ~ (all_20_23 =
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_20_31 = e10)
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | | ALPHA: (3189) implies:
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | | (3190) all_20_29 = e11
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3113), (3190) imply:
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | | (3191) e13 = e11
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | | SIMP: (3191) implies:
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | | (3192) e13 = e11
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (3192) imply:
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | | (3193) $false
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | | CLOSE: (3193) is inconsistent.
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | Case 2:
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | | (3194) all_20_23 = e10 & all_20_31 = e11 & ~ (all_20_5 =
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | | e13) & ~ (all_20_13 = e12) & ~ (all_20_21 =
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | | e11) & ~ (all_20_29 = e10)
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | | ALPHA: (3194) implies:
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | | (3195) all_20_23 = e10
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (3149), (3195) imply:
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | | (3196) e13 = e10
% 58.41/9.27 | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.28 | | | | | | | | | | | | | | | | | | | | | SIMP: (3196) implies:
% 58.41/9.28 | | | | | | | | | | | | | | | | | | | | | (3197) e13 = e10
% 58.41/9.28 | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.28 | | | | | | | | | | | | | | | | | | | | | REDUCE: (3104), (3197) imply:
% 58.41/9.28 | | | | | | | | | | | | | | | | | | | | | (3198) $false
% 58.41/9.28 | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.28 | | | | | | | | | | | | | | | | | | | | | CLOSE: (3198) is inconsistent.
% 58.41/9.28 | | | | | | | | | | | | | | | | | | | | |
% 58.41/9.28 | | | | | | | | | | | | | | | | | | | | End of split
% 58.41/9.28 | | | | | | | | | | | | | | | | | | | |
% 58.41/9.28 | | | | | | | | | | | | | | | | | | | End of split
% 58.41/9.28 | | | | | | | | | | | | | | | | | | |
% 58.41/9.28 | | | | | | | | | | | | | | | | | | End of split
% 58.41/9.28 | | | | | | | | | | | | | | | | | |
% 58.41/9.28 | | | | | | | | | | | | | | | | | End of split
% 58.41/9.28 | | | | | | | | | | | | | | | | |
% 58.41/9.28 | | | | | | | | | | | | | | | | End of split
% 58.41/9.28 | | | | | | | | | | | | | | | |
% 58.41/9.28 | | | | | | | | | | | | | | | Case 2:
% 58.41/9.28 | | | | | | | | | | | | | | | |
% 58.41/9.28 | | | | | | | | | | | | | | | | (3199) all_16_14 = e12 | all_16_14 = e11 | all_16_14 =
% 58.41/9.28 | | | | | | | | | | | | | | | | e10
% 58.41/9.28 | | | | | | | | | | | | | | | |
% 58.41/9.28 | | | | | | | | | | | | | | | | BETA: splitting (3199) gives:
% 58.41/9.28 | | | | | | | | | | | | | | | |
% 58.41/9.28 | | | | | | | | | | | | | | | | Case 1:
% 58.41/9.28 | | | | | | | | | | | | | | | | |
% 58.41/9.28 | | | | | | | | | | | | | | | | | (3200) all_16_14 = e10
% 58.41/9.28 | | | | | | | | | | | | | | | | |
% 58.41/9.28 | | | | | | | | | | | | | | | | | COMBINE_EQS: (758), (3200) imply:
% 58.41/9.28 | | | | | | | | | | | | | | | | | (3201) all_12_11 = e10
% 58.41/9.28 | | | | | | | | | | | | | | | | |
% 58.41/9.28 | | | | | | | | | | | | | | | | | REDUCE: (3146), (3201) imply:
% 58.41/9.28 | | | | | | | | | | | | | | | | | (3202) $false
% 58.41/9.28 | | | | | | | | | | | | | | | | |
% 58.41/9.28 | | | | | | | | | | | | | | | | | CLOSE: (3202) is inconsistent.
% 58.41/9.28 | | | | | | | | | | | | | | | | |
% 58.41/9.28 | | | | | | | | | | | | | | | | Case 2:
% 58.41/9.28 | | | | | | | | | | | | | | | | |
% 58.41/9.28 | | | | | | | | | | | | | | | | | (3203) all_16_14 = e12 | all_16_14 = e11
% 58.41/9.28 | | | | | | | | | | | | | | | | |
% 58.41/9.28 | | | | | | | | | | | | | | | | | REF_CLOSE: (758), (850), (853), (3203) are inconsistent by
% 58.41/9.28 | | | | | | | | | | | | | | | | | sub-proof #3.
% 58.41/9.28 | | | | | | | | | | | | | | | | |
% 58.41/9.28 | | | | | | | | | | | | | | | | End of split
% 58.41/9.28 | | | | | | | | | | | | | | | |
% 58.41/9.28 | | | | | | | | | | | | | | | End of split
% 58.41/9.28 | | | | | | | | | | | | | | |
% 58.41/9.28 | | | | | | | | | | | | | | Case 2:
% 58.41/9.28 | | | | | | | | | | | | | | |
% 58.41/9.28 | | | | | | | | | | | | | | | (3204) all_16_13 = e12 | all_16_13 = e11
% 58.41/9.28 | | | | | | | | | | | | | | |
% 58.41/9.28 | | | | | | | | | | | | | | | REF_CLOSE: (752), (848), (852), (3204) are inconsistent by
% 58.41/9.28 | | | | | | | | | | | | | | | sub-proof #62.
% 58.41/9.28 | | | | | | | | | | | | | | |
% 58.41/9.28 | | | | | | | | | | | | | | End of split
% 58.41/9.28 | | | | | | | | | | | | | |
% 58.41/9.28 | | | | | | | | | | | | | End of split
% 58.41/9.28 | | | | | | | | | | | | |
% 58.41/9.28 | | | | | | | | | | | | Case 2:
% 58.41/9.28 | | | | | | | | | | | | |
% 58.41/9.28 | | | | | | | | | | | | | (3205) all_20_4 = all_20_5 | all_20_6 = all_20_7
% 58.41/9.28 | | | | | | | | | | | | |
% 58.41/9.28 | | | | | | | | | | | | | REF_CLOSE: (487), (840), (3101), (3117), (3121), (3124),
% 58.41/9.28 | | | | | | | | | | | | | (3205) are inconsistent by sub-proof #64.
% 58.41/9.28 | | | | | | | | | | | | |
% 58.41/9.28 | | | | | | | | | | | | End of split
% 58.41/9.28 | | | | | | | | | | | |
% 58.41/9.28 | | | | | | | | | | | End of split
% 58.41/9.28 | | | | | | | | | | |
% 58.41/9.28 | | | | | | | | | | Case 2:
% 58.41/9.28 | | | | | | | | | | |
% 58.41/9.28 | | | | | | | | | | | (3206) all_24_12 = e11
% 58.41/9.28 | | | | | | | | | | |
% 58.41/9.28 | | | | | | | | | | | REF_CLOSE: (782), (851), (3206) are inconsistent by sub-proof
% 58.41/9.28 | | | | | | | | | | | #59.
% 58.41/9.28 | | | | | | | | | | |
% 58.41/9.28 | | | | | | | | | | End of split
% 58.41/9.28 | | | | | | | | | |
% 58.41/9.28 | | | | | | | | | Case 2:
% 58.41/9.28 | | | | | | | | | |
% 58.41/9.28 | | | | | | | | | | (3207) ~ (all_16_11 = e13)
% 58.41/9.28 | | | | | | | | | |
% 58.41/9.28 | | | | | | | | | | REDUCE: (762), (3207) imply:
% 58.41/9.28 | | | | | | | | | | (3208) ~ (all_12_14 = e13)
% 58.41/9.28 | | | | | | | | | |
% 58.41/9.28 | | | | | | | | | | BETA: splitting (338) gives:
% 58.41/9.28 | | | | | | | | | |
% 58.41/9.28 | | | | | | | | | | Case 1:
% 58.41/9.28 | | | | | | | | | | |
% 58.41/9.28 | | | | | | | | | | | (3209) all_24_9 = e13
% 58.41/9.28 | | | | | | | | | | |
% 58.41/9.28 | | | | | | | | | | | COMBINE_EQS: (3076), (3209) imply:
% 58.41/9.28 | | | | | | | | | | | (3210) e13 = e12
% 58.41/9.28 | | | | | | | | | | |
% 58.41/9.28 | | | | | | | | | | | REDUCE: (3089), (3210) imply:
% 58.41/9.28 | | | | | | | | | | | (3211) $false
% 58.41/9.28 | | | | | | | | | | |
% 58.41/9.28 | | | | | | | | | | | CLOSE: (3211) is inconsistent.
% 58.41/9.28 | | | | | | | | | | |
% 58.41/9.28 | | | | | | | | | | Case 2:
% 58.41/9.28 | | | | | | | | | | |
% 58.41/9.28 | | | | | | | | | | | (3212) all_24_10 = e13 | all_24_11 = e13 | all_24_15 =
% 58.41/9.28 | | | | | | | | | | | e13
% 58.41/9.28 | | | | | | | | | | |
% 58.41/9.28 | | | | | | | | | | | BETA: splitting (3212) gives:
% 58.41/9.28 | | | | | | | | | | |
% 58.41/9.28 | | | | | | | | | | | Case 1:
% 58.41/9.28 | | | | | | | | | | | |
% 58.41/9.28 | | | | | | | | | | | | (3213) all_24_10 = e13
% 58.41/9.28 | | | | | | | | | | | |
% 58.41/9.28 | | | | | | | | | | | | COMBINE_EQS: (3102), (3213) imply:
% 58.41/9.28 | | | | | | | | | | | | (3214) e13 = e10
% 58.41/9.28 | | | | | | | | | | | |
% 58.41/9.28 | | | | | | | | | | | | REDUCE: (3104), (3214) imply:
% 58.41/9.28 | | | | | | | | | | | | (3215) $false
% 58.41/9.28 | | | | | | | | | | | |
% 58.41/9.28 | | | | | | | | | | | | CLOSE: (3215) is inconsistent.
% 58.41/9.28 | | | | | | | | | | | |
% 58.41/9.28 | | | | | | | | | | | Case 2:
% 58.41/9.28 | | | | | | | | | | | |
% 58.41/9.28 | | | | | | | | | | | | (3216) all_24_11 = e13 | all_24_15 = e13
% 58.41/9.28 | | | | | | | | | | | |
% 58.41/9.28 | | | | | | | | | | | | REF_CLOSE: (8), (475), (634), (3208), (3216) are inconsistent
% 58.41/9.28 | | | | | | | | | | | | by sub-proof #1.
% 58.41/9.28 | | | | | | | | | | | |
% 58.41/9.28 | | | | | | | | | | | End of split
% 58.41/9.28 | | | | | | | | | | |
% 58.41/9.28 | | | | | | | | | | End of split
% 58.41/9.28 | | | | | | | | | |
% 58.41/9.28 | | | | | | | | | End of split
% 58.41/9.28 | | | | | | | | |
% 58.41/9.28 | | | | | | | | End of split
% 58.41/9.28 | | | | | | | |
% 58.41/9.28 | | | | | | | End of split
% 58.41/9.28 | | | | | | |
% 58.41/9.28 | | | | | | Case 2:
% 58.41/9.28 | | | | | | |
% 58.41/9.28 | | | | | | | (3217) all_16_7 = e12 | all_16_7 = e11
% 58.41/9.28 | | | | | | |
% 58.41/9.28 | | | | | | | BETA: splitting (3217) gives:
% 58.41/9.28 | | | | | | |
% 58.41/9.28 | | | | | | | Case 1:
% 58.41/9.28 | | | | | | | |
% 58.41/9.28 | | | | | | | | (3218) all_16_7 = e12
% 58.41/9.28 | | | | | | | |
% 58.41/9.28 | | | | | | | | COMBINE_EQS: (761), (3218) imply:
% 58.41/9.28 | | | | | | | | (3219) all_12_13 = e12
% 58.41/9.28 | | | | | | | |
% 58.41/9.28 | | | | | | | | SIMP: (3219) implies:
% 58.41/9.28 | | | | | | | | (3220) all_12_13 = e12
% 58.41/9.28 | | | | | | | |
% 58.41/9.28 | | | | | | | | REDUCE: (3079), (3220) imply:
% 58.41/9.28 | | | | | | | | (3221) $false
% 58.41/9.28 | | | | | | | |
% 58.41/9.28 | | | | | | | | CLOSE: (3221) is inconsistent.
% 58.41/9.28 | | | | | | | |
% 58.41/9.28 | | | | | | | Case 2:
% 58.41/9.28 | | | | | | | |
% 58.41/9.28 | | | | | | | | (3222) all_16_7 = e11
% 58.41/9.28 | | | | | | | |
% 58.41/9.28 | | | | | | | | COMBINE_EQS: (761), (3222) imply:
% 58.41/9.28 | | | | | | | | (3223) all_12_13 = e11
% 58.41/9.28 | | | | | | | |
% 58.41/9.28 | | | | | | | | SIMP: (3223) implies:
% 58.41/9.28 | | | | | | | | (3224) all_12_13 = e11
% 58.41/9.28 | | | | | | | |
% 58.41/9.28 | | | | | | | | REDUCE: (855), (3224) imply:
% 58.41/9.28 | | | | | | | | (3225) $false
% 58.41/9.28 | | | | | | | |
% 58.41/9.28 | | | | | | | | CLOSE: (3225) is inconsistent.
% 58.41/9.28 | | | | | | | |
% 58.41/9.28 | | | | | | | End of split
% 58.41/9.28 | | | | | | |
% 58.41/9.28 | | | | | | End of split
% 58.41/9.28 | | | | | |
% 58.41/9.28 | | | | | End of split
% 58.41/9.28 | | | | |
% 58.41/9.28 | | | | Case 2:
% 58.41/9.28 | | | | |
% 58.41/9.28 | | | | | (3226) all_16_4 = e12 | all_16_4 = e11 | all_16_4 = e10
% 58.41/9.28 | | | | |
% 58.41/9.28 | | | | | BETA: splitting (3226) gives:
% 58.41/9.28 | | | | |
% 58.41/9.28 | | | | | Case 1:
% 58.41/9.28 | | | | | |
% 58.41/9.28 | | | | | | (3227) all_16_4 = e10
% 58.41/9.28 | | | | | |
% 58.41/9.28 | | | | | | REF_CLOSE: (741), (836), (3227) are inconsistent by sub-proof #58.
% 58.41/9.28 | | | | | |
% 58.41/9.28 | | | | | Case 2:
% 58.41/9.28 | | | | | |
% 58.41/9.28 | | | | | | (3228) all_16_4 = e12 | all_16_4 = e11
% 58.41/9.28 | | | | | |
% 58.41/9.28 | | | | | | BETA: splitting (3228) gives:
% 58.41/9.28 | | | | | |
% 58.41/9.28 | | | | | | Case 1:
% 58.41/9.28 | | | | | | |
% 58.41/9.28 | | | | | | | (3229) all_16_4 = e12
% 58.41/9.28 | | | | | | |
% 58.41/9.28 | | | | | | | REF_CLOSE: (741), (845), (3229) are inconsistent by sub-proof #57.
% 58.41/9.28 | | | | | | |
% 58.41/9.28 | | | | | | Case 2:
% 58.41/9.28 | | | | | | |
% 58.41/9.28 | | | | | | | (3230) all_16_4 = e11
% 58.41/9.28 | | | | | | |
% 58.41/9.28 | | | | | | | COMBINE_EQS: (741), (3230) imply:
% 58.41/9.28 | | | | | | | (3231) all_12_1 = e11
% 58.41/9.28 | | | | | | |
% 58.41/9.28 | | | | | | | SIMP: (3231) implies:
% 58.41/9.28 | | | | | | | (3232) all_12_1 = e11
% 58.41/9.28 | | | | | | |
% 58.41/9.28 | | | | | | | COMBINE_EQS: (681), (3232) imply:
% 58.41/9.28 | | | | | | | (3233) all_20_3 = e11
% 58.41/9.28 | | | | | | |
% 58.41/9.28 | | | | | | | REDUCE: (102), (3232) imply:
% 58.41/9.28 | | | | | | | (3234) ~ (all_12_2 = e11)
% 58.41/9.28 | | | | | | |
% 58.41/9.28 | | | | | | | SIMP: (3234) implies:
% 58.41/9.28 | | | | | | | (3235) ~ (all_12_2 = e11)
% 58.41/9.28 | | | | | | |
% 58.41/9.28 | | | | | | | REDUCE: (100), (3232) imply:
% 58.41/9.28 | | | | | | | (3236) ~ (all_12_5 = e11)
% 58.41/9.28 | | | | | | |
% 58.41/9.28 | | | | | | | SIMP: (3236) implies:
% 58.41/9.28 | | | | | | | (3237) ~ (all_12_5 = e11)
% 58.41/9.28 | | | | | | |
% 58.41/9.28 | | | | | | | REDUCE: (98), (3232) imply:
% 58.41/9.28 | | | | | | | (3238) ~ (all_12_13 = e11)
% 58.41/9.28 | | | | | | |
% 58.41/9.28 | | | | | | | REDUCE: (845), (3232) imply:
% 58.41/9.28 | | | | | | | (3239) ~ (e12 = e11)
% 58.41/9.28 | | | | | | |
% 58.41/9.28 | | | | | | | BETA: splitting (209) gives:
% 58.41/9.28 | | | | | | |
% 58.41/9.28 | | | | | | | Case 1:
% 58.41/9.28 | | | | | | | |
% 58.41/9.28 | | | | | | | | (3240) all_16_8 = e13
% 58.41/9.28 | | | | | | | |
% 58.41/9.28 | | | | | | | | COMBINE_EQS: (742), (3240) imply:
% 58.41/9.28 | | | | | | | | (3241) all_12_2 = e13
% 58.41/9.28 | | | | | | | |
% 58.41/9.28 | | | | | | | | SIMP: (3241) implies:
% 58.41/9.28 | | | | | | | | (3242) all_12_2 = e13
% 58.41/9.28 | | | | | | | |
% 58.41/9.28 | | | | | | | | COMBINE_EQS: (690), (3242) imply:
% 58.41/9.28 | | | | | | | | (3243) all_20_5 = e13
% 58.41/9.28 | | | | | | | |
% 58.41/9.28 | | | | | | | | REDUCE: (94), (3242) imply:
% 58.41/9.28 | | | | | | | | (3244) ~ (all_12_14 = e13)
% 58.41/9.28 | | | | | | | |
% 58.41/9.28 | | | | | | | | SIMP: (3244) implies:
% 58.41/9.28 | | | | | | | | (3245) ~ (all_12_14 = e13)
% 58.41/9.28 | | | | | | | |
% 58.41/9.28 | | | | | | | | REDUCE: (846), (3242) imply:
% 58.41/9.28 | | | | | | | | (3246) ~ (e13 = e12)
% 58.41/9.28 | | | | | | | |
% 58.41/9.28 | | | | | | | | BETA: splitting (338) gives:
% 58.41/9.28 | | | | | | | |
% 58.41/9.28 | | | | | | | | Case 1:
% 58.41/9.28 | | | | | | | | |
% 58.41/9.28 | | | | | | | | | (3247) all_24_9 = e13
% 58.41/9.28 | | | | | | | | |
% 58.41/9.28 | | | | | | | | | COMBINE_EQS: (3076), (3247) imply:
% 58.41/9.28 | | | | | | | | | (3248) e13 = e12
% 58.41/9.28 | | | | | | | | |
% 58.41/9.28 | | | | | | | | | REDUCE: (3246), (3248) imply:
% 58.41/9.28 | | | | | | | | | (3249) $false
% 58.41/9.28 | | | | | | | | |
% 58.41/9.28 | | | | | | | | | CLOSE: (3249) is inconsistent.
% 58.41/9.28 | | | | | | | | |
% 58.41/9.28 | | | | | | | | Case 2:
% 58.41/9.28 | | | | | | | | |
% 58.41/9.28 | | | | | | | | | (3250) all_24_10 = e13 | all_24_11 = e13 | all_24_15 = e13
% 58.41/9.28 | | | | | | | | |
% 58.41/9.28 | | | | | | | | | BETA: splitting (3250) gives:
% 58.41/9.28 | | | | | | | | |
% 58.41/9.28 | | | | | | | | | Case 1:
% 58.41/9.28 | | | | | | | | | |
% 58.41/9.28 | | | | | | | | | | (3251) all_24_10 = e13
% 58.41/9.28 | | | | | | | | | |
% 58.41/9.28 | | | | | | | | | | COMBINE_EQS: (625), (3251) imply:
% 58.41/9.28 | | | | | | | | | | (3252) all_12_13 = e13
% 58.41/9.28 | | | | | | | | | |
% 58.41/9.28 | | | | | | | | | | SIMP: (3252) implies:
% 58.41/9.28 | | | | | | | | | | (3253) all_12_13 = e13
% 58.41/9.28 | | | | | | | | | |
% 58.41/9.28 | | | | | | | | | | COMBINE_EQS: (698), (3253) imply:
% 58.41/9.28 | | | | | | | | | | (3254) all_20_27 = e13
% 58.41/9.28 | | | | | | | | | |
% 58.41/9.28 | | | | | | | | | | REF_CLOSE: (8), (81), (84), (85), (88), (89), (90), (205),
% 58.41/9.28 | | | | | | | | | | (206), (211), (214), (278), (487), (678), (684),
% 58.41/9.28 | | | | | | | | | | (692), (700), (707), (746), (748), (752), (762),
% 58.41/9.28 | | | | | | | | | | (842), (848), (851), (856), (3075), (3077),
% 58.41/9.28 | | | | | | | | | | (3081), (3233), (3237), (3243), (3245), (3246),
% 58.41/9.28 | | | | | | | | | | (3254) are inconsistent by sub-proof #48.
% 58.41/9.28 | | | | | | | | | |
% 58.41/9.28 | | | | | | | | | Case 2:
% 58.41/9.28 | | | | | | | | | |
% 58.41/9.28 | | | | | | | | | | (3255) all_24_11 = e13 | all_24_15 = e13
% 58.41/9.28 | | | | | | | | | |
% 58.41/9.28 | | | | | | | | | | REF_CLOSE: (8), (475), (634), (3245), (3255) are inconsistent
% 58.41/9.28 | | | | | | | | | | by sub-proof #1.
% 58.41/9.28 | | | | | | | | | |
% 58.41/9.28 | | | | | | | | | End of split
% 58.41/9.28 | | | | | | | | |
% 58.41/9.28 | | | | | | | | End of split
% 58.41/9.28 | | | | | | | |
% 58.41/9.28 | | | | | | | Case 2:
% 58.41/9.28 | | | | | | | |
% 58.41/9.29 | | | | | | | | (3256) all_16_8 = e12 | all_16_8 = e11 | all_16_8 = e10
% 58.41/9.29 | | | | | | | |
% 58.41/9.29 | | | | | | | | REF_CLOSE: (742), (838), (846), (3235), (3256) are inconsistent
% 58.41/9.29 | | | | | | | | by sub-proof #2.
% 58.41/9.29 | | | | | | | |
% 58.41/9.29 | | | | | | | End of split
% 58.41/9.29 | | | | | | |
% 58.41/9.29 | | | | | | End of split
% 58.41/9.29 | | | | | |
% 58.41/9.29 | | | | | End of split
% 58.41/9.29 | | | | |
% 58.41/9.29 | | | | End of split
% 58.41/9.29 | | | |
% 58.41/9.29 | | | Case 2:
% 58.41/9.29 | | | |
% 58.41/9.29 | | | | (3257) all_16_3 = e11
% 58.41/9.29 | | | |
% 58.41/9.29 | | | | COMBINE_EQS: (760), (3257) imply:
% 58.41/9.29 | | | | (3258) all_12_12 = e11
% 58.41/9.29 | | | |
% 58.41/9.29 | | | | SIMP: (3258) implies:
% 58.41/9.29 | | | | (3259) all_12_12 = e11
% 58.41/9.29 | | | |
% 58.41/9.29 | | | | REDUCE: (854), (3259) imply:
% 58.41/9.29 | | | | (3260) $false
% 58.41/9.29 | | | |
% 58.41/9.29 | | | | CLOSE: (3260) is inconsistent.
% 58.41/9.29 | | | |
% 58.41/9.29 | | | End of split
% 58.41/9.29 | | |
% 58.41/9.29 | | End of split
% 58.41/9.29 | |
% 58.41/9.29 | End of split
% 58.41/9.29 |
% 58.41/9.29 End of proof
% 58.41/9.29
% 58.41/9.29 Sub-proof #1 shows that the following formulas are inconsistent:
% 58.41/9.29 ----------------------------------------------------------------
% 58.41/9.29 (1) all_24_11 = e13 | all_24_15 = e13
% 58.41/9.29 (2) ~ (e13 = e11)
% 58.41/9.29 (3) all_24_11 = all_12_14
% 58.41/9.29 (4) all_24_15 = e11
% 58.41/9.29 (5) ~ (all_12_14 = e13)
% 58.41/9.29
% 58.41/9.29 Begin of proof
% 58.41/9.29 |
% 58.41/9.29 | BETA: splitting (1) gives:
% 58.41/9.29 |
% 58.41/9.29 | Case 1:
% 58.41/9.29 | |
% 58.41/9.29 | | (6) all_24_11 = e13
% 58.41/9.29 | |
% 58.41/9.29 | | COMBINE_EQS: (3), (6) imply:
% 58.41/9.29 | | (7) all_12_14 = e13
% 58.41/9.29 | |
% 58.41/9.29 | | SIMP: (7) implies:
% 58.41/9.29 | | (8) all_12_14 = e13
% 58.41/9.29 | |
% 58.41/9.29 | | REDUCE: (5), (8) imply:
% 58.41/9.29 | | (9) $false
% 58.41/9.29 | |
% 58.41/9.29 | | CLOSE: (9) is inconsistent.
% 58.41/9.29 | |
% 58.41/9.29 | Case 2:
% 58.41/9.29 | |
% 58.41/9.29 | | (10) all_24_15 = e13
% 58.41/9.29 | |
% 58.41/9.29 | | COMBINE_EQS: (4), (10) imply:
% 58.41/9.29 | | (11) e13 = e11
% 58.41/9.29 | |
% 58.41/9.29 | | REDUCE: (2), (11) imply:
% 58.41/9.29 | | (12) $false
% 58.41/9.29 | |
% 58.41/9.29 | | CLOSE: (12) is inconsistent.
% 58.41/9.29 | |
% 58.41/9.29 | End of split
% 58.41/9.29 |
% 58.41/9.29 End of proof
% 58.41/9.29
% 58.41/9.29 Sub-proof #2 shows that the following formulas are inconsistent:
% 58.41/9.29 ----------------------------------------------------------------
% 58.41/9.29 (1) ~ (all_12_2 = e10)
% 58.41/9.29 (2) ~ (all_12_2 = e11)
% 58.41/9.29 (3) all_16_8 = all_12_2
% 58.41/9.29 (4) all_16_8 = e12 | all_16_8 = e11 | all_16_8 = e10
% 58.41/9.29 (5) ~ (all_12_2 = e12)
% 58.41/9.29
% 58.41/9.29 Begin of proof
% 58.41/9.29 |
% 58.41/9.29 | BETA: splitting (4) gives:
% 58.41/9.29 |
% 58.41/9.29 | Case 1:
% 58.41/9.29 | |
% 58.41/9.29 | | (6) all_16_8 = e10
% 58.41/9.29 | |
% 58.41/9.29 | | COMBINE_EQS: (3), (6) imply:
% 58.41/9.29 | | (7) all_12_2 = e10
% 58.41/9.29 | |
% 58.41/9.29 | | SIMP: (7) implies:
% 58.41/9.29 | | (8) all_12_2 = e10
% 58.41/9.29 | |
% 58.41/9.29 | | REDUCE: (1), (8) imply:
% 58.41/9.29 | | (9) $false
% 58.41/9.29 | |
% 58.41/9.29 | | CLOSE: (9) is inconsistent.
