TSTP Solution File: ALG112+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : ALG112+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 : n012.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 16:36:25 EDT 2023
% Result : Theorem 15.38s 4.47s
% Output : Proof 52.30s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.29 % Problem : ALG112+1 : TPTP v8.1.2. Released v2.7.0.
% 0.06/0.29 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.11/0.49 % Computer : n012.cluster.edu
% 0.11/0.49 % Model : x86_64 x86_64
% 0.11/0.49 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.49 % Memory : 8042.1875MB
% 0.11/0.49 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.49 % CPULimit : 300
% 0.11/0.49 % WCLimit : 300
% 0.11/0.49 % DateTime : Mon Aug 28 04:11:25 EDT 2023
% 0.11/0.49 % CPUTime :
% 0.15/0.73 ________ _____
% 0.15/0.73 ___ __ \_________(_)________________________________
% 0.15/0.73 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.15/0.73 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.15/0.73 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.15/0.73
% 0.15/0.73 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.15/0.73 (2023-06-19)
% 0.15/0.73
% 0.15/0.73 (c) Philipp Rümmer, 2009-2023
% 0.15/0.73 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.15/0.73 Amanda Stjerna.
% 0.15/0.73 Free software under BSD-3-Clause.
% 0.15/0.73
% 0.15/0.73 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.15/0.73
% 0.15/0.73 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.36/0.77 Running up to 7 provers in parallel.
% 0.56/0.83 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.56/0.83 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.56/0.83 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.56/0.83 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.56/0.83 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.56/0.83 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.56/0.83 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 3.96/2.09 Prover 4: Preprocessing ...
% 3.96/2.10 Prover 1: Preprocessing ...
% 4.25/2.18 Prover 2: Preprocessing ...
% 4.25/2.18 Prover 6: Preprocessing ...
% 4.25/2.18 Prover 3: Preprocessing ...
% 4.25/2.18 Prover 5: Preprocessing ...
% 4.25/2.19 Prover 0: Preprocessing ...
% 9.25/3.19 Prover 3: Constructing countermodel ...
% 9.25/3.19 Prover 2: Constructing countermodel ...
% 9.25/3.19 Prover 1: Constructing countermodel ...
% 9.25/3.20 Prover 6: Constructing countermodel ...
% 9.25/3.20 Prover 4: Constructing countermodel ...
% 9.66/3.23 Prover 0: Constructing countermodel ...
% 12.96/4.01 Prover 5: Constructing countermodel ...
% 15.38/4.45 Prover 3: proved (3652ms)
% 15.38/4.45
% 15.38/4.47 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.38/4.47
% 15.38/4.48 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 15.38/4.49 Prover 6: stopped
% 15.38/4.49 Prover 2: stopped
% 15.38/4.51 Prover 0: stopped
% 15.38/4.51 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 15.38/4.51 Prover 5: stopped
% 15.64/4.52 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 15.64/4.52 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 15.64/4.53 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 17.33/4.93 Prover 7: Preprocessing ...
% 17.33/4.98 Prover 11: Preprocessing ...
% 17.33/4.99 Prover 10: Preprocessing ...
% 17.33/4.99 Prover 8: Preprocessing ...
% 17.33/5.02 Prover 13: Preprocessing ...
% 20.06/5.48 Prover 8: Constructing countermodel ...
% 20.94/5.74 Prover 13: Constructing countermodel ...
% 20.94/5.79 Prover 11: Constructing countermodel ...
% 20.94/5.80 Prover 7: Constructing countermodel ...
% 20.94/5.86 Prover 10: Constructing countermodel ...
% 41.18/9.83 Prover 13: stopped
% 41.18/9.86 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 42.22/10.06 Prover 16: Preprocessing ...
% 44.27/10.49 Prover 16: Constructing countermodel ...
% 46.05/10.85 Prover 1: Found proof (size 5078)
% 46.05/10.85 Prover 1: proved (10065ms)
% 46.05/10.85 Prover 10: stopped
% 46.05/10.85 Prover 11: stopped
% 46.05/10.85 Prover 16: stopped
% 46.05/10.85 Prover 7: stopped
% 46.05/10.85 Prover 8: stopped
% 46.05/10.92 Prover 4: Found proof (size 4787)
% 46.05/10.92 Prover 4: proved (10120ms)
% 46.05/10.92
% 46.05/10.92 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 46.05/10.92
% 47.85/11.75 % SZS output start Proof for theBenchmark
% 48.08/11.78 Assumptions after simplification:
% 48.08/11.78 ---------------------------------
% 48.08/11.78
% 48.08/11.78 (ax1)
% 48.39/11.88 $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 48.39/11.88 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 48.39/11.88 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 48.39/11.88 [v13: $i] : ? [v14: $i] : ? [v15: $i] : (op1(e13, e13) = v15 & op1(e13, e12)
% 48.39/11.88 = v14 & op1(e13, e11) = v13 & op1(e13, e10) = v12 & op1(e12, e13) = v11 &
% 48.39/11.88 op1(e12, e12) = v10 & op1(e12, e11) = v9 & op1(e12, e10) = v8 & op1(e11,
% 48.39/11.88 e13) = v7 & op1(e11, e12) = v6 & op1(e11, e11) = v5 & op1(e11, e10) = v4 &
% 48.39/11.88 op1(e10, e13) = v3 & op1(e10, e12) = v2 & op1(e10, e11) = v1 & op1(e10, e10)
% 48.39/11.88 = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) &
% 48.39/11.88 $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) &
% 48.39/11.88 $i(v0) & (v15 = e13 | v15 = e12 | v15 = e11 | v15 = e10) & (v14 = e13 | v14
% 48.39/11.88 = e12 | v14 = e11 | v14 = e10) & (v13 = e13 | v13 = e12 | v13 = e11 | v13
% 48.39/11.88 = e10) & (v12 = e13 | v12 = e12 | v12 = e11 | v12 = e10) & (v11 = e13 |
% 48.39/11.88 v11 = e12 | v11 = e11 | v11 = e10) & (v10 = e13 | v10 = e12 | v10 = e11 |
% 48.39/11.88 v10 = e10) & (v9 = e13 | v9 = e12 | v9 = e11 | v9 = e10) & (v8 = e13 | v8
% 48.39/11.88 = e12 | v8 = e11 | v8 = e10) & (v7 = e13 | v7 = e12 | v7 = e11 | v7 = e10)
% 48.39/11.88 & (v6 = e13 | v6 = e12 | v6 = e11 | v6 = e10) & (v5 = e13 | v5 = e12 | v5 =
% 48.39/11.88 e11 | v5 = e10) & (v4 = e13 | v4 = e12 | v4 = e11 | v4 = e10) & (v3 = e13
% 48.39/11.88 | v3 = e12 | v3 = e11 | v3 = e10) & (v2 = e13 | v2 = e12 | v2 = e11 | v2 =
% 48.39/11.88 e10) & (v1 = e13 | v1 = e12 | v1 = e11 | v1 = e10) & (v0 = e13 | v0 = e12
% 48.39/11.88 | v0 = e11 | v0 = e10))
% 48.39/11.88
% 48.39/11.88 (ax10)
% 48.39/11.90 $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 48.39/11.90 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 48.39/11.90 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 48.39/11.90 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ?
% 48.39/11.90 [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ?
% 48.39/11.90 [v23: $i] : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ?
% 48.39/11.90 [v28: $i] : ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : (op1(v30, v30) = v31
% 48.39/11.90 & op1(v28, v28) = v29 & op1(v26, v26) = v27 & op1(v24, v24) = v25 & op1(v22,
% 48.39/11.90 v22) = v23 & op1(v20, v20) = v21 & op1(v18, v18) = v19 & op1(v16, v16) =
% 48.39/11.90 v17 & op1(v14, v14) = v15 & op1(v12, v12) = v13 & op1(v10, v10) = v11 &
% 48.39/11.90 op1(v8, v8) = v9 & op1(v6, v6) = v7 & op1(v4, v4) = v5 & op1(v2, v2) = v3 &
% 48.39/11.90 op1(v0, v0) = v1 & op1(e13, e13) = v30 & op1(e13, e12) = v22 & op1(e13, e11)
% 48.39/11.90 = v14 & op1(e13, e10) = v6 & op1(e12, e13) = v28 & op1(e12, e12) = v20 &
% 48.39/11.90 op1(e12, e11) = v12 & op1(e12, e10) = v4 & op1(e11, e13) = v26 & op1(e11,
% 48.39/11.90 e12) = v18 & op1(e11, e11) = v10 & op1(e11, e10) = v2 & op1(e10, e13) =
% 48.39/11.90 v24 & op1(e10, e12) = v16 & op1(e10, e11) = v8 & op1(e10, e10) = v0 &
% 48.39/11.90 $i(v31) & $i(v30) & $i(v29) & $i(v28) & $i(v27) & $i(v26) & $i(v25) &
% 48.39/11.90 $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19) & $i(v18) &
% 48.39/11.90 $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) &
% 48.39/11.90 $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) &
% 48.39/11.90 $i(v2) & $i(v1) & $i(v0) & ((v31 = e13 & v29 = e12 & v27 = e11 & v25 = e10)
% 48.39/11.90 | (v23 = e13 & v21 = e12 & v19 = e11 & v17 = e10) | (v15 = e13 & v13 = e12
% 48.39/11.90 & v11 = e11 & v9 = e10) | (v7 = e13 & v5 = e12 & v3 = e11 & v1 = e10)))
% 48.39/11.90
% 48.39/11.90 (ax11)
% 48.39/11.90 $i(e23) & $i(e22) & $i(e21) & $i(e20) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 48.39/11.90 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 48.39/11.90 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 48.39/11.90 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ?
% 48.39/11.90 [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ?
% 48.39/11.90 [v23: $i] : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ?
% 48.39/11.90 [v28: $i] : ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : (op2(v30, v30) = v31
% 48.39/11.90 & op2(v28, v28) = v29 & op2(v26, v26) = v27 & op2(v24, v24) = v25 & op2(v22,
% 48.39/11.90 v22) = v23 & op2(v20, v20) = v21 & op2(v18, v18) = v19 & op2(v16, v16) =
% 48.39/11.90 v17 & op2(v14, v14) = v15 & op2(v12, v12) = v13 & op2(v10, v10) = v11 &
% 48.39/11.90 op2(v8, v8) = v9 & op2(v6, v6) = v7 & op2(v4, v4) = v5 & op2(v2, v2) = v3 &
% 48.39/11.90 op2(v0, v0) = v1 & op2(e23, e23) = v30 & op2(e23, e22) = v22 & op2(e23, e21)
% 48.39/11.90 = v14 & op2(e23, e20) = v6 & op2(e22, e23) = v28 & op2(e22, e22) = v20 &
% 48.39/11.90 op2(e22, e21) = v12 & op2(e22, e20) = v4 & op2(e21, e23) = v26 & op2(e21,
% 48.39/11.90 e22) = v18 & op2(e21, e21) = v10 & op2(e21, e20) = v2 & op2(e20, e23) =
% 48.39/11.90 v24 & op2(e20, e22) = v16 & op2(e20, e21) = v8 & op2(e20, e20) = v0 &
% 48.39/11.90 $i(v31) & $i(v30) & $i(v29) & $i(v28) & $i(v27) & $i(v26) & $i(v25) &
% 48.39/11.90 $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19) & $i(v18) &
% 48.39/11.90 $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) &
% 48.39/11.90 $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) &
% 48.39/11.90 $i(v2) & $i(v1) & $i(v0) & ((v31 = e23 & v29 = e22 & v27 = e21 & v25 = e20)
% 48.39/11.90 | (v23 = e23 & v21 = e22 & v19 = e21 & v17 = e20) | (v15 = e23 & v13 = e22
% 48.39/11.90 & v11 = e21 & v9 = e20) | (v7 = e23 & v5 = e22 & v3 = e21 & v1 = e20)))
% 48.39/11.90
% 48.39/11.90 (ax12)
% 48.39/11.90 op1(e12, e11) = e10 & op1(e11, e11) = e12 & op1(e11, e10) = e13 & $i(e13) &
% 48.39/11.90 $i(e12) & $i(e11) & $i(e10)
% 48.39/11.90
% 48.39/11.90 (ax13)
% 48.39/11.91 op2(e22, e21) = e20 & op2(e21, e21) = e22 & op2(e21, e20) = e23 & $i(e23) &
% 48.39/11.91 $i(e22) & $i(e21) & $i(e20)
% 48.39/11.91
% 48.39/11.91 (ax14)
% 48.39/11.91 $i(e20) & $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] :
% 48.39/11.91 ? [v2: $i] : (h1(e13) = v2 & h1(e12) = v1 & h1(e11) = e20 & h1(e10) = v0 &
% 48.39/11.91 op2(v1, e20) = v0 & op2(e20, v0) = v2 & op2(e20, e20) = v1 & $i(v2) & $i(v1)
% 48.39/11.91 & $i(v0))
% 48.39/11.91
% 48.39/11.91 (ax15)
% 48.39/11.91 $i(e21) & $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] :
% 48.39/11.91 ? [v2: $i] : (h2(e13) = v2 & h2(e12) = v1 & h2(e11) = e21 & h2(e10) = v0 &
% 48.39/11.91 op2(v1, e21) = v0 & op2(e21, v0) = v2 & op2(e21, e21) = v1 & $i(v2) & $i(v1)
% 48.39/11.91 & $i(v0))
% 48.39/11.91
% 48.39/11.91 (ax16)
% 48.39/11.91 $i(e22) & $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] :
% 48.39/11.91 ? [v2: $i] : (h3(e13) = v2 & h3(e12) = v1 & h3(e11) = e22 & h3(e10) = v0 &
% 48.39/11.91 op2(v1, e22) = v0 & op2(e22, v0) = v2 & op2(e22, e22) = v1 & $i(v2) & $i(v1)
% 48.39/11.91 & $i(v0))
% 48.39/11.91
% 48.39/11.91 (ax17)
% 48.39/11.91 $i(e23) & $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] :
% 48.39/11.91 ? [v2: $i] : (h4(e13) = v2 & h4(e12) = v1 & h4(e11) = e23 & h4(e10) = v0 &
% 48.39/11.91 op2(v1, e23) = v0 & op2(e23, v0) = v2 & op2(e23, e23) = v1 & $i(v2) & $i(v1)
% 48.39/11.91 & $i(v0))
% 48.39/11.91
% 48.39/11.91 (ax2)
% 48.39/11.92 $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 48.39/11.92 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 48.39/11.92 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 48.39/11.92 [v13: $i] : ? [v14: $i] : ? [v15: $i] : (op1(e13, e13) = v15 & op1(e13, e12)
% 48.39/11.92 = v14 & op1(e13, e11) = v11 & op1(e13, e10) = v6 & op1(e12, e13) = v13 &
% 48.39/11.92 op1(e12, e12) = v12 & op1(e12, e11) = v10 & op1(e12, e10) = v5 & op1(e11,
% 48.39/11.92 e13) = v9 & op1(e11, e12) = v8 & op1(e11, e11) = v7 & op1(e11, e10) = v4 &
% 48.39/11.92 op1(e10, e13) = v3 & op1(e10, e12) = v2 & op1(e10, e11) = v1 & op1(e10, e10)
% 48.39/11.92 = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) &
% 48.39/11.92 $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) &
% 48.39/11.93 $i(v0) & (v15 = e13 | v14 = e13 | v11 = e13 | v6 = e13) & (v15 = e13 | v13 =
% 48.39/11.93 e13 | v9 = e13 | v3 = e13) & (v15 = e12 | v14 = e12 | v11 = e12 | v6 =
% 48.39/11.93 e12) & (v15 = e12 | v13 = e12 | v9 = e12 | v3 = e12) & (v15 = e11 | v14 =
% 48.39/11.93 e11 | v11 = e11 | v6 = e11) & (v15 = e11 | v13 = e11 | v9 = e11 | v3 =
% 48.39/11.93 e11) & (v15 = e10 | v14 = e10 | v11 = e10 | v6 = e10) & (v15 = e10 | v13 =
% 48.39/11.93 e10 | v9 = e10 | v3 = e10) & (v14 = e13 | v12 = e13 | v8 = e13 | v2 = e13)
% 48.39/11.93 & (v14 = e12 | v12 = e12 | v8 = e12 | v2 = e12) & (v14 = e11 | v12 = e11 |
% 48.39/11.93 v8 = e11 | v2 = e11) & (v14 = e10 | v12 = e10 | v8 = e10 | v2 = e10) &
% 48.39/11.93 (v13 = e13 | v12 = e13 | v10 = e13 | v5 = e13) & (v13 = e12 | v12 = e12 |
% 48.39/11.93 v10 = e12 | v5 = e12) & (v13 = e11 | v12 = e11 | v10 = e11 | v5 = e11) &
% 48.39/11.93 (v13 = e10 | v12 = e10 | v10 = e10 | v5 = e10) & (v11 = e13 | v10 = e13 | v7
% 48.39/11.93 = e13 | v1 = e13) & (v11 = e12 | v10 = e12 | v7 = e12 | v1 = e12) & (v11 =
% 48.39/11.93 e11 | v10 = e11 | v7 = e11 | v1 = e11) & (v11 = e10 | v10 = e10 | v7 = e10
% 48.39/11.93 | v1 = e10) & (v9 = e13 | v8 = e13 | v7 = e13 | v4 = e13) & (v9 = e12 | v8
% 48.39/11.93 = e12 | v7 = e12 | v4 = e12) & (v9 = e11 | v8 = e11 | v7 = e11 | v4 = e11)
% 48.39/11.93 & (v9 = e10 | v8 = e10 | v7 = e10 | v4 = e10) & (v6 = e13 | v5 = e13 | v4 =
% 48.39/11.93 e13 | v0 = e13) & (v6 = e12 | v5 = e12 | v4 = e12 | v0 = e12) & (v6 = e11
% 48.39/11.93 | v5 = e11 | v4 = e11 | v0 = e11) & (v3 = e13 | v2 = e13 | v1 = e13 | v0 =
% 48.39/11.93 e13) & (v3 = e12 | v2 = e12 | v1 = e12 | v0 = e12) & (v3 = e11 | v2 = e11
% 48.39/11.93 | v1 = e11 | v0 = e11) & (v0 = e10 | ((v6 = e10 | v5 = e10 | v4 = e10) &
% 48.39/11.93 (v3 = e10 | v2 = e10 | v1 = e10))))
% 48.39/11.93
% 48.39/11.93 (ax3)
% 48.61/11.94 $i(e23) & $i(e22) & $i(e21) & $i(e20) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 48.61/11.94 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 48.61/11.94 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 48.61/11.94 [v13: $i] : ? [v14: $i] : ? [v15: $i] : (op2(e23, e23) = v15 & op2(e23, e22)
% 48.61/11.94 = v14 & op2(e23, e21) = v13 & op2(e23, e20) = v12 & op2(e22, e23) = v11 &
% 48.61/11.94 op2(e22, e22) = v10 & op2(e22, e21) = v9 & op2(e22, e20) = v8 & op2(e21,
% 48.61/11.94 e23) = v7 & op2(e21, e22) = v6 & op2(e21, e21) = v5 & op2(e21, e20) = v4 &
% 48.61/11.94 op2(e20, e23) = v3 & op2(e20, e22) = v2 & op2(e20, e21) = v1 & op2(e20, e20)
% 48.61/11.94 = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) &
% 48.61/11.94 $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) &
% 48.61/11.94 $i(v0) & (v15 = e23 | v15 = e22 | v15 = e21 | v15 = e20) & (v14 = e23 | v14
% 48.61/11.94 = e22 | v14 = e21 | v14 = e20) & (v13 = e23 | v13 = e22 | v13 = e21 | v13
% 48.61/11.94 = e20) & (v12 = e23 | v12 = e22 | v12 = e21 | v12 = e20) & (v11 = e23 |
% 48.61/11.94 v11 = e22 | v11 = e21 | v11 = e20) & (v10 = e23 | v10 = e22 | v10 = e21 |
% 48.61/11.94 v10 = e20) & (v9 = e23 | v9 = e22 | v9 = e21 | v9 = e20) & (v8 = e23 | v8
% 48.61/11.94 = e22 | v8 = e21 | v8 = e20) & (v7 = e23 | v7 = e22 | v7 = e21 | v7 = e20)
% 48.61/11.94 & (v6 = e23 | v6 = e22 | v6 = e21 | v6 = e20) & (v5 = e23 | v5 = e22 | v5 =
% 48.61/11.94 e21 | v5 = e20) & (v4 = e23 | v4 = e22 | v4 = e21 | v4 = e20) & (v3 = e23
% 48.61/11.94 | v3 = e22 | v3 = e21 | v3 = e20) & (v2 = e23 | v2 = e22 | v2 = e21 | v2 =
% 48.61/11.94 e20) & (v1 = e23 | v1 = e22 | v1 = e21 | v1 = e20) & (v0 = e23 | v0 = e22
% 48.61/11.94 | v0 = e21 | v0 = e20))
% 48.61/11.94
% 48.61/11.94 (ax4)
% 48.61/11.95 $i(e23) & $i(e22) & $i(e21) & $i(e20) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 48.61/11.95 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 48.61/11.95 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 48.61/11.95 [v13: $i] : ? [v14: $i] : ? [v15: $i] : (op2(e23, e23) = v15 & op2(e23, e22)
% 48.61/11.95 = v14 & op2(e23, e21) = v11 & op2(e23, e20) = v6 & op2(e22, e23) = v13 &
% 48.61/11.95 op2(e22, e22) = v12 & op2(e22, e21) = v10 & op2(e22, e20) = v5 & op2(e21,
% 48.61/11.95 e23) = v9 & op2(e21, e22) = v8 & op2(e21, e21) = v7 & op2(e21, e20) = v4 &
% 48.61/11.95 op2(e20, e23) = v3 & op2(e20, e22) = v2 & op2(e20, e21) = v1 & op2(e20, e20)
% 48.61/11.95 = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) &
% 48.61/11.95 $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) &
% 48.61/11.95 $i(v0) & (v15 = e23 | v14 = e23 | v11 = e23 | v6 = e23) & (v15 = e23 | v13 =
% 48.61/11.95 e23 | v9 = e23 | v3 = e23) & (v15 = e22 | v14 = e22 | v11 = e22 | v6 =
% 48.61/11.95 e22) & (v15 = e22 | v13 = e22 | v9 = e22 | v3 = e22) & (v15 = e21 | v14 =
% 48.61/11.95 e21 | v11 = e21 | v6 = e21) & (v15 = e21 | v13 = e21 | v9 = e21 | v3 =
% 48.61/11.95 e21) & (v15 = e20 | v14 = e20 | v11 = e20 | v6 = e20) & (v15 = e20 | v13 =
% 48.61/11.95 e20 | v9 = e20 | v3 = e20) & (v14 = e23 | v12 = e23 | v8 = e23 | v2 = e23)
% 48.61/11.95 & (v14 = e22 | v12 = e22 | v8 = e22 | v2 = e22) & (v14 = e21 | v12 = e21 |
% 48.61/11.95 v8 = e21 | v2 = e21) & (v14 = e20 | v12 = e20 | v8 = e20 | v2 = e20) &
% 48.61/11.95 (v13 = e23 | v12 = e23 | v10 = e23 | v5 = e23) & (v13 = e22 | v12 = e22 |
% 48.61/11.95 v10 = e22 | v5 = e22) & (v13 = e21 | v12 = e21 | v10 = e21 | v5 = e21) &
% 48.61/11.95 (v13 = e20 | v12 = e20 | v10 = e20 | v5 = e20) & (v11 = e23 | v10 = e23 | v7
% 48.61/11.95 = e23 | v1 = e23) & (v11 = e22 | v10 = e22 | v7 = e22 | v1 = e22) & (v11 =
% 48.61/11.95 e21 | v10 = e21 | v7 = e21 | v1 = e21) & (v11 = e20 | v10 = e20 | v7 = e20
% 48.61/11.95 | v1 = e20) & (v9 = e23 | v8 = e23 | v7 = e23 | v4 = e23) & (v9 = e22 | v8
% 48.61/11.95 = e22 | v7 = e22 | v4 = e22) & (v9 = e21 | v8 = e21 | v7 = e21 | v4 = e21)
% 48.61/11.95 & (v9 = e20 | v8 = e20 | v7 = e20 | v4 = e20) & (v6 = e23 | v5 = e23 | v4 =
% 48.61/11.95 e23 | v0 = e23) & (v6 = e22 | v5 = e22 | v4 = e22 | v0 = e22) & (v6 = e21
% 48.61/11.95 | v5 = e21 | v4 = e21 | v0 = e21) & (v3 = e23 | v2 = e23 | v1 = e23 | v0 =
% 48.61/11.95 e23) & (v3 = e22 | v2 = e22 | v1 = e22 | v0 = e22) & (v3 = e21 | v2 = e21
% 48.61/11.95 | v1 = e21 | v0 = e21) & (v0 = e20 | ((v6 = e20 | v5 = e20 | v4 = e20) &
% 48.61/11.95 (v3 = e20 | v2 = e20 | v1 = e20))))
% 48.61/11.95
% 48.61/11.95 (ax5)
% 48.67/11.96 $i(e13) & $i(e12) & $i(e11) & $i(e10) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 48.67/11.96 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 48.67/11.96 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 48.67/11.96 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ( ~ (v15 = v14) & ~ (v15 = v13) &
% 48.67/11.96 ~ (v15 = v12) & ~ (v15 = v11) & ~ (v15 = v7) & ~ (v15 = v3) & ~ (v14 =
% 48.67/11.96 v13) & ~ (v14 = v12) & ~ (v14 = v10) & ~ (v14 = v6) & ~ (v14 = v2) &
% 48.67/11.96 ~ (v13 = v12) & ~ (v13 = v9) & ~ (v13 = v5) & ~ (v13 = v1) & ~ (v12 =
% 48.67/11.96 v8) & ~ (v12 = v4) & ~ (v12 = v0) & ~ (v11 = v10) & ~ (v11 = v9) & ~
% 48.67/11.96 (v11 = v8) & ~ (v11 = v7) & ~ (v11 = v3) & ~ (v10 = v9) & ~ (v10 = v8) &
% 48.67/11.96 ~ (v10 = v6) & ~ (v10 = v2) & ~ (v9 = v8) & ~ (v9 = v5) & ~ (v9 = v1) &
% 48.67/11.96 ~ (v8 = v4) & ~ (v8 = v0) & ~ (v7 = v6) & ~ (v7 = v5) & ~ (v7 = v4) &
% 48.67/11.96 ~ (v7 = v3) & ~ (v6 = v5) & ~ (v6 = v4) & ~ (v6 = v2) & ~ (v5 = v4) & ~
% 48.67/11.96 (v5 = v1) & ~ (v4 = v0) & ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~
% 48.67/11.96 (v2 = v1) & ~ (v2 = v0) & ~ (v1 = v0) & op1(e13, e13) = v15 & op1(e13,
% 48.67/11.96 e12) = v11 & op1(e13, e11) = v7 & op1(e13, e10) = v3 & op1(e12, e13) = v14
% 48.67/11.96 & op1(e12, e12) = v10 & op1(e12, e11) = v6 & op1(e12, e10) = v2 & op1(e11,
% 48.67/11.96 e13) = v13 & op1(e11, e12) = v9 & op1(e11, e11) = v5 & op1(e11, e10) = v1
% 48.67/11.96 & op1(e10, e13) = v12 & op1(e10, e12) = v8 & op1(e10, e11) = v4 & op1(e10,
% 48.67/11.96 e10) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) &
% 48.67/11.96 $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) &
% 48.67/11.96 $i(v1) & $i(v0))
% 48.67/11.96
% 48.67/11.96 (ax6)
% 48.67/11.96 $i(e23) & $i(e22) & $i(e21) & $i(e20) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 48.67/11.96 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 48.67/11.96 ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 48.67/11.96 [v13: $i] : ? [v14: $i] : ? [v15: $i] : ( ~ (v15 = v14) & ~ (v15 = v13) &
% 48.67/11.96 ~ (v15 = v12) & ~ (v15 = v11) & ~ (v15 = v7) & ~ (v15 = v3) & ~ (v14 =
% 48.67/11.96 v13) & ~ (v14 = v12) & ~ (v14 = v10) & ~ (v14 = v6) & ~ (v14 = v2) &
% 48.67/11.96 ~ (v13 = v12) & ~ (v13 = v9) & ~ (v13 = v5) & ~ (v13 = v1) & ~ (v12 =
% 48.67/11.96 v8) & ~ (v12 = v4) & ~ (v12 = v0) & ~ (v11 = v10) & ~ (v11 = v9) & ~
% 48.67/11.96 (v11 = v8) & ~ (v11 = v7) & ~ (v11 = v3) & ~ (v10 = v9) & ~ (v10 = v8) &
% 48.67/11.96 ~ (v10 = v6) & ~ (v10 = v2) & ~ (v9 = v8) & ~ (v9 = v5) & ~ (v9 = v1) &
% 48.67/11.96 ~ (v8 = v4) & ~ (v8 = v0) & ~ (v7 = v6) & ~ (v7 = v5) & ~ (v7 = v4) &
% 48.67/11.96 ~ (v7 = v3) & ~ (v6 = v5) & ~ (v6 = v4) & ~ (v6 = v2) & ~ (v5 = v4) & ~
% 48.67/11.96 (v5 = v1) & ~ (v4 = v0) & ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~
% 48.67/11.96 (v2 = v1) & ~ (v2 = v0) & ~ (v1 = v0) & op2(e23, e23) = v15 & op2(e23,
% 48.67/11.97 e22) = v11 & op2(e23, e21) = v7 & op2(e23, e20) = v3 & op2(e22, e23) = v14
% 48.67/11.97 & op2(e22, e22) = v10 & op2(e22, e21) = v6 & op2(e22, e20) = v2 & op2(e21,
% 48.67/11.97 e23) = v13 & op2(e21, e22) = v9 & op2(e21, e21) = v5 & op2(e21, e20) = v1
% 48.67/11.97 & op2(e20, e23) = v12 & op2(e20, e22) = v8 & op2(e20, e21) = v4 & op2(e20,
% 48.67/11.97 e20) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) &
% 48.67/11.97 $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) &
% 48.67/11.97 $i(v1) & $i(v0))
% 48.67/11.97
% 48.67/11.97 (ax7)
% 48.67/11.97 ~ (e13 = e12) & ~ (e13 = e11) & ~ (e13 = e10) & ~ (e12 = e11) & ~ (e12 =
% 48.67/11.97 e10) & ~ (e11 = e10) & $i(e13) & $i(e12) & $i(e11) & $i(e10)
% 48.67/11.97
% 48.67/11.97 (ax8)
% 48.67/11.97 ~ (e23 = e22) & ~ (e23 = e21) & ~ (e23 = e20) & ~ (e22 = e21) & ~ (e22 =
% 48.67/11.97 e20) & ~ (e21 = e20) & $i(e23) & $i(e22) & $i(e21) & $i(e20)
% 48.67/11.97
% 48.67/11.97 (co1)
% 48.67/12.00 $i(e23) & $i(e22) & $i(e21) & $i(e20) & $i(e13) & $i(e12) & $i(e11) & $i(e10)
% 48.67/12.00 & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ?
% 48.67/12.00 [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? [v10:
% 48.67/12.00 $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] : ? [v15:
% 48.67/12.00 $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ? [v19: $i] : ? [v20:
% 48.67/12.00 $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i] : ? [v24: $i] : ? [v25:
% 48.67/12.00 $i] : ? [v26: $i] : ? [v27: $i] : ? [v28: $i] : ? [v29: $i] : ? [v30:
% 48.67/12.00 $i] : ? [v31: $i] : ? [v32: $i] : ? [v33: $i] : ? [v34: $i] : ? [v35:
% 48.67/12.00 $i] : ? [v36: $i] : ? [v37: $i] : ? [v38: $i] : ? [v39: $i] : ? [v40:
% 48.67/12.00 $i] : ? [v41: $i] : ? [v42: $i] : ? [v43: $i] : ? [v44: $i] : ? [v45:
% 48.67/12.00 $i] : ? [v46: $i] : ? [v47: $i] : ? [v48: $i] : ? [v49: $i] : ? [v50:
% 48.67/12.00 $i] : ? [v51: $i] : ? [v52: $i] : ? [v53: $i] : ? [v54: $i] : ? [v55:
% 48.67/12.00 $i] : ? [v56: $i] : ? [v57: $i] : ? [v58: $i] : ? [v59: $i] : ? [v60:
% 48.67/12.00 $i] : ? [v61: $i] : ? [v62: $i] : ? [v63: $i] : ? [v64: $i] : ? [v65:
% 48.67/12.00 $i] : ? [v66: $i] : ? [v67: $i] : ? [v68: $i] : ? [v69: $i] : ? [v70:
% 48.67/12.00 $i] : ? [v71: $i] : ? [v72: $i] : ? [v73: $i] : ? [v74: $i] : ? [v75:
% 48.67/12.00 $i] : ? [v76: $i] : ? [v77: $i] : ? [v78: $i] : ? [v79: $i] : ? [v80:
% 48.67/12.00 $i] : ? [v81: $i] : ? [v82: $i] : ? [v83: $i] : ? [v84: $i] : ? [v85:
% 48.67/12.00 $i] : ? [v86: $i] : ? [v87: $i] : ? [v88: $i] : ? [v89: $i] : ? [v90:
% 48.67/12.00 $i] : ? [v91: $i] : ? [v92: $i] : ? [v93: $i] : ? [v94: $i] : ? [v95:
% 48.67/12.00 $i] : ? [v96: $i] : ? [v97: $i] : ? [v98: $i] : ? [v99: $i] : ? [v100:
% 48.67/12.00 $i] : ? [v101: $i] : ? [v102: $i] : ? [v103: $i] : ? [v104: $i] : ?
% 48.67/12.00 [v105: $i] : ? [v106: $i] : ? [v107: $i] : ? [v108: $i] : ? [v109: $i] :
% 48.67/12.00 ? [v110: $i] : ? [v111: $i] : ? [v112: $i] : ? [v113: $i] : ? [v114: $i] :
% 48.67/12.00 ? [v115: $i] : ? [v116: $i] : ? [v117: $i] : ? [v118: $i] : ? [v119: $i]
% 48.67/12.00 : ? [v120: $i] : ? [v121: $i] : ? [v122: $i] : ? [v123: $i] : ? [v124:
% 48.67/12.00 $i] : ? [v125: $i] : ? [v126: $i] : ? [v127: $i] : ? [v128: $i] : ?
% 48.67/12.00 [v129: $i] : ? [v130: $i] : ? [v131: $i] : ? [v132: $i] : ? [v133: $i] :
% 48.67/12.00 ? [v134: $i] : ? [v135: $i] : ? [v136: $i] : ? [v137: $i] : ? [v138: $i] :
% 48.67/12.00 ? [v139: $i] : ? [v140: $i] : ? [v141: $i] : ? [v142: $i] : ? [v143: $i]
% 48.67/12.00 : ? [v144: $i] : ? [v145: $i] : ? [v146: $i] : ? [v147: $i] : ? [v148:
% 48.67/12.00 $i] : ? [v149: $i] : ? [v150: $i] : ? [v151: $i] : ? [v152: $i] : ?
% 48.67/12.00 [v153: $i] : ? [v154: $i] : ? [v155: $i] : ? [v156: $i] : ? [v157: $i] :
% 48.67/12.00 ? [v158: $i] : ? [v159: $i] : (h4(v49) = v158 & h4(v46) = v156 & h4(v43) =
% 48.67/12.00 v154 & h4(v40) = v152 & h4(v37) = v150 & h4(v34) = v148 & h4(v31) = v146 &
% 48.67/12.00 h4(v28) = v144 & h4(v25) = v142 & h4(v22) = v140 & h4(v19) = v138 & h4(v16)
% 48.67/12.00 = v136 & h4(v12) = v133 & h4(v8) = v130 & h4(v4) = v127 & h4(v0) = v124 &
% 48.67/12.00 h4(e13) = v134 & h4(e12) = v131 & h4(e11) = v128 & h4(e10) = v125 & h3(v49)
% 48.67/12.00 = v122 & h3(v46) = v120 & h3(v43) = v118 & h3(v40) = v116 & h3(v37) = v114 &
% 48.67/12.00 h3(v34) = v112 & h3(v31) = v110 & h3(v28) = v108 & h3(v25) = v106 & h3(v22)
% 48.67/12.00 = v104 & h3(v19) = v102 & h3(v16) = v100 & h3(v12) = v97 & h3(v8) = v94 &
% 48.67/12.00 h3(v4) = v91 & h3(v0) = v88 & h3(e13) = v98 & h3(e12) = v95 & h3(e11) = v92
% 48.67/12.00 & h3(e10) = v89 & h2(v49) = v86 & h2(v46) = v84 & h2(v43) = v82 & h2(v40) =
% 48.67/12.00 v80 & h2(v37) = v78 & h2(v34) = v76 & h2(v31) = v74 & h2(v28) = v72 &
% 48.67/12.00 h2(v25) = v70 & h2(v22) = v68 & h2(v19) = v66 & h2(v16) = v64 & h2(v12) =
% 48.67/12.00 v61 & h2(v8) = v58 & h2(v4) = v55 & h2(v0) = v52 & h2(e13) = v62 & h2(e12) =
% 48.67/12.00 v59 & h2(e11) = v56 & h2(e10) = v53 & h1(v49) = v50 & h1(v46) = v47 &
% 48.67/12.00 h1(v43) = v44 & h1(v40) = v41 & h1(v37) = v38 & h1(v34) = v35 & h1(v31) =
% 48.67/12.00 v32 & h1(v28) = v29 & h1(v25) = v26 & h1(v22) = v23 & h1(v19) = v20 &
% 48.67/12.00 h1(v16) = v17 & h1(v12) = v13 & h1(v8) = v9 & h1(v4) = v5 & h1(v0) = v1 &
% 48.67/12.00 h1(e13) = v14 & h1(e12) = v10 & h1(e11) = v6 & h1(e10) = v2 & op2(v134,
% 48.67/12.00 v134) = v159 & op2(v134, v131) = v157 & op2(v134, v128) = v155 & op2(v134,
% 48.67/12.00 v125) = v153 & op2(v131, v134) = v151 & op2(v131, v131) = v149 & op2(v131,
% 48.67/12.00 v128) = v147 & op2(v131, v125) = v145 & op2(v128, v134) = v143 & op2(v128,
% 48.67/12.00 v131) = v141 & op2(v128, v128) = v139 & op2(v128, v125) = v137 & op2(v125,
% 48.67/12.00 v134) = v135 & op2(v125, v131) = v132 & op2(v125, v128) = v129 & op2(v125,
% 48.67/12.00 v125) = v126 & op2(v98, v98) = v123 & op2(v98, v95) = v121 & op2(v98, v92)
% 48.67/12.00 = v119 & op2(v98, v89) = v117 & op2(v95, v98) = v115 & op2(v95, v95) = v113
% 48.67/12.00 & op2(v95, v92) = v111 & op2(v95, v89) = v109 & op2(v92, v98) = v107 &
% 48.67/12.00 op2(v92, v95) = v105 & op2(v92, v92) = v103 & op2(v92, v89) = v101 &
% 48.67/12.00 op2(v89, v98) = v99 & op2(v89, v95) = v96 & op2(v89, v92) = v93 & op2(v89,
% 48.67/12.00 v89) = v90 & op2(v62, v62) = v87 & op2(v62, v59) = v85 & op2(v62, v56) =
% 48.67/12.00 v83 & op2(v62, v53) = v81 & op2(v59, v62) = v79 & op2(v59, v59) = v77 &
% 48.67/12.00 op2(v59, v56) = v75 & op2(v59, v53) = v73 & op2(v56, v62) = v71 & op2(v56,
% 48.67/12.00 v59) = v69 & op2(v56, v56) = v67 & op2(v56, v53) = v65 & op2(v53, v62) =
% 48.67/12.00 v63 & op2(v53, v59) = v60 & op2(v53, v56) = v57 & op2(v53, v53) = v54 &
% 48.67/12.00 op2(v14, v14) = v51 & op2(v14, v10) = v48 & op2(v14, v6) = v45 & op2(v14,
% 48.67/12.00 v2) = v42 & op2(v10, v14) = v39 & op2(v10, v10) = v36 & op2(v10, v6) = v33
% 48.67/12.00 & op2(v10, v2) = v30 & op2(v6, v14) = v27 & op2(v6, v10) = v24 & op2(v6, v6)
% 48.67/12.00 = v21 & op2(v6, v2) = v18 & op2(v2, v14) = v15 & op2(v2, v10) = v11 &
% 48.67/12.00 op2(v2, v6) = v7 & op2(v2, v2) = v3 & op1(e13, e13) = v49 & op1(e13, e12) =
% 48.67/12.00 v46 & op1(e13, e11) = v43 & op1(e13, e10) = v40 & op1(e12, e13) = v37 &
% 48.67/12.00 op1(e12, e12) = v34 & op1(e12, e11) = v31 & op1(e12, e10) = v28 & op1(e11,
% 48.67/12.00 e13) = v25 & op1(e11, e12) = v22 & op1(e11, e11) = v19 & op1(e11, e10) =
% 48.67/12.00 v16 & op1(e10, e13) = v12 & op1(e10, e12) = v8 & op1(e10, e11) = v4 &
% 48.67/12.00 op1(e10, e10) = v0 & $i(v159) & $i(v158) & $i(v157) & $i(v156) & $i(v155) &
% 48.67/12.00 $i(v154) & $i(v153) & $i(v152) & $i(v151) & $i(v150) & $i(v149) & $i(v148) &
% 48.67/12.00 $i(v147) & $i(v146) & $i(v145) & $i(v144) & $i(v143) & $i(v142) & $i(v141) &
% 48.67/12.00 $i(v140) & $i(v139) & $i(v138) & $i(v137) & $i(v136) & $i(v135) & $i(v134) &
% 48.67/12.00 $i(v133) & $i(v132) & $i(v131) & $i(v130) & $i(v129) & $i(v128) & $i(v127) &
% 48.67/12.00 $i(v126) & $i(v125) & $i(v124) & $i(v123) & $i(v122) & $i(v121) & $i(v120) &
% 48.67/12.00 $i(v119) & $i(v118) & $i(v117) & $i(v116) & $i(v115) & $i(v114) & $i(v113) &
% 48.67/12.00 $i(v112) & $i(v111) & $i(v110) & $i(v109) & $i(v108) & $i(v107) & $i(v106) &
% 48.67/12.00 $i(v105) & $i(v104) & $i(v103) & $i(v102) & $i(v101) & $i(v100) & $i(v99) &
% 48.67/12.00 $i(v98) & $i(v97) & $i(v96) & $i(v95) & $i(v94) & $i(v93) & $i(v92) &
% 48.67/12.00 $i(v91) & $i(v90) & $i(v89) & $i(v88) & $i(v87) & $i(v86) & $i(v85) &
% 48.67/12.00 $i(v84) & $i(v83) & $i(v82) & $i(v81) & $i(v80) & $i(v79) & $i(v78) &
% 48.67/12.00 $i(v77) & $i(v76) & $i(v75) & $i(v74) & $i(v73) & $i(v72) & $i(v71) &
% 48.67/12.00 $i(v70) & $i(v69) & $i(v68) & $i(v67) & $i(v66) & $i(v65) & $i(v64) &
% 48.67/12.00 $i(v63) & $i(v62) & $i(v61) & $i(v60) & $i(v59) & $i(v58) & $i(v57) &
% 48.67/12.00 $i(v56) & $i(v55) & $i(v54) & $i(v53) & $i(v52) & $i(v51) & $i(v50) &
% 48.67/12.00 $i(v49) & $i(v48) & $i(v47) & $i(v46) & $i(v45) & $i(v44) & $i(v43) &
% 48.67/12.00 $i(v42) & $i(v41) & $i(v40) & $i(v39) & $i(v38) & $i(v37) & $i(v36) &
% 48.67/12.00 $i(v35) & $i(v34) & $i(v33) & $i(v32) & $i(v31) & $i(v30) & $i(v29) &
% 48.67/12.00 $i(v28) & $i(v27) & $i(v26) & $i(v25) & $i(v24) & $i(v23) & $i(v22) &
% 48.67/12.00 $i(v21) & $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) &
% 48.67/12.00 $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) &
% 48.67/12.00 $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ( ~ (v159 =
% 48.67/12.00 v158) | ~ (v157 = v156) | ~ (v155 = v154) | ~ (v153 = v152) | ~
% 48.67/12.00 (v151 = v150) | ~ (v149 = v148) | ~ (v147 = v146) | ~ (v145 = v144) |
% 48.67/12.00 ~ (v143 = v142) | ~ (v141 = v140) | ~ (v139 = v138) | ~ (v137 = v136) |
% 48.67/12.00 ~ (v135 = v133) | ~ (v132 = v130) | ~ (v129 = v127) | ~ (v126 = v124)
% 48.67/12.00 | ( ~ (v134 = e23) & ~ (v131 = e23) & ~ (v128 = e23) & ~ (v125 = e23))
% 48.67/12.00 | ( ~ (v134 = e22) & ~ (v131 = e22) & ~ (v128 = e22) & ~ (v125 = e22))
% 48.67/12.00 | ( ~ (v134 = e21) & ~ (v131 = e21) & ~ (v128 = e21) & ~ (v125 = e21))
% 48.67/12.00 | ( ~ (v134 = e20) & ~ (v131 = e20) & ~ (v128 = e20) & ~ (v125 = e20)))
% 48.67/12.00 & ( ~ (v123 = v122) | ~ (v121 = v120) | ~ (v119 = v118) | ~ (v117 = v116)
% 48.67/12.00 | ~ (v115 = v114) | ~ (v113 = v112) | ~ (v111 = v110) | ~ (v109 =
% 48.67/12.00 v108) | ~ (v107 = v106) | ~ (v105 = v104) | ~ (v103 = v102) | ~
% 48.67/12.00 (v101 = v100) | ~ (v99 = v97) | ~ (v96 = v94) | ~ (v93 = v91) | ~ (v90
% 48.67/12.00 = v88) | ( ~ (v98 = e23) & ~ (v95 = e23) & ~ (v92 = e23) & ~ (v89 =
% 48.67/12.00 e23)) | ( ~ (v98 = e22) & ~ (v95 = e22) & ~ (v92 = e22) & ~ (v89 =
% 48.67/12.00 e22)) | ( ~ (v98 = e21) & ~ (v95 = e21) & ~ (v92 = e21) & ~ (v89 =
% 48.67/12.00 e21)) | ( ~ (v98 = e20) & ~ (v95 = e20) & ~ (v92 = e20) & ~ (v89 =
% 48.67/12.00 e20))) & ( ~ (v87 = v86) | ~ (v85 = v84) | ~ (v83 = v82) | ~ (v81 =
% 48.67/12.00 v80) | ~ (v79 = v78) | ~ (v77 = v76) | ~ (v75 = v74) | ~ (v73 = v72)
% 48.67/12.00 | ~ (v71 = v70) | ~ (v69 = v68) | ~ (v67 = v66) | ~ (v65 = v64) | ~
% 48.67/12.00 (v63 = v61) | ~ (v60 = v58) | ~ (v57 = v55) | ~ (v54 = v52) | ( ~ (v62
% 48.67/12.00 = e23) & ~ (v59 = e23) & ~ (v56 = e23) & ~ (v53 = e23)) | ( ~ (v62
% 48.67/12.00 = e22) & ~ (v59 = e22) & ~ (v56 = e22) & ~ (v53 = e22)) | ( ~ (v62
% 48.67/12.00 = e21) & ~ (v59 = e21) & ~ (v56 = e21) & ~ (v53 = e21)) | ( ~ (v62
% 48.67/12.00 = e20) & ~ (v59 = e20) & ~ (v56 = e20) & ~ (v53 = e20))) & ( ~ (v51
% 48.67/12.00 = v50) | ~ (v48 = v47) | ~ (v45 = v44) | ~ (v42 = v41) | ~ (v39 =
% 48.67/12.00 v38) | ~ (v36 = v35) | ~ (v33 = v32) | ~ (v30 = v29) | ~ (v27 = v26)
% 48.67/12.00 | ~ (v24 = v23) | ~ (v21 = v20) | ~ (v18 = v17) | ~ (v15 = v13) | ~
% 48.67/12.00 (v11 = v9) | ~ (v7 = v5) | ~ (v3 = v1) | ( ~ (v14 = e23) & ~ (v10 =
% 48.67/12.00 e23) & ~ (v6 = e23) & ~ (v2 = e23)) | ( ~ (v14 = e22) & ~ (v10 =
% 48.67/12.00 e22) & ~ (v6 = e22) & ~ (v2 = e22)) | ( ~ (v14 = e21) & ~ (v10 =
% 48.67/12.00 e21) & ~ (v6 = e21) & ~ (v2 = e21)) | ( ~ (v14 = e20) & ~ (v10 =
% 48.67/12.00 e20) & ~ (v6 = e20) & ~ (v2 = e20))))
% 48.67/12.00
% 48.67/12.00 (function-axioms)
% 48.67/12.00 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (op2(v3,
% 48.67/12.00 v2) = v1) | ~ (op2(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 48.67/12.00 $i] : ! [v3: $i] : (v1 = v0 | ~ (op1(v3, v2) = v1) | ~ (op1(v3, v2) =
% 48.67/12.00 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h4(v2) =
% 48.67/12.00 v1) | ~ (h4(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 =
% 48.67/12.00 v0 | ~ (h3(v2) = v1) | ~ (h3(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 48.67/12.00 [v2: $i] : (v1 = v0 | ~ (h2(v2) = v1) | ~ (h2(v2) = v0)) & ! [v0: $i] : !