% 58.41/9.29 | |
% 58.41/9.29 | Case 2:
% 58.41/9.29 | |
% 58.41/9.29 | | (10) all_16_8 = e12 | all_16_8 = e11
% 58.41/9.29 | |
% 58.41/9.29 | | BETA: splitting (10) gives:
% 58.41/9.29 | |
% 58.41/9.29 | | Case 1:
% 58.41/9.29 | | |
% 58.41/9.29 | | | (11) all_16_8 = e12
% 58.41/9.29 | | |
% 58.41/9.29 | | | COMBINE_EQS: (3), (11) imply:
% 58.41/9.29 | | | (12) all_12_2 = e12
% 58.41/9.29 | | |
% 58.41/9.29 | | | SIMP: (12) implies:
% 58.41/9.29 | | | (13) all_12_2 = e12
% 58.41/9.29 | | |
% 58.41/9.29 | | | REDUCE: (5), (13) imply:
% 58.41/9.29 | | | (14) $false
% 58.41/9.29 | | |
% 58.41/9.29 | | | CLOSE: (14) is inconsistent.
% 58.41/9.29 | | |
% 58.41/9.29 | | Case 2:
% 58.41/9.29 | | |
% 58.41/9.29 | | | (15) all_16_8 = e11
% 58.41/9.29 | | |
% 58.41/9.29 | | | COMBINE_EQS: (3), (15) imply:
% 58.41/9.29 | | | (16) all_12_2 = e11
% 58.41/9.29 | | |
% 58.41/9.29 | | | SIMP: (16) implies:
% 58.41/9.29 | | | (17) all_12_2 = e11
% 58.41/9.29 | | |
% 58.41/9.29 | | | REDUCE: (2), (17) imply:
% 58.41/9.29 | | | (18) $false
% 58.41/9.29 | | |
% 58.41/9.29 | | | CLOSE: (18) is inconsistent.
% 58.41/9.29 | | |
% 58.41/9.29 | | End of split
% 58.41/9.29 | |
% 58.41/9.29 | End of split
% 58.41/9.29 |
% 58.41/9.29 End of proof
% 58.41/9.29
% 58.41/9.29 Sub-proof #3 shows that the following formulas are inconsistent:
% 58.41/9.29 ----------------------------------------------------------------
% 58.41/9.29 (1) all_16_14 = e12 | all_16_14 = e11
% 58.41/9.29 (2) all_16_14 = all_12_11
% 58.41/9.29 (3) ~ (all_12_11 = e12)
% 58.41/9.29 (4) ~ (all_12_11 = e11)
% 58.41/9.29
% 58.41/9.29 Begin of proof
% 58.41/9.29 |
% 58.41/9.29 | BETA: splitting (1) gives:
% 58.41/9.29 |
% 58.41/9.29 | Case 1:
% 58.41/9.29 | |
% 58.41/9.29 | | (5) all_16_14 = e12
% 58.41/9.29 | |
% 58.41/9.29 | | COMBINE_EQS: (2), (5) imply:
% 58.41/9.29 | | (6) all_12_11 = e12
% 58.41/9.29 | |
% 58.41/9.29 | | REDUCE: (3), (6) imply:
% 58.41/9.29 | | (7) $false
% 58.41/9.29 | |
% 58.41/9.29 | | CLOSE: (7) is inconsistent.
% 58.41/9.29 | |
% 58.41/9.29 | Case 2:
% 58.41/9.29 | |
% 58.41/9.29 | | (8) all_16_14 = e11
% 58.41/9.29 | |
% 58.41/9.29 | | COMBINE_EQS: (2), (8) imply:
% 58.41/9.29 | | (9) all_12_11 = e11
% 58.41/9.29 | |
% 58.41/9.29 | | REDUCE: (4), (9) imply:
% 58.41/9.29 | | (10) $false
% 58.41/9.29 | |
% 58.41/9.29 | | CLOSE: (10) is inconsistent.
% 58.41/9.29 | |
% 58.41/9.29 | End of split
% 58.41/9.29 |
% 58.41/9.29 End of proof
% 58.41/9.29
% 58.41/9.29 Sub-proof #4 shows that the following formulas are inconsistent:
% 58.41/9.29 ----------------------------------------------------------------
% 58.41/9.29 (1) all_26_4 = e23 | all_26_9 = e23
% 58.41/9.29 (2) all_26_9 = all_14_12
% 58.41/9.29 (3) ~ (all_14_8 = e23)
% 58.41/9.29 (4) all_26_4 = all_14_8
% 58.41/9.29 (5) ~ (all_14_12 = e23)
% 58.41/9.29
% 58.41/9.29 Begin of proof
% 58.41/9.29 |
% 58.41/9.29 | BETA: splitting (1) gives:
% 58.41/9.29 |
% 58.41/9.29 | Case 1:
% 58.41/9.29 | |
% 58.41/9.29 | | (6) all_26_4 = e23
% 58.41/9.29 | |
% 58.41/9.29 | | COMBINE_EQS: (4), (6) imply:
% 58.41/9.29 | | (7) all_14_8 = e23
% 58.41/9.29 | |
% 58.41/9.29 | | SIMP: (7) implies:
% 58.41/9.29 | | (8) all_14_8 = e23
% 58.41/9.29 | |
% 58.41/9.29 | | REDUCE: (3), (8) imply:
% 58.41/9.29 | | (9) $false
% 58.41/9.29 | |
% 58.41/9.29 | | CLOSE: (9) is inconsistent.
% 58.41/9.29 | |
% 58.41/9.29 | Case 2:
% 58.41/9.29 | |
% 58.41/9.29 | | (10) all_26_9 = e23
% 58.41/9.29 | |
% 58.41/9.29 | | COMBINE_EQS: (2), (10) imply:
% 58.41/9.29 | | (11) all_14_12 = e23
% 58.41/9.29 | |
% 58.41/9.29 | | SIMP: (11) implies:
% 58.41/9.29 | | (12) all_14_12 = e23
% 58.41/9.29 | |
% 58.41/9.29 | | REDUCE: (5), (12) imply:
% 58.41/9.29 | | (13) $false
% 58.41/9.29 | |
% 58.41/9.29 | | CLOSE: (13) is inconsistent.
% 58.41/9.29 | |
% 58.41/9.29 | End of split
% 58.41/9.29 |
% 58.41/9.29 End of proof
% 58.41/9.29
% 58.41/9.29 Sub-proof #5 shows that the following formulas are inconsistent:
% 58.41/9.29 ----------------------------------------------------------------
% 58.41/9.29 (1) all_26_0 = e23
% 58.41/9.29 (2) all_26_0 = e20
% 58.41/9.29 (3) ~ (e23 = e20)
% 58.41/9.29
% 58.41/9.29 Begin of proof
% 58.41/9.29 |
% 58.41/9.29 | COMBINE_EQS: (1), (2) imply:
% 58.41/9.29 | (4) e23 = e20
% 58.41/9.29 |
% 58.41/9.29 | SIMP: (4) implies:
% 58.41/9.29 | (5) e23 = e20
% 58.41/9.29 |
% 58.41/9.29 | REDUCE: (3), (5) imply:
% 58.41/9.29 | (6) $false
% 58.41/9.29 |
% 58.41/9.29 | CLOSE: (6) is inconsistent.
% 58.41/9.29 |
% 58.41/9.29 End of proof
% 58.41/9.29
% 58.41/9.29 Sub-proof #6 shows that the following formulas are inconsistent:
% 58.41/9.29 ----------------------------------------------------------------
% 58.41/9.29 (1) all_22_29 = all_10_0
% 58.41/9.29 (2) all_22_3 = e23
% 58.41/9.29 (3) ~ (e21 = e20)
% 58.41/9.29 (4) all_22_23 = e23
% 58.41/9.29 (5) all_22_7 = e22
% 58.41/9.29 (6) ~ (all_14_6 = all_10_0)
% 58.41/9.29 (7) all_18_9 = e23 | all_18_9 = e22 | all_18_9 = e21 | all_18_9 = e20
% 58.41/9.29 (8) ~ (e23 = e21)
% 58.41/9.29 (9) all_26_11 = all_10_0
% 58.41/9.29 (10) all_22_1 = e20
% 58.41/9.29 (11) ~ (all_14_12 = all_10_0)
% 58.41/9.29 (12) all_26_8 = all_4_2
% 58.41/9.29 (13) ~ (all_14_6 = e21)
% 58.41/9.29 (14) ~ (all_10_0 = all_4_2)
% 58.41/9.29 (15) all_22_13 = all_14_6
% 58.41/9.29 (16) ~ (all_4_2 = e23)
% 58.41/9.29 (17) all_22_21 = all_4_2
% 58.41/9.29 (18) (all_22_1 = e22 & all_22_9 = e23 & ~ (all_22_3 = e23) & ~ (all_22_11 =
% 58.41/9.29 e22) & ~ (all_22_19 = e21) & ~ (all_22_27 = e20)) | (all_22_1 =
% 58.41/9.29 e21 & all_22_17 = e23 & ~ (all_22_5 = e23) & ~ (all_22_13 = e22) &
% 58.41/9.29 ~ (all_22_21 = e21) & ~ (all_22_29 = e20)) | (all_22_1 = e20 &
% 58.41/9.29 all_22_25 = e23 & ~ (all_22_7 = e23) & ~ (all_22_15 = e22) & ~
% 58.41/9.29 (all_22_23 = e21) & ~ (all_22_31 = e20)) | (all_22_3 = e22 &
% 58.41/9.29 all_22_11 = e23 & ~ (all_22_1 = e23) & ~ (all_22_9 = e22) & ~
% 58.41/9.29 (all_22_17 = e21) & ~ (all_22_25 = e20)) | (all_22_5 = e21 &
% 58.41/9.29 all_22_21 = e23 & ~ (all_22_1 = e23) & ~ (all_22_9 = e22) & ~
% 58.41/9.29 (all_22_17 = e21) & ~ (all_22_25 = e20)) | (all_22_7 = e20 &
% 58.41/9.29 all_22_31 = e23 & ~ (all_22_1 = e23) & ~ (all_22_9 = e22) & ~
% 58.41/9.29 (all_22_17 = e21) & ~ (all_22_25 = e20)) | (all_22_11 = e21 &
% 58.41/9.29 all_22_19 = e22 & ~ (all_22_5 = e23) & ~ (all_22_13 = e22) & ~
% 58.41/9.29 (all_22_21 = e21) & ~ (all_22_29 = e20)) | (all_22_11 = e20 &
% 58.41/9.29 all_22_27 = e22 & ~ (all_22_7 = e23) & ~ (all_22_15 = e22) & ~
% 58.41/9.29 (all_22_23 = e21) & ~ (all_22_31 = e20)) | (all_22_13 = e21 &
% 58.41/9.29 all_22_21 = e22 & ~ (all_22_3 = e23) & ~ (all_22_11 = e22) & ~
% 58.41/9.29 (all_22_19 = e21) & ~ (all_22_27 = e20)) | (all_22_15 = e20 &
% 58.41/9.29 all_22_31 = e22 & ~ (all_22_3 = e23) & ~ (all_22_11 = e22) & ~
% 58.41/9.29 (all_22_19 = e21) & ~ (all_22_27 = e20)) | (all_22_21 = e20 &
% 58.41/9.29 all_22_29 = e21 & ~ (all_22_7 = e23) & ~ (all_22_15 = e22) & ~
% 58.41/9.29 (all_22_23 = e21) & ~ (all_22_31 = e20)) | (all_22_23 = e20 &
% 58.41/9.29 all_22_31 = e21 & ~ (all_22_5 = e23) & ~ (all_22_13 = e22) & ~
% 58.41/9.29 (all_22_21 = e21) & ~ (all_22_29 = e20))
% 58.41/9.29 (19) ~ (all_6_2 = e20)
% 58.41/9.29 (20) all_26_6 = e21
% 58.41/9.29 (21) ~ (all_14_6 = e20)
% 58.41/9.29 (22) all_22_31 = e21
% 58.41/9.29 (23) ~ (e23 = e20)
% 58.41/9.29 (24) all_22_25 = all_14_12
% 58.41/9.29 (25) all_26_6 = e23 | all_26_7 = e23 | all_26_8 = e23 | all_26_11 = e23
% 58.41/9.29 (26) all_22_11 = all_6_2
% 58.41/9.29 (27) all_18_9 = all_14_6
% 58.41/9.29 (28) all_26_7 = all_14_6
% 58.41/9.30 (29) ~ (all_10_0 = e21)
% 58.41/9.30 (30) ~ (all_14_6 = e23)
% 58.41/9.30
% 58.41/9.30 Begin of proof
% 58.41/9.30 |
% 58.41/9.30 | BETA: splitting (7) gives:
% 58.41/9.30 |
% 58.41/9.30 | Case 1:
% 58.41/9.30 | |
% 58.41/9.30 | | (31) all_18_9 = e23
% 58.41/9.30 | |
% 58.41/9.30 | | REF_CLOSE: (27), (30), (31) are inconsistent by sub-proof #19.
% 58.41/9.30 | |
% 58.41/9.30 | Case 2:
% 58.41/9.30 | |
% 58.41/9.30 | | (32) ~ (all_18_9 = e23)
% 58.41/9.30 | | (33) all_18_9 = e22 | all_18_9 = e21 | all_18_9 = e20
% 58.41/9.30 | |
% 58.41/9.30 | | BETA: splitting (33) gives:
% 58.41/9.30 | |
% 58.41/9.30 | | Case 1:
% 58.41/9.30 | | |
% 58.41/9.30 | | | (34) all_18_9 = e20
% 58.41/9.30 | | |
% 58.41/9.30 | | | REF_CLOSE: (21), (27), (34) are inconsistent by sub-proof #12.
% 58.41/9.30 | | |
% 58.41/9.30 | | Case 2:
% 58.41/9.30 | | |
% 58.41/9.30 | | | (35) ~ (all_18_9 = e20)
% 58.41/9.30 | | | (36) all_18_9 = e22 | all_18_9 = e21
% 58.41/9.30 | | |
% 58.41/9.30 | | | BETA: splitting (25) gives:
% 58.41/9.30 | | |
% 58.41/9.30 | | | Case 1:
% 58.41/9.30 | | | |
% 58.41/9.30 | | | | (37) all_26_6 = e23
% 58.41/9.30 | | | |
% 58.41/9.30 | | | | COMBINE_EQS: (20), (37) imply:
% 58.41/9.30 | | | | (38) e23 = e21
% 58.41/9.30 | | | |
% 58.41/9.30 | | | | REDUCE: (8), (38) imply:
% 58.41/9.30 | | | | (39) $false
% 58.41/9.30 | | | |
% 58.41/9.30 | | | | CLOSE: (39) is inconsistent.
% 58.41/9.30 | | | |
% 58.41/9.30 | | | Case 2:
% 58.41/9.30 | | | |
% 58.41/9.30 | | | | (40) all_26_7 = e23 | all_26_8 = e23 | all_26_11 = e23
% 58.41/9.30 | | | |
% 58.41/9.30 | | | | BETA: splitting (40) gives:
% 58.41/9.30 | | | |
% 58.41/9.30 | | | | Case 1:
% 58.41/9.30 | | | | |
% 58.41/9.30 | | | | | (41) all_26_7 = e23
% 58.41/9.30 | | | | |
% 58.41/9.30 | | | | | COMBINE_EQS: (28), (41) imply:
% 58.41/9.30 | | | | | (42) all_14_6 = e23
% 58.41/9.30 | | | | |
% 58.41/9.30 | | | | | SIMP: (42) implies:
% 58.41/9.30 | | | | | (43) all_14_6 = e23
% 58.41/9.30 | | | | |
% 58.41/9.30 | | | | | REDUCE: (30), (43) imply:
% 58.41/9.30 | | | | | (44) $false
% 58.41/9.30 | | | | |
% 58.41/9.30 | | | | | CLOSE: (44) is inconsistent.
% 58.41/9.30 | | | | |
% 58.41/9.30 | | | | Case 2:
% 58.41/9.30 | | | | |
% 58.41/9.30 | | | | | (45) all_26_8 = e23 | all_26_11 = e23
% 58.41/9.30 | | | | |
% 58.41/9.30 | | | | | BETA: splitting (45) gives:
% 58.41/9.30 | | | | |
% 58.41/9.30 | | | | | Case 1:
% 58.41/9.30 | | | | | |
% 58.41/9.30 | | | | | | (46) all_26_8 = e23
% 58.41/9.30 | | | | | |
% 58.41/9.30 | | | | | | COMBINE_EQS: (12), (46) imply:
% 58.41/9.30 | | | | | | (47) all_4_2 = e23
% 58.41/9.30 | | | | | |
% 58.41/9.30 | | | | | | SIMP: (47) implies:
% 58.41/9.30 | | | | | | (48) all_4_2 = e23
% 58.41/9.30 | | | | | |
% 58.41/9.30 | | | | | | REDUCE: (16), (48) imply:
% 58.41/9.30 | | | | | | (49) $false
% 58.41/9.30 | | | | | |
% 58.41/9.30 | | | | | | CLOSE: (49) is inconsistent.
% 58.41/9.30 | | | | | |
% 58.41/9.30 | | | | | Case 2:
% 58.41/9.30 | | | | | |
% 58.41/9.30 | | | | | | (50) all_26_11 = e23
% 58.41/9.30 | | | | | |
% 58.41/9.30 | | | | | | COMBINE_EQS: (9), (50) imply:
% 58.41/9.30 | | | | | | (51) all_10_0 = e23
% 58.41/9.30 | | | | | |
% 58.41/9.30 | | | | | | SIMP: (51) implies:
% 58.41/9.30 | | | | | | (52) all_10_0 = e23
% 58.41/9.30 | | | | | |
% 58.41/9.30 | | | | | | COMBINE_EQS: (1), (52) imply:
% 58.41/9.30 | | | | | | (53) all_22_29 = e23
% 58.41/9.30 | | | | | |
% 58.41/9.30 | | | | | | REDUCE: (11), (52) imply:
% 58.41/9.30 | | | | | | (54) ~ (all_14_12 = e23)
% 58.41/9.30 | | | | | |
% 58.41/9.30 | | | | | | REDUCE: (14), (52) imply:
% 58.41/9.30 | | | | | | (55) ~ (all_4_2 = e23)
% 58.41/9.30 | | | | | |
% 58.41/9.30 | | | | | | BETA: splitting (36) gives:
% 58.41/9.30 | | | | | |
% 58.41/9.30 | | | | | | Case 1:
% 58.41/9.30 | | | | | | |
% 58.41/9.30 | | | | | | | (56) all_18_9 = e22
% 58.41/9.30 | | | | | | |
% 58.41/9.30 | | | | | | | COMBINE_EQS: (27), (56) imply:
% 58.41/9.30 | | | | | | | (57) all_14_6 = e22
% 58.41/9.30 | | | | | | |
% 58.41/9.30 | | | | | | | SIMP: (57) implies:
% 58.41/9.30 | | | | | | | (58) all_14_6 = e22
% 58.41/9.30 | | | | | | |
% 58.41/9.30 | | | | | | | COMBINE_EQS: (15), (58) imply:
% 58.41/9.30 | | | | | | | (59) all_22_13 = e22
% 58.41/9.30 | | | | | | |
% 58.41/9.30 | | | | | | | REDUCE: (30), (58) imply:
% 58.41/9.30 | | | | | | | (60) ~ (e23 = e22)
% 58.41/9.30 | | | | | | |
% 58.41/9.30 | | | | | | | SIMP: (60) implies:
% 58.41/9.30 | | | | | | | (61) ~ (e23 = e22)
% 58.41/9.30 | | | | | | |
% 58.41/9.30 | | | | | | | REDUCE: (13), (58) imply:
% 58.41/9.30 | | | | | | | (62) ~ (e22 = e21)
% 58.41/9.30 | | | | | | |
% 58.41/9.30 | | | | | | | REDUCE: (21), (58) imply:
% 58.41/9.30 | | | | | | | (63) ~ (e22 = e20)
% 58.41/9.30 | | | | | | |
% 58.41/9.30 | | | | | | | BETA: splitting (18) gives:
% 58.41/9.30 | | | | | | |
% 58.41/9.30 | | | | | | | Case 1:
% 58.41/9.30 | | | | | | | |
% 58.41/9.30 | | | | | | | | (64) (all_22_1 = e22 & all_22_9 = e23 & ~ (all_22_3 = e23) &
% 58.41/9.30 | | | | | | | | ~ (all_22_11 = e22) & ~ (all_22_19 = e21) & ~
% 58.41/9.30 | | | | | | | | (all_22_27 = e20)) | (all_22_1 = e21 & all_22_17 = e23
% 58.41/9.30 | | | | | | | | & ~ (all_22_5 = e23) & ~ (all_22_13 = e22) & ~
% 58.41/9.30 | | | | | | | | (all_22_21 = e21) & ~ (all_22_29 = e20)) | (all_22_1
% 58.41/9.30 | | | | | | | | = e20 & all_22_25 = e23 & ~ (all_22_7 = e23) & ~
% 58.41/9.30 | | | | | | | | (all_22_15 = e22) & ~ (all_22_23 = e21) & ~
% 58.41/9.30 | | | | | | | | (all_22_31 = e20)) | (all_22_3 = e22 & all_22_11 = e23
% 58.41/9.30 | | | | | | | | & ~ (all_22_1 = e23) & ~ (all_22_9 = e22) & ~
% 58.41/9.30 | | | | | | | | (all_22_17 = e21) & ~ (all_22_25 = e20)) | (all_22_5
% 58.41/9.30 | | | | | | | | = e21 & all_22_21 = e23 & ~ (all_22_1 = e23) & ~
% 58.41/9.30 | | | | | | | | (all_22_9 = e22) & ~ (all_22_17 = e21) & ~
% 58.41/9.30 | | | | | | | | (all_22_25 = e20)) | (all_22_7 = e20 & all_22_31 = e23
% 58.41/9.30 | | | | | | | | & ~ (all_22_1 = e23) & ~ (all_22_9 = e22) & ~
% 58.41/9.30 | | | | | | | | (all_22_17 = e21) & ~ (all_22_25 = e20))
% 58.41/9.30 | | | | | | | |
% 58.41/9.30 | | | | | | | | BETA: splitting (64) gives:
% 58.41/9.30 | | | | | | | |
% 58.41/9.30 | | | | | | | | Case 1:
% 58.41/9.30 | | | | | | | | |
% 58.41/9.30 | | | | | | | | | (65) (all_22_1 = e22 & all_22_9 = e23 & ~ (all_22_3 = e23)
% 58.41/9.30 | | | | | | | | | & ~ (all_22_11 = e22) & ~ (all_22_19 = e21) & ~
% 58.41/9.30 | | | | | | | | | (all_22_27 = e20)) | (all_22_1 = e21 & all_22_17 =
% 58.41/9.30 | | | | | | | | | e23 & ~ (all_22_5 = e23) & ~ (all_22_13 = e22) &
% 58.41/9.30 | | | | | | | | | ~ (all_22_21 = e21) & ~ (all_22_29 = e20)) |
% 58.41/9.30 | | | | | | | | | (all_22_1 = e20 & all_22_25 = e23 & ~ (all_22_7 =
% 58.41/9.30 | | | | | | | | | e23) & ~ (all_22_15 = e22) & ~ (all_22_23 = e21)
% 58.41/9.30 | | | | | | | | | & ~ (all_22_31 = e20))
% 58.41/9.30 | | | | | | | | |
% 58.41/9.30 | | | | | | | | | BETA: splitting (65) gives:
% 58.41/9.30 | | | | | | | | |
% 58.41/9.30 | | | | | | | | | Case 1:
% 58.41/9.30 | | | | | | | | | |
% 58.41/9.30 | | | | | | | | | | (66) all_22_1 = e22 & all_22_9 = e23 & ~ (all_22_3 =
% 58.41/9.30 | | | | | | | | | | e23) & ~ (all_22_11 = e22) & ~ (all_22_19 = e21)
% 58.41/9.30 | | | | | | | | | | & ~ (all_22_27 = e20)
% 58.41/9.30 | | | | | | | | | |
% 58.41/9.30 | | | | | | | | | | ALPHA: (66) implies:
% 58.41/9.30 | | | | | | | | | | (67) all_22_1 = e22
% 58.41/9.30 | | | | | | | | | |
% 58.41/9.30 | | | | | | | | | | REF_CLOSE: (10), (63), (67) are inconsistent by sub-proof
% 58.41/9.30 | | | | | | | | | | #46.
% 58.41/9.30 | | | | | | | | | |
% 58.41/9.30 | | | | | | | | | Case 2:
% 58.41/9.30 | | | | | | | | | |
% 58.41/9.30 | | | | | | | | | | (68) (all_22_1 = e21 & all_22_17 = e23 & ~ (all_22_5 =
% 58.41/9.30 | | | | | | | | | | e23) & ~ (all_22_13 = e22) & ~ (all_22_21 =
% 58.41/9.30 | | | | | | | | | | e21) & ~ (all_22_29 = e20)) | (all_22_1 = e20 &
% 58.41/9.30 | | | | | | | | | | all_22_25 = e23 & ~ (all_22_7 = e23) & ~
% 58.41/9.30 | | | | | | | | | | (all_22_15 = e22) & ~ (all_22_23 = e21) & ~
% 58.41/9.30 | | | | | | | | | | (all_22_31 = e20))
% 58.41/9.30 | | | | | | | | | |
% 58.41/9.30 | | | | | | | | | | BETA: splitting (68) gives:
% 58.41/9.30 | | | | | | | | | |
% 58.41/9.30 | | | | | | | | | | Case 1:
% 58.41/9.30 | | | | | | | | | | |
% 58.41/9.30 | | | | | | | | | | | (69) all_22_1 = e21 & all_22_17 = e23 & ~ (all_22_5 =
% 58.41/9.30 | | | | | | | | | | | e23) & ~ (all_22_13 = e22) & ~ (all_22_21 =
% 58.41/9.30 | | | | | | | | | | | e21) & ~ (all_22_29 = e20)
% 58.41/9.30 | | | | | | | | | | |
% 58.41/9.30 | | | | | | | | | | | REF_CLOSE: (3), (10), (69) are inconsistent by sub-proof #11.
% 58.41/9.30 | | | | | | | | | | |
% 58.41/9.30 | | | | | | | | | | Case 2:
% 58.41/9.30 | | | | | | | | | | |
% 58.41/9.30 | | | | | | | | | | | (70) all_22_1 = e20 & all_22_25 = e23 & ~ (all_22_7 =
% 58.41/9.30 | | | | | | | | | | | e23) & ~ (all_22_15 = e22) & ~ (all_22_23 =
% 58.41/9.30 | | | | | | | | | | | e21) & ~ (all_22_31 = e20)
% 58.41/9.30 | | | | | | | | | | |
% 58.41/9.30 | | | | | | | | | | | REF_CLOSE: (24), (54), (70) are inconsistent by sub-proof
% 58.41/9.30 | | | | | | | | | | | #29.
% 58.41/9.30 | | | | | | | | | | |
% 58.41/9.30 | | | | | | | | | | End of split
% 58.41/9.30 | | | | | | | | | |
% 58.41/9.30 | | | | | | | | | End of split
% 58.41/9.30 | | | | | | | | |
% 58.41/9.30 | | | | | | | | Case 2:
% 58.41/9.30 | | | | | | | | |
% 58.41/9.30 | | | | | | | | | (71) (all_22_3 = e22 & all_22_11 = e23 & ~ (all_22_1 =
% 58.41/9.30 | | | | | | | | | e23) & ~ (all_22_9 = e22) & ~ (all_22_17 = e21)
% 58.41/9.30 | | | | | | | | | & ~ (all_22_25 = e20)) | (all_22_5 = e21 &
% 58.41/9.30 | | | | | | | | | all_22_21 = e23 & ~ (all_22_1 = e23) & ~ (all_22_9
% 58.41/9.30 | | | | | | | | | = e22) & ~ (all_22_17 = e21) & ~ (all_22_25 =
% 58.41/9.30 | | | | | | | | | e20)) | (all_22_7 = e20 & all_22_31 = e23 & ~
% 58.41/9.30 | | | | | | | | | (all_22_1 = e23) & ~ (all_22_9 = e22) & ~
% 58.41/9.30 | | | | | | | | | (all_22_17 = e21) & ~ (all_22_25 = e20))
% 58.41/9.30 | | | | | | | | |
% 58.41/9.30 | | | | | | | | | BETA: splitting (71) gives:
% 58.41/9.30 | | | | | | | | |
% 58.41/9.30 | | | | | | | | | Case 1:
% 58.41/9.30 | | | | | | | | | |
% 58.41/9.30 | | | | | | | | | | (72) all_22_3 = e22 & all_22_11 = e23 & ~ (all_22_1 =
% 58.41/9.30 | | | | | | | | | | e23) & ~ (all_22_9 = e22) & ~ (all_22_17 = e21)
% 58.41/9.30 | | | | | | | | | | & ~ (all_22_25 = e20)
% 58.41/9.30 | | | | | | | | | |
% 58.41/9.30 | | | | | | | | | | ALPHA: (72) implies:
% 58.41/9.30 | | | | | | | | | | (73) all_22_3 = e22
% 58.41/9.30 | | | | | | | | | |
% 58.41/9.30 | | | | | | | | | | COMBINE_EQS: (2), (73) imply:
% 58.41/9.30 | | | | | | | | | | (74) e23 = e22
% 58.41/9.30 | | | | | | | | | |
% 58.41/9.30 | | | | | | | | | | REDUCE: (61), (74) imply:
% 58.41/9.30 | | | | | | | | | | (75) $false
% 58.41/9.30 | | | | | | | | | |
% 58.41/9.30 | | | | | | | | | | CLOSE: (75) is inconsistent.
% 58.41/9.30 | | | | | | | | | |
% 58.41/9.30 | | | | | | | | | Case 2:
% 58.41/9.30 | | | | | | | | | |
% 58.41/9.30 | | | | | | | | | | (76) (all_22_5 = e21 & all_22_21 = e23 & ~ (all_22_1 =
% 58.41/9.30 | | | | | | | | | | e23) & ~ (all_22_9 = e22) & ~ (all_22_17 =
% 58.41/9.30 | | | | | | | | | | e21) & ~ (all_22_25 = e20)) | (all_22_7 = e20 &
% 58.41/9.30 | | | | | | | | | | all_22_31 = e23 & ~ (all_22_1 = e23) & ~
% 58.41/9.30 | | | | | | | | | | (all_22_9 = e22) & ~ (all_22_17 = e21) & ~
% 58.41/9.30 | | | | | | | | | | (all_22_25 = e20))
% 58.41/9.30 | | | | | | | | | |
% 58.41/9.30 | | | | | | | | | | BETA: splitting (76) gives:
% 58.41/9.30 | | | | | | | | | |
% 58.41/9.30 | | | | | | | | | | Case 1:
% 58.41/9.30 | | | | | | | | | | |
% 58.41/9.30 | | | | | | | | | | | (77) all_22_5 = e21 & all_22_21 = e23 & ~ (all_22_1 =
% 58.41/9.30 | | | | | | | | | | | e23) & ~ (all_22_9 = e22) & ~ (all_22_17 =
% 58.41/9.30 | | | | | | | | | | | e21) & ~ (all_22_25 = e20)
% 58.41/9.30 | | | | | | | | | | |
% 58.41/9.30 | | | | | | | | | | | ALPHA: (77) implies:
% 58.41/9.30 | | | | | | | | | | | (78) all_22_21 = e23
% 58.41/9.30 | | | | | | | | | | |
% 58.41/9.30 | | | | | | | | | | | COMBINE_EQS: (17), (78) imply:
% 58.41/9.30 | | | | | | | | | | | (79) all_4_2 = e23
% 58.41/9.30 | | | | | | | | | | |
% 58.41/9.30 | | | | | | | | | | | SIMP: (79) implies:
% 58.41/9.30 | | | | | | | | | | | (80) all_4_2 = e23
% 58.41/9.30 | | | | | | | | | | |
% 58.41/9.30 | | | | | | | | | | | REDUCE: (16), (80) imply:
% 58.41/9.30 | | | | | | | | | | | (81) $false
% 58.41/9.30 | | | | | | | | | | |
% 58.41/9.30 | | | | | | | | | | | CLOSE: (81) is inconsistent.
% 58.41/9.30 | | | | | | | | | | |
% 58.41/9.30 | | | | | | | | | | Case 2:
% 58.41/9.30 | | | | | | | | | | |
% 58.41/9.30 | | | | | | | | | | | (82) all_22_7 = e20 & all_22_31 = e23 & ~ (all_22_1 =
% 58.41/9.30 | | | | | | | | | | | e23) & ~ (all_22_9 = e22) & ~ (all_22_17 =
% 58.41/9.30 | | | | | | | | | | | e21) & ~ (all_22_25 = e20)
% 58.41/9.30 | | | | | | | | | | |
% 58.41/9.30 | | | | | | | | | | | REF_CLOSE: (5), (63), (82) are inconsistent by sub-proof #10.
% 58.41/9.30 | | | | | | | | | | |
% 58.41/9.30 | | | | | | | | | | End of split
% 58.41/9.30 | | | | | | | | | |
% 58.41/9.30 | | | | | | | | | End of split
% 58.41/9.30 | | | | | | | | |
% 58.41/9.30 | | | | | | | | End of split
% 58.41/9.30 | | | | | | | |
% 58.41/9.30 | | | | | | | Case 2:
% 58.41/9.30 | | | | | | | |
% 58.41/9.30 | | | | | | | | (83) (all_22_11 = e21 & all_22_19 = e22 & ~ (all_22_5 = e23)
% 58.41/9.30 | | | | | | | | & ~ (all_22_13 = e22) & ~ (all_22_21 = e21) & ~
% 58.41/9.30 | | | | | | | | (all_22_29 = e20)) | (all_22_11 = e20 & all_22_27 =
% 58.41/9.30 | | | | | | | | e22 & ~ (all_22_7 = e23) & ~ (all_22_15 = e22) & ~
% 58.41/9.30 | | | | | | | | (all_22_23 = e21) & ~ (all_22_31 = e20)) | (all_22_13
% 58.41/9.30 | | | | | | | | = e21 & all_22_21 = e22 & ~ (all_22_3 = e23) & ~
% 58.41/9.30 | | | | | | | | (all_22_11 = e22) & ~ (all_22_19 = e21) & ~
% 58.41/9.30 | | | | | | | | (all_22_27 = e20)) | (all_22_15 = e20 & all_22_31 =
% 58.41/9.30 | | | | | | | | e22 & ~ (all_22_3 = e23) & ~ (all_22_11 = e22) & ~
% 58.41/9.30 | | | | | | | | (all_22_19 = e21) & ~ (all_22_27 = e20)) | (all_22_21
% 58.41/9.30 | | | | | | | | = e20 & all_22_29 = e21 & ~ (all_22_7 = e23) & ~
% 58.41/9.30 | | | | | | | | (all_22_15 = e22) & ~ (all_22_23 = e21) & ~
% 58.41/9.30 | | | | | | | | (all_22_31 = e20)) | (all_22_23 = e20 & all_22_31 =
% 58.41/9.30 | | | | | | | | e21 & ~ (all_22_5 = e23) & ~ (all_22_13 = e22) & ~
% 58.41/9.30 | | | | | | | | (all_22_21 = e21) & ~ (all_22_29 = e20))
% 58.41/9.30 | | | | | | | |
% 58.41/9.30 | | | | | | | | BETA: splitting (83) gives:
% 58.41/9.30 | | | | | | | |
% 58.41/9.30 | | | | | | | | Case 1:
% 58.41/9.30 | | | | | | | | |
% 58.41/9.30 | | | | | | | | | (84) (all_22_11 = e21 & all_22_19 = e22 & ~ (all_22_5 =
% 58.41/9.30 | | | | | | | | | e23) & ~ (all_22_13 = e22) & ~ (all_22_21 = e21)
% 58.41/9.30 | | | | | | | | | & ~ (all_22_29 = e20)) | (all_22_11 = e20 &
% 58.41/9.30 | | | | | | | | | all_22_27 = e22 & ~ (all_22_7 = e23) & ~
% 58.41/9.30 | | | | | | | | | (all_22_15 = e22) & ~ (all_22_23 = e21) & ~
% 58.41/9.30 | | | | | | | | | (all_22_31 = e20)) | (all_22_13 = e21 & all_22_21 =
% 58.41/9.30 | | | | | | | | | e22 & ~ (all_22_3 = e23) & ~ (all_22_11 = e22) &
% 58.41/9.30 | | | | | | | | | ~ (all_22_19 = e21) & ~ (all_22_27 = e20))
% 58.41/9.30 | | | | | | | | |
% 58.41/9.30 | | | | | | | | | BETA: splitting (84) gives:
% 58.41/9.30 | | | | | | | | |
% 58.41/9.30 | | | | | | | | | Case 1:
% 58.41/9.30 | | | | | | | | | |
% 58.41/9.30 | | | | | | | | | | (85) all_22_11 = e21 & all_22_19 = e22 & ~ (all_22_5 =
% 58.41/9.30 | | | | | | | | | | e23) & ~ (all_22_13 = e22) & ~ (all_22_21 = e21)
% 58.41/9.30 | | | | | | | | | | & ~ (all_22_29 = e20)
% 58.41/9.30 | | | | | | | | | |
% 58.41/9.30 | | | | | | | | | | ALPHA: (85) implies:
% 58.41/9.30 | | | | | | | | | | (86) ~ (all_22_13 = e22)
% 58.41/9.30 | | | | | | | | | |
% 58.41/9.30 | | | | | | | | | | REDUCE: (59), (86) imply:
% 58.41/9.30 | | | | | | | | | | (87) $false
% 58.41/9.30 | | | | | | | | | |
% 58.41/9.30 | | | | | | | | | | CLOSE: (87) is inconsistent.
% 58.41/9.30 | | | | | | | | | |
% 58.41/9.30 | | | | | | | | | Case 2:
% 58.41/9.30 | | | | | | | | | |
% 58.41/9.30 | | | | | | | | | | (88) (all_22_11 = e20 & all_22_27 = e22 & ~ (all_22_7 =
% 58.41/9.30 | | | | | | | | | | e23) & ~ (all_22_15 = e22) & ~ (all_22_23 =
% 58.41/9.30 | | | | | | | | | | e21) & ~ (all_22_31 = e20)) | (all_22_13 = e21
% 58.41/9.30 | | | | | | | | | | & all_22_21 = e22 & ~ (all_22_3 = e23) & ~
% 58.41/9.30 | | | | | | | | | | (all_22_11 = e22) & ~ (all_22_19 = e21) & ~
% 58.41/9.30 | | | | | | | | | | (all_22_27 = e20))
% 58.41/9.30 | | | | | | | | | |
% 58.41/9.30 | | | | | | | | | | BETA: splitting (88) gives:
% 58.41/9.30 | | | | | | | | | |
% 58.41/9.30 | | | | | | | | | | Case 1:
% 58.41/9.30 | | | | | | | | | | |
% 58.41/9.30 | | | | | | | | | | | (89) all_22_11 = e20 & all_22_27 = e22 & ~ (all_22_7 =
% 58.41/9.30 | | | | | | | | | | | e23) & ~ (all_22_15 = e22) & ~ (all_22_23 =
% 58.41/9.30 | | | | | | | | | | | e21) & ~ (all_22_31 = e20)
% 58.41/9.30 | | | | | | | | | | |
% 58.41/9.30 | | | | | | | | | | | ALPHA: (89) implies:
% 58.41/9.30 | | | | | | | | | | | (90) all_22_11 = e20
% 58.41/9.30 | | | | | | | | | | |
% 58.41/9.30 | | | | | | | | | | | COMBINE_EQS: (26), (90) imply:
% 58.41/9.30 | | | | | | | | | | | (91) all_6_2 = e20
% 58.41/9.30 | | | | | | | | | | |
% 58.41/9.30 | | | | | | | | | | | REDUCE: (19), (91) imply:
% 58.41/9.30 | | | | | | | | | | | (92) $false
% 58.41/9.30 | | | | | | | | | | |
% 58.41/9.30 | | | | | | | | | | | CLOSE: (92) is inconsistent.
% 58.41/9.30 | | | | | | | | | | |
% 58.41/9.30 | | | | | | | | | | Case 2:
% 58.41/9.30 | | | | | | | | | | |
% 58.41/9.30 | | | | | | | | | | | (93) all_22_13 = e21 & all_22_21 = e22 & ~ (all_22_3 =
% 58.41/9.30 | | | | | | | | | | | e23) & ~ (all_22_11 = e22) & ~ (all_22_19 =
% 58.41/9.31 | | | | | | | | | | | e21) & ~ (all_22_27 = e20)
% 58.41/9.31 | | | | | | | | | | |
% 58.41/9.31 | | | | | | | | | | | ALPHA: (93) implies:
% 58.41/9.31 | | | | | | | | | | | (94) all_22_13 = e21
% 58.41/9.31 | | | | | | | | | | |
% 58.41/9.31 | | | | | | | | | | | COMBINE_EQS: (59), (94) imply:
% 58.41/9.31 | | | | | | | | | | | (95) e22 = e21
% 58.41/9.31 | | | | | | | | | | |
% 58.41/9.31 | | | | | | | | | | | REDUCE: (62), (95) imply:
% 58.41/9.31 | | | | | | | | | | | (96) $false
% 58.41/9.31 | | | | | | | | | | |
% 58.41/9.31 | | | | | | | | | | | CLOSE: (96) is inconsistent.
% 58.41/9.31 | | | | | | | | | | |
% 58.41/9.31 | | | | | | | | | | End of split
% 58.41/9.31 | | | | | | | | | |
% 58.41/9.31 | | | | | | | | | End of split
% 58.41/9.31 | | | | | | | | |
% 58.41/9.31 | | | | | | | | Case 2:
% 58.41/9.31 | | | | | | | | |
% 58.41/9.31 | | | | | | | | | (97) (all_22_15 = e20 & all_22_31 = e22 & ~ (all_22_3 =
% 58.41/9.31 | | | | | | | | | e23) & ~ (all_22_11 = e22) & ~ (all_22_19 = e21)
% 58.41/9.31 | | | | | | | | | & ~ (all_22_27 = e20)) | (all_22_21 = e20 &
% 58.41/9.31 | | | | | | | | | all_22_29 = e21 & ~ (all_22_7 = e23) & ~
% 58.41/9.31 | | | | | | | | | (all_22_15 = e22) & ~ (all_22_23 = e21) & ~
% 58.41/9.31 | | | | | | | | | (all_22_31 = e20)) | (all_22_23 = e20 & all_22_31 =
% 58.41/9.31 | | | | | | | | | e21 & ~ (all_22_5 = e23) & ~ (all_22_13 = e22) &
% 58.41/9.31 | | | | | | | | | ~ (all_22_21 = e21) & ~ (all_22_29 = e20))
% 58.41/9.31 | | | | | | | | |
% 58.41/9.31 | | | | | | | | | BETA: splitting (97) gives:
% 58.41/9.31 | | | | | | | | |
% 58.41/9.31 | | | | | | | | | Case 1:
% 58.41/9.31 | | | | | | | | | |
% 58.41/9.31 | | | | | | | | | | (98) all_22_15 = e20 & all_22_31 = e22 & ~ (all_22_3 =
% 58.41/9.31 | | | | | | | | | | e23) & ~ (all_22_11 = e22) & ~ (all_22_19 = e21)
% 58.41/9.31 | | | | | | | | | | & ~ (all_22_27 = e20)
% 58.41/9.31 | | | | | | | | | |
% 58.41/9.31 | | | | | | | | | | REF_CLOSE: (22), (62), (98) are inconsistent by sub-proof #9.
% 58.41/9.31 | | | | | | | | | |
% 58.41/9.31 | | | | | | | | | Case 2:
% 58.41/9.31 | | | | | | | | | |
% 58.41/9.31 | | | | | | | | | | (99) (all_22_21 = e20 & all_22_29 = e21 & ~ (all_22_7 =
% 58.41/9.31 | | | | | | | | | | e23) & ~ (all_22_15 = e22) & ~ (all_22_23 =
% 58.41/9.31 | | | | | | | | | | e21) & ~ (all_22_31 = e20)) | (all_22_23 = e20
% 58.41/9.31 | | | | | | | | | | & all_22_31 = e21 & ~ (all_22_5 = e23) & ~
% 58.41/9.31 | | | | | | | | | | (all_22_13 = e22) & ~ (all_22_21 = e21) & ~
% 58.41/9.31 | | | | | | | | | | (all_22_29 = e20))
% 58.41/9.31 | | | | | | | | | |
% 58.41/9.31 | | | | | | | | | | BETA: splitting (99) gives:
% 58.41/9.31 | | | | | | | | | |
% 58.41/9.31 | | | | | | | | | | Case 1:
% 58.41/9.31 | | | | | | | | | | |
% 58.41/9.31 | | | | | | | | | | | (100) all_22_21 = e20 & all_22_29 = e21 & ~ (all_22_7 =
% 58.41/9.31 | | | | | | | | | | | e23) & ~ (all_22_15 = e22) & ~ (all_22_23 =
% 58.41/9.31 | | | | | | | | | | | e21) & ~ (all_22_31 = e20)
% 58.41/9.31 | | | | | | | | | | |
% 58.41/9.31 | | | | | | | | | | | ALPHA: (100) implies:
% 58.41/9.31 | | | | | | | | | | | (101) all_22_29 = e21
% 58.41/9.31 | | | | | | | | | | |
% 58.41/9.31 | | | | | | | | | | | COMBINE_EQS: (53), (101) imply:
% 58.41/9.31 | | | | | | | | | | | (102) e23 = e21
% 58.41/9.31 | | | | | | | | | | |
% 58.41/9.31 | | | | | | | | | | | SIMP: (102) implies:
% 58.41/9.31 | | | | | | | | | | | (103) e23 = e21
% 58.41/9.31 | | | | | | | | | | |
% 58.41/9.31 | | | | | | | | | | | REDUCE: (8), (103) imply:
% 58.41/9.31 | | | | | | | | | | | (104) $false
% 58.41/9.31 | | | | | | | | | | |
% 58.41/9.31 | | | | | | | | | | | CLOSE: (104) is inconsistent.
% 58.41/9.31 | | | | | | | | | | |
% 58.41/9.31 | | | | | | | | | | Case 2:
% 58.41/9.31 | | | | | | | | | | |
% 58.41/9.31 | | | | | | | | | | | (105) all_22_23 = e20 & all_22_31 = e21 & ~ (all_22_5 =
% 58.41/9.31 | | | | | | | | | | | e23) & ~ (all_22_13 = e22) & ~ (all_22_21 =
% 58.41/9.31 | | | | | | | | | | | e21) & ~ (all_22_29 = e20)
% 58.41/9.31 | | | | | | | | | | |
% 58.41/9.31 | | | | | | | | | | | REF_CLOSE: (4), (23), (105) are inconsistent by sub-proof #8.
% 58.41/9.31 | | | | | | | | | | |
% 58.41/9.31 | | | | | | | | | | End of split
% 58.41/9.31 | | | | | | | | | |
% 58.41/9.31 | | | | | | | | | End of split
% 58.41/9.31 | | | | | | | | |
% 58.41/9.31 | | | | | | | | End of split
% 58.41/9.31 | | | | | | | |
% 58.41/9.31 | | | | | | | End of split
% 58.41/9.31 | | | | | | |
% 58.41/9.31 | | | | | | Case 2:
% 58.41/9.31 | | | | | | |
% 58.41/9.31 | | | | | | | (106) all_18_9 = e21
% 58.41/9.31 | | | | | | |
% 58.41/9.31 | | | | | | | REF_CLOSE: (13), (27), (106) are inconsistent by sub-proof #7.
% 58.41/9.31 | | | | | | |
% 58.41/9.31 | | | | | | End of split
% 58.41/9.31 | | | | | |
% 58.41/9.31 | | | | | End of split
% 58.41/9.31 | | | | |
% 58.41/9.31 | | | | End of split
% 58.41/9.31 | | | |
% 58.41/9.31 | | | End of split
% 58.41/9.31 | | |
% 58.41/9.31 | | End of split
% 58.41/9.31 | |
% 58.41/9.31 | End of split
% 58.41/9.31 |
% 58.41/9.31 End of proof
% 58.41/9.31
% 58.41/9.31 Sub-proof #7 shows that the following formulas are inconsistent:
% 58.41/9.31 ----------------------------------------------------------------
% 58.41/9.31 (1) all_18_9 = all_14_6
% 58.41/9.31 (2) all_18_9 = e21
% 58.41/9.31 (3) ~ (all_14_6 = e21)
% 58.41/9.31
% 58.41/9.31 Begin of proof
% 58.41/9.31 |
% 58.41/9.31 | COMBINE_EQS: (1), (2) imply:
% 58.41/9.31 | (4) all_14_6 = e21
% 58.41/9.31 |
% 58.41/9.31 | SIMP: (4) implies:
% 58.41/9.31 | (5) all_14_6 = e21
% 58.41/9.31 |
% 58.41/9.31 | REDUCE: (3), (5) imply:
% 58.41/9.31 | (6) $false
% 58.41/9.31 |
% 58.41/9.31 | CLOSE: (6) is inconsistent.
% 58.41/9.31 |
% 58.41/9.31 End of proof
% 58.41/9.31
% 58.41/9.31 Sub-proof #8 shows that the following formulas are inconsistent:
% 58.41/9.31 ----------------------------------------------------------------
% 58.41/9.31 (1) all_22_23 = e20 & all_22_31 = e21 & ~ (all_22_5 = e23) & ~ (all_22_13 =
% 58.41/9.31 e22) & ~ (all_22_21 = e21) & ~ (all_22_29 = e20)
% 58.41/9.31 (2) all_22_23 = e23
% 58.41/9.31 (3) ~ (e23 = e20)
% 58.41/9.31
% 58.41/9.31 Begin of proof
% 58.41/9.31 |
% 58.41/9.31 | ALPHA: (1) implies:
% 58.41/9.31 | (4) all_22_23 = e20
% 58.41/9.31 |
% 58.41/9.31 | COMBINE_EQS: (2), (4) imply:
% 58.41/9.31 | (5) e23 = e20
% 58.41/9.31 |
% 58.41/9.31 | REDUCE: (3), (5) imply:
% 58.41/9.31 | (6) $false
% 58.41/9.31 |
% 58.41/9.31 | CLOSE: (6) is inconsistent.
% 58.41/9.31 |
% 58.41/9.31 End of proof
% 58.41/9.31
% 58.41/9.31 Sub-proof #9 shows that the following formulas are inconsistent:
% 58.41/9.31 ----------------------------------------------------------------
% 58.41/9.31 (1) all_22_15 = e20 & all_22_31 = e22 & ~ (all_22_3 = e23) & ~ (all_22_11 =
% 58.41/9.31 e22) & ~ (all_22_19 = e21) & ~ (all_22_27 = e20)
% 58.41/9.31 (2) all_22_31 = e21
% 58.41/9.31 (3) ~ (e22 = e21)
% 58.41/9.31
% 58.41/9.31 Begin of proof
% 58.41/9.31 |
% 58.41/9.31 | ALPHA: (1) implies:
% 58.41/9.31 | (4) all_22_31 = e22
% 58.41/9.31 |
% 58.41/9.31 | COMBINE_EQS: (2), (4) imply:
% 58.41/9.31 | (5) e22 = e21
% 58.41/9.31 |
% 58.41/9.31 | REDUCE: (3), (5) imply:
% 58.41/9.31 | (6) $false
% 58.41/9.31 |
% 58.41/9.31 | CLOSE: (6) is inconsistent.
% 58.41/9.31 |
% 58.41/9.31 End of proof
% 58.41/9.31
% 58.41/9.31 Sub-proof #10 shows that the following formulas are inconsistent:
% 58.41/9.31 ----------------------------------------------------------------
% 58.41/9.31 (1) all_22_7 = e20 & all_22_31 = e23 & ~ (all_22_1 = e23) & ~ (all_22_9 =
% 58.41/9.31 e22) & ~ (all_22_17 = e21) & ~ (all_22_25 = e20)
% 58.41/9.31 (2) all_22_7 = e22
% 58.41/9.31 (3) ~ (e22 = e20)
% 58.41/9.31
% 58.41/9.31 Begin of proof
% 58.41/9.31 |
% 58.41/9.31 | ALPHA: (1) implies:
% 58.41/9.31 | (4) all_22_7 = e20
% 58.41/9.31 |
% 58.41/9.31 | COMBINE_EQS: (2), (4) imply:
% 58.41/9.31 | (5) e22 = e20
% 58.41/9.31 |
% 58.41/9.31 | REDUCE: (3), (5) imply:
% 58.41/9.31 | (6) $false
% 58.41/9.31 |
% 58.41/9.31 | CLOSE: (6) is inconsistent.
% 58.41/9.31 |
% 58.41/9.31 End of proof
% 58.41/9.31
% 58.41/9.31 Sub-proof #11 shows that the following formulas are inconsistent:
% 58.41/9.31 ----------------------------------------------------------------
% 58.41/9.31 (1) all_22_1 = e21 & all_22_17 = e23 & ~ (all_22_5 = e23) & ~ (all_22_13 =
% 58.41/9.31 e22) & ~ (all_22_21 = e21) & ~ (all_22_29 = e20)
% 58.41/9.31 (2) all_22_1 = e20
% 58.41/9.31 (3) ~ (e21 = e20)
% 58.41/9.31
% 58.41/9.31 Begin of proof
% 58.41/9.31 |
% 58.41/9.31 | ALPHA: (1) implies:
% 58.41/9.31 | (4) all_22_1 = e21
% 58.41/9.31 |
% 58.41/9.31 | COMBINE_EQS: (2), (4) imply:
% 58.41/9.31 | (5) e21 = e20
% 58.41/9.31 |
% 58.41/9.31 | SIMP: (5) implies:
% 58.41/9.31 | (6) e21 = e20
% 58.41/9.31 |
% 58.41/9.31 | REDUCE: (3), (6) imply:
% 58.41/9.31 | (7) $false
% 58.41/9.31 |
% 58.41/9.31 | CLOSE: (7) is inconsistent.
% 58.41/9.31 |
% 58.41/9.31 End of proof
% 58.41/9.31
% 58.41/9.31 Sub-proof #12 shows that the following formulas are inconsistent:
% 58.41/9.31 ----------------------------------------------------------------
% 58.41/9.31 (1) all_18_9 = all_14_6
% 58.41/9.31 (2) all_18_9 = e20
% 58.41/9.31 (3) ~ (all_14_6 = e20)
% 58.41/9.31
% 58.41/9.31 Begin of proof
% 58.41/9.31 |
% 58.41/9.31 | COMBINE_EQS: (1), (2) imply:
% 58.41/9.31 | (4) all_14_6 = e20
% 58.41/9.31 |
% 58.41/9.31 | SIMP: (4) implies:
% 58.41/9.31 | (5) all_14_6 = e20
% 58.41/9.31 |
% 58.41/9.31 | REDUCE: (3), (5) imply:
% 58.41/9.31 | (6) $false
% 58.41/9.31 |
% 58.41/9.31 | CLOSE: (6) is inconsistent.
% 58.41/9.31 |
% 58.41/9.31 End of proof
% 58.41/9.31
% 58.41/9.31 Sub-proof #13 shows that the following formulas are inconsistent:
% 58.41/9.31 ----------------------------------------------------------------
% 58.41/9.31 (1) all_22_29 = e20
% 58.41/9.31 (2) ~ (e21 = e20)
% 58.41/9.31 (3) all_22_28 = all_22_29 | all_22_30 = all_22_31
% 58.41/9.31 (4) all_22_30 = e20
% 58.41/9.31 (5) all_22_28 = e23
% 58.41/9.31 (6) all_22_31 = e21
% 58.41/9.31 (7) ~ (e23 = e20)
% 58.41/9.31
% 58.41/9.31 Begin of proof
% 58.41/9.31 |
% 58.41/9.31 | BETA: splitting (3) gives:
% 58.41/9.31 |
% 58.41/9.31 | Case 1:
% 58.41/9.31 | |
% 58.41/9.31 | | (8) all_22_28 = all_22_29
% 58.41/9.31 | |
% 58.41/9.31 | | COMBINE_EQS: (5), (8) imply:
% 58.41/9.31 | | (9) all_22_29 = e23
% 58.41/9.31 | |
% 58.41/9.31 | | COMBINE_EQS: (1), (9) imply:
% 58.41/9.31 | | (10) e23 = e20
% 58.41/9.31 | |
% 58.41/9.31 | | SIMP: (10) implies:
% 58.41/9.31 | | (11) e23 = e20
% 58.41/9.31 | |
% 58.41/9.31 | | REDUCE: (7), (11) imply:
% 58.41/9.31 | | (12) $false
% 58.41/9.31 | |
% 58.41/9.31 | | CLOSE: (12) is inconsistent.