% 48.67/12.00 [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h1(v2) = v1) | ~ (h1(v2) = v0))
% 48.67/12.00
% 48.67/12.00 Further assumptions not needed in the proof:
% 48.67/12.00 --------------------------------------------
% 48.85/12.01 ax9
% 48.85/12.01
% 48.85/12.01 Those formulas are unsatisfiable:
% 48.85/12.01 ---------------------------------
% 48.85/12.01
% 48.85/12.01 Begin of proof
% 48.85/12.03 |
% 48.85/12.03 | ALPHA: (ax1) implies:
% 48.85/12.04 | (1) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 48.85/12.04 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 48.85/12.04 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 48.85/12.04 | ? [v15: $i] : (op1(e13, e13) = v15 & op1(e13, e12) = v14 & op1(e13,
% 48.85/12.04 | e11) = v13 & op1(e13, e10) = v12 & op1(e12, e13) = v11 & op1(e12,
% 48.85/12.04 | e12) = v10 & op1(e12, e11) = v9 & op1(e12, e10) = v8 & op1(e11,
% 48.85/12.04 | e13) = v7 & op1(e11, e12) = v6 & op1(e11, e11) = v5 & op1(e11, e10)
% 48.85/12.04 | = v4 & op1(e10, e13) = v3 & op1(e10, e12) = v2 & op1(e10, e11) = v1 &
% 48.85/12.04 | op1(e10, e10) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11)
% 48.85/12.04 | & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 48.85/12.04 | $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v15 = e13 | v15 = e12 | v15 =
% 48.85/12.04 | e11 | v15 = e10) & (v14 = e13 | v14 = e12 | v14 = e11 | v14 = e10)
% 48.85/12.04 | & (v13 = e13 | v13 = e12 | v13 = e11 | v13 = e10) & (v12 = e13 | v12
% 48.85/12.04 | = e12 | v12 = e11 | v12 = e10) & (v11 = e13 | v11 = e12 | v11 = e11
% 48.85/12.04 | | v11 = e10) & (v10 = e13 | v10 = e12 | v10 = e11 | v10 = e10) &
% 48.85/12.04 | (v9 = e13 | v9 = e12 | v9 = e11 | v9 = e10) & (v8 = e13 | v8 = e12 |
% 48.85/12.04 | v8 = e11 | v8 = e10) & (v7 = e13 | v7 = e12 | v7 = e11 | v7 = e10)
% 48.85/12.04 | & (v6 = e13 | v6 = e12 | v6 = e11 | v6 = e10) & (v5 = e13 | v5 = e12
% 48.85/12.04 | | v5 = e11 | v5 = e10) & (v4 = e13 | v4 = e12 | v4 = e11 | v4 =
% 48.85/12.04 | e10) & (v3 = e13 | v3 = e12 | v3 = e11 | v3 = e10) & (v2 = e13 | v2
% 48.85/12.04 | = e12 | v2 = e11 | v2 = e10) & (v1 = e13 | v1 = e12 | v1 = e11 | v1
% 48.85/12.04 | = e10) & (v0 = e13 | v0 = e12 | v0 = e11 | v0 = e10))
% 48.85/12.04 |
% 48.85/12.04 | ALPHA: (ax2) implies:
% 48.85/12.06 | (2) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 48.85/12.06 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 48.85/12.06 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 48.85/12.06 | ? [v15: $i] : (op1(e13, e13) = v15 & op1(e13, e12) = v14 & op1(e13,
% 48.85/12.06 | e11) = v11 & op1(e13, e10) = v6 & op1(e12, e13) = v13 & op1(e12,
% 48.85/12.06 | e12) = v12 & op1(e12, e11) = v10 & op1(e12, e10) = v5 & op1(e11,
% 48.85/12.06 | e13) = v9 & op1(e11, e12) = v8 & op1(e11, e11) = v7 & op1(e11, e10)
% 48.85/12.06 | = v4 & op1(e10, e13) = v3 & op1(e10, e12) = v2 & op1(e10, e11) = v1 &
% 48.85/12.06 | op1(e10, e10) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11)
% 48.85/12.06 | & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 48.85/12.06 | $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v15 = e13 | v14 = e13 | v11 =
% 48.85/12.06 | e13 | v6 = e13) & (v15 = e13 | v13 = e13 | v9 = e13 | v3 = e13) &
% 48.85/12.06 | (v15 = e12 | v14 = e12 | v11 = e12 | v6 = e12) & (v15 = e12 | v13 =
% 48.85/12.06 | e12 | v9 = e12 | v3 = e12) & (v15 = e11 | v14 = e11 | v11 = e11 |
% 48.85/12.06 | v6 = e11) & (v15 = e11 | v13 = e11 | v9 = e11 | v3 = e11) & (v15 =
% 48.85/12.06 | e10 | v14 = e10 | v11 = e10 | v6 = e10) & (v15 = e10 | v13 = e10 |
% 48.85/12.06 | v9 = e10 | v3 = e10) & (v14 = e13 | v12 = e13 | v8 = e13 | v2 =
% 48.85/12.06 | e13) & (v14 = e12 | v12 = e12 | v8 = e12 | v2 = e12) & (v14 = e11 |
% 48.85/12.06 | v12 = e11 | v8 = e11 | v2 = e11) & (v14 = e10 | v12 = e10 | v8 =
% 48.85/12.06 | e10 | v2 = e10) & (v13 = e13 | v12 = e13 | v10 = e13 | v5 = e13) &
% 48.85/12.06 | (v13 = e12 | v12 = e12 | v10 = e12 | v5 = e12) & (v13 = e11 | v12 =
% 48.85/12.06 | e11 | v10 = e11 | v5 = e11) & (v13 = e10 | v12 = e10 | v10 = e10 |
% 48.85/12.06 | v5 = e10) & (v11 = e13 | v10 = e13 | v7 = e13 | v1 = e13) & (v11 =
% 48.85/12.06 | e12 | v10 = e12 | v7 = e12 | v1 = e12) & (v11 = e11 | v10 = e11 |
% 48.85/12.06 | v7 = e11 | v1 = e11) & (v11 = e10 | v10 = e10 | v7 = e10 | v1 =
% 48.85/12.06 | e10) & (v9 = e13 | v8 = e13 | v7 = e13 | v4 = e13) & (v9 = e12 | v8
% 48.85/12.06 | = e12 | v7 = e12 | v4 = e12) & (v9 = e11 | v8 = e11 | v7 = e11 | v4
% 48.85/12.06 | = e11) & (v9 = e10 | v8 = e10 | v7 = e10 | v4 = e10) & (v6 = e13 |
% 48.85/12.06 | v5 = e13 | v4 = e13 | v0 = e13) & (v6 = e12 | v5 = e12 | v4 = e12 |
% 48.85/12.06 | v0 = e12) & (v6 = e11 | v5 = e11 | v4 = e11 | v0 = e11) & (v3 = e13
% 48.85/12.06 | | v2 = e13 | v1 = e13 | v0 = e13) & (v3 = e12 | v2 = e12 | v1 = e12
% 48.85/12.06 | | v0 = e12) & (v3 = e11 | v2 = e11 | v1 = e11 | v0 = e11) & (v0 =
% 48.85/12.06 | e10 | ((v6 = e10 | v5 = e10 | v4 = e10) & (v3 = e10 | v2 = e10 | v1
% 48.85/12.06 | = e10))))
% 48.85/12.06 |
% 48.85/12.06 | ALPHA: (ax3) implies:
% 49.03/12.06 | (3) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 49.03/12.06 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 49.03/12.06 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 49.03/12.06 | ? [v15: $i] : (op2(e23, e23) = v15 & op2(e23, e22) = v14 & op2(e23,
% 49.03/12.06 | e21) = v13 & op2(e23, e20) = v12 & op2(e22, e23) = v11 & op2(e22,
% 49.03/12.06 | e22) = v10 & op2(e22, e21) = v9 & op2(e22, e20) = v8 & op2(e21,
% 49.03/12.06 | e23) = v7 & op2(e21, e22) = v6 & op2(e21, e21) = v5 & op2(e21, e20)
% 49.03/12.06 | = v4 & op2(e20, e23) = v3 & op2(e20, e22) = v2 & op2(e20, e21) = v1 &
% 49.03/12.06 | op2(e20, e20) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11)
% 49.03/12.06 | & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 49.03/12.06 | $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v15 = e23 | v15 = e22 | v15 =
% 49.03/12.06 | e21 | v15 = e20) & (v14 = e23 | v14 = e22 | v14 = e21 | v14 = e20)
% 49.03/12.06 | & (v13 = e23 | v13 = e22 | v13 = e21 | v13 = e20) & (v12 = e23 | v12
% 49.03/12.06 | = e22 | v12 = e21 | v12 = e20) & (v11 = e23 | v11 = e22 | v11 = e21
% 49.03/12.06 | | v11 = e20) & (v10 = e23 | v10 = e22 | v10 = e21 | v10 = e20) &
% 49.03/12.06 | (v9 = e23 | v9 = e22 | v9 = e21 | v9 = e20) & (v8 = e23 | v8 = e22 |
% 49.03/12.06 | v8 = e21 | v8 = e20) & (v7 = e23 | v7 = e22 | v7 = e21 | v7 = e20)
% 49.03/12.06 | & (v6 = e23 | v6 = e22 | v6 = e21 | v6 = e20) & (v5 = e23 | v5 = e22
% 49.03/12.06 | | v5 = e21 | v5 = e20) & (v4 = e23 | v4 = e22 | v4 = e21 | v4 =
% 49.03/12.06 | e20) & (v3 = e23 | v3 = e22 | v3 = e21 | v3 = e20) & (v2 = e23 | v2
% 49.03/12.06 | = e22 | v2 = e21 | v2 = e20) & (v1 = e23 | v1 = e22 | v1 = e21 | v1
% 49.03/12.07 | = e20) & (v0 = e23 | v0 = e22 | v0 = e21 | v0 = e20))
% 49.03/12.07 |
% 49.03/12.07 | ALPHA: (ax4) implies:
% 49.03/12.07 | (4) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 49.03/12.07 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 49.03/12.07 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 49.03/12.07 | ? [v15: $i] : (op2(e23, e23) = v15 & op2(e23, e22) = v14 & op2(e23,
% 49.03/12.07 | e21) = v11 & op2(e23, e20) = v6 & op2(e22, e23) = v13 & op2(e22,
% 49.03/12.07 | e22) = v12 & op2(e22, e21) = v10 & op2(e22, e20) = v5 & op2(e21,
% 49.03/12.07 | e23) = v9 & op2(e21, e22) = v8 & op2(e21, e21) = v7 & op2(e21, e20)
% 49.03/12.07 | = v4 & op2(e20, e23) = v3 & op2(e20, e22) = v2 & op2(e20, e21) = v1 &
% 49.03/12.07 | op2(e20, e20) = v0 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11)
% 49.03/12.07 | & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 49.03/12.07 | $i(v3) & $i(v2) & $i(v1) & $i(v0) & (v15 = e23 | v14 = e23 | v11 =
% 49.03/12.07 | e23 | v6 = e23) & (v15 = e23 | v13 = e23 | v9 = e23 | v3 = e23) &
% 49.03/12.07 | (v15 = e22 | v14 = e22 | v11 = e22 | v6 = e22) & (v15 = e22 | v13 =
% 49.03/12.07 | e22 | v9 = e22 | v3 = e22) & (v15 = e21 | v14 = e21 | v11 = e21 |
% 49.03/12.07 | v6 = e21) & (v15 = e21 | v13 = e21 | v9 = e21 | v3 = e21) & (v15 =
% 49.03/12.07 | e20 | v14 = e20 | v11 = e20 | v6 = e20) & (v15 = e20 | v13 = e20 |
% 49.03/12.07 | v9 = e20 | v3 = e20) & (v14 = e23 | v12 = e23 | v8 = e23 | v2 =
% 49.03/12.07 | e23) & (v14 = e22 | v12 = e22 | v8 = e22 | v2 = e22) & (v14 = e21 |
% 49.03/12.07 | v12 = e21 | v8 = e21 | v2 = e21) & (v14 = e20 | v12 = e20 | v8 =
% 49.03/12.07 | e20 | v2 = e20) & (v13 = e23 | v12 = e23 | v10 = e23 | v5 = e23) &
% 49.03/12.07 | (v13 = e22 | v12 = e22 | v10 = e22 | v5 = e22) & (v13 = e21 | v12 =
% 49.03/12.07 | e21 | v10 = e21 | v5 = e21) & (v13 = e20 | v12 = e20 | v10 = e20 |
% 49.03/12.08 | v5 = e20) & (v11 = e23 | v10 = e23 | v7 = e23 | v1 = e23) & (v11 =
% 49.03/12.08 | e22 | v10 = e22 | v7 = e22 | v1 = e22) & (v11 = e21 | v10 = e21 |
% 49.03/12.08 | v7 = e21 | v1 = e21) & (v11 = e20 | v10 = e20 | v7 = e20 | v1 =
% 49.03/12.08 | e20) & (v9 = e23 | v8 = e23 | v7 = e23 | v4 = e23) & (v9 = e22 | v8
% 49.03/12.08 | = e22 | v7 = e22 | v4 = e22) & (v9 = e21 | v8 = e21 | v7 = e21 | v4
% 49.03/12.08 | = e21) & (v9 = e20 | v8 = e20 | v7 = e20 | v4 = e20) & (v6 = e23 |
% 49.03/12.08 | v5 = e23 | v4 = e23 | v0 = e23) & (v6 = e22 | v5 = e22 | v4 = e22 |
% 49.03/12.08 | v0 = e22) & (v6 = e21 | v5 = e21 | v4 = e21 | v0 = e21) & (v3 = e23
% 49.03/12.08 | | v2 = e23 | v1 = e23 | v0 = e23) & (v3 = e22 | v2 = e22 | v1 = e22
% 49.03/12.08 | | v0 = e22) & (v3 = e21 | v2 = e21 | v1 = e21 | v0 = e21) & (v0 =
% 49.03/12.08 | e20 | ((v6 = e20 | v5 = e20 | v4 = e20) & (v3 = e20 | v2 = e20 | v1
% 49.03/12.08 | = e20))))
% 49.03/12.08 |
% 49.03/12.08 | ALPHA: (ax5) implies:
% 49.03/12.08 | (5) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 49.03/12.08 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 49.03/12.08 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 49.03/12.08 | ? [v15: $i] : ( ~ (v15 = v14) & ~ (v15 = v13) & ~ (v15 = v12) & ~
% 49.03/12.08 | (v15 = v11) & ~ (v15 = v7) & ~ (v15 = v3) & ~ (v14 = v13) & ~
% 49.03/12.08 | (v14 = v12) & ~ (v14 = v10) & ~ (v14 = v6) & ~ (v14 = v2) & ~
% 49.03/12.08 | (v13 = v12) & ~ (v13 = v9) & ~ (v13 = v5) & ~ (v13 = v1) & ~ (v12
% 49.03/12.08 | = v8) & ~ (v12 = v4) & ~ (v12 = v0) & ~ (v11 = v10) & ~ (v11 =
% 49.03/12.08 | v9) & ~ (v11 = v8) & ~ (v11 = v7) & ~ (v11 = v3) & ~ (v10 = v9)
% 49.03/12.08 | & ~ (v10 = v8) & ~ (v10 = v6) & ~ (v10 = v2) & ~ (v9 = v8) & ~
% 49.03/12.08 | (v9 = v5) & ~ (v9 = v1) & ~ (v8 = v4) & ~ (v8 = v0) & ~ (v7 = v6)
% 49.03/12.08 | & ~ (v7 = v5) & ~ (v7 = v4) & ~ (v7 = v3) & ~ (v6 = v5) & ~ (v6
% 49.03/12.08 | = v4) & ~ (v6 = v2) & ~ (v5 = v4) & ~ (v5 = v1) & ~ (v4 = v0) &
% 49.03/12.08 | ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~ (v2 = v1) & ~ (v2 =
% 49.03/12.08 | v0) & ~ (v1 = v0) & op1(e13, e13) = v15 & op1(e13, e12) = v11 &
% 49.03/12.08 | op1(e13, e11) = v7 & op1(e13, e10) = v3 & op1(e12, e13) = v14 &
% 49.03/12.08 | op1(e12, e12) = v10 & op1(e12, e11) = v6 & op1(e12, e10) = v2 &
% 49.03/12.08 | op1(e11, e13) = v13 & op1(e11, e12) = v9 & op1(e11, e11) = v5 &
% 49.03/12.08 | op1(e11, e10) = v1 & op1(e10, e13) = v12 & op1(e10, e12) = v8 &
% 49.03/12.08 | op1(e10, e11) = v4 & op1(e10, e10) = v0 & $i(v15) & $i(v14) & $i(v13)
% 49.03/12.08 | & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) &
% 49.03/12.08 | $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 49.03/12.08 |
% 49.03/12.08 | ALPHA: (ax6) implies:
% 49.03/12.09 | (6) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 49.03/12.09 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 49.03/12.09 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 49.03/12.09 | ? [v15: $i] : ( ~ (v15 = v14) & ~ (v15 = v13) & ~ (v15 = v12) & ~
% 49.03/12.09 | (v15 = v11) & ~ (v15 = v7) & ~ (v15 = v3) & ~ (v14 = v13) & ~
% 49.03/12.09 | (v14 = v12) & ~ (v14 = v10) & ~ (v14 = v6) & ~ (v14 = v2) & ~
% 49.03/12.09 | (v13 = v12) & ~ (v13 = v9) & ~ (v13 = v5) & ~ (v13 = v1) & ~ (v12
% 49.03/12.09 | = v8) & ~ (v12 = v4) & ~ (v12 = v0) & ~ (v11 = v10) & ~ (v11 =
% 49.03/12.09 | v9) & ~ (v11 = v8) & ~ (v11 = v7) & ~ (v11 = v3) & ~ (v10 = v9)
% 49.03/12.09 | & ~ (v10 = v8) & ~ (v10 = v6) & ~ (v10 = v2) & ~ (v9 = v8) & ~
% 49.03/12.09 | (v9 = v5) & ~ (v9 = v1) & ~ (v8 = v4) & ~ (v8 = v0) & ~ (v7 = v6)
% 49.03/12.09 | & ~ (v7 = v5) & ~ (v7 = v4) & ~ (v7 = v3) & ~ (v6 = v5) & ~ (v6
% 49.03/12.09 | = v4) & ~ (v6 = v2) & ~ (v5 = v4) & ~ (v5 = v1) & ~ (v4 = v0) &
% 49.03/12.09 | ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~ (v2 = v1) & ~ (v2 =
% 49.03/12.09 | v0) & ~ (v1 = v0) & op2(e23, e23) = v15 & op2(e23, e22) = v11 &
% 49.03/12.09 | op2(e23, e21) = v7 & op2(e23, e20) = v3 & op2(e22, e23) = v14 &
% 49.03/12.09 | op2(e22, e22) = v10 & op2(e22, e21) = v6 & op2(e22, e20) = v2 &
% 49.03/12.09 | op2(e21, e23) = v13 & op2(e21, e22) = v9 & op2(e21, e21) = v5 &
% 49.03/12.09 | op2(e21, e20) = v1 & op2(e20, e23) = v12 & op2(e20, e22) = v8 &
% 49.03/12.09 | op2(e20, e21) = v4 & op2(e20, e20) = v0 & $i(v15) & $i(v14) & $i(v13)
% 49.03/12.09 | & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) &
% 49.03/12.09 | $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 49.03/12.09 |
% 49.03/12.09 | ALPHA: (ax7) implies:
% 49.03/12.09 | (7) ~ (e11 = e10)
% 49.03/12.09 | (8) ~ (e12 = e11)
% 49.03/12.09 | (9) ~ (e13 = e10)
% 49.03/12.09 | (10) ~ (e13 = e11)
% 49.03/12.09 |
% 49.03/12.09 | ALPHA: (ax8) implies:
% 49.03/12.09 | (11) ~ (e21 = e20)
% 49.03/12.09 | (12) ~ (e22 = e21)
% 49.03/12.09 | (13) ~ (e23 = e20)
% 49.03/12.09 | (14) ~ (e23 = e21)
% 49.03/12.09 |
% 49.03/12.09 | ALPHA: (ax10) implies:
% 49.03/12.09 | (15) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 49.03/12.09 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 49.03/12.09 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14:
% 49.03/12.09 | $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ?
% 49.03/12.09 | [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i]
% 49.03/12.09 | : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ? [v28:
% 49.03/12.09 | $i] : ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : (op1(v30, v30) =
% 49.03/12.09 | v31 & op1(v28, v28) = v29 & op1(v26, v26) = v27 & op1(v24, v24) =
% 49.03/12.09 | v25 & op1(v22, v22) = v23 & op1(v20, v20) = v21 & op1(v18, v18) =
% 49.03/12.09 | v19 & op1(v16, v16) = v17 & op1(v14, v14) = v15 & op1(v12, v12) =
% 49.03/12.09 | v13 & op1(v10, v10) = v11 & op1(v8, v8) = v9 & op1(v6, v6) = v7 &
% 49.03/12.09 | op1(v4, v4) = v5 & op1(v2, v2) = v3 & op1(v0, v0) = v1 & op1(e13,
% 49.03/12.09 | e13) = v30 & op1(e13, e12) = v22 & op1(e13, e11) = v14 & op1(e13,
% 49.03/12.09 | e10) = v6 & op1(e12, e13) = v28 & op1(e12, e12) = v20 & op1(e12,
% 49.03/12.09 | e11) = v12 & op1(e12, e10) = v4 & op1(e11, e13) = v26 & op1(e11,
% 49.03/12.09 | e12) = v18 & op1(e11, e11) = v10 & op1(e11, e10) = v2 & op1(e10,
% 49.03/12.09 | e13) = v24 & op1(e10, e12) = v16 & op1(e10, e11) = v8 & op1(e10,
% 49.03/12.09 | e10) = v0 & $i(v31) & $i(v30) & $i(v29) & $i(v28) & $i(v27) &
% 49.03/12.09 | $i(v26) & $i(v25) & $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20)
% 49.03/12.09 | & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) &
% 49.03/12.09 | $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) &
% 49.03/12.09 | $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ((v31
% 49.03/12.09 | = e13 & v29 = e12 & v27 = e11 & v25 = e10) | (v23 = e13 & v21 =
% 49.03/12.09 | e12 & v19 = e11 & v17 = e10) | (v15 = e13 & v13 = e12 & v11 =
% 49.03/12.09 | e11 & v9 = e10) | (v7 = e13 & v5 = e12 & v3 = e11 & v1 = e10)))
% 49.03/12.09 |
% 49.03/12.09 | ALPHA: (ax11) implies:
% 49.03/12.10 | (16) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 49.03/12.10 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 49.03/12.10 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14:
% 49.03/12.10 | $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ?
% 49.03/12.10 | [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i]
% 49.03/12.10 | : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ? [v28:
% 49.03/12.10 | $i] : ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : (op2(v30, v30) =
% 49.03/12.10 | v31 & op2(v28, v28) = v29 & op2(v26, v26) = v27 & op2(v24, v24) =
% 49.03/12.10 | v25 & op2(v22, v22) = v23 & op2(v20, v20) = v21 & op2(v18, v18) =
% 49.03/12.10 | v19 & op2(v16, v16) = v17 & op2(v14, v14) = v15 & op2(v12, v12) =
% 49.03/12.10 | v13 & op2(v10, v10) = v11 & op2(v8, v8) = v9 & op2(v6, v6) = v7 &
% 49.03/12.10 | op2(v4, v4) = v5 & op2(v2, v2) = v3 & op2(v0, v0) = v1 & op2(e23,
% 49.03/12.10 | e23) = v30 & op2(e23, e22) = v22 & op2(e23, e21) = v14 & op2(e23,
% 49.03/12.10 | e20) = v6 & op2(e22, e23) = v28 & op2(e22, e22) = v20 & op2(e22,
% 49.03/12.10 | e21) = v12 & op2(e22, e20) = v4 & op2(e21, e23) = v26 & op2(e21,
% 49.03/12.10 | e22) = v18 & op2(e21, e21) = v10 & op2(e21, e20) = v2 & op2(e20,
% 49.03/12.10 | e23) = v24 & op2(e20, e22) = v16 & op2(e20, e21) = v8 & op2(e20,
% 49.03/12.10 | e20) = v0 & $i(v31) & $i(v30) & $i(v29) & $i(v28) & $i(v27) &
% 49.03/12.10 | $i(v26) & $i(v25) & $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20)
% 49.03/12.10 | & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) &
% 49.03/12.10 | $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) &
% 49.03/12.10 | $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ((v31
% 49.03/12.10 | = e23 & v29 = e22 & v27 = e21 & v25 = e20) | (v23 = e23 & v21 =
% 49.03/12.10 | e22 & v19 = e21 & v17 = e20) | (v15 = e23 & v13 = e22 & v11 =
% 49.03/12.10 | e21 & v9 = e20) | (v7 = e23 & v5 = e22 & v3 = e21 & v1 = e20)))
% 49.03/12.10 |
% 49.03/12.10 | ALPHA: (ax12) implies:
% 49.03/12.10 | (17) op1(e11, e10) = e13
% 49.03/12.10 | (18) op1(e11, e11) = e12
% 49.03/12.10 | (19) op1(e12, e11) = e10
% 49.03/12.10 |
% 49.03/12.10 | ALPHA: (ax13) implies:
% 49.03/12.10 | (20) op2(e21, e20) = e23
% 49.03/12.10 | (21) op2(e21, e21) = e22
% 49.03/12.10 | (22) op2(e22, e21) = e20
% 49.03/12.10 |
% 49.03/12.10 | ALPHA: (ax14) implies:
% 49.03/12.10 | (23) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (h1(e13) = v2 & h1(e12) = v1
% 49.03/12.10 | & h1(e11) = e20 & h1(e10) = v0 & op2(v1, e20) = v0 & op2(e20, v0) =
% 49.03/12.10 | v2 & op2(e20, e20) = v1 & $i(v2) & $i(v1) & $i(v0))
% 49.03/12.10 |
% 49.03/12.10 | ALPHA: (ax15) implies:
% 49.03/12.10 | (24) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (h2(e13) = v2 & h2(e12) = v1
% 49.03/12.10 | & h2(e11) = e21 & h2(e10) = v0 & op2(v1, e21) = v0 & op2(e21, v0) =
% 49.03/12.10 | v2 & op2(e21, e21) = v1 & $i(v2) & $i(v1) & $i(v0))
% 49.03/12.10 |
% 49.03/12.10 | ALPHA: (ax16) implies:
% 49.03/12.10 | (25) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (h3(e13) = v2 & h3(e12) = v1
% 49.03/12.10 | & h3(e11) = e22 & h3(e10) = v0 & op2(v1, e22) = v0 & op2(e22, v0) =
% 49.03/12.10 | v2 & op2(e22, e22) = v1 & $i(v2) & $i(v1) & $i(v0))
% 49.03/12.10 |
% 49.03/12.10 | ALPHA: (ax17) implies:
% 49.03/12.11 | (26) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (h4(e13) = v2 & h4(e12) = v1
% 49.03/12.11 | & h4(e11) = e23 & h4(e10) = v0 & op2(v1, e23) = v0 & op2(e23, v0) =
% 49.03/12.11 | v2 & op2(e23, e23) = v1 & $i(v2) & $i(v1) & $i(v0))
% 49.03/12.11 |
% 49.03/12.11 | ALPHA: (co1) implies:
% 49.03/12.13 | (27) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 49.03/12.13 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 49.03/12.13 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14:
% 49.03/12.13 | $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ?
% 49.03/12.13 | [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i]
% 49.03/12.13 | : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ? [v28:
% 49.03/12.13 | $i] : ? [v29: $i] : ? [v30: $i] : ? [v31: $i] : ? [v32: $i] : ?
% 49.03/12.13 | [v33: $i] : ? [v34: $i] : ? [v35: $i] : ? [v36: $i] : ? [v37: $i]
% 49.03/12.13 | : ? [v38: $i] : ? [v39: $i] : ? [v40: $i] : ? [v41: $i] : ? [v42:
% 49.03/12.13 | $i] : ? [v43: $i] : ? [v44: $i] : ? [v45: $i] : ? [v46: $i] : ?
% 49.03/12.13 | [v47: $i] : ? [v48: $i] : ? [v49: $i] : ? [v50: $i] : ? [v51: $i]
% 49.03/12.13 | : ? [v52: $i] : ? [v53: $i] : ? [v54: $i] : ? [v55: $i] : ? [v56:
% 49.03/12.13 | $i] : ? [v57: $i] : ? [v58: $i] : ? [v59: $i] : ? [v60: $i] : ?
% 49.03/12.13 | [v61: $i] : ? [v62: $i] : ? [v63: $i] : ? [v64: $i] : ? [v65: $i]
% 49.03/12.13 | : ? [v66: $i] : ? [v67: $i] : ? [v68: $i] : ? [v69: $i] : ? [v70:
% 49.03/12.13 | $i] : ? [v71: $i] : ? [v72: $i] : ? [v73: $i] : ? [v74: $i] : ?
% 49.03/12.13 | [v75: $i] : ? [v76: $i] : ? [v77: $i] : ? [v78: $i] : ? [v79: $i]
% 49.03/12.13 | : ? [v80: $i] : ? [v81: $i] : ? [v82: $i] : ? [v83: $i] : ? [v84:
% 49.03/12.13 | $i] : ? [v85: $i] : ? [v86: $i] : ? [v87: $i] : ? [v88: $i] : ?
% 49.03/12.13 | [v89: $i] : ? [v90: $i] : ? [v91: $i] : ? [v92: $i] : ? [v93: $i]
% 49.03/12.13 | : ? [v94: $i] : ? [v95: $i] : ? [v96: $i] : ? [v97: $i] : ? [v98:
% 49.03/12.13 | $i] : ? [v99: $i] : ? [v100: $i] : ? [v101: $i] : ? [v102: $i] :
% 49.03/12.13 | ? [v103: $i] : ? [v104: $i] : ? [v105: $i] : ? [v106: $i] : ?
% 49.03/12.13 | [v107: $i] : ? [v108: $i] : ? [v109: $i] : ? [v110: $i] : ? [v111:
% 49.03/12.13 | $i] : ? [v112: $i] : ? [v113: $i] : ? [v114: $i] : ? [v115: $i]
% 49.03/12.13 | : ? [v116: $i] : ? [v117: $i] : ? [v118: $i] : ? [v119: $i] : ?
% 49.03/12.13 | [v120: $i] : ? [v121: $i] : ? [v122: $i] : ? [v123: $i] : ? [v124:
% 49.03/12.13 | $i] : ? [v125: $i] : ? [v126: $i] : ? [v127: $i] : ? [v128: $i]
% 49.03/12.13 | : ? [v129: $i] : ? [v130: $i] : ? [v131: $i] : ? [v132: $i] : ?
% 49.03/12.13 | [v133: $i] : ? [v134: $i] : ? [v135: $i] : ? [v136: $i] : ? [v137:
% 49.03/12.13 | $i] : ? [v138: $i] : ? [v139: $i] : ? [v140: $i] : ? [v141: $i]
% 49.03/12.13 | : ? [v142: $i] : ? [v143: $i] : ? [v144: $i] : ? [v145: $i] : ?
% 49.03/12.13 | [v146: $i] : ? [v147: $i] : ? [v148: $i] : ? [v149: $i] : ? [v150:
% 49.03/12.13 | $i] : ? [v151: $i] : ? [v152: $i] : ? [v153: $i] : ? [v154: $i]
% 49.03/12.13 | : ? [v155: $i] : ? [v156: $i] : ? [v157: $i] : ? [v158: $i] : ?
% 49.03/12.13 | [v159: $i] : (h4(v49) = v158 & h4(v46) = v156 & h4(v43) = v154 &
% 49.03/12.13 | h4(v40) = v152 & h4(v37) = v150 & h4(v34) = v148 & h4(v31) = v146 &
% 49.03/12.13 | h4(v28) = v144 & h4(v25) = v142 & h4(v22) = v140 & h4(v19) = v138 &
% 49.03/12.13 | h4(v16) = v136 & h4(v12) = v133 & h4(v8) = v130 & h4(v4) = v127 &
% 49.03/12.13 | h4(v0) = v124 & h4(e13) = v134 & h4(e12) = v131 & h4(e11) = v128 &
% 49.03/12.13 | h4(e10) = v125 & h3(v49) = v122 & h3(v46) = v120 & h3(v43) = v118 &
% 49.03/12.13 | h3(v40) = v116 & h3(v37) = v114 & h3(v34) = v112 & h3(v31) = v110 &
% 49.03/12.13 | h3(v28) = v108 & h3(v25) = v106 & h3(v22) = v104 & h3(v19) = v102 &
% 49.03/12.13 | h3(v16) = v100 & h3(v12) = v97 & h3(v8) = v94 & h3(v4) = v91 &
% 49.03/12.13 | h3(v0) = v88 & h3(e13) = v98 & h3(e12) = v95 & h3(e11) = v92 &
% 49.03/12.13 | h3(e10) = v89 & h2(v49) = v86 & h2(v46) = v84 & h2(v43) = v82 &
% 49.03/12.13 | h2(v40) = v80 & h2(v37) = v78 & h2(v34) = v76 & h2(v31) = v74 &
% 49.03/12.13 | h2(v28) = v72 & h2(v25) = v70 & h2(v22) = v68 & h2(v19) = v66 &
% 49.03/12.13 | h2(v16) = v64 & h2(v12) = v61 & h2(v8) = v58 & h2(v4) = v55 & h2(v0)
% 49.03/12.13 | = v52 & h2(e13) = v62 & h2(e12) = v59 & h2(e11) = v56 & h2(e10) =
% 49.03/12.13 | v53 & h1(v49) = v50 & h1(v46) = v47 & h1(v43) = v44 & h1(v40) = v41
% 49.03/12.13 | & h1(v37) = v38 & h1(v34) = v35 & h1(v31) = v32 & h1(v28) = v29 &
% 49.03/12.13 | h1(v25) = v26 & h1(v22) = v23 & h1(v19) = v20 & h1(v16) = v17 &
% 49.03/12.13 | h1(v12) = v13 & h1(v8) = v9 & h1(v4) = v5 & h1(v0) = v1 & h1(e13) =
% 49.03/12.13 | v14 & h1(e12) = v10 & h1(e11) = v6 & h1(e10) = v2 & op2(v134, v134)
% 49.03/12.13 | = v159 & op2(v134, v131) = v157 & op2(v134, v128) = v155 & op2(v134,
% 49.03/12.13 | v125) = v153 & op2(v131, v134) = v151 & op2(v131, v131) = v149 &
% 49.03/12.13 | op2(v131, v128) = v147 & op2(v131, v125) = v145 & op2(v128, v134) =
% 49.03/12.13 | v143 & op2(v128, v131) = v141 & op2(v128, v128) = v139 & op2(v128,
% 49.03/12.13 | v125) = v137 & op2(v125, v134) = v135 & op2(v125, v131) = v132 &
% 49.03/12.13 | op2(v125, v128) = v129 & op2(v125, v125) = v126 & op2(v98, v98) =
% 49.03/12.13 | v123 & op2(v98, v95) = v121 & op2(v98, v92) = v119 & op2(v98, v89) =
% 49.03/12.13 | v117 & op2(v95, v98) = v115 & op2(v95, v95) = v113 & op2(v95, v92) =
% 49.03/12.13 | v111 & op2(v95, v89) = v109 & op2(v92, v98) = v107 & op2(v92, v95) =
% 49.03/12.13 | v105 & op2(v92, v92) = v103 & op2(v92, v89) = v101 & op2(v89, v98) =
% 49.03/12.13 | v99 & op2(v89, v95) = v96 & op2(v89, v92) = v93 & op2(v89, v89) =
% 49.03/12.13 | v90 & op2(v62, v62) = v87 & op2(v62, v59) = v85 & op2(v62, v56) =
% 49.03/12.13 | v83 & op2(v62, v53) = v81 & op2(v59, v62) = v79 & op2(v59, v59) =
% 49.03/12.13 | v77 & op2(v59, v56) = v75 & op2(v59, v53) = v73 & op2(v56, v62) =
% 49.03/12.13 | v71 & op2(v56, v59) = v69 & op2(v56, v56) = v67 & op2(v56, v53) =
% 49.03/12.13 | v65 & op2(v53, v62) = v63 & op2(v53, v59) = v60 & op2(v53, v56) =
% 49.03/12.13 | v57 & op2(v53, v53) = v54 & op2(v14, v14) = v51 & op2(v14, v10) =
% 49.03/12.13 | v48 & op2(v14, v6) = v45 & op2(v14, v2) = v42 & op2(v10, v14) = v39
% 49.03/12.13 | & op2(v10, v10) = v36 & op2(v10, v6) = v33 & op2(v10, v2) = v30 &
% 49.03/12.13 | op2(v6, v14) = v27 & op2(v6, v10) = v24 & op2(v6, v6) = v21 &
% 49.03/12.13 | op2(v6, v2) = v18 & op2(v2, v14) = v15 & op2(v2, v10) = v11 &
% 49.03/12.13 | op2(v2, v6) = v7 & op2(v2, v2) = v3 & op1(e13, e13) = v49 & op1(e13,
% 49.03/12.13 | e12) = v46 & op1(e13, e11) = v43 & op1(e13, e10) = v40 & op1(e12,
% 49.03/12.13 | e13) = v37 & op1(e12, e12) = v34 & op1(e12, e11) = v31 & op1(e12,
% 49.03/12.13 | e10) = v28 & op1(e11, e13) = v25 & op1(e11, e12) = v22 & op1(e11,
% 49.03/12.13 | e11) = v19 & op1(e11, e10) = v16 & op1(e10, e13) = v12 & op1(e10,
% 49.03/12.13 | e12) = v8 & op1(e10, e11) = v4 & op1(e10, e10) = v0 & $i(v159) &
% 49.03/12.13 | $i(v158) & $i(v157) & $i(v156) & $i(v155) & $i(v154) & $i(v153) &
% 49.03/12.13 | $i(v152) & $i(v151) & $i(v150) & $i(v149) & $i(v148) & $i(v147) &
% 49.03/12.13 | $i(v146) & $i(v145) & $i(v144) & $i(v143) & $i(v142) & $i(v141) &
% 49.03/12.13 | $i(v140) & $i(v139) & $i(v138) & $i(v137) & $i(v136) & $i(v135) &
% 49.03/12.13 | $i(v134) & $i(v133) & $i(v132) & $i(v131) & $i(v130) & $i(v129) &
% 49.03/12.13 | $i(v128) & $i(v127) & $i(v126) & $i(v125) & $i(v124) & $i(v123) &
% 49.03/12.13 | $i(v122) & $i(v121) & $i(v120) & $i(v119) & $i(v118) & $i(v117) &
% 49.03/12.13 | $i(v116) & $i(v115) & $i(v114) & $i(v113) & $i(v112) & $i(v111) &
% 49.03/12.13 | $i(v110) & $i(v109) & $i(v108) & $i(v107) & $i(v106) & $i(v105) &
% 49.03/12.13 | $i(v104) & $i(v103) & $i(v102) & $i(v101) & $i(v100) & $i(v99) &
% 49.03/12.13 | $i(v98) & $i(v97) & $i(v96) & $i(v95) & $i(v94) & $i(v93) & $i(v92)
% 49.03/12.13 | & $i(v91) & $i(v90) & $i(v89) & $i(v88) & $i(v87) & $i(v86) &
% 49.03/12.13 | $i(v85) & $i(v84) & $i(v83) & $i(v82) & $i(v81) & $i(v80) & $i(v79)
% 49.03/12.13 | & $i(v78) & $i(v77) & $i(v76) & $i(v75) & $i(v74) & $i(v73) &
% 49.03/12.13 | $i(v72) & $i(v71) & $i(v70) & $i(v69) & $i(v68) & $i(v67) & $i(v66)
% 49.03/12.13 | & $i(v65) & $i(v64) & $i(v63) & $i(v62) & $i(v61) & $i(v60) &
% 49.03/12.13 | $i(v59) & $i(v58) & $i(v57) & $i(v56) & $i(v55) & $i(v54) & $i(v53)
% 49.03/12.13 | & $i(v52) & $i(v51) & $i(v50) & $i(v49) & $i(v48) & $i(v47) &
% 49.03/12.13 | $i(v46) & $i(v45) & $i(v44) & $i(v43) & $i(v42) & $i(v41) & $i(v40)
% 49.03/12.13 | & $i(v39) & $i(v38) & $i(v37) & $i(v36) & $i(v35) & $i(v34) &
% 49.03/12.13 | $i(v33) & $i(v32) & $i(v31) & $i(v30) & $i(v29) & $i(v28) & $i(v27)
% 49.03/12.13 | & $i(v26) & $i(v25) & $i(v24) & $i(v23) & $i(v22) & $i(v21) &
% 49.03/12.13 | $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14)
% 49.03/12.13 | & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) &
% 49.03/12.13 | $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ( ~
% 49.03/12.13 | (v159 = v158) | ~ (v157 = v156) | ~ (v155 = v154) | ~ (v153 =
% 49.03/12.13 | v152) | ~ (v151 = v150) | ~ (v149 = v148) | ~ (v147 = v146) |
% 49.03/12.13 | ~ (v145 = v144) | ~ (v143 = v142) | ~ (v141 = v140) | ~ (v139
% 49.03/12.13 | = v138) | ~ (v137 = v136) | ~ (v135 = v133) | ~ (v132 = v130)
% 49.03/12.13 | | ~ (v129 = v127) | ~ (v126 = v124) | ( ~ (v134 = e23) & ~
% 49.03/12.13 | (v131 = e23) & ~ (v128 = e23) & ~ (v125 = e23)) | ( ~ (v134 =
% 49.03/12.13 | e22) & ~ (v131 = e22) & ~ (v128 = e22) & ~ (v125 = e22)) |
% 49.03/12.13 | ( ~ (v134 = e21) & ~ (v131 = e21) & ~ (v128 = e21) & ~ (v125 =
% 49.03/12.13 | e21)) | ( ~ (v134 = e20) & ~ (v131 = e20) & ~ (v128 = e20) &
% 49.03/12.13 | ~ (v125 = e20))) & ( ~ (v123 = v122) | ~ (v121 = v120) | ~
% 49.03/12.13 | (v119 = v118) | ~ (v117 = v116) | ~ (v115 = v114) | ~ (v113 =
% 49.03/12.13 | v112) | ~ (v111 = v110) | ~ (v109 = v108) | ~ (v107 = v106) |
% 49.03/12.13 | ~ (v105 = v104) | ~ (v103 = v102) | ~ (v101 = v100) | ~ (v99 =
% 49.03/12.13 | v97) | ~ (v96 = v94) | ~ (v93 = v91) | ~ (v90 = v88) | ( ~
% 49.03/12.13 | (v98 = e23) & ~ (v95 = e23) & ~ (v92 = e23) & ~ (v89 = e23))
% 49.03/12.13 | | ( ~ (v98 = e22) & ~ (v95 = e22) & ~ (v92 = e22) & ~ (v89 =
% 49.03/12.13 | e22)) | ( ~ (v98 = e21) & ~ (v95 = e21) & ~ (v92 = e21) & ~
% 49.03/12.13 | (v89 = e21)) | ( ~ (v98 = e20) & ~ (v95 = e20) & ~ (v92 = e20)
% 49.03/12.13 | & ~ (v89 = e20))) & ( ~ (v87 = v86) | ~ (v85 = v84) | ~ (v83
% 49.03/12.13 | = v82) | ~ (v81 = v80) | ~ (v79 = v78) | ~ (v77 = v76) | ~
% 49.03/12.13 | (v75 = v74) | ~ (v73 = v72) | ~ (v71 = v70) | ~ (v69 = v68) |
% 49.03/12.13 | ~ (v67 = v66) | ~ (v65 = v64) | ~ (v63 = v61) | ~ (v60 = v58) |
% 49.03/12.13 | ~ (v57 = v55) | ~ (v54 = v52) | ( ~ (v62 = e23) & ~ (v59 = e23)
% 49.03/12.13 | & ~ (v56 = e23) & ~ (v53 = e23)) | ( ~ (v62 = e22) & ~ (v59 =
% 49.03/12.13 | e22) & ~ (v56 = e22) & ~ (v53 = e22)) | ( ~ (v62 = e21) & ~
% 49.03/12.13 | (v59 = e21) & ~ (v56 = e21) & ~ (v53 = e21)) | ( ~ (v62 = e20)
% 49.03/12.13 | & ~ (v59 = e20) & ~ (v56 = e20) & ~ (v53 = e20))) & ( ~ (v51
% 49.03/12.13 | = v50) | ~ (v48 = v47) | ~ (v45 = v44) | ~ (v42 = v41) | ~
% 49.03/12.13 | (v39 = v38) | ~ (v36 = v35) | ~ (v33 = v32) | ~ (v30 = v29) |
% 49.03/12.13 | ~ (v27 = v26) | ~ (v24 = v23) | ~ (v21 = v20) | ~ (v18 = v17) |
% 49.03/12.13 | ~ (v15 = v13) | ~ (v11 = v9) | ~ (v7 = v5) | ~ (v3 = v1) | ( ~
% 49.03/12.13 | (v14 = e23) & ~ (v10 = e23) & ~ (v6 = e23) & ~ (v2 = e23)) |
% 49.03/12.13 | ( ~ (v14 = e22) & ~ (v10 = e22) & ~ (v6 = e22) & ~ (v2 = e22))
% 49.03/12.13 | | ( ~ (v14 = e21) & ~ (v10 = e21) & ~ (v6 = e21) & ~ (v2 =
% 49.03/12.13 | e21)) | ( ~ (v14 = e20) & ~ (v10 = e20) & ~ (v6 = e20) & ~
% 49.03/12.13 | (v2 = e20))))
% 49.03/12.13 |
% 49.03/12.13 | ALPHA: (function-axioms) implies:
% 49.03/12.13 | (28) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h1(v2) = v1)
% 49.03/12.13 | | ~ (h1(v2) = v0))
% 49.03/12.13 | (29) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h2(v2) = v1)
% 49.03/12.13 | | ~ (h2(v2) = v0))
% 49.03/12.13 | (30) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h3(v2) = v1)
% 49.03/12.13 | | ~ (h3(v2) = v0))
% 49.03/12.13 | (31) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h4(v2) = v1)
% 49.03/12.13 | | ~ (h4(v2) = v0))
% 49.03/12.13 | (32) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 49.03/12.13 | (op1(v3, v2) = v1) | ~ (op1(v3, v2) = v0))
% 49.03/12.13 | (33) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 49.03/12.13 | (op2(v3, v2) = v1) | ~ (op2(v3, v2) = v0))
% 49.03/12.13 |
% 49.03/12.13 | DELTA: instantiating (24) with fresh symbols all_4_0, all_4_1, all_4_2 gives:
% 49.03/12.13 | (34) h2(e13) = all_4_0 & h2(e12) = all_4_1 & h2(e11) = e21 & h2(e10) =
% 49.03/12.13 | all_4_2 & op2(all_4_1, e21) = all_4_2 & op2(e21, all_4_2) = all_4_0 &
% 49.03/12.13 | op2(e21, e21) = all_4_1 & $i(all_4_0) & $i(all_4_1) & $i(all_4_2)
% 49.03/12.13 |
% 49.03/12.13 | ALPHA: (34) implies:
% 49.03/12.14 | (35) op2(e21, e21) = all_4_1
% 49.03/12.14 | (36) op2(e21, all_4_2) = all_4_0
% 49.03/12.14 | (37) op2(all_4_1, e21) = all_4_2
% 49.03/12.14 | (38) h2(e10) = all_4_2
% 49.03/12.14 | (39) h2(e11) = e21
% 49.03/12.14 | (40) h2(e12) = all_4_1
% 49.03/12.14 | (41) h2(e13) = all_4_0
% 49.03/12.14 |
% 49.03/12.14 | DELTA: instantiating (25) with fresh symbols all_6_0, all_6_1, all_6_2 gives:
% 49.03/12.14 | (42) h3(e13) = all_6_0 & h3(e12) = all_6_1 & h3(e11) = e22 & h3(e10) =
% 49.03/12.14 | all_6_2 & op2(all_6_1, e22) = all_6_2 & op2(e22, all_6_2) = all_6_0 &
% 49.03/12.14 | op2(e22, e22) = all_6_1 & $i(all_6_0) & $i(all_6_1) & $i(all_6_2)
% 49.03/12.14 |
% 49.03/12.14 | ALPHA: (42) implies:
% 49.03/12.14 | (43) op2(e22, e22) = all_6_1
% 49.03/12.14 | (44) op2(all_6_1, e22) = all_6_2
% 49.03/12.14 | (45) h3(e10) = all_6_2
% 49.03/12.14 | (46) h3(e11) = e22
% 49.03/12.14 | (47) h3(e12) = all_6_1
% 49.03/12.14 |
% 49.03/12.14 | DELTA: instantiating (26) with fresh symbols all_8_0, all_8_1, all_8_2 gives:
% 49.03/12.14 | (48) h4(e13) = all_8_0 & h4(e12) = all_8_1 & h4(e11) = e23 & h4(e10) =
% 49.03/12.14 | all_8_2 & op2(all_8_1, e23) = all_8_2 & op2(e23, all_8_2) = all_8_0 &
% 49.03/12.14 | op2(e23, e23) = all_8_1 & $i(all_8_0) & $i(all_8_1) & $i(all_8_2)
% 49.03/12.14 |
% 49.03/12.14 | ALPHA: (48) implies:
% 49.03/12.14 | (49) op2(e23, e23) = all_8_1
% 49.03/12.14 | (50) op2(e23, all_8_2) = all_8_0
% 49.03/12.14 | (51) op2(all_8_1, e23) = all_8_2
% 49.03/12.14 | (52) h4(e10) = all_8_2
% 49.03/12.14 | (53) h4(e11) = e23
% 49.03/12.14 | (54) h4(e12) = all_8_1
% 49.03/12.14 | (55) h4(e13) = all_8_0
% 49.03/12.14 |
% 49.03/12.14 | DELTA: instantiating (23) with fresh symbols all_10_0, all_10_1, all_10_2
% 49.03/12.14 | gives:
% 49.03/12.14 | (56) h1(e13) = all_10_0 & h1(e12) = all_10_1 & h1(e11) = e20 & h1(e10) =
% 49.03/12.14 | all_10_2 & op2(all_10_1, e20) = all_10_2 & op2(e20, all_10_2) =
% 49.03/12.14 | all_10_0 & op2(e20, e20) = all_10_1 & $i(all_10_0) & $i(all_10_1) &
% 49.03/12.14 | $i(all_10_2)
% 49.03/12.14 |
% 49.03/12.14 | ALPHA: (56) implies:
% 49.03/12.14 | (57) op2(e20, e20) = all_10_1
% 49.03/12.14 | (58) op2(e20, all_10_2) = all_10_0
% 49.03/12.14 | (59) op2(all_10_1, e20) = all_10_2
% 49.03/12.15 | (60) h1(e10) = all_10_2
% 49.03/12.15 | (61) h1(e11) = e20
% 49.03/12.15 | (62) h1(e12) = all_10_1
% 49.03/12.15 | (63) h1(e13) = all_10_0
% 49.03/12.15 |
% 49.03/12.15 | DELTA: instantiating (5) with fresh symbols all_12_0, all_12_1, all_12_2,
% 49.03/12.15 | all_12_3, all_12_4, all_12_5, all_12_6, all_12_7, all_12_8, all_12_9,
% 49.03/12.15 | all_12_10, all_12_11, all_12_12, all_12_13, all_12_14, all_12_15 gives:
% 49.32/12.15 | (64) ~ (all_12_0 = all_12_1) & ~ (all_12_0 = all_12_2) & ~ (all_12_0 =
% 49.32/12.15 | all_12_3) & ~ (all_12_0 = all_12_4) & ~ (all_12_0 = all_12_8) & ~
% 49.32/12.15 | (all_12_0 = all_12_12) & ~ (all_12_1 = all_12_2) & ~ (all_12_1 =
% 49.32/12.15 | all_12_3) & ~ (all_12_1 = all_12_5) & ~ (all_12_1 = all_12_9) & ~
% 49.32/12.15 | (all_12_1 = all_12_13) & ~ (all_12_2 = all_12_3) & ~ (all_12_2 =
% 49.32/12.15 | all_12_6) & ~ (all_12_2 = all_12_10) & ~ (all_12_2 = all_12_14) &
% 49.32/12.15 | ~ (all_12_3 = all_12_7) & ~ (all_12_3 = all_12_11) & ~ (all_12_3 =
% 49.32/12.15 | all_12_15) & ~ (all_12_4 = all_12_5) & ~ (all_12_4 = all_12_6) &
% 49.32/12.15 | ~ (all_12_4 = all_12_7) & ~ (all_12_4 = all_12_8) & ~ (all_12_4 =
% 49.32/12.15 | all_12_12) & ~ (all_12_5 = all_12_6) & ~ (all_12_5 = all_12_7) &
% 49.32/12.15 | ~ (all_12_5 = all_12_9) & ~ (all_12_5 = all_12_13) & ~ (all_12_6 =
% 49.32/12.15 | all_12_7) & ~ (all_12_6 = all_12_10) & ~ (all_12_6 = all_12_14) &
% 49.32/12.15 | ~ (all_12_7 = all_12_11) & ~ (all_12_7 = all_12_15) & ~ (all_12_8 =
% 49.32/12.15 | all_12_9) & ~ (all_12_8 = all_12_10) & ~ (all_12_8 = all_12_11) &
% 49.32/12.15 | ~ (all_12_8 = all_12_12) & ~ (all_12_9 = all_12_10) & ~ (all_12_9 =
% 49.32/12.15 | all_12_11) & ~ (all_12_9 = all_12_13) & ~ (all_12_10 = all_12_11)
% 49.32/12.15 | & ~ (all_12_10 = all_12_14) & ~ (all_12_11 = all_12_15) & ~
% 49.32/12.15 | (all_12_12 = all_12_13) & ~ (all_12_12 = all_12_14) & ~ (all_12_12 =