% 58.41/9.31 | |
% 58.41/9.31 | Case 2:
% 58.41/9.31 | |
% 58.41/9.31 | | (13) all_22_30 = all_22_31
% 58.41/9.31 | |
% 58.41/9.31 | | COMBINE_EQS: (4), (13) imply:
% 58.41/9.31 | | (14) all_22_31 = e20
% 58.41/9.31 | |
% 58.41/9.31 | | COMBINE_EQS: (6), (14) imply:
% 58.41/9.31 | | (15) e21 = e20
% 58.41/9.31 | |
% 58.41/9.31 | | REDUCE: (2), (15) imply:
% 58.41/9.31 | | (16) $false
% 58.41/9.31 | |
% 58.41/9.31 | | CLOSE: (16) is inconsistent.
% 58.41/9.31 | |
% 58.41/9.31 | End of split
% 58.41/9.31 |
% 58.41/9.31 End of proof
% 58.41/9.31
% 58.41/9.31 Sub-proof #14 shows that the following formulas are inconsistent:
% 58.41/9.31 ----------------------------------------------------------------
% 58.41/9.31 (1) all_22_24 = e20
% 58.41/9.31 (2) all_22_24 = all_22_25
% 58.41/9.31 (3) all_22_25 = e23
% 58.41/9.31 (4) ~ (e23 = e20)
% 58.41/9.31
% 58.41/9.31 Begin of proof
% 58.41/9.31 |
% 58.41/9.31 | COMBINE_EQS: (1), (2) imply:
% 58.41/9.31 | (5) all_22_25 = e20
% 58.41/9.31 |
% 58.41/9.31 | COMBINE_EQS: (3), (5) imply:
% 58.41/9.31 | (6) e23 = e20
% 58.41/9.31 |
% 58.41/9.31 | REDUCE: (4), (6) imply:
% 58.41/9.31 | (7) $false
% 58.41/9.31 |
% 58.41/9.31 | CLOSE: (7) is inconsistent.
% 58.41/9.31 |
% 58.41/9.31 End of proof
% 58.41/9.31
% 58.41/9.31 Sub-proof #15 shows that the following formulas are inconsistent:
% 58.41/9.31 ----------------------------------------------------------------
% 58.41/9.31 (1) all_18_10 = all_4_2
% 58.41/9.31 (2) all_18_10 = e21
% 58.41/9.31 (3) ~ (all_4_2 = e21)
% 58.41/9.31
% 58.41/9.31 Begin of proof
% 58.41/9.31 |
% 58.41/9.31 | COMBINE_EQS: (1), (2) imply:
% 58.41/9.31 | (4) all_4_2 = e21
% 58.41/9.31 |
% 58.41/9.31 | SIMP: (4) implies:
% 58.41/9.31 | (5) all_4_2 = e21
% 58.41/9.31 |
% 58.41/9.31 | REDUCE: (3), (5) imply:
% 58.41/9.31 | (6) $false
% 58.41/9.31 |
% 58.41/9.31 | CLOSE: (6) is inconsistent.
% 58.41/9.31 |
% 58.41/9.31 End of proof
% 58.41/9.31
% 58.41/9.31 Sub-proof #16 shows that the following formulas are inconsistent:
% 58.41/9.31 ----------------------------------------------------------------
% 58.41/9.31 (1) all_18_10 = all_4_2
% 58.41/9.31 (2) all_18_10 = e20
% 58.41/9.31 (3) ~ (all_4_2 = e20)
% 58.41/9.31
% 58.41/9.31 Begin of proof
% 58.41/9.31 |
% 58.41/9.31 | COMBINE_EQS: (1), (2) imply:
% 58.41/9.31 | (4) all_4_2 = e20
% 58.41/9.31 |
% 58.41/9.31 | SIMP: (4) implies:
% 58.41/9.31 | (5) all_4_2 = e20
% 58.41/9.31 |
% 58.41/9.31 | REDUCE: (3), (5) imply:
% 58.41/9.31 | (6) $false
% 58.41/9.31 |
% 58.41/9.31 | CLOSE: (6) is inconsistent.
% 58.41/9.31 |
% 58.41/9.31 End of proof
% 58.41/9.31
% 58.41/9.31 Sub-proof #17 shows that the following formulas are inconsistent:
% 58.41/9.31 ----------------------------------------------------------------
% 58.41/9.31 (1) ~ (e23 = e22)
% 58.41/9.31 (2) ~ (e23 = e21)
% 58.41/9.31 (3) ~ (all_14_2 = e23)
% 58.41/9.31 (4) all_26_2 = e23 | all_26_6 = e23 | all_26_12 = e23
% 58.41/9.31 (5) all_26_2 = e21
% 58.41/9.31 (6) all_26_6 = all_14_2
% 58.41/9.31 (7) all_26_12 = e22
% 58.41/9.31
% 58.41/9.31 Begin of proof
% 58.41/9.31 |
% 58.41/9.31 | BETA: splitting (4) gives:
% 58.41/9.31 |
% 58.41/9.31 | Case 1:
% 58.41/9.31 | |
% 58.41/9.31 | | (8) all_26_2 = e23
% 58.41/9.31 | |
% 58.41/9.31 | | COMBINE_EQS: (5), (8) imply:
% 58.41/9.31 | | (9) e23 = e21
% 58.41/9.31 | |
% 58.41/9.31 | | REDUCE: (2), (9) imply:
% 58.41/9.31 | | (10) $false
% 58.41/9.31 | |
% 58.41/9.31 | | CLOSE: (10) is inconsistent.
% 58.41/9.31 | |
% 58.41/9.31 | Case 2:
% 58.41/9.31 | |
% 58.41/9.31 | | (11) all_26_6 = e23 | all_26_12 = e23
% 58.41/9.31 | |
% 58.41/9.31 | | REF_CLOSE: (1), (3), (6), (7), (11) are inconsistent by sub-proof #18.
% 58.41/9.31 | |
% 58.41/9.31 | End of split
% 58.41/9.31 |
% 58.41/9.31 End of proof
% 58.41/9.31
% 58.41/9.31 Sub-proof #18 shows that the following formulas are inconsistent:
% 58.41/9.31 ----------------------------------------------------------------
% 58.41/9.31 (1) ~ (e23 = e22)
% 58.41/9.31 (2) ~ (all_14_2 = e23)
% 58.41/9.31 (3) all_26_6 = all_14_2
% 58.41/9.31 (4) all_26_6 = e23 | all_26_12 = e23
% 58.41/9.31 (5) all_26_12 = e22
% 58.41/9.31
% 58.41/9.31 Begin of proof
% 58.41/9.31 |
% 58.41/9.31 | BETA: splitting (4) gives:
% 58.41/9.31 |
% 58.41/9.31 | Case 1:
% 58.41/9.31 | |
% 58.41/9.31 | | (6) all_26_6 = e23
% 58.41/9.31 | |
% 58.41/9.31 | | COMBINE_EQS: (3), (6) imply:
% 58.41/9.31 | | (7) all_14_2 = e23
% 58.41/9.31 | |
% 58.41/9.31 | | SIMP: (7) implies:
% 58.41/9.31 | | (8) all_14_2 = e23
% 58.41/9.31 | |
% 58.41/9.31 | | REDUCE: (2), (8) imply:
% 58.41/9.31 | | (9) $false
% 58.41/9.31 | |
% 58.41/9.31 | | CLOSE: (9) is inconsistent.
% 58.41/9.31 | |
% 58.41/9.31 | Case 2:
% 58.41/9.31 | |
% 58.41/9.31 | | (10) all_26_12 = e23
% 58.41/9.31 | |
% 58.41/9.31 | | COMBINE_EQS: (5), (10) imply:
% 58.41/9.31 | | (11) e23 = e22
% 58.41/9.31 | |
% 58.41/9.31 | | REDUCE: (1), (11) imply:
% 58.41/9.31 | | (12) $false
% 58.41/9.31 | |
% 58.41/9.31 | | CLOSE: (12) is inconsistent.
% 58.41/9.31 | |
% 58.41/9.31 | End of split
% 58.41/9.31 |
% 58.41/9.31 End of proof
% 58.41/9.31
% 58.41/9.31 Sub-proof #19 shows that the following formulas are inconsistent:
% 58.41/9.31 ----------------------------------------------------------------
% 58.41/9.31 (1) all_18_9 = all_14_6
% 58.41/9.31 (2) all_18_9 = e23
% 58.41/9.31 (3) ~ (all_14_6 = e23)
% 58.41/9.31
% 58.41/9.31 Begin of proof
% 58.41/9.32 |
% 58.41/9.32 | COMBINE_EQS: (1), (2) imply:
% 58.41/9.32 | (4) all_14_6 = e23
% 58.41/9.32 |
% 58.41/9.32 | SIMP: (4) implies:
% 58.41/9.32 | (5) all_14_6 = e23
% 58.41/9.32 |
% 58.41/9.32 | REDUCE: (3), (5) imply:
% 58.41/9.32 | (6) $false
% 58.41/9.32 |
% 58.41/9.32 | CLOSE: (6) is inconsistent.
% 58.41/9.32 |
% 58.41/9.32 End of proof
% 58.41/9.32
% 58.41/9.32 Sub-proof #20 shows that the following formulas are inconsistent:
% 58.41/9.32 ----------------------------------------------------------------
% 58.41/9.32 (1) all_22_4 = all_4_2
% 58.41/9.32 (2) all_22_4 = all_22_5
% 58.41/9.32 (3) all_22_5 = e21
% 58.41/9.32 (4) ~ (all_4_2 = e21)
% 58.41/9.32
% 58.41/9.32 Begin of proof
% 58.41/9.32 |
% 58.41/9.32 | COMBINE_EQS: (1), (2) imply:
% 58.41/9.32 | (5) all_22_5 = all_4_2
% 58.41/9.32 |
% 58.41/9.32 | COMBINE_EQS: (3), (5) imply:
% 58.41/9.32 | (6) all_4_2 = e21
% 58.41/9.32 |
% 58.41/9.32 | SIMP: (6) implies:
% 58.41/9.32 | (7) all_4_2 = e21
% 58.41/9.32 |
% 58.41/9.32 | REDUCE: (4), (7) imply:
% 58.41/9.32 | (8) $false
% 58.41/9.32 |
% 58.41/9.32 | CLOSE: (8) is inconsistent.
% 58.41/9.32 |
% 58.41/9.32 End of proof
% 58.41/9.32
% 58.41/9.32 Sub-proof #21 shows that the following formulas are inconsistent:
% 58.41/9.32 ----------------------------------------------------------------
% 58.41/9.32 (1) all_22_2 = all_14_4
% 58.41/9.32 (2) all_22_2 = all_22_3
% 58.41/9.32 (3) all_22_3 = e23
% 58.41/9.32 (4) ~ (all_14_4 = e23)
% 58.41/9.32
% 58.41/9.32 Begin of proof
% 58.41/9.32 |
% 58.41/9.32 | COMBINE_EQS: (1), (2) imply:
% 58.41/9.32 | (5) all_22_3 = all_14_4
% 58.41/9.32 |
% 58.41/9.32 | COMBINE_EQS: (3), (5) imply:
% 58.41/9.32 | (6) all_14_4 = e23
% 58.41/9.32 |
% 58.41/9.32 | SIMP: (6) implies:
% 58.41/9.32 | (7) all_14_4 = e23
% 58.41/9.32 |
% 58.41/9.32 | REDUCE: (4), (7) imply:
% 58.41/9.32 | (8) $false
% 58.41/9.32 |
% 58.41/9.32 | CLOSE: (8) is inconsistent.
% 58.41/9.32 |
% 58.41/9.32 End of proof
% 58.41/9.32
% 58.41/9.32 Sub-proof #22 shows that the following formulas are inconsistent:
% 58.41/9.32 ----------------------------------------------------------------
% 58.41/9.32 (1) ~ (e21 = e20)
% 58.41/9.32 (2) all_26_7 = e21 | all_26_13 = e21
% 58.41/9.32 (3) ~ (all_14_6 = e21)
% 58.41/9.32 (4) all_26_13 = e20
% 58.41/9.32 (5) all_26_7 = all_14_6
% 58.41/9.32
% 58.41/9.32 Begin of proof
% 58.41/9.32 |
% 58.41/9.32 | BETA: splitting (2) gives:
% 58.41/9.32 |
% 58.41/9.32 | Case 1:
% 58.41/9.32 | |
% 58.41/9.32 | | (6) all_26_7 = e21
% 58.41/9.32 | |
% 58.41/9.32 | | REF_CLOSE: (3), (5), (6) are inconsistent by sub-proof #41.
% 58.41/9.32 | |
% 58.41/9.32 | Case 2:
% 58.41/9.32 | |
% 58.41/9.32 | | (7) all_26_13 = e21
% 58.41/9.32 | |
% 58.41/9.32 | | COMBINE_EQS: (4), (7) imply:
% 58.41/9.32 | | (8) e21 = e20
% 58.41/9.32 | |
% 58.41/9.32 | | REDUCE: (1), (8) imply:
% 58.41/9.32 | | (9) $false
% 58.41/9.32 | |
% 58.41/9.32 | | CLOSE: (9) is inconsistent.
% 58.41/9.32 | |
% 58.41/9.32 | End of split
% 58.41/9.32 |
% 58.41/9.32 End of proof
% 58.41/9.32
% 58.41/9.32 Sub-proof #23 shows that the following formulas are inconsistent:
% 58.41/9.32 ----------------------------------------------------------------
% 58.41/9.32 (1) all_26_1 = e22
% 58.41/9.32 (2) all_26_1 = e21
% 58.41/9.32 (3) ~ (e22 = e21)
% 58.41/9.32
% 58.41/9.32 Begin of proof
% 58.41/9.32 |
% 58.41/9.32 | COMBINE_EQS: (1), (2) imply:
% 58.41/9.32 | (4) e22 = e21
% 58.41/9.32 |
% 58.41/9.32 | SIMP: (4) implies:
% 58.41/9.32 | (5) e22 = e21
% 58.41/9.32 |
% 58.41/9.32 | REDUCE: (3), (5) imply:
% 58.41/9.32 | (6) $false
% 58.41/9.32 |
% 58.41/9.32 | CLOSE: (6) is inconsistent.
% 58.41/9.32 |
% 58.41/9.32 End of proof
% 58.41/9.32
% 58.41/9.32 Sub-proof #24 shows that the following formulas are inconsistent:
% 58.41/9.32 ----------------------------------------------------------------
% 58.41/9.32 (1) all_26_10 = all_14_13
% 58.41/9.32 (2) ~ (all_14_13 = e23)
% 58.41/9.32 (3) ~ (all_14_9 = e23)
% 58.41/9.32 (4) all_26_5 = all_14_9
% 58.41/9.32 (5) all_26_5 = e23 | all_26_10 = e23
% 58.41/9.32
% 58.41/9.32 Begin of proof
% 58.41/9.32 |
% 58.41/9.32 | BETA: splitting (5) gives:
% 58.41/9.32 |
% 58.41/9.32 | Case 1:
% 58.41/9.32 | |
% 58.41/9.32 | | (6) all_26_5 = e23
% 58.41/9.32 | |
% 58.41/9.32 | | COMBINE_EQS: (4), (6) imply:
% 58.41/9.32 | | (7) all_14_9 = e23
% 58.41/9.32 | |
% 58.41/9.32 | | SIMP: (7) implies:
% 58.41/9.32 | | (8) all_14_9 = e23
% 58.41/9.32 | |
% 58.41/9.32 | | REDUCE: (3), (8) imply:
% 58.41/9.32 | | (9) $false
% 58.41/9.32 | |
% 58.41/9.32 | | CLOSE: (9) is inconsistent.
% 58.41/9.32 | |
% 58.41/9.32 | Case 2:
% 58.41/9.32 | |
% 58.41/9.32 | | (10) all_26_10 = e23
% 58.41/9.32 | |
% 58.41/9.32 | | COMBINE_EQS: (1), (10) imply:
% 58.41/9.32 | | (11) all_14_13 = e23
% 58.41/9.32 | |
% 58.41/9.32 | | SIMP: (11) implies:
% 58.41/9.32 | | (12) all_14_13 = e23
% 58.41/9.32 | |
% 58.41/9.32 | | REDUCE: (2), (12) imply:
% 58.41/9.32 | | (13) $false
% 58.41/9.32 | |
% 58.41/9.32 | | CLOSE: (13) is inconsistent.
% 58.41/9.32 | |
% 58.41/9.32 | End of split
% 58.41/9.32 |
% 58.41/9.32 End of proof
% 58.41/9.32
% 58.41/9.32 Sub-proof #25 shows that the following formulas are inconsistent:
% 58.41/9.32 ----------------------------------------------------------------
% 58.41/9.32 (1) (all_22_21 = e20 & all_22_29 = e21 & ~ (all_22_7 = e23) & ~ (all_22_15
% 58.41/9.32 = e22) & ~ (all_22_23 = e21) & ~ (all_22_31 = e20)) | (all_22_23 =
% 58.41/9.32 e20 & all_22_31 = e21 & ~ (all_22_5 = e23) & ~ (all_22_13 = e22) & ~
% 58.41/9.32 (all_22_21 = e21) & ~ (all_22_29 = e20))
% 58.41/9.32 (2) all_22_21 = e21
% 58.41/9.32 (3) ~ (e21 = e20)
% 58.41/9.32
% 58.41/9.32 Begin of proof
% 58.41/9.32 |
% 58.41/9.32 | BETA: splitting (1) gives:
% 58.41/9.32 |
% 58.41/9.32 | Case 1:
% 58.41/9.32 | |
% 58.41/9.32 | | (4) all_22_21 = e20 & all_22_29 = e21 & ~ (all_22_7 = e23) & ~
% 58.41/9.32 | | (all_22_15 = e22) & ~ (all_22_23 = e21) & ~ (all_22_31 = e20)
% 58.41/9.32 | |
% 58.41/9.32 | | ALPHA: (4) implies:
% 58.41/9.32 | | (5) all_22_21 = e20
% 58.41/9.32 | |
% 58.41/9.32 | | COMBINE_EQS: (2), (5) imply:
% 58.41/9.32 | | (6) e21 = e20
% 58.41/9.32 | |
% 58.41/9.32 | | SIMP: (6) implies:
% 58.41/9.32 | | (7) e21 = e20
% 58.41/9.32 | |
% 58.41/9.32 | | REDUCE: (3), (7) imply:
% 58.41/9.32 | | (8) $false
% 58.41/9.32 | |
% 58.41/9.32 | | CLOSE: (8) is inconsistent.
% 58.41/9.32 | |
% 58.41/9.32 | Case 2:
% 58.41/9.32 | |
% 58.41/9.32 | | (9) all_22_23 = e20 & all_22_31 = e21 & ~ (all_22_5 = e23) & ~
% 58.41/9.32 | | (all_22_13 = e22) & ~ (all_22_21 = e21) & ~ (all_22_29 = e20)
% 58.41/9.32 | |
% 58.41/9.32 | | ALPHA: (9) implies:
% 58.41/9.32 | | (10) ~ (all_22_21 = e21)
% 58.41/9.32 | |
% 58.41/9.32 | | REDUCE: (2), (10) imply:
% 58.41/9.32 | | (11) $false
% 58.41/9.32 | |
% 58.41/9.32 | | CLOSE: (11) is inconsistent.
% 58.41/9.32 | |
% 58.41/9.32 | End of split
% 58.41/9.32 |
% 58.41/9.32 End of proof
% 58.41/9.32
% 58.41/9.32 Sub-proof #26 shows that the following formulas are inconsistent:
% 58.41/9.32 ----------------------------------------------------------------
% 58.41/9.32 (1) all_22_27 = e23
% 58.41/9.32 (2) all_22_27 = e22
% 58.41/9.32 (3) ~ (e23 = e22)
% 58.41/9.32
% 58.41/9.32 Begin of proof
% 58.41/9.32 |
% 58.41/9.32 | COMBINE_EQS: (1), (2) imply:
% 58.41/9.32 | (4) e23 = e22
% 58.41/9.32 |
% 58.41/9.32 | SIMP: (4) implies:
% 58.41/9.32 | (5) e23 = e22
% 58.41/9.32 |
% 58.41/9.32 | REDUCE: (3), (5) imply:
% 58.41/9.32 | (6) $false
% 58.41/9.32 |
% 58.41/9.32 | CLOSE: (6) is inconsistent.
% 58.41/9.32 |
% 58.41/9.32 End of proof
% 58.41/9.32
% 58.41/9.32 Sub-proof #27 shows that the following formulas are inconsistent:
% 58.41/9.32 ----------------------------------------------------------------
% 58.41/9.32 (1) all_22_7 = e22
% 58.41/9.32 (2) ~ (e23 = e21)
% 58.41/9.32 (3) all_22_21 = e21
% 58.41/9.32 (4) (all_22_5 = e21 & all_22_21 = e23 & ~ (all_22_1 = e23) & ~ (all_22_9 =
% 58.41/9.32 e22) & ~ (all_22_17 = e21) & ~ (all_22_25 = e20)) | (all_22_7 = e20
% 58.41/9.32 & all_22_31 = e23 & ~ (all_22_1 = e23) & ~ (all_22_9 = e22) & ~
% 58.41/9.32 (all_22_17 = e21) & ~ (all_22_25 = e20))
% 58.41/9.32 (5) ~ (e22 = e20)
% 58.41/9.32
% 58.41/9.32 Begin of proof
% 58.41/9.32 |
% 58.41/9.32 | BETA: splitting (4) gives:
% 58.41/9.32 |
% 58.41/9.32 | Case 1:
% 58.41/9.32 | |
% 58.41/9.32 | | (6) all_22_5 = e21 & all_22_21 = e23 & ~ (all_22_1 = e23) & ~ (all_22_9
% 58.41/9.32 | | = e22) & ~ (all_22_17 = e21) & ~ (all_22_25 = e20)
% 58.41/9.32 | |
% 58.41/9.32 | | ALPHA: (6) implies:
% 58.41/9.32 | | (7) all_22_21 = e23
% 58.41/9.32 | |
% 58.41/9.32 | | COMBINE_EQS: (3), (7) imply:
% 58.41/9.32 | | (8) e23 = e21
% 58.41/9.32 | |
% 58.41/9.32 | | REDUCE: (2), (8) imply:
% 58.41/9.32 | | (9) $false
% 58.41/9.32 | |
% 58.41/9.32 | | CLOSE: (9) is inconsistent.
% 58.41/9.32 | |
% 58.41/9.32 | Case 2:
% 58.41/9.32 | |
% 58.41/9.32 | | (10) all_22_7 = e20 & all_22_31 = e23 & ~ (all_22_1 = e23) & ~
% 58.41/9.32 | | (all_22_9 = e22) & ~ (all_22_17 = e21) & ~ (all_22_25 = e20)
% 58.41/9.32 | |
% 58.41/9.32 | | ALPHA: (10) implies:
% 58.41/9.32 | | (11) all_22_7 = e20
% 58.41/9.32 | |
% 58.41/9.32 | | COMBINE_EQS: (1), (11) imply:
% 58.41/9.32 | | (12) e22 = e20
% 58.41/9.32 | |
% 58.41/9.32 | | SIMP: (12) implies:
% 58.41/9.32 | | (13) e22 = e20
% 58.41/9.32 | |
% 58.41/9.32 | | REDUCE: (5), (13) imply:
% 58.41/9.32 | | (14) $false
% 58.41/9.32 | |
% 58.41/9.32 | | CLOSE: (14) is inconsistent.
% 58.41/9.32 | |
% 58.41/9.32 | End of split
% 58.41/9.32 |
% 58.41/9.32 End of proof
% 58.41/9.32
% 58.41/9.32 Sub-proof #28 shows that the following formulas are inconsistent:
% 58.41/9.32 ----------------------------------------------------------------
% 58.41/9.32 (1) ~ (e21 = e20)
% 58.41/9.32 (2) all_22_1 = e20
% 58.41/9.32 (3) (all_22_1 = e22 & all_22_9 = e23 & ~ (all_22_3 = e23) & ~ (all_22_11 =
% 58.41/9.32 e22) & ~ (all_22_19 = e21) & ~ (all_22_27 = e20)) | (all_22_1 = e21
% 58.41/9.32 & all_22_17 = e23 & ~ (all_22_5 = e23) & ~ (all_22_13 = e22) & ~
% 58.41/9.32 (all_22_21 = e21) & ~ (all_22_29 = e20)) | (all_22_1 = e20 & all_22_25
% 58.41/9.32 = e23 & ~ (all_22_7 = e23) & ~ (all_22_15 = e22) & ~ (all_22_23 =
% 58.41/9.32 e21) & ~ (all_22_31 = e20))
% 58.41/9.32 (4) ~ (all_14_12 = e23)
% 58.41/9.32 (5) all_22_25 = all_14_12
% 58.41/9.32 (6) ~ (e22 = e20)
% 58.41/9.32
% 58.41/9.32 Begin of proof
% 58.41/9.32 |
% 58.41/9.32 | BETA: splitting (3) gives:
% 58.41/9.32 |
% 58.41/9.32 | Case 1:
% 58.41/9.32 | |
% 58.41/9.32 | | (7) all_22_1 = e22 & all_22_9 = e23 & ~ (all_22_3 = e23) & ~ (all_22_11
% 58.41/9.32 | | = e22) & ~ (all_22_19 = e21) & ~ (all_22_27 = e20)
% 58.41/9.32 | |
% 58.41/9.32 | | ALPHA: (7) implies:
% 58.41/9.32 | | (8) all_22_1 = e22
% 58.41/9.32 | |
% 58.41/9.32 | | COMBINE_EQS: (2), (8) imply:
% 58.41/9.32 | | (9) e22 = e20
% 58.41/9.32 | |
% 58.41/9.32 | | REDUCE: (6), (9) imply:
% 58.41/9.32 | | (10) $false
% 58.41/9.32 | |
% 58.41/9.32 | | CLOSE: (10) is inconsistent.
% 58.41/9.32 | |
% 58.41/9.32 | Case 2:
% 58.41/9.32 | |
% 58.41/9.32 | | (11) (all_22_1 = e21 & all_22_17 = e23 & ~ (all_22_5 = e23) & ~
% 58.41/9.32 | | (all_22_13 = e22) & ~ (all_22_21 = e21) & ~ (all_22_29 = e20)) |
% 58.41/9.32 | | (all_22_1 = e20 & all_22_25 = e23 & ~ (all_22_7 = e23) & ~
% 58.41/9.32 | | (all_22_15 = e22) & ~ (all_22_23 = e21) & ~ (all_22_31 = e20))
% 58.41/9.32 | |
% 58.41/9.32 | | BETA: splitting (11) gives:
% 58.41/9.32 | |
% 58.41/9.32 | | Case 1:
% 58.41/9.32 | | |
% 58.41/9.32 | | | (12) all_22_1 = e21 & all_22_17 = e23 & ~ (all_22_5 = e23) & ~
% 58.41/9.32 | | | (all_22_13 = e22) & ~ (all_22_21 = e21) & ~ (all_22_29 = e20)
% 58.41/9.32 | | |
% 58.41/9.32 | | | ALPHA: (12) implies:
% 58.41/9.32 | | | (13) all_22_1 = e21
% 58.41/9.32 | | |
% 58.41/9.32 | | | COMBINE_EQS: (2), (13) imply:
% 58.41/9.32 | | | (14) e21 = e20
% 58.41/9.32 | | |
% 58.41/9.32 | | | REDUCE: (1), (14) imply:
% 58.41/9.32 | | | (15) $false
% 58.41/9.32 | | |
% 58.41/9.32 | | | CLOSE: (15) is inconsistent.
% 58.41/9.32 | | |
% 58.41/9.32 | | Case 2:
% 58.41/9.32 | | |
% 58.41/9.32 | | | (16) all_22_1 = e20 & all_22_25 = e23 & ~ (all_22_7 = e23) & ~
% 58.41/9.32 | | | (all_22_15 = e22) & ~ (all_22_23 = e21) & ~ (all_22_31 = e20)
% 58.41/9.32 | | |
% 58.41/9.32 | | | REF_CLOSE: (4), (5), (16) are inconsistent by sub-proof #29.
% 58.41/9.32 | | |
% 58.41/9.32 | | End of split
% 58.41/9.32 | |
% 58.41/9.32 | End of split
% 58.41/9.32 |
% 58.41/9.32 End of proof
% 58.41/9.32
% 58.41/9.32 Sub-proof #29 shows that the following formulas are inconsistent:
% 58.41/9.32 ----------------------------------------------------------------
% 58.41/9.32 (1) all_22_1 = e20 & all_22_25 = e23 & ~ (all_22_7 = e23) & ~ (all_22_15 =
% 58.41/9.32 e22) & ~ (all_22_23 = e21) & ~ (all_22_31 = e20)
% 58.41/9.32 (2) all_22_25 = all_14_12
% 58.41/9.32 (3) ~ (all_14_12 = e23)
% 58.41/9.32
% 58.41/9.32 Begin of proof
% 58.41/9.32 |
% 58.41/9.32 | ALPHA: (1) implies:
% 58.41/9.32 | (4) all_22_25 = e23
% 58.41/9.32 |
% 58.41/9.32 | COMBINE_EQS: (2), (4) imply:
% 58.41/9.32 | (5) all_14_12 = e23
% 58.41/9.32 |
% 58.41/9.32 | SIMP: (5) implies:
% 58.41/9.32 | (6) all_14_12 = e23
% 58.41/9.32 |
% 58.41/9.32 | REDUCE: (3), (6) imply:
% 58.41/9.32 | (7) $false
% 58.41/9.32 |
% 58.41/9.32 | CLOSE: (7) is inconsistent.
% 58.41/9.32 |
% 58.41/9.33 End of proof
% 58.41/9.33
% 58.41/9.33 Sub-proof #30 shows that the following formulas are inconsistent:
% 58.41/9.33 ----------------------------------------------------------------
% 58.41/9.33 (1) ~ (all_14_8 = e22)
% 58.41/9.33 (2) ~ (all_14_8 = e20)
% 58.41/9.33 (3) ~ (all_14_8 = e21)
% 58.41/9.33 (4) all_18_2 = e22 | all_18_2 = e21 | all_18_2 = e20
% 58.41/9.33 (5) all_18_2 = all_14_8
% 58.41/9.33
% 58.41/9.33 Begin of proof
% 58.41/9.33 |
% 58.41/9.33 | BETA: splitting (4) gives:
% 58.41/9.33 |
% 58.41/9.33 | Case 1:
% 58.41/9.33 | |
% 58.41/9.33 | | (6) all_18_2 = e20
% 58.41/9.33 | |
% 58.41/9.33 | | REF_CLOSE: (2), (5), (6) are inconsistent by sub-proof #40.
% 58.41/9.33 | |
% 58.41/9.33 | Case 2:
% 58.41/9.33 | |
% 58.41/9.33 | | (7) all_18_2 = e22 | all_18_2 = e21
% 58.41/9.33 | |
% 58.41/9.33 | | REF_CLOSE: (1), (3), (5), (7) are inconsistent by sub-proof #35.
% 58.41/9.33 | |
% 58.41/9.33 | End of split
% 58.41/9.33 |
% 58.41/9.33 End of proof
% 58.41/9.33
% 58.41/9.33 Sub-proof #31 shows that the following formulas are inconsistent:
% 58.41/9.33 ----------------------------------------------------------------
% 58.41/9.33 (1) all_26_3 = e20
% 58.41/9.33 (2) all_26_7 = e21
% 58.41/9.33 (3) ~ (e22 = e21)
% 58.41/9.33 (4) ~ (e23 = e22)
% 58.41/9.33 (5) all_26_3 = e22 | all_26_7 = e22 | all_26_13 = e22
% 58.41/9.33 (6) all_26_13 = e23
% 58.41/9.33 (7) ~ (e22 = e20)
% 58.41/9.33
% 58.41/9.33 Begin of proof
% 58.41/9.33 |
% 58.41/9.33 | BETA: splitting (5) gives:
% 58.41/9.33 |
% 58.41/9.33 | Case 1:
% 58.41/9.33 | |
% 58.41/9.33 | | (8) all_26_3 = e22
% 58.41/9.33 | |
% 58.41/9.33 | | COMBINE_EQS: (1), (8) imply:
% 58.41/9.33 | | (9) e22 = e20
% 58.41/9.33 | |
% 58.41/9.33 | | REDUCE: (7), (9) imply:
% 58.41/9.33 | | (10) $false
% 58.41/9.33 | |
% 58.41/9.33 | | CLOSE: (10) is inconsistent.
% 58.41/9.33 | |
% 58.41/9.33 | Case 2:
% 58.41/9.33 | |
% 58.41/9.33 | | (11) all_26_7 = e22 | all_26_13 = e22
% 58.41/9.33 | |
% 58.41/9.33 | | BETA: splitting (11) gives:
% 58.41/9.33 | |
% 58.41/9.33 | | Case 1:
% 58.41/9.33 | | |
% 58.41/9.33 | | | (12) all_26_7 = e22
% 58.41/9.33 | | |
% 58.41/9.33 | | | COMBINE_EQS: (2), (12) imply:
% 58.41/9.33 | | | (13) e22 = e21
% 58.41/9.33 | | |
% 58.41/9.33 | | | REDUCE: (3), (13) imply:
% 58.41/9.33 | | | (14) $false
% 58.41/9.33 | | |
% 58.41/9.33 | | | CLOSE: (14) is inconsistent.
% 58.41/9.33 | | |
% 58.41/9.33 | | Case 2:
% 58.41/9.33 | | |
% 58.41/9.33 | | | (15) all_26_13 = e22
% 58.41/9.33 | | |
% 58.41/9.33 | | | COMBINE_EQS: (6), (15) imply:
% 58.41/9.33 | | | (16) e23 = e22
% 58.41/9.33 | | |
% 58.41/9.33 | | | SIMP: (16) implies:
% 58.41/9.33 | | | (17) e23 = e22
% 58.41/9.33 | | |
% 58.41/9.33 | | | REDUCE: (4), (17) imply:
% 58.41/9.33 | | | (18) $false
% 58.41/9.33 | | |
% 58.41/9.33 | | | CLOSE: (18) is inconsistent.
% 58.41/9.33 | | |
% 58.41/9.33 | | End of split
% 58.41/9.33 | |
% 58.41/9.33 | End of split
% 58.41/9.33 |
% 58.41/9.33 End of proof
% 58.41/9.33
% 58.41/9.33 Sub-proof #32 shows that the following formulas are inconsistent:
% 58.41/9.33 ----------------------------------------------------------------
% 58.41/9.33 (1) all_22_22 = e21
% 58.41/9.33 (2) all_22_22 = all_22_23
% 58.41/9.33 (3) all_22_23 = e20
% 58.41/9.33 (4) ~ (e21 = e20)
% 58.41/9.33
% 58.41/9.33 Begin of proof
% 58.41/9.33 |
% 58.41/9.33 | COMBINE_EQS: (1), (2) imply:
% 58.41/9.33 | (5) all_22_23 = e21
% 58.41/9.33 |
% 58.41/9.33 | COMBINE_EQS: (3), (5) imply:
% 58.41/9.33 | (6) e21 = e20
% 58.41/9.33 |
% 58.41/9.33 | SIMP: (6) implies:
% 58.41/9.33 | (7) e21 = e20
% 58.41/9.33 |
% 58.41/9.33 | REDUCE: (4), (7) imply:
% 58.41/9.33 | (8) $false
% 58.41/9.33 |
% 58.41/9.33 | CLOSE: (8) is inconsistent.
% 58.41/9.33 |
% 58.41/9.33 End of proof
% 58.41/9.33
% 58.41/9.33 Sub-proof #33 shows that the following formulas are inconsistent:
% 58.41/9.33 ----------------------------------------------------------------
% 58.41/9.33 (1) all_26_3 = all_6_2
% 58.41/9.33 (2) all_26_3 = e21
% 58.41/9.33 (3) ~ (all_6_2 = e21)
% 58.41/9.33
% 58.41/9.33 Begin of proof
% 58.41/9.33 |
% 58.41/9.33 | COMBINE_EQS: (1), (2) imply:
% 58.41/9.33 | (4) all_6_2 = e21
% 58.41/9.33 |
% 58.41/9.33 | SIMP: (4) implies:
% 58.41/9.33 | (5) all_6_2 = e21
% 58.41/9.33 |
% 58.41/9.33 | REDUCE: (3), (5) imply:
% 58.41/9.33 | (6) $false
% 58.41/9.33 |
% 58.41/9.33 | CLOSE: (6) is inconsistent.
% 58.41/9.33 |
% 58.41/9.33 End of proof
% 58.41/9.33
% 58.41/9.33 Sub-proof #34 shows that the following formulas are inconsistent:
% 58.41/9.33 ----------------------------------------------------------------
% 58.41/9.33 (1) all_26_11 = all_10_0
% 58.41/9.33 (2) all_26_11 = e21
% 58.41/9.33 (3) ~ (all_10_0 = e21)
% 58.41/9.33
% 58.41/9.33 Begin of proof
% 58.41/9.33 |
% 58.41/9.33 | COMBINE_EQS: (1), (2) imply:
% 58.41/9.33 | (4) all_10_0 = e21
% 58.41/9.33 |
% 58.41/9.33 | SIMP: (4) implies:
% 58.41/9.33 | (5) all_10_0 = e21
% 58.41/9.33 |
% 58.41/9.33 | REDUCE: (3), (5) imply:
% 58.41/9.33 | (6) $false
% 58.41/9.33 |
% 58.41/9.33 | CLOSE: (6) is inconsistent.
% 58.41/9.33 |
% 58.41/9.33 End of proof
% 58.41/9.33
% 58.41/9.33 Sub-proof #35 shows that the following formulas are inconsistent:
% 58.41/9.33 ----------------------------------------------------------------
% 58.41/9.33 (1) all_18_2 = e22 | all_18_2 = e21
% 58.41/9.33 (2) all_18_2 = all_14_8
% 58.41/9.33 (3) ~ (all_14_8 = e22)
% 58.41/9.33 (4) ~ (all_14_8 = e21)
% 58.41/9.33
% 58.41/9.33 Begin of proof
% 58.41/9.33 |
% 58.41/9.33 | BETA: splitting (1) gives:
% 58.41/9.33 |
% 58.41/9.33 | Case 1:
% 58.41/9.33 | |
% 58.41/9.33 | | (5) all_18_2 = e22
% 58.41/9.33 | |
% 58.41/9.33 | | COMBINE_EQS: (2), (5) imply:
% 58.41/9.33 | | (6) all_14_8 = e22
% 58.41/9.33 | |
% 58.41/9.33 | | SIMP: (6) implies:
% 58.41/9.33 | | (7) all_14_8 = e22
% 58.41/9.33 | |
% 58.41/9.33 | | REDUCE: (3), (7) imply:
% 58.41/9.33 | | (8) $false
% 58.41/9.33 | |
% 58.41/9.33 | | CLOSE: (8) is inconsistent.
% 58.41/9.33 | |
% 58.41/9.33 | Case 2:
% 58.41/9.33 | |
% 58.41/9.33 | | (9) all_18_2 = e21
% 58.41/9.33 | |
% 58.41/9.33 | | COMBINE_EQS: (2), (9) imply:
% 58.41/9.33 | | (10) all_14_8 = e21
% 58.41/9.33 | |
% 58.41/9.33 | | SIMP: (10) implies:
% 58.41/9.33 | | (11) all_14_8 = e21
% 58.41/9.33 | |
% 58.41/9.33 | | REDUCE: (4), (11) imply:
% 58.41/9.33 | | (12) $false
% 58.41/9.33 | |
% 58.41/9.33 | | CLOSE: (12) is inconsistent.
% 58.41/9.33 | |
% 58.41/9.33 | End of split
% 58.41/9.33 |
% 58.41/9.33 End of proof
% 58.41/9.33
% 58.41/9.33 Sub-proof #36 shows that the following formulas are inconsistent:
% 58.41/9.33 ----------------------------------------------------------------
% 58.41/9.33 (1) all_26_10 = e22
% 58.41/9.33 (2) all_26_10 = e20
% 58.41/9.33 (3) ~ (e22 = e20)
% 58.41/9.33
% 58.41/9.33 Begin of proof
% 58.41/9.33 |
% 58.41/9.33 | COMBINE_EQS: (1), (2) imply:
% 58.41/9.33 | (4) e22 = e20
% 58.41/9.33 |
% 58.41/9.33 | SIMP: (4) implies:
% 58.41/9.33 | (5) e22 = e20
% 58.41/9.33 |
% 58.41/9.33 | REDUCE: (3), (5) imply:
% 58.41/9.33 | (6) $false
% 58.41/9.33 |
% 58.41/9.33 | CLOSE: (6) is inconsistent.
% 58.41/9.33 |
% 58.41/9.33 End of proof
% 58.41/9.33
% 58.41/9.33 Sub-proof #37 shows that the following formulas are inconsistent:
% 58.41/9.33 ----------------------------------------------------------------
% 58.41/9.33 (1) all_26_15 = e21
% 58.41/9.33 (2) all_26_14 = all_14_11
% 58.41/9.33 (3) all_26_12 = e23 | all_26_13 = e23 | all_26_14 = e23 | all_26_15 = e23
% 58.41/9.33 (4) ~ (e23 = e22)
% 58.41/9.33 (5) all_26_7 = e22
% 58.41/9.33 (6) all_26_7 = e20 | all_26_13 = e20
% 58.41/9.33 (7) ~ (all_14_11 = e23)
% 58.41/9.33 (8) ~ (e23 = e21)
% 58.41/9.33 (9) ~ (e23 = e20)
% 58.41/9.33 (10) ~ (e22 = e20)
% 58.41/9.33 (11) all_26_12 = e22
% 58.41/9.33
% 58.41/9.33 Begin of proof
% 58.41/9.33 |
% 58.41/9.33 | BETA: splitting (6) gives:
% 58.41/9.33 |
% 58.41/9.33 | Case 1:
% 58.41/9.33 | |
% 58.41/9.33 | | (12) all_26_7 = e20
% 58.41/9.33 | |
% 58.41/9.33 | | COMBINE_EQS: (5), (12) imply:
% 58.41/9.33 | | (13) e22 = e20
% 58.41/9.33 | |
% 58.41/9.33 | | SIMP: (13) implies:
% 58.41/9.33 | | (14) e22 = e20
% 58.41/9.33 | |
% 58.41/9.33 | | REDUCE: (10), (14) imply:
% 58.41/9.33 | | (15) $false
% 58.41/9.33 | |
% 58.41/9.33 | | CLOSE: (15) is inconsistent.
% 58.41/9.33 | |
% 58.41/9.33 | Case 2:
% 58.41/9.33 | |
% 58.41/9.33 | | (16) all_26_13 = e20
% 58.41/9.33 | |
% 58.41/9.33 | | REF_CLOSE: (1), (2), (3), (4), (7), (8), (9), (11), (16) are inconsistent by
% 58.41/9.33 | | sub-proof #44.
% 58.41/9.33 | |
% 58.41/9.33 | End of split
% 58.41/9.33 |
% 58.41/9.33 End of proof
% 58.41/9.33
% 58.41/9.33 Sub-proof #38 shows that the following formulas are inconsistent:
% 58.41/9.33 ----------------------------------------------------------------
% 58.41/9.33 (1) ~ (e21 = e20)
% 58.41/9.33 (2) all_26_7 = e22
% 58.41/9.33 (3) ~ (all_10_0 = e20)
% 58.41/9.33 (4) all_26_11 = all_10_0
% 58.41/9.33 (5) all_26_7 = e20 | all_26_8 = e20 | all_26_11 = e20
% 58.41/9.33 (6) all_26_8 = e21
% 58.41/9.33 (7) ~ (e22 = e20)
% 58.41/9.33
% 58.41/9.33 Begin of proof
% 58.41/9.33 |
% 58.41/9.33 | BETA: splitting (5) gives:
% 58.41/9.33 |
% 58.41/9.33 | Case 1:
% 58.41/9.33 | |
% 58.41/9.33 | | (8) all_26_7 = e20
% 58.41/9.33 | |
% 58.41/9.33 | | COMBINE_EQS: (2), (8) imply:
% 58.41/9.33 | | (9) e22 = e20
% 58.41/9.33 | |
% 58.41/9.33 | | REDUCE: (7), (9) imply:
% 58.41/9.33 | | (10) $false
% 58.41/9.33 | |
% 58.41/9.33 | | CLOSE: (10) is inconsistent.
% 58.41/9.33 | |
% 58.41/9.33 | Case 2:
% 58.41/9.33 | |
% 58.41/9.33 | | (11) all_26_8 = e20 | all_26_11 = e20
% 58.41/9.33 | |
% 58.41/9.33 | | BETA: splitting (11) gives:
% 58.41/9.33 | |
% 58.41/9.33 | | Case 1:
% 58.41/9.33 | | |
% 58.41/9.33 | | | (12) all_26_8 = e20
% 58.41/9.33 | | |
% 58.41/9.33 | | | COMBINE_EQS: (6), (12) imply:
% 58.41/9.33 | | | (13) e21 = e20
% 58.41/9.33 | | |
% 58.41/9.33 | | | REDUCE: (1), (13) imply:
% 58.41/9.33 | | | (14) $false
% 58.41/9.33 | | |
% 58.41/9.33 | | | CLOSE: (14) is inconsistent.
% 58.41/9.33 | | |
% 58.41/9.33 | | Case 2:
% 58.41/9.33 | | |
% 58.41/9.33 | | | (15) all_26_11 = e20
% 58.41/9.33 | | |
% 58.41/9.33 | | | REF_CLOSE: (3), (4), (15) are inconsistent by sub-proof #39.
% 58.41/9.33 | | |
% 58.41/9.33 | | End of split
% 58.41/9.33 | |
% 58.41/9.33 | End of split
% 58.41/9.33 |
% 58.41/9.33 End of proof
% 58.41/9.33
% 58.41/9.33 Sub-proof #39 shows that the following formulas are inconsistent:
% 58.41/9.33 ----------------------------------------------------------------
% 58.41/9.33 (1) all_26_11 = all_10_0
% 58.41/9.33 (2) all_26_11 = e20
% 58.41/9.33 (3) ~ (all_10_0 = e20)
% 58.41/9.33
% 58.41/9.33 Begin of proof
% 58.41/9.33 |
% 58.41/9.33 | COMBINE_EQS: (1), (2) imply:
% 58.41/9.33 | (4) all_10_0 = e20
% 58.41/9.33 |
% 58.41/9.33 | SIMP: (4) implies:
% 58.41/9.33 | (5) all_10_0 = e20
% 58.41/9.33 |
% 58.41/9.33 | REDUCE: (3), (5) imply:
% 58.41/9.33 | (6) $false
% 58.41/9.33 |
% 58.41/9.33 | CLOSE: (6) is inconsistent.
% 58.41/9.33 |
% 58.41/9.33 End of proof
% 58.41/9.33
% 58.41/9.33 Sub-proof #40 shows that the following formulas are inconsistent:
% 58.41/9.33 ----------------------------------------------------------------
% 58.41/9.33 (1) all_18_2 = all_14_8
% 58.41/9.33 (2) all_18_2 = e20
% 58.41/9.33 (3) ~ (all_14_8 = e20)
% 58.41/9.33
% 58.41/9.33 Begin of proof
% 58.41/9.33 |
% 58.41/9.33 | COMBINE_EQS: (1), (2) imply:
% 58.41/9.33 | (4) all_14_8 = e20
% 58.41/9.33 |
% 58.41/9.33 | SIMP: (4) implies:
% 58.41/9.33 | (5) all_14_8 = e20
% 58.41/9.33 |
% 58.41/9.33 | REDUCE: (3), (5) imply:
% 58.41/9.33 | (6) $false
% 58.41/9.33 |
% 58.41/9.33 | CLOSE: (6) is inconsistent.
% 58.41/9.33 |
% 58.41/9.33 End of proof
% 58.41/9.33
% 58.41/9.33 Sub-proof #41 shows that the following formulas are inconsistent:
% 58.41/9.33 ----------------------------------------------------------------
% 58.41/9.33 (1) all_26_7 = all_14_6
% 58.41/9.33 (2) all_26_7 = e21
% 58.41/9.33 (3) ~ (all_14_6 = e21)
% 58.41/9.33
% 58.41/9.33 Begin of proof
% 58.41/9.33 |
% 58.41/9.33 | COMBINE_EQS: (1), (2) imply:
% 58.41/9.33 | (4) all_14_6 = e21
% 58.41/9.33 |
% 58.41/9.33 | SIMP: (4) implies:
% 58.41/9.33 | (5) all_14_6 = e21
% 58.41/9.33 |
% 58.41/9.33 | REDUCE: (3), (5) imply:
% 58.41/9.33 | (6) $false
% 58.41/9.33 |
% 58.41/9.33 | CLOSE: (6) is inconsistent.
% 58.41/9.33 |
% 58.41/9.33 End of proof
% 58.41/9.33
% 58.41/9.33 Sub-proof #42 shows that the following formulas are inconsistent:
% 58.41/9.33 ----------------------------------------------------------------
% 58.41/9.33 (1) all_26_6 = e23
% 58.41/9.33 (2) all_26_6 = e21
% 58.41/9.33 (3) ~ (e23 = e21)
% 58.41/9.33
% 58.41/9.33 Begin of proof
% 58.41/9.33 |
% 58.41/9.33 | COMBINE_EQS: (1), (2) imply:
% 58.41/9.33 | (4) e23 = e21
% 58.41/9.33 |
% 58.41/9.33 | SIMP: (4) implies:
% 58.41/9.33 | (5) e23 = e21
% 58.41/9.33 |
% 58.41/9.33 | REDUCE: (3), (5) imply:
% 58.41/9.33 | (6) $false
% 58.41/9.33 |
% 58.41/9.33 | CLOSE: (6) is inconsistent.
% 58.41/9.33 |
% 58.41/9.33 End of proof
% 58.41/9.33
% 58.41/9.33 Sub-proof #43 shows that the following formulas are inconsistent:
% 58.41/9.33 ----------------------------------------------------------------
% 58.41/9.33 (1) all_26_15 = e21
% 58.41/9.33 (2) all_26_14 = all_14_11
% 58.41/9.33 (3) all_26_12 = e23 | all_26_13 = e23 | all_26_14 = e23 | all_26_15 = e23
% 58.41/9.33 (4) ~ (e23 = e22)
% 58.41/9.33 (5) ~ (all_14_11 = e23)
% 58.41/9.33 (6) ~ (e23 = e21)
% 58.41/9.33 (7) all_26_13 = e23
% 58.41/9.33 (8) ~ (e23 = e20)
% 58.41/9.33 (9) e23 = e20
% 58.41/9.33 (10) all_26_12 = e22
% 58.41/9.33
% 58.41/9.33 Begin of proof
% 58.41/9.33 |
% 58.41/9.33 | SIMP: (9) implies:
% 58.41/9.33 | (11) e23 = e20
% 58.41/9.33 |
% 58.41/9.33 | COMBINE_EQS: (7), (11) imply:
% 58.41/9.33 | (12) all_26_13 = e20
% 58.41/9.33 |
% 58.41/9.33 | REF_CLOSE: (1), (2), (3), (4), (5), (6), (8), (10), (12) are inconsistent by
% 58.41/9.33 | sub-proof #44.
% 58.41/9.33 |
% 58.41/9.33 End of proof
% 58.41/9.33
% 58.41/9.33 Sub-proof #44 shows that the following formulas are inconsistent:
% 58.41/9.33 ----------------------------------------------------------------
% 58.41/9.33 (1) all_26_15 = e21
% 58.41/9.33 (2) all_26_14 = all_14_11
% 58.41/9.33 (3) all_26_12 = e23 | all_26_13 = e23 | all_26_14 = e23 | all_26_15 = e23
% 58.41/9.33 (4) ~ (e23 = e22)
% 58.41/9.33 (5) ~ (all_14_11 = e23)
% 58.41/9.33 (6) ~ (e23 = e21)
% 58.41/9.33 (7) ~ (e23 = e20)
% 58.41/9.33 (8) all_26_13 = e20
% 58.41/9.33 (9) all_26_12 = e22
% 58.41/9.33
% 58.41/9.33 Begin of proof
% 58.41/9.33 |
% 58.41/9.33 | BETA: splitting (3) gives:
% 58.41/9.33 |
% 58.41/9.33 | Case 1:
% 58.41/9.33 | |
% 58.41/9.33 | | (10) all_26_12 = e23
% 58.41/9.33 | |
% 58.41/9.33 | | COMBINE_EQS: (9), (10) imply:
% 58.41/9.33 | | (11) e23 = e22
% 58.41/9.33 | |
% 58.41/9.33 | | REDUCE: (4), (11) imply:
% 58.41/9.33 | | (12) $false
% 58.41/9.33 | |
% 58.41/9.33 | | CLOSE: (12) is inconsistent.
% 58.41/9.33 | |
% 58.41/9.33 | Case 2:
% 58.41/9.33 | |
% 58.41/9.33 | | (13) all_26_13 = e23 | all_26_14 = e23 | all_26_15 = e23
% 58.41/9.33 | |
% 58.41/9.33 | | BETA: splitting (13) gives:
% 58.41/9.33 | |
% 58.41/9.33 | | Case 1:
% 58.41/9.33 | | |
% 58.41/9.33 | | | (14) all_26_13 = e23
% 58.41/9.33 | | |
% 58.41/9.33 | | | COMBINE_EQS: (8), (14) imply:
% 58.41/9.33 | | | (15) e23 = e20
% 58.41/9.33 | | |
% 58.41/9.33 | | | REDUCE: (7), (15) imply:
% 58.41/9.33 | | | (16) $false
% 58.41/9.33 | | |
% 58.41/9.33 | | | CLOSE: (16) is inconsistent.
% 58.41/9.33 | | |
% 58.41/9.33 | | Case 2:
% 58.41/9.33 | | |
% 58.41/9.33 | | | (17) all_26_14 = e23 | all_26_15 = e23
% 58.41/9.33 | | |
% 58.41/9.33 | | | BETA: splitting (17) gives:
% 58.41/9.33 | | |
% 58.41/9.33 | | | Case 1:
% 58.41/9.33 | | | |
% 58.41/9.33 | | | | (18) all_26_14 = e23
% 58.41/9.33 | | | |
% 58.41/9.33 | | | | COMBINE_EQS: (2), (18) imply:
% 58.41/9.33 | | | | (19) all_14_11 = e23
% 58.41/9.33 | | | |
% 58.41/9.33 | | | | SIMP: (19) implies:
% 58.41/9.33 | | | | (20) all_14_11 = e23
% 58.41/9.33 | | | |
% 58.41/9.33 | | | | REDUCE: (5), (20) imply:
% 58.41/9.33 | | | | (21) $false
% 58.41/9.33 | | | |
% 58.41/9.33 | | | | CLOSE: (21) is inconsistent.
% 58.41/9.33 | | | |
% 58.41/9.33 | | | Case 2:
% 58.41/9.33 | | | |
% 58.41/9.33 | | | | (22) all_26_15 = e23
% 58.41/9.33 | | | |
% 58.41/9.33 | | | | COMBINE_EQS: (1), (22) imply:
% 58.41/9.34 | | | | (23) e23 = e21
% 58.41/9.34 | | | |
% 58.41/9.34 | | | | REDUCE: (6), (23) imply:
% 58.41/9.34 | | | | (24) $false
% 58.41/9.34 | | | |
% 58.41/9.34 | | | | CLOSE: (24) is inconsistent.