% 49.32/12.15 | all_12_15) & ~ (all_12_13 = all_12_14) & ~ (all_12_13 = all_12_15)
% 49.32/12.15 | & ~ (all_12_14 = all_12_15) & op1(e13, e13) = all_12_0 & op1(e13,
% 49.32/12.15 | e12) = all_12_4 & op1(e13, e11) = all_12_8 & op1(e13, e10) =
% 49.32/12.15 | all_12_12 & op1(e12, e13) = all_12_1 & op1(e12, e12) = all_12_5 &
% 49.32/12.15 | op1(e12, e11) = all_12_9 & op1(e12, e10) = all_12_13 & op1(e11, e13) =
% 49.32/12.15 | all_12_2 & op1(e11, e12) = all_12_6 & op1(e11, e11) = all_12_10 &
% 49.32/12.15 | op1(e11, e10) = all_12_14 & op1(e10, e13) = all_12_3 & op1(e10, e12) =
% 49.32/12.15 | all_12_7 & op1(e10, e11) = all_12_11 & op1(e10, e10) = all_12_15 &
% 49.32/12.15 | $i(all_12_0) & $i(all_12_1) & $i(all_12_2) & $i(all_12_3) &
% 49.32/12.15 | $i(all_12_4) & $i(all_12_5) & $i(all_12_6) & $i(all_12_7) &
% 49.32/12.15 | $i(all_12_8) & $i(all_12_9) & $i(all_12_10) & $i(all_12_11) &
% 49.32/12.15 | $i(all_12_12) & $i(all_12_13) & $i(all_12_14) & $i(all_12_15)
% 49.32/12.15 |
% 49.32/12.15 | ALPHA: (64) implies:
% 49.32/12.16 | (65) ~ (all_12_14 = all_12_15)
% 49.32/12.16 | (66) ~ (all_12_13 = all_12_15)
% 49.32/12.16 | (67) ~ (all_12_13 = all_12_14)
% 49.32/12.16 | (68) ~ (all_12_12 = all_12_15)
% 49.32/12.16 | (69) ~ (all_12_12 = all_12_14)
% 49.32/12.16 | (70) ~ (all_12_12 = all_12_13)
% 49.32/12.16 | (71) ~ (all_12_11 = all_12_15)
% 49.32/12.16 | (72) ~ (all_12_10 = all_12_11)
% 49.32/12.16 | (73) ~ (all_12_9 = all_12_13)
% 49.32/12.16 | (74) ~ (all_12_9 = all_12_11)
% 49.32/12.16 | (75) ~ (all_12_9 = all_12_10)
% 49.32/12.16 | (76) ~ (all_12_8 = all_12_12)
% 49.32/12.16 | (77) ~ (all_12_8 = all_12_11)
% 49.32/12.16 | (78) ~ (all_12_8 = all_12_10)
% 49.32/12.16 | (79) ~ (all_12_8 = all_12_9)
% 49.32/12.16 | (80) ~ (all_12_7 = all_12_15)
% 49.32/12.16 | (81) ~ (all_12_7 = all_12_11)
% 49.32/12.16 | (82) ~ (all_12_6 = all_12_14)
% 49.32/12.16 | (83) ~ (all_12_6 = all_12_10)
% 49.32/12.16 | (84) ~ (all_12_6 = all_12_7)
% 49.32/12.16 | (85) ~ (all_12_5 = all_12_13)
% 49.32/12.16 | (86) ~ (all_12_5 = all_12_9)
% 49.32/12.16 | (87) ~ (all_12_5 = all_12_7)
% 49.32/12.16 | (88) ~ (all_12_5 = all_12_6)
% 49.32/12.16 | (89) ~ (all_12_4 = all_12_12)
% 49.32/12.16 | (90) ~ (all_12_4 = all_12_8)
% 49.32/12.16 | (91) ~ (all_12_4 = all_12_7)
% 49.32/12.16 | (92) ~ (all_12_4 = all_12_6)
% 49.32/12.16 | (93) ~ (all_12_4 = all_12_5)
% 49.32/12.16 | (94) ~ (all_12_3 = all_12_15)
% 49.32/12.16 | (95) ~ (all_12_3 = all_12_11)
% 49.32/12.16 | (96) ~ (all_12_3 = all_12_7)
% 49.32/12.16 | (97) ~ (all_12_2 = all_12_14)
% 49.32/12.16 | (98) ~ (all_12_2 = all_12_10)
% 49.32/12.16 | (99) ~ (all_12_2 = all_12_6)
% 49.32/12.16 | (100) ~ (all_12_2 = all_12_3)
% 49.32/12.17 | (101) ~ (all_12_1 = all_12_13)
% 49.32/12.17 | (102) ~ (all_12_1 = all_12_9)
% 49.32/12.17 | (103) ~ (all_12_1 = all_12_5)
% 49.32/12.17 | (104) ~ (all_12_1 = all_12_3)
% 49.32/12.17 | (105) ~ (all_12_1 = all_12_2)
% 49.32/12.17 | (106) ~ (all_12_0 = all_12_12)
% 49.32/12.17 | (107) ~ (all_12_0 = all_12_3)
% 49.32/12.17 | (108) ~ (all_12_0 = all_12_2)
% 49.32/12.17 | (109) ~ (all_12_0 = all_12_1)
% 49.32/12.17 | (110) op1(e10, e10) = all_12_15
% 49.32/12.17 | (111) op1(e10, e11) = all_12_11
% 49.32/12.17 | (112) op1(e10, e12) = all_12_7
% 49.32/12.17 | (113) op1(e10, e13) = all_12_3
% 49.32/12.17 | (114) op1(e11, e10) = all_12_14
% 49.32/12.17 | (115) op1(e11, e11) = all_12_10
% 49.32/12.17 | (116) op1(e11, e12) = all_12_6
% 49.32/12.17 | (117) op1(e11, e13) = all_12_2
% 49.32/12.17 | (118) op1(e12, e10) = all_12_13
% 49.32/12.17 | (119) op1(e12, e11) = all_12_9
% 49.32/12.17 | (120) op1(e12, e12) = all_12_5
% 49.32/12.17 | (121) op1(e12, e13) = all_12_1
% 49.32/12.17 | (122) op1(e13, e10) = all_12_12
% 49.32/12.17 | (123) op1(e13, e11) = all_12_8
% 49.32/12.17 | (124) op1(e13, e12) = all_12_4
% 49.32/12.17 | (125) op1(e13, e13) = all_12_0
% 49.32/12.17 |
% 49.32/12.17 | DELTA: instantiating (6) with fresh symbols all_14_0, all_14_1, all_14_2,
% 49.32/12.17 | all_14_3, all_14_4, all_14_5, all_14_6, all_14_7, all_14_8, all_14_9,
% 49.32/12.17 | all_14_10, all_14_11, all_14_12, all_14_13, all_14_14, all_14_15 gives:
% 49.32/12.17 | (126) ~ (all_14_0 = all_14_1) & ~ (all_14_0 = all_14_2) & ~ (all_14_0 =
% 49.32/12.17 | all_14_3) & ~ (all_14_0 = all_14_4) & ~ (all_14_0 = all_14_8) &
% 49.32/12.17 | ~ (all_14_0 = all_14_12) & ~ (all_14_1 = all_14_2) & ~ (all_14_1 =
% 49.32/12.17 | all_14_3) & ~ (all_14_1 = all_14_5) & ~ (all_14_1 = all_14_9) &
% 49.32/12.17 | ~ (all_14_1 = all_14_13) & ~ (all_14_2 = all_14_3) & ~ (all_14_2 =
% 49.32/12.17 | all_14_6) & ~ (all_14_2 = all_14_10) & ~ (all_14_2 = all_14_14) &
% 49.32/12.17 | ~ (all_14_3 = all_14_7) & ~ (all_14_3 = all_14_11) & ~ (all_14_3 =
% 49.32/12.17 | all_14_15) & ~ (all_14_4 = all_14_5) & ~ (all_14_4 = all_14_6) &
% 49.32/12.17 | ~ (all_14_4 = all_14_7) & ~ (all_14_4 = all_14_8) & ~ (all_14_4 =
% 49.32/12.17 | all_14_12) & ~ (all_14_5 = all_14_6) & ~ (all_14_5 = all_14_7) &
% 49.32/12.17 | ~ (all_14_5 = all_14_9) & ~ (all_14_5 = all_14_13) & ~ (all_14_6 =
% 49.32/12.17 | all_14_7) & ~ (all_14_6 = all_14_10) & ~ (all_14_6 = all_14_14) &
% 49.32/12.17 | ~ (all_14_7 = all_14_11) & ~ (all_14_7 = all_14_15) & ~ (all_14_8
% 49.32/12.17 | = all_14_9) & ~ (all_14_8 = all_14_10) & ~ (all_14_8 = all_14_11)
% 49.32/12.17 | & ~ (all_14_8 = all_14_12) & ~ (all_14_9 = all_14_10) & ~
% 49.32/12.17 | (all_14_9 = all_14_11) & ~ (all_14_9 = all_14_13) & ~ (all_14_10 =
% 49.32/12.17 | all_14_11) & ~ (all_14_10 = all_14_14) & ~ (all_14_11 =
% 49.32/12.17 | all_14_15) & ~ (all_14_12 = all_14_13) & ~ (all_14_12 =
% 49.32/12.17 | all_14_14) & ~ (all_14_12 = all_14_15) & ~ (all_14_13 =
% 49.32/12.17 | all_14_14) & ~ (all_14_13 = all_14_15) & ~ (all_14_14 =
% 49.32/12.17 | all_14_15) & op2(e23, e23) = all_14_0 & op2(e23, e22) = all_14_4 &
% 49.32/12.17 | op2(e23, e21) = all_14_8 & op2(e23, e20) = all_14_12 & op2(e22, e23)
% 49.32/12.17 | = all_14_1 & op2(e22, e22) = all_14_5 & op2(e22, e21) = all_14_9 &
% 49.32/12.17 | op2(e22, e20) = all_14_13 & op2(e21, e23) = all_14_2 & op2(e21, e22)
% 49.32/12.17 | = all_14_6 & op2(e21, e21) = all_14_10 & op2(e21, e20) = all_14_14 &
% 49.32/12.17 | op2(e20, e23) = all_14_3 & op2(e20, e22) = all_14_7 & op2(e20, e21) =
% 49.32/12.17 | all_14_11 & op2(e20, e20) = all_14_15 & $i(all_14_0) & $i(all_14_1) &
% 49.32/12.17 | $i(all_14_2) & $i(all_14_3) & $i(all_14_4) & $i(all_14_5) &
% 49.32/12.17 | $i(all_14_6) & $i(all_14_7) & $i(all_14_8) & $i(all_14_9) &
% 49.32/12.17 | $i(all_14_10) & $i(all_14_11) & $i(all_14_12) & $i(all_14_13) &
% 49.32/12.17 | $i(all_14_14) & $i(all_14_15)
% 49.32/12.17 |
% 49.32/12.17 | ALPHA: (126) implies:
% 49.32/12.18 | (127) ~ (all_14_14 = all_14_15)
% 49.32/12.18 | (128) ~ (all_14_13 = all_14_15)
% 49.32/12.18 | (129) ~ (all_14_13 = all_14_14)
% 49.32/12.18 | (130) ~ (all_14_12 = all_14_15)
% 49.32/12.18 | (131) ~ (all_14_12 = all_14_14)
% 49.32/12.18 | (132) ~ (all_14_12 = all_14_13)
% 49.32/12.18 | (133) ~ (all_14_11 = all_14_15)
% 49.32/12.18 | (134) ~ (all_14_10 = all_14_11)
% 49.32/12.18 | (135) ~ (all_14_9 = all_14_13)
% 49.32/12.18 | (136) ~ (all_14_9 = all_14_11)
% 49.32/12.18 | (137) ~ (all_14_9 = all_14_10)
% 49.32/12.18 | (138) ~ (all_14_8 = all_14_12)
% 49.32/12.18 | (139) ~ (all_14_8 = all_14_11)
% 49.32/12.18 | (140) ~ (all_14_8 = all_14_10)
% 49.32/12.18 | (141) ~ (all_14_8 = all_14_9)
% 49.32/12.18 | (142) ~ (all_14_7 = all_14_15)
% 49.32/12.18 | (143) ~ (all_14_7 = all_14_11)
% 49.32/12.18 | (144) ~ (all_14_6 = all_14_14)
% 49.32/12.18 | (145) ~ (all_14_6 = all_14_10)
% 49.42/12.18 | (146) ~ (all_14_6 = all_14_7)
% 49.42/12.18 | (147) ~ (all_14_5 = all_14_13)
% 49.42/12.18 | (148) ~ (all_14_5 = all_14_9)
% 49.42/12.18 | (149) ~ (all_14_5 = all_14_7)
% 49.42/12.18 | (150) ~ (all_14_5 = all_14_6)
% 49.42/12.18 | (151) ~ (all_14_4 = all_14_12)
% 49.42/12.18 | (152) ~ (all_14_4 = all_14_8)
% 49.42/12.18 | (153) ~ (all_14_4 = all_14_7)
% 49.42/12.18 | (154) ~ (all_14_4 = all_14_6)
% 49.42/12.18 | (155) ~ (all_14_4 = all_14_5)
% 49.42/12.18 | (156) ~ (all_14_3 = all_14_15)
% 49.42/12.18 | (157) ~ (all_14_3 = all_14_11)
% 49.42/12.18 | (158) ~ (all_14_3 = all_14_7)
% 49.42/12.18 | (159) ~ (all_14_2 = all_14_14)
% 49.42/12.18 | (160) ~ (all_14_2 = all_14_10)
% 49.42/12.18 | (161) ~ (all_14_2 = all_14_6)
% 49.42/12.18 | (162) ~ (all_14_2 = all_14_3)
% 49.42/12.18 | (163) ~ (all_14_1 = all_14_13)
% 49.42/12.18 | (164) ~ (all_14_1 = all_14_9)
% 49.42/12.18 | (165) ~ (all_14_1 = all_14_5)
% 49.42/12.18 | (166) ~ (all_14_1 = all_14_3)
% 49.42/12.18 | (167) ~ (all_14_1 = all_14_2)
% 49.42/12.18 | (168) ~ (all_14_0 = all_14_12)
% 49.42/12.18 | (169) ~ (all_14_0 = all_14_8)
% 49.42/12.18 | (170) ~ (all_14_0 = all_14_4)
% 49.42/12.18 | (171) ~ (all_14_0 = all_14_3)
% 49.42/12.18 | (172) ~ (all_14_0 = all_14_2)
% 49.42/12.19 | (173) ~ (all_14_0 = all_14_1)
% 49.42/12.19 | (174) op2(e20, e20) = all_14_15
% 49.42/12.19 | (175) op2(e20, e21) = all_14_11
% 49.42/12.19 | (176) op2(e20, e22) = all_14_7
% 49.42/12.19 | (177) op2(e20, e23) = all_14_3
% 49.42/12.19 | (178) op2(e21, e20) = all_14_14
% 49.42/12.19 | (179) op2(e21, e21) = all_14_10
% 49.42/12.19 | (180) op2(e21, e22) = all_14_6
% 49.42/12.19 | (181) op2(e21, e23) = all_14_2
% 49.42/12.19 | (182) op2(e22, e20) = all_14_13
% 49.42/12.19 | (183) op2(e22, e21) = all_14_9
% 49.42/12.19 | (184) op2(e22, e22) = all_14_5
% 49.42/12.19 | (185) op2(e22, e23) = all_14_1
% 49.42/12.19 | (186) op2(e23, e20) = all_14_12
% 49.42/12.19 | (187) op2(e23, e21) = all_14_8
% 49.42/12.19 | (188) op2(e23, e22) = all_14_4
% 49.42/12.19 | (189) op2(e23, e23) = all_14_0
% 49.42/12.19 |
% 49.42/12.19 | DELTA: instantiating (15) with fresh symbols all_16_0, all_16_1, all_16_2,
% 49.42/12.19 | all_16_3, all_16_4, all_16_5, all_16_6, all_16_7, all_16_8, all_16_9,
% 49.42/12.19 | all_16_10, all_16_11, all_16_12, all_16_13, all_16_14, all_16_15,
% 49.42/12.19 | all_16_16, all_16_17, all_16_18, all_16_19, all_16_20, all_16_21,
% 49.42/12.19 | all_16_22, all_16_23, all_16_24, all_16_25, all_16_26, all_16_27,
% 49.42/12.19 | all_16_28, all_16_29, all_16_30, all_16_31 gives:
% 49.42/12.19 | (190) op1(all_16_1, all_16_1) = all_16_0 & op1(all_16_3, all_16_3) =
% 49.42/12.19 | all_16_2 & op1(all_16_5, all_16_5) = all_16_4 & op1(all_16_7,
% 49.42/12.19 | all_16_7) = all_16_6 & op1(all_16_9, all_16_9) = all_16_8 &
% 49.42/12.19 | op1(all_16_11, all_16_11) = all_16_10 & op1(all_16_13, all_16_13) =
% 49.42/12.19 | all_16_12 & op1(all_16_15, all_16_15) = all_16_14 & op1(all_16_17,
% 49.42/12.19 | all_16_17) = all_16_16 & op1(all_16_19, all_16_19) = all_16_18 &
% 49.42/12.19 | op1(all_16_21, all_16_21) = all_16_20 & op1(all_16_23, all_16_23) =
% 49.42/12.19 | all_16_22 & op1(all_16_25, all_16_25) = all_16_24 & op1(all_16_27,
% 49.42/12.19 | all_16_27) = all_16_26 & op1(all_16_29, all_16_29) = all_16_28 &
% 49.42/12.19 | op1(all_16_31, all_16_31) = all_16_30 & op1(e13, e13) = all_16_1 &
% 49.42/12.19 | op1(e13, e12) = all_16_9 & op1(e13, e11) = all_16_17 & op1(e13, e10)
% 49.42/12.19 | = all_16_25 & op1(e12, e13) = all_16_3 & op1(e12, e12) = all_16_11 &
% 49.42/12.19 | op1(e12, e11) = all_16_19 & op1(e12, e10) = all_16_27 & op1(e11, e13)
% 49.42/12.19 | = all_16_5 & op1(e11, e12) = all_16_13 & op1(e11, e11) = all_16_21 &
% 49.42/12.19 | op1(e11, e10) = all_16_29 & op1(e10, e13) = all_16_7 & op1(e10, e12)
% 49.42/12.19 | = all_16_15 & op1(e10, e11) = all_16_23 & op1(e10, e10) = all_16_31 &
% 49.42/12.19 | $i(all_16_0) & $i(all_16_1) & $i(all_16_2) & $i(all_16_3) &
% 49.42/12.19 | $i(all_16_4) & $i(all_16_5) & $i(all_16_6) & $i(all_16_7) &
% 49.42/12.19 | $i(all_16_8) & $i(all_16_9) & $i(all_16_10) & $i(all_16_11) &
% 49.42/12.19 | $i(all_16_12) & $i(all_16_13) & $i(all_16_14) & $i(all_16_15) &
% 49.42/12.19 | $i(all_16_16) & $i(all_16_17) & $i(all_16_18) & $i(all_16_19) &
% 49.42/12.19 | $i(all_16_20) & $i(all_16_21) & $i(all_16_22) & $i(all_16_23) &
% 49.42/12.19 | $i(all_16_24) & $i(all_16_25) & $i(all_16_26) & $i(all_16_27) &
% 49.42/12.19 | $i(all_16_28) & $i(all_16_29) & $i(all_16_30) & $i(all_16_31) &
% 49.42/12.19 | ((all_16_0 = e13 & all_16_2 = e12 & all_16_4 = e11 & all_16_6 = e10)
% 49.42/12.19 | | (all_16_8 = e13 & all_16_10 = e12 & all_16_12 = e11 & all_16_14 =
% 49.42/12.19 | e10) | (all_16_16 = e13 & all_16_18 = e12 & all_16_20 = e11 &
% 49.42/12.19 | all_16_22 = e10) | (all_16_24 = e13 & all_16_26 = e12 & all_16_28
% 49.42/12.19 | = e11 & all_16_30 = e10))
% 49.42/12.19 |
% 49.42/12.19 | ALPHA: (190) implies:
% 49.42/12.19 | (191) op1(e10, e10) = all_16_31
% 49.42/12.19 | (192) op1(e10, e12) = all_16_15
% 49.42/12.19 | (193) op1(e10, e13) = all_16_7
% 49.42/12.20 | (194) op1(e11, e10) = all_16_29
% 49.42/12.20 | (195) op1(e11, e11) = all_16_21
% 49.42/12.20 | (196) op1(e11, e12) = all_16_13
% 49.42/12.20 | (197) op1(e11, e13) = all_16_5
% 49.42/12.20 | (198) op1(e12, e10) = all_16_27
% 49.42/12.20 | (199) op1(e12, e11) = all_16_19
% 49.42/12.20 | (200) op1(e12, e12) = all_16_11
% 49.42/12.20 | (201) op1(e12, e13) = all_16_3
% 49.42/12.20 | (202) op1(e13, e10) = all_16_25
% 49.42/12.20 | (203) op1(e13, e12) = all_16_9
% 49.42/12.20 | (204) op1(e13, e13) = all_16_1
% 49.42/12.20 | (205) op1(all_16_31, all_16_31) = all_16_30
% 49.42/12.20 | (206) op1(all_16_29, all_16_29) = all_16_28
% 49.42/12.20 | (207) op1(all_16_27, all_16_27) = all_16_26
% 49.42/12.20 | (208) op1(all_16_25, all_16_25) = all_16_24
% 49.42/12.20 | (209) op1(all_16_21, all_16_21) = all_16_20
% 49.42/12.20 | (210) op1(all_16_19, all_16_19) = all_16_18
% 49.42/12.20 | (211) op1(all_16_15, all_16_15) = all_16_14
% 49.42/12.20 | (212) op1(all_16_13, all_16_13) = all_16_12
% 49.42/12.20 | (213) op1(all_16_11, all_16_11) = all_16_10
% 49.42/12.20 | (214) op1(all_16_9, all_16_9) = all_16_8
% 49.42/12.20 | (215) op1(all_16_7, all_16_7) = all_16_6
% 49.42/12.20 | (216) op1(all_16_5, all_16_5) = all_16_4
% 49.42/12.20 | (217) op1(all_16_3, all_16_3) = all_16_2
% 49.42/12.20 | (218) op1(all_16_1, all_16_1) = all_16_0
% 49.42/12.20 | (219) (all_16_0 = e13 & all_16_2 = e12 & all_16_4 = e11 & all_16_6 = e10) |
% 49.42/12.20 | (all_16_8 = e13 & all_16_10 = e12 & all_16_12 = e11 & all_16_14 =
% 49.42/12.20 | e10) | (all_16_16 = e13 & all_16_18 = e12 & all_16_20 = e11 &
% 49.42/12.20 | all_16_22 = e10) | (all_16_24 = e13 & all_16_26 = e12 & all_16_28 =
% 49.42/12.20 | e11 & all_16_30 = e10)
% 49.42/12.20 |
% 49.42/12.20 | DELTA: instantiating (16) with fresh symbols all_18_0, all_18_1, all_18_2,
% 49.42/12.20 | all_18_3, all_18_4, all_18_5, all_18_6, all_18_7, all_18_8, all_18_9,
% 49.42/12.20 | all_18_10, all_18_11, all_18_12, all_18_13, all_18_14, all_18_15,
% 49.42/12.20 | all_18_16, all_18_17, all_18_18, all_18_19, all_18_20, all_18_21,
% 49.42/12.20 | all_18_22, all_18_23, all_18_24, all_18_25, all_18_26, all_18_27,
% 49.42/12.20 | all_18_28, all_18_29, all_18_30, all_18_31 gives:
% 49.42/12.20 | (220) op2(all_18_1, all_18_1) = all_18_0 & op2(all_18_3, all_18_3) =
% 49.42/12.20 | all_18_2 & op2(all_18_5, all_18_5) = all_18_4 & op2(all_18_7,
% 49.42/12.20 | all_18_7) = all_18_6 & op2(all_18_9, all_18_9) = all_18_8 &
% 49.42/12.20 | op2(all_18_11, all_18_11) = all_18_10 & op2(all_18_13, all_18_13) =
% 49.42/12.20 | all_18_12 & op2(all_18_15, all_18_15) = all_18_14 & op2(all_18_17,
% 49.42/12.20 | all_18_17) = all_18_16 & op2(all_18_19, all_18_19) = all_18_18 &
% 49.42/12.20 | op2(all_18_21, all_18_21) = all_18_20 & op2(all_18_23, all_18_23) =
% 49.42/12.20 | all_18_22 & op2(all_18_25, all_18_25) = all_18_24 & op2(all_18_27,
% 49.42/12.20 | all_18_27) = all_18_26 & op2(all_18_29, all_18_29) = all_18_28 &
% 49.42/12.20 | op2(all_18_31, all_18_31) = all_18_30 & op2(e23, e23) = all_18_1 &
% 49.42/12.21 | op2(e23, e22) = all_18_9 & op2(e23, e21) = all_18_17 & op2(e23, e20)
% 49.42/12.21 | = all_18_25 & op2(e22, e23) = all_18_3 & op2(e22, e22) = all_18_11 &
% 49.42/12.21 | op2(e22, e21) = all_18_19 & op2(e22, e20) = all_18_27 & op2(e21, e23)
% 49.42/12.21 | = all_18_5 & op2(e21, e22) = all_18_13 & op2(e21, e21) = all_18_21 &
% 49.42/12.21 | op2(e21, e20) = all_18_29 & op2(e20, e23) = all_18_7 & op2(e20, e22)
% 49.42/12.21 | = all_18_15 & op2(e20, e21) = all_18_23 & op2(e20, e20) = all_18_31 &
% 49.42/12.21 | $i(all_18_0) & $i(all_18_1) & $i(all_18_2) & $i(all_18_3) &
% 49.42/12.21 | $i(all_18_4) & $i(all_18_5) & $i(all_18_6) & $i(all_18_7) &
% 49.42/12.21 | $i(all_18_8) & $i(all_18_9) & $i(all_18_10) & $i(all_18_11) &
% 49.42/12.21 | $i(all_18_12) & $i(all_18_13) & $i(all_18_14) & $i(all_18_15) &
% 49.42/12.21 | $i(all_18_16) & $i(all_18_17) & $i(all_18_18) & $i(all_18_19) &
% 49.42/12.21 | $i(all_18_20) & $i(all_18_21) & $i(all_18_22) & $i(all_18_23) &
% 49.42/12.21 | $i(all_18_24) & $i(all_18_25) & $i(all_18_26) & $i(all_18_27) &
% 49.42/12.21 | $i(all_18_28) & $i(all_18_29) & $i(all_18_30) & $i(all_18_31) &
% 49.42/12.21 | ((all_18_0 = e23 & all_18_2 = e22 & all_18_4 = e21 & all_18_6 = e20)
% 49.42/12.21 | | (all_18_8 = e23 & all_18_10 = e22 & all_18_12 = e21 & all_18_14 =
% 49.42/12.21 | e20) | (all_18_16 = e23 & all_18_18 = e22 & all_18_20 = e21 &
% 49.42/12.21 | all_18_22 = e20) | (all_18_24 = e23 & all_18_26 = e22 & all_18_28
% 49.42/12.21 | = e21 & all_18_30 = e20))
% 49.42/12.21 |
% 49.42/12.21 | ALPHA: (220) implies:
% 49.42/12.21 | (221) op2(e20, e20) = all_18_31
% 49.42/12.21 | (222) op2(e20, e21) = all_18_23
% 49.42/12.21 | (223) op2(e20, e22) = all_18_15
% 49.42/12.21 | (224) op2(e20, e23) = all_18_7
% 49.42/12.21 | (225) op2(e21, e20) = all_18_29
% 49.42/12.21 | (226) op2(e21, e21) = all_18_21
% 49.42/12.21 | (227) op2(e21, e22) = all_18_13
% 49.42/12.21 | (228) op2(e21, e23) = all_18_5
% 49.42/12.21 | (229) op2(e22, e20) = all_18_27
% 49.42/12.21 | (230) op2(e22, e21) = all_18_19
% 49.42/12.21 | (231) op2(e22, e22) = all_18_11
% 49.42/12.21 | (232) op2(e22, e23) = all_18_3
% 49.42/12.21 | (233) op2(e23, e20) = all_18_25
% 49.42/12.21 | (234) op2(e23, e21) = all_18_17
% 49.42/12.21 | (235) op2(e23, e22) = all_18_9
% 49.42/12.21 | (236) op2(e23, e23) = all_18_1
% 49.42/12.21 | (237) op2(all_18_31, all_18_31) = all_18_30
% 49.42/12.21 | (238) op2(all_18_29, all_18_29) = all_18_28
% 49.42/12.21 | (239) op2(all_18_27, all_18_27) = all_18_26
% 49.42/12.21 | (240) op2(all_18_25, all_18_25) = all_18_24
% 49.42/12.21 | (241) op2(all_18_23, all_18_23) = all_18_22
% 49.42/12.21 | (242) op2(all_18_21, all_18_21) = all_18_20
% 49.42/12.21 | (243) op2(all_18_19, all_18_19) = all_18_18
% 49.42/12.21 | (244) op2(all_18_17, all_18_17) = all_18_16
% 49.42/12.21 | (245) op2(all_18_15, all_18_15) = all_18_14
% 49.42/12.21 | (246) op2(all_18_13, all_18_13) = all_18_12
% 49.42/12.21 | (247) op2(all_18_11, all_18_11) = all_18_10
% 49.42/12.21 | (248) op2(all_18_9, all_18_9) = all_18_8
% 49.42/12.21 | (249) op2(all_18_7, all_18_7) = all_18_6
% 49.42/12.21 | (250) op2(all_18_5, all_18_5) = all_18_4
% 49.42/12.21 | (251) op2(all_18_3, all_18_3) = all_18_2
% 49.42/12.21 | (252) op2(all_18_1, all_18_1) = all_18_0
% 49.42/12.21 | (253) (all_18_0 = e23 & all_18_2 = e22 & all_18_4 = e21 & all_18_6 = e20) |
% 49.42/12.21 | (all_18_8 = e23 & all_18_10 = e22 & all_18_12 = e21 & all_18_14 =
% 49.42/12.21 | e20) | (all_18_16 = e23 & all_18_18 = e22 & all_18_20 = e21 &
% 49.42/12.21 | all_18_22 = e20) | (all_18_24 = e23 & all_18_26 = e22 & all_18_28 =
% 49.42/12.21 | e21 & all_18_30 = e20)
% 49.42/12.21 |
% 49.42/12.21 | DELTA: instantiating (1) with fresh symbols all_20_0, all_20_1, all_20_2,
% 49.42/12.21 | all_20_3, all_20_4, all_20_5, all_20_6, all_20_7, all_20_8, all_20_9,
% 49.42/12.21 | all_20_10, all_20_11, all_20_12, all_20_13, all_20_14, all_20_15 gives:
% 49.42/12.22 | (254) op1(e13, e13) = all_20_0 & op1(e13, e12) = all_20_1 & op1(e13, e11) =
% 49.42/12.22 | all_20_2 & op1(e13, e10) = all_20_3 & op1(e12, e13) = all_20_4 &
% 49.42/12.22 | op1(e12, e12) = all_20_5 & op1(e12, e11) = all_20_6 & op1(e12, e10) =
% 49.42/12.22 | all_20_7 & op1(e11, e13) = all_20_8 & op1(e11, e12) = all_20_9 &
% 49.42/12.22 | op1(e11, e11) = all_20_10 & op1(e11, e10) = all_20_11 & op1(e10, e13)
% 49.42/12.22 | = all_20_12 & op1(e10, e12) = all_20_13 & op1(e10, e11) = all_20_14 &
% 49.42/12.22 | op1(e10, e10) = all_20_15 & $i(all_20_0) & $i(all_20_1) &
% 49.42/12.22 | $i(all_20_2) & $i(all_20_3) & $i(all_20_4) & $i(all_20_5) &
% 49.42/12.22 | $i(all_20_6) & $i(all_20_7) & $i(all_20_8) & $i(all_20_9) &
% 49.42/12.22 | $i(all_20_10) & $i(all_20_11) & $i(all_20_12) & $i(all_20_13) &
% 49.42/12.22 | $i(all_20_14) & $i(all_20_15) & (all_20_0 = e13 | all_20_0 = e12 |
% 49.42/12.22 | all_20_0 = e11 | all_20_0 = e10) & (all_20_1 = e13 | all_20_1 = e12
% 49.42/12.22 | | all_20_1 = e11 | all_20_1 = e10) & (all_20_2 = e13 | all_20_2 =
% 49.42/12.22 | e12 | all_20_2 = e11 | all_20_2 = e10) & (all_20_3 = e13 | all_20_3
% 49.42/12.22 | = e12 | all_20_3 = e11 | all_20_3 = e10) & (all_20_4 = e13 |
% 49.42/12.22 | all_20_4 = e12 | all_20_4 = e11 | all_20_4 = e10) & (all_20_5 = e13
% 49.42/12.22 | | all_20_5 = e12 | all_20_5 = e11 | all_20_5 = e10) & (all_20_6 =
% 49.42/12.22 | e13 | all_20_6 = e12 | all_20_6 = e11 | all_20_6 = e10) & (all_20_7
% 49.42/12.22 | = e13 | all_20_7 = e12 | all_20_7 = e11 | all_20_7 = e10) &
% 49.42/12.22 | (all_20_8 = e13 | all_20_8 = e12 | all_20_8 = e11 | all_20_8 = e10) &
% 49.42/12.22 | (all_20_9 = e13 | all_20_9 = e12 | all_20_9 = e11 | all_20_9 = e10) &
% 49.42/12.22 | (all_20_10 = e13 | all_20_10 = e12 | all_20_10 = e11 | all_20_10 =
% 49.42/12.22 | e10) & (all_20_11 = e13 | all_20_11 = e12 | all_20_11 = e11 |
% 49.42/12.22 | all_20_11 = e10) & (all_20_12 = e13 | all_20_12 = e12 | all_20_12 =
% 49.42/12.22 | e11 | all_20_12 = e10) & (all_20_13 = e13 | all_20_13 = e12 |
% 49.42/12.22 | all_20_13 = e11 | all_20_13 = e10) & (all_20_14 = e13 | all_20_14 =
% 49.42/12.22 | e12 | all_20_14 = e11 | all_20_14 = e10) & (all_20_15 = e13 |
% 49.42/12.22 | all_20_15 = e12 | all_20_15 = e11 | all_20_15 = e10)
% 49.42/12.22 |
% 49.42/12.22 | ALPHA: (254) implies:
% 49.42/12.22 | (255) op1(e10, e10) = all_20_15
% 49.42/12.22 | (256) op1(e10, e11) = all_20_14
% 49.42/12.22 | (257) op1(e10, e12) = all_20_13
% 49.42/12.22 | (258) op1(e10, e13) = all_20_12
% 49.42/12.22 | (259) op1(e11, e10) = all_20_11
% 49.42/12.22 | (260) op1(e11, e11) = all_20_10
% 49.42/12.22 | (261) op1(e11, e12) = all_20_9
% 49.42/12.22 | (262) op1(e11, e13) = all_20_8
% 49.42/12.22 | (263) op1(e12, e10) = all_20_7
% 49.42/12.22 | (264) op1(e12, e11) = all_20_6
% 49.42/12.22 | (265) op1(e12, e12) = all_20_5
% 49.42/12.22 | (266) op1(e12, e13) = all_20_4
% 49.42/12.22 | (267) op1(e13, e10) = all_20_3
% 49.42/12.22 | (268) op1(e13, e11) = all_20_2
% 49.42/12.22 | (269) op1(e13, e12) = all_20_1
% 49.42/12.22 | (270) op1(e13, e13) = all_20_0
% 49.42/12.22 | (271) all_20_15 = e13 | all_20_15 = e12 | all_20_15 = e11 | all_20_15 = e10
% 49.42/12.22 | (272) all_20_14 = e13 | all_20_14 = e12 | all_20_14 = e11 | all_20_14 = e10
% 49.42/12.23 | (273) all_20_13 = e13 | all_20_13 = e12 | all_20_13 = e11 | all_20_13 = e10
% 49.42/12.23 | (274) all_20_12 = e13 | all_20_12 = e12 | all_20_12 = e11 | all_20_12 = e10
% 49.42/12.23 | (275) all_20_9 = e13 | all_20_9 = e12 | all_20_9 = e11 | all_20_9 = e10
% 49.42/12.23 | (276) all_20_8 = e13 | all_20_8 = e12 | all_20_8 = e11 | all_20_8 = e10
% 49.42/12.23 | (277) all_20_7 = e13 | all_20_7 = e12 | all_20_7 = e11 | all_20_7 = e10
% 49.42/12.23 | (278) all_20_5 = e13 | all_20_5 = e12 | all_20_5 = e11 | all_20_5 = e10
% 49.42/12.23 | (279) all_20_4 = e13 | all_20_4 = e12 | all_20_4 = e11 | all_20_4 = e10
% 49.42/12.23 | (280) all_20_3 = e13 | all_20_3 = e12 | all_20_3 = e11 | all_20_3 = e10
% 49.42/12.23 | (281) all_20_2 = e13 | all_20_2 = e12 | all_20_2 = e11 | all_20_2 = e10
% 49.42/12.23 | (282) all_20_1 = e13 | all_20_1 = e12 | all_20_1 = e11 | all_20_1 = e10
% 49.59/12.23 |
% 49.59/12.23 | DELTA: instantiating (3) with fresh symbols all_22_0, all_22_1, all_22_2,
% 49.59/12.23 | all_22_3, all_22_4, all_22_5, all_22_6, all_22_7, all_22_8, all_22_9,
% 49.59/12.23 | all_22_10, all_22_11, all_22_12, all_22_13, all_22_14, all_22_15 gives:
% 49.59/12.23 | (283) op2(e23, e23) = all_22_0 & op2(e23, e22) = all_22_1 & op2(e23, e21) =
% 49.59/12.23 | all_22_2 & op2(e23, e20) = all_22_3 & op2(e22, e23) = all_22_4 &
% 49.59/12.23 | op2(e22, e22) = all_22_5 & op2(e22, e21) = all_22_6 & op2(e22, e20) =
% 49.59/12.23 | all_22_7 & op2(e21, e23) = all_22_8 & op2(e21, e22) = all_22_9 &
% 49.59/12.23 | op2(e21, e21) = all_22_10 & op2(e21, e20) = all_22_11 & op2(e20, e23)
% 49.59/12.23 | = all_22_12 & op2(e20, e22) = all_22_13 & op2(e20, e21) = all_22_14 &
% 49.59/12.23 | op2(e20, e20) = all_22_15 & $i(all_22_0) & $i(all_22_1) &
% 49.59/12.23 | $i(all_22_2) & $i(all_22_3) & $i(all_22_4) & $i(all_22_5) &
% 49.59/12.23 | $i(all_22_6) & $i(all_22_7) & $i(all_22_8) & $i(all_22_9) &
% 49.59/12.23 | $i(all_22_10) & $i(all_22_11) & $i(all_22_12) & $i(all_22_13) &
% 49.59/12.23 | $i(all_22_14) & $i(all_22_15) & (all_22_0 = e23 | all_22_0 = e22 |
% 49.59/12.23 | all_22_0 = e21 | all_22_0 = e20) & (all_22_1 = e23 | all_22_1 = e22
% 49.59/12.23 | | all_22_1 = e21 | all_22_1 = e20) & (all_22_2 = e23 | all_22_2 =
% 49.59/12.23 | e22 | all_22_2 = e21 | all_22_2 = e20) & (all_22_3 = e23 | all_22_3
% 49.59/12.23 | = e22 | all_22_3 = e21 | all_22_3 = e20) & (all_22_4 = e23 |
% 49.59/12.23 | all_22_4 = e22 | all_22_4 = e21 | all_22_4 = e20) & (all_22_5 = e23
% 49.59/12.23 | | all_22_5 = e22 | all_22_5 = e21 | all_22_5 = e20) & (all_22_6 =
% 49.59/12.23 | e23 | all_22_6 = e22 | all_22_6 = e21 | all_22_6 = e20) & (all_22_7
% 49.59/12.23 | = e23 | all_22_7 = e22 | all_22_7 = e21 | all_22_7 = e20) &
% 49.59/12.23 | (all_22_8 = e23 | all_22_8 = e22 | all_22_8 = e21 | all_22_8 = e20) &
% 49.59/12.23 | (all_22_9 = e23 | all_22_9 = e22 | all_22_9 = e21 | all_22_9 = e20) &
% 49.59/12.23 | (all_22_10 = e23 | all_22_10 = e22 | all_22_10 = e21 | all_22_10 =
% 49.59/12.23 | e20) & (all_22_11 = e23 | all_22_11 = e22 | all_22_11 = e21 |
% 49.59/12.23 | all_22_11 = e20) & (all_22_12 = e23 | all_22_12 = e22 | all_22_12 =
% 49.59/12.23 | e21 | all_22_12 = e20) & (all_22_13 = e23 | all_22_13 = e22 |
% 49.59/12.23 | all_22_13 = e21 | all_22_13 = e20) & (all_22_14 = e23 | all_22_14 =
% 49.59/12.23 | e22 | all_22_14 = e21 | all_22_14 = e20) & (all_22_15 = e23 |
% 49.59/12.23 | all_22_15 = e22 | all_22_15 = e21 | all_22_15 = e20)
% 49.59/12.23 |
% 49.59/12.23 | ALPHA: (283) implies:
% 49.59/12.23 | (284) op2(e20, e20) = all_22_15
% 49.59/12.23 | (285) op2(e20, e21) = all_22_14
% 49.59/12.23 | (286) op2(e20, e22) = all_22_13
% 49.59/12.23 | (287) op2(e20, e23) = all_22_12
% 49.59/12.23 | (288) op2(e21, e20) = all_22_11
% 49.59/12.23 | (289) op2(e21, e21) = all_22_10
% 49.59/12.23 | (290) op2(e21, e22) = all_22_9
% 49.59/12.23 | (291) op2(e21, e23) = all_22_8
% 49.59/12.23 | (292) op2(e22, e20) = all_22_7
% 49.59/12.23 | (293) op2(e22, e21) = all_22_6
% 49.59/12.23 | (294) op2(e22, e22) = all_22_5
% 49.59/12.23 | (295) op2(e22, e23) = all_22_4
% 49.59/12.23 | (296) op2(e23, e20) = all_22_3
% 49.59/12.23 | (297) op2(e23, e21) = all_22_2
% 49.59/12.23 | (298) op2(e23, e22) = all_22_1
% 49.59/12.23 | (299) op2(e23, e23) = all_22_0
% 49.59/12.24 | (300) all_22_15 = e23 | all_22_15 = e22 | all_22_15 = e21 | all_22_15 = e20
% 49.59/12.24 | (301) all_22_14 = e23 | all_22_14 = e22 | all_22_14 = e21 | all_22_14 = e20
% 49.59/12.24 | (302) all_22_13 = e23 | all_22_13 = e22 | all_22_13 = e21 | all_22_13 = e20
% 49.59/12.24 | (303) all_22_12 = e23 | all_22_12 = e22 | all_22_12 = e21 | all_22_12 = e20
% 49.59/12.24 | (304) all_22_9 = e23 | all_22_9 = e22 | all_22_9 = e21 | all_22_9 = e20
% 49.59/12.24 | (305) all_22_8 = e23 | all_22_8 = e22 | all_22_8 = e21 | all_22_8 = e20
% 49.59/12.24 | (306) all_22_7 = e23 | all_22_7 = e22 | all_22_7 = e21 | all_22_7 = e20
% 49.59/12.24 | (307) all_22_5 = e23 | all_22_5 = e22 | all_22_5 = e21 | all_22_5 = e20
% 49.59/12.24 | (308) all_22_4 = e23 | all_22_4 = e22 | all_22_4 = e21 | all_22_4 = e20
% 49.59/12.24 | (309) all_22_3 = e23 | all_22_3 = e22 | all_22_3 = e21 | all_22_3 = e20
% 49.59/12.24 | (310) all_22_2 = e23 | all_22_2 = e22 | all_22_2 = e21 | all_22_2 = e20
% 49.59/12.24 | (311) all_22_1 = e23 | all_22_1 = e22 | all_22_1 = e21 | all_22_1 = e20
% 49.59/12.24 | (312) all_22_0 = e23 | all_22_0 = e22 | all_22_0 = e21 | all_22_0 = e20
% 49.59/12.24 |
% 49.59/12.24 | DELTA: instantiating (4) with fresh symbols all_24_0, all_24_1, all_24_2,
% 49.59/12.24 | all_24_3, all_24_4, all_24_5, all_24_6, all_24_7, all_24_8, all_24_9,
% 49.59/12.24 | all_24_10, all_24_11, all_24_12, all_24_13, all_24_14, all_24_15 gives:
% 49.59/12.24 | (313) op2(e23, e23) = all_24_0 & op2(e23, e22) = all_24_1 & op2(e23, e21) =
% 49.59/12.24 | all_24_4 & op2(e23, e20) = all_24_9 & op2(e22, e23) = all_24_2 &
% 49.59/12.24 | op2(e22, e22) = all_24_3 & op2(e22, e21) = all_24_5 & op2(e22, e20) =
% 49.59/12.24 | all_24_10 & op2(e21, e23) = all_24_6 & op2(e21, e22) = all_24_7 &
% 49.59/12.24 | op2(e21, e21) = all_24_8 & op2(e21, e20) = all_24_11 & op2(e20, e23)
% 49.59/12.24 | = all_24_12 & op2(e20, e22) = all_24_13 & op2(e20, e21) = all_24_14 &
% 49.59/12.24 | op2(e20, e20) = all_24_15 & $i(all_24_0) & $i(all_24_1) &
% 49.59/12.24 | $i(all_24_2) & $i(all_24_3) & $i(all_24_4) & $i(all_24_5) &
% 49.59/12.24 | $i(all_24_6) & $i(all_24_7) & $i(all_24_8) & $i(all_24_9) &
% 49.59/12.24 | $i(all_24_10) & $i(all_24_11) & $i(all_24_12) & $i(all_24_13) &
% 49.59/12.24 | $i(all_24_14) & $i(all_24_15) & (all_24_0 = e23 | all_24_1 = e23 |
% 49.59/12.24 | all_24_4 = e23 | all_24_9 = e23) & (all_24_0 = e23 | all_24_2 = e23
% 49.59/12.24 | | all_24_6 = e23 | all_24_12 = e23) & (all_24_0 = e22 | all_24_1 =
% 49.59/12.24 | e22 | all_24_4 = e22 | all_24_9 = e22) & (all_24_0 = e22 | all_24_2
% 49.59/12.24 | = e22 | all_24_6 = e22 | all_24_12 = e22) & (all_24_0 = e21 |
% 49.59/12.24 | all_24_1 = e21 | all_24_4 = e21 | all_24_9 = e21) & (all_24_0 = e21
% 49.59/12.24 | | all_24_2 = e21 | all_24_6 = e21 | all_24_12 = e21) & (all_24_0 =
% 49.59/12.24 | e20 | all_24_1 = e20 | all_24_4 = e20 | all_24_9 = e20) & (all_24_0
% 49.59/12.24 | = e20 | all_24_2 = e20 | all_24_6 = e20 | all_24_12 = e20) &
% 49.59/12.24 | (all_24_1 = e23 | all_24_3 = e23 | all_24_7 = e23 | all_24_13 = e23)
% 49.59/12.24 | & (all_24_1 = e22 | all_24_3 = e22 | all_24_7 = e22 | all_24_13 =
% 49.59/12.24 | e22) & (all_24_1 = e21 | all_24_3 = e21 | all_24_7 = e21 |
% 49.59/12.24 | all_24_13 = e21) & (all_24_1 = e20 | all_24_3 = e20 | all_24_7 =
% 49.59/12.24 | e20 | all_24_13 = e20) & (all_24_2 = e23 | all_24_3 = e23 |
% 49.59/12.24 | all_24_5 = e23 | all_24_10 = e23) & (all_24_2 = e22 | all_24_3 =
% 49.59/12.24 | e22 | all_24_5 = e22 | all_24_10 = e22) & (all_24_2 = e21 |
% 49.59/12.24 | all_24_3 = e21 | all_24_5 = e21 | all_24_10 = e21) & (all_24_2 =
% 49.59/12.24 | e20 | all_24_3 = e20 | all_24_5 = e20 | all_24_10 = e20) &
% 49.59/12.24 | (all_24_4 = e23 | all_24_5 = e23 | all_24_8 = e23 | all_24_14 = e23)
% 49.59/12.24 | & (all_24_4 = e22 | all_24_5 = e22 | all_24_8 = e22 | all_24_14 =
% 49.59/12.24 | e22) & (all_24_4 = e21 | all_24_5 = e21 | all_24_8 = e21 |
% 49.59/12.24 | all_24_14 = e21) & (all_24_4 = e20 | all_24_5 = e20 | all_24_8 =
% 49.59/12.24 | e20 | all_24_14 = e20) & (all_24_6 = e23 | all_24_7 = e23 |
% 49.59/12.24 | all_24_8 = e23 | all_24_11 = e23) & (all_24_6 = e22 | all_24_7 =
% 49.59/12.24 | e22 | all_24_8 = e22 | all_24_11 = e22) & (all_24_6 = e21 |
% 49.59/12.24 | all_24_7 = e21 | all_24_8 = e21 | all_24_11 = e21) & (all_24_6 =
% 49.59/12.24 | e20 | all_24_7 = e20 | all_24_8 = e20 | all_24_11 = e20) &
% 49.59/12.24 | (all_24_9 = e23 | all_24_10 = e23 | all_24_11 = e23 | all_24_15 =
% 49.59/12.24 | e23) & (all_24_9 = e22 | all_24_10 = e22 | all_24_11 = e22 |
% 49.59/12.24 | all_24_15 = e22) & (all_24_9 = e21 | all_24_10 = e21 | all_24_11 =
% 49.59/12.24 | e21 | all_24_15 = e21) & (all_24_12 = e23 | all_24_13 = e23 |
% 49.59/12.24 | all_24_14 = e23 | all_24_15 = e23) & (all_24_12 = e22 | all_24_13 =
% 49.59/12.24 | e22 | all_24_14 = e22 | all_24_15 = e22) & (all_24_12 = e21 |
% 49.59/12.24 | all_24_13 = e21 | all_24_14 = e21 | all_24_15 = e21) & (all_24_15 =
% 49.59/12.24 | e20 | ((all_24_9 = e20 | all_24_10 = e20 | all_24_11 = e20) &
% 49.59/12.24 | (all_24_12 = e20 | all_24_13 = e20 | all_24_14 = e20)))
% 49.59/12.24 |
% 49.59/12.24 | ALPHA: (313) implies:
% 49.59/12.24 | (314) op2(e20, e20) = all_24_15
% 49.59/12.24 | (315) op2(e20, e21) = all_24_14
% 49.59/12.24 | (316) op2(e20, e22) = all_24_13
% 49.59/12.24 | (317) op2(e20, e23) = all_24_12
% 49.59/12.24 | (318) op2(e21, e20) = all_24_11
% 49.59/12.24 | (319) op2(e21, e21) = all_24_8
% 49.59/12.24 | (320) op2(e21, e22) = all_24_7
% 49.59/12.25 | (321) op2(e21, e23) = all_24_6
% 49.59/12.25 | (322) op2(e22, e20) = all_24_10
% 49.59/12.25 | (323) op2(e22, e21) = all_24_5
% 49.59/12.25 | (324) op2(e22, e22) = all_24_3
% 49.59/12.25 | (325) op2(e22, e23) = all_24_2
% 49.59/12.25 | (326) op2(e23, e20) = all_24_9
% 49.59/12.25 | (327) op2(e23, e21) = all_24_4
% 49.59/12.25 | (328) op2(e23, e22) = all_24_1
% 49.59/12.25 | (329) op2(e23, e23) = all_24_0
% 49.59/12.25 | (330) all_24_15 = e20 | ((all_24_9 = e20 | all_24_10 = e20 | all_24_11 =
% 49.59/12.25 | e20) & (all_24_12 = e20 | all_24_13 = e20 | all_24_14 = e20))
% 49.59/12.25 | (331) all_24_12 = e22 | all_24_13 = e22 | all_24_14 = e22 | all_24_15 = e22
% 49.59/12.25 | (332) all_24_12 = e23 | all_24_13 = e23 | all_24_14 = e23 | all_24_15 = e23
% 49.59/12.25 | (333) all_24_9 = e21 | all_24_10 = e21 | all_24_11 = e21 | all_24_15 = e21
% 49.59/12.25 | (334) all_24_6 = e20 | all_24_7 = e20 | all_24_8 = e20 | all_24_11 = e20
% 49.59/12.25 | (335) all_24_6 = e21 | all_24_7 = e21 | all_24_8 = e21 | all_24_11 = e21
% 49.59/12.25 | (336) all_24_4 = e21 | all_24_5 = e21 | all_24_8 = e21 | all_24_14 = e21
% 49.59/12.25 | (337) all_24_4 = e23 | all_24_5 = e23 | all_24_8 = e23 | all_24_14 = e23
% 49.59/12.25 | (338) all_24_2 = e21 | all_24_3 = e21 | all_24_5 = e21 | all_24_10 = e21
% 49.59/12.25 | (339) all_24_2 = e23 | all_24_3 = e23 | all_24_5 = e23 | all_24_10 = e23
% 49.59/12.25 | (340) all_24_1 = e20 | all_24_3 = e20 | all_24_7 = e20 | all_24_13 = e20
% 49.59/12.25 | (341) all_24_1 = e21 | all_24_3 = e21 | all_24_7 = e21 | all_24_13 = e21
% 49.59/12.26 | (342) all_24_1 = e23 | all_24_3 = e23 | all_24_7 = e23 | all_24_13 = e23
% 49.59/12.26 | (343) all_24_0 = e20 | all_24_2 = e20 | all_24_6 = e20 | all_24_12 = e20
% 49.59/12.26 | (344) all_24_0 = e21 | all_24_2 = e21 | all_24_6 = e21 | all_24_12 = e21
% 49.59/12.26 | (345) all_24_0 = e21 | all_24_1 = e21 | all_24_4 = e21 | all_24_9 = e21
% 49.59/12.26 | (346) all_24_0 = e22 | all_24_2 = e22 | all_24_6 = e22 | all_24_12 = e22
% 49.59/12.26 | (347) all_24_0 = e23 | all_24_2 = e23 | all_24_6 = e23 | all_24_12 = e23
% 49.59/12.26 |
% 49.59/12.26 | DELTA: instantiating (2) with fresh symbols all_26_0, all_26_1, all_26_2,
% 49.59/12.26 | all_26_3, all_26_4, all_26_5, all_26_6, all_26_7, all_26_8, all_26_9,
% 49.59/12.26 | all_26_10, all_26_11, all_26_12, all_26_13, all_26_14, all_26_15 gives:
% 49.59/12.26 | (348) op1(e13, e13) = all_26_0 & op1(e13, e12) = all_26_1 & op1(e13, e11) =
% 49.59/12.26 | all_26_4 & op1(e13, e10) = all_26_9 & op1(e12, e13) = all_26_2 &
% 49.59/12.26 | op1(e12, e12) = all_26_3 & op1(e12, e11) = all_26_5 & op1(e12, e10) =
% 49.59/12.26 | all_26_10 & op1(e11, e13) = all_26_6 & op1(e11, e12) = all_26_7 &
% 49.59/12.26 | op1(e11, e11) = all_26_8 & op1(e11, e10) = all_26_11 & op1(e10, e13)
% 49.59/12.26 | = all_26_12 & op1(e10, e12) = all_26_13 & op1(e10, e11) = all_26_14 &
% 49.59/12.26 | op1(e10, e10) = all_26_15 & $i(all_26_0) & $i(all_26_1) &
% 49.59/12.26 | $i(all_26_2) & $i(all_26_3) & $i(all_26_4) & $i(all_26_5) &
% 49.59/12.26 | $i(all_26_6) & $i(all_26_7) & $i(all_26_8) & $i(all_26_9) &
% 49.59/12.26 | $i(all_26_10) & $i(all_26_11) & $i(all_26_12) & $i(all_26_13) &
% 49.59/12.26 | $i(all_26_14) & $i(all_26_15) & (all_26_0 = e13 | all_26_1 = e13 |