% 58.41/9.34 | | | |
% 58.41/9.34 | | | End of split
% 58.41/9.34 | | |
% 58.41/9.34 | | End of split
% 58.41/9.34 | |
% 58.41/9.34 | End of split
% 58.41/9.34 |
% 58.41/9.34 End of proof
% 58.41/9.34
% 58.41/9.34 Sub-proof #45 shows that the following formulas are inconsistent:
% 58.41/9.34 ----------------------------------------------------------------
% 58.41/9.34 (1) all_26_15 = e21
% 58.41/9.34 (2) all_26_15 = e20
% 58.41/9.34 (3) ~ (e21 = e20)
% 58.41/9.34
% 58.41/9.34 Begin of proof
% 58.41/9.34 |
% 58.41/9.34 | COMBINE_EQS: (1), (2) imply:
% 58.41/9.34 | (4) e21 = e20
% 58.41/9.34 |
% 58.41/9.34 | SIMP: (4) implies:
% 58.41/9.34 | (5) e21 = e20
% 58.41/9.34 |
% 58.41/9.34 | REDUCE: (3), (5) imply:
% 58.41/9.34 | (6) $false
% 58.41/9.34 |
% 58.41/9.34 | CLOSE: (6) is inconsistent.
% 58.41/9.34 |
% 58.41/9.34 End of proof
% 58.41/9.34
% 58.41/9.34 Sub-proof #46 shows that the following formulas are inconsistent:
% 58.41/9.34 ----------------------------------------------------------------
% 58.41/9.34 (1) all_22_1 = e22
% 58.41/9.34 (2) all_22_1 = e20
% 58.41/9.34 (3) ~ (e22 = e20)
% 58.41/9.34
% 58.41/9.34 Begin of proof
% 58.41/9.34 |
% 58.41/9.34 | COMBINE_EQS: (1), (2) imply:
% 58.41/9.34 | (4) e22 = e20
% 58.41/9.34 |
% 58.41/9.34 | SIMP: (4) implies:
% 58.41/9.34 | (5) e22 = e20
% 58.41/9.34 |
% 58.41/9.34 | REDUCE: (3), (5) imply:
% 58.41/9.34 | (6) $false
% 58.41/9.34 |
% 58.41/9.34 | CLOSE: (6) is inconsistent.
% 58.41/9.34 |
% 58.41/9.34 End of proof
% 58.41/9.34
% 58.41/9.34 Sub-proof #47 shows that the following formulas are inconsistent:
% 58.41/9.34 ----------------------------------------------------------------
% 58.41/9.34 (1) all_18_2 = all_14_8
% 58.41/9.34 (2) all_18_2 = e23
% 58.41/9.34 (3) ~ (all_14_8 = e23)
% 58.41/9.34
% 58.41/9.34 Begin of proof
% 58.41/9.34 |
% 58.41/9.34 | COMBINE_EQS: (1), (2) imply:
% 58.41/9.34 | (4) all_14_8 = e23
% 58.41/9.34 |
% 58.41/9.34 | SIMP: (4) implies:
% 58.41/9.34 | (5) all_14_8 = e23
% 58.41/9.34 |
% 58.41/9.34 | REDUCE: (3), (5) imply:
% 58.41/9.34 | (6) $false
% 58.41/9.34 |
% 58.41/9.34 | CLOSE: (6) is inconsistent.
% 58.41/9.34 |
% 58.41/9.34 End of proof
% 58.41/9.34
% 58.41/9.34 Sub-proof #48 shows that the following formulas are inconsistent:
% 58.41/9.34 ----------------------------------------------------------------
% 58.41/9.34 (1) all_20_1 = e10
% 58.41/9.34 (2) all_16_11 = e13 | all_16_11 = e12 | all_16_11 = e11 | all_16_11 = e10
% 58.41/9.34 (3) all_16_5 = all_12_5
% 58.41/9.34 (4) ~ (e13 = e11)
% 58.41/9.34 (5) (all_20_1 = e12 & all_20_9 = e13 & ~ (all_20_3 = e13) & ~ (all_20_11 =
% 58.41/9.34 e12) & ~ (all_20_19 = e11) & ~ (all_20_27 = e10)) | (all_20_1 = e11
% 58.41/9.34 & all_20_17 = e13 & ~ (all_20_5 = e13) & ~ (all_20_13 = e12) & ~
% 58.41/9.34 (all_20_21 = e11) & ~ (all_20_29 = e10)) | (all_20_1 = e10 & all_20_25
% 58.41/9.34 = e13 & ~ (all_20_7 = e13) & ~ (all_20_15 = e12) & ~ (all_20_23 =
% 58.41/9.34 e11) & ~ (all_20_31 = e10)) | (all_20_3 = e12 & all_20_11 = e13 & ~
% 58.41/9.34 (all_20_1 = e13) & ~ (all_20_9 = e12) & ~ (all_20_17 = e11) & ~
% 58.41/9.34 (all_20_25 = e10)) | (all_20_5 = e11 & all_20_21 = e13 & ~ (all_20_1 =
% 58.41/9.34 e13) & ~ (all_20_9 = e12) & ~ (all_20_17 = e11) & ~ (all_20_25 =
% 58.41/9.34 e10)) | (all_20_7 = e10 & all_20_31 = e13 & ~ (all_20_1 = e13) & ~
% 58.41/9.34 (all_20_9 = e12) & ~ (all_20_17 = e11) & ~ (all_20_25 = e10)) |
% 58.41/9.34 (all_20_11 = e11 & all_20_19 = e12 & ~ (all_20_5 = e13) & ~ (all_20_13
% 58.41/9.34 = e12) & ~ (all_20_21 = e11) & ~ (all_20_29 = e10)) | (all_20_11 =
% 58.41/9.34 e10 & all_20_27 = e12 & ~ (all_20_7 = e13) & ~ (all_20_15 = e12) & ~
% 58.41/9.34 (all_20_23 = e11) & ~ (all_20_31 = e10)) | (all_20_13 = e11 &
% 58.41/9.34 all_20_21 = e12 & ~ (all_20_3 = e13) & ~ (all_20_11 = e12) & ~
% 58.41/9.34 (all_20_19 = e11) & ~ (all_20_27 = e10)) | (all_20_15 = e10 &
% 58.41/9.34 all_20_31 = e12 & ~ (all_20_3 = e13) & ~ (all_20_11 = e12) & ~
% 58.41/9.34 (all_20_19 = e11) & ~ (all_20_27 = e10)) | (all_20_21 = e10 &
% 58.41/9.34 all_20_29 = e11 & ~ (all_20_7 = e13) & ~ (all_20_15 = e12) & ~
% 58.41/9.34 (all_20_23 = e11) & ~ (all_20_31 = e10)) | (all_20_23 = e10 &
% 58.41/9.34 all_20_31 = e11 & ~ (all_20_5 = e13) & ~ (all_20_13 = e12) & ~
% 58.41/9.34 (all_20_21 = e11) & ~ (all_20_29 = e10))
% 58.41/9.34 (6) ~ (all_12_7 = e12)
% 58.41/9.34 (7) ~ (all_12_6 = all_12_7)
% 58.41/9.34 (8) all_16_5 = e13 | all_16_5 = e12 | all_16_5 = e11 | all_16_5 = e10
% 58.41/9.34 (9) ~ (all_12_4 = all_12_6)
% 58.41/9.34 (10) ~ (e12 = e11)
% 58.41/9.34 (11) all_16_1 = e13 | all_16_1 = e12 | all_16_1 = e11 | all_16_1 = e10
% 58.41/9.34 (12) all_20_3 = e11
% 58.41/9.34 (13) ~ (all_12_4 = all_12_7)
% 58.41/9.34 (14) ~ (all_12_5 = all_12_7)
% 58.41/9.34 (15) ~ (all_12_14 = e12)
% 58.41/9.34 (16) all_20_7 = e12
% 58.41/9.34 (17) all_16_11 = all_12_14
% 58.41/9.34 (18) all_20_31 = e11
% 58.41/9.34 (19) all_20_29 = all_12_14
% 58.41/9.34 (20) ~ (all_12_5 = e11)
% 58.41/9.34 (21) all_20_27 = e13
% 58.41/9.34 (22) ~ (all_12_4 = all_12_5)
% 58.41/9.34 (23) ~ (all_12_4 = e12)
% 58.41/9.34 (24) all_16_1 = all_12_4
% 58.41/9.34 (25) all_20_25 = e12
% 58.41/9.34 (26) ~ (all_12_4 = e10)
% 58.41/9.34 (27) all_20_13 = all_12_6
% 58.41/9.34 (28) all_16_13 = all_12_7
% 58.41/9.34 (29) all_20_5 = e13
% 58.41/9.34 (30) all_20_11 = all_12_5
% 58.41/9.34 (31) ~ (all_12_14 = e11)
% 58.41/9.34 (32) ~ (all_12_14 = e13)
% 58.41/9.34 (33) all_16_13 = e13 | all_16_13 = e12 | all_16_13 = e11 | all_16_13 = e10
% 58.41/9.34 (34) ~ (all_12_5 = all_12_6)
% 58.41/9.34 (35) ~ (e13 = e12)
% 58.41/9.34
% 58.41/9.34 Begin of proof
% 58.41/9.34 |
% 58.41/9.34 | BETA: splitting (2) gives:
% 58.41/9.34 |
% 58.41/9.34 | Case 1:
% 58.41/9.34 | |
% 58.41/9.34 | | (36) all_16_11 = e13
% 58.41/9.34 | |
% 58.41/9.34 | | COMBINE_EQS: (17), (36) imply:
% 58.41/9.34 | | (37) all_12_14 = e13
% 58.41/9.34 | |
% 58.41/9.34 | | SIMP: (37) implies:
% 58.41/9.34 | | (38) all_12_14 = e13
% 58.41/9.34 | |
% 58.41/9.34 | | REDUCE: (32), (38) imply:
% 58.41/9.34 | | (39) $false
% 58.41/9.34 | |
% 58.41/9.34 | | CLOSE: (39) is inconsistent.
% 58.41/9.34 | |
% 58.41/9.34 | Case 2:
% 58.41/9.34 | |
% 58.41/9.34 | | (40) all_16_11 = e12 | all_16_11 = e11 | all_16_11 = e10
% 58.41/9.34 | |
% 58.41/9.34 | | BETA: splitting (40) gives:
% 58.41/9.34 | |
% 58.41/9.34 | | Case 1:
% 58.41/9.34 | | |
% 58.41/9.34 | | | (41) all_16_11 = e10
% 58.41/9.34 | | |
% 58.41/9.34 | | | COMBINE_EQS: (17), (41) imply:
% 58.41/9.34 | | | (42) all_12_14 = e10
% 58.41/9.34 | | |
% 58.41/9.34 | | | SIMP: (42) implies:
% 58.41/9.34 | | | (43) all_12_14 = e10
% 58.41/9.34 | | |
% 58.41/9.34 | | | COMBINE_EQS: (19), (43) imply:
% 58.41/9.34 | | | (44) all_20_29 = e10
% 58.41/9.34 | | |
% 58.41/9.34 | | | REDUCE: (15), (43) imply:
% 58.41/9.34 | | | (45) ~ (e12 = e10)
% 58.41/9.34 | | |
% 58.41/9.34 | | | SIMP: (45) implies:
% 58.41/9.34 | | | (46) ~ (e12 = e10)
% 58.41/9.34 | | |
% 58.41/9.34 | | | REDUCE: (31), (43) imply:
% 58.41/9.34 | | | (47) ~ (e11 = e10)
% 58.41/9.34 | | |
% 58.41/9.34 | | | SIMP: (47) implies:
% 58.41/9.34 | | | (48) ~ (e11 = e10)
% 58.41/9.34 | | |
% 58.41/9.34 | | | BETA: splitting (5) gives:
% 58.41/9.34 | | |
% 58.41/9.34 | | | Case 1:
% 58.41/9.34 | | | |
% 58.41/9.34 | | | | (49) (all_20_1 = e12 & all_20_9 = e13 & ~ (all_20_3 = e13) & ~
% 58.41/9.34 | | | | (all_20_11 = e12) & ~ (all_20_19 = e11) & ~ (all_20_27 =
% 58.41/9.34 | | | | e10)) | (all_20_1 = e11 & all_20_17 = e13 & ~ (all_20_5 =
% 58.41/9.34 | | | | e13) & ~ (all_20_13 = e12) & ~ (all_20_21 = e11) & ~
% 58.41/9.34 | | | | (all_20_29 = e10)) | (all_20_1 = e10 & all_20_25 = e13 & ~
% 58.41/9.34 | | | | (all_20_7 = e13) & ~ (all_20_15 = e12) & ~ (all_20_23 = e11)
% 58.41/9.34 | | | | & ~ (all_20_31 = e10)) | (all_20_3 = e12 & all_20_11 = e13 &
% 58.41/9.34 | | | | ~ (all_20_1 = e13) & ~ (all_20_9 = e12) & ~ (all_20_17 =
% 58.41/9.34 | | | | e11) & ~ (all_20_25 = e10)) | (all_20_5 = e11 & all_20_21 =
% 58.41/9.34 | | | | e13 & ~ (all_20_1 = e13) & ~ (all_20_9 = e12) & ~
% 58.41/9.34 | | | | (all_20_17 = e11) & ~ (all_20_25 = e10)) | (all_20_7 = e10 &
% 58.41/9.34 | | | | all_20_31 = e13 & ~ (all_20_1 = e13) & ~ (all_20_9 = e12) &
% 58.41/9.34 | | | | ~ (all_20_17 = e11) & ~ (all_20_25 = e10))
% 58.41/9.34 | | | |
% 58.41/9.34 | | | | BETA: splitting (49) gives:
% 58.41/9.34 | | | |
% 58.41/9.34 | | | | Case 1:
% 58.41/9.34 | | | | |
% 58.41/9.34 | | | | | (50) (all_20_1 = e12 & all_20_9 = e13 & ~ (all_20_3 = e13) & ~
% 58.41/9.34 | | | | | (all_20_11 = e12) & ~ (all_20_19 = e11) & ~ (all_20_27 =
% 58.41/9.34 | | | | | e10)) | (all_20_1 = e11 & all_20_17 = e13 & ~ (all_20_5 =
% 58.41/9.34 | | | | | e13) & ~ (all_20_13 = e12) & ~ (all_20_21 = e11) & ~
% 58.41/9.34 | | | | | (all_20_29 = e10)) | (all_20_1 = e10 & all_20_25 = e13 & ~
% 58.41/9.34 | | | | | (all_20_7 = e13) & ~ (all_20_15 = e12) & ~ (all_20_23 =
% 58.41/9.34 | | | | | e11) & ~ (all_20_31 = e10))
% 58.41/9.34 | | | | |
% 58.41/9.34 | | | | | REF_CLOSE: (1), (25), (35), (46), (48), (50) are inconsistent by
% 58.41/9.34 | | | | | sub-proof #53.
% 58.41/9.34 | | | | |
% 58.41/9.34 | | | | Case 2:
% 58.41/9.34 | | | | |
% 58.41/9.34 | | | | | (51) (all_20_3 = e12 & all_20_11 = e13 & ~ (all_20_1 = e13) & ~
% 58.41/9.34 | | | | | (all_20_9 = e12) & ~ (all_20_17 = e11) & ~ (all_20_25 =
% 58.41/9.34 | | | | | e10)) | (all_20_5 = e11 & all_20_21 = e13 & ~ (all_20_1 =
% 58.41/9.34 | | | | | e13) & ~ (all_20_9 = e12) & ~ (all_20_17 = e11) & ~
% 58.41/9.34 | | | | | (all_20_25 = e10)) | (all_20_7 = e10 & all_20_31 = e13 & ~
% 58.41/9.34 | | | | | (all_20_1 = e13) & ~ (all_20_9 = e12) & ~ (all_20_17 =
% 58.41/9.34 | | | | | e11) & ~ (all_20_25 = e10))
% 58.41/9.34 | | | | |
% 58.41/9.34 | | | | | BETA: splitting (51) gives:
% 58.41/9.34 | | | | |
% 58.41/9.34 | | | | | Case 1:
% 58.41/9.34 | | | | | |
% 58.41/9.34 | | | | | | (52) all_20_3 = e12 & all_20_11 = e13 & ~ (all_20_1 = e13) & ~
% 58.41/9.34 | | | | | | (all_20_9 = e12) & ~ (all_20_17 = e11) & ~ (all_20_25 =
% 58.41/9.34 | | | | | | e10)
% 58.41/9.34 | | | | | |
% 58.41/9.34 | | | | | | ALPHA: (52) implies:
% 58.41/9.34 | | | | | | (53) all_20_3 = e12
% 58.41/9.34 | | | | | |
% 58.41/9.34 | | | | | | COMBINE_EQS: (12), (53) imply:
% 58.41/9.34 | | | | | | (54) e12 = e11
% 58.41/9.34 | | | | | |
% 58.41/9.34 | | | | | | REDUCE: (10), (54) imply:
% 58.41/9.34 | | | | | | (55) $false
% 58.41/9.34 | | | | | |
% 58.41/9.34 | | | | | | CLOSE: (55) is inconsistent.
% 58.41/9.34 | | | | | |
% 58.41/9.34 | | | | | Case 2:
% 58.41/9.34 | | | | | |
% 58.41/9.34 | | | | | | (56) (all_20_5 = e11 & all_20_21 = e13 & ~ (all_20_1 = e13) & ~
% 58.41/9.34 | | | | | | (all_20_9 = e12) & ~ (all_20_17 = e11) & ~ (all_20_25 =
% 58.41/9.34 | | | | | | e10)) | (all_20_7 = e10 & all_20_31 = e13 & ~ (all_20_1
% 58.41/9.34 | | | | | | = e13) & ~ (all_20_9 = e12) & ~ (all_20_17 = e11) & ~
% 58.41/9.34 | | | | | | (all_20_25 = e10))
% 58.41/9.34 | | | | | |
% 58.41/9.34 | | | | | | BETA: splitting (56) gives:
% 58.41/9.34 | | | | | |
% 58.41/9.34 | | | | | | Case 1:
% 58.41/9.34 | | | | | | |
% 58.41/9.34 | | | | | | | (57) all_20_5 = e11 & all_20_21 = e13 & ~ (all_20_1 = e13) &
% 58.41/9.34 | | | | | | | ~ (all_20_9 = e12) & ~ (all_20_17 = e11) & ~ (all_20_25
% 58.41/9.34 | | | | | | | = e10)
% 58.41/9.34 | | | | | | |
% 58.41/9.34 | | | | | | | ALPHA: (57) implies:
% 58.41/9.34 | | | | | | | (58) all_20_5 = e11
% 58.41/9.34 | | | | | | |
% 58.41/9.34 | | | | | | | COMBINE_EQS: (29), (58) imply:
% 58.41/9.34 | | | | | | | (59) e13 = e11
% 58.41/9.34 | | | | | | |
% 58.41/9.34 | | | | | | | SIMP: (59) implies:
% 58.41/9.34 | | | | | | | (60) e13 = e11
% 58.41/9.34 | | | | | | |
% 58.41/9.34 | | | | | | | REDUCE: (4), (60) imply:
% 58.41/9.34 | | | | | | | (61) $false
% 58.41/9.34 | | | | | | |
% 58.41/9.34 | | | | | | | CLOSE: (61) is inconsistent.
% 58.41/9.34 | | | | | | |
% 58.41/9.34 | | | | | | Case 2:
% 58.41/9.34 | | | | | | |
% 58.41/9.34 | | | | | | | (62) all_20_7 = e10 & all_20_31 = e13 & ~ (all_20_1 = e13) &
% 58.41/9.34 | | | | | | | ~ (all_20_9 = e12) & ~ (all_20_17 = e11) & ~ (all_20_25
% 58.41/9.34 | | | | | | | = e10)
% 58.41/9.34 | | | | | | |
% 58.41/9.34 | | | | | | | REF_CLOSE: (16), (46), (62) are inconsistent by sub-proof #52.
% 58.41/9.34 | | | | | | |
% 58.41/9.34 | | | | | | End of split
% 58.41/9.34 | | | | | |
% 58.41/9.34 | | | | | End of split
% 58.41/9.34 | | | | |
% 58.41/9.34 | | | | End of split
% 58.41/9.34 | | | |
% 58.41/9.34 | | | Case 2:
% 58.41/9.34 | | | |
% 58.41/9.34 | | | | (63) (all_20_11 = e11 & all_20_19 = e12 & ~ (all_20_5 = e13) & ~
% 58.41/9.34 | | | | (all_20_13 = e12) & ~ (all_20_21 = e11) & ~ (all_20_29 =
% 58.41/9.35 | | | | e10)) | (all_20_11 = e10 & all_20_27 = e12 & ~ (all_20_7 =
% 58.41/9.35 | | | | e13) & ~ (all_20_15 = e12) & ~ (all_20_23 = e11) & ~
% 58.41/9.35 | | | | (all_20_31 = e10)) | (all_20_13 = e11 & all_20_21 = e12 & ~
% 58.41/9.35 | | | | (all_20_3 = e13) & ~ (all_20_11 = e12) & ~ (all_20_19 = e11)
% 58.41/9.35 | | | | & ~ (all_20_27 = e10)) | (all_20_15 = e10 & all_20_31 = e12 &
% 58.41/9.35 | | | | ~ (all_20_3 = e13) & ~ (all_20_11 = e12) & ~ (all_20_19 =
% 58.41/9.35 | | | | e11) & ~ (all_20_27 = e10)) | (all_20_21 = e10 & all_20_29
% 58.41/9.35 | | | | = e11 & ~ (all_20_7 = e13) & ~ (all_20_15 = e12) & ~
% 58.41/9.35 | | | | (all_20_23 = e11) & ~ (all_20_31 = e10)) | (all_20_23 = e10 &
% 58.41/9.35 | | | | all_20_31 = e11 & ~ (all_20_5 = e13) & ~ (all_20_13 = e12) &
% 58.41/9.35 | | | | ~ (all_20_21 = e11) & ~ (all_20_29 = e10))
% 58.41/9.35 | | | |
% 58.41/9.35 | | | | BETA: splitting (63) gives:
% 58.41/9.35 | | | |
% 58.41/9.35 | | | | Case 1:
% 58.41/9.35 | | | | |
% 58.41/9.35 | | | | | (64) (all_20_11 = e11 & all_20_19 = e12 & ~ (all_20_5 = e13) & ~
% 58.41/9.35 | | | | | (all_20_13 = e12) & ~ (all_20_21 = e11) & ~ (all_20_29 =
% 58.41/9.35 | | | | | e10)) | (all_20_11 = e10 & all_20_27 = e12 & ~ (all_20_7
% 58.41/9.35 | | | | | = e13) & ~ (all_20_15 = e12) & ~ (all_20_23 = e11) & ~
% 58.41/9.35 | | | | | (all_20_31 = e10)) | (all_20_13 = e11 & all_20_21 = e12 & ~
% 58.41/9.35 | | | | | (all_20_3 = e13) & ~ (all_20_11 = e12) & ~ (all_20_19 =
% 58.41/9.35 | | | | | e11) & ~ (all_20_27 = e10))
% 58.41/9.35 | | | | |
% 58.41/9.35 | | | | | BETA: splitting (64) gives:
% 58.41/9.35 | | | | |
% 58.41/9.35 | | | | | Case 1:
% 58.41/9.35 | | | | | |
% 58.41/9.35 | | | | | | (65) all_20_11 = e11 & all_20_19 = e12 & ~ (all_20_5 = e13) & ~
% 58.41/9.35 | | | | | | (all_20_13 = e12) & ~ (all_20_21 = e11) & ~ (all_20_29 =
% 58.41/9.35 | | | | | | e10)
% 58.41/9.35 | | | | | |
% 58.41/9.35 | | | | | | ALPHA: (65) implies:
% 58.41/9.35 | | | | | | (66) all_20_11 = e11
% 58.41/9.35 | | | | | |
% 58.41/9.35 | | | | | | COMBINE_EQS: (30), (66) imply:
% 58.41/9.35 | | | | | | (67) all_12_5 = e11
% 58.41/9.35 | | | | | |
% 58.41/9.35 | | | | | | SIMP: (67) implies:
% 58.41/9.35 | | | | | | (68) all_12_5 = e11
% 58.41/9.35 | | | | | |
% 58.41/9.35 | | | | | | REDUCE: (20), (68) imply:
% 58.41/9.35 | | | | | | (69) $false
% 58.41/9.35 | | | | | |
% 58.41/9.35 | | | | | | CLOSE: (69) is inconsistent.
% 58.41/9.35 | | | | | |
% 58.41/9.35 | | | | | Case 2:
% 58.41/9.35 | | | | | |
% 58.41/9.35 | | | | | | (70) (all_20_11 = e10 & all_20_27 = e12 & ~ (all_20_7 = e13) &
% 58.41/9.35 | | | | | | ~ (all_20_15 = e12) & ~ (all_20_23 = e11) & ~ (all_20_31
% 58.41/9.35 | | | | | | = e10)) | (all_20_13 = e11 & all_20_21 = e12 & ~
% 58.41/9.35 | | | | | | (all_20_3 = e13) & ~ (all_20_11 = e12) & ~ (all_20_19 =
% 58.41/9.35 | | | | | | e11) & ~ (all_20_27 = e10))
% 58.41/9.35 | | | | | |
% 58.41/9.35 | | | | | | BETA: splitting (70) gives:
% 58.41/9.35 | | | | | |
% 58.41/9.35 | | | | | | Case 1:
% 58.41/9.35 | | | | | | |
% 58.41/9.35 | | | | | | | (71) all_20_11 = e10 & all_20_27 = e12 & ~ (all_20_7 = e13) &
% 58.41/9.35 | | | | | | | ~ (all_20_15 = e12) & ~ (all_20_23 = e11) & ~ (all_20_31
% 58.41/9.35 | | | | | | | = e10)
% 58.41/9.35 | | | | | | |
% 58.41/9.35 | | | | | | | ALPHA: (71) implies:
% 58.41/9.35 | | | | | | | (72) all_20_27 = e12
% 58.41/9.35 | | | | | | |
% 58.41/9.35 | | | | | | | COMBINE_EQS: (21), (72) imply:
% 58.41/9.35 | | | | | | | (73) e13 = e12
% 58.41/9.35 | | | | | | |
% 58.41/9.35 | | | | | | | REDUCE: (35), (73) imply:
% 58.41/9.35 | | | | | | | (74) $false
% 58.41/9.35 | | | | | | |
% 58.41/9.35 | | | | | | | CLOSE: (74) is inconsistent.