% 49.59/12.26 | all_26_4 = e13 | all_26_9 = e13) & (all_26_0 = e13 | all_26_2 = e13
% 49.59/12.26 | | all_26_6 = e13 | all_26_12 = e13) & (all_26_0 = e12 | all_26_1 =
% 49.59/12.26 | e12 | all_26_4 = e12 | all_26_9 = e12) & (all_26_0 = e12 | all_26_2
% 49.59/12.26 | = e12 | all_26_6 = e12 | all_26_12 = e12) & (all_26_0 = e11 |
% 49.59/12.26 | all_26_1 = e11 | all_26_4 = e11 | all_26_9 = e11) & (all_26_0 = e11
% 49.59/12.26 | | all_26_2 = e11 | all_26_6 = e11 | all_26_12 = e11) & (all_26_0 =
% 49.59/12.26 | e10 | all_26_1 = e10 | all_26_4 = e10 | all_26_9 = e10) & (all_26_0
% 49.59/12.26 | = e10 | all_26_2 = e10 | all_26_6 = e10 | all_26_12 = e10) &
% 49.59/12.26 | (all_26_1 = e13 | all_26_3 = e13 | all_26_7 = e13 | all_26_13 = e13)
% 49.59/12.26 | & (all_26_1 = e12 | all_26_3 = e12 | all_26_7 = e12 | all_26_13 =
% 49.59/12.26 | e12) & (all_26_1 = e11 | all_26_3 = e11 | all_26_7 = e11 |
% 49.59/12.26 | all_26_13 = e11) & (all_26_1 = e10 | all_26_3 = e10 | all_26_7 =
% 49.59/12.26 | e10 | all_26_13 = e10) & (all_26_2 = e13 | all_26_3 = e13 |
% 49.59/12.26 | all_26_5 = e13 | all_26_10 = e13) & (all_26_2 = e12 | all_26_3 =
% 49.59/12.26 | e12 | all_26_5 = e12 | all_26_10 = e12) & (all_26_2 = e11 |
% 49.59/12.26 | all_26_3 = e11 | all_26_5 = e11 | all_26_10 = e11) & (all_26_2 =
% 49.59/12.26 | e10 | all_26_3 = e10 | all_26_5 = e10 | all_26_10 = e10) &
% 49.59/12.26 | (all_26_4 = e13 | all_26_5 = e13 | all_26_8 = e13 | all_26_14 = e13)
% 49.59/12.26 | & (all_26_4 = e12 | all_26_5 = e12 | all_26_8 = e12 | all_26_14 =
% 49.59/12.26 | e12) & (all_26_4 = e11 | all_26_5 = e11 | all_26_8 = e11 |
% 49.59/12.26 | all_26_14 = e11) & (all_26_4 = e10 | all_26_5 = e10 | all_26_8 =
% 49.59/12.26 | e10 | all_26_14 = e10) & (all_26_6 = e13 | all_26_7 = e13 |
% 49.59/12.26 | all_26_8 = e13 | all_26_11 = e13) & (all_26_6 = e12 | all_26_7 =
% 49.59/12.26 | e12 | all_26_8 = e12 | all_26_11 = e12) & (all_26_6 = e11 |
% 49.59/12.26 | all_26_7 = e11 | all_26_8 = e11 | all_26_11 = e11) & (all_26_6 =
% 49.59/12.26 | e10 | all_26_7 = e10 | all_26_8 = e10 | all_26_11 = e10) &
% 49.59/12.26 | (all_26_9 = e13 | all_26_10 = e13 | all_26_11 = e13 | all_26_15 =
% 49.59/12.26 | e13) & (all_26_9 = e12 | all_26_10 = e12 | all_26_11 = e12 |
% 49.59/12.26 | all_26_15 = e12) & (all_26_9 = e11 | all_26_10 = e11 | all_26_11 =
% 49.59/12.26 | e11 | all_26_15 = e11) & (all_26_12 = e13 | all_26_13 = e13 |
% 49.59/12.26 | all_26_14 = e13 | all_26_15 = e13) & (all_26_12 = e12 | all_26_13 =
% 49.59/12.26 | e12 | all_26_14 = e12 | all_26_15 = e12) & (all_26_12 = e11 |
% 49.59/12.26 | all_26_13 = e11 | all_26_14 = e11 | all_26_15 = e11) & (all_26_15 =
% 49.59/12.26 | e10 | ((all_26_9 = e10 | all_26_10 = e10 | all_26_11 = e10) &
% 49.59/12.26 | (all_26_12 = e10 | all_26_13 = e10 | all_26_14 = e10)))
% 49.59/12.26 |
% 49.59/12.26 | ALPHA: (348) implies:
% 49.59/12.26 | (349) op1(e10, e10) = all_26_15
% 49.59/12.26 | (350) op1(e10, e11) = all_26_14
% 49.59/12.26 | (351) op1(e10, e12) = all_26_13
% 49.59/12.26 | (352) op1(e10, e13) = all_26_12
% 49.59/12.26 | (353) op1(e11, e10) = all_26_11
% 49.59/12.26 | (354) op1(e11, e11) = all_26_8
% 49.59/12.26 | (355) op1(e11, e12) = all_26_7
% 49.59/12.26 | (356) op1(e11, e13) = all_26_6
% 49.59/12.26 | (357) op1(e12, e10) = all_26_10
% 49.59/12.26 | (358) op1(e12, e11) = all_26_5
% 49.59/12.26 | (359) op1(e12, e12) = all_26_3
% 49.59/12.26 | (360) op1(e12, e13) = all_26_2
% 49.59/12.26 | (361) op1(e13, e10) = all_26_9
% 49.59/12.26 | (362) op1(e13, e11) = all_26_4
% 49.59/12.26 | (363) op1(e13, e12) = all_26_1
% 49.59/12.26 | (364) op1(e13, e13) = all_26_0
% 49.59/12.26 | (365) all_26_15 = e10 | ((all_26_9 = e10 | all_26_10 = e10 | all_26_11 =
% 49.59/12.26 | e10) & (all_26_12 = e10 | all_26_13 = e10 | all_26_14 = e10))
% 49.59/12.26 | (366) all_26_12 = e11 | all_26_13 = e11 | all_26_14 = e11 | all_26_15 = e11
% 49.59/12.26 | (367) all_26_12 = e12 | all_26_13 = e12 | all_26_14 = e12 | all_26_15 = e12
% 49.59/12.26 | (368) all_26_12 = e13 | all_26_13 = e13 | all_26_14 = e13 | all_26_15 = e13
% 49.59/12.26 | (369) all_26_9 = e12 | all_26_10 = e12 | all_26_11 = e12 | all_26_15 = e12
% 49.59/12.26 | (370) all_26_6 = e10 | all_26_7 = e10 | all_26_8 = e10 | all_26_11 = e10
% 49.59/12.26 | (371) all_26_6 = e11 | all_26_7 = e11 | all_26_8 = e11 | all_26_11 = e11
% 49.59/12.26 | (372) all_26_4 = e13 | all_26_5 = e13 | all_26_8 = e13 | all_26_14 = e13
% 49.59/12.26 | (373) all_26_2 = e11 | all_26_3 = e11 | all_26_5 = e11 | all_26_10 = e11
% 49.59/12.26 | (374) all_26_2 = e12 | all_26_3 = e12 | all_26_5 = e12 | all_26_10 = e12
% 49.59/12.26 | (375) all_26_2 = e13 | all_26_3 = e13 | all_26_5 = e13 | all_26_10 = e13
% 49.59/12.26 | (376) all_26_1 = e10 | all_26_3 = e10 | all_26_7 = e10 | all_26_13 = e10
% 49.59/12.26 | (377) all_26_1 = e13 | all_26_3 = e13 | all_26_7 = e13 | all_26_13 = e13
% 49.59/12.26 | (378) all_26_0 = e12 | all_26_2 = e12 | all_26_6 = e12 | all_26_12 = e12
% 49.59/12.26 |
% 49.59/12.26 | DELTA: instantiating (27) with fresh symbols all_28_0, all_28_1, all_28_2,
% 49.59/12.26 | all_28_3, all_28_4, all_28_5, all_28_6, all_28_7, all_28_8, all_28_9,
% 49.59/12.26 | all_28_10, all_28_11, all_28_12, all_28_13, all_28_14, all_28_15,
% 49.59/12.26 | all_28_16, all_28_17, all_28_18, all_28_19, all_28_20, all_28_21,
% 49.59/12.26 | all_28_22, all_28_23, all_28_24, all_28_25, all_28_26, all_28_27,
% 49.59/12.26 | all_28_28, all_28_29, all_28_30, all_28_31, all_28_32, all_28_33,
% 49.59/12.26 | all_28_34, all_28_35, all_28_36, all_28_37, all_28_38, all_28_39,
% 49.59/12.26 | all_28_40, all_28_41, all_28_42, all_28_43, all_28_44, all_28_45,
% 49.59/12.26 | all_28_46, all_28_47, all_28_48, all_28_49, all_28_50, all_28_51,
% 49.59/12.26 | all_28_52, all_28_53, all_28_54, all_28_55, all_28_56, all_28_57,
% 49.59/12.26 | all_28_58, all_28_59, all_28_60, all_28_61, all_28_62, all_28_63,
% 49.59/12.26 | all_28_64, all_28_65, all_28_66, all_28_67, all_28_68, all_28_69,
% 49.59/12.26 | all_28_70, all_28_71, all_28_72, all_28_73, all_28_74, all_28_75,
% 49.59/12.26 | all_28_76, all_28_77, all_28_78, all_28_79, all_28_80, all_28_81,
% 49.59/12.26 | all_28_82, all_28_83, all_28_84, all_28_85, all_28_86, all_28_87,
% 49.59/12.26 | all_28_88, all_28_89, all_28_90, all_28_91, all_28_92, all_28_93,
% 49.59/12.26 | all_28_94, all_28_95, all_28_96, all_28_97, all_28_98, all_28_99,
% 49.59/12.26 | all_28_100, all_28_101, all_28_102, all_28_103, all_28_104, all_28_105,
% 49.59/12.26 | all_28_106, all_28_107, all_28_108, all_28_109, all_28_110, all_28_111,
% 49.59/12.26 | all_28_112, all_28_113, all_28_114, all_28_115, all_28_116, all_28_117,
% 49.59/12.26 | all_28_118, all_28_119, all_28_120, all_28_121, all_28_122, all_28_123,
% 49.59/12.26 | all_28_124, all_28_125, all_28_126, all_28_127, all_28_128, all_28_129,
% 49.59/12.26 | all_28_130, all_28_131, all_28_132, all_28_133, all_28_134, all_28_135,
% 49.59/12.26 | all_28_136, all_28_137, all_28_138, all_28_139, all_28_140, all_28_141,
% 49.59/12.26 | all_28_142, all_28_143, all_28_144, all_28_145, all_28_146, all_28_147,
% 49.59/12.26 | all_28_148, all_28_149, all_28_150, all_28_151, all_28_152, all_28_153,
% 49.59/12.26 | all_28_154, all_28_155, all_28_156, all_28_157, all_28_158, all_28_159
% 49.59/12.26 | gives:
% 49.59/12.29 | (379) h4(all_28_110) = all_28_1 & h4(all_28_113) = all_28_3 &
% 49.59/12.30 | h4(all_28_116) = all_28_5 & h4(all_28_119) = all_28_7 &
% 49.59/12.30 | h4(all_28_122) = all_28_9 & h4(all_28_125) = all_28_11 &
% 49.59/12.30 | h4(all_28_128) = all_28_13 & h4(all_28_131) = all_28_15 &
% 49.59/12.30 | h4(all_28_134) = all_28_17 & h4(all_28_137) = all_28_19 &
% 49.59/12.30 | h4(all_28_140) = all_28_21 & h4(all_28_143) = all_28_23 &
% 49.59/12.30 | h4(all_28_147) = all_28_26 & h4(all_28_151) = all_28_29 &
% 49.59/12.30 | h4(all_28_155) = all_28_32 & h4(all_28_159) = all_28_35 & h4(e13) =
% 49.59/12.30 | all_28_25 & h4(e12) = all_28_28 & h4(e11) = all_28_31 & h4(e10) =
% 49.59/12.30 | all_28_34 & h3(all_28_110) = all_28_37 & h3(all_28_113) = all_28_39 &
% 49.59/12.30 | h3(all_28_116) = all_28_41 & h3(all_28_119) = all_28_43 &
% 49.59/12.30 | h3(all_28_122) = all_28_45 & h3(all_28_125) = all_28_47 &
% 49.59/12.30 | h3(all_28_128) = all_28_49 & h3(all_28_131) = all_28_51 &
% 49.59/12.30 | h3(all_28_134) = all_28_53 & h3(all_28_137) = all_28_55 &
% 49.59/12.30 | h3(all_28_140) = all_28_57 & h3(all_28_143) = all_28_59 &
% 49.59/12.30 | h3(all_28_147) = all_28_62 & h3(all_28_151) = all_28_65 &
% 49.59/12.30 | h3(all_28_155) = all_28_68 & h3(all_28_159) = all_28_71 & h3(e13) =
% 49.59/12.30 | all_28_61 & h3(e12) = all_28_64 & h3(e11) = all_28_67 & h3(e10) =
% 49.59/12.30 | all_28_70 & h2(all_28_110) = all_28_73 & h2(all_28_113) = all_28_75 &
% 49.59/12.30 | h2(all_28_116) = all_28_77 & h2(all_28_119) = all_28_79 &
% 49.59/12.30 | h2(all_28_122) = all_28_81 & h2(all_28_125) = all_28_83 &
% 49.59/12.30 | h2(all_28_128) = all_28_85 & h2(all_28_131) = all_28_87 &
% 49.59/12.30 | h2(all_28_134) = all_28_89 & h2(all_28_137) = all_28_91 &
% 49.59/12.30 | h2(all_28_140) = all_28_93 & h2(all_28_143) = all_28_95 &
% 49.59/12.30 | h2(all_28_147) = all_28_98 & h2(all_28_151) = all_28_101 &
% 49.59/12.30 | h2(all_28_155) = all_28_104 & h2(all_28_159) = all_28_107 & h2(e13) =
% 49.59/12.30 | all_28_97 & h2(e12) = all_28_100 & h2(e11) = all_28_103 & h2(e10) =
% 49.59/12.30 | all_28_106 & h1(all_28_110) = all_28_109 & h1(all_28_113) =
% 49.59/12.30 | all_28_112 & h1(all_28_116) = all_28_115 & h1(all_28_119) =
% 49.59/12.30 | all_28_118 & h1(all_28_122) = all_28_121 & h1(all_28_125) =
% 49.59/12.30 | all_28_124 & h1(all_28_128) = all_28_127 & h1(all_28_131) =
% 49.59/12.30 | all_28_130 & h1(all_28_134) = all_28_133 & h1(all_28_137) =
% 49.59/12.30 | all_28_136 & h1(all_28_140) = all_28_139 & h1(all_28_143) =
% 49.59/12.30 | all_28_142 & h1(all_28_147) = all_28_146 & h1(all_28_151) =
% 49.59/12.30 | all_28_150 & h1(all_28_155) = all_28_154 & h1(all_28_159) =
% 49.59/12.30 | all_28_158 & h1(e13) = all_28_145 & h1(e12) = all_28_149 & h1(e11) =
% 49.59/12.30 | all_28_153 & h1(e10) = all_28_157 & op2(all_28_25, all_28_25) =
% 49.59/12.30 | all_28_0 & op2(all_28_25, all_28_28) = all_28_2 & op2(all_28_25,
% 49.59/12.30 | all_28_31) = all_28_4 & op2(all_28_25, all_28_34) = all_28_6 &
% 49.59/12.30 | op2(all_28_28, all_28_25) = all_28_8 & op2(all_28_28, all_28_28) =
% 49.59/12.30 | all_28_10 & op2(all_28_28, all_28_31) = all_28_12 & op2(all_28_28,
% 49.59/12.30 | all_28_34) = all_28_14 & op2(all_28_31, all_28_25) = all_28_16 &
% 49.59/12.30 | op2(all_28_31, all_28_28) = all_28_18 & op2(all_28_31, all_28_31) =
% 49.59/12.30 | all_28_20 & op2(all_28_31, all_28_34) = all_28_22 & op2(all_28_34,
% 49.59/12.30 | all_28_25) = all_28_24 & op2(all_28_34, all_28_28) = all_28_27 &
% 49.59/12.30 | op2(all_28_34, all_28_31) = all_28_30 & op2(all_28_34, all_28_34) =
% 49.59/12.30 | all_28_33 & op2(all_28_61, all_28_61) = all_28_36 & op2(all_28_61,
% 49.59/12.30 | all_28_64) = all_28_38 & op2(all_28_61, all_28_67) = all_28_40 &
% 49.59/12.30 | op2(all_28_61, all_28_70) = all_28_42 & op2(all_28_64, all_28_61) =
% 49.59/12.30 | all_28_44 & op2(all_28_64, all_28_64) = all_28_46 & op2(all_28_64,
% 49.59/12.30 | all_28_67) = all_28_48 & op2(all_28_64, all_28_70) = all_28_50 &
% 49.59/12.30 | op2(all_28_67, all_28_61) = all_28_52 & op2(all_28_67, all_28_64) =
% 49.59/12.30 | all_28_54 & op2(all_28_67, all_28_67) = all_28_56 & op2(all_28_67,
% 49.59/12.30 | all_28_70) = all_28_58 & op2(all_28_70, all_28_61) = all_28_60 &
% 49.59/12.30 | op2(all_28_70, all_28_64) = all_28_63 & op2(all_28_70, all_28_67) =
% 49.59/12.30 | all_28_66 & op2(all_28_70, all_28_70) = all_28_69 & op2(all_28_97,
% 49.59/12.30 | all_28_97) = all_28_72 & op2(all_28_97, all_28_100) = all_28_74 &
% 49.59/12.30 | op2(all_28_97, all_28_103) = all_28_76 & op2(all_28_97, all_28_106) =
% 49.59/12.30 | all_28_78 & op2(all_28_100, all_28_97) = all_28_80 & op2(all_28_100,
% 49.59/12.30 | all_28_100) = all_28_82 & op2(all_28_100, all_28_103) = all_28_84 &
% 49.59/12.30 | op2(all_28_100, all_28_106) = all_28_86 & op2(all_28_103, all_28_97)
% 49.59/12.30 | = all_28_88 & op2(all_28_103, all_28_100) = all_28_90 &
% 49.59/12.30 | op2(all_28_103, all_28_103) = all_28_92 & op2(all_28_103, all_28_106)
% 49.59/12.30 | = all_28_94 & op2(all_28_106, all_28_97) = all_28_96 &
% 49.59/12.30 | op2(all_28_106, all_28_100) = all_28_99 & op2(all_28_106, all_28_103)
% 49.59/12.30 | = all_28_102 & op2(all_28_106, all_28_106) = all_28_105 &
% 49.59/12.30 | op2(all_28_145, all_28_145) = all_28_108 & op2(all_28_145,
% 49.59/12.30 | all_28_149) = all_28_111 & op2(all_28_145, all_28_153) = all_28_114
% 49.59/12.30 | & op2(all_28_145, all_28_157) = all_28_117 & op2(all_28_149,
% 49.59/12.30 | all_28_145) = all_28_120 & op2(all_28_149, all_28_149) = all_28_123
% 49.59/12.30 | & op2(all_28_149, all_28_153) = all_28_126 & op2(all_28_149,
% 49.59/12.30 | all_28_157) = all_28_129 & op2(all_28_153, all_28_145) = all_28_132
% 49.59/12.30 | & op2(all_28_153, all_28_149) = all_28_135 & op2(all_28_153,
% 49.59/12.30 | all_28_153) = all_28_138 & op2(all_28_153, all_28_157) = all_28_141
% 49.59/12.30 | & op2(all_28_157, all_28_145) = all_28_144 & op2(all_28_157,
% 49.59/12.30 | all_28_149) = all_28_148 & op2(all_28_157, all_28_153) = all_28_152
% 49.59/12.30 | & op2(all_28_157, all_28_157) = all_28_156 & op1(e13, e13) =
% 49.59/12.30 | all_28_110 & op1(e13, e12) = all_28_113 & op1(e13, e11) = all_28_116
% 49.59/12.30 | & op1(e13, e10) = all_28_119 & op1(e12, e13) = all_28_122 & op1(e12,
% 49.59/12.30 | e12) = all_28_125 & op1(e12, e11) = all_28_128 & op1(e12, e10) =
% 49.59/12.30 | all_28_131 & op1(e11, e13) = all_28_134 & op1(e11, e12) = all_28_137
% 49.59/12.30 | & op1(e11, e11) = all_28_140 & op1(e11, e10) = all_28_143 & op1(e10,
% 49.59/12.30 | e13) = all_28_147 & op1(e10, e12) = all_28_151 & op1(e10, e11) =
% 49.59/12.30 | all_28_155 & op1(e10, e10) = all_28_159 & $i(all_28_0) & $i(all_28_1)
% 49.59/12.30 | & $i(all_28_2) & $i(all_28_3) & $i(all_28_4) & $i(all_28_5) &
% 49.59/12.30 | $i(all_28_6) & $i(all_28_7) & $i(all_28_8) & $i(all_28_9) &
% 49.59/12.30 | $i(all_28_10) & $i(all_28_11) & $i(all_28_12) & $i(all_28_13) &
% 49.59/12.30 | $i(all_28_14) & $i(all_28_15) & $i(all_28_16) & $i(all_28_17) &
% 49.59/12.30 | $i(all_28_18) & $i(all_28_19) & $i(all_28_20) & $i(all_28_21) &
% 49.59/12.30 | $i(all_28_22) & $i(all_28_23) & $i(all_28_24) & $i(all_28_25) &
% 49.59/12.30 | $i(all_28_26) & $i(all_28_27) & $i(all_28_28) & $i(all_28_29) &
% 49.59/12.30 | $i(all_28_30) & $i(all_28_31) & $i(all_28_32) & $i(all_28_33) &
% 49.59/12.30 | $i(all_28_34) & $i(all_28_35) & $i(all_28_36) & $i(all_28_37) &
% 49.59/12.30 | $i(all_28_38) & $i(all_28_39) & $i(all_28_40) & $i(all_28_41) &
% 49.59/12.30 | $i(all_28_42) & $i(all_28_43) & $i(all_28_44) & $i(all_28_45) &
% 49.59/12.30 | $i(all_28_46) & $i(all_28_47) & $i(all_28_48) & $i(all_28_49) &
% 49.59/12.30 | $i(all_28_50) & $i(all_28_51) & $i(all_28_52) & $i(all_28_53) &
% 49.59/12.30 | $i(all_28_54) & $i(all_28_55) & $i(all_28_56) & $i(all_28_57) &
% 49.59/12.30 | $i(all_28_58) & $i(all_28_59) & $i(all_28_60) & $i(all_28_61) &
% 49.59/12.30 | $i(all_28_62) & $i(all_28_63) & $i(all_28_64) & $i(all_28_65) &
% 49.59/12.30 | $i(all_28_66) & $i(all_28_67) & $i(all_28_68) & $i(all_28_69) &
% 49.59/12.30 | $i(all_28_70) & $i(all_28_71) & $i(all_28_72) & $i(all_28_73) &
% 49.59/12.30 | $i(all_28_74) & $i(all_28_75) & $i(all_28_76) & $i(all_28_77) &
% 49.59/12.30 | $i(all_28_78) & $i(all_28_79) & $i(all_28_80) & $i(all_28_81) &
% 49.59/12.31 | $i(all_28_82) & $i(all_28_83) & $i(all_28_84) & $i(all_28_85) &
% 49.59/12.31 | $i(all_28_86) & $i(all_28_87) & $i(all_28_88) & $i(all_28_89) &
% 49.59/12.31 | $i(all_28_90) & $i(all_28_91) & $i(all_28_92) & $i(all_28_93) &
% 49.59/12.31 | $i(all_28_94) & $i(all_28_95) & $i(all_28_96) & $i(all_28_97) &
% 49.59/12.31 | $i(all_28_98) & $i(all_28_99) & $i(all_28_100) & $i(all_28_101) &
% 49.59/12.31 | $i(all_28_102) & $i(all_28_103) & $i(all_28_104) & $i(all_28_105) &
% 49.59/12.31 | $i(all_28_106) & $i(all_28_107) & $i(all_28_108) & $i(all_28_109) &
% 49.59/12.31 | $i(all_28_110) & $i(all_28_111) & $i(all_28_112) & $i(all_28_113) &
% 49.59/12.31 | $i(all_28_114) & $i(all_28_115) & $i(all_28_116) & $i(all_28_117) &
% 49.59/12.31 | $i(all_28_118) & $i(all_28_119) & $i(all_28_120) & $i(all_28_121) &
% 49.59/12.31 | $i(all_28_122) & $i(all_28_123) & $i(all_28_124) & $i(all_28_125) &
% 49.59/12.31 | $i(all_28_126) & $i(all_28_127) & $i(all_28_128) & $i(all_28_129) &
% 49.59/12.31 | $i(all_28_130) & $i(all_28_131) & $i(all_28_132) & $i(all_28_133) &
% 49.59/12.31 | $i(all_28_134) & $i(all_28_135) & $i(all_28_136) & $i(all_28_137) &
% 49.59/12.31 | $i(all_28_138) & $i(all_28_139) & $i(all_28_140) & $i(all_28_141) &
% 49.59/12.31 | $i(all_28_142) & $i(all_28_143) & $i(all_28_144) & $i(all_28_145) &
% 49.59/12.31 | $i(all_28_146) & $i(all_28_147) & $i(all_28_148) & $i(all_28_149) &
% 49.59/12.31 | $i(all_28_150) & $i(all_28_151) & $i(all_28_152) & $i(all_28_153) &
% 49.59/12.31 | $i(all_28_154) & $i(all_28_155) & $i(all_28_156) & $i(all_28_157) &
% 49.59/12.31 | $i(all_28_158) & $i(all_28_159) & ( ~ (all_28_0 = all_28_1) | ~
% 49.59/12.31 | (all_28_2 = all_28_3) | ~ (all_28_4 = all_28_5) | ~ (all_28_6 =
% 49.59/12.31 | all_28_7) | ~ (all_28_8 = all_28_9) | ~ (all_28_10 = all_28_11)
% 49.59/12.31 | | ~ (all_28_12 = all_28_13) | ~ (all_28_14 = all_28_15) | ~
% 49.59/12.31 | (all_28_16 = all_28_17) | ~ (all_28_18 = all_28_19) | ~
% 49.59/12.31 | (all_28_20 = all_28_21) | ~ (all_28_22 = all_28_23) | ~
% 49.59/12.31 | (all_28_24 = all_28_26) | ~ (all_28_27 = all_28_29) | ~
% 49.59/12.31 | (all_28_30 = all_28_32) | ~ (all_28_33 = all_28_35) | ( ~
% 49.59/12.31 | (all_28_25 = e23) & ~ (all_28_28 = e23) & ~ (all_28_31 = e23) &
% 49.59/12.31 | ~ (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & ~ (all_28_28 =
% 49.59/12.31 | e22) & ~ (all_28_31 = e22) & ~ (all_28_34 = e22)) | ( ~
% 49.59/12.31 | (all_28_25 = e21) & ~ (all_28_28 = e21) & ~ (all_28_31 = e21) &
% 49.59/12.31 | ~ (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~ (all_28_28 =
% 49.59/12.31 | e20) & ~ (all_28_31 = e20) & ~ (all_28_34 = e20))) & ( ~
% 49.59/12.31 | (all_28_36 = all_28_37) | ~ (all_28_38 = all_28_39) | ~
% 49.59/12.31 | (all_28_40 = all_28_41) | ~ (all_28_42 = all_28_43) | ~
% 49.59/12.31 | (all_28_44 = all_28_45) | ~ (all_28_46 = all_28_47) | ~
% 49.59/12.31 | (all_28_48 = all_28_49) | ~ (all_28_50 = all_28_51) | ~
% 49.59/12.31 | (all_28_52 = all_28_53) | ~ (all_28_54 = all_28_55) | ~
% 49.59/12.31 | (all_28_56 = all_28_57) | ~ (all_28_58 = all_28_59) | ~
% 49.59/12.31 | (all_28_60 = all_28_62) | ~ (all_28_63 = all_28_65) | ~
% 49.59/12.31 | (all_28_66 = all_28_68) | ~ (all_28_69 = all_28_71) | ( ~
% 49.59/12.31 | (all_28_61 = e23) & ~ (all_28_64 = e23) & ~ (all_28_67 = e23) &
% 49.59/12.31 | ~ (all_28_70 = e23)) | ( ~ (all_28_61 = e22) & ~ (all_28_64 =
% 49.59/12.31 | e22) & ~ (all_28_67 = e22) & ~ (all_28_70 = e22)) | ( ~
% 49.59/12.31 | (all_28_61 = e21) & ~ (all_28_64 = e21) & ~ (all_28_67 = e21) &
% 49.59/12.31 | ~ (all_28_70 = e21)) | ( ~ (all_28_61 = e20) & ~ (all_28_64 =
% 49.59/12.31 | e20) & ~ (all_28_67 = e20) & ~ (all_28_70 = e20))) & ( ~
% 49.59/12.31 | (all_28_72 = all_28_73) | ~ (all_28_74 = all_28_75) | ~
% 49.59/12.31 | (all_28_76 = all_28_77) | ~ (all_28_78 = all_28_79) | ~
% 49.59/12.31 | (all_28_80 = all_28_81) | ~ (all_28_82 = all_28_83) | ~
% 49.59/12.31 | (all_28_84 = all_28_85) | ~ (all_28_86 = all_28_87) | ~
% 49.59/12.31 | (all_28_88 = all_28_89) | ~ (all_28_90 = all_28_91) | ~
% 49.59/12.31 | (all_28_92 = all_28_93) | ~ (all_28_94 = all_28_95) | ~
% 49.59/12.31 | (all_28_96 = all_28_98) | ~ (all_28_99 = all_28_101) | ~
% 49.59/12.31 | (all_28_102 = all_28_104) | ~ (all_28_105 = all_28_107) | ( ~
% 49.59/12.31 | (all_28_97 = e23) & ~ (all_28_100 = e23) & ~ (all_28_103 = e23)
% 49.59/12.31 | & ~ (all_28_106 = e23)) | ( ~ (all_28_97 = e22) & ~ (all_28_100
% 49.59/12.31 | = e22) & ~ (all_28_103 = e22) & ~ (all_28_106 = e22)) | ( ~
% 49.59/12.31 | (all_28_97 = e21) & ~ (all_28_100 = e21) & ~ (all_28_103 = e21)
% 49.59/12.31 | & ~ (all_28_106 = e21)) | ( ~ (all_28_97 = e20) & ~ (all_28_100
% 49.59/12.31 | = e20) & ~ (all_28_103 = e20) & ~ (all_28_106 = e20))) & ( ~
% 49.59/12.31 | (all_28_108 = all_28_109) | ~ (all_28_111 = all_28_112) | ~
% 49.59/12.31 | (all_28_114 = all_28_115) | ~ (all_28_117 = all_28_118) | ~
% 49.59/12.31 | (all_28_120 = all_28_121) | ~ (all_28_123 = all_28_124) | ~
% 49.59/12.31 | (all_28_126 = all_28_127) | ~ (all_28_129 = all_28_130) | ~
% 49.59/12.31 | (all_28_132 = all_28_133) | ~ (all_28_135 = all_28_136) | ~
% 49.59/12.31 | (all_28_138 = all_28_139) | ~ (all_28_141 = all_28_142) | ~
% 49.59/12.31 | (all_28_144 = all_28_146) | ~ (all_28_148 = all_28_150) | ~
% 49.59/12.31 | (all_28_152 = all_28_154) | ~ (all_28_156 = all_28_158) | ( ~
% 49.59/12.31 | (all_28_145 = e23) & ~ (all_28_149 = e23) & ~ (all_28_153 =
% 49.59/12.31 | e23) & ~ (all_28_157 = e23)) | ( ~ (all_28_145 = e22) & ~
% 49.59/12.31 | (all_28_149 = e22) & ~ (all_28_153 = e22) & ~ (all_28_157 =
% 49.59/12.31 | e22)) | ( ~ (all_28_145 = e21) & ~ (all_28_149 = e21) & ~
% 49.59/12.31 | (all_28_153 = e21) & ~ (all_28_157 = e21)) | ( ~ (all_28_145 =
% 49.59/12.31 | e20) & ~ (all_28_149 = e20) & ~ (all_28_153 = e20) & ~
% 49.59/12.31 | (all_28_157 = e20)))
% 49.59/12.31 |
% 49.59/12.31 | ALPHA: (379) implies:
% 49.59/12.31 | (380) op1(e10, e10) = all_28_159
% 49.59/12.31 | (381) op1(e10, e11) = all_28_155
% 49.59/12.31 | (382) op1(e10, e12) = all_28_151
% 49.59/12.31 | (383) op1(e10, e13) = all_28_147
% 49.59/12.31 | (384) op1(e11, e10) = all_28_143
% 49.59/12.31 | (385) op1(e11, e11) = all_28_140
% 49.59/12.31 | (386) op1(e11, e12) = all_28_137
% 49.59/12.31 | (387) op1(e11, e13) = all_28_134
% 49.59/12.31 | (388) op1(e12, e10) = all_28_131
% 49.59/12.31 | (389) op1(e12, e11) = all_28_128
% 49.59/12.31 | (390) op1(e12, e12) = all_28_125
% 49.59/12.31 | (391) op1(e12, e13) = all_28_122
% 49.59/12.31 | (392) op1(e13, e10) = all_28_119
% 49.59/12.31 | (393) op1(e13, e11) = all_28_116
% 49.59/12.31 | (394) op1(e13, e12) = all_28_113
% 49.59/12.31 | (395) op1(e13, e13) = all_28_110
% 49.59/12.31 | (396) op2(all_28_157, all_28_157) = all_28_156
% 49.59/12.31 | (397) op2(all_28_157, all_28_153) = all_28_152
% 49.59/12.31 | (398) op2(all_28_157, all_28_145) = all_28_144
% 49.59/12.31 | (399) op2(all_28_153, all_28_157) = all_28_141
% 49.59/12.31 | (400) op2(all_28_153, all_28_153) = all_28_138
% 49.59/12.31 | (401) op2(all_28_153, all_28_149) = all_28_135
% 49.59/12.31 | (402) op2(all_28_149, all_28_153) = all_28_126
% 49.59/12.31 | (403) op2(all_28_149, all_28_149) = all_28_123
% 49.59/12.31 | (404) op2(all_28_145, all_28_157) = all_28_117
% 49.59/12.31 | (405) op2(all_28_145, all_28_145) = all_28_108
% 49.59/12.31 | (406) op2(all_28_106, all_28_106) = all_28_105
% 49.59/12.31 | (407) op2(all_28_106, all_28_103) = all_28_102
% 49.59/12.31 | (408) op2(all_28_106, all_28_100) = all_28_99
% 49.59/12.31 | (409) op2(all_28_106, all_28_97) = all_28_96
% 49.59/12.31 | (410) op2(all_28_103, all_28_103) = all_28_92
% 49.59/12.31 | (411) op2(all_28_103, all_28_100) = all_28_90
% 49.59/12.31 | (412) op2(all_28_103, all_28_97) = all_28_88
% 49.59/12.31 | (413) op2(all_28_100, all_28_106) = all_28_86
% 49.59/12.31 | (414) op2(all_28_100, all_28_103) = all_28_84
% 49.59/12.31 | (415) op2(all_28_100, all_28_100) = all_28_82
% 49.59/12.31 | (416) op2(all_28_100, all_28_97) = all_28_80
% 49.59/12.31 | (417) op2(all_28_97, all_28_106) = all_28_78
% 49.59/12.31 | (418) op2(all_28_97, all_28_103) = all_28_76
% 49.59/12.31 | (419) op2(all_28_97, all_28_100) = all_28_74
% 49.59/12.31 | (420) op2(all_28_97, all_28_97) = all_28_72
% 49.59/12.31 | (421) op2(all_28_70, all_28_67) = all_28_66
% 49.59/12.31 | (422) op2(all_28_67, all_28_67) = all_28_56
% 49.59/12.31 | (423) op2(all_28_67, all_28_64) = all_28_54
% 49.59/12.31 | (424) op2(all_28_64, all_28_67) = all_28_48
% 49.59/12.31 | (425) op2(all_28_64, all_28_64) = all_28_46
% 49.59/12.31 | (426) op2(all_28_34, all_28_34) = all_28_33
% 49.59/12.31 | (427) op2(all_28_34, all_28_31) = all_28_30
% 49.59/12.31 | (428) op2(all_28_34, all_28_28) = all_28_27
% 49.59/12.31 | (429) op2(all_28_34, all_28_25) = all_28_24
% 49.59/12.31 | (430) op2(all_28_31, all_28_34) = all_28_22
% 49.59/12.31 | (431) op2(all_28_31, all_28_31) = all_28_20
% 49.59/12.31 | (432) op2(all_28_31, all_28_28) = all_28_18
% 49.59/12.31 | (433) op2(all_28_31, all_28_25) = all_28_16
% 49.59/12.31 | (434) op2(all_28_28, all_28_34) = all_28_14
% 49.59/12.31 | (435) op2(all_28_28, all_28_31) = all_28_12
% 49.59/12.31 | (436) op2(all_28_28, all_28_28) = all_28_10
% 49.59/12.31 | (437) op2(all_28_28, all_28_25) = all_28_8
% 49.59/12.31 | (438) op2(all_28_25, all_28_34) = all_28_6
% 49.59/12.32 | (439) op2(all_28_25, all_28_31) = all_28_4
% 49.59/12.32 | (440) op2(all_28_25, all_28_28) = all_28_2
% 49.59/12.32 | (441) op2(all_28_25, all_28_25) = all_28_0
% 49.59/12.32 | (442) h1(e10) = all_28_157
% 49.59/12.32 | (443) h1(e11) = all_28_153
% 49.59/12.32 | (444) h1(e12) = all_28_149
% 49.59/12.32 | (445) h1(e13) = all_28_145
% 49.59/12.32 | (446) h2(e10) = all_28_106
% 49.59/12.32 | (447) h2(e11) = all_28_103
% 49.59/12.32 | (448) h2(e12) = all_28_100
% 49.59/12.32 | (449) h2(e13) = all_28_97
% 49.59/12.32 | (450) h3(e10) = all_28_70
% 49.59/12.32 | (451) h3(e11) = all_28_67
% 49.59/12.32 | (452) h3(e12) = all_28_64
% 49.59/12.32 | (453) h4(e10) = all_28_34
% 49.59/12.32 | (454) h4(e11) = all_28_31
% 49.59/12.32 | (455) h4(e12) = all_28_28
% 49.59/12.32 | (456) h4(e13) = all_28_25
% 49.59/12.32 | (457) h4(all_28_159) = all_28_35
% 49.59/12.32 | (458) h4(all_28_155) = all_28_32
% 49.59/12.32 | (459) h4(all_28_151) = all_28_29
% 49.59/12.32 | (460) h4(all_28_147) = all_28_26
% 49.59/12.32 | (461) h4(all_28_143) = all_28_23
% 49.59/12.32 | (462) h4(all_28_140) = all_28_21
% 49.59/12.32 | (463) h4(all_28_137) = all_28_19
% 49.59/12.32 | (464) h4(all_28_134) = all_28_17
% 49.59/12.32 | (465) h4(all_28_131) = all_28_15
% 49.59/12.32 | (466) h4(all_28_128) = all_28_13
% 49.59/12.32 | (467) h4(all_28_125) = all_28_11
% 49.59/12.32 | (468) h4(all_28_122) = all_28_9
% 49.59/12.32 | (469) h4(all_28_119) = all_28_7
% 49.59/12.32 | (470) h4(all_28_116) = all_28_5
% 49.59/12.32 | (471) h4(all_28_113) = all_28_3
% 49.59/12.32 | (472) h4(all_28_110) = all_28_1
% 49.59/12.32 | (473) ~ (all_28_0 = all_28_1) | ~ (all_28_2 = all_28_3) | ~ (all_28_4 =
% 49.59/12.32 | all_28_5) | ~ (all_28_6 = all_28_7) | ~ (all_28_8 = all_28_9) |
% 49.59/12.32 | ~ (all_28_10 = all_28_11) | ~ (all_28_12 = all_28_13) | ~
% 49.59/12.32 | (all_28_14 = all_28_15) | ~ (all_28_16 = all_28_17) | ~ (all_28_18
% 49.59/12.32 | = all_28_19) | ~ (all_28_20 = all_28_21) | ~ (all_28_22 =
% 49.59/12.32 | all_28_23) | ~ (all_28_24 = all_28_26) | ~ (all_28_27 =
% 49.59/12.32 | all_28_29) | ~ (all_28_30 = all_28_32) | ~ (all_28_33 =
% 49.59/12.32 | all_28_35) | ( ~ (all_28_25 = e23) & ~ (all_28_28 = e23) & ~
% 49.59/12.32 | (all_28_31 = e23) & ~ (all_28_34 = e23)) | ( ~ (all_28_25 = e22) &
% 49.59/12.32 | ~ (all_28_28 = e22) & ~ (all_28_31 = e22) & ~ (all_28_34 = e22))
% 49.59/12.32 | | ( ~ (all_28_25 = e21) & ~ (all_28_28 = e21) & ~ (all_28_31 = e21)
% 49.59/12.32 | & ~ (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~ (all_28_28 =
% 49.59/12.32 | e20) & ~ (all_28_31 = e20) & ~ (all_28_34 = e20))
% 49.59/12.32 |
% 49.59/12.32 | GROUND_INST: instantiating (32) with all_16_31, all_26_15, e10, e10,
% 49.59/12.32 | simplifying with (191), (349) gives:
% 49.59/12.32 | (474) all_26_15 = all_16_31
% 49.59/12.32 |
% 49.59/12.32 | GROUND_INST: instantiating (32) with all_12_15, all_26_15, e10, e10,
% 49.59/12.32 | simplifying with (110), (349) gives:
% 49.59/12.32 | (475) all_26_15 = all_12_15
% 49.59/12.32 |
% 49.59/12.32 | GROUND_INST: instantiating (32) with all_26_15, all_28_159, e10, e10,
% 49.59/12.32 | simplifying with (349), (380) gives:
% 49.59/12.32 | (476) all_28_159 = all_26_15
% 49.59/12.32 |
% 49.59/12.32 | GROUND_INST: instantiating (32) with all_20_15, all_28_159, e10, e10,
% 49.59/12.32 | simplifying with (255), (380) gives:
% 49.59/12.32 | (477) all_28_159 = all_20_15
% 49.59/12.32 |
% 49.59/12.32 | GROUND_INST: instantiating (32) with all_20_14, all_26_14, e11, e10,
% 49.59/12.32 | simplifying with (256), (350) gives:
% 49.59/12.32 | (478) all_26_14 = all_20_14
% 49.59/12.32 |
% 49.59/12.32 | GROUND_INST: instantiating (32) with all_26_14, all_28_155, e11, e10,
% 49.59/12.32 | simplifying with (350), (381) gives:
% 49.59/12.32 | (479) all_28_155 = all_26_14
% 49.59/12.32 |
% 49.59/12.32 | GROUND_INST: instantiating (32) with all_12_11, all_28_155, e11, e10,
% 49.59/12.32 | simplifying with (111), (381) gives:
% 49.59/12.32 | (480) all_28_155 = all_12_11
% 49.59/12.32 |
% 49.59/12.32 | GROUND_INST: instantiating (32) with all_16_15, all_26_13, e12, e10,
% 49.59/12.32 | simplifying with (192), (351) gives:
% 49.59/12.32 | (481) all_26_13 = all_16_15
% 49.59/12.32 |
% 49.59/12.32 | GROUND_INST: instantiating (32) with all_12_7, all_26_13, e12, e10,
% 49.59/12.32 | simplifying with (112), (351) gives:
% 49.59/12.32 | (482) all_26_13 = all_12_7
% 49.59/12.32 |
% 49.59/12.32 | GROUND_INST: instantiating (32) with all_26_13, all_28_151, e12, e10,
% 49.59/12.32 | simplifying with (351), (382) gives:
% 49.59/12.32 | (483) all_28_151 = all_26_13
% 49.59/12.32 |
% 49.59/12.32 | GROUND_INST: instantiating (32) with all_20_13, all_28_151, e12, e10,
% 49.59/12.32 | simplifying with (257), (382) gives:
% 49.59/12.32 | (484) all_28_151 = all_20_13
% 49.59/12.32 |
% 49.59/12.32 | GROUND_INST: instantiating (32) with all_16_7, all_20_12, e13, e10,
% 49.59/12.32 | simplifying with (193), (258) gives:
% 49.59/12.32 | (485) all_20_12 = all_16_7
% 49.59/12.32 |
% 49.59/12.32 | GROUND_INST: instantiating (32) with all_20_12, all_26_12, e13, e10,
% 49.59/12.32 | simplifying with (258), (352) gives:
% 49.59/12.32 | (486) all_26_12 = all_20_12
% 49.59/12.32 |
% 49.59/12.33 | GROUND_INST: instantiating (32) with all_26_12, all_28_147, e13, e10,
% 49.59/12.33 | simplifying with (352), (383) gives:
% 49.59/12.33 | (487) all_28_147 = all_26_12
% 49.59/12.33 |
% 49.59/12.33 | GROUND_INST: instantiating (32) with all_12_3, all_28_147, e13, e10,
% 49.59/12.33 | simplifying with (113), (383) gives:
% 49.59/12.33 | (488) all_28_147 = all_12_3
% 49.59/12.33 |
% 49.59/12.33 | GROUND_INST: instantiating (32) with all_20_11, all_26_11, e10, e11,
% 49.59/12.33 | simplifying with (259), (353) gives:
% 49.59/12.33 | (489) all_26_11 = all_20_11
% 49.59/12.33 |
% 49.59/12.33 | GROUND_INST: instantiating (32) with all_12_14, all_26_11, e10, e11,
% 49.59/12.33 | simplifying with (114), (353) gives:
% 49.59/12.33 | (490) all_26_11 = all_12_14
% 49.59/12.33 |
% 49.59/12.33 | GROUND_INST: instantiating (32) with e13, all_26_11, e10, e11, simplifying
% 49.59/12.33 | with (17), (353) gives:
% 49.59/12.33 | (491) all_26_11 = e13
% 49.59/12.33 |
% 49.59/12.33 | GROUND_INST: instantiating (32) with all_26_11, all_28_143, e10, e11,
% 49.59/12.33 | simplifying with (353), (384) gives:
% 49.59/12.33 | (492) all_28_143 = all_26_11
% 49.59/12.33 |
% 49.59/12.33 | GROUND_INST: instantiating (32) with all_16_29, all_28_143, e10, e11,
% 49.59/12.33 | simplifying with (194), (384) gives:
% 49.59/12.33 | (493) all_28_143 = all_16_29
% 49.59/12.33 |
% 49.59/12.33 | GROUND_INST: instantiating (32) with all_12_10, all_16_21, e11, e11,
% 49.59/12.33 | simplifying with (115), (195) gives:
% 49.59/12.33 | (494) all_16_21 = all_12_10
% 49.59/12.33 |
% 49.59/12.33 | GROUND_INST: instantiating (32) with all_16_21, all_20_10, e11, e11,
% 49.59/12.33 | simplifying with (195), (260) gives:
% 49.59/12.33 | (495) all_20_10 = all_16_21
% 49.59/12.33 |
% 49.59/12.33 | GROUND_INST: instantiating (32) with all_26_8, all_28_140, e11, e11,
% 49.59/12.33 | simplifying with (354), (385) gives:
% 49.59/12.33 | (496) all_28_140 = all_26_8
% 49.59/12.33 |
% 49.59/12.33 | GROUND_INST: instantiating (32) with all_20_10, all_28_140, e11, e11,
% 49.59/12.33 | simplifying with (260), (385) gives:
% 49.59/12.33 | (497) all_28_140 = all_20_10
% 49.59/12.33 |
% 49.59/12.33 | GROUND_INST: instantiating (32) with e12, all_28_140, e11, e11, simplifying
% 49.59/12.33 | with (18), (385) gives:
% 49.59/12.33 | (498) all_28_140 = e12
% 49.59/12.33 |
% 49.59/12.33 | GROUND_INST: instantiating (32) with all_16_13, all_20_9, e12, e11,
% 49.59/12.33 | simplifying with (196), (261) gives:
% 49.59/12.33 | (499) all_20_9 = all_16_13
% 49.59/12.33 |
% 49.59/12.33 | GROUND_INST: instantiating (32) with all_20_9, all_26_7, e12, e11, simplifying
% 49.59/12.33 | with (261), (355) gives:
% 49.59/12.33 | (500) all_26_7 = all_20_9
% 49.59/12.33 |
% 49.59/12.33 | GROUND_INST: instantiating (32) with all_26_7, all_28_137, e12, e11,
% 49.59/12.33 | simplifying with (355), (386) gives:
% 49.59/12.33 | (501) all_28_137 = all_26_7
% 49.59/12.33 |
% 49.59/12.33 | GROUND_INST: instantiating (32) with all_12_6, all_28_137, e12, e11,
% 49.59/12.33 | simplifying with (116), (386) gives:
% 49.59/12.33 | (502) all_28_137 = all_12_6
% 49.59/12.33 |
% 49.59/12.33 | GROUND_INST: instantiating (32) with all_20_8, all_26_6, e13, e11, simplifying
% 49.59/12.33 | with (262), (356) gives:
% 49.59/12.33 | (503) all_26_6 = all_20_8
% 49.59/12.33 |
% 49.59/12.33 | GROUND_INST: instantiating (32) with all_16_5, all_26_6, e13, e11, simplifying
% 49.59/12.33 | with (197), (356) gives:
% 49.59/12.33 | (504) all_26_6 = all_16_5
% 49.59/12.33 |
% 49.59/12.33 | GROUND_INST: instantiating (32) with all_26_6, all_28_134, e13, e11,
% 49.59/12.33 | simplifying with (356), (387) gives:
% 49.59/12.33 | (505) all_28_134 = all_26_6
% 49.59/12.33 |
% 49.59/12.33 | GROUND_INST: instantiating (32) with all_12_2, all_28_134, e13, e11,
% 49.59/12.33 | simplifying with (117), (387) gives:
% 49.59/12.33 | (506) all_28_134 = all_12_2
% 49.59/12.33 |
% 49.59/12.33 | GROUND_INST: instantiating (32) with all_16_27, all_20_7, e10, e12,
% 49.59/12.33 | simplifying with (198), (263) gives:
% 49.59/12.33 | (507) all_20_7 = all_16_27
% 49.59/12.33 |
% 49.59/12.33 | GROUND_INST: instantiating (32) with all_20_7, all_26_10, e10, e12,
% 49.59/12.33 | simplifying with (263), (357) gives:
% 49.59/12.33 | (508) all_26_10 = all_20_7
% 49.59/12.33 |
% 49.59/12.33 | GROUND_INST: instantiating (32) with all_26_10, all_28_131, e10, e12,
% 49.59/12.33 | simplifying with (357), (388) gives:
% 49.59/12.33 | (509) all_28_131 = all_26_10
% 49.59/12.33 |
% 49.59/12.33 | GROUND_INST: instantiating (32) with all_12_13, all_28_131, e10, e12,
% 49.59/12.33 | simplifying with (118), (388) gives:
% 49.59/12.33 | (510) all_28_131 = all_12_13
% 49.59/12.33 |
% 49.59/12.33 | GROUND_INST: instantiating (32) with all_12_9, all_20_6, e11, e12, simplifying
% 49.59/12.33 | with (119), (264) gives:
% 49.59/12.33 | (511) all_20_6 = all_12_9
% 49.59/12.33 |
% 49.59/12.33 | GROUND_INST: instantiating (32) with e10, all_20_6, e11, e12, simplifying with
% 49.59/12.33 | (19), (264) gives:
% 49.59/12.33 | (512) all_20_6 = e10
% 49.59/12.33 |
% 49.59/12.33 | GROUND_INST: instantiating (32) with all_26_5, all_28_128, e11, e12,
% 49.59/12.33 | simplifying with (358), (389) gives:
% 49.59/12.33 | (513) all_28_128 = all_26_5
% 49.59/12.33 |
% 49.59/12.33 | GROUND_INST: instantiating (32) with all_20_6, all_28_128, e11, e12,
% 49.59/12.33 | simplifying with (264), (389) gives:
% 49.59/12.33 | (514) all_28_128 = all_20_6
% 49.59/12.33 |
% 49.59/12.33 | GROUND_INST: instantiating (32) with all_16_19, all_28_128, e11, e12,
% 49.59/12.33 | simplifying with (199), (389) gives:
% 49.59/12.33 | (515) all_28_128 = all_16_19
% 49.59/12.33 |
% 49.59/12.33 | GROUND_INST: instantiating (32) with all_16_11, all_20_5, e12, e12,
% 49.59/12.33 | simplifying with (200), (265) gives:
% 49.59/12.33 | (516) all_20_5 = all_16_11
% 49.59/12.33 |
% 49.59/12.33 | GROUND_INST: instantiating (32) with all_20_5, all_26_3, e12, e12, simplifying
% 49.59/12.33 | with (265), (359) gives:
% 49.59/12.33 | (517) all_26_3 = all_20_5
% 49.59/12.33 |
% 49.59/12.33 | GROUND_INST: instantiating (32) with all_26_3, all_28_125, e12, e12,
% 49.59/12.33 | simplifying with (359), (390) gives:
% 49.59/12.33 | (518) all_28_125 = all_26_3
% 49.59/12.33 |
% 49.59/12.34 | GROUND_INST: instantiating (32) with all_12_5, all_28_125, e12, e12,
% 49.59/12.34 | simplifying with (120), (390) gives:
% 49.59/12.34 | (519) all_28_125 = all_12_5
% 49.59/12.34 |
% 49.59/12.34 | GROUND_INST: instantiating (32) with all_20_4, all_26_2, e13, e12, simplifying
% 49.59/12.34 | with (266), (360) gives:
% 49.59/12.34 | (520) all_26_2 = all_20_4
% 49.59/12.34 |
% 49.59/12.34 | GROUND_INST: instantiating (32) with all_16_3, all_26_2, e13, e12, simplifying
% 49.59/12.34 | with (201), (360) gives:
% 49.59/12.34 | (521) all_26_2 = all_16_3
% 49.59/12.34 |
% 49.59/12.34 | GROUND_INST: instantiating (32) with all_26_2, all_28_122, e13, e12,
% 49.59/12.34 | simplifying with (360), (391) gives:
% 49.59/12.34 | (522) all_28_122 = all_26_2
% 49.59/12.34 |
% 49.59/12.34 | GROUND_INST: instantiating (32) with all_12_1, all_28_122, e13, e12,
% 49.59/12.34 | simplifying with (121), (391) gives:
% 49.59/12.34 | (523) all_28_122 = all_12_1
% 49.59/12.34 |
% 49.59/12.34 | GROUND_INST: instantiating (32) with all_16_25, all_20_3, e10, e13,
% 49.59/12.34 | simplifying with (202), (267) gives:
% 49.59/12.34 | (524) all_20_3 = all_16_25
% 49.59/12.34 |
% 49.59/12.34 | GROUND_INST: instantiating (32) with all_20_3, all_26_9, e10, e13, simplifying
% 49.59/12.34 | with (267), (361) gives:
% 49.59/12.34 | (525) all_26_9 = all_20_3
% 49.59/12.34 |
% 49.59/12.34 | GROUND_INST: instantiating (32) with all_26_9, all_28_119, e10, e13,
% 49.59/12.34 | simplifying with (361), (392) gives:
% 49.59/12.34 | (526) all_28_119 = all_26_9
% 49.59/12.34 |
% 49.59/12.34 | GROUND_INST: instantiating (32) with all_12_12, all_28_119, e10, e13,
% 49.59/12.34 | simplifying with (122), (392) gives:
% 49.59/12.34 | (527) all_28_119 = all_12_12
% 49.59/12.34 |
% 49.59/12.34 | GROUND_INST: instantiating (32) with all_26_4, all_28_116, e11, e13,
% 49.59/12.34 | simplifying with (362), (393) gives:
% 49.59/12.34 | (528) all_28_116 = all_26_4
% 49.59/12.34 |
% 49.59/12.34 | GROUND_INST: instantiating (32) with all_20_2, all_28_116, e11, e13,
% 49.59/12.34 | simplifying with (268), (393) gives:
% 49.59/12.34 | (529) all_28_116 = all_20_2
% 49.59/12.34 |
% 49.59/12.34 | GROUND_INST: instantiating (32) with all_12_8, all_28_116, e11, e13,
% 49.59/12.34 | simplifying with (123), (393) gives:
% 49.59/12.34 | (530) all_28_116 = all_12_8
% 49.59/12.34 |
% 49.59/12.34 | GROUND_INST: instantiating (32) with all_12_4, all_20_1, e12, e13, simplifying
% 49.59/12.34 | with (124), (269) gives:
% 49.59/12.34 | (531) all_20_1 = all_12_4
% 49.59/12.34 |
% 49.59/12.34 | GROUND_INST: instantiating (32) with all_20_1, all_26_1, e12, e13, simplifying
% 49.59/12.34 | with (269), (363) gives:
% 49.59/12.34 | (532) all_26_1 = all_20_1
% 49.59/12.34 |
% 49.59/12.34 | GROUND_INST: instantiating (32) with all_26_1, all_28_113, e12, e13,
% 49.59/12.34 | simplifying with (363), (394) gives:
% 49.59/12.34 | (533) all_28_113 = all_26_1
% 49.59/12.34 |
% 49.59/12.34 | GROUND_INST: instantiating (32) with all_16_9, all_28_113, e12, e13,
% 49.59/12.34 | simplifying with (203), (394) gives:
% 49.59/12.34 | (534) all_28_113 = all_16_9
% 49.59/12.34 |
% 49.59/12.34 | GROUND_INST: instantiating (32) with all_16_1, all_26_0, e13, e13, simplifying
% 49.59/12.34 | with (204), (364) gives:
% 49.59/12.34 | (535) all_26_0 = all_16_1
% 49.59/12.34 |
% 49.59/12.34 | GROUND_INST: instantiating (32) with all_26_0, all_28_110, e13, e13,
% 49.59/12.34 | simplifying with (364), (395) gives:
% 49.59/12.34 | (536) all_28_110 = all_26_0
% 49.59/12.34 |
% 49.59/12.34 | GROUND_INST: instantiating (32) with all_20_0, all_28_110, e13, e13,
% 49.59/12.34 | simplifying with (270), (395) gives:
% 49.59/12.34 | (537) all_28_110 = all_20_0
% 49.59/12.34 |
% 49.59/12.34 | GROUND_INST: instantiating (32) with all_12_0, all_28_110, e13, e13,
% 49.59/12.34 | simplifying with (125), (395) gives:
% 49.59/12.34 | (538) all_28_110 = all_12_0
% 49.59/12.34 |
% 49.59/12.34 | GROUND_INST: instantiating (33) with all_10_1, all_18_31, e20, e20,
% 49.59/12.34 | simplifying with (57), (221) gives:
% 49.59/12.34 | (539) all_18_31 = all_10_1
% 49.59/12.34 |
% 49.59/12.34 | GROUND_INST: instantiating (33) with all_18_31, all_22_15, e20, e20,
% 49.59/12.34 | simplifying with (221), (284) gives:
% 49.59/12.34 | (540) all_22_15 = all_18_31
% 49.59/12.34 |
% 49.59/12.34 | GROUND_INST: instantiating (33) with all_22_15, all_24_15, e20, e20,
% 49.59/12.34 | simplifying with (284), (314) gives:
% 49.59/12.34 | (541) all_24_15 = all_22_15
% 49.59/12.34 |
% 49.59/12.34 | GROUND_INST: instantiating (33) with all_14_15, all_24_15, e20, e20,
% 49.59/12.34 | simplifying with (174), (314) gives:
% 49.59/12.34 | (542) all_24_15 = all_14_15
% 49.59/12.34 |
% 49.59/12.34 | GROUND_INST: instantiating (33) with all_14_11, all_22_14, e21, e20,
% 49.59/12.34 | simplifying with (175), (285) gives:
% 49.59/12.34 | (543) all_22_14 = all_14_11
% 49.59/12.34 |
% 49.59/12.34 | GROUND_INST: instantiating (33) with all_22_14, all_24_14, e21, e20,
% 49.59/12.34 | simplifying with (285), (315) gives:
% 49.59/12.34 | (544) all_24_14 = all_22_14
% 49.59/12.34 |
% 49.59/12.34 | GROUND_INST: instantiating (33) with all_18_23, all_24_14, e21, e20,
% 49.59/12.34 | simplifying with (222), (315) gives:
% 49.59/12.34 | (545) all_24_14 = all_18_23
% 49.59/12.34 |
% 49.59/12.34 | GROUND_INST: instantiating (33) with all_14_7, all_22_13, e22, e20,
% 49.59/12.34 | simplifying with (176), (286) gives:
% 49.59/12.34 | (546) all_22_13 = all_14_7
% 49.59/12.34 |
% 49.75/12.35 | GROUND_INST: instantiating (33) with all_22_13, all_24_13, e22, e20,
% 49.75/12.35 | simplifying with (286), (316) gives:
% 49.75/12.35 | (547) all_24_13 = all_22_13
% 49.75/12.35 |
% 49.75/12.35 | GROUND_INST: instantiating (33) with all_18_15, all_24_13, e22, e20,
% 49.75/12.35 | simplifying with (223), (316) gives:
% 49.75/12.35 | (548) all_24_13 = all_18_15
% 49.75/12.35 |
% 49.75/12.35 | GROUND_INST: instantiating (33) with all_18_7, all_22_12, e23, e20,
% 49.75/12.35 | simplifying with (224), (287) gives:
% 49.75/12.35 | (549) all_22_12 = all_18_7
% 49.75/12.35 |
% 49.75/12.35 | GROUND_INST: instantiating (33) with all_22_12, all_24_12, e23, e20,
% 49.75/12.36 | simplifying with (287), (317) gives:
% 49.75/12.36 | (550) all_24_12 = all_22_12
% 49.75/12.36 |
% 49.75/12.36 | GROUND_INST: instantiating (33) with all_14_3, all_24_12, e23, e20,
% 49.75/12.36 | simplifying with (177), (317) gives:
% 49.75/12.36 | (551) all_24_12 = all_14_3
% 49.75/12.36 |
% 49.75/12.36 | GROUND_INST: instantiating (33) with all_18_29, all_22_11, e20, e21,
% 49.75/12.36 | simplifying with (225), (288) gives:
% 49.75/12.36 | (552) all_22_11 = all_18_29
% 49.75/12.36 |
% 49.75/12.36 | GROUND_INST: instantiating (33) with all_14_14, all_22_11, e20, e21,
% 49.75/12.37 | simplifying with (178), (288) gives:
% 49.75/12.37 | (553) all_22_11 = all_14_14
% 49.75/12.37 |
% 49.75/12.37 | GROUND_INST: instantiating (33) with all_22_11, all_24_11, e20, e21,
% 49.75/12.37 | simplifying with (288), (318) gives:
% 49.75/12.37 | (554) all_24_11 = all_22_11
% 49.75/12.37 |
% 49.75/12.37 | GROUND_INST: instantiating (33) with e23, all_24_11, e20, e21, simplifying
% 49.75/12.37 | with (20), (318) gives:
% 49.75/12.37 | (555) all_24_11 = e23
% 49.75/12.37 |
% 49.75/12.37 | GROUND_INST: instantiating (33) with all_14_10, all_18_21, e21, e21,
% 49.75/12.37 | simplifying with (179), (226) gives:
% 49.75/12.37 | (556) all_18_21 = all_14_10
% 49.75/12.37 |
% 49.75/12.37 | GROUND_INST: instantiating (33) with e22, all_18_21, e21, e21, simplifying
% 49.75/12.37 | with (21), (226) gives:
% 49.75/12.37 | (557) all_18_21 = e22
% 49.75/12.37 |
% 49.75/12.37 | GROUND_INST: instantiating (33) with all_22_10, all_24_8, e21, e21,
% 49.75/12.37 | simplifying with (289), (319) gives:
% 49.75/12.37 | (558) all_24_8 = all_22_10
% 49.75/12.37 |
% 49.75/12.37 | GROUND_INST: instantiating (33) with all_18_21, all_24_8, e21, e21,
% 49.75/12.37 | simplifying with (226), (319) gives:
% 49.75/12.37 | (559) all_24_8 = all_18_21
% 49.75/12.37 |
% 49.75/12.37 | GROUND_INST: instantiating (33) with all_4_1, all_24_8, e21, e21, simplifying
% 49.75/12.37 | with (35), (319) gives:
% 49.75/12.37 | (560) all_24_8 = all_4_1
% 49.75/12.37 |
% 49.75/12.37 | GROUND_INST: instantiating (33) with all_18_13, all_22_9, e22, e21,
% 49.75/12.37 | simplifying with (227), (290) gives:
% 49.75/12.37 | (561) all_22_9 = all_18_13
% 49.75/12.37 |
% 49.75/12.37 | GROUND_INST: instantiating (33) with all_22_9, all_24_7, e22, e21, simplifying
% 49.75/12.37 | with (290), (320) gives:
% 49.75/12.37 | (562) all_24_7 = all_22_9
% 49.75/12.37 |
% 49.75/12.37 | GROUND_INST: instantiating (33) with all_14_6, all_24_7, e22, e21, simplifying
% 49.75/12.37 | with (180), (320) gives:
% 49.75/12.37 | (563) all_24_7 = all_14_6
% 49.75/12.37 |
% 49.75/12.37 | GROUND_INST: instantiating (33) with all_18_5, all_22_8, e23, e21, simplifying
% 49.75/12.37 | with (228), (291) gives:
% 49.75/12.37 | (564) all_22_8 = all_18_5
% 49.75/12.37 |
% 49.75/12.37 | GROUND_INST: instantiating (33) with all_22_8, all_24_6, e23, e21, simplifying
% 49.75/12.37 | with (291), (321) gives:
% 49.75/12.37 | (565) all_24_6 = all_22_8
% 49.75/12.37 |
% 49.75/12.37 | GROUND_INST: instantiating (33) with all_14_2, all_24_6, e23, e21, simplifying
% 49.75/12.37 | with (181), (321) gives:
% 49.75/12.37 | (566) all_24_6 = all_14_2
% 49.75/12.37 |
% 49.75/12.37 | GROUND_INST: instantiating (33) with all_18_27, all_22_7, e20, e22,
% 49.75/12.37 | simplifying with (229), (292) gives:
% 49.75/12.37 | (567) all_22_7 = all_18_27
% 49.75/12.37 |
% 49.75/12.37 | GROUND_INST: instantiating (33) with all_22_7, all_24_10, e20, e22,
% 49.75/12.37 | simplifying with (292), (322) gives:
% 49.75/12.37 | (568) all_24_10 = all_22_7
% 49.75/12.37 |
% 49.75/12.37 | GROUND_INST: instantiating (33) with all_14_13, all_24_10, e20, e22,
% 49.75/12.37 | simplifying with (182), (322) gives:
% 49.75/12.37 | (569) all_24_10 = all_14_13
% 49.75/12.37 |
% 49.75/12.37 | GROUND_INST: instantiating (33) with all_14_9, all_18_19, e21, e22,
% 49.75/12.37 | simplifying with (183), (230) gives:
% 49.75/12.37 | (570) all_18_19 = all_14_9
% 49.75/12.37 |
% 49.75/12.37 | GROUND_INST: instantiating (33) with all_18_19, all_22_6, e21, e22,
% 49.75/12.37 | simplifying with (230), (293) gives:
% 49.75/12.37 | (571) all_22_6 = all_18_19
% 49.75/12.37 |
% 49.75/12.37 | GROUND_INST: instantiating (33) with all_22_6, all_24_5, e21, e22, simplifying
% 49.75/12.37 | with (293), (323) gives:
% 49.75/12.37 | (572) all_24_5 = all_22_6
% 49.75/12.37 |
% 49.75/12.37 | GROUND_INST: instantiating (33) with e20, all_24_5, e21, e22, simplifying with
% 49.75/12.37 | (22), (323) gives:
% 49.75/12.37 | (573) all_24_5 = e20
% 49.75/12.37 |
% 49.75/12.37 | GROUND_INST: instantiating (33) with all_14_5, all_18_11, e22, e22,
% 49.75/12.37 | simplifying with (184), (231) gives:
% 49.75/12.37 | (574) all_18_11 = all_14_5
% 49.75/12.37 |
% 49.75/12.37 | GROUND_INST: instantiating (33) with all_18_11, all_22_5, e22, e22,
% 49.75/12.37 | simplifying with (231), (294) gives:
% 49.75/12.37 | (575) all_22_5 = all_18_11
% 49.75/12.37 |
% 49.75/12.37 | GROUND_INST: instantiating (33) with all_22_5, all_24_3, e22, e22, simplifying
% 49.75/12.37 | with (294), (324) gives:
% 49.75/12.37 | (576) all_24_3 = all_22_5
% 49.75/12.37 |
% 49.75/12.37 | GROUND_INST: instantiating (33) with all_6_1, all_24_3, e22, e22, simplifying
% 49.75/12.37 | with (43), (324) gives:
% 49.75/12.37 | (577) all_24_3 = all_6_1
% 49.75/12.37 |
% 49.75/12.37 | GROUND_INST: instantiating (33) with all_22_4, all_24_2, e23, e22, simplifying
% 49.75/12.37 | with (295), (325) gives:
% 49.75/12.37 | (578) all_24_2 = all_22_4
% 49.75/12.37 |
% 49.75/12.37 | GROUND_INST: instantiating (33) with all_18_3, all_24_2, e23, e22, simplifying
% 49.75/12.37 | with (232), (325) gives:
% 49.75/12.37 | (579) all_24_2 = all_18_3
% 49.75/12.37 |
% 49.75/12.37 | GROUND_INST: instantiating (33) with all_14_1, all_24_2, e23, e22, simplifying
% 49.75/12.37 | with (185), (325) gives:
% 49.75/12.37 | (580) all_24_2 = all_14_1
% 49.75/12.37 |
% 49.75/12.37 | GROUND_INST: instantiating (33) with all_18_25, all_22_3, e20, e23,
% 49.75/12.37 | simplifying with (233), (296) gives:
% 49.75/12.37 | (581) all_22_3 = all_18_25
% 49.75/12.37 |
% 49.75/12.37 | GROUND_INST: instantiating (33) with all_22_3, all_24_9, e20, e23, simplifying
% 49.75/12.37 | with (296), (326) gives:
% 49.75/12.37 | (582) all_24_9 = all_22_3
% 49.75/12.37 |
% 49.75/12.37 | GROUND_INST: instantiating (33) with all_14_12, all_24_9, e20, e23,
% 49.75/12.37 | simplifying with (186), (326) gives:
% 49.75/12.37 | (583) all_24_9 = all_14_12
% 49.75/12.37 |
% 49.75/12.37 | GROUND_INST: instantiating (33) with all_14_8, all_22_2, e21, e23, simplifying
% 49.75/12.37 | with (187), (297) gives:
% 49.75/12.37 | (584) all_22_2 = all_14_8
% 49.75/12.37 |
% 49.75/12.37 | GROUND_INST: instantiating (33) with all_22_2, all_24_4, e21, e23, simplifying
% 49.75/12.37 | with (297), (327) gives:
% 49.75/12.37 | (585) all_24_4 = all_22_2
% 49.75/12.37 |
% 49.75/12.38 | GROUND_INST: instantiating (33) with all_18_17, all_24_4, e21, e23,
% 49.75/12.38 | simplifying with (234), (327) gives:
% 49.75/12.38 | (586) all_24_4 = all_18_17
% 49.75/12.38 |
% 49.75/12.38 | GROUND_INST: instantiating (33) with all_22_1, all_24_1, e22, e23, simplifying
% 49.75/12.38 | with (298), (328) gives:
% 49.75/12.38 | (587) all_24_1 = all_22_1
% 49.75/12.38 |
% 49.75/12.38 | GROUND_INST: instantiating (33) with all_18_9, all_24_1, e22, e23, simplifying
% 49.75/12.38 | with (235), (328) gives:
% 49.75/12.38 | (588) all_24_1 = all_18_9
% 49.75/12.38 |
% 49.75/12.38 | GROUND_INST: instantiating (33) with all_14_4, all_24_1, e22, e23, simplifying
% 49.75/12.38 | with (188), (328) gives:
% 49.75/12.38 | (589) all_24_1 = all_14_4
% 49.75/12.38 |
% 49.75/12.38 | GROUND_INST: instantiating (33) with all_14_0, all_18_1, e23, e23, simplifying
% 49.75/12.38 | with (189), (236) gives:
% 49.75/12.38 | (590) all_18_1 = all_14_0
% 49.75/12.38 |
% 49.75/12.38 | GROUND_INST: instantiating (33) with all_18_1, all_22_0, e23, e23, simplifying
% 49.75/12.38 | with (236), (299) gives:
% 49.75/12.38 | (591) all_22_0 = all_18_1
% 49.75/12.38 |
% 49.75/12.38 | GROUND_INST: instantiating (33) with all_22_0, all_24_0, e23, e23, simplifying
% 49.75/12.38 | with (299), (329) gives:
% 49.75/12.38 | (592) all_24_0 = all_22_0
% 49.75/12.38 |
% 49.75/12.38 | GROUND_INST: instantiating (33) with all_8_1, all_24_0, e23, e23, simplifying
% 49.75/12.38 | with (49), (329) gives:
% 49.75/12.38 | (593) all_24_0 = all_8_1
% 49.75/12.38 |
% 49.75/12.38 | GROUND_INST: instantiating (28) with all_10_2, all_28_157, e10, simplifying
% 49.75/12.38 | with (60), (442) gives:
% 49.75/12.38 | (594) all_28_157 = all_10_2
% 49.75/12.38 |
% 49.75/12.38 | GROUND_INST: instantiating (28) with e20, all_28_153, e11, simplifying with
% 49.75/12.38 | (61), (443) gives:
% 49.75/12.38 | (595) all_28_153 = e20
% 49.75/12.38 |
% 49.75/12.38 | GROUND_INST: instantiating (28) with all_10_1, all_28_149, e12, simplifying
% 49.75/12.38 | with (62), (444) gives:
% 49.75/12.38 | (596) all_28_149 = all_10_1
% 49.75/12.38 |
% 49.75/12.38 | GROUND_INST: instantiating (28) with all_10_0, all_28_145, e13, simplifying
% 49.75/12.38 | with (63), (445) gives:
% 49.75/12.38 | (597) all_28_145 = all_10_0
% 49.75/12.38 |
% 49.75/12.38 | GROUND_INST: instantiating (29) with all_4_2, all_28_106, e10, simplifying
% 49.75/12.38 | with (38), (446) gives:
% 49.75/12.38 | (598) all_28_106 = all_4_2
% 49.75/12.38 |
% 49.75/12.38 | GROUND_INST: instantiating (29) with e21, all_28_103, e11, simplifying with
% 49.75/12.38 | (39), (447) gives:
% 49.75/12.38 | (599) all_28_103 = e21
% 49.75/12.38 |
% 49.75/12.38 | GROUND_INST: instantiating (29) with all_4_1, all_28_100, e12, simplifying
% 49.75/12.38 | with (40), (448) gives:
% 49.75/12.38 | (600) all_28_100 = all_4_1
% 49.75/12.38 |
% 49.75/12.38 | GROUND_INST: instantiating (29) with all_4_0, all_28_97, e13, simplifying with
% 49.75/12.38 | (41), (449) gives:
% 49.75/12.38 | (601) all_28_97 = all_4_0
% 49.75/12.38 |
% 49.75/12.38 | GROUND_INST: instantiating (30) with all_6_2, all_28_70, e10, simplifying with
% 49.75/12.38 | (45), (450) gives:
% 49.75/12.38 | (602) all_28_70 = all_6_2
% 49.75/12.38 |
% 49.75/12.38 | GROUND_INST: instantiating (30) with e22, all_28_67, e11, simplifying with
% 49.75/12.38 | (46), (451) gives:
% 49.75/12.38 | (603) all_28_67 = e22
% 49.75/12.38 |
% 49.75/12.38 | GROUND_INST: instantiating (30) with all_6_1, all_28_64, e12, simplifying with
% 49.75/12.38 | (47), (452) gives:
% 49.75/12.38 | (604) all_28_64 = all_6_1
% 49.75/12.38 |
% 49.75/12.38 | GROUND_INST: instantiating (31) with all_8_2, all_28_34, e10, simplifying with
% 49.75/12.38 | (52), (453) gives:
% 49.75/12.38 | (605) all_28_34 = all_8_2
% 49.75/12.38 |
% 49.75/12.38 | GROUND_INST: instantiating (31) with e23, all_28_31, e11, simplifying with
% 49.75/12.38 | (53), (454) gives:
% 49.75/12.38 | (606) all_28_31 = e23
% 49.75/12.38 |
% 49.75/12.38 | GROUND_INST: instantiating (31) with all_8_1, all_28_28, e12, simplifying with
% 49.75/12.38 | (54), (455) gives:
% 49.75/12.38 | (607) all_28_28 = all_8_1
% 49.75/12.38 |
% 49.75/12.38 | GROUND_INST: instantiating (31) with all_8_0, all_28_25, e13, simplifying with
% 49.75/12.38 | (55), (456) gives:
% 49.75/12.38 | (608) all_28_25 = all_8_0
% 49.75/12.38 |
% 49.75/12.38 | COMBINE_EQS: (537), (538) imply:
% 49.75/12.38 | (609) all_20_0 = all_12_0
% 49.75/12.38 |
% 49.75/12.38 | COMBINE_EQS: (536), (537) imply:
% 49.75/12.38 | (610) all_26_0 = all_20_0
% 49.75/12.38 |
% 49.75/12.38 | SIMP: (610) implies:
% 49.75/12.38 | (611) all_26_0 = all_20_0
% 49.75/12.38 |
% 49.75/12.38 | COMBINE_EQS: (533), (534) imply:
% 49.75/12.38 | (612) all_26_1 = all_16_9
% 49.75/12.38 |
% 49.75/12.38 | SIMP: (612) implies:
% 49.75/12.38 | (613) all_26_1 = all_16_9
% 49.75/12.38 |
% 49.75/12.38 | COMBINE_EQS: (528), (530) imply:
% 49.75/12.38 | (614) all_26_4 = all_12_8
% 49.75/12.38 |
% 49.75/12.38 | COMBINE_EQS: (528), (529) imply:
% 49.75/12.38 | (615) all_26_4 = all_20_2
% 49.75/12.38 |
% 49.75/12.38 | COMBINE_EQS: (526), (527) imply:
% 49.75/12.38 | (616) all_26_9 = all_12_12
% 49.75/12.38 |
% 49.75/12.38 | SIMP: (616) implies:
% 49.75/12.38 | (617) all_26_9 = all_12_12
% 49.75/12.38 |
% 49.75/12.38 | COMBINE_EQS: (522), (523) imply:
% 49.75/12.38 | (618) all_26_2 = all_12_1
% 49.75/12.38 |
% 49.75/12.38 | SIMP: (618) implies:
% 49.75/12.38 | (619) all_26_2 = all_12_1
% 49.75/12.38 |
% 49.75/12.38 | COMBINE_EQS: (518), (519) imply:
% 49.75/12.38 | (620) all_26_3 = all_12_5
% 49.75/12.38 |
% 49.75/12.38 | SIMP: (620) implies:
% 49.75/12.38 | (621) all_26_3 = all_12_5
% 49.75/12.38 |
% 49.75/12.38 | COMBINE_EQS: (513), (514) imply:
% 49.75/12.38 | (622) all_26_5 = all_20_6
% 49.75/12.38 |
% 49.75/12.38 | COMBINE_EQS: (513), (515) imply:
% 49.75/12.38 | (623) all_26_5 = all_16_19
% 49.75/12.38 |
% 49.75/12.38 | COMBINE_EQS: (509), (510) imply:
% 49.75/12.38 | (624) all_26_10 = all_12_13
% 49.75/12.38 |
% 49.75/12.38 | SIMP: (624) implies:
% 49.75/12.38 | (625) all_26_10 = all_12_13
% 49.75/12.38 |
% 49.75/12.38 | COMBINE_EQS: (505), (506) imply:
% 49.75/12.38 | (626) all_26_6 = all_12_2
% 49.75/12.38 |
% 49.75/12.38 | SIMP: (626) implies:
% 49.75/12.38 | (627) all_26_6 = all_12_2
% 49.75/12.38 |
% 49.75/12.38 | COMBINE_EQS: (501), (502) imply:
% 49.75/12.38 | (628) all_26_7 = all_12_6
% 49.75/12.38 |
% 49.75/12.38 | SIMP: (628) implies:
% 49.75/12.38 | (629) all_26_7 = all_12_6
% 49.75/12.38 |
% 49.75/12.38 | COMBINE_EQS: (496), (497) imply:
% 49.75/12.38 | (630) all_26_8 = all_20_10
% 49.75/12.38 |
% 49.75/12.38 | COMBINE_EQS: (496), (498) imply:
% 49.75/12.38 | (631) all_26_8 = e12
% 49.75/12.38 |
% 49.75/12.38 | COMBINE_EQS: (492), (493) imply:
% 49.75/12.38 | (632) all_26_11 = all_16_29
% 49.75/12.38 |
% 49.75/12.38 | SIMP: (632) implies:
% 49.75/12.38 | (633) all_26_11 = all_16_29
% 49.75/12.38 |
% 49.75/12.38 | COMBINE_EQS: (487), (488) imply:
% 49.75/12.38 | (634) all_26_12 = all_12_3
% 49.75/12.38 |
% 49.75/12.38 | SIMP: (634) implies:
% 49.75/12.38 | (635) all_26_12 = all_12_3
% 49.75/12.38 |
% 49.75/12.38 | COMBINE_EQS: (483), (484) imply:
% 49.75/12.38 | (636) all_26_13 = all_20_13
% 49.75/12.38 |
% 49.75/12.38 | SIMP: (636) implies:
% 49.75/12.38 | (637) all_26_13 = all_20_13
% 49.75/12.38 |
% 49.75/12.38 | COMBINE_EQS: (479), (480) imply:
% 49.75/12.38 | (638) all_26_14 = all_12_11
% 49.75/12.38 |
% 49.75/12.38 | SIMP: (638) implies:
% 49.75/12.38 | (639) all_26_14 = all_12_11
% 49.75/12.38 |
% 49.75/12.38 | COMBINE_EQS: (476), (477) imply:
% 49.75/12.38 | (640) all_26_15 = all_20_15
% 49.75/12.38 |
% 49.75/12.38 | SIMP: (640) implies:
% 49.75/12.38 | (641) all_26_15 = all_20_15
% 49.75/12.38 |
% 49.75/12.38 | COMBINE_EQS: (535), (611) imply:
% 49.75/12.38 | (642) all_20_0 = all_16_1
% 49.75/12.38 |
% 49.75/12.38 | SIMP: (642) implies:
% 49.75/12.38 | (643) all_20_0 = all_16_1
% 49.75/12.38 |
% 49.75/12.38 | COMBINE_EQS: (532), (613) imply:
% 49.75/12.38 | (644) all_20_1 = all_16_9
% 49.75/12.38 |
% 49.75/12.38 | SIMP: (644) implies:
% 49.75/12.38 | (645) all_20_1 = all_16_9
% 49.75/12.38 |
% 49.75/12.38 | COMBINE_EQS: (520), (619) imply:
% 49.75/12.38 | (646) all_20_4 = all_12_1
% 49.75/12.38 |
% 49.75/12.38 | COMBINE_EQS: (520), (521) imply:
% 49.75/12.38 | (647) all_20_4 = all_16_3
% 49.75/12.38 |
% 49.75/12.38 | COMBINE_EQS: (517), (621) imply:
% 49.75/12.38 | (648) all_20_5 = all_12_5
% 49.75/12.38 |
% 49.75/12.38 | SIMP: (648) implies:
% 49.75/12.38 | (649) all_20_5 = all_12_5
% 49.75/12.38 |
% 49.75/12.38 | COMBINE_EQS: (614), (615) imply:
% 49.75/12.38 | (650) all_20_2 = all_12_8
% 49.75/12.38 |
% 49.75/12.38 | SIMP: (650) implies:
% 49.75/12.38 | (651) all_20_2 = all_12_8
% 49.75/12.38 |
% 49.75/12.38 | COMBINE_EQS: (622), (623) imply:
% 49.75/12.38 | (652) all_20_6 = all_16_19
% 49.75/12.38 |
% 49.75/12.38 | SIMP: (652) implies:
% 49.75/12.38 | (653) all_20_6 = all_16_19
% 49.75/12.38 |
% 49.75/12.38 | COMBINE_EQS: (503), (504) imply:
% 49.75/12.38 | (654) all_20_8 = all_16_5
% 49.75/12.38 |
% 49.75/12.38 | COMBINE_EQS: (503), (627) imply:
% 49.75/12.38 | (655) all_20_8 = all_12_2
% 49.75/12.38 |
% 49.75/12.38 | COMBINE_EQS: (500), (629) imply:
% 49.75/12.38 | (656) all_20_9 = all_12_6
% 49.75/12.38 |
% 49.75/12.38 | SIMP: (656) implies:
% 49.75/12.38 | (657) all_20_9 = all_12_6
% 49.75/12.38 |
% 49.75/12.38 | COMBINE_EQS: (630), (631) imply:
% 49.75/12.38 | (658) all_20_10 = e12
% 49.75/12.38 |
% 49.75/12.38 | SIMP: (658) implies:
% 49.75/12.38 | (659) all_20_10 = e12
% 49.75/12.38 |
% 49.75/12.38 | COMBINE_EQS: (525), (617) imply:
% 49.75/12.38 | (660) all_20_3 = all_12_12
% 49.75/12.38 |
% 49.75/12.38 | SIMP: (660) implies:
% 49.75/12.38 | (661) all_20_3 = all_12_12
% 49.75/12.38 |
% 49.75/12.38 | COMBINE_EQS: (508), (625) imply:
% 49.75/12.38 | (662) all_20_7 = all_12_13
% 49.75/12.38 |
% 49.75/12.38 | SIMP: (662) implies:
% 49.75/12.38 | (663) all_20_7 = all_12_13
% 49.75/12.38 |
% 49.75/12.38 | COMBINE_EQS: (489), (491) imply:
% 49.75/12.38 | (664) all_20_11 = e13
% 49.75/12.38 |
% 49.75/12.38 | COMBINE_EQS: (489), (490) imply:
% 49.75/12.38 | (665) all_20_11 = all_12_14
% 49.75/12.38 |
% 49.75/12.38 | COMBINE_EQS: (489), (633) imply:
% 49.75/12.38 | (666) all_20_11 = all_16_29
% 49.75/12.38 |
% 49.75/12.38 | COMBINE_EQS: (486), (635) imply:
% 49.75/12.38 | (667) all_20_12 = all_12_3
% 49.75/12.38 |
% 49.75/12.38 | SIMP: (667) implies:
% 49.75/12.38 | (668) all_20_12 = all_12_3
% 49.75/12.38 |
% 49.75/12.38 | COMBINE_EQS: (482), (637) imply:
% 49.75/12.38 | (669) all_20_13 = all_12_7
% 49.75/12.38 |
% 49.75/12.38 | COMBINE_EQS: (481), (637) imply:
% 49.75/12.38 | (670) all_20_13 = all_16_15
% 49.75/12.38 |
% 49.75/12.38 | COMBINE_EQS: (478), (639) imply:
% 49.75/12.38 | (671) all_20_14 = all_12_11
% 49.75/12.38 |
% 49.75/12.38 | COMBINE_EQS: (474), (641) imply:
% 49.75/12.38 | (672) all_20_15 = all_16_31
% 49.75/12.38 |
% 49.75/12.38 | COMBINE_EQS: (475), (641) imply:
% 49.75/12.38 | (673) all_20_15 = all_12_15
% 49.75/12.38 |
% 49.75/12.38 | COMBINE_EQS: (592), (593) imply:
% 49.75/12.38 | (674) all_22_0 = all_8_1
% 49.75/12.38 |
% 49.75/12.38 | SIMP: (674) implies:
% 49.75/12.38 | (675) all_22_0 = all_8_1
% 49.75/12.38 |
% 49.75/12.38 | COMBINE_EQS: (587), (589) imply:
% 49.75/12.38 | (676) all_22_1 = all_14_4
% 49.75/12.38 |
% 49.75/12.38 | COMBINE_EQS: (587), (588) imply:
% 49.75/12.38 | (677) all_22_1 = all_18_9
% 49.75/12.38 |
% 49.75/12.38 | COMBINE_EQS: (578), (579) imply:
% 49.75/12.38 | (678) all_22_4 = all_18_3
% 49.75/12.38 |
% 49.75/12.38 | COMBINE_EQS: (578), (580) imply:
% 49.75/12.38 | (679) all_22_4 = all_14_1
% 49.75/12.38 |
% 49.75/12.38 | COMBINE_EQS: (576), (577) imply:
% 49.75/12.38 | (680) all_22_5 = all_6_1
% 49.75/12.38 |
% 49.75/12.38 | SIMP: (680) implies:
% 49.75/12.38 | (681) all_22_5 = all_6_1
% 49.75/12.38 |
% 49.75/12.38 | COMBINE_EQS: (585), (586) imply:
% 49.75/12.38 | (682) all_22_2 = all_18_17
% 49.75/12.38 |
% 49.75/12.38 | SIMP: (682) implies:
% 49.75/12.38 | (683) all_22_2 = all_18_17
% 49.75/12.40 |
% 49.75/12.40 | COMBINE_EQS: (572), (573) imply:
% 49.75/12.40 | (684) all_22_6 = e20
% 49.75/12.40 |
% 49.75/12.40 | SIMP: (684) implies:
% 49.75/12.40 | (685) all_22_6 = e20
% 49.75/12.40 |
% 49.75/12.40 | COMBINE_EQS: (565), (566) imply:
% 49.75/12.40 | (686) all_22_8 = all_14_2
% 49.75/12.40 |
% 49.75/12.40 | SIMP: (686) implies:
% 49.75/12.40 | (687) all_22_8 = all_14_2
% 49.75/12.40 |
% 49.75/12.40 | COMBINE_EQS: (562), (563) imply:
% 49.75/12.40 | (688) all_22_9 = all_14_6
% 49.75/12.40 |
% 49.75/12.40 | SIMP: (688) implies:
% 49.75/12.40 | (689) all_22_9 = all_14_6
% 49.75/12.40 |
% 49.75/12.40 | COMBINE_EQS: (558), (560) imply:
% 49.75/12.40 | (690) all_22_10 = all_4_1
% 49.75/12.40 |
% 49.75/12.40 | COMBINE_EQS: (558), (559) imply:
% 49.75/12.40 | (691) all_22_10 = all_18_21
% 49.75/12.40 |
% 49.75/12.40 | COMBINE_EQS: (582), (583) imply:
% 49.75/12.40 | (692) all_22_3 = all_14_12
% 49.75/12.40 |
% 49.75/12.40 | SIMP: (692) implies:
% 49.75/12.40 | (693) all_22_3 = all_14_12
% 49.75/12.40 |
% 49.75/12.40 | COMBINE_EQS: (568), (569) imply:
% 49.75/12.40 | (694) all_22_7 = all_14_13
% 49.75/12.40 |
% 49.75/12.40 | SIMP: (694) implies:
% 49.75/12.40 | (695) all_22_7 = all_14_13
% 49.75/12.40 |
% 49.75/12.40 | COMBINE_EQS: (554), (555) imply:
% 49.75/12.40 | (696) all_22_11 = e23
% 49.75/12.40 |
% 49.75/12.40 | SIMP: (696) implies:
% 49.75/12.40 | (697) all_22_11 = e23
% 49.75/12.40 |
% 49.75/12.40 | COMBINE_EQS: (550), (551) imply:
% 49.75/12.40 | (698) all_22_12 = all_14_3
% 49.75/12.40 |
% 49.75/12.40 | SIMP: (698) implies:
% 49.75/12.40 | (699) all_22_12 = all_14_3
% 49.75/12.40 |
% 49.75/12.40 | COMBINE_EQS: (547), (548) imply:
% 49.75/12.40 | (700) all_22_13 = all_18_15
% 49.75/12.40 |
% 49.75/12.40 | SIMP: (700) implies:
% 49.75/12.40 | (701) all_22_13 = all_18_15
% 49.75/12.40 |
% 49.75/12.40 | COMBINE_EQS: (544), (545) imply:
% 49.75/12.40 | (702) all_22_14 = all_18_23
% 49.75/12.40 |
% 49.75/12.40 | SIMP: (702) implies:
% 49.75/12.40 | (703) all_22_14 = all_18_23
% 49.75/12.40 |
% 49.75/12.40 | COMBINE_EQS: (541), (542) imply:
% 49.75/12.40 | (704) all_22_15 = all_14_15
% 49.75/12.40 |
% 49.75/12.40 | SIMP: (704) implies:
% 49.75/12.40 | (705) all_22_15 = all_14_15
% 49.75/12.40 |
% 49.75/12.40 | COMBINE_EQS: (591), (675) imply:
% 49.75/12.40 | (706) all_18_1 = all_8_1
% 49.75/12.40 |
% 49.75/12.40 | SIMP: (706) implies:
% 49.75/12.40 | (707) all_18_1 = all_8_1
% 49.75/12.40 |
% 49.75/12.40 | COMBINE_EQS: (676), (677) imply:
% 49.75/12.40 | (708) all_18_9 = all_14_4
% 49.75/12.40 |
% 49.75/12.40 | COMBINE_EQS: (584), (683) imply:
% 49.75/12.40 | (709) all_18_17 = all_14_8
% 49.75/12.40 |
% 49.75/12.40 | COMBINE_EQS: (581), (693) imply:
% 49.75/12.40 | (710) all_18_25 = all_14_12
% 49.75/12.40 |
% 49.75/12.40 | COMBINE_EQS: (678), (679) imply:
% 49.75/12.40 | (711) all_18_3 = all_14_1
% 49.75/12.40 |
% 49.75/12.40 | COMBINE_EQS: (575), (681) imply:
% 49.75/12.40 | (712) all_18_11 = all_6_1
% 49.75/12.40 |
% 49.75/12.40 | SIMP: (712) implies:
% 49.75/12.40 | (713) all_18_11 = all_6_1
% 49.75/12.40 |
% 49.75/12.40 | COMBINE_EQS: (571), (685) imply:
% 49.75/12.40 | (714) all_18_19 = e20
% 49.75/12.40 |
% 49.75/12.40 | SIMP: (714) implies:
% 49.75/12.40 | (715) all_18_19 = e20
% 49.75/12.40 |
% 49.75/12.40 | COMBINE_EQS: (567), (695) imply:
% 49.75/12.40 | (716) all_18_27 = all_14_13
% 49.75/12.40 |
% 49.75/12.40 | COMBINE_EQS: (564), (687) imply:
% 49.75/12.40 | (717) all_18_5 = all_14_2
% 49.75/12.40 |
% 49.75/12.40 | COMBINE_EQS: (561), (689) imply:
% 49.75/12.40 | (718) all_18_13 = all_14_6
% 49.75/12.40 |
% 49.75/12.40 | COMBINE_EQS: (690), (691) imply:
% 49.75/12.40 | (719) all_18_21 = all_4_1
% 49.75/12.40 |
% 49.75/12.40 | SIMP: (719) implies:
% 49.75/12.40 | (720) all_18_21 = all_4_1
% 49.75/12.40 |
% 49.75/12.40 | COMBINE_EQS: (552), (553) imply:
% 49.75/12.40 | (721) all_18_29 = all_14_14
% 49.75/12.40 |
% 49.75/12.40 | COMBINE_EQS: (552), (697) imply:
% 49.75/12.40 | (722) all_18_29 = e23
% 49.75/12.40 |
% 49.75/12.40 | COMBINE_EQS: (549), (699) imply:
% 49.75/12.40 | (723) all_18_7 = all_14_3
% 49.75/12.40 |
% 49.75/12.40 | SIMP: (723) implies:
% 49.75/12.41 | (724) all_18_7 = all_14_3
% 49.75/12.41 |
% 49.75/12.41 | COMBINE_EQS: (546), (701) imply:
% 49.75/12.41 | (725) all_18_15 = all_14_7
% 49.75/12.41 |
% 49.75/12.41 | SIMP: (725) implies:
% 49.75/12.41 | (726) all_18_15 = all_14_7
% 49.75/12.41 |
% 49.75/12.41 | COMBINE_EQS: (543), (703) imply:
% 49.75/12.41 | (727) all_18_23 = all_14_11
% 49.75/12.41 |
% 49.75/12.41 | SIMP: (727) implies:
% 49.75/12.41 | (728) all_18_23 = all_14_11
% 49.75/12.41 |
% 49.75/12.41 | COMBINE_EQS: (540), (705) imply:
% 49.75/12.41 | (729) all_18_31 = all_14_15
% 49.75/12.41 |
% 49.75/12.41 | SIMP: (729) implies:
% 49.75/12.41 | (730) all_18_31 = all_14_15
% 49.75/12.41 |
% 49.75/12.41 | COMBINE_EQS: (609), (643) imply:
% 49.75/12.41 | (731) all_16_1 = all_12_0
% 49.75/12.41 |
% 49.75/12.41 | COMBINE_EQS: (531), (645) imply:
% 49.75/12.41 | (732) all_16_9 = all_12_4
% 49.75/12.41 |
% 49.75/12.41 | COMBINE_EQS: (524), (661) imply:
% 49.75/12.41 | (733) all_16_25 = all_12_12
% 49.75/12.41 |
% 49.75/12.41 | SIMP: (733) implies:
% 49.75/12.41 | (734) all_16_25 = all_12_12
% 49.75/12.41 |
% 49.75/12.41 | COMBINE_EQS: (646), (647) imply:
% 49.75/12.41 | (735) all_16_3 = all_12_1
% 49.75/12.41 |
% 49.75/12.41 | COMBINE_EQS: (516), (649) imply:
% 49.75/12.41 | (736) all_16_11 = all_12_5
% 49.75/12.41 |
% 49.75/12.41 | SIMP: (736) implies:
% 49.75/12.41 | (737) all_16_11 = all_12_5
% 49.75/12.41 |
% 49.75/12.41 | COMBINE_EQS: (512), (653) imply:
% 49.75/12.41 | (738) all_16_19 = e10
% 49.75/12.41 |
% 49.75/12.41 | COMBINE_EQS: (511), (653) imply:
% 49.75/12.41 | (739) all_16_19 = all_12_9
% 49.75/12.41 |
% 49.75/12.41 | COMBINE_EQS: (507), (663) imply:
% 49.75/12.41 | (740) all_16_27 = all_12_13
% 49.75/12.41 |
% 49.75/12.41 | SIMP: (740) implies:
% 49.75/12.41 | (741) all_16_27 = all_12_13
% 49.75/12.41 |
% 49.75/12.41 | COMBINE_EQS: (654), (655) imply:
% 49.75/12.41 | (742) all_16_5 = all_12_2
% 49.75/12.41 |
% 49.75/12.41 | COMBINE_EQS: (499), (657) imply:
% 49.75/12.41 | (743) all_16_13 = all_12_6
% 49.75/12.41 |
% 49.75/12.41 | SIMP: (743) implies:
% 49.75/12.41 | (744) all_16_13 = all_12_6
% 49.75/12.41 |
% 49.75/12.41 | COMBINE_EQS: (495), (659) imply:
% 49.75/12.41 | (745) all_16_21 = e12
% 49.75/12.41 |
% 49.75/12.41 | SIMP: (745) implies:
% 49.75/12.41 | (746) all_16_21 = e12
% 49.75/12.41 |
% 49.75/12.41 | COMBINE_EQS: (664), (666) imply:
% 49.75/12.41 | (747) all_16_29 = e13
% 49.75/12.41 |
% 49.75/12.41 | COMBINE_EQS: (665), (666) imply:
% 49.75/12.41 | (748) all_16_29 = all_12_14
% 49.75/12.41 |
% 49.75/12.41 | COMBINE_EQS: (485), (668) imply:
% 49.75/12.41 | (749) all_16_7 = all_12_3
% 49.75/12.41 |
% 49.75/12.41 | SIMP: (749) implies:
% 49.75/12.41 | (750) all_16_7 = all_12_3
% 49.75/12.41 |
% 49.75/12.41 | COMBINE_EQS: (669), (670) imply:
% 49.75/12.41 | (751) all_16_15 = all_12_7
% 49.75/12.41 |
% 49.75/12.41 | SIMP: (751) implies:
% 49.75/12.41 | (752) all_16_15 = all_12_7
% 49.75/12.41 |
% 49.75/12.41 | COMBINE_EQS: (672), (673) imply:
% 49.75/12.41 | (753) all_16_31 = all_12_15
% 49.75/12.41 |
% 49.75/12.41 | COMBINE_EQS: (590), (707) imply:
% 49.75/12.41 | (754) all_14_0 = all_8_1
% 49.75/12.41 |
% 49.75/12.41 | SIMP: (754) implies:
% 49.75/12.41 | (755) all_14_0 = all_8_1
% 49.75/12.41 |
% 49.75/12.41 | COMBINE_EQS: (574), (713) imply:
% 49.75/12.41 | (756) all_14_5 = all_6_1
% 49.75/12.41 |
% 49.75/12.41 | SIMP: (756) implies:
% 49.75/12.41 | (757) all_14_5 = all_6_1
% 49.75/12.41 |
% 49.75/12.41 | COMBINE_EQS: (570), (715) imply:
% 49.75/12.41 | (758) all_14_9 = e20
% 49.75/12.41 |
% 49.75/12.41 | SIMP: (758) implies:
% 49.75/12.41 | (759) all_14_9 = e20
% 49.75/12.41 |
% 49.75/12.41 | COMBINE_EQS: (556), (557) imply:
% 49.75/12.41 | (760) all_14_10 = e22
% 49.75/12.41 |
% 49.75/12.41 | COMBINE_EQS: (556), (720) imply:
% 49.75/12.41 | (761) all_14_10 = all_4_1
% 49.75/12.41 |
% 49.75/12.41 | COMBINE_EQS: (721), (722) imply:
% 49.75/12.41 | (762) all_14_14 = e23
% 49.75/12.41 |
% 49.75/12.41 | COMBINE_EQS: (539), (730) imply:
% 49.75/12.41 | (763) all_14_15 = all_10_1
% 49.75/12.41 |
% 49.75/12.41 | SIMP: (763) implies:
% 49.75/12.41 | (764) all_14_15 = all_10_1
% 49.75/12.41 |
% 49.75/12.41 | COMBINE_EQS: (738), (739) imply:
% 49.75/12.41 | (765) all_12_9 = e10
% 49.75/12.41 |
% 49.75/12.41 | SIMP: (765) implies:
% 49.75/12.41 | (766) all_12_9 = e10
% 49.75/12.41 |
% 49.75/12.41 | COMBINE_EQS: (494), (746) imply:
% 49.75/12.41 | (767) all_12_10 = e12
% 49.75/12.41 |
% 49.75/12.41 | COMBINE_EQS: (747), (748) imply:
% 49.75/12.41 | (768) all_12_14 = e13
% 49.75/12.41 |
% 49.75/12.41 | COMBINE_EQS: (760), (761) imply:
% 49.75/12.41 | (769) all_4_1 = e22
% 49.75/12.41 |
% 49.75/12.41 | COMBINE_EQS: (705), (764) imply:
% 49.75/12.41 | (770) all_22_15 = all_10_1
% 49.75/12.41 |
% 49.75/12.41 | COMBINE_EQS: (690), (769) imply:
% 49.75/12.41 | (771) all_22_10 = e22
% 49.75/12.41 |
% 49.75/12.41 | COMBINE_EQS: (542), (764) imply:
% 49.75/12.41 | (772) all_24_15 = all_10_1
% 49.75/12.41 |
% 49.75/12.41 | COMBINE_EQS: (545), (728) imply:
% 49.75/12.41 | (773) all_24_14 = all_14_11
% 49.75/12.41 |
% 49.75/12.41 | COMBINE_EQS: (548), (726) imply:
% 49.75/12.41 | (774) all_24_13 = all_14_7
% 49.75/12.41 |
% 49.75/12.41 | COMBINE_EQS: (558), (771) imply:
% 49.75/12.41 | (775) all_24_8 = e22
% 49.75/12.41 |
% 49.75/12.41 | COMBINE_EQS: (586), (709) imply:
% 49.75/12.41 | (776) all_24_4 = all_14_8
% 49.75/12.41 |
% 49.75/12.41 | COMBINE_EQS: (623), (738) imply:
% 49.75/12.41 | (777) all_26_5 = e10
% 49.75/12.41 |
% 49.75/12.41 | COMBINE_EQS: (613), (732) imply:
% 49.75/12.41 | (778) all_26_1 = all_12_4
% 49.75/12.41 |
% 49.75/12.41 | COMBINE_EQS: (535), (731) imply:
% 49.75/12.41 | (779) all_26_0 = all_12_0
% 49.75/12.41 |
% 49.75/12.41 | COMBINE_EQS: (477), (673) imply:
% 49.75/12.41 | (780) all_28_159 = all_12_15
% 49.75/12.41 |
% 49.75/12.42 | COMBINE_EQS: (484), (669) imply:
% 49.75/12.42 | (781) all_28_151 = all_12_7
% 49.75/12.42 |
% 49.75/12.42 | COMBINE_EQS: (493), (747) imply:
% 49.75/12.42 | (782) all_28_143 = e13
% 49.75/12.42 |
% 49.75/12.42 | COMBINE_EQS: (513), (777) imply:
% 49.75/12.42 | (783) all_28_128 = e10
% 49.75/12.42 |
% 49.75/12.42 | COMBINE_EQS: (534), (732) imply:
% 49.75/12.42 | (784) all_28_113 = all_12_4
% 49.75/12.42 |
% 49.75/12.42 | COMBINE_EQS: (600), (769) imply:
% 49.75/12.42 | (785) all_28_100 = e22