% 58.41/9.35 | | | | | | |
% 58.41/9.35 | | | | | | Case 2:
% 58.41/9.35 | | | | | | |
% 58.41/9.35 | | | | | | | (75) all_20_13 = e11 & all_20_21 = e12 & ~ (all_20_3 = e13) &
% 58.41/9.35 | | | | | | | ~ (all_20_11 = e12) & ~ (all_20_19 = e11) & ~ (all_20_27
% 58.41/9.35 | | | | | | | = e10)
% 58.41/9.35 | | | | | | |
% 58.41/9.35 | | | | | | | ALPHA: (75) implies:
% 58.41/9.35 | | | | | | | (76) all_20_13 = e11
% 58.41/9.35 | | | | | | | (77) ~ (all_20_11 = e12)
% 58.41/9.35 | | | | | | |
% 58.41/9.35 | | | | | | | COMBINE_EQS: (27), (76) imply:
% 58.41/9.35 | | | | | | | (78) all_12_6 = e11
% 58.41/9.35 | | | | | | |
% 58.41/9.35 | | | | | | | SIMP: (78) implies:
% 58.41/9.35 | | | | | | | (79) all_12_6 = e11
% 58.41/9.35 | | | | | | |
% 58.41/9.35 | | | | | | | REDUCE: (30), (77) imply:
% 58.41/9.35 | | | | | | | (80) ~ (all_12_5 = e12)
% 58.41/9.35 | | | | | | |
% 58.41/9.35 | | | | | | | REDUCE: (9), (79) imply:
% 58.41/9.35 | | | | | | | (81) ~ (all_12_4 = e11)
% 58.41/9.35 | | | | | | |
% 58.41/9.35 | | | | | | | REDUCE: (7), (79) imply:
% 58.41/9.35 | | | | | | | (82) ~ (all_12_7 = e11)
% 58.41/9.35 | | | | | | |
% 58.41/9.35 | | | | | | | SIMP: (82) implies:
% 58.41/9.35 | | | | | | | (83) ~ (all_12_7 = e11)
% 58.41/9.35 | | | | | | |
% 58.41/9.35 | | | | | | | BETA: splitting (11) gives:
% 58.41/9.35 | | | | | | |
% 58.41/9.35 | | | | | | | Case 1:
% 58.41/9.35 | | | | | | | |
% 58.41/9.35 | | | | | | | | (84) all_16_1 = e13
% 58.41/9.35 | | | | | | | |
% 58.41/9.35 | | | | | | | | COMBINE_EQS: (24), (84) imply:
% 58.41/9.35 | | | | | | | | (85) all_12_4 = e13
% 58.41/9.35 | | | | | | | |
% 58.41/9.35 | | | | | | | | REDUCE: (22), (85) imply:
% 58.41/9.35 | | | | | | | | (86) ~ (all_12_5 = e13)
% 58.41/9.35 | | | | | | | |
% 58.41/9.35 | | | | | | | | SIMP: (86) implies:
% 58.41/9.35 | | | | | | | | (87) ~ (all_12_5 = e13)
% 58.41/9.35 | | | | | | | |
% 58.41/9.35 | | | | | | | | REDUCE: (13), (85) imply:
% 58.41/9.35 | | | | | | | | (88) ~ (all_12_7 = e13)
% 58.41/9.35 | | | | | | | |
% 58.41/9.35 | | | | | | | | SIMP: (88) implies:
% 58.41/9.35 | | | | | | | | (89) ~ (all_12_7 = e13)
% 58.41/9.35 | | | | | | | |
% 58.41/9.35 | | | | | | | | BETA: splitting (8) gives:
% 58.41/9.35 | | | | | | | |
% 58.41/9.35 | | | | | | | | Case 1:
% 58.41/9.35 | | | | | | | | |
% 58.41/9.35 | | | | | | | | | (90) all_16_5 = e13
% 58.41/9.35 | | | | | | | | |
% 58.41/9.35 | | | | | | | | | REF_CLOSE: (3), (87), (90) are inconsistent by sub-proof #51.
% 58.41/9.35 | | | | | | | | |
% 58.41/9.35 | | | | | | | | Case 2:
% 58.41/9.35 | | | | | | | | |
% 58.41/9.35 | | | | | | | | | (91) all_16_5 = e12 | all_16_5 = e11 | all_16_5 = e10
% 58.41/9.35 | | | | | | | | |
% 58.41/9.35 | | | | | | | | | BETA: splitting (33) gives:
% 58.41/9.35 | | | | | | | | |
% 58.41/9.35 | | | | | | | | | Case 1:
% 58.41/9.35 | | | | | | | | | |
% 58.41/9.35 | | | | | | | | | | (92) all_16_13 = e13
% 58.41/9.35 | | | | | | | | | |
% 58.41/9.35 | | | | | | | | | | REF_CLOSE: (28), (89), (92) are inconsistent by sub-proof
% 58.41/9.35 | | | | | | | | | | #56.
% 58.41/9.35 | | | | | | | | | |
% 58.41/9.35 | | | | | | | | | Case 2:
% 58.41/9.35 | | | | | | | | | |
% 58.41/9.35 | | | | | | | | | | (93) all_16_13 = e12 | all_16_13 = e11 | all_16_13 = e10
% 58.41/9.35 | | | | | | | | | |
% 58.41/9.35 | | | | | | | | | | BETA: splitting (91) gives:
% 58.41/9.35 | | | | | | | | | |
% 58.41/9.35 | | | | | | | | | | Case 1:
% 58.41/9.35 | | | | | | | | | | |
% 58.41/9.35 | | | | | | | | | | | (94) all_16_5 = e10
% 58.41/9.35 | | | | | | | | | | |
% 58.41/9.35 | | | | | | | | | | | COMBINE_EQS: (3), (94) imply:
% 58.41/9.35 | | | | | | | | | | | (95) all_12_5 = e10
% 58.41/9.35 | | | | | | | | | | |
% 58.41/9.35 | | | | | | | | | | | SIMP: (95) implies:
% 58.41/9.35 | | | | | | | | | | | (96) all_12_5 = e10
% 58.41/9.35 | | | | | | | | | | |
% 58.41/9.35 | | | | | | | | | | | REDUCE: (14), (96) imply:
% 58.41/9.35 | | | | | | | | | | | (97) ~ (all_12_7 = e10)
% 58.41/9.35 | | | | | | | | | | |
% 58.41/9.35 | | | | | | | | | | | SIMP: (97) implies:
% 58.41/9.35 | | | | | | | | | | | (98) ~ (all_12_7 = e10)
% 58.41/9.35 | | | | | | | | | | |
% 58.41/9.35 | | | | | | | | | | | REF_CLOSE: (6), (28), (83), (93), (98) are inconsistent by
% 58.41/9.35 | | | | | | | | | | | sub-proof #61.
% 58.41/9.35 | | | | | | | | | | |
% 58.41/9.35 | | | | | | | | | | Case 2:
% 58.41/9.35 | | | | | | | | | | |
% 58.41/9.35 | | | | | | | | | | | (99) all_16_5 = e12 | all_16_5 = e11
% 58.41/9.35 | | | | | | | | | | |
% 58.41/9.35 | | | | | | | | | | | REF_CLOSE: (3), (20), (80), (99) are inconsistent by
% 58.41/9.35 | | | | | | | | | | | sub-proof #50.
% 58.41/9.35 | | | | | | | | | | |
% 58.41/9.35 | | | | | | | | | | End of split
% 58.41/9.35 | | | | | | | | | |
% 58.41/9.35 | | | | | | | | | End of split
% 58.41/9.35 | | | | | | | | |
% 58.41/9.35 | | | | | | | | End of split
% 58.41/9.35 | | | | | | | |
% 58.41/9.35 | | | | | | | Case 2:
% 58.41/9.35 | | | | | | | |
% 58.41/9.35 | | | | | | | | (100) all_16_1 = e12 | all_16_1 = e11 | all_16_1 = e10
% 58.41/9.35 | | | | | | | |
% 58.41/9.35 | | | | | | | | BETA: splitting (100) gives:
% 58.41/9.35 | | | | | | | |
% 58.41/9.35 | | | | | | | | Case 1:
% 58.41/9.35 | | | | | | | | |
% 58.41/9.35 | | | | | | | | | (101) all_16_1 = e10
% 58.41/9.35 | | | | | | | | |
% 58.41/9.35 | | | | | | | | | REF_CLOSE: (24), (26), (101) are inconsistent by sub-proof
% 58.41/9.35 | | | | | | | | | #68.
% 58.41/9.35 | | | | | | | | |
% 58.41/9.35 | | | | | | | | Case 2:
% 58.41/9.35 | | | | | | | | |
% 58.41/9.35 | | | | | | | | | (102) all_16_1 = e12 | all_16_1 = e11
% 58.41/9.35 | | | | | | | | |
% 58.41/9.35 | | | | | | | | | BETA: splitting (102) gives:
% 58.41/9.35 | | | | | | | | |
% 58.41/9.35 | | | | | | | | | Case 1:
% 58.41/9.35 | | | | | | | | | |
% 58.41/9.35 | | | | | | | | | | (103) all_16_1 = e12
% 58.41/9.35 | | | | | | | | | |
% 58.41/9.35 | | | | | | | | | | COMBINE_EQS: (24), (103) imply:
% 58.41/9.35 | | | | | | | | | | (104) all_12_4 = e12
% 58.41/9.35 | | | | | | | | | |
% 58.41/9.35 | | | | | | | | | | REDUCE: (23), (104) imply:
% 58.41/9.35 | | | | | | | | | | (105) $false
% 58.41/9.35 | | | | | | | | | |
% 58.41/9.35 | | | | | | | | | | CLOSE: (105) is inconsistent.
% 58.41/9.35 | | | | | | | | | |
% 58.41/9.35 | | | | | | | | | Case 2:
% 58.41/9.35 | | | | | | | | | |
% 58.41/9.35 | | | | | | | | | | (106) all_16_1 = e11
% 58.41/9.35 | | | | | | | | | |
% 58.41/9.35 | | | | | | | | | | COMBINE_EQS: (24), (106) imply:
% 58.41/9.35 | | | | | | | | | | (107) all_12_4 = e11
% 58.41/9.35 | | | | | | | | | |
% 58.41/9.35 | | | | | | | | | | REDUCE: (81), (107) imply:
% 58.41/9.35 | | | | | | | | | | (108) $false
% 58.41/9.35 | | | | | | | | | |
% 58.41/9.35 | | | | | | | | | | CLOSE: (108) is inconsistent.
% 58.41/9.35 | | | | | | | | | |
% 58.41/9.35 | | | | | | | | | End of split
% 58.41/9.35 | | | | | | | | |
% 58.41/9.35 | | | | | | | | End of split
% 58.41/9.35 | | | | | | | |
% 58.41/9.35 | | | | | | | End of split
% 58.41/9.35 | | | | | | |
% 58.41/9.35 | | | | | | End of split
% 58.41/9.35 | | | | | |
% 58.41/9.35 | | | | | End of split
% 58.41/9.35 | | | | |
% 58.41/9.35 | | | | Case 2:
% 58.41/9.35 | | | | |
% 58.41/9.35 | | | | | (109) (all_20_15 = e10 & all_20_31 = e12 & ~ (all_20_3 = e13) & ~
% 58.41/9.35 | | | | | (all_20_11 = e12) & ~ (all_20_19 = e11) & ~ (all_20_27 =
% 58.41/9.35 | | | | | e10)) | (all_20_21 = e10 & all_20_29 = e11 & ~ (all_20_7
% 58.41/9.35 | | | | | = e13) & ~ (all_20_15 = e12) & ~ (all_20_23 = e11) & ~
% 58.41/9.35 | | | | | (all_20_31 = e10)) | (all_20_23 = e10 & all_20_31 = e11 &
% 58.41/9.35 | | | | | ~ (all_20_5 = e13) & ~ (all_20_13 = e12) & ~ (all_20_21 =
% 58.41/9.35 | | | | | e11) & ~ (all_20_29 = e10))
% 58.41/9.35 | | | | |
% 58.41/9.35 | | | | | BETA: splitting (109) gives:
% 58.41/9.35 | | | | |
% 58.41/9.35 | | | | | Case 1:
% 58.41/9.35 | | | | | |
% 58.41/9.35 | | | | | | (110) all_20_15 = e10 & all_20_31 = e12 & ~ (all_20_3 = e13) &
% 58.41/9.35 | | | | | | ~ (all_20_11 = e12) & ~ (all_20_19 = e11) & ~ (all_20_27
% 58.41/9.35 | | | | | | = e10)
% 58.41/9.35 | | | | | |
% 58.41/9.35 | | | | | | REF_CLOSE: (10), (18), (110) are inconsistent by sub-proof #49.
% 58.41/9.35 | | | | | |
% 58.41/9.35 | | | | | Case 2:
% 58.41/9.35 | | | | | |
% 58.76/9.35 | | | | | | (111) (all_20_21 = e10 & all_20_29 = e11 & ~ (all_20_7 = e13) &
% 58.76/9.35 | | | | | | ~ (all_20_15 = e12) & ~ (all_20_23 = e11) & ~
% 58.76/9.35 | | | | | | (all_20_31 = e10)) | (all_20_23 = e10 & all_20_31 = e11 &
% 58.76/9.35 | | | | | | ~ (all_20_5 = e13) & ~ (all_20_13 = e12) & ~
% 58.76/9.35 | | | | | | (all_20_21 = e11) & ~ (all_20_29 = e10))
% 58.76/9.35 | | | | | |
% 58.76/9.35 | | | | | | BETA: splitting (111) gives:
% 58.76/9.35 | | | | | |
% 58.76/9.35 | | | | | | Case 1:
% 58.76/9.35 | | | | | | |
% 58.76/9.35 | | | | | | | (112) all_20_21 = e10 & all_20_29 = e11 & ~ (all_20_7 = e13) &
% 58.76/9.35 | | | | | | | ~ (all_20_15 = e12) & ~ (all_20_23 = e11) & ~
% 58.76/9.35 | | | | | | | (all_20_31 = e10)
% 58.76/9.35 | | | | | | |
% 58.76/9.35 | | | | | | | ALPHA: (112) implies:
% 58.76/9.35 | | | | | | | (113) all_20_29 = e11
% 58.76/9.35 | | | | | | |
% 58.76/9.35 | | | | | | | COMBINE_EQS: (44), (113) imply:
% 58.76/9.35 | | | | | | | (114) e11 = e10
% 58.76/9.35 | | | | | | |
% 58.76/9.35 | | | | | | | SIMP: (114) implies:
% 58.76/9.35 | | | | | | | (115) e11 = e10
% 58.76/9.35 | | | | | | |
% 58.76/9.35 | | | | | | | REDUCE: (48), (115) imply:
% 58.76/9.35 | | | | | | | (116) $false
% 58.76/9.35 | | | | | | |
% 58.76/9.35 | | | | | | | CLOSE: (116) is inconsistent.
% 58.76/9.35 | | | | | | |
% 58.76/9.35 | | | | | | Case 2:
% 58.76/9.35 | | | | | | |
% 58.76/9.35 | | | | | | | (117) all_20_23 = e10 & all_20_31 = e11 & ~ (all_20_5 = e13) &
% 58.76/9.35 | | | | | | | ~ (all_20_13 = e12) & ~ (all_20_21 = e11) & ~
% 58.76/9.35 | | | | | | | (all_20_29 = e10)
% 58.76/9.35 | | | | | | |
% 58.76/9.35 | | | | | | | ALPHA: (117) implies:
% 58.76/9.35 | | | | | | | (118) ~ (all_20_29 = e10)
% 58.76/9.35 | | | | | | |
% 58.76/9.35 | | | | | | | REDUCE: (44), (118) imply:
% 58.76/9.35 | | | | | | | (119) $false
% 58.76/9.35 | | | | | | |
% 58.76/9.35 | | | | | | | CLOSE: (119) is inconsistent.
% 58.76/9.35 | | | | | | |
% 58.76/9.35 | | | | | | End of split
% 58.76/9.35 | | | | | |
% 58.76/9.35 | | | | | End of split
% 58.76/9.35 | | | | |
% 58.76/9.35 | | | | End of split
% 58.76/9.35 | | | |
% 58.76/9.35 | | | End of split
% 58.76/9.35 | | |
% 58.76/9.35 | | Case 2:
% 58.76/9.35 | | |
% 58.76/9.35 | | | (120) all_16_11 = e12 | all_16_11 = e11
% 58.76/9.35 | | |
% 58.76/9.35 | | | REF_CLOSE: (15), (17), (31), (120) are inconsistent by sub-proof #60.
% 58.76/9.35 | | |
% 58.76/9.35 | | End of split
% 58.76/9.35 | |
% 58.76/9.35 | End of split
% 58.76/9.35 |
% 58.76/9.35 End of proof
% 58.76/9.35
% 58.76/9.35 Sub-proof #49 shows that the following formulas are inconsistent:
% 58.76/9.35 ----------------------------------------------------------------
% 58.76/9.35 (1) all_20_15 = e10 & all_20_31 = e12 & ~ (all_20_3 = e13) & ~ (all_20_11 =
% 58.76/9.35 e12) & ~ (all_20_19 = e11) & ~ (all_20_27 = e10)
% 58.76/9.35 (2) all_20_31 = e11
% 58.76/9.35 (3) ~ (e12 = e11)
% 58.76/9.35
% 58.76/9.35 Begin of proof
% 58.76/9.35 |
% 58.76/9.35 | ALPHA: (1) implies:
% 58.76/9.35 | (4) all_20_31 = e12
% 58.76/9.35 |
% 58.76/9.35 | COMBINE_EQS: (2), (4) imply:
% 58.76/9.35 | (5) e12 = e11
% 58.76/9.35 |
% 58.76/9.35 | SIMP: (5) implies:
% 58.76/9.35 | (6) e12 = e11
% 58.76/9.35 |
% 58.76/9.35 | REDUCE: (3), (6) imply:
% 58.76/9.35 | (7) $false
% 58.76/9.35 |
% 58.76/9.35 | CLOSE: (7) is inconsistent.
% 58.76/9.35 |
% 58.76/9.35 End of proof
% 58.76/9.35
% 58.76/9.35 Sub-proof #50 shows that the following formulas are inconsistent:
% 58.76/9.35 ----------------------------------------------------------------
% 58.76/9.35 (1) all_16_5 = e12 | all_16_5 = e11
% 58.76/9.35 (2) all_16_5 = all_12_5
% 58.76/9.35 (3) ~ (all_12_5 = e12)
% 58.76/9.35 (4) ~ (all_12_5 = e11)
% 58.76/9.35
% 58.76/9.35 Begin of proof
% 58.76/9.35 |
% 58.76/9.35 | BETA: splitting (1) gives:
% 58.76/9.35 |
% 58.76/9.35 | Case 1:
% 58.76/9.35 | |
% 58.76/9.35 | | (5) all_16_5 = e12
% 58.76/9.35 | |
% 58.76/9.35 | | COMBINE_EQS: (2), (5) imply:
% 58.76/9.35 | | (6) all_12_5 = e12
% 58.76/9.35 | |
% 58.76/9.35 | | SIMP: (6) implies:
% 58.76/9.35 | | (7) all_12_5 = e12
% 58.76/9.35 | |
% 58.76/9.35 | | REDUCE: (3), (7) imply:
% 58.76/9.35 | | (8) $false
% 58.76/9.35 | |
% 58.76/9.35 | | CLOSE: (8) is inconsistent.
% 58.76/9.35 | |
% 58.76/9.35 | Case 2:
% 58.76/9.35 | |
% 58.76/9.35 | | (9) all_16_5 = e11
% 58.76/9.35 | |
% 58.76/9.35 | | COMBINE_EQS: (2), (9) imply:
% 58.76/9.35 | | (10) all_12_5 = e11
% 58.76/9.35 | |
% 58.76/9.35 | | SIMP: (10) implies:
% 58.76/9.35 | | (11) all_12_5 = e11
% 58.76/9.35 | |
% 58.76/9.35 | | REDUCE: (4), (11) imply:
% 58.76/9.35 | | (12) $false
% 58.76/9.35 | |
% 58.76/9.35 | | CLOSE: (12) is inconsistent.
% 58.76/9.35 | |
% 58.76/9.35 | End of split
% 58.76/9.35 |
% 58.76/9.35 End of proof
% 58.76/9.35
% 58.76/9.35 Sub-proof #51 shows that the following formulas are inconsistent:
% 58.76/9.35 ----------------------------------------------------------------
% 58.76/9.35 (1) all_16_5 = all_12_5
% 58.76/9.35 (2) all_16_5 = e13
% 58.76/9.35 (3) ~ (all_12_5 = e13)
% 58.76/9.35
% 58.76/9.35 Begin of proof
% 58.76/9.35 |
% 58.76/9.35 | COMBINE_EQS: (1), (2) imply:
% 58.76/9.35 | (4) all_12_5 = e13
% 58.76/9.35 |
% 58.76/9.35 | SIMP: (4) implies:
% 58.76/9.35 | (5) all_12_5 = e13
% 58.76/9.35 |
% 58.76/9.35 | REDUCE: (3), (5) imply:
% 58.76/9.35 | (6) $false
% 58.76/9.35 |
% 58.76/9.35 | CLOSE: (6) is inconsistent.
% 58.76/9.35 |
% 58.76/9.35 End of proof
% 58.76/9.35
% 58.76/9.35 Sub-proof #52 shows that the following formulas are inconsistent:
% 58.76/9.35 ----------------------------------------------------------------
% 58.76/9.35 (1) all_20_7 = e10 & all_20_31 = e13 & ~ (all_20_1 = e13) & ~ (all_20_9 =
% 58.76/9.35 e12) & ~ (all_20_17 = e11) & ~ (all_20_25 = e10)
% 58.76/9.35 (2) all_20_7 = e12
% 58.76/9.35 (3) ~ (e12 = e10)
% 58.76/9.35
% 58.76/9.35 Begin of proof
% 58.76/9.35 |
% 58.76/9.35 | ALPHA: (1) implies:
% 58.76/9.35 | (4) all_20_7 = e10
% 58.76/9.35 |
% 58.76/9.35 | COMBINE_EQS: (2), (4) imply:
% 58.76/9.35 | (5) e12 = e10
% 58.76/9.35 |
% 58.76/9.35 | REDUCE: (3), (5) imply:
% 58.76/9.35 | (6) $false
% 58.76/9.35 |
% 58.76/9.35 | CLOSE: (6) is inconsistent.
% 58.76/9.35 |
% 58.76/9.35 End of proof
% 58.76/9.35
% 58.76/9.35 Sub-proof #53 shows that the following formulas are inconsistent:
% 58.76/9.35 ----------------------------------------------------------------
% 58.76/9.35 (1) all_20_1 = e10
% 58.76/9.35 (2) ~ (e11 = e10)
% 58.76/9.36 (3) (all_20_1 = e12 & all_20_9 = e13 & ~ (all_20_3 = e13) & ~ (all_20_11 =
% 58.76/9.36 e12) & ~ (all_20_19 = e11) & ~ (all_20_27 = e10)) | (all_20_1 = e11
% 58.76/9.36 & all_20_17 = e13 & ~ (all_20_5 = e13) & ~ (all_20_13 = e12) & ~
% 58.76/9.36 (all_20_21 = e11) & ~ (all_20_29 = e10)) | (all_20_1 = e10 & all_20_25
% 58.76/9.36 = e13 & ~ (all_20_7 = e13) & ~ (all_20_15 = e12) & ~ (all_20_23 =
% 58.76/9.36 e11) & ~ (all_20_31 = e10))
% 58.76/9.36 (4) ~ (e12 = e10)
% 58.76/9.36 (5) all_20_25 = e12
% 58.76/9.36 (6) ~ (e13 = e12)
% 58.76/9.36
% 58.76/9.36 Begin of proof
% 58.76/9.36 |
% 58.76/9.36 | BETA: splitting (3) gives:
% 58.76/9.36 |
% 58.76/9.36 | Case 1:
% 58.76/9.36 | |
% 58.76/9.36 | | (7) all_20_1 = e12 & all_20_9 = e13 & ~ (all_20_3 = e13) & ~ (all_20_11
% 58.76/9.36 | | = e12) & ~ (all_20_19 = e11) & ~ (all_20_27 = e10)
% 58.76/9.36 | |
% 58.76/9.36 | | ALPHA: (7) implies:
% 58.76/9.36 | | (8) all_20_1 = e12
% 58.76/9.36 | |
% 58.76/9.36 | | COMBINE_EQS: (1), (8) imply:
% 58.76/9.36 | | (9) e12 = e10
% 58.76/9.36 | |
% 58.76/9.36 | | REDUCE: (4), (9) imply:
% 58.76/9.36 | | (10) $false
% 58.76/9.36 | |
% 58.76/9.36 | | CLOSE: (10) is inconsistent.
% 58.76/9.36 | |
% 58.76/9.36 | Case 2:
% 58.76/9.36 | |
% 58.76/9.36 | | (11) (all_20_1 = e11 & all_20_17 = e13 & ~ (all_20_5 = e13) & ~
% 58.76/9.36 | | (all_20_13 = e12) & ~ (all_20_21 = e11) & ~ (all_20_29 = e10)) |
% 58.76/9.36 | | (all_20_1 = e10 & all_20_25 = e13 & ~ (all_20_7 = e13) & ~
% 58.76/9.36 | | (all_20_15 = e12) & ~ (all_20_23 = e11) & ~ (all_20_31 = e10))
% 58.76/9.36 | |
% 58.76/9.36 | | BETA: splitting (11) gives:
% 58.76/9.36 | |
% 58.76/9.36 | | Case 1:
% 58.76/9.36 | | |
% 58.76/9.36 | | | (12) all_20_1 = e11 & all_20_17 = e13 & ~ (all_20_5 = e13) & ~
% 58.76/9.36 | | | (all_20_13 = e12) & ~ (all_20_21 = e11) & ~ (all_20_29 = e10)
% 58.76/9.36 | | |
% 58.76/9.36 | | | ALPHA: (12) implies:
% 58.76/9.36 | | | (13) all_20_1 = e11
% 58.76/9.36 | | |
% 58.76/9.36 | | | COMBINE_EQS: (1), (13) imply:
% 58.76/9.36 | | | (14) e11 = e10
% 58.76/9.36 | | |
% 58.76/9.36 | | | REDUCE: (2), (14) imply:
% 58.76/9.36 | | | (15) $false
% 58.76/9.36 | | |
% 58.76/9.36 | | | CLOSE: (15) is inconsistent.
% 58.76/9.36 | | |
% 58.76/9.36 | | Case 2:
% 58.76/9.36 | | |
% 58.76/9.36 | | | (16) all_20_1 = e10 & all_20_25 = e13 & ~ (all_20_7 = e13) & ~
% 58.76/9.36 | | | (all_20_15 = e12) & ~ (all_20_23 = e11) & ~ (all_20_31 = e10)
% 58.76/9.36 | | |
% 58.76/9.36 | | | ALPHA: (16) implies:
% 58.76/9.36 | | | (17) all_20_25 = e13
% 58.76/9.36 | | |
% 58.76/9.36 | | | COMBINE_EQS: (5), (17) imply:
% 58.76/9.36 | | | (18) e13 = e12
% 58.76/9.36 | | |
% 58.76/9.36 | | | SIMP: (18) implies:
% 58.76/9.36 | | | (19) e13 = e12
% 58.76/9.36 | | |
% 58.76/9.36 | | | REDUCE: (6), (19) imply:
% 58.76/9.36 | | | (20) $false
% 58.76/9.36 | | |
% 58.76/9.36 | | | CLOSE: (20) is inconsistent.
% 58.76/9.36 | | |
% 58.76/9.36 | | End of split
% 58.76/9.36 | |
% 58.76/9.36 | End of split
% 58.76/9.36 |
% 58.76/9.36 End of proof
% 58.76/9.36
% 58.76/9.36 Sub-proof #54 shows that the following formulas are inconsistent:
% 58.76/9.36 ----------------------------------------------------------------
% 58.76/9.36 (1) all_20_2 = all_12_6
% 58.76/9.36 (2) all_20_2 = all_20_3
% 58.76/9.36 (3) all_20_3 = e11
% 58.76/9.36 (4) ~ (all_12_6 = e11)
% 58.76/9.36
% 58.76/9.36 Begin of proof
% 58.76/9.36 |
% 58.76/9.36 | COMBINE_EQS: (1), (2) imply:
% 58.76/9.36 | (5) all_20_3 = all_12_6
% 58.76/9.36 |
% 58.76/9.36 | COMBINE_EQS: (3), (5) imply:
% 58.76/9.36 | (6) all_12_6 = e11
% 58.76/9.36 |
% 58.76/9.36 | SIMP: (6) implies:
% 58.76/9.36 | (7) all_12_6 = e11
% 58.76/9.36 |
% 58.76/9.36 | REDUCE: (4), (7) imply:
% 58.76/9.36 | (8) $false
% 58.76/9.36 |
% 58.76/9.36 | CLOSE: (8) is inconsistent.