% 49.75/12.42 |
% 49.75/12.42 | REDUCE: (173), (755) imply:
% 49.75/12.42 | (786) ~ (all_14_1 = all_8_1)
% 49.75/12.42 |
% 49.75/12.42 | SIMP: (786) implies:
% 49.75/12.42 | (787) ~ (all_14_1 = all_8_1)
% 49.75/12.42 |
% 49.75/12.42 | REDUCE: (172), (755) imply:
% 49.75/12.42 | (788) ~ (all_14_2 = all_8_1)
% 49.75/12.42 |
% 49.75/12.42 | SIMP: (788) implies:
% 49.75/12.42 | (789) ~ (all_14_2 = all_8_1)
% 49.75/12.42 |
% 49.75/12.42 | REDUCE: (171), (755) imply:
% 49.75/12.42 | (790) ~ (all_14_3 = all_8_1)
% 49.75/12.42 |
% 49.75/12.42 | SIMP: (790) implies:
% 49.75/12.42 | (791) ~ (all_14_3 = all_8_1)
% 49.75/12.42 |
% 49.75/12.42 | REDUCE: (170), (755) imply:
% 50.14/12.42 | (792) ~ (all_14_4 = all_8_1)
% 50.14/12.42 |
% 50.14/12.42 | SIMP: (792) implies:
% 50.14/12.42 | (793) ~ (all_14_4 = all_8_1)
% 50.14/12.42 |
% 50.14/12.42 | REDUCE: (169), (755) imply:
% 50.14/12.42 | (794) ~ (all_14_8 = all_8_1)
% 50.14/12.42 |
% 50.14/12.42 | SIMP: (794) implies:
% 50.14/12.42 | (795) ~ (all_14_8 = all_8_1)
% 50.14/12.42 |
% 50.14/12.42 | REDUCE: (168), (755) imply:
% 50.14/12.42 | (796) ~ (all_14_12 = all_8_1)
% 50.14/12.42 |
% 50.14/12.42 | SIMP: (796) implies:
% 50.14/12.42 | (797) ~ (all_14_12 = all_8_1)
% 50.14/12.42 |
% 50.14/12.42 | REDUCE: (165), (757) imply:
% 50.14/12.42 | (798) ~ (all_14_1 = all_6_1)
% 50.14/12.42 |
% 50.14/12.42 | REDUCE: (164), (759) imply:
% 50.14/12.42 | (799) ~ (all_14_1 = e20)
% 50.14/12.42 |
% 50.14/12.42 | REDUCE: (160), (760) imply:
% 50.14/12.42 | (800) ~ (all_14_2 = e22)
% 50.14/12.42 |
% 50.14/12.42 | REDUCE: (159), (762) imply:
% 50.14/12.42 | (801) ~ (all_14_2 = e23)
% 50.14/12.42 |
% 50.14/12.42 | REDUCE: (156), (764) imply:
% 50.14/12.42 | (802) ~ (all_14_3 = all_10_1)
% 50.14/12.42 |
% 50.14/12.42 | REDUCE: (155), (757) imply:
% 50.14/12.42 | (803) ~ (all_14_4 = all_6_1)
% 50.14/12.42 |
% 50.14/12.42 | REDUCE: (150), (757) imply:
% 50.14/12.42 | (804) ~ (all_14_6 = all_6_1)
% 50.14/12.42 |
% 50.14/12.42 | SIMP: (804) implies:
% 50.14/12.42 | (805) ~ (all_14_6 = all_6_1)
% 50.14/12.42 |
% 50.14/12.42 | REDUCE: (149), (757) imply:
% 50.14/12.42 | (806) ~ (all_14_7 = all_6_1)
% 50.14/12.42 |
% 50.14/12.42 | SIMP: (806) implies:
% 50.14/12.42 | (807) ~ (all_14_7 = all_6_1)
% 50.14/12.42 |
% 50.14/12.42 | REDUCE: (148), (757), (759) imply:
% 50.14/12.42 | (808) ~ (all_6_1 = e20)
% 50.14/12.42 |
% 50.14/12.42 | REDUCE: (147), (757) imply:
% 50.14/12.42 | (809) ~ (all_14_13 = all_6_1)
% 50.14/12.42 |
% 50.14/12.42 | SIMP: (809) implies:
% 50.14/12.42 | (810) ~ (all_14_13 = all_6_1)
% 50.14/12.42 |
% 50.14/12.42 | REDUCE: (145), (760) imply:
% 50.14/12.42 | (811) ~ (all_14_6 = e22)
% 50.14/12.42 |
% 50.14/12.42 | REDUCE: (144), (762) imply:
% 50.14/12.42 | (812) ~ (all_14_6 = e23)
% 50.14/12.42 |
% 50.14/12.42 | REDUCE: (142), (764) imply:
% 50.14/12.42 | (813) ~ (all_14_7 = all_10_1)
% 50.14/12.42 |
% 50.14/12.42 | REDUCE: (141), (759) imply:
% 50.14/12.42 | (814) ~ (all_14_8 = e20)
% 50.14/12.42 |
% 50.14/12.42 | REDUCE: (140), (760) imply:
% 50.14/12.42 | (815) ~ (all_14_8 = e22)
% 50.14/12.42 |
% 50.14/12.42 | REDUCE: (137), (759), (760) imply:
% 50.14/12.42 | (816) ~ (e22 = e20)
% 50.14/12.42 |
% 50.14/12.42 | SIMP: (816) implies:
% 50.14/12.42 | (817) ~ (e22 = e20)
% 50.14/12.42 |
% 50.14/12.42 | REDUCE: (136), (759) imply:
% 50.14/12.42 | (818) ~ (all_14_11 = e20)
% 50.14/12.42 |
% 50.14/12.42 | SIMP: (818) implies:
% 50.14/12.42 | (819) ~ (all_14_11 = e20)
% 50.14/12.42 |
% 50.14/12.42 | REDUCE: (135), (759) imply:
% 50.14/12.42 | (820) ~ (all_14_13 = e20)
% 50.14/12.42 |
% 50.14/12.42 | SIMP: (820) implies:
% 50.14/12.42 | (821) ~ (all_14_13 = e20)
% 50.14/12.42 |
% 50.14/12.42 | REDUCE: (134), (760) imply:
% 50.14/12.42 | (822) ~ (all_14_11 = e22)
% 50.14/12.42 |
% 50.14/12.42 | SIMP: (822) implies:
% 50.14/12.42 | (823) ~ (all_14_11 = e22)
% 50.14/12.42 |
% 50.14/12.42 | REDUCE: (133), (764) imply:
% 50.14/12.42 | (824) ~ (all_14_11 = all_10_1)
% 50.14/12.42 |
% 50.14/12.42 | REDUCE: (131), (762) imply:
% 50.14/12.42 | (825) ~ (all_14_12 = e23)
% 50.14/12.42 |
% 50.14/12.42 | REDUCE: (130), (764) imply:
% 50.14/12.42 | (826) ~ (all_14_12 = all_10_1)
% 50.14/12.42 |
% 50.14/12.42 | REDUCE: (129), (762) imply:
% 50.14/12.42 | (827) ~ (all_14_13 = e23)
% 50.14/12.42 |
% 50.14/12.42 | REDUCE: (128), (764) imply:
% 50.14/12.42 | (828) ~ (all_14_13 = all_10_1)
% 50.14/12.42 |
% 50.14/12.42 | REDUCE: (127), (762), (764) imply:
% 50.14/12.42 | (829) ~ (all_10_1 = e23)
% 50.14/12.42 |
% 50.14/12.42 | SIMP: (829) implies:
% 50.14/12.42 | (830) ~ (all_10_1 = e23)
% 50.14/12.42 |
% 50.14/12.42 | REDUCE: (102), (766) imply:
% 50.14/12.42 | (831) ~ (all_12_1 = e10)
% 50.14/12.42 |
% 50.14/12.42 | REDUCE: (98), (767) imply:
% 50.14/12.42 | (832) ~ (all_12_2 = e12)
% 50.14/12.42 |
% 50.14/12.42 | REDUCE: (97), (768) imply:
% 50.14/12.42 | (833) ~ (all_12_2 = e13)
% 50.14/12.42 |
% 50.14/12.42 | REDUCE: (86), (766) imply:
% 50.14/12.42 | (834) ~ (all_12_5 = e10)
% 50.14/12.42 |
% 50.14/12.42 | REDUCE: (83), (767) imply:
% 50.14/12.42 | (835) ~ (all_12_6 = e12)
% 50.14/12.42 |
% 50.14/12.42 | REDUCE: (82), (768) imply:
% 50.14/12.43 | (836) ~ (all_12_6 = e13)
% 50.14/12.43 |
% 50.14/12.43 | REDUCE: (79), (766) imply:
% 50.14/12.43 | (837) ~ (all_12_8 = e10)
% 50.14/12.43 |
% 50.14/12.43 | REDUCE: (78), (767) imply:
% 50.14/12.43 | (838) ~ (all_12_8 = e12)
% 50.14/12.43 |
% 50.14/12.43 | REDUCE: (75), (766), (767) imply:
% 50.14/12.43 | (839) ~ (e12 = e10)
% 50.14/12.43 |
% 50.14/12.43 | SIMP: (839) implies:
% 50.14/12.43 | (840) ~ (e12 = e10)
% 50.14/12.43 |
% 50.14/12.43 | REDUCE: (74), (766) imply:
% 50.14/12.43 | (841) ~ (all_12_11 = e10)
% 50.14/12.43 |
% 50.14/12.43 | SIMP: (841) implies:
% 50.14/12.43 | (842) ~ (all_12_11 = e10)
% 50.14/12.43 |
% 50.14/12.43 | REDUCE: (73), (766) imply:
% 50.14/12.43 | (843) ~ (all_12_13 = e10)
% 50.14/12.43 |
% 50.14/12.43 | SIMP: (843) implies:
% 50.14/12.43 | (844) ~ (all_12_13 = e10)
% 50.14/12.43 |
% 50.14/12.43 | REDUCE: (72), (767) imply:
% 50.14/12.43 | (845) ~ (all_12_11 = e12)
% 50.14/12.43 |
% 50.14/12.43 | SIMP: (845) implies:
% 50.14/12.43 | (846) ~ (all_12_11 = e12)
% 50.14/12.43 |
% 50.14/12.43 | REDUCE: (69), (768) imply:
% 50.14/12.43 | (847) ~ (all_12_12 = e13)
% 50.14/12.43 |
% 50.14/12.43 | REDUCE: (67), (768) imply:
% 50.14/12.43 | (848) ~ (all_12_13 = e13)
% 50.14/12.43 |
% 50.14/12.43 | REDUCE: (65), (768) imply:
% 50.14/12.43 | (849) ~ (all_12_15 = e13)
% 50.14/12.43 |
% 50.14/12.43 | SIMP: (849) implies:
% 50.14/12.43 | (850) ~ (all_12_15 = e13)
% 50.14/12.43 |
% 50.14/12.43 | REDUCE: (472), (538) imply:
% 50.14/12.43 | (851) h4(all_12_0) = all_28_1
% 50.14/12.43 |
% 50.14/12.43 | REDUCE: (471), (784) imply:
% 50.14/12.43 | (852) h4(all_12_4) = all_28_3
% 50.14/12.43 |
% 50.14/12.43 | REDUCE: (470), (530) imply:
% 50.14/12.43 | (853) h4(all_12_8) = all_28_5
% 50.14/12.43 |
% 50.14/12.43 | REDUCE: (469), (527) imply:
% 50.14/12.43 | (854) h4(all_12_12) = all_28_7
% 50.14/12.43 |
% 50.14/12.43 | REDUCE: (468), (523) imply:
% 50.14/12.43 | (855) h4(all_12_1) = all_28_9
% 50.14/12.43 |
% 50.14/12.43 | REDUCE: (467), (519) imply:
% 50.14/12.43 | (856) h4(all_12_5) = all_28_11
% 50.14/12.43 |
% 50.14/12.43 | REDUCE: (466), (783) imply:
% 50.14/12.43 | (857) h4(e10) = all_28_13
% 50.14/12.43 |
% 50.14/12.43 | REDUCE: (465), (510) imply:
% 50.14/12.43 | (858) h4(all_12_13) = all_28_15
% 50.14/12.43 |
% 50.14/12.43 | REDUCE: (464), (506) imply:
% 50.14/12.43 | (859) h4(all_12_2) = all_28_17
% 50.14/12.43 |
% 50.14/12.43 | REDUCE: (463), (502) imply:
% 50.14/12.43 | (860) h4(all_12_6) = all_28_19
% 50.14/12.43 |
% 50.14/12.43 | REDUCE: (462), (498) imply:
% 50.14/12.43 | (861) h4(e12) = all_28_21
% 50.14/12.43 |
% 50.14/12.43 | REDUCE: (461), (782) imply:
% 50.14/12.43 | (862) h4(e13) = all_28_23
% 50.14/12.43 |
% 50.14/12.43 | REDUCE: (460), (488) imply:
% 50.14/12.43 | (863) h4(all_12_3) = all_28_26
% 50.14/12.43 |
% 50.14/12.43 | REDUCE: (459), (781) imply:
% 50.14/12.43 | (864) h4(all_12_7) = all_28_29
% 50.14/12.43 |
% 50.14/12.43 | REDUCE: (458), (480) imply:
% 50.14/12.43 | (865) h4(all_12_11) = all_28_32
% 50.14/12.43 |
% 50.14/12.43 | REDUCE: (457), (780) imply:
% 50.14/12.43 | (866) h4(all_12_15) = all_28_35
% 50.14/12.43 |
% 50.14/12.43 | REDUCE: (441), (608) imply:
% 50.14/12.43 | (867) op2(all_8_0, all_8_0) = all_28_0
% 50.14/12.43 |
% 50.14/12.43 | REDUCE: (440), (607), (608) imply:
% 50.14/12.43 | (868) op2(all_8_0, all_8_1) = all_28_2
% 50.14/12.43 |
% 50.14/12.43 | REDUCE: (439), (606), (608) imply:
% 50.14/12.43 | (869) op2(all_8_0, e23) = all_28_4
% 50.14/12.43 |
% 50.14/12.43 | REDUCE: (438), (605), (608) imply:
% 50.14/12.43 | (870) op2(all_8_0, all_8_2) = all_28_6
% 50.14/12.43 |
% 50.14/12.43 | REDUCE: (437), (607), (608) imply:
% 50.14/12.43 | (871) op2(all_8_1, all_8_0) = all_28_8
% 50.14/12.43 |
% 50.14/12.43 | REDUCE: (436), (607) imply:
% 50.14/12.43 | (872) op2(all_8_1, all_8_1) = all_28_10
% 50.14/12.43 |
% 50.14/12.43 | REDUCE: (435), (606), (607) imply:
% 50.14/12.43 | (873) op2(all_8_1, e23) = all_28_12
% 50.14/12.43 |
% 50.14/12.43 | REDUCE: (434), (605), (607) imply:
% 50.14/12.43 | (874) op2(all_8_1, all_8_2) = all_28_14
% 50.14/12.43 |
% 50.14/12.43 | REDUCE: (433), (606), (608) imply:
% 50.14/12.43 | (875) op2(e23, all_8_0) = all_28_16
% 50.14/12.43 |
% 50.14/12.43 | REDUCE: (432), (606), (607) imply:
% 50.14/12.43 | (876) op2(e23, all_8_1) = all_28_18
% 50.14/12.43 |
% 50.14/12.43 | REDUCE: (431), (606) imply:
% 50.14/12.43 | (877) op2(e23, e23) = all_28_20
% 50.14/12.43 |
% 50.14/12.43 | REDUCE: (430), (605), (606) imply:
% 50.14/12.43 | (878) op2(e23, all_8_2) = all_28_22
% 50.14/12.43 |
% 50.14/12.43 | REDUCE: (429), (605), (608) imply:
% 50.14/12.43 | (879) op2(all_8_2, all_8_0) = all_28_24
% 50.14/12.43 |
% 50.14/12.43 | REDUCE: (428), (605), (607) imply:
% 50.14/12.43 | (880) op2(all_8_2, all_8_1) = all_28_27
% 50.14/12.43 |
% 50.14/12.43 | REDUCE: (427), (605), (606) imply:
% 50.14/12.43 | (881) op2(all_8_2, e23) = all_28_30
% 50.14/12.43 |
% 50.14/12.43 | REDUCE: (426), (605) imply:
% 50.14/12.43 | (882) op2(all_8_2, all_8_2) = all_28_33
% 50.14/12.43 |
% 50.14/12.43 | REDUCE: (425), (604) imply:
% 50.14/12.43 | (883) op2(all_6_1, all_6_1) = all_28_46
% 50.14/12.43 |
% 50.14/12.43 | REDUCE: (424), (603), (604) imply:
% 50.14/12.43 | (884) op2(all_6_1, e22) = all_28_48
% 50.14/12.43 |
% 50.14/12.43 | REDUCE: (423), (603), (604) imply:
% 50.14/12.43 | (885) op2(e22, all_6_1) = all_28_54
% 50.14/12.43 |
% 50.14/12.43 | REDUCE: (422), (603) imply:
% 50.14/12.43 | (886) op2(e22, e22) = all_28_56
% 50.14/12.43 |
% 50.14/12.43 | REDUCE: (421), (602), (603) imply:
% 50.14/12.43 | (887) op2(all_6_2, e22) = all_28_66
% 50.14/12.43 |
% 50.14/12.43 | REDUCE: (420), (601) imply:
% 50.14/12.43 | (888) op2(all_4_0, all_4_0) = all_28_72
% 50.14/12.43 |
% 50.14/12.44 | REDUCE: (419), (601), (785) imply:
% 50.14/12.44 | (889) op2(all_4_0, e22) = all_28_74
% 50.14/12.44 |
% 50.14/12.44 | REDUCE: (418), (599), (601) imply:
% 50.14/12.44 | (890) op2(all_4_0, e21) = all_28_76
% 50.14/12.44 |
% 50.14/12.44 | REDUCE: (417), (598), (601) imply:
% 50.14/12.44 | (891) op2(all_4_0, all_4_2) = all_28_78
% 50.14/12.44 |
% 50.14/12.44 | REDUCE: (416), (601), (785) imply:
% 50.14/12.44 | (892) op2(e22, all_4_0) = all_28_80
% 50.14/12.44 |
% 50.14/12.44 | REDUCE: (415), (785) imply:
% 50.14/12.44 | (893) op2(e22, e22) = all_28_82
% 50.14/12.44 |
% 50.14/12.44 | REDUCE: (414), (599), (785) imply:
% 50.14/12.44 | (894) op2(e22, e21) = all_28_84
% 50.14/12.44 |
% 50.14/12.44 | REDUCE: (413), (598), (785) imply:
% 50.14/12.44 | (895) op2(e22, all_4_2) = all_28_86
% 50.14/12.44 |
% 50.14/12.44 | REDUCE: (412), (599), (601) imply:
% 50.14/12.44 | (896) op2(e21, all_4_0) = all_28_88
% 50.14/12.44 |
% 50.14/12.44 | REDUCE: (411), (599), (785) imply:
% 50.14/12.44 | (897) op2(e21, e22) = all_28_90
% 50.14/12.44 |
% 50.14/12.44 | REDUCE: (410), (599) imply:
% 50.14/12.44 | (898) op2(e21, e21) = all_28_92
% 50.14/12.44 |
% 50.14/12.44 | REDUCE: (409), (598), (601) imply:
% 50.14/12.44 | (899) op2(all_4_2, all_4_0) = all_28_96
% 50.14/12.44 |
% 50.14/12.44 | REDUCE: (408), (598), (785) imply:
% 50.14/12.44 | (900) op2(all_4_2, e22) = all_28_99
% 50.14/12.44 |
% 50.14/12.44 | REDUCE: (407), (598), (599) imply:
% 50.14/12.44 | (901) op2(all_4_2, e21) = all_28_102
% 50.14/12.44 |
% 50.14/12.44 | REDUCE: (406), (598) imply:
% 50.14/12.44 | (902) op2(all_4_2, all_4_2) = all_28_105
% 50.14/12.44 |
% 50.14/12.44 | REDUCE: (405), (597) imply:
% 50.14/12.44 | (903) op2(all_10_0, all_10_0) = all_28_108
% 50.14/12.44 |
% 50.14/12.44 | REDUCE: (404), (594), (597) imply:
% 50.14/12.44 | (904) op2(all_10_0, all_10_2) = all_28_117
% 50.14/12.44 |
% 50.14/12.44 | REDUCE: (403), (596) imply:
% 50.14/12.44 | (905) op2(all_10_1, all_10_1) = all_28_123
% 50.14/12.44 |
% 50.14/12.44 | REDUCE: (402), (595), (596) imply:
% 50.14/12.44 | (906) op2(all_10_1, e20) = all_28_126
% 50.14/12.44 |
% 50.14/12.44 | REDUCE: (401), (595), (596) imply:
% 50.14/12.44 | (907) op2(e20, all_10_1) = all_28_135
% 50.14/12.44 |
% 50.14/12.44 | REDUCE: (400), (595) imply:
% 50.14/12.44 | (908) op2(e20, e20) = all_28_138
% 50.14/12.44 |
% 50.14/12.44 | REDUCE: (399), (594), (595) imply:
% 50.14/12.44 | (909) op2(e20, all_10_2) = all_28_141
% 50.14/12.44 |
% 50.14/12.44 | REDUCE: (398), (594), (597) imply:
% 50.14/12.44 | (910) op2(all_10_2, all_10_0) = all_28_144
% 50.14/12.44 |
% 50.14/12.44 | REDUCE: (397), (594), (595) imply:
% 50.14/12.44 | (911) op2(all_10_2, e20) = all_28_152
% 50.14/12.44 |
% 50.14/12.44 | REDUCE: (396), (594) imply:
% 50.14/12.44 | (912) op2(all_10_2, all_10_2) = all_28_156
% 50.14/12.44 |
% 50.14/12.44 | REDUCE: (252), (707) imply:
% 50.14/12.44 | (913) op2(all_8_1, all_8_1) = all_18_0
% 50.14/12.44 |
% 50.14/12.44 | REDUCE: (251), (711) imply:
% 50.14/12.44 | (914) op2(all_14_1, all_14_1) = all_18_2
% 50.14/12.44 |
% 50.14/12.44 | REDUCE: (250), (717) imply:
% 50.14/12.44 | (915) op2(all_14_2, all_14_2) = all_18_4
% 50.14/12.44 |
% 50.14/12.44 | REDUCE: (249), (724) imply:
% 50.14/12.44 | (916) op2(all_14_3, all_14_3) = all_18_6
% 50.14/12.44 |
% 50.14/12.44 | REDUCE: (248), (708) imply:
% 50.14/12.44 | (917) op2(all_14_4, all_14_4) = all_18_8
% 50.14/12.44 |
% 50.14/12.44 | REDUCE: (247), (713) imply:
% 50.14/12.44 | (918) op2(all_6_1, all_6_1) = all_18_10
% 50.14/12.44 |
% 50.14/12.44 | REDUCE: (246), (718) imply:
% 50.14/12.44 | (919) op2(all_14_6, all_14_6) = all_18_12
% 50.14/12.44 |
% 50.14/12.44 | REDUCE: (245), (726) imply:
% 50.14/12.44 | (920) op2(all_14_7, all_14_7) = all_18_14
% 50.14/12.44 |
% 50.14/12.44 | REDUCE: (244), (709) imply:
% 50.14/12.44 | (921) op2(all_14_8, all_14_8) = all_18_16
% 50.14/12.44 |
% 50.14/12.44 | REDUCE: (243), (715) imply:
% 50.14/12.44 | (922) op2(e20, e20) = all_18_18
% 50.14/12.44 |
% 50.14/12.44 | REDUCE: (242), (557) imply:
% 50.14/12.44 | (923) op2(e22, e22) = all_18_20
% 50.14/12.44 |
% 50.14/12.44 | REDUCE: (241), (728) imply:
% 50.14/12.44 | (924) op2(all_14_11, all_14_11) = all_18_22
% 50.14/12.44 |
% 50.14/12.44 | REDUCE: (240), (710) imply:
% 50.14/12.44 | (925) op2(all_14_12, all_14_12) = all_18_24
% 50.14/12.44 |
% 50.14/12.44 | REDUCE: (239), (716) imply:
% 50.14/12.44 | (926) op2(all_14_13, all_14_13) = all_18_26
% 50.14/12.44 |
% 50.14/12.44 | REDUCE: (238), (722) imply:
% 50.14/12.44 | (927) op2(e23, e23) = all_18_28
% 50.14/12.44 |
% 50.14/12.44 | REDUCE: (237), (539) imply:
% 50.14/12.44 | (928) op2(all_10_1, all_10_1) = all_18_30
% 50.14/12.44 |
% 50.14/12.44 | REDUCE: (37), (769) imply:
% 50.14/12.44 | (929) op2(e22, e21) = all_4_2
% 50.14/12.44 |
% 50.14/12.44 | REDUCE: (218), (731) imply:
% 50.14/12.44 | (930) op1(all_12_0, all_12_0) = all_16_0
% 50.14/12.44 |
% 50.14/12.44 | REDUCE: (217), (735) imply:
% 50.14/12.44 | (931) op1(all_12_1, all_12_1) = all_16_2
% 50.14/12.44 |
% 50.14/12.44 | REDUCE: (216), (742) imply:
% 50.14/12.44 | (932) op1(all_12_2, all_12_2) = all_16_4
% 50.14/12.44 |
% 50.14/12.44 | REDUCE: (215), (750) imply:
% 50.14/12.44 | (933) op1(all_12_3, all_12_3) = all_16_6
% 50.14/12.44 |
% 50.14/12.44 | REDUCE: (214), (732) imply:
% 50.14/12.44 | (934) op1(all_12_4, all_12_4) = all_16_8
% 50.14/12.44 |
% 50.14/12.44 | REDUCE: (213), (737) imply:
% 50.14/12.44 | (935) op1(all_12_5, all_12_5) = all_16_10
% 50.14/12.44 |
% 50.14/12.44 | REDUCE: (212), (744) imply:
% 50.14/12.44 | (936) op1(all_12_6, all_12_6) = all_16_12
% 50.14/12.44 |
% 50.14/12.44 | REDUCE: (211), (752) imply:
% 50.14/12.44 | (937) op1(all_12_7, all_12_7) = all_16_14
% 50.14/12.44 |
% 50.14/12.44 | REDUCE: (210), (738) imply:
% 50.14/12.44 | (938) op1(e10, e10) = all_16_18
% 50.14/12.44 |
% 50.14/12.44 | REDUCE: (209), (746) imply:
% 50.14/12.45 | (939) op1(e12, e12) = all_16_20
% 50.14/12.45 |
% 50.14/12.45 | REDUCE: (208), (734) imply:
% 50.14/12.45 | (940) op1(all_12_12, all_12_12) = all_16_24
% 50.14/12.45 |
% 50.14/12.45 | REDUCE: (207), (741) imply:
% 50.14/12.45 | (941) op1(all_12_13, all_12_13) = all_16_26
% 50.14/12.45 |
% 50.14/12.45 | REDUCE: (206), (747) imply:
% 50.14/12.45 | (942) op1(e13, e13) = all_16_28
% 50.14/12.45 |
% 50.14/12.45 | REDUCE: (205), (753) imply:
% 50.14/12.45 | (943) op1(all_12_15, all_12_15) = all_16_30
% 50.14/12.45 |
% 50.14/12.45 | GROUND_INST: instantiating (32) with all_12_15, all_16_18, e10, e10,
% 50.14/12.45 | simplifying with (110), (938) gives:
% 50.14/12.45 | (944) all_16_18 = all_12_15
% 50.14/12.45 |
% 50.14/12.45 | GROUND_INST: instantiating (32) with all_12_5, all_16_20, e12, e12,
% 50.14/12.45 | simplifying with (120), (939) gives:
% 50.14/12.45 | (945) all_16_20 = all_12_5
% 50.14/12.45 |
% 50.14/12.45 | GROUND_INST: instantiating (32) with all_12_0, all_16_28, e13, e13,
% 50.14/12.45 | simplifying with (125), (942) gives:
% 50.14/12.45 | (946) all_16_28 = all_12_0
% 50.14/12.45 |
% 50.14/12.45 | GROUND_INST: instantiating (33) with all_10_1, all_28_138, e20, e20,
% 50.14/12.45 | simplifying with (57), (908) gives:
% 50.14/12.45 | (947) all_28_138 = all_10_1
% 50.14/12.45 |
% 50.14/12.45 | GROUND_INST: instantiating (33) with all_18_18, all_28_138, e20, e20,
% 50.14/12.45 | simplifying with (908), (922) gives:
% 50.14/12.45 | (948) all_28_138 = all_18_18
% 50.14/12.45 |
% 50.14/12.45 | GROUND_INST: instantiating (33) with all_10_0, all_28_141, all_10_2, e20,
% 50.14/12.45 | simplifying with (58), (909) gives:
% 50.14/12.45 | (949) all_28_141 = all_10_0
% 50.14/12.45 |
% 50.14/12.45 | GROUND_INST: instantiating (33) with e22, all_28_92, e21, e21, simplifying
% 50.14/12.45 | with (21), (898) gives:
% 50.14/12.45 | (950) all_28_92 = e22
% 50.14/12.45 |
% 50.14/12.45 | GROUND_INST: instantiating (33) with all_14_6, all_28_90, e22, e21,
% 50.14/12.45 | simplifying with (180), (897) gives:
% 50.14/12.45 | (951) all_28_90 = all_14_6
% 50.14/12.45 |
% 50.14/12.45 | GROUND_INST: instantiating (33) with e20, all_28_84, e21, e22, simplifying
% 50.14/12.45 | with (22), (894) gives:
% 50.14/12.45 | (952) all_28_84 = e20
% 50.14/12.45 |
% 50.14/12.45 | GROUND_INST: instantiating (33) with all_4_2, all_28_84, e21, e22, simplifying
% 50.14/12.45 | with (894), (929) gives:
% 50.14/12.45 | (953) all_28_84 = all_4_2
% 50.14/12.45 |
% 50.14/12.45 | GROUND_INST: instantiating (33) with all_6_1, all_28_56, e22, e22, simplifying
% 50.14/12.45 | with (43), (886) gives:
% 50.14/12.45 | (954) all_28_56 = all_6_1
% 50.14/12.45 |
% 50.14/12.45 | GROUND_INST: instantiating (33) with all_28_82, all_28_56, e22, e22,
% 50.14/12.45 | simplifying with (886), (893) gives:
% 50.14/12.45 | (955) all_28_56 = all_28_82
% 50.14/12.45 |
% 50.14/12.45 | GROUND_INST: instantiating (33) with all_18_20, all_28_56, e22, e22,
% 50.14/12.45 | simplifying with (886), (923) gives:
% 50.14/12.45 | (956) all_28_56 = all_18_20
% 50.14/12.45 |
% 50.14/12.45 | GROUND_INST: instantiating (33) with all_8_1, all_28_20, e23, e23, simplifying
% 50.14/12.45 | with (49), (877) gives:
% 50.14/12.45 | (957) all_28_20 = all_8_1
% 50.14/12.45 |
% 50.14/12.45 | GROUND_INST: instantiating (33) with all_18_28, all_28_20, e23, e23,
% 50.14/12.45 | simplifying with (877), (927) gives:
% 50.14/12.45 | (958) all_28_20 = all_18_28
% 50.14/12.45 |
% 50.14/12.45 | GROUND_INST: instantiating (33) with all_8_0, all_28_22, all_8_2, e23,
% 50.14/12.45 | simplifying with (50), (878) gives:
% 50.14/12.45 | (959) all_28_22 = all_8_0
% 50.14/12.45 |
% 50.14/12.45 | GROUND_INST: instantiating (33) with all_6_2, all_28_48, e22, all_6_1,
% 50.14/12.45 | simplifying with (44), (884) gives:
% 50.14/12.45 | (960) all_28_48 = all_6_2
% 50.14/12.45 |
% 50.14/12.45 | GROUND_INST: instantiating (33) with all_18_10, all_28_46, all_6_1, all_6_1,
% 50.14/12.45 | simplifying with (883), (918) gives:
% 50.14/12.45 | (961) all_28_46 = all_18_10
% 50.14/12.45 |
% 50.14/12.45 | GROUND_INST: instantiating (33) with all_8_2, all_28_12, e23, all_8_1,
% 50.14/12.45 | simplifying with (51), (873) gives:
% 50.14/12.45 | (962) all_28_12 = all_8_2
% 50.14/12.45 |
% 50.14/12.45 | GROUND_INST: instantiating (33) with all_18_0, all_28_10, all_8_1, all_8_1,
% 50.14/12.45 | simplifying with (872), (913) gives:
% 50.14/12.45 | (963) all_28_10 = all_18_0
% 50.14/12.45 |
% 50.14/12.45 | GROUND_INST: instantiating (33) with all_10_2, all_28_126, e20, all_10_1,
% 50.14/12.45 | simplifying with (59), (906) gives:
% 50.14/12.45 | (964) all_28_126 = all_10_2
% 50.14/12.45 |
% 50.14/12.45 | GROUND_INST: instantiating (33) with all_18_30, all_28_123, all_10_1,
% 50.14/12.45 | all_10_1, simplifying with (905), (928) gives:
% 50.14/12.45 | (965) all_28_123 = all_18_30
% 50.14/12.45 |
% 50.14/12.45 | GROUND_INST: instantiating (31) with all_8_2, all_28_13, e10, simplifying with
% 50.14/12.45 | (52), (857) gives:
% 50.14/12.45 | (966) all_28_13 = all_8_2
% 50.14/12.45 |
% 50.14/12.45 | GROUND_INST: instantiating (31) with all_8_1, all_28_21, e12, simplifying with
% 50.14/12.45 | (54), (861) gives:
% 50.14/12.45 | (967) all_28_21 = all_8_1
% 50.14/12.45 |
% 50.14/12.45 | GROUND_INST: instantiating (31) with all_8_0, all_28_23, e13, simplifying with
% 50.14/12.45 | (55), (862) gives:
% 50.14/12.45 | (968) all_28_23 = all_8_0
% 50.14/12.45 |
% 50.14/12.45 | COMBINE_EQS: (957), (958) imply:
% 50.14/12.45 | (969) all_18_28 = all_8_1
% 50.14/12.45 |
% 50.14/12.45 | COMBINE_EQS: (954), (955) imply:
% 50.14/12.45 | (970) all_28_82 = all_6_1
% 50.14/12.45 |
% 50.14/12.45 | COMBINE_EQS: (955), (956) imply:
% 50.14/12.45 | (971) all_28_82 = all_18_20
% 50.14/12.45 |
% 50.14/12.45 | COMBINE_EQS: (970), (971) imply:
% 50.14/12.45 | (972) all_18_20 = all_6_1
% 50.14/12.45 |
% 50.14/12.45 | COMBINE_EQS: (952), (953) imply:
% 50.14/12.45 | (973) all_4_2 = e20
% 50.14/12.45 |
% 50.14/12.45 | COMBINE_EQS: (947), (948) imply:
% 50.14/12.45 | (974) all_18_18 = all_10_1
% 50.14/12.45 |
% 50.14/12.45 | SIMP: (974) implies:
% 50.14/12.45 | (975) all_18_18 = all_10_1
% 50.14/12.45 |
% 50.14/12.45 | REDUCE: (891), (973) imply:
% 50.14/12.45 | (976) op2(all_4_0, e20) = all_28_78
% 50.14/12.45 |
% 50.14/12.45 | REDUCE: (899), (973) imply:
% 50.14/12.45 | (977) op2(e20, all_4_0) = all_28_96
% 50.14/12.45 |
% 50.14/12.45 | REDUCE: (902), (973) imply:
% 50.14/12.45 | (978) op2(e20, e20) = all_28_105
% 50.14/12.45 |
% 50.14/12.45 | REDUCE: (900), (973) imply:
% 50.14/12.45 | (979) op2(e20, e22) = all_28_99
% 50.14/12.45 |
% 50.14/12.45 | REDUCE: (901), (973) imply:
% 50.14/12.45 | (980) op2(e20, e21) = all_28_102
% 50.14/12.45 |
% 50.14/12.45 | REDUCE: (895), (973) imply:
% 50.14/12.45 | (981) op2(e22, e20) = all_28_86
% 50.14/12.45 |
% 50.14/12.45 | REDUCE: (36), (973) imply:
% 50.14/12.45 | (982) op2(e21, e20) = all_4_0
% 50.14/12.45 |
% 50.14/12.45 | GROUND_INST: instantiating (33) with all_10_1, all_28_105, e20, e20,
% 50.14/12.45 | simplifying with (57), (978) gives:
% 50.14/12.45 | (983) all_28_105 = all_10_1
% 50.14/12.45 |
% 50.14/12.46 | GROUND_INST: instantiating (33) with all_14_11, all_28_102, e21, e20,
% 50.14/12.46 | simplifying with (175), (980) gives:
% 50.14/12.46 | (984) all_28_102 = all_14_11
% 50.14/12.46 |
% 50.14/12.46 | GROUND_INST: instantiating (33) with all_14_7, all_28_99, e22, e20,
% 50.14/12.46 | simplifying with (176), (979) gives:
% 50.14/12.46 | (985) all_28_99 = all_14_7
% 50.14/12.46 |
% 50.14/12.46 | GROUND_INST: instantiating (33) with e23, all_4_0, e20, e21, simplifying with
% 50.14/12.46 | (20), (982) gives:
% 50.14/12.46 | (986) all_4_0 = e23
% 50.14/12.46 |
% 50.14/12.46 | GROUND_INST: instantiating (33) with all_14_13, all_28_86, e20, e22,
% 50.14/12.46 | simplifying with (182), (981) gives:
% 50.14/12.46 | (987) all_28_86 = all_14_13
% 50.14/12.46 |
% 50.14/12.46 | REDUCE: (888), (986) imply:
% 50.14/12.46 | (988) op2(e23, e23) = all_28_72
% 50.14/12.46 |
% 50.14/12.46 | REDUCE: (889), (986) imply:
% 50.14/12.46 | (989) op2(e23, e22) = all_28_74
% 50.14/12.46 |
% 50.14/12.46 | REDUCE: (890), (986) imply:
% 50.14/12.46 | (990) op2(e23, e21) = all_28_76
% 50.14/12.46 |
% 50.14/12.46 | REDUCE: (976), (986) imply:
% 50.14/12.46 | (991) op2(e23, e20) = all_28_78
% 50.14/12.46 |
% 50.14/12.46 | REDUCE: (892), (986) imply:
% 50.14/12.46 | (992) op2(e22, e23) = all_28_80
% 50.14/12.46 |
% 50.14/12.46 | REDUCE: (896), (986) imply:
% 50.14/12.46 | (993) op2(e21, e23) = all_28_88
% 50.14/12.46 |
% 50.14/12.46 | REDUCE: (977), (986) imply:
% 50.14/12.46 | (994) op2(e20, e23) = all_28_96
% 50.14/12.46 |
% 50.14/12.46 | GROUND_INST: instantiating (33) with all_14_3, all_28_96, e23, e20,
% 50.14/12.46 | simplifying with (177), (994) gives:
% 50.14/12.46 | (995) all_28_96 = all_14_3
% 50.14/12.46 |
% 50.14/12.46 | GROUND_INST: instantiating (33) with all_14_2, all_28_88, e23, e21,
% 50.14/12.46 | simplifying with (181), (993) gives:
% 50.14/12.46 | (996) all_28_88 = all_14_2
% 50.14/12.46 |
% 50.14/12.46 | GROUND_INST: instantiating (33) with all_14_1, all_28_80, e23, e22,
% 50.14/12.46 | simplifying with (185), (992) gives:
% 50.14/12.46 | (997) all_28_80 = all_14_1
% 50.14/12.46 |
% 50.14/12.46 | GROUND_INST: instantiating (33) with all_14_12, all_28_78, e20, e23,
% 50.14/12.46 | simplifying with (186), (991) gives:
% 50.14/12.46 | (998) all_28_78 = all_14_12
% 50.14/12.46 |
% 50.14/12.46 | GROUND_INST: instantiating (33) with all_14_8, all_28_76, e21, e23,
% 50.14/12.46 | simplifying with (187), (990) gives:
% 50.14/12.46 | (999) all_28_76 = all_14_8
% 50.14/12.46 |
% 50.14/12.46 | GROUND_INST: instantiating (33) with all_14_4, all_28_74, e22, e23,
% 50.14/12.46 | simplifying with (188), (989) gives:
% 50.14/12.46 | (1000) all_28_74 = all_14_4
% 50.14/12.46 |
% 50.14/12.46 | GROUND_INST: instantiating (33) with all_8_1, all_28_72, e23, e23, simplifying
% 50.14/12.46 | with (49), (988) gives:
% 50.14/12.46 | (1001) all_28_72 = all_8_1
% 50.14/12.46 |
% 50.14/12.46 | BETA: splitting (330) gives:
% 50.14/12.46 |
% 50.14/12.46 | Case 1:
% 50.14/12.46 | |
% 50.14/12.46 | | (1002) all_24_15 = e20
% 50.14/12.46 | |
% 50.14/12.46 | | COMBINE_EQS: (772), (1002) imply:
% 50.14/12.46 | | (1003) all_10_1 = e20
% 50.14/12.46 | |
% 50.14/12.46 | | SIMP: (1003) implies:
% 50.14/12.46 | | (1004) all_10_1 = e20
% 50.14/12.46 | |
% 50.14/12.46 | | COMBINE_EQS: (975), (1004) imply:
% 50.14/12.46 | | (1005) all_18_18 = e20
% 50.14/12.46 | |
% 50.14/12.46 | | REDUCE: (802), (1004) imply:
% 50.14/12.46 | | (1006) ~ (all_14_3 = e20)
% 50.14/12.46 | |
% 50.14/12.46 | | REDUCE: (813), (1004) imply:
% 50.14/12.46 | | (1007) ~ (all_14_7 = e20)
% 50.14/12.46 | |
% 50.14/12.46 | | REDUCE: (826), (1004) imply:
% 50.14/12.46 | | (1008) ~ (all_14_12 = e20)
% 50.14/12.46 | |
% 50.14/12.46 | | REDUCE: (928), (1004) imply:
% 50.14/12.46 | | (1009) op2(e20, e20) = all_18_30
% 50.14/12.46 | |
% 50.14/12.46 | | REDUCE: (59), (1004) imply:
% 50.14/12.46 | | (1010) op2(e20, e20) = all_10_2
% 50.14/12.46 | |
% 50.14/12.46 | | REDUCE: (907), (1004) imply:
% 50.14/12.46 | | (1011) op2(e20, e20) = all_28_135
% 50.14/12.46 | |
% 50.14/12.46 | | REDUCE: (57), (1004) imply:
% 50.14/12.46 | | (1012) op2(e20, e20) = e20
% 50.14/12.46 | |
% 50.14/12.46 | | GROUND_INST: instantiating (33) with all_18_30, all_28_135, e20, e20,
% 50.14/12.46 | | simplifying with (1009), (1011) gives:
% 50.14/12.46 | | (1013) all_28_135 = all_18_30
% 50.14/12.46 | |
% 50.14/12.46 | | GROUND_INST: instantiating (33) with all_10_2, all_28_135, e20, e20,
% 50.14/12.46 | | simplifying with (1010), (1011) gives:
% 50.14/12.46 | | (1014) all_28_135 = all_10_2
% 50.14/12.46 | |
% 50.14/12.46 | | GROUND_INST: instantiating (33) with e20, all_28_135, e20, e20, simplifying
% 50.14/12.46 | | with (1011), (1012) gives:
% 50.14/12.46 | | (1015) all_28_135 = e20
% 50.14/12.46 | |
% 50.14/12.46 | | COMBINE_EQS: (1013), (1014) imply:
% 50.14/12.46 | | (1016) all_18_30 = all_10_2
% 50.14/12.46 | |
% 50.14/12.47 | | COMBINE_EQS: (1013), (1015) imply:
% 50.14/12.47 | | (1017) all_18_30 = e20
% 50.14/12.47 | |
% 50.14/12.47 | | COMBINE_EQS: (1016), (1017) imply:
% 50.14/12.47 | | (1018) all_10_2 = e20
% 50.14/12.47 | |
% 50.14/12.47 | | SIMP: (1018) implies:
% 50.14/12.47 | | (1019) all_10_2 = e20
% 50.14/12.47 | |
% 50.14/12.47 | | REDUCE: (904), (1019) imply:
% 50.14/12.47 | | (1020) op2(all_10_0, e20) = all_28_117
% 50.14/12.47 | |
% 50.14/12.47 | | REDUCE: (910), (1019) imply:
% 50.14/12.47 | | (1021) op2(e20, all_10_0) = all_28_144
% 50.14/12.47 | |
% 50.14/12.47 | | REDUCE: (912), (1019) imply:
% 50.14/12.47 | | (1022) op2(e20, e20) = all_28_156
% 50.14/12.47 | |
% 50.14/12.47 | | REDUCE: (911), (1019) imply:
% 50.14/12.47 | | (1023) op2(e20, e20) = all_28_152
% 50.14/12.47 | |
% 50.14/12.47 | | REDUCE: (58), (1019) imply:
% 50.14/12.47 | | (1024) op2(e20, e20) = all_10_0
% 50.14/12.47 | |
% 50.14/12.47 | | GROUND_INST: instantiating (33) with e20, all_28_156, e20, e20, simplifying
% 50.14/12.47 | | with (1012), (1022) gives:
% 50.14/12.47 | | (1025) all_28_156 = e20
% 50.14/12.47 | |
% 50.14/12.47 | | GROUND_INST: instantiating (33) with all_28_156, all_28_152, e20, e20,
% 50.14/12.47 | | simplifying with (1022), (1023) gives:
% 50.14/12.47 | | (1026) all_28_152 = all_28_156
% 50.14/12.47 | |
% 50.14/12.47 | | GROUND_INST: instantiating (33) with all_10_0, all_28_152, e20, e20,
% 50.14/12.47 | | simplifying with (1023), (1024) gives:
% 50.14/12.47 | | (1027) all_28_152 = all_10_0
% 50.14/12.47 | |
% 50.14/12.47 | | COMBINE_EQS: (1026), (1027) imply:
% 50.14/12.47 | | (1028) all_28_156 = all_10_0
% 50.14/12.47 | |
% 50.14/12.47 | | SIMP: (1028) implies:
% 50.14/12.47 | | (1029) all_28_156 = all_10_0
% 50.14/12.47 | |
% 50.14/12.47 | | COMBINE_EQS: (1025), (1029) imply:
% 50.14/12.47 | | (1030) all_10_0 = e20
% 50.14/12.47 | |
% 50.14/12.47 | | REDUCE: (903), (1030) imply:
% 50.14/12.47 | | (1031) op2(e20, e20) = all_28_108
% 50.14/12.47 | |
% 50.14/12.47 | | REDUCE: (1020), (1030) imply:
% 50.14/12.47 | | (1032) op2(e20, e20) = all_28_117
% 50.14/12.47 | |
% 50.14/12.47 | | REDUCE: (1021), (1030) imply:
% 50.14/12.47 | | (1033) op2(e20, e20) = all_28_144
% 50.14/12.47 | |
% 50.14/12.47 | | GROUND_INST: instantiating (33) with e20, all_28_117, e20, e20, simplifying
% 50.14/12.47 | | with (1012), (1032) gives:
% 50.14/12.47 | | (1034) all_28_117 = e20
% 50.14/12.47 | |
% 50.14/12.47 | | GROUND_INST: instantiating (33) with all_28_117, all_28_108, e20, e20,
% 50.14/12.47 | | simplifying with (1031), (1032) gives:
% 50.14/12.47 | | (1035) all_28_108 = all_28_117
% 50.14/12.47 | |
% 50.31/12.47 | | GROUND_INST: instantiating (33) with all_28_144, all_28_108, e20, e20,
% 50.31/12.47 | | simplifying with (1031), (1033) gives:
% 50.31/12.47 | | (1036) all_28_108 = all_28_144
% 50.31/12.47 | |
% 50.31/12.47 | | COMBINE_EQS: (1035), (1036) imply:
% 50.31/12.47 | | (1037) all_28_117 = all_28_144
% 50.31/12.47 | |
% 50.31/12.47 | | SIMP: (1037) implies:
% 50.31/12.47 | | (1038) all_28_117 = all_28_144
% 50.31/12.47 | |
% 50.31/12.47 | | COMBINE_EQS: (1034), (1038) imply:
% 50.31/12.47 | | (1039) all_28_144 = e20
% 50.31/12.47 | |
% 50.31/12.47 | | BETA: splitting (277) gives:
% 50.31/12.47 | |
% 50.31/12.47 | | Case 1:
% 50.31/12.47 | | |
% 50.31/12.47 | | | (1040) all_20_7 = e11
% 50.31/12.47 | | |
% 50.31/12.47 | | | COMBINE_EQS: (663), (1040) imply:
% 50.31/12.47 | | | (1041) all_12_13 = e11
% 50.31/12.47 | | |
% 50.31/12.47 | | | COMBINE_EQS: (625), (1041) imply:
% 50.31/12.47 | | | (1042) all_26_10 = e11
% 50.31/12.47 | | |
% 50.31/12.47 | | | REDUCE: (85), (1041) imply:
% 50.31/12.47 | | | (1043) ~ (all_12_5 = e11)
% 50.31/12.47 | | |
% 50.31/12.47 | | | REDUCE: (66), (1041) imply:
% 50.31/12.47 | | | (1044) ~ (all_12_15 = e11)
% 50.31/12.47 | | |
% 50.31/12.47 | | | SIMP: (1044) implies:
% 50.31/12.47 | | | (1045) ~ (all_12_15 = e11)
% 50.31/12.47 | | |
% 50.31/12.47 | | | REDUCE: (848), (1041) imply:
% 50.31/12.47 | | | (1046) ~ (e13 = e11)
% 50.31/12.47 | | |
% 50.31/12.47 | | | REDUCE: (858), (1041) imply:
% 50.31/12.47 | | | (1047) h4(e11) = all_28_15
% 50.31/12.47 | | |
% 50.31/12.47 | | | REDUCE: (941), (1041) imply:
% 50.31/12.47 | | | (1048) op1(e11, e11) = all_16_26
% 50.31/12.47 | | |
% 50.31/12.47 | | | GROUND_INST: instantiating (32) with e12, all_16_26, e11, e11, simplifying
% 50.31/12.47 | | | with (18), (1048) gives:
% 50.31/12.47 | | | (1049) all_16_26 = e12
% 50.31/12.47 | | |
% 50.31/12.47 | | | GROUND_INST: instantiating (31) with e23, all_28_15, e11, simplifying with
% 50.31/12.47 | | | (53), (1047) gives:
% 50.31/12.47 | | | (1050) all_28_15 = e23
% 50.31/12.47 | | |
% 50.31/12.47 | | | BETA: splitting (219) gives:
% 50.31/12.47 | | |
% 50.31/12.47 | | | Case 1:
% 50.31/12.47 | | | |
% 50.31/12.47 | | | | (1051) (all_16_0 = e13 & all_16_2 = e12 & all_16_4 = e11 & all_16_6 =
% 50.31/12.47 | | | | e10) | (all_16_8 = e13 & all_16_10 = e12 & all_16_12 = e11 &
% 50.31/12.47 | | | | all_16_14 = e10)
% 50.31/12.47 | | | |
% 50.31/12.47 | | | | BETA: splitting (1051) gives:
% 50.31/12.47 | | | |
% 50.31/12.47 | | | | Case 1:
% 50.31/12.47 | | | | |
% 50.31/12.47 | | | | | (1052) all_16_0 = e13 & all_16_2 = e12 & all_16_4 = e11 & all_16_6
% 50.31/12.47 | | | | | = e10
% 50.31/12.47 | | | | |
% 50.31/12.47 | | | | | ALPHA: (1052) implies:
% 50.31/12.47 | | | | | (1053) all_16_4 = e11
% 50.31/12.47 | | | | |
% 50.31/12.47 | | | | | REDUCE: (932), (1053) imply:
% 50.31/12.47 | | | | | (1054) op1(all_12_2, all_12_2) = e11
% 50.31/12.47 | | | | |
% 50.31/12.47 | | | | | BETA: splitting (275) gives:
% 50.31/12.47 | | | | |
% 50.31/12.47 | | | | | Case 1:
% 50.31/12.47 | | | | | |
% 50.31/12.47 | | | | | | (1055) all_20_9 = e11
% 50.31/12.47 | | | | | |
% 50.31/12.47 | | | | | | COMBINE_EQS: (657), (1055) imply:
% 50.31/12.47 | | | | | | (1056) all_12_6 = e11
% 50.31/12.47 | | | | | |
% 50.31/12.47 | | | | | | SIMP: (1056) implies:
% 50.31/12.47 | | | | | | (1057) all_12_6 = e11
% 50.31/12.47 | | | | | |
% 50.31/12.47 | | | | | | COMBINE_EQS: (629), (1057) imply:
% 50.31/12.47 | | | | | | (1058) all_26_7 = e11
% 50.31/12.47 | | | | | |
% 50.31/12.47 | | | | | | BETA: splitting (370) gives:
% 50.31/12.47 | | | | | |
% 50.31/12.47 | | | | | | Case 1:
% 50.31/12.47 | | | | | | |
% 50.31/12.47 | | | | | | | (1059) all_26_6 = e10
% 50.31/12.47 | | | | | | |
% 50.31/12.47 | | | | | | | COMBINE_EQS: (627), (1059) imply:
% 50.31/12.47 | | | | | | | (1060) all_12_2 = e10
% 50.31/12.47 | | | | | | |
% 50.31/12.47 | | | | | | | SIMP: (1060) implies:
% 50.31/12.47 | | | | | | | (1061) all_12_2 = e10
% 50.31/12.47 | | | | | | |
% 50.31/12.47 | | | | | | | REDUCE: (1054), (1061) imply:
% 50.31/12.47 | | | | | | | (1062) op1(e10, e10) = e11
% 50.31/12.47 | | | | | | |
% 50.31/12.47 | | | | | | | GROUND_INST: instantiating (32) with all_12_15, e11, e10, e10,
% 50.31/12.47 | | | | | | | simplifying with (110), (1062) gives:
% 50.31/12.47 | | | | | | | (1063) all_12_15 = e11
% 50.31/12.47 | | | | | | |
% 50.31/12.47 | | | | | | | REDUCE: (1045), (1063) imply:
% 50.31/12.47 | | | | | | | (1064) $false
% 50.31/12.48 | | | | | | |
% 50.31/12.48 | | | | | | | CLOSE: (1064) is inconsistent.
% 50.31/12.48 | | | | | | |
% 50.31/12.48 | | | | | | Case 2:
% 50.31/12.49 | | | | | | |
% 50.31/12.49 | | | | | | | (1065) all_26_7 = e10 | all_26_8 = e10 | all_26_11 = e10
% 50.31/12.49 | | | | | | |
% 50.31/12.49 | | | | | | | REF_CLOSE: (7), (9), (491), (631), (840), (1058), (1065) are
% 50.31/12.49 | | | | | | | inconsistent by sub-proof #101.
% 50.31/12.49 | | | | | | |
% 50.31/12.49 | | | | | | End of split
% 50.31/12.49 | | | | | |
% 50.31/12.49 | | | | | Case 2:
% 50.31/12.49 | | | | | |
% 50.31/12.49 | | | | | | (1066) ~ (all_20_9 = e11)
% 50.31/12.49 | | | | | |
% 50.31/12.49 | | | | | | REDUCE: (657), (1066) imply:
% 50.31/12.49 | | | | | | (1067) ~ (all_12_6 = e11)
% 50.31/12.49 | | | | | |
% 50.31/12.49 | | | | | | BETA: splitting (371) gives:
% 50.31/12.49 | | | | | |
% 50.31/12.49 | | | | | | Case 1:
% 50.31/12.49 | | | | | | |
% 50.31/12.49 | | | | | | | (1068) all_26_6 = e11
% 50.31/12.49 | | | | | | |
% 50.31/12.49 | | | | | | | COMBINE_EQS: (627), (1068) imply:
% 50.31/12.49 | | | | | | | (1069) all_12_2 = e11
% 50.31/12.49 | | | | | | |
% 50.31/12.49 | | | | | | | SIMP: (1069) implies:
% 50.31/12.49 | | | | | | | (1070) all_12_2 = e11
% 50.31/12.50 | | | | | | |
% 50.31/12.50 | | | | | | | REDUCE: (832), (1070) imply:
% 50.31/12.50 | | | | | | | (1071) ~ (e12 = e11)
% 50.31/12.50 | | | | | | |
% 50.31/12.50 | | | | | | | REDUCE: (1054), (1070) imply:
% 50.31/12.50 | | | | | | | (1072) op1(e11, e11) = e11
% 50.31/12.50 | | | | | | |
% 50.31/12.50 | | | | | | | REF_CLOSE: (8), (18), (32), (1072) are inconsistent by sub-proof
% 50.31/12.50 | | | | | | | #100.
% 50.31/12.50 | | | | | | |
% 50.31/12.50 | | | | | | Case 2:
% 50.31/12.50 | | | | | | |
% 50.31/12.50 | | | | | | | (1073) all_26_7 = e11 | all_26_8 = e11 | all_26_11 = e11
% 50.31/12.50 | | | | | | |
% 50.31/12.50 | | | | | | | REF_CLOSE: (8), (10), (491), (629), (631), (1067), (1073) are
% 50.31/12.50 | | | | | | | inconsistent by sub-proof #98.
% 50.31/12.50 | | | | | | |
% 50.31/12.50 | | | | | | End of split
% 50.31/12.50 | | | | | |
% 50.31/12.50 | | | | | End of split
% 50.31/12.50 | | | | |
% 50.31/12.50 | | | | Case 2:
% 50.31/12.50 | | | | |
% 50.31/12.50 | | | | | (1074) all_16_8 = e13 & all_16_10 = e12 & all_16_12 = e11 &
% 50.31/12.50 | | | | | all_16_14 = e10
% 50.31/12.50 | | | | |
% 50.31/12.50 | | | | | ALPHA: (1074) implies:
% 50.31/12.50 | | | | | (1075) all_16_12 = e11
% 50.31/12.50 | | | | |
% 50.31/12.50 | | | | | REDUCE: (936), (1075) imply:
% 50.31/12.50 | | | | | (1076) op1(all_12_6, all_12_6) = e11
% 50.31/12.50 | | | | |
% 50.31/12.50 | | | | | BETA: splitting (275) gives:
% 50.31/12.50 | | | | |
% 50.31/12.50 | | | | | Case 1:
% 50.31/12.50 | | | | | |
% 50.31/12.50 | | | | | | (1077) all_20_9 = e11
% 50.31/12.50 | | | | | |
% 50.31/12.50 | | | | | | COMBINE_EQS: (657), (1077) imply:
% 50.31/12.50 | | | | | | (1078) all_12_6 = e11
% 50.31/12.50 | | | | | |
% 50.31/12.50 | | | | | | SIMP: (1078) implies:
% 50.31/12.50 | | | | | | (1079) all_12_6 = e11
% 50.31/12.50 | | | | | |
% 50.31/12.50 | | | | | | REDUCE: (835), (1079) imply:
% 50.31/12.50 | | | | | | (1080) ~ (e12 = e11)
% 50.31/12.50 | | | | | |
% 50.31/12.50 | | | | | | REDUCE: (1076), (1079) imply:
% 50.31/12.50 | | | | | | (1081) op1(e11, e11) = e11
% 50.31/12.50 | | | | | |
% 50.31/12.50 | | | | | | REF_CLOSE: (8), (18), (32), (1081) are inconsistent by sub-proof
% 50.31/12.50 | | | | | | #100.
% 50.31/12.50 | | | | | |
% 50.31/12.50 | | | | | Case 2:
% 50.31/12.50 | | | | | |
% 50.31/12.50 | | | | | | (1082) ~ (all_20_9 = e11)
% 50.31/12.50 | | | | | |
% 50.31/12.50 | | | | | | REDUCE: (657), (1082) imply:
% 50.31/12.50 | | | | | | (1083) ~ (all_12_6 = e11)
% 50.31/12.50 | | | | | |
% 50.31/12.50 | | | | | | BETA: splitting (370) gives:
% 50.31/12.50 | | | | | |
% 50.31/12.50 | | | | | | Case 1:
% 50.31/12.50 | | | | | | |
% 50.31/12.50 | | | | | | | (1084) all_26_6 = e10
% 50.31/12.50 | | | | | | |
% 50.31/12.50 | | | | | | | REF_CLOSE: (7), (8), (10), (371), (491), (629), (631), (1083),
% 50.31/12.50 | | | | | | | (1084) are inconsistent by sub-proof #97.
% 50.31/12.50 | | | | | | |
% 50.31/12.50 | | | | | | Case 2:
% 50.31/12.50 | | | | | | |
% 50.31/12.50 | | | | | | | (1085) all_26_7 = e10 | all_26_8 = e10 | all_26_11 = e10
% 50.31/12.50 | | | | | | |
% 50.31/12.50 | | | | | | | BETA: splitting (1085) gives:
% 50.31/12.50 | | | | | | |
% 50.31/12.50 | | | | | | | Case 1:
% 50.31/12.50 | | | | | | | |
% 50.31/12.50 | | | | | | | | (1086) all_26_7 = e10
% 50.31/12.50 | | | | | | | |
% 50.31/12.50 | | | | | | | | COMBINE_EQS: (629), (1086) imply:
% 50.31/12.50 | | | | | | | | (1087) all_12_6 = e10
% 50.31/12.50 | | | | | | | |
% 50.31/12.50 | | | | | | | | SIMP: (1087) implies:
% 50.31/12.50 | | | | | | | | (1088) all_12_6 = e10
% 50.31/12.50 | | | | | | | |
% 50.31/12.50 | | | | | | | | REDUCE: (1076), (1088) imply:
% 50.31/12.50 | | | | | | | | (1089) op1(e10, e10) = e11
% 50.31/12.50 | | | | | | | |
% 50.31/12.50 | | | | | | | | GROUND_INST: instantiating (32) with all_12_15, e11, e10, e10,
% 50.31/12.50 | | | | | | | | simplifying with (110), (1089) gives:
% 50.31/12.50 | | | | | | | | (1090) all_12_15 = e11
% 50.31/12.50 | | | | | | | |
% 50.31/12.50 | | | | | | | | REDUCE: (1045), (1090) imply:
% 50.31/12.50 | | | | | | | | (1091) $false
% 50.31/12.50 | | | | | | | |
% 50.31/12.50 | | | | | | | | CLOSE: (1091) is inconsistent.
% 50.31/12.50 | | | | | | | |
% 50.31/12.50 | | | | | | | Case 2:
% 50.31/12.50 | | | | | | | |
% 50.31/12.50 | | | | | | | | (1092) all_26_8 = e10 | all_26_11 = e10
% 50.31/12.50 | | | | | | | |
% 50.31/12.50 | | | | | | | | REF_CLOSE: (9), (491), (631), (840), (1092) are inconsistent by
% 50.31/12.50 | | | | | | | | sub-proof #102.
% 50.31/12.50 | | | | | | | |
% 50.31/12.50 | | | | | | | End of split
% 50.31/12.50 | | | | | | |
% 50.31/12.50 | | | | | | End of split
% 50.31/12.50 | | | | | |
% 50.31/12.50 | | | | | End of split
% 50.31/12.50 | | | | |
% 50.31/12.50 | | | | End of split
% 50.31/12.50 | | | |
% 50.31/12.50 | | | Case 2:
% 50.31/12.50 | | | |
% 50.31/12.50 | | | | (1093) (all_16_16 = e13 & all_16_18 = e12 & all_16_20 = e11 &
% 50.31/12.50 | | | | all_16_22 = e10) | (all_16_24 = e13 & all_16_26 = e12 &
% 50.31/12.50 | | | | all_16_28 = e11 & all_16_30 = e10)
% 50.31/12.50 | | | |
% 50.31/12.50 | | | | BETA: splitting (1093) gives:
% 50.31/12.50 | | | |
% 50.31/12.50 | | | | Case 1:
% 50.31/12.50 | | | | |
% 50.31/12.50 | | | | | (1094) all_16_16 = e13 & all_16_18 = e12 & all_16_20 = e11 &
% 50.31/12.50 | | | | | all_16_22 = e10
% 50.31/12.50 | | | | |
% 50.31/12.50 | | | | | ALPHA: (1094) implies:
% 50.31/12.50 | | | | | (1095) all_16_20 = e11
% 50.31/12.50 | | | | |
% 50.31/12.50 | | | | | COMBINE_EQS: (945), (1095) imply:
% 50.31/12.50 | | | | | (1096) all_12_5 = e11
% 50.31/12.50 | | | | |
% 50.31/12.50 | | | | | REDUCE: (1043), (1096) imply:
% 50.31/12.50 | | | | | (1097) $false
% 50.31/12.50 | | | | |
% 50.31/12.50 | | | | | CLOSE: (1097) is inconsistent.
% 50.31/12.50 | | | | |
% 50.31/12.50 | | | | Case 2:
% 50.31/12.50 | | | | |
% 50.31/12.50 | | | | | (1098) all_16_24 = e13 & all_16_26 = e12 & all_16_28 = e11 &
% 50.31/12.50 | | | | | all_16_30 = e10
% 50.31/12.50 | | | | |
% 50.31/12.50 | | | | | ALPHA: (1098) implies:
% 50.31/12.50 | | | | | (1099) all_16_30 = e10
% 50.31/12.50 | | | | | (1100) all_16_28 = e11
% 50.31/12.50 | | | | | (1101) all_16_24 = e13
% 50.31/12.50 | | | | |
% 50.31/12.50 | | | | | COMBINE_EQS: (946), (1100) imply:
% 50.31/12.50 | | | | | (1102) all_12_0 = e11
% 50.31/12.50 | | | | |
% 50.31/12.50 | | | | | SIMP: (1102) implies:
% 50.31/12.51 | | | | | (1103) all_12_0 = e11
% 50.31/12.51 | | | | |
% 50.31/12.51 | | | | | REDUCE: (109), (1103) imply:
% 50.31/12.51 | | | | | (1104) ~ (all_12_1 = e11)
% 50.31/12.51 | | | | |
% 50.31/12.51 | | | | | SIMP: (1104) implies:
% 50.31/12.51 | | | | | (1105) ~ (all_12_1 = e11)
% 50.31/12.51 | | | | |
% 50.31/12.51 | | | | | REDUCE: (108), (1103) imply:
% 50.31/12.51 | | | | | (1106) ~ (all_12_2 = e11)
% 50.31/12.51 | | | | |
% 50.31/12.51 | | | | | SIMP: (1106) implies:
% 50.31/12.51 | | | | | (1107) ~ (all_12_2 = e11)
% 50.31/12.51 | | | | |
% 50.31/12.51 | | | | | REDUCE: (107), (1103) imply:
% 50.31/12.51 | | | | | (1108) ~ (all_12_3 = e11)
% 50.31/12.51 | | | | |
% 50.31/12.51 | | | | | SIMP: (1108) implies:
% 50.31/12.51 | | | | | (1109) ~ (all_12_3 = e11)
% 50.31/12.51 | | | | |
% 50.31/12.51 | | | | | REDUCE: (106), (1103) imply:
% 50.31/12.51 | | | | | (1110) ~ (all_12_12 = e11)
% 50.31/12.51 | | | | |
% 50.31/12.51 | | | | | SIMP: (1110) implies:
% 50.31/12.51 | | | | | (1111) ~ (all_12_12 = e11)
% 50.31/12.51 | | | | |
% 50.31/12.51 | | | | | REDUCE: (851), (1103) imply:
% 50.31/12.51 | | | | | (1112) h4(e11) = all_28_1
% 50.31/12.51 | | | | |
% 50.31/12.51 | | | | | REDUCE: (940), (1101) imply:
% 50.31/12.51 | | | | | (1113) op1(all_12_12, all_12_12) = e13
% 50.31/12.51 | | | | |
% 50.31/12.51 | | | | | REDUCE: (943), (1099) imply:
% 50.31/12.51 | | | | | (1114) op1(all_12_15, all_12_15) = e10
% 50.31/12.51 | | | | |
% 50.31/12.51 | | | | | BETA: splitting (371) gives:
% 50.31/12.51 | | | | |
% 50.31/12.51 | | | | | Case 1:
% 50.31/12.51 | | | | | |
% 50.31/12.51 | | | | | | (1115) all_26_6 = e11
% 50.31/12.51 | | | | | |
% 50.31/12.51 | | | | | | COMBINE_EQS: (627), (1115) imply:
% 50.31/12.51 | | | | | | (1116) all_12_2 = e11
% 50.31/12.51 | | | | | |
% 50.31/12.51 | | | | | | REDUCE: (1107), (1116) imply:
% 50.31/12.51 | | | | | | (1117) $false
% 50.31/12.51 | | | | | |
% 50.31/12.51 | | | | | | CLOSE: (1117) is inconsistent.
% 50.31/12.51 | | | | | |
% 50.31/12.51 | | | | | Case 2:
% 50.31/12.51 | | | | | |
% 50.31/12.51 | | | | | | (1118) all_26_7 = e11 | all_26_8 = e11 | all_26_11 = e11
% 50.31/12.51 | | | | | |
% 50.31/12.51 | | | | | | BETA: splitting (1118) gives:
% 50.31/12.51 | | | | | |
% 50.31/12.51 | | | | | | Case 1:
% 50.31/12.51 | | | | | | |
% 50.31/12.51 | | | | | | | (1119) all_26_7 = e11
% 50.31/12.51 | | | | | | |
% 50.31/12.51 | | | | | | | COMBINE_EQS: (629), (1119) imply:
% 50.31/12.51 | | | | | | | (1120) all_12_6 = e11
% 50.31/12.51 | | | | | | |
% 50.31/12.51 | | | | | | | REDUCE: (92), (1120) imply:
% 50.31/12.51 | | | | | | | (1121) ~ (all_12_4 = e11)
% 50.31/12.51 | | | | | | |
% 50.31/12.51 | | | | | | | REDUCE: (84), (1120) imply:
% 50.31/12.51 | | | | | | | (1122) ~ (all_12_7 = e11)
% 50.31/12.51 | | | | | | |
% 50.31/12.51 | | | | | | | SIMP: (1122) implies:
% 50.31/12.51 | | | | | | | (1123) ~ (all_12_7 = e11)
% 50.31/12.51 | | | | | | |
% 50.31/12.51 | | | | | | | REDUCE: (860), (1120) imply:
% 50.31/12.51 | | | | | | | (1124) h4(e11) = all_28_19
% 50.31/12.51 | | | | | | |
% 50.31/12.51 | | | | | | | BETA: splitting (366) gives:
% 50.31/12.51 | | | | | | |
% 50.31/12.51 | | | | | | | Case 1:
% 50.31/12.51 | | | | | | | |
% 50.31/12.51 | | | | | | | | (1125) all_26_12 = e11
% 50.31/12.51 | | | | | | | |
% 50.31/12.51 | | | | | | | | COMBINE_EQS: (635), (1125) imply:
% 50.31/12.51 | | | | | | | | (1126) all_12_3 = e11
% 50.31/12.51 | | | | | | | |
% 50.31/12.51 | | | | | | | | SIMP: (1126) implies:
% 50.31/12.51 | | | | | | | | (1127) all_12_3 = e11
% 50.31/12.51 | | | | | | | |
% 50.31/12.51 | | | | | | | | REDUCE: (1109), (1127) imply:
% 50.31/12.51 | | | | | | | | (1128) $false
% 50.31/12.51 | | | | | | | |
% 50.31/12.51 | | | | | | | | CLOSE: (1128) is inconsistent.
% 50.31/12.51 | | | | | | | |
% 50.31/12.51 | | | | | | | Case 2:
% 50.31/12.51 | | | | | | | |
% 50.31/12.51 | | | | | | | | (1129) all_26_13 = e11 | all_26_14 = e11 | all_26_15 = e11
% 50.31/12.51 | | | | | | | |
% 50.31/12.51 | | | | | | | | BETA: splitting (1129) gives:
% 50.31/12.51 | | | | | | | |
% 50.31/12.51 | | | | | | | | Case 1:
% 50.31/12.51 | | | | | | | | |
% 50.31/12.51 | | | | | | | | | (1130) all_26_13 = e11
% 50.31/12.51 | | | | | | | | |
% 50.31/12.51 | | | | | | | | | COMBINE_EQS: (482), (1130) imply:
% 50.31/12.51 | | | | | | | | | (1131) all_12_7 = e11
% 50.31/12.51 | | | | | | | | |
% 50.31/12.51 | | | | | | | | | SIMP: (1131) implies:
% 50.31/12.51 | | | | | | | | | (1132) all_12_7 = e11
% 50.31/12.51 | | | | | | | | |
% 50.31/12.51 | | | | | | | | | REDUCE: (1123), (1132) imply:
% 50.31/12.51 | | | | | | | | | (1133) $false
% 50.31/12.51 | | | | | | | | |
% 50.31/12.51 | | | | | | | | | CLOSE: (1133) is inconsistent.
% 50.31/12.51 | | | | | | | | |
% 50.31/12.51 | | | | | | | | Case 2:
% 50.31/12.51 | | | | | | | | |
% 50.31/12.51 | | | | | | | | | (1134) all_26_14 = e11 | all_26_15 = e11
% 50.31/12.51 | | | | | | | | |
% 50.31/12.51 | | | | | | | | | BETA: splitting (370) gives:
% 50.31/12.51 | | | | | | | | |
% 50.31/12.51 | | | | | | | | | Case 1:
% 50.31/12.51 | | | | | | | | | |
% 50.31/12.51 | | | | | | | | | | (1135) all_26_6 = e10
% 50.31/12.51 | | | | | | | | | |
% 50.31/12.51 | | | | | | | | | | COMBINE_EQS: (627), (1135) imply:
% 50.31/12.51 | | | | | | | | | | (1136) all_12_2 = e10
% 50.31/12.51 | | | | | | | | | |
% 50.31/12.51 | | | | | | | | | | REDUCE: (100), (1136) imply:
% 50.31/12.51 | | | | | | | | | | (1137) ~ (all_12_3 = e10)
% 50.31/12.51 | | | | | | | | | |
% 50.31/12.51 | | | | | | | | | | SIMP: (1137) implies:
% 50.31/12.51 | | | | | | | | | | (1138) ~ (all_12_3 = e10)
% 50.31/12.51 | | | | | | | | | |
% 50.31/12.51 | | | | | | | | | | REDUCE: (859), (1136) imply:
% 50.31/12.51 | | | | | | | | | | (1139) h4(e10) = all_28_17
% 50.31/12.51 | | | | | | | | | |
% 50.31/12.51 | | | | | | | | | | BETA: splitting (1134) gives:
% 50.31/12.51 | | | | | | | | | |
% 50.31/12.51 | | | | | | | | | | Case 1:
% 50.31/12.51 | | | | | | | | | | |
% 50.31/12.51 | | | | | | | | | | | (1140) all_26_14 = e11
% 50.31/12.51 | | | | | | | | | | |
% 50.31/12.51 | | | | | | | | | | | COMBINE_EQS: (639), (1140) imply:
% 50.31/12.51 | | | | | | | | | | | (1141) all_12_11 = e11
% 50.31/12.51 | | | | | | | | | | |
% 50.31/12.51 | | | | | | | | | | | SIMP: (1141) implies:
% 50.31/12.51 | | | | | | | | | | | (1142) all_12_11 = e11
% 50.31/12.51 | | | | | | | | | | |
% 50.31/12.51 | | | | | | | | | | | REDUCE: (77), (1142) imply:
% 50.31/12.51 | | | | | | | | | | | (1143) ~ (all_12_8 = e11)
% 50.31/12.51 | | | | | | | | | | |
% 50.31/12.51 | | | | | | | | | | | REDUCE: (846), (1142) imply:
% 50.31/12.51 | | | | | | | | | | | (1144) ~ (e12 = e11)
% 50.31/12.51 | | | | | | | | | | |
% 50.31/12.51 | | | | | | | | | | | REDUCE: (865), (1142) imply:
% 50.31/12.51 | | | | | | | | | | | (1145) h4(e11) = all_28_32
% 50.31/12.51 | | | | | | | | | | |
% 50.31/12.51 | | | | | | | | | | | BETA: splitting (281) gives:
% 50.31/12.51 | | | | | | | | | | |
% 50.31/12.51 | | | | | | | | | | | Case 1:
% 50.31/12.51 | | | | | | | | | | | |
% 50.31/12.51 | | | | | | | | | | | | (1146) all_20_2 = e11
% 50.31/12.51 | | | | | | | | | | | |
% 50.31/12.51 | | | | | | | | | | | | COMBINE_EQS: (651), (1146) imply:
% 50.31/12.51 | | | | | | | | | | | | (1147) all_12_8 = e11
% 50.31/12.51 | | | | | | | | | | | |
% 50.31/12.51 | | | | | | | | | | | | SIMP: (1147) implies:
% 50.31/12.51 | | | | | | | | | | | | (1148) all_12_8 = e11
% 50.31/12.51 | | | | | | | | | | | |
% 50.31/12.51 | | | | | | | | | | | | REDUCE: (1143), (1148) imply:
% 50.31/12.51 | | | | | | | | | | | | (1149) $false
% 50.31/12.51 | | | | | | | | | | | |
% 50.31/12.51 | | | | | | | | | | | | CLOSE: (1149) is inconsistent.
% 50.31/12.51 | | | | | | | | | | | |
% 50.31/12.51 | | | | | | | | | | | Case 2:
% 50.31/12.51 | | | | | | | | | | | |
% 50.31/12.51 | | | | | | | | | | | | (1150) all_20_2 = e13 | all_20_2 = e12 | all_20_2 = e10
% 50.31/12.51 | | | | | | | | | | | |
% 50.31/12.52 | | | | | | | | | | | | BETA: splitting (1150) gives:
% 50.31/12.52 | | | | | | | | | | | |
% 50.31/12.52 | | | | | | | | | | | | Case 1:
% 50.31/12.52 | | | | | | | | | | | | |
% 50.31/12.52 | | | | | | | | | | | | | (1151) all_20_2 = e12
% 50.31/12.52 | | | | | | | | | | | | |
% 50.31/12.52 | | | | | | | | | | | | | COMBINE_EQS: (651), (1151) imply:
% 50.31/12.52 | | | | | | | | | | | | | (1152) all_12_8 = e12
% 50.31/12.52 | | | | | | | | | | | | |
% 50.31/12.52 | | | | | | | | | | | | | SIMP: (1152) implies:
% 50.31/12.52 | | | | | | | | | | | | | (1153) all_12_8 = e12
% 50.31/12.52 | | | | | | | | | | | | |
% 50.31/12.52 | | | | | | | | | | | | | REDUCE: (838), (1153) imply:
% 50.31/12.52 | | | | | | | | | | | | | (1154) $false
% 50.31/12.52 | | | | | | | | | | | | |
% 50.31/12.52 | | | | | | | | | | | | | CLOSE: (1154) is inconsistent.
% 50.31/12.52 | | | | | | | | | | | | |
% 50.31/12.52 | | | | | | | | | | | | Case 2:
% 50.31/12.52 | | | | | | | | | | | | |
% 50.31/12.52 | | | | | | | | | | | | | (1155) ~ (all_20_2 = e12)
% 50.31/12.52 | | | | | | | | | | | | | (1156) all_20_2 = e13 | all_20_2 = e10
% 50.31/12.52 | | | | | | | | | | | | |
% 50.31/12.52 | | | | | | | | | | | | | BETA: splitting (372) gives:
% 50.31/12.52 | | | | | | | | | | | | |
% 50.31/12.52 | | | | | | | | | | | | | Case 1:
% 50.31/12.52 | | | | | | | | | | | | | |
% 50.31/12.52 | | | | | | | | | | | | | | (1157) all_26_4 = e13
% 50.31/12.52 | | | | | | | | | | | | | |
% 50.31/12.52 | | | | | | | | | | | | | | COMBINE_EQS: (614), (1157) imply:
% 50.31/12.52 | | | | | | | | | | | | | | (1158) all_12_8 = e13
% 50.31/12.52 | | | | | | | | | | | | | |
% 50.31/12.52 | | | | | | | | | | | | | | REDUCE: (90), (1158) imply:
% 50.31/12.52 | | | | | | | | | | | | | | (1159) ~ (all_12_4 = e13)
% 50.31/12.52 | | | | | | | | | | | | | |
% 50.31/12.52 | | | | | | | | | | | | | | REDUCE: (76), (1158) imply:
% 50.31/12.52 | | | | | | | | | | | | | | (1160) ~ (all_12_12 = e13)
% 50.31/12.52 | | | | | | | | | | | | | |
% 50.31/12.52 | | | | | | | | | | | | | | REDUCE: (838), (1158) imply:
% 50.31/12.52 | | | | | | | | | | | | | | (1161) ~ (e13 = e12)
% 50.31/12.52 | | | | | | | | | | | | | |
% 50.31/12.52 | | | | | | | | | | | | | | REDUCE: (853), (1158) imply:
% 50.31/12.52 | | | | | | | | | | | | | | (1162) h4(e13) = all_28_5
% 50.31/12.52 | | | | | | | | | | | | | |
% 50.31/12.52 | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_8_2, all_28_17, e10,
% 50.31/12.52 | | | | | | | | | | | | | | simplifying with (52), (1139) gives:
% 50.31/12.52 | | | | | | | | | | | | | | (1163) all_28_17 = all_8_2
% 50.31/12.52 | | | | | | | | | | | | | |
% 50.31/12.52 | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with e23, all_28_19, e11,
% 50.31/12.52 | | | | | | | | | | | | | | simplifying with (53), (1124) gives:
% 50.31/12.52 | | | | | | | | | | | | | | (1164) all_28_19 = e23
% 50.31/12.52 | | | | | | | | | | | | | |
% 50.31/12.52 | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_28_19, all_28_1, e11,
% 50.31/12.52 | | | | | | | | | | | | | | simplifying with (1112), (1124) gives:
% 50.31/12.52 | | | | | | | | | | | | | | (1165) all_28_1 = all_28_19
% 50.31/12.52 | | | | | | | | | | | | | |
% 50.31/12.52 | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_28_32, all_28_1, e11,
% 50.31/12.52 | | | | | | | | | | | | | | simplifying with (1112), (1145) gives:
% 50.31/12.52 | | | | | | | | | | | | | | (1166) all_28_1 = all_28_32
% 50.31/12.52 | | | | | | | | | | | | | |
% 50.58/12.55 | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_8_0, all_28_5, e13,
% 50.58/12.55 | | | | | | | | | | | | | | simplifying with (55), (1162) gives:
% 50.58/12.55 | | | | | | | | | | | | | | (1167) all_28_5 = all_8_0
% 50.58/12.55 | | | | | | | | | | | | | |
% 50.58/12.55 | | | | | | | | | | | | | | COMBINE_EQS: (1165), (1166) imply:
% 50.58/12.55 | | | | | | | | | | | | | | (1168) all_28_19 = all_28_32
% 50.58/12.55 | | | | | | | | | | | | | |
% 50.58/12.55 | | | | | | | | | | | | | | SIMP: (1168) implies:
% 50.58/12.55 | | | | | | | | | | | | | | (1169) all_28_19 = all_28_32
% 50.58/12.55 | | | | | | | | | | | | | |
% 50.58/12.55 | | | | | | | | | | | | | | COMBINE_EQS: (1164), (1169) imply:
% 50.58/12.55 | | | | | | | | | | | | | | (1170) all_28_32 = e23
% 50.58/12.55 | | | | | | | | | | | | | |
% 50.58/12.55 | | | | | | | | | | | | | | SIMP: (1170) implies:
% 50.58/12.55 | | | | | | | | | | | | | | (1171) all_28_32 = e23
% 50.58/12.55 | | | | | | | | | | | | | |
% 50.58/12.55 | | | | | | | | | | | | | | COMBINE_EQS: (1166), (1171) imply:
% 50.58/12.55 | | | | | | | | | | | | | | (1172) all_28_1 = e23
% 50.58/12.55 | | | | | | | | | | | | | |
% 50.58/12.55 | | | | | | | | | | | | | | BETA: splitting (282) gives:
% 50.58/12.55 | | | | | | | | | | | | | |
% 50.58/12.55 | | | | | | | | | | | | | | Case 1:
% 50.58/12.55 | | | | | | | | | | | | | | |
% 50.58/12.55 | | | | | | | | | | | | | | | (1173) all_20_1 = e11
% 50.58/12.55 | | | | | | | | | | | | | | |
% 50.58/12.55 | | | | | | | | | | | | | | | REF_CLOSE: (531), (1121), (1173) are inconsistent by
% 50.58/12.55 | | | | | | | | | | | | | | | sub-proof #96.
% 50.58/12.55 | | | | | | | | | | | | | | |
% 50.58/12.55 | | | | | | | | | | | | | | Case 2:
% 50.58/12.55 | | | | | | | | | | | | | | |
% 50.58/12.55 | | | | | | | | | | | | | | | (1174) ~ (all_20_1 = e11)
% 50.58/12.55 | | | | | | | | | | | | | | | (1175) all_20_1 = e13 | all_20_1 = e12 | all_20_1 = e10
% 50.58/12.55 | | | | | | | | | | | | | | |
% 50.58/12.55 | | | | | | | | | | | | | | | BETA: splitting (253) gives:
% 50.58/12.55 | | | | | | | | | | | | | | |
% 50.58/12.55 | | | | | | | | | | | | | | | Case 1:
% 50.58/12.55 | | | | | | | | | | | | | | | |
% 50.58/12.55 | | | | | | | | | | | | | | | | (1176) (all_18_0 = e23 & all_18_2 = e22 & all_18_4 = e21
% 50.58/12.55 | | | | | | | | | | | | | | | | & all_18_6 = e20) | (all_18_8 = e23 & all_18_10
% 50.58/12.55 | | | | | | | | | | | | | | | | = e22 & all_18_12 = e21 & all_18_14 = e20)
% 50.58/12.55 | | | | | | | | | | | | | | | |
% 50.58/12.55 | | | | | | | | | | | | | | | | BETA: splitting (1176) gives:
% 50.58/12.55 | | | | | | | | | | | | | | | |
% 50.58/12.55 | | | | | | | | | | | | | | | | Case 1:
% 50.58/12.55 | | | | | | | | | | | | | | | | |
% 50.58/12.55 | | | | | | | | | | | | | | | | | (1177) all_18_0 = e23 & all_18_2 = e22 & all_18_4 = e21 &
% 50.58/12.55 | | | | | | | | | | | | | | | | | all_18_6 = e20
% 50.58/12.55 | | | | | | | | | | | | | | | | |
% 50.58/12.55 | | | | | | | | | | | | | | | | | ALPHA: (1177) implies:
% 50.58/12.55 | | | | | | | | | | | | | | | | | (1178) all_18_4 = e21
% 50.58/12.55 | | | | | | | | | | | | | | | | |
% 50.58/12.55 | | | | | | | | | | | | | | | | | REDUCE: (915), (1178) imply:
% 50.58/12.55 | | | | | | | | | | | | | | | | | (1179) op2(all_14_2, all_14_2) = e21
% 50.58/12.55 | | | | | | | | | | | | | | | | |
% 50.58/12.55 | | | | | | | | | | | | | | | | | BETA: splitting (306) gives:
% 50.58/12.55 | | | | | | | | | | | | | | | | |
% 50.58/12.55 | | | | | | | | | | | | | | | | | Case 1:
% 50.58/12.55 | | | | | | | | | | | | | | | | | |
% 50.58/12.55 | | | | | | | | | | | | | | | | | | (1180) all_22_7 = e21
% 50.58/12.55 | | | | | | | | | | | | | | | | | |
% 50.58/12.55 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (695), (1180) imply:
% 50.58/12.56 | | | | | | | | | | | | | | | | | | (1181) all_14_13 = e21
% 50.58/12.56 | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | SIMP: (1181) implies:
% 50.58/12.56 | | | | | | | | | | | | | | | | | | (1182) all_14_13 = e21
% 50.58/12.56 | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | REDUCE: (132), (1182) imply:
% 50.58/12.56 | | | | | | | | | | | | | | | | | | (1183) ~ (all_14_12 = e21)
% 50.58/12.56 | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | REDUCE: (926), (1182) imply:
% 50.58/12.56 | | | | | | | | | | | | | | | | | | (1184) op2(e21, e21) = all_18_26
% 50.58/12.56 | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | BETA: splitting (309) gives:
% 50.58/12.56 | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | Case 1:
% 50.58/12.56 | | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | (1185) all_22_3 = e21
% 50.58/12.56 | | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (693), (1183), (1185) are inconsistent by
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | sub-proof #95.
% 50.58/12.56 | | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | Case 2:
% 50.58/12.56 | | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | (1186) all_22_3 = e23 | all_22_3 = e22 | all_22_3 = e20
% 50.58/12.56 | | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | BETA: splitting (1186) gives:
% 50.58/12.56 | | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | Case 1:
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | (1187) all_22_3 = e22
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (693), (1187) imply:
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | (1188) all_14_12 = e22
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | SIMP: (1188) implies:
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | (1189) all_14_12 = e22
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | REDUCE: (151), (1189) imply:
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | (1190) ~ (all_14_4 = e22)
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (33) with e22, all_18_26, e21, e21,
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | simplifying with (21), (1184) gives:
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | (1191) all_18_26 = e22
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | BETA: splitting (305) gives:
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | (1192) all_22_8 = e21
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (687), (1192) imply:
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | (1193) all_14_2 = e21
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (33), (800), (1179), (1193) are inconsistent
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | by sub-proof #93.
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | Case 2:
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | (1194) ~ (all_22_8 = e21)
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | (1195) all_22_8 = e23 | all_22_8 = e22 | all_22_8 = e20
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | REDUCE: (687), (1194) imply:
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | (1196) ~ (all_14_2 = e21)
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (335) gives:
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | (1197) all_24_6 = e21
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (566), (1196), (1197) are inconsistent by
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | sub-proof #92.
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | (1198) all_24_7 = e21 | all_24_8 = e21 | all_24_11 = e21
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1198) gives:
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | (1199) all_24_7 = e21
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (563), (1199) imply:
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | (1200) all_14_6 = e21
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1200) implies:
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | (1201) all_14_6 = e21
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (154), (1201) imply:
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | (1202) ~ (all_14_4 = e21)
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (1201) imply:
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | (1203) ~ (all_14_7 = e21)
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1203) implies:
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | (1204) ~ (all_14_7 = e21)
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (805), (1201) imply:
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | (1205) ~ (all_6_1 = e21)
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1205) implies:
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | (1206) ~ (all_6_1 = e21)
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (334) gives:
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | (1207) all_24_6 = e20
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (566), (1207) imply:
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | (1208) all_14_2 = e20
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1208) implies:
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | (1209) all_14_2 = e20
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1179), (1209) imply:
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | (1210) op2(e20, e20) = e21
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (340) gives:
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | (1211) all_24_1 = e20
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (33), (589), (917), (1012), (1202), (1210), (1211)
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #91.
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | (1212) ~ (all_24_1 = e20)
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (589), (1212) imply:
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | (1213) ~ (all_14_4 = e20)
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (311) gives:
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (1214) all_22_1 = e21
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (676), (1214) imply:
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (1215) all_14_4 = e21
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1202), (1215) imply:
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (1216) $false
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1216) is inconsistent.
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (1217) ~ (all_22_1 = e21)
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | (1218) all_22_1 = e23 | all_22_1 = e22 | all_22_1 = e20
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1218) gives:
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1219) all_22_1 = e22
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (676), (1219) imply:
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1220) all_14_4 = e22
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1190), (1220) imply:
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1221) $false
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1221) is inconsistent.
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1222) all_22_1 = e23 | all_22_1 = e20
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1222) gives:
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1223) all_22_1 = e23
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (676), (1223) imply:
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1224) all_14_4 = e23
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (153), (1224) imply:
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1225) ~ (all_14_7 = e23)
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1225) implies:
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1226) ~ (all_14_7 = e23)
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (302) gives:
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1227) all_22_13 = e21
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (546), (1227) imply:
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1228) all_14_7 = e21
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1204), (1228) imply:
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1229) $false
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1229) is inconsistent.
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1230) all_22_13 = e23 | all_22_13 = e22 | all_22_13 =
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (153), (307), (311), (546), (676), (681), (803),
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (807), (808), (1007), (1202), (1206), (1213),
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1226), (1230) are inconsistent by sub-proof #86.
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1231) all_22_1 = e20
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (676), (1231) imply:
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1232) all_14_4 = e20
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1213), (1232) imply:
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1233) $false
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1233) is inconsistent.
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | (1234) ~ (all_24_6 = e20)
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (566), (1234) imply:
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | (1235) ~ (all_14_2 = e20)
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (687), (800), (801), (1195), (1235) are
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #85.
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 50.58/12.56 | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | | | (1236) ~ (all_24_7 = e21)
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (563), (1236) imply:
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | | | (1237) ~ (all_14_6 = e21)
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (304) gives:
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | | | | (1238) all_22_9 = e21
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (689), (1238) imply:
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | | | | (1239) all_14_6 = e21
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1237), (1239) imply:
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | | | | (1240) $false
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1240) is inconsistent.
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | | | | (1241) all_22_9 = e23 | all_22_9 = e22 | all_22_9 = e20
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (33), (161), (305), (687), (689), (800),
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | | | | (801), (811), (812), (1179), (1241) are
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #83.
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | | End of split
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | End of split
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | End of split
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | |
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | Case 2:
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | |
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | (1242) all_22_3 = e23 | all_22_3 = e20
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | |
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (693), (825), (1008), (1242) are inconsistent by
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | sub-proof #82.