% 58.76/9.36 |
% 58.76/9.36 End of proof
% 58.76/9.36
% 58.76/9.36 Sub-proof #55 shows that the following formulas are inconsistent:
% 58.76/9.36 ----------------------------------------------------------------
% 58.76/9.36 (1) all_16_9 = all_12_6
% 58.76/9.36 (2) ~ (all_12_6 = e12)
% 58.76/9.36 (3) all_16_9 = e12 | all_16_9 = e11 | all_16_9 = e10
% 58.76/9.36 (4) ~ (all_12_6 = e10)
% 58.76/9.36 (5) ~ (all_12_6 = e11)
% 58.76/9.36
% 58.76/9.36 Begin of proof
% 58.76/9.36 |
% 58.76/9.36 | BETA: splitting (3) gives:
% 58.76/9.36 |
% 58.76/9.36 | Case 1:
% 58.76/9.36 | |
% 58.76/9.36 | | (6) all_16_9 = e10
% 58.76/9.36 | |
% 58.76/9.36 | | REF_CLOSE: (1), (4), (6) are inconsistent by sub-proof #69.
% 58.76/9.36 | |
% 58.76/9.36 | Case 2:
% 58.76/9.36 | |
% 58.76/9.36 | | (7) all_16_9 = e12 | all_16_9 = e11
% 58.76/9.36 | |
% 58.76/9.36 | | BETA: splitting (7) gives:
% 58.76/9.36 | |
% 58.76/9.36 | | Case 1:
% 58.76/9.36 | | |
% 58.76/9.36 | | | (8) all_16_9 = e12
% 58.76/9.36 | | |
% 58.76/9.36 | | | COMBINE_EQS: (1), (8) imply:
% 58.76/9.36 | | | (9) all_12_6 = e12
% 58.76/9.36 | | |
% 58.76/9.36 | | | SIMP: (9) implies:
% 58.76/9.36 | | | (10) all_12_6 = e12
% 58.76/9.36 | | |
% 58.76/9.36 | | | REDUCE: (2), (10) imply:
% 58.76/9.36 | | | (11) $false
% 58.76/9.36 | | |
% 58.76/9.36 | | | CLOSE: (11) is inconsistent.
% 58.76/9.36 | | |
% 58.76/9.36 | | Case 2:
% 58.76/9.36 | | |
% 58.76/9.36 | | | (12) all_16_9 = e11
% 58.76/9.36 | | |
% 58.76/9.36 | | | REF_CLOSE: (1), (5), (12) are inconsistent by sub-proof #63.
% 58.76/9.36 | | |
% 58.76/9.36 | | End of split
% 58.76/9.36 | |
% 58.76/9.36 | End of split
% 58.76/9.36 |
% 58.76/9.36 End of proof
% 58.76/9.36
% 58.76/9.36 Sub-proof #56 shows that the following formulas are inconsistent:
% 58.76/9.36 ----------------------------------------------------------------
% 58.76/9.36 (1) all_16_13 = all_12_7
% 58.76/9.36 (2) all_16_13 = e13
% 58.76/9.36 (3) ~ (all_12_7 = e13)
% 58.76/9.36
% 58.76/9.36 Begin of proof
% 58.76/9.36 |
% 58.76/9.36 | COMBINE_EQS: (1), (2) imply:
% 58.76/9.36 | (4) all_12_7 = e13
% 58.76/9.36 |
% 58.76/9.36 | SIMP: (4) implies:
% 58.76/9.36 | (5) all_12_7 = e13
% 58.76/9.36 |
% 58.76/9.36 | REDUCE: (3), (5) imply:
% 58.76/9.36 | (6) $false
% 58.76/9.36 |
% 58.76/9.36 | CLOSE: (6) is inconsistent.
% 58.76/9.36 |
% 58.76/9.36 End of proof
% 58.76/9.36
% 58.76/9.36 Sub-proof #57 shows that the following formulas are inconsistent:
% 58.76/9.36 ----------------------------------------------------------------
% 58.76/9.36 (1) all_16_4 = all_12_1
% 58.76/9.36 (2) all_16_4 = e12
% 58.76/9.36 (3) ~ (all_12_1 = e12)
% 58.76/9.36
% 58.76/9.36 Begin of proof
% 58.76/9.36 |
% 58.76/9.36 | COMBINE_EQS: (1), (2) imply:
% 58.76/9.36 | (4) all_12_1 = e12
% 58.76/9.36 |
% 58.76/9.36 | SIMP: (4) implies:
% 58.76/9.36 | (5) all_12_1 = e12
% 58.76/9.36 |
% 58.76/9.36 | REDUCE: (3), (5) imply:
% 58.76/9.36 | (6) $false
% 58.76/9.36 |
% 58.76/9.36 | CLOSE: (6) is inconsistent.
% 58.76/9.36 |
% 58.76/9.36 End of proof
% 58.76/9.36
% 58.76/9.36 Sub-proof #58 shows that the following formulas are inconsistent:
% 58.76/9.36 ----------------------------------------------------------------
% 58.76/9.36 (1) all_16_4 = all_12_1
% 58.76/9.36 (2) all_16_4 = e10
% 58.76/9.36 (3) ~ (all_12_1 = e10)
% 58.76/9.36
% 58.76/9.36 Begin of proof
% 58.76/9.36 |
% 58.76/9.36 | COMBINE_EQS: (1), (2) imply:
% 58.76/9.36 | (4) all_12_1 = e10
% 58.76/9.36 |
% 58.76/9.36 | SIMP: (4) implies:
% 58.76/9.36 | (5) all_12_1 = e10
% 58.76/9.36 |
% 58.76/9.36 | REDUCE: (3), (5) imply:
% 58.76/9.36 | (6) $false
% 58.76/9.36 |
% 58.76/9.36 | CLOSE: (6) is inconsistent.
% 58.76/9.36 |
% 58.76/9.36 End of proof
% 58.76/9.36
% 58.76/9.36 Sub-proof #59 shows that the following formulas are inconsistent:
% 58.76/9.36 ----------------------------------------------------------------
% 58.76/9.36 (1) all_24_12 = e12
% 58.76/9.36 (2) all_24_12 = e11
% 58.76/9.36 (3) ~ (e12 = e11)
% 58.76/9.36
% 58.76/9.36 Begin of proof
% 58.76/9.36 |
% 58.76/9.36 | COMBINE_EQS: (1), (2) imply:
% 58.76/9.36 | (4) e12 = e11
% 58.76/9.36 |
% 58.76/9.36 | SIMP: (4) implies:
% 58.76/9.36 | (5) e12 = e11
% 58.76/9.36 |
% 58.76/9.36 | REDUCE: (3), (5) imply:
% 58.76/9.36 | (6) $false
% 58.76/9.36 |
% 58.76/9.36 | CLOSE: (6) is inconsistent.
% 58.76/9.36 |
% 58.76/9.36 End of proof
% 58.76/9.36
% 58.76/9.36 Sub-proof #60 shows that the following formulas are inconsistent:
% 58.76/9.36 ----------------------------------------------------------------
% 58.76/9.36 (1) all_16_11 = e12 | all_16_11 = e11
% 58.76/9.36 (2) all_16_11 = all_12_14
% 58.76/9.36 (3) ~ (all_12_14 = e12)
% 58.76/9.36 (4) ~ (all_12_14 = e11)
% 58.76/9.36
% 58.76/9.36 Begin of proof
% 58.76/9.36 |
% 58.76/9.36 | BETA: splitting (1) gives:
% 58.76/9.36 |
% 58.76/9.36 | Case 1:
% 58.76/9.36 | |
% 58.76/9.36 | | (5) all_16_11 = e12
% 58.76/9.36 | |
% 58.76/9.36 | | COMBINE_EQS: (2), (5) imply:
% 58.76/9.36 | | (6) all_12_14 = e12
% 58.76/9.36 | |
% 58.76/9.36 | | SIMP: (6) implies:
% 58.76/9.36 | | (7) all_12_14 = e12
% 58.76/9.36 | |
% 58.76/9.36 | | REDUCE: (3), (7) imply:
% 58.76/9.36 | | (8) $false
% 58.76/9.36 | |
% 58.76/9.36 | | CLOSE: (8) is inconsistent.
% 58.76/9.36 | |
% 58.76/9.36 | Case 2:
% 58.76/9.36 | |
% 58.76/9.36 | | (9) all_16_11 = e11
% 58.76/9.36 | |
% 58.76/9.36 | | COMBINE_EQS: (2), (9) imply:
% 58.76/9.36 | | (10) all_12_14 = e11
% 58.76/9.36 | |
% 58.76/9.36 | | SIMP: (10) implies:
% 58.76/9.36 | | (11) all_12_14 = e11
% 58.76/9.36 | |
% 58.76/9.36 | | REDUCE: (4), (11) imply:
% 58.76/9.36 | | (12) $false
% 58.76/9.36 | |
% 58.76/9.36 | | CLOSE: (12) is inconsistent.
% 58.76/9.36 | |
% 58.76/9.36 | End of split
% 58.76/9.36 |
% 58.76/9.36 End of proof
% 58.76/9.36
% 58.76/9.36 Sub-proof #61 shows that the following formulas are inconsistent:
% 58.76/9.36 ----------------------------------------------------------------
% 58.76/9.36 (1) ~ (all_12_7 = e11)
% 58.76/9.36 (2) ~ (all_12_7 = e12)
% 58.76/9.36 (3) ~ (all_12_7 = e10)
% 58.76/9.36 (4) all_16_13 = all_12_7
% 58.76/9.36 (5) all_16_13 = e12 | all_16_13 = e11 | all_16_13 = e10
% 58.76/9.36
% 58.76/9.36 Begin of proof
% 58.76/9.36 |
% 58.76/9.36 | BETA: splitting (5) gives:
% 58.76/9.36 |
% 58.76/9.36 | Case 1:
% 58.76/9.36 | |
% 58.76/9.36 | | (6) all_16_13 = e10
% 58.76/9.36 | |
% 58.76/9.36 | | COMBINE_EQS: (4), (6) imply:
% 58.76/9.36 | | (7) all_12_7 = e10
% 58.76/9.36 | |
% 58.76/9.36 | | REDUCE: (3), (7) imply:
% 58.76/9.36 | | (8) $false
% 58.76/9.36 | |
% 58.76/9.36 | | CLOSE: (8) is inconsistent.
% 58.76/9.36 | |
% 58.76/9.36 | Case 2:
% 58.76/9.36 | |
% 58.76/9.36 | | (9) all_16_13 = e12 | all_16_13 = e11
% 58.76/9.36 | |
% 58.76/9.36 | | REF_CLOSE: (1), (2), (4), (9) are inconsistent by sub-proof #62.
% 58.76/9.36 | |
% 58.76/9.36 | End of split
% 58.76/9.36 |
% 58.76/9.36 End of proof
% 58.76/9.36
% 58.76/9.36 Sub-proof #62 shows that the following formulas are inconsistent:
% 58.76/9.36 ----------------------------------------------------------------
% 58.76/9.36 (1) all_16_13 = e12 | all_16_13 = e11
% 58.76/9.36 (2) all_16_13 = all_12_7
% 58.76/9.36 (3) ~ (all_12_7 = e12)
% 58.76/9.36 (4) ~ (all_12_7 = e11)
% 58.76/9.36
% 58.76/9.36 Begin of proof
% 58.76/9.36 |
% 58.76/9.36 | BETA: splitting (1) gives:
% 58.76/9.36 |
% 58.76/9.36 | Case 1:
% 58.76/9.36 | |
% 58.76/9.36 | | (5) all_16_13 = e12
% 58.76/9.36 | |
% 58.76/9.36 | | COMBINE_EQS: (2), (5) imply:
% 58.76/9.36 | | (6) all_12_7 = e12
% 58.76/9.36 | |
% 58.76/9.36 | | REDUCE: (3), (6) imply:
% 58.76/9.36 | | (7) $false
% 58.76/9.36 | |
% 58.76/9.36 | | CLOSE: (7) is inconsistent.
% 58.76/9.36 | |
% 58.76/9.36 | Case 2:
% 58.76/9.36 | |
% 58.76/9.36 | | (8) all_16_13 = e11
% 58.76/9.36 | |
% 58.76/9.36 | | COMBINE_EQS: (2), (8) imply:
% 58.76/9.36 | | (9) all_12_7 = e11
% 58.76/9.36 | |
% 58.76/9.36 | | REDUCE: (4), (9) imply:
% 58.76/9.36 | | (10) $false
% 58.76/9.36 | |
% 58.76/9.36 | | CLOSE: (10) is inconsistent.
% 58.76/9.36 | |
% 58.76/9.36 | End of split
% 58.76/9.36 |
% 58.76/9.36 End of proof
% 58.76/9.36
% 58.76/9.36 Sub-proof #63 shows that the following formulas are inconsistent:
% 58.76/9.36 ----------------------------------------------------------------
% 58.76/9.36 (1) all_16_9 = all_12_6
% 58.76/9.36 (2) all_16_9 = e11
% 58.76/9.36 (3) ~ (all_12_6 = e11)
% 58.76/9.36
% 58.76/9.36 Begin of proof
% 58.76/9.36 |
% 58.76/9.36 | COMBINE_EQS: (1), (2) imply:
% 58.76/9.36 | (4) all_12_6 = e11
% 58.76/9.36 |
% 58.76/9.36 | SIMP: (4) implies:
% 58.76/9.36 | (5) all_12_6 = e11
% 58.76/9.36 |
% 58.76/9.36 | REDUCE: (3), (5) imply:
% 58.76/9.36 | (6) $false
% 58.76/9.36 |
% 58.76/9.36 | CLOSE: (6) is inconsistent.
% 58.76/9.36 |
% 58.76/9.36 End of proof
% 58.76/9.36
% 58.76/9.36 Sub-proof #64 shows that the following formulas are inconsistent:
% 58.76/9.36 ----------------------------------------------------------------
% 58.76/9.36 (1) all_20_5 = e11
% 58.76/9.36 (2) ~ (all_12_10 = e11)
% 58.76/9.36 (3) all_20_7 = e12
% 58.76/9.36 (4) all_20_6 = e10
% 58.76/9.36 (5) all_20_4 = all_20_5 | all_20_6 = all_20_7
% 58.76/9.36 (6) ~ (e12 = e10)
% 58.76/9.36 (7) all_20_4 = all_12_10
% 58.76/9.36
% 58.76/9.36 Begin of proof
% 58.76/9.36 |
% 58.76/9.36 | BETA: splitting (5) gives:
% 58.76/9.36 |
% 58.76/9.36 | Case 1:
% 58.76/9.36 | |
% 58.76/9.36 | | (8) all_20_4 = all_20_5
% 58.76/9.36 | |
% 58.76/9.36 | | COMBINE_EQS: (7), (8) imply:
% 58.76/9.36 | | (9) all_20_5 = all_12_10
% 58.76/9.36 | |
% 58.76/9.36 | | SIMP: (9) implies:
% 58.76/9.36 | | (10) all_20_5 = all_12_10
% 58.76/9.36 | |
% 58.76/9.36 | | REF_CLOSE: (1), (2), (10) are inconsistent by sub-proof #72.
% 58.76/9.36 | |
% 58.76/9.36 | Case 2:
% 58.76/9.36 | |
% 58.76/9.36 | | (11) all_20_6 = all_20_7
% 58.76/9.36 | |
% 58.76/9.36 | | COMBINE_EQS: (4), (11) imply:
% 58.76/9.36 | | (12) all_20_7 = e10
% 58.76/9.36 | |
% 58.76/9.36 | | SIMP: (12) implies:
% 58.76/9.36 | | (13) all_20_7 = e10
% 58.76/9.36 | |
% 58.76/9.36 | | COMBINE_EQS: (3), (13) imply:
% 58.76/9.36 | | (14) e12 = e10
% 58.76/9.36 | |
% 58.76/9.36 | | REDUCE: (6), (14) imply:
% 58.76/9.36 | | (15) $false
% 58.76/9.36 | |
% 58.76/9.36 | | CLOSE: (15) is inconsistent.
% 58.76/9.36 | |
% 58.76/9.36 | End of split
% 58.76/9.36 |
% 58.76/9.36 End of proof
% 58.76/9.36
% 58.76/9.36 Sub-proof #65 shows that the following formulas are inconsistent:
% 58.76/9.36 ----------------------------------------------------------------
% 58.76/9.36 (1) ~ (e11 = e10)
% 58.76/9.36 (2) all_20_22 = e11
% 58.76/9.36 (3) all_20_23 = e10
% 58.76/9.36 (4) all_20_20 = e12
% 58.76/9.36 (5) all_20_21 = e13
% 58.76/9.36 (6) all_20_20 = all_20_21 | all_20_22 = all_20_23
% 58.76/9.36 (7) ~ (e13 = e12)
% 58.76/9.36
% 58.76/9.36 Begin of proof
% 58.76/9.36 |
% 58.76/9.36 | BETA: splitting (6) gives:
% 58.76/9.36 |
% 58.76/9.36 | Case 1:
% 58.76/9.36 | |
% 58.76/9.36 | | (8) all_20_20 = all_20_21
% 58.76/9.36 | |
% 58.76/9.36 | | COMBINE_EQS: (4), (8) imply:
% 58.76/9.36 | | (9) all_20_21 = e12
% 58.76/9.36 | |
% 58.76/9.36 | | COMBINE_EQS: (5), (9) imply:
% 58.76/9.36 | | (10) e13 = e12
% 58.76/9.36 | |
% 58.76/9.36 | | REDUCE: (7), (10) imply:
% 58.76/9.36 | | (11) $false
% 58.76/9.36 | |
% 58.76/9.36 | | CLOSE: (11) is inconsistent.
% 58.76/9.36 | |
% 58.76/9.36 | Case 2:
% 58.76/9.36 | |
% 58.76/9.36 | | (12) all_20_22 = all_20_23
% 58.76/9.36 | |
% 58.76/9.36 | | REF_CLOSE: (1), (2), (3), (12) are inconsistent by sub-proof #66.
% 58.76/9.36 | |
% 58.76/9.36 | End of split
% 58.76/9.36 |
% 58.76/9.36 End of proof
% 58.76/9.36
% 58.76/9.36 Sub-proof #66 shows that the following formulas are inconsistent:
% 58.76/9.36 ----------------------------------------------------------------
% 58.76/9.36 (1) all_20_22 = e11
% 58.76/9.36 (2) all_20_22 = all_20_23
% 58.76/9.36 (3) all_20_23 = e10
% 58.76/9.36 (4) ~ (e11 = e10)
% 58.76/9.36
% 58.76/9.36 Begin of proof
% 58.76/9.36 |
% 58.76/9.36 | COMBINE_EQS: (1), (2) imply:
% 58.76/9.36 | (5) all_20_23 = e11
% 58.76/9.36 |
% 58.76/9.36 | COMBINE_EQS: (3), (5) imply:
% 58.76/9.36 | (6) e11 = e10
% 58.76/9.36 |
% 58.76/9.36 | SIMP: (6) implies:
% 58.76/9.37 | (7) e11 = e10
% 58.76/9.37 |
% 58.76/9.37 | REDUCE: (4), (7) imply:
% 58.76/9.37 | (8) $false
% 58.76/9.37 |
% 58.76/9.37 | CLOSE: (8) is inconsistent.
% 58.76/9.37 |
% 58.76/9.37 End of proof
% 58.76/9.37
% 58.76/9.37 Sub-proof #67 shows that the following formulas are inconsistent:
% 58.76/9.37 ----------------------------------------------------------------
% 58.76/9.37 (1) all_16_1 = all_12_4
% 58.76/9.37 (2) all_16_1 = e12
% 58.76/9.37 (3) ~ (all_12_4 = e12)
% 58.76/9.37
% 58.76/9.37 Begin of proof
% 58.76/9.37 |
% 58.76/9.37 | COMBINE_EQS: (1), (2) imply:
% 58.76/9.37 | (4) all_12_4 = e12
% 58.76/9.37 |
% 58.76/9.37 | SIMP: (4) implies:
% 58.76/9.37 | (5) all_12_4 = e12
% 58.76/9.37 |
% 58.76/9.37 | REDUCE: (3), (5) imply:
% 58.76/9.37 | (6) $false
% 58.76/9.37 |
% 58.76/9.37 | CLOSE: (6) is inconsistent.
% 58.76/9.37 |
% 58.76/9.37 End of proof
% 58.76/9.37
% 58.76/9.37 Sub-proof #68 shows that the following formulas are inconsistent:
% 58.76/9.37 ----------------------------------------------------------------
% 58.76/9.37 (1) all_16_1 = all_12_4
% 58.76/9.37 (2) all_16_1 = e10
% 58.76/9.37 (3) ~ (all_12_4 = e10)
% 58.76/9.37
% 58.76/9.37 Begin of proof
% 58.76/9.37 |
% 58.76/9.37 | COMBINE_EQS: (1), (2) imply:
% 58.76/9.37 | (4) all_12_4 = e10
% 58.76/9.37 |
% 58.76/9.37 | SIMP: (4) implies:
% 58.76/9.37 | (5) all_12_4 = e10
% 58.76/9.37 |
% 58.76/9.37 | REDUCE: (3), (5) imply:
% 58.76/9.37 | (6) $false
% 58.76/9.37 |
% 58.76/9.37 | CLOSE: (6) is inconsistent.
% 58.76/9.37 |
% 58.76/9.37 End of proof
% 58.76/9.37
% 58.76/9.37 Sub-proof #69 shows that the following formulas are inconsistent:
% 58.76/9.37 ----------------------------------------------------------------
% 58.76/9.37 (1) all_16_9 = all_12_6
% 58.76/9.37 (2) all_16_9 = e10
% 58.76/9.37 (3) ~ (all_12_6 = e10)
% 58.76/9.37
% 58.76/9.37 Begin of proof
% 58.76/9.37 |
% 58.76/9.37 | COMBINE_EQS: (1), (2) imply:
% 58.76/9.37 | (4) all_12_6 = e10
% 58.76/9.37 |
% 58.76/9.37 | SIMP: (4) implies:
% 58.76/9.37 | (5) all_12_6 = e10
% 58.76/9.37 |
% 58.76/9.37 | REDUCE: (3), (5) imply:
% 58.76/9.37 | (6) $false
% 58.76/9.37 |
% 58.76/9.37 | CLOSE: (6) is inconsistent.
% 58.76/9.37 |
% 58.76/9.37 End of proof
% 58.76/9.37
% 58.76/9.37 Sub-proof #70 shows that the following formulas are inconsistent:
% 58.76/9.37 ----------------------------------------------------------------
% 58.76/9.37 (1) all_24_4 = all_12_8
% 58.76/9.37 (2) all_24_4 = e13
% 58.76/9.37 (3) ~ (all_12_8 = e13)
% 58.76/9.37
% 58.76/9.37 Begin of proof
% 58.76/9.37 |
% 58.76/9.37 | COMBINE_EQS: (1), (2) imply:
% 58.76/9.37 | (4) all_12_8 = e13
% 58.76/9.37 |
% 58.76/9.37 | SIMP: (4) implies:
% 58.76/9.37 | (5) all_12_8 = e13
% 58.76/9.37 |
% 58.76/9.37 | REDUCE: (3), (5) imply:
% 58.76/9.37 | (6) $false
% 58.76/9.37 |
% 58.76/9.37 | CLOSE: (6) is inconsistent.
% 58.76/9.37 |
% 58.76/9.37 End of proof
% 58.76/9.37
% 58.76/9.37 Sub-proof #71 shows that the following formulas are inconsistent:
% 58.76/9.37 ----------------------------------------------------------------
% 58.76/9.37 (1) all_16_9 = all_12_6
% 58.76/9.37 (2) all_16_9 = e13
% 58.76/9.37 (3) ~ (all_12_6 = e13)
% 58.76/9.37
% 58.76/9.37 Begin of proof
% 58.76/9.37 |
% 58.76/9.37 | COMBINE_EQS: (1), (2) imply:
% 58.76/9.37 | (4) all_12_6 = e13
% 58.76/9.37 |
% 58.76/9.37 | SIMP: (4) implies:
% 58.76/9.37 | (5) all_12_6 = e13
% 58.76/9.37 |
% 58.76/9.37 | REDUCE: (3), (5) imply:
% 58.76/9.37 | (6) $false
% 58.76/9.37 |
% 58.76/9.37 | CLOSE: (6) is inconsistent.
% 58.76/9.37 |
% 58.76/9.37 End of proof
% 58.76/9.37
% 58.76/9.37 Sub-proof #72 shows that the following formulas are inconsistent:
% 58.76/9.37 ----------------------------------------------------------------
% 58.76/9.37 (1) all_20_5 = all_12_10
% 58.76/9.37 (2) all_20_5 = e11
% 58.76/9.37 (3) ~ (all_12_10 = e11)
% 58.76/9.37
% 58.76/9.37 Begin of proof
% 58.76/9.37 |
% 58.76/9.37 | COMBINE_EQS: (1), (2) imply:
% 58.76/9.37 | (4) all_12_10 = e11
% 58.76/9.37 |
% 58.76/9.37 | SIMP: (4) implies:
% 58.76/9.37 | (5) all_12_10 = e11
% 58.76/9.37 |
% 58.76/9.37 | REDUCE: (3), (5) imply:
% 58.76/9.37 | (6) $false
% 58.76/9.37 |
% 58.76/9.37 | CLOSE: (6) is inconsistent.
% 58.76/9.37 |
% 58.76/9.37 End of proof
% 58.76/9.37
% 58.76/9.37 Sub-proof #73 shows that the following formulas are inconsistent:
% 58.76/9.37 ----------------------------------------------------------------
% 58.76/9.37 (1) all_20_1 = e12
% 58.76/9.37 (2) all_20_1 = e10
% 58.76/9.37 (3) ~ (e12 = e10)
% 58.76/9.37
% 58.76/9.37 Begin of proof
% 58.76/9.37 |
% 58.76/9.37 | COMBINE_EQS: (1), (2) imply:
% 58.76/9.37 | (4) e12 = e10
% 58.76/9.37 |
% 58.76/9.37 | SIMP: (4) implies:
% 58.76/9.37 | (5) e12 = e10
% 58.76/9.37 |
% 58.76/9.37 | REDUCE: (3), (5) imply:
% 58.76/9.37 | (6) $false
% 58.76/9.37 |
% 58.76/9.37 | CLOSE: (6) is inconsistent.
% 58.76/9.37 |
% 58.76/9.37 End of proof
% 58.76/9.37
% 58.76/9.37 Sub-proof #74 shows that the following formulas are inconsistent:
% 58.76/9.37 ----------------------------------------------------------------
% 58.76/9.37 (1) all_24_2 = e13
% 58.76/9.37 (2) all_24_2 = e11
% 58.76/9.37 (3) ~ (e13 = e11)
% 58.76/9.37
% 58.76/9.37 Begin of proof
% 58.76/9.37 |
% 58.76/9.37 | COMBINE_EQS: (1), (2) imply:
% 58.76/9.37 | (4) e13 = e11
% 58.76/9.37 |
% 58.76/9.37 | SIMP: (4) implies:
% 58.76/9.37 | (5) e13 = e11
% 58.76/9.37 |
% 58.76/9.37 | REDUCE: (3), (5) imply:
% 58.76/9.37 | (6) $false
% 58.76/9.37 |
% 58.76/9.37 | CLOSE: (6) is inconsistent.
% 58.76/9.37 |
% 58.76/9.37 End of proof
% 58.76/9.37
% 58.76/9.37 Sub-proof #75 shows that the following formulas are inconsistent:
% 58.76/9.37 ----------------------------------------------------------------
% 58.76/9.37 (1) all_24_0 = e11
% 58.76/9.37 (2) all_24_0 = e10
% 58.76/9.37 (3) ~ (e11 = e10)
% 58.76/9.37
% 58.76/9.37 Begin of proof
% 58.76/9.37 |
% 58.76/9.37 | COMBINE_EQS: (1), (2) imply:
% 58.76/9.37 | (4) e11 = e10
% 58.76/9.37 |
% 58.76/9.37 | SIMP: (4) implies:
% 58.76/9.37 | (5) e11 = e10
% 58.76/9.37 |
% 58.76/9.37 | REDUCE: (3), (5) imply:
% 58.76/9.37 | (6) $false
% 58.76/9.37 |
% 58.76/9.37 | CLOSE: (6) is inconsistent.
% 58.76/9.37 |
% 58.76/9.37 End of proof
% 58.76/9.37 % SZS output end Proof for theBenchmark
% 58.76/9.37
% 58.76/9.37 8757ms
%------------------------------------------------------------------------------