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | |
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | End of split
% 50.58/12.57 | | | | | | | | | | | | | | | | | | |
% 50.58/12.57 | | | | | | | | | | | | | | | | | | End of split
% 50.58/12.57 | | | | | | | | | | | | | | | | | |
% 50.58/12.57 | | | | | | | | | | | | | | | | | Case 2:
% 50.58/12.57 | | | | | | | | | | | | | | | | | |
% 50.58/12.57 | | | | | | | | | | | | | | | | | | (1243) all_22_7 = e23 | all_22_7 = e22 | all_22_7 = e20
% 50.58/12.57 | | | | | | | | | | | | | | | | | |
% 50.58/12.57 | | | | | | | | | | | | | | | | | | BETA: splitting (1243) gives:
% 50.58/12.57 | | | | | | | | | | | | | | | | | |
% 50.58/12.57 | | | | | | | | | | | | | | | | | | Case 1:
% 50.58/12.57 | | | | | | | | | | | | | | | | | | |
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | (1244) all_22_7 = e22
% 50.58/12.57 | | | | | | | | | | | | | | | | | | |
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (695), (1244) imply:
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | (1245) all_14_13 = e22
% 50.58/12.57 | | | | | | | | | | | | | | | | | | |
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | SIMP: (1245) implies:
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | (1246) all_14_13 = e22
% 50.58/12.57 | | | | | | | | | | | | | | | | | | |
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | REDUCE: (132), (1246) imply:
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | (1247) ~ (all_14_12 = e22)
% 50.58/12.57 | | | | | | | | | | | | | | | | | | |
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | REDUCE: (810), (1246) imply:
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | (1248) ~ (all_6_1 = e22)
% 50.58/12.57 | | | | | | | | | | | | | | | | | | |
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | SIMP: (1248) implies:
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | (1249) ~ (all_6_1 = e22)
% 50.58/12.57 | | | | | | | | | | | | | | | | | | |
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | BETA: splitting (309) gives:
% 50.58/12.57 | | | | | | | | | | | | | | | | | | |
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | Case 1:
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | |
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | (1250) all_22_3 = e21
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | |
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (693), (1250) imply:
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | (1251) all_14_12 = e21
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | |
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | SIMP: (1251) implies:
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | (1252) all_14_12 = e21
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | |
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | REDUCE: (138), (1252) imply:
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | (1253) ~ (all_14_8 = e21)
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | |
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | REDUCE: (797), (1252) imply:
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | (1254) ~ (all_8_1 = e21)
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | |
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | SIMP: (1254) implies:
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | (1255) ~ (all_8_1 = e21)
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | |
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | REDUCE: (1247), (1252) imply:
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | (1256) ~ (e22 = e21)
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | |
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | REDUCE: (925), (1252) imply:
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | (1257) op2(e21, e21) = all_18_24
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | |
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | BETA: splitting (310) gives:
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | |
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | (1258) all_22_2 = e21
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (584), (1253), (1258) are inconsistent by
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | sub-proof #81.
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | Case 2:
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | (1259) ~ (all_22_2 = e21)
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | (1260) all_22_2 = e23 | all_22_2 = e22 | all_22_2 = e20
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1260) gives:
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | | (1261) all_22_2 = e22
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (584), (815), (1261) are inconsistent by sub-proof
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | | #80.
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | | (1262) all_22_2 = e23 | all_22_2 = e20
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1262) gives:
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | | | (1263) all_22_2 = e23
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (584), (1263) imply:
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | | | (1264) all_14_8 = e23
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1264) implies:
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | | | (1265) all_14_8 = e23
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (776), (1265) imply:
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | | | (1266) all_24_4 = e23
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (795), (1265) imply:
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | | | (1267) ~ (all_8_1 = e23)
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1267) implies:
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | | | (1268) ~ (all_8_1 = e23)
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (301) gives:
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | | | | (1269) all_22_14 = e21
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (543), (1269) imply:
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | | | | (1270) all_14_11 = e21
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (924), (1270) imply:
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | | | | (1271) op2(e21, e21) = all_18_22
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (33) with e22, all_18_22, e21, e21,
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (21), (1271) gives:
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | | | | (1272) all_18_22 = e22
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (33) with all_18_24, all_18_22, e21,
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | | | | e21, simplifying with (1257), (1271) gives:
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | | | | (1273) all_18_22 = all_18_24
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1272), (1273) imply:
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | | | | (1274) all_18_24 = e22
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1274) implies:
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | | | | (1275) all_18_24 = e22
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (304) gives:
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | (1276) all_22_9 = e21
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (689), (1276) imply:
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | (1277) all_14_6 = e21
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1277) implies:
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | (1278) all_14_6 = e21
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (154), (1278) imply:
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | | | | | (1279) ~ (all_14_4 = e21)
% 50.58/12.57 | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (805), (1278) imply:
% 50.58/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | (1280) ~ (all_6_1 = e21)
% 50.58/12.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1280) implies:
% 50.58/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | (1281) ~ (all_6_1 = e21)
% 50.58/12.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (334) gives:
% 50.58/12.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.58/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (1282) all_24_6 = e20
% 50.58/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (566), (1282) imply:
% 50.58/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (1283) all_14_2 = e20
% 50.58/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1283) implies:
% 50.58/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (1284) all_14_2 = e20
% 50.58/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (789), (1284) imply:
% 50.58/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (1285) ~ (all_8_1 = e20)
% 50.58/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1285) implies:
% 50.58/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (1286) ~ (all_8_1 = e20)
% 50.58/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1179), (1284) imply:
% 50.58/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (1287) op2(e20, e20) = e21
% 50.58/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (312) gives:
% 50.58/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.58/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1288) all_22_0 = e21
% 50.58/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (675), (1255), (1288) are inconsistent by
% 50.58/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #79.
% 50.58/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 50.58/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1289) all_22_0 = e23 | all_22_0 = e22 | all_22_0 = e20
% 50.58/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1289) gives:
% 50.58/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.58/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.58/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1290) all_22_0 = e22
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (675), (1290) imply:
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1291) all_8_1 = e22
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1291) implies:
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1292) all_8_1 = e22
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (793), (1292) imply:
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1293) ~ (all_14_4 = e22)
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (311) gives:
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1294) all_22_1 = e21
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (676), (1279), (1294) are inconsistent by
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #78.
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1295) ~ (all_22_1 = e21)
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1296) all_22_1 = e23 | all_22_1 = e22 | all_22_1 = e20
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (340) gives:
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1297) all_24_1 = e20
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (33), (589), (917), (1012), (1279), (1287), (1297)
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #91.
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1298) ~ (all_24_1 = e20)
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (589), (1298) imply:
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1299) ~ (all_14_4 = e20)
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (307), (676), (681), (803), (808), (1249), (1281),
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1293), (1296), (1299) are inconsistent by
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #88.
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1300) all_22_0 = e23 | all_22_0 = e20
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (675), (1268), (1286), (1300) are inconsistent by
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #76.
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (1301) ~ (all_24_6 = e20)
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (566), (1301) imply:
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (1302) ~ (all_14_2 = e20)
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (33), (305), (687), (800), (801), (1179),
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | | (1302) are inconsistent by sub-proof #84.
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | (1303) all_22_9 = e23 | all_22_9 = e22 | all_22_9 = e20
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (33), (161), (305), (687), (689), (800),
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | (801), (811), (812), (1179), (1303) are
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #83.
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | | | (1304) ~ (all_22_14 = e21)
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (543), (1304) imply:
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | | | (1305) ~ (all_14_11 = e21)
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (12), (14), (336), (573), (773), (775),
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | | | (1266), (1305) are inconsistent by sub-proof #74.
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | | (1306) all_22_2 = e20
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (584), (814), (1306) are inconsistent by sub-proof
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | | #73.
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | | End of split
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | | End of split
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | End of split
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | |
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | Case 2:
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | |
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | (1307) all_22_3 = e23 | all_22_3 = e22 | all_22_3 = e20
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | |
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (693), (825), (1008), (1247), (1307) are
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #72.
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | |
% 50.70/12.58 | | | | | | | | | | | | | | | | | | | End of split
% 50.70/12.58 | | | | | | | | | | | | | | | | | | |
% 50.70/12.58 | | | | | | | | | | | | | | | | | | Case 2:
% 50.70/12.58 | | | | | | | | | | | | | | | | | | |
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | (1308) all_22_7 = e23 | all_22_7 = e20
% 50.70/12.59 | | | | | | | | | | | | | | | | | | |
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (695), (821), (827), (1308) are inconsistent by
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | sub-proof #71.
% 50.70/12.59 | | | | | | | | | | | | | | | | | | |
% 50.70/12.59 | | | | | | | | | | | | | | | | | | End of split
% 50.70/12.59 | | | | | | | | | | | | | | | | | |
% 50.70/12.59 | | | | | | | | | | | | | | | | | End of split
% 50.70/12.59 | | | | | | | | | | | | | | | | |
% 50.70/12.59 | | | | | | | | | | | | | | | | Case 2:
% 50.70/12.59 | | | | | | | | | | | | | | | | |
% 50.70/12.59 | | | | | | | | | | | | | | | | | (1309) all_18_8 = e23 & all_18_10 = e22 & all_18_12 = e21
% 50.70/12.59 | | | | | | | | | | | | | | | | | & all_18_14 = e20
% 50.70/12.59 | | | | | | | | | | | | | | | | |
% 50.70/12.59 | | | | | | | | | | | | | | | | | ALPHA: (1309) implies:
% 50.70/12.59 | | | | | | | | | | | | | | | | | (1310) all_18_12 = e21
% 50.70/12.59 | | | | | | | | | | | | | | | | |
% 50.70/12.59 | | | | | | | | | | | | | | | | | REDUCE: (919), (1310) imply:
% 50.70/12.59 | | | | | | | | | | | | | | | | | (1311) op2(all_14_6, all_14_6) = e21
% 50.70/12.59 | | | | | | | | | | | | | | | | |
% 50.70/12.59 | | | | | | | | | | | | | | | | | BETA: splitting (306) gives:
% 50.70/12.59 | | | | | | | | | | | | | | | | |
% 50.70/12.59 | | | | | | | | | | | | | | | | | Case 1:
% 50.70/12.59 | | | | | | | | | | | | | | | | | |
% 50.70/12.59 | | | | | | | | | | | | | | | | | | (1312) all_22_7 = e21
% 50.70/12.59 | | | | | | | | | | | | | | | | | |
% 50.70/12.59 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (695), (1312) imply:
% 50.70/12.59 | | | | | | | | | | | | | | | | | | (1313) all_14_13 = e21
% 50.70/12.59 | | | | | | | | | | | | | | | | | |
% 50.70/12.59 | | | | | | | | | | | | | | | | | | SIMP: (1313) implies:
% 50.70/12.59 | | | | | | | | | | | | | | | | | | (1314) all_14_13 = e21
% 50.70/12.59 | | | | | | | | | | | | | | | | | |
% 50.70/12.59 | | | | | | | | | | | | | | | | | | REDUCE: (132), (1314) imply:
% 50.70/12.59 | | | | | | | | | | | | | | | | | | (1315) ~ (all_14_12 = e21)
% 50.70/12.59 | | | | | | | | | | | | | | | | | |
% 50.70/12.59 | | | | | | | | | | | | | | | | | | REDUCE: (827), (1314) imply:
% 50.70/12.59 | | | | | | | | | | | | | | | | | | (1316) ~ (e23 = e21)
% 50.70/12.59 | | | | | | | | | | | | | | | | | |
% 50.70/12.59 | | | | | | | | | | | | | | | | | | REDUCE: (926), (1314) imply:
% 50.70/12.59 | | | | | | | | | | | | | | | | | | (1317) op2(e21, e21) = all_18_26
% 50.70/12.59 | | | | | | | | | | | | | | | | | |
% 50.70/12.59 | | | | | | | | | | | | | | | | | | BETA: splitting (309) gives:
% 50.70/12.59 | | | | | | | | | | | | | | | | | |
% 50.70/12.59 | | | | | | | | | | | | | | | | | | Case 1:
% 50.70/12.59 | | | | | | | | | | | | | | | | | | |
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | (1318) all_22_3 = e21
% 50.70/12.59 | | | | | | | | | | | | | | | | | | |
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (693), (1315), (1318) are inconsistent by
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | sub-proof #95.
% 50.70/12.59 | | | | | | | | | | | | | | | | | | |
% 50.70/12.59 | | | | | | | | | | | | | | | | | | Case 2:
% 50.70/12.59 | | | | | | | | | | | | | | | | | | |
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | (1319) ~ (all_22_3 = e21)
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | (1320) all_22_3 = e23 | all_22_3 = e22 | all_22_3 = e20
% 50.70/12.59 | | | | | | | | | | | | | | | | | | |
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | BETA: splitting (1320) gives:
% 50.70/12.59 | | | | | | | | | | | | | | | | | | |
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | Case 1:
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | |
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | (1321) all_22_3 = e22
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | |
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (693), (1321) imply:
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | (1322) all_14_12 = e22
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | |
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | SIMP: (1322) implies:
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | (1323) all_14_12 = e22
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | |
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | REDUCE: (797), (1323) imply:
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | (1324) ~ (all_8_1 = e22)
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | |
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | SIMP: (1324) implies:
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | (1325) ~ (all_8_1 = e22)
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | |
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (33) with e22, all_18_26, e21, e21,
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | simplifying with (21), (1317) gives:
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | (1326) all_18_26 = e22
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | |
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | BETA: splitting (305) gives:
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | |
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | | (1327) all_22_8 = e21
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (687), (1327) imply:
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | | (1328) all_14_2 = e21
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (566), (1328) imply:
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | | (1329) all_24_6 = e21
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | | REDUCE: (167), (1328) imply:
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | | (1330) ~ (all_14_1 = e21)
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | | REDUCE: (162), (1328) imply:
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | | (1331) ~ (all_14_3 = e21)
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | | SIMP: (1331) implies:
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | | (1332) ~ (all_14_3 = e21)
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | | REDUCE: (161), (1328) imply:
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | | (1333) ~ (all_14_6 = e21)
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | | SIMP: (1333) implies:
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | | (1334) ~ (all_14_6 = e21)
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | | REDUCE: (789), (1328) imply:
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | | (1335) ~ (all_8_1 = e21)
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | | SIMP: (1335) implies:
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | | (1336) ~ (all_8_1 = e21)
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (304) gives:
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | | | (1337) all_22_9 = e21
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (689), (1337) imply:
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | | | (1338) all_14_6 = e21
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1334), (1338) imply:
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | | | (1339) $false
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1339) is inconsistent.
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | | | (1340) ~ (all_22_9 = e21)
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | | | (1341) all_22_9 = e23 | all_22_9 = e22 | all_22_9 = e20
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (343) gives:
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | | | | (1342) all_24_0 = e20
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (593), (1342) imply:
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | | | | (1343) all_8_1 = e20
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1343) implies:
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | | | | (1344) all_8_1 = e20
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1336), (1344) imply:
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | | | | (1345) ~ (e21 = e20)
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (913), (1344) imply:
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | | | | (1346) op2(e20, e20) = all_18_0
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (334) gives:
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | | | | | (1347) all_24_6 = e20
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1329), (1347) imply:
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | | | | | (1348) e21 = e20
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (1348) imply:
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | | | | | (1349) $false
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1349) is inconsistent.
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | | | | | (1350) all_24_7 = e20 | all_24_8 = e20 | all_24_11 = e20
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1350) gives:
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | (1351) all_24_7 = e20
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (563), (1351) imply:
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | (1352) all_14_6 = e20
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1352) implies:
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | (1353) all_14_6 = e20
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1311), (1353) imply:
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | (1354) op2(e20, e20) = e21
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.59 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (33), (1012), (1346), (1354) are
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #70.
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | (1355) ~ (all_24_7 = e20)
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (563), (689), (811), (812), (1341), (1355) are
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #67.
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | (1356) ~ (all_24_0 = e20)
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (593), (1356) imply:
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | (1357) ~ (all_8_1 = e20)
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (312) gives:
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | (1358) all_22_0 = e21
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (675), (1336), (1358) are inconsistent by
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #79.
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | (1359) all_22_0 = e23 | all_22_0 = e22 | all_22_0 = e20
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1359) gives:
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | (1360) all_22_0 = e22
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (675), (1325), (1360) are inconsistent by
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #66.
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | (1361) all_22_0 = e23 | all_22_0 = e20
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1361) gives:
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (1362) all_22_0 = e23
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (675), (1362) imply:
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (1363) all_8_1 = e23
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1363) implies:
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (1364) all_8_1 = e23
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (791), (1364) imply:
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (1365) ~ (all_14_3 = e23)
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (308) gives:
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1366) all_22_4 = e21
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (679), (1330), (1366) are inconsistent by
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #65.
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1367) all_22_4 = e23 | all_22_4 = e22 | all_22_4 = e20
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (303) gives:
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1368) all_22_12 = e21
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (699), (1368) imply:
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1369) all_14_3 = e21
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1332), (1369) imply:
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1370) $false
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1370) is inconsistent.
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1371) all_22_12 = e23 | all_22_12 = e22 | all_22_12 =
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1371) gives:
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1372) all_22_12 = e22
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (699), (1372) imply:
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1373) all_14_3 = e22
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (166), (1373) imply:
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1374) ~ (all_14_1 = e22)
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (675), (679), (787), (799), (1357), (1361),
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1367), (1374) are inconsistent by sub-proof #62.
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1375) all_22_12 = e23 | all_22_12 = e20
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (699), (1006), (1365), (1375) are inconsistent by
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #61.
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | (1376) all_22_0 = e20
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (675), (1357), (1376) are inconsistent by
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #77.
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | End of split
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | End of split
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | Case 2:
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | (1377) ~ (all_22_8 = e21)
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | REDUCE: (687), (1377) imply:
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | (1378) ~ (all_14_2 = e21)
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (335) gives:
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | (1379) all_24_6 = e21
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (566), (1378), (1379) are inconsistent by
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | sub-proof #92.
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | (1380) all_24_7 = e21 | all_24_8 = e21 | all_24_11 = e21
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1380) gives:
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | (1381) all_24_7 = e21
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (563), (1381) imply:
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | (1382) all_14_6 = e21
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (33), (811), (1311), (1382) are inconsistent
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #60.
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | (1383) all_24_8 = e21 | all_24_11 = e21
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (14), (555), (775), (1383) are inconsistent
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #58.
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | End of split
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | End of split
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | End of split
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | Case 2:
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | (1384) all_22_3 = e23 | all_22_3 = e20
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (693), (825), (1008), (1384) are inconsistent by
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | sub-proof #82.
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | End of split
% 50.70/12.60 | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | End of split
% 50.70/12.60 | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | Case 2:
% 50.70/12.60 | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | (1385) all_22_7 = e23 | all_22_7 = e22 | all_22_7 = e20
% 50.70/12.60 | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | BETA: splitting (1385) gives:
% 50.70/12.60 | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | Case 1:
% 50.70/12.60 | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | (1386) all_22_7 = e22
% 50.70/12.60 | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (695), (1386) imply:
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | (1387) all_14_13 = e22
% 50.70/12.60 | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | SIMP: (1387) implies:
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | (1388) all_14_13 = e22
% 50.70/12.60 | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | REDUCE: (132), (1388) imply:
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | (1389) ~ (all_14_12 = e22)
% 50.70/12.60 | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | BETA: splitting (309) gives:
% 50.70/12.60 | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | Case 1:
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | (1390) all_22_3 = e21
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (693), (1390) imply:
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | (1391) all_14_12 = e21
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | SIMP: (1391) implies:
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | (1392) all_14_12 = e21
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | REDUCE: (151), (1392) imply:
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | (1393) ~ (all_14_4 = e21)
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | REDUCE: (138), (1392) imply:
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | (1394) ~ (all_14_8 = e21)
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | REDUCE: (797), (1392) imply:
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | (1395) ~ (all_8_1 = e21)
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | SIMP: (1395) implies:
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | (1396) ~ (all_8_1 = e21)
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | REDUCE: (1389), (1392) imply:
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | (1397) ~ (e22 = e21)
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | REDUCE: (925), (1392) imply:
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | (1398) op2(e21, e21) = all_18_24
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | BETA: splitting (310) gives:
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | (1399) all_22_2 = e21
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (584), (1394), (1399) are inconsistent by
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | sub-proof #81.
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | Case 2:
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | (1400) ~ (all_22_2 = e21)
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | (1401) all_22_2 = e23 | all_22_2 = e22 | all_22_2 = e20
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1401) gives:
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | (1402) all_22_2 = e22
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (584), (815), (1402) are inconsistent by sub-proof
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | #80.
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | (1403) ~ (all_22_2 = e22)
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | (1404) all_22_2 = e23 | all_22_2 = e20
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1404) gives:
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | (1405) all_22_2 = e23
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.60 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (584), (1405) imply:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | (1406) all_14_8 = e23
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1406) implies:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | (1407) all_14_8 = e23
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (776), (1407) imply:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | (1408) all_24_4 = e23
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (139), (1407) imply:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | (1409) ~ (all_14_11 = e23)
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1409) implies:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | (1410) ~ (all_14_11 = e23)
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (815), (1407) imply:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | (1411) ~ (e23 = e22)
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (301) gives:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | (1412) all_22_14 = e21
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (543), (1412) imply:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | (1413) all_14_11 = e21
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (157), (1413) imply:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | (1414) ~ (all_14_3 = e21)
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (143), (1413) imply:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | (1415) ~ (all_14_7 = e21)
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1410), (1413) imply:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | (1416) ~ (e23 = e21)
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (924), (1413) imply:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | (1417) op2(e21, e21) = all_18_22
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (33) with e22, all_18_22, e21, e21,
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (21), (1417) gives:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | (1418) all_18_22 = e22
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (33) with all_18_24, all_18_22, e21,
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | e21, simplifying with (1398), (1417) gives:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | (1419) all_18_22 = all_18_24
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1418), (1419) imply:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | (1420) all_18_24 = e22
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1420) implies:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | (1421) all_18_24 = e22
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (304) gives:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | (1422) all_22_9 = e21
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (689), (1422) imply:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | (1423) all_14_6 = e21
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (21), (33), (811), (1311), (1423) are inconsistent
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #60.
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | (1424) ~ (all_22_9 = e21)
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | (1425) all_22_9 = e23 | all_22_9 = e22 | all_22_9 = e20
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (689), (1424) imply:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | (1426) ~ (all_14_6 = e21)
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (341) gives:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | (1427) all_24_1 = e21
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (589), (1427) imply:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | (1428) all_14_4 = e21
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1428) implies:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | (1429) all_14_4 = e21
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1393), (1429) imply:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | (1430) $false
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1430) is inconsistent.
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | (1431) all_24_3 = e21 | all_24_7 = e21 | all_24_13 = e21
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1431) gives:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1432) all_24_3 = e21
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (577), (1432) imply:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1433) all_6_1 = e21
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1433) implies:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1434) all_6_1 = e21
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (798), (1434) imply:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1435) ~ (all_14_1 = e21)
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (308) gives:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1436) all_22_4 = e21
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (679), (1436) imply:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1437) all_14_1 = e21
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1435), (1437) imply:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1438) $false
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1438) is inconsistent.
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1439) ~ (all_22_4 = e21)
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1440) all_22_4 = e23 | all_22_4 = e22 | all_22_4 = e20
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1440) gives:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1441) all_22_4 = e22
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (679), (1441) imply:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1442) all_14_1 = e22
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (580), (1442) imply:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1443) all_24_2 = e22
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (14), (339), (569), (573), (827), (1411),
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1432), (1443) are inconsistent by sub-proof #55.
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1444) all_22_4 = e23 | all_22_4 = e20
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (344) gives:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1445) all_24_0 = e21
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (593), (1396), (1445) are inconsistent by
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #54.
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1446) all_24_2 = e21 | all_24_6 = e21 | all_24_12 = e21
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1444) gives:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1447) all_22_4 = e23
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (679), (1447) imply:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1448) all_14_1 = e23
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (580), (1448) imply:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1449) all_24_2 = e23
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (166), (1448) imply:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1450) ~ (all_14_3 = e23)
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1450) implies:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1451) ~ (all_14_3 = e23)
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (787), (1448) imply:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1452) ~ (all_8_1 = e23)
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1452) implies:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1453) ~ (all_8_1 = e23)
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (335) gives:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1454) all_24_6 = e21
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (566), (1454) imply:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1455) all_14_2 = e21
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1455) implies:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1456) all_14_2 = e21
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (162), (1456) imply:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1457) ~ (all_14_3 = e21)
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (334) gives:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1458) all_24_6 = e20
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1454), (1458) imply:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1459) e21 = e20
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1459) implies:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1460) e21 = e20
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (1460) imply:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1461) $false
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1461) is inconsistent.
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1462) all_24_7 = e20 | all_24_8 = e20 | all_24_11 = e20
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (303) gives:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1463) all_22_12 = e21
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (699), (1463) imply:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1464) all_14_3 = e21
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1414), (1464) imply:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1465) $false
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1465) is inconsistent.
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1466) all_22_12 = e23 | all_22_12 = e22 | all_22_12 =
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (331) gives:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1467) all_24_12 = e22
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (551), (1467) imply:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1468) all_14_3 = e22
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1468) implies:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1469) all_14_3 = e22
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (791), (1469) imply:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1470) ~ (all_8_1 = e22)
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1470) implies:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1471) ~ (all_8_1 = e22)
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1462) gives:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1472) all_24_7 = e20
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (563), (1472) imply:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1473) all_14_6 = e20
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1473) implies:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1474) all_14_6 = e20
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1311), (1474) imply:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1475) op2(e20, e20) = e21
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (312) gives:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1476) all_22_0 = e21
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (675), (1476) imply:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1477) all_8_1 = e21
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1396), (1477) imply:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1478) $false
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1478) is inconsistent.
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1479) ~ (all_22_0 = e21)
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1480) all_22_0 = e23 | all_22_0 = e22 | all_22_0 = e20
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1480) gives:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1481) all_22_0 = e22
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (675), (1481) imply:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1482) all_8_1 = e22
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1471), (1482) imply:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1483) $false
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1483) is inconsistent.
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1484) all_22_0 = e23 | all_22_0 = e20
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1484) gives:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1485) all_22_0 = e23
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (675), (1485) imply:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1486) all_8_1 = e23
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1453), (1486) imply:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1487) $false
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1487) is inconsistent.
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1488) all_22_0 = e20
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (675), (1488) imply:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1489) all_8_1 = e20
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1396), (1489) imply:
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1490) ~ (e21 = e20)
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.61 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (913), (1489) imply:
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1491) op2(e20, e20) = all_18_0
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (33), (1012), (1475), (1491) are
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #70.
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1492) ~ (all_24_7 = e20)
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (563), (689), (811), (812), (1425), (1492) are
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #67.
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1493) ~ (all_24_12 = e22)
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (551), (699), (1006), (1451), (1466), (1493) are
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #52.
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1494) ~ (all_24_6 = e21)
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (566), (1494) imply:
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1495) ~ (all_14_2 = e21)
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (303) gives:
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1496) all_22_12 = e21
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (699), (1496) imply:
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1497) all_14_3 = e21
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1414), (1497) imply:
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1498) $false
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1498) is inconsistent.
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1499) ~ (all_22_12 = e21)
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1500) all_22_12 = e23 | all_22_12 = e22 | all_22_12 =
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1500) gives:
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1501) all_22_12 = e22
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (699), (1501) imply:
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1502) all_14_3 = e22
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (551), (1502) imply:
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1503) all_24_12 = e22
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1446) gives:
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1504) all_24_2 = e21
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1449), (1504) imply:
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1505) e23 = e21
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1505) implies:
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1506) e23 = e21
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (1506) imply:
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1507) $false
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1507) is inconsistent.
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1508) all_24_6 = e21 | all_24_12 = e21
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1508) gives:
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1509) all_24_6 = e21
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (566), (1495), (1509) are inconsistent by
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #92.
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1510) all_24_12 = e21
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1503), (1510) imply:
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1511) e22 = e21
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1511) implies:
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1512) e22 = e21
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12), (1512) imply:
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1513) $false
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1513) is inconsistent.
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1514) all_22_12 = e23 | all_22_12 = e20
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (699), (1006), (1451), (1514) are inconsistent by
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #61.
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1515) all_22_4 = e20
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (679), (1515) imply:
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1516) all_14_1 = e20
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (799), (1516) imply:
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1517) $false
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1517) is inconsistent.
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1518) all_24_7 = e21 | all_24_13 = e21
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1518) gives:
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1519) all_24_7 = e21
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (563), (1519) imply:
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1520) all_14_6 = e21
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1520) implies:
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1521) all_14_6 = e21
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1426), (1521) imply:
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1522) $false
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1522) is inconsistent.
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1523) all_24_13 = e21
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (774), (1523) imply:
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1524) all_14_7 = e21
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1524) implies:
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1525) all_14_7 = e21
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1415), (1525) imply:
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1526) $false
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1526) is inconsistent.
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | (1527) ~ (all_22_14 = e21)
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (543), (1527) imply:
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | (1528) ~ (all_14_11 = e21)
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (12), (14), (336), (573), (773), (775),
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | | (1408), (1528) are inconsistent by sub-proof #74.
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | (1529) all_22_2 = e20
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (584), (814), (1529) are inconsistent by sub-proof
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | | #73.
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | | End of split
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | | End of split
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | End of split
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | Case 2:
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | (1530) all_22_3 = e23 | all_22_3 = e22 | all_22_3 = e20
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (693), (825), (1008), (1389), (1530) are
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #72.
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | End of split
% 50.70/12.62 | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | Case 2:
% 50.70/12.62 | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | (1531) all_22_7 = e23 | all_22_7 = e20
% 50.70/12.62 | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (695), (821), (827), (1531) are inconsistent by
% 50.70/12.62 | | | | | | | | | | | | | | | | | | | sub-proof #71.
% 50.70/12.62 | | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | | End of split
% 50.70/12.62 | | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | | End of split
% 50.70/12.62 | | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | | End of split
% 50.70/12.62 | | | | | | | | | | | | | | | |
% 50.70/12.62 | | | | | | | | | | | | | | | Case 2:
% 50.70/12.62 | | | | | | | | | | | | | | | |
% 50.84/12.62 | | | | | | | | | | | | | | | | (1532) (all_18_16 = e23 & all_18_18 = e22 & all_18_20 =
% 50.84/12.62 | | | | | | | | | | | | | | | | e21 & all_18_22 = e20) | (all_18_24 = e23 &
% 50.84/12.62 | | | | | | | | | | | | | | | | all_18_26 = e22 & all_18_28 = e21 & all_18_30 =
% 50.84/12.62 | | | | | | | | | | | | | | | | e20)
% 50.84/12.62 | | | | | | | | | | | | | | | |
% 50.84/12.62 | | | | | | | | | | | | | | | | BETA: splitting (1532) gives:
% 50.84/12.62 | | | | | | | | | | | | | | | |
% 50.84/12.62 | | | | | | | | | | | | | | | | Case 1:
% 50.84/12.62 | | | | | | | | | | | | | | | | |
% 50.84/12.62 | | | | | | | | | | | | | | | | | (1533) all_18_16 = e23 & all_18_18 = e22 & all_18_20 =
% 50.84/12.62 | | | | | | | | | | | | | | | | | e21 & all_18_22 = e20
% 50.84/12.62 | | | | | | | | | | | | | | | | |
% 50.84/12.62 | | | | | | | | | | | | | | | | | ALPHA: (1533) implies:
% 50.84/12.62 | | | | | | | | | | | | | | | | | (1534) all_18_18 = e22
% 50.84/12.62 | | | | | | | | | | | | | | | | |
% 50.84/12.62 | | | | | | | | | | | | | | | | | COMBINE_EQS: (1005), (1534) imply:
% 50.84/12.62 | | | | | | | | | | | | | | | | | (1535) e22 = e20
% 50.84/12.62 | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | REDUCE: (817), (1535) imply:
% 50.84/12.63 | | | | | | | | | | | | | | | | | (1536) $false
% 50.84/12.63 | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | CLOSE: (1536) is inconsistent.
% 50.84/12.63 | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | Case 2:
% 50.84/12.63 | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | (1537) all_18_24 = e23 & all_18_26 = e22 & all_18_28 =
% 50.84/12.63 | | | | | | | | | | | | | | | | | e21 & all_18_30 = e20
% 50.84/12.63 | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | ALPHA: (1537) implies:
% 50.84/12.63 | | | | | | | | | | | | | | | | | (1538) all_18_28 = e21
% 50.84/12.63 | | | | | | | | | | | | | | | | | (1539) all_18_26 = e22
% 50.84/12.63 | | | | | | | | | | | | | | | | | (1540) all_18_24 = e23
% 50.84/12.63 | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | COMBINE_EQS: (969), (1538) imply:
% 50.84/12.63 | | | | | | | | | | | | | | | | | (1541) all_8_1 = e21
% 50.84/12.63 | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | SIMP: (1541) implies:
% 50.84/12.63 | | | | | | | | | | | | | | | | | (1542) all_8_1 = e21
% 50.84/12.63 | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | COMBINE_EQS: (593), (1542) imply:
% 50.84/12.63 | | | | | | | | | | | | | | | | | (1543) all_24_0 = e21
% 50.84/12.63 | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | COMBINE_EQS: (607), (1542) imply:
% 50.84/12.63 | | | | | | | | | | | | | | | | | (1544) all_28_28 = e21
% 50.84/12.63 | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | COMBINE_EQS: (967), (1542) imply:
% 50.84/12.63 | | | | | | | | | | | | | | | | | (1545) all_28_21 = e21
% 50.84/12.63 | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | COMBINE_EQS: (957), (1542) imply:
% 50.84/12.63 | | | | | | | | | | | | | | | | | (1546) all_28_20 = e21
% 50.84/12.63 | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | REDUCE: (789), (1542) imply:
% 50.84/12.63 | | | | | | | | | | | | | | | | | (1547) ~ (all_14_2 = e21)
% 50.84/12.63 | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | REDUCE: (793), (1542) imply:
% 50.84/12.63 | | | | | | | | | | | | | | | | | (1548) ~ (all_14_4 = e21)
% 50.84/12.63 | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | REDUCE: (795), (1542) imply:
% 50.84/12.63 | | | | | | | | | | | | | | | | | (1549) ~ (all_14_8 = e21)
% 50.84/12.63 | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | REDUCE: (797), (1542) imply:
% 50.84/12.63 | | | | | | | | | | | | | | | | | (1550) ~ (all_14_12 = e21)
% 50.84/12.63 | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | REDUCE: (54), (1542) imply:
% 50.84/12.63 | | | | | | | | | | | | | | | | | (1551) h4(e12) = e21
% 50.84/12.63 | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | REDUCE: (925), (1540) imply:
% 50.84/12.63 | | | | | | | | | | | | | | | | | (1552) op2(all_14_12, all_14_12) = e23
% 50.84/12.63 | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | REDUCE: (926), (1539) imply:
% 50.84/12.63 | | | | | | | | | | | | | | | | | (1553) op2(all_14_13, all_14_13) = e22
% 50.84/12.63 | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | REDUCE: (868), (1542) imply:
% 50.84/12.63 | | | | | | | | | | | | | | | | | (1554) op2(all_8_0, e21) = all_28_2
% 50.84/12.63 | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | REDUCE: (871), (1542) imply:
% 50.84/12.63 | | | | | | | | | | | | | | | | | (1555) op2(e21, all_8_0) = all_28_8
% 50.84/12.63 | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | REDUCE: (913), (1542) imply:
% 50.84/12.63 | | | | | | | | | | | | | | | | | (1556) op2(e21, e21) = all_18_0
% 50.84/12.63 | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | REDUCE: (874), (1542) imply:
% 50.84/12.63 | | | | | | | | | | | | | | | | | (1557) op2(e21, all_8_2) = all_28_14
% 50.84/12.63 | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | REDUCE: (51), (1542) imply:
% 50.84/12.63 | | | | | | | | | | | | | | | | | (1558) op2(e21, e23) = all_8_2
% 50.84/12.63 | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | REDUCE: (880), (1542) imply:
% 50.84/12.63 | | | | | | | | | | | | | | | | | (1559) op2(all_8_2, e21) = all_28_27
% 50.84/12.63 | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | REDUCE: (876), (1542) imply:
% 50.84/12.63 | | | | | | | | | | | | | | | | | (1560) op2(e23, e21) = all_28_18
% 50.84/12.63 | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | BETA: splitting (309) gives:
% 50.84/12.63 | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | Case 1:
% 50.84/12.63 | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | (1561) all_22_3 = e21
% 50.84/12.63 | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | REF_CLOSE: (693), (1550), (1561) are inconsistent by
% 50.84/12.63 | | | | | | | | | | | | | | | | | | sub-proof #95.
% 50.84/12.63 | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | Case 2:
% 50.84/12.63 | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | (1562) ~ (all_22_3 = e21)
% 50.84/12.63 | | | | | | | | | | | | | | | | | | (1563) all_22_3 = e23 | all_22_3 = e22 | all_22_3 = e20
% 50.84/12.63 | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | BETA: splitting (336) gives:
% 50.84/12.63 | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | Case 1:
% 50.84/12.63 | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | (1564) all_24_4 = e21
% 50.84/12.63 | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (776), (1564) imply:
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | (1565) all_14_8 = e21
% 50.84/12.63 | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | SIMP: (1565) implies:
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | (1566) all_14_8 = e21
% 50.84/12.63 | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | REDUCE: (1549), (1566) imply:
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | (1567) $false
% 50.84/12.63 | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | CLOSE: (1567) is inconsistent.
% 50.84/12.63 | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | Case 2:
% 50.84/12.63 | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | (1568) all_24_5 = e21 | all_24_8 = e21 | all_24_14 = e21
% 50.84/12.63 | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | BETA: splitting (1568) gives:
% 50.84/12.63 | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | Case 1:
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | (1569) all_24_5 = e21
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (573), (1569) imply:
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | (1570) e21 = e20
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (1570) imply:
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | (1571) $false
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | CLOSE: (1571) is inconsistent.
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | Case 2:
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | (1572) ~ (all_24_5 = e21)
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | (1573) all_24_8 = e21 | all_24_14 = e21
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | REDUCE: (573), (1572) imply:
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | (1574) ~ (e21 = e20)
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | BETA: splitting (1563) gives:
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | (1575) all_22_3 = e22
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (693), (1575) imply:
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | (1576) all_14_12 = e22
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | SIMP: (1576) implies:
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | (1577) all_14_12 = e22
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (583), (1577) imply:
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | (1578) all_24_9 = e22
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | REDUCE: (151), (1577) imply:
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | (1579) ~ (all_14_4 = e22)
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | REDUCE: (132), (1577) imply:
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | (1580) ~ (all_14_13 = e22)
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | SIMP: (1580) implies:
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | (1581) ~ (all_14_13 = e22)
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | REDUCE: (1552), (1577) imply:
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | (1582) op2(e22, e22) = e23
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | REDUCE: (186), (1577) imply:
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | (1583) op2(e23, e20) = e22
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (333) gives:
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | (1584) all_24_9 = e21
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1578), (1584) imply:
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | (1585) e22 = e21
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | SIMP: (1585) implies:
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | (1586) e22 = e21
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12), (1586) imply:
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | (1587) $false
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1587) is inconsistent.
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | (1588) all_24_10 = e21 | all_24_11 = e21 | all_24_15 =
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | e21
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (335) gives:
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | (1589) all_24_6 = e21
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (566), (1547), (1589) are inconsistent by
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #92.
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | (1590) all_24_7 = e21 | all_24_8 = e21 | all_24_11 = e21
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (306) gives:
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | (1591) all_22_7 = e21
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (695), (1591) imply:
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | (1592) all_14_13 = e21
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (163), (1592) imply:
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | (1593) ~ (all_14_1 = e21)
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1581), (1592) imply:
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | (1594) ~ (e22 = e21)
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (182), (1592) imply:
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | (1595) op2(e22, e20) = e21
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1573) gives:
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | (1596) all_24_8 = e21
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (775), (1596) are inconsistent by sub-proof
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | #75.
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | (1597) all_24_14 = e21
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (773), (1597) imply:
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | (1598) all_14_11 = e21
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1598) implies:
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | (1599) all_14_11 = e21
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (157), (1599) imply:
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | (1600) ~ (all_14_3 = e21)
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (924), (1599) imply:
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | (1601) op2(e21, e21) = all_18_22
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (175), (1599) imply:
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | (1602) op2(e20, e21) = e21
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (337) gives:
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | (1603) all_24_4 = e23
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (776), (1603) imply:
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | (1604) all_14_8 = e23
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1604) implies:
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | (1605) all_14_8 = e23
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (152), (1605) imply:
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | (1606) ~ (all_14_4 = e23)
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (187), (1605) imply:
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | (1607) op2(e23, e21) = e23
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (311) gives:
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1608) all_22_1 = e21
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (676), (1608) imply:
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1609) all_14_4 = e21
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1548), (1609) imply:
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1610) $false
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1610) is inconsistent.
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1611) all_22_1 = e23 | all_22_1 = e22 | all_22_1 = e20
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1590) gives:
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1612) all_24_7 = e21
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (563), (1612) imply:
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1613) all_14_6 = e21
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1613) implies:
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1614) all_14_6 = e21
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (146), (1614) imply:
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1615) ~ (all_14_7 = e21)
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1615) implies:
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1616) ~ (all_14_7 = e21)
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (805), (1614) imply:
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1617) ~ (all_6_1 = e21)
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1617) implies:
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1618) ~ (all_6_1 = e21)
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (919), (1614) imply:
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1619) op2(e21, e21) = all_18_12
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (180), (1614) imply:
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1620) op2(e21, e22) = e21
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1611) gives:
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1621) all_22_1 = e22
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (676), (1621) imply:
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1622) all_14_4 = e22
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1622) implies:
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1623) all_14_4 = e22
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1579), (1623) imply:
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1624) $false
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1624) is inconsistent.
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1625) all_22_1 = e23 | all_22_1 = e20
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1625) gives:
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1626) all_22_1 = e23
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (676), (1626) imply:
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1627) all_14_4 = e23
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1627) implies:
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1628) all_14_4 = e23
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1606), (1628) imply:
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1629) $false
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1629) is inconsistent.
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 50.84/12.63 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1630) all_22_1 = e20
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (676), (1630) imply:
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1631) all_14_4 = e20
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1631) implies:
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1632) all_14_4 = e20
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (153), (1632) imply:
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1633) ~ (all_14_7 = e20)
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (803), (1632) imply:
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1634) ~ (all_6_1 = e20)
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (917), (1632) imply:
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1635) op2(e20, e20) = all_18_8
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (188), (1632) imply:
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1636) op2(e23, e22) = e20
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (305) gives:
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1637) all_22_8 = e21
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (687), (1547), (1637) are inconsistent by
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #51.
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1638) all_22_8 = e23 | all_22_8 = e22 | all_22_8 = e20
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (334) gives:
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1639) all_24_6 = e20
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (566), (1639) imply:
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1640) all_14_2 = e20
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1640) implies:
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1641) all_14_2 = e20
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (915), (1641) imply:
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1642) op2(e20, e20) = all_18_4
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (181), (1641) imply:
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1643) op2(e21, e23) = e20
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (33) with e20, all_18_4, e20, e20,
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1012), (1642) gives:
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1644) all_18_4 = e20
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (33) with all_18_8, all_18_4, e20,
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20, simplifying with (1635), (1642) gives:
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1645) all_18_4 = all_18_8
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (33) with e22, all_18_12, e21, e21,
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (21), (1619) gives:
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1646) all_18_12 = e22
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (33) with all_18_12, all_18_0, e21,
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21, simplifying with (1556), (1619) gives:
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1647) all_18_0 = all_18_12
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (33) with all_18_22, all_18_0, e21,
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e21, simplifying with (1556), (1601) gives:
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1648) all_18_0 = all_18_22
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (33) with e20, all_8_2, e23, e21,
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1558), (1643) gives:
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1649) all_8_2 = e20
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (33) with all_6_1, e23, e22, e22,
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (43), (1582) gives:
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1650) all_6_1 = e23
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (33) with e23, all_28_18, e21, e23,
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1560), (1607) gives:
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1651) all_28_18 = e23
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1647), (1648) imply:
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1652) all_18_12 = all_18_22
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1652) implies:
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1653) all_18_12 = all_18_22
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1644), (1645) imply:
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1654) all_18_8 = e20
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1646), (1653) imply:
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1655) all_18_22 = e22
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1648), (1655) imply:
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1656) all_18_0 = e22
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (605), (1649) imply:
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1657) all_28_34 = e20
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1163), (1649) imply:
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1658) all_28_17 = e20
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (966), (1649) imply:
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1659) all_28_13 = e20
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (962), (1649) imply:
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1660) all_28_12 = e20
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (963), (1656) imply:
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1661) all_28_10 = e22
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (798), (1650) imply:
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1662) ~ (all_14_1 = e23)
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (807), (1650) imply:
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1663) ~ (all_14_7 = e23)
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (52), (1649) imply:
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1664) h4(e10) = e20
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (870), (1649) imply:
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1665) op2(all_8_0, e20) = all_28_6
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (879), (1649) imply:
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1666) op2(e20, all_8_0) = all_28_24
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (882), (1649) imply:
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1667) op2(e20, e20) = all_28_33
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (881), (1649) imply:
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1668) op2(e20, e23) = all_28_30
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1559), (1649) imply:
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1669) op2(e20, e21) = all_28_27
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (44), (1650) imply:
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1670) op2(e23, e22) = all_6_2
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (50), (1649) imply:
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1671) op2(e23, e20) = all_8_0
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (885), (1650) imply:
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1672) op2(e22, e23) = all_28_54
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1557), (1649) imply:
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1673) op2(e21, e20) = all_28_14
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (308) gives:
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1674) all_22_4 = e21
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (679), (1593), (1674) are inconsistent by
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #65.
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1675) ~ (all_22_4 = e21)
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1676) all_22_4 = e23 | all_22_4 = e22 | all_22_4 = e20
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1676) gives:
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.84/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1677) all_22_4 = e22
% 50.90/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (679), (1677) imply:
% 50.90/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1678) all_14_1 = e22
% 50.90/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1678) implies:
% 50.90/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1679) all_14_1 = e22
% 50.90/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (166), (1679) imply:
% 50.90/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1680) ~ (all_14_3 = e22)
% 50.90/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1680) implies:
% 50.90/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1681) ~ (all_14_3 = e22)
% 50.90/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (914), (1679) imply:
% 50.90/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1682) op2(e22, e22) = all_18_2
% 50.90/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (185), (1679) imply:
% 50.90/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1683) op2(e22, e23) = e22
% 50.90/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (331) gives:
% 50.90/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.90/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1684) all_24_12 = e22
% 50.90/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (551), (1681), (1684) are inconsistent by
% 50.90/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #50.
% 50.90/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 50.90/12.64 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1685) all_24_13 = e22 | all_24_14 = e22 | all_24_15 =
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1685) gives:
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1686) all_24_13 = e22
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (774), (1686) imply:
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1687) all_14_7 = e22
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1687) implies:
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1688) all_14_7 = e22
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1663), (1688) imply:
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1689) ~ (e23 = e22)
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1689) implies:
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1690) ~ (e23 = e22)
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (920), (1688) imply:
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1691) op2(e22, e22) = all_18_14
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (176), (1688) imply:
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1692) op2(e20, e22) = e22
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (303) gives:
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1693) all_22_12 = e21
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (699), (1600), (1693) are inconsistent by
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #49.
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1694) all_22_12 = e23 | all_22_12 = e22 | all_22_12 =
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1694) gives:
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1695) all_22_12 = e22
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (699), (1681), (1695) are inconsistent by
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #53.
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1696) all_22_12 = e23 | all_22_12 = e20
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1696) gives:
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1697) all_22_12 = e23
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (699), (1697) imply:
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1698) all_14_3 = e23
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1698) implies:
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1699) all_14_3 = e23
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (177), (1699) imply:
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1700) op2(e20, e23) = e23
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (33) with e20, all_28_33, e20, e20,
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1012), (1667) gives:
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1701) all_28_33 = e20
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (33) with e21, all_28_27, e21, e20,
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1602), (1669) gives:
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1702) all_28_27 = e21
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (33) with e23, all_28_30, e23, e20,
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1668), (1700) gives:
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1703) all_28_30 = e23
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (33) with e23, all_28_14, e20, e21,
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (20), (1673) gives:
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1704) all_28_14 = e23
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (33) with e23, all_18_2, e22, e22,
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1582), (1682) gives:
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1705) all_18_2 = e23
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (33) with all_18_14, all_18_2, e22,
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22, simplifying with (1682), (1691) gives:
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1706) all_18_2 = all_18_14
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (33) with e22, all_28_54, e23, e22,
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1672), (1683) gives:
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1707) all_28_54 = e22
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (33) with e22, all_8_0, e20, e23,
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1583), (1671) gives:
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1708) all_8_0 = e22
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (33) with e20, all_6_2, e22, e23,
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1636), (1670) gives:
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1709) all_6_2 = e20
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1705), (1706) imply:
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1710) all_18_14 = e23
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (608), (1708) imply:
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1711) all_28_25 = e22
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (968), (1708) imply:
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1712) all_28_23 = e22
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (959), (1708) imply:
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1713) all_28_22 = e22
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1167), (1708) imply:
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1714) all_28_5 = e22
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (55), (1708) imply:
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1715) h4(e13) = e22
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (867), (1708) imply:
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1716) op2(e22, e22) = all_28_0
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (869), (1708) imply:
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1717) op2(e22, e23) = all_28_4
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1554), (1708) imply:
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1718) op2(e22, e21) = all_28_2
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1665), (1708) imply:
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1719) op2(e22, e20) = all_28_6
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (887), (1709) imply:
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1720) op2(e20, e22) = all_28_66
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (875), (1708) imply:
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1721) op2(e23, e22) = all_28_16
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1555), (1708) imply:
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1722) op2(e21, e22) = all_28_8
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1666), (1708) imply:
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1723) op2(e20, e22) = all_28_24
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (33) with e22, all_28_24, e22, e20,
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1692), (1723) gives:
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1724) all_28_24 = e22
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (33) with all_28_66, all_28_24, e22,
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e20, simplifying with (1720), (1723) gives:
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1725) all_28_24 = all_28_66
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (33) with e21, all_28_8, e22, e21,
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1620), (1722) gives:
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1726) all_28_8 = e21
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (33) with e21, all_28_6, e20, e22,
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1595), (1719) gives:
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1727) all_28_6 = e21
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (33) with e20, all_28_2, e21, e22,
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (22), (1718) gives:
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1728) all_28_2 = e20
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (33) with e23, all_28_0, e22, e22,
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1582), (1716) gives:
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1729) all_28_0 = e23
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (33) with e22, all_28_4, e23, e22,
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1683), (1717) gives:
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1730) all_28_4 = e22
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (33) with e20, all_28_16, e22, e23,
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1636), (1721) gives:
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1731) all_28_16 = e20
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1724), (1725) imply:
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1732) all_28_66 = e22
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.65 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (271) gives:
% 50.90/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.90/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1733) all_20_15 = e11
% 50.90/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (673), (1733) imply:
% 50.90/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1734) all_12_15 = e11
% 50.90/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1734) implies:
% 50.90/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1735) all_12_15 = e11
% 50.90/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1045), (1735) imply:
% 50.90/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1736) $false
% 50.90/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1736) is inconsistent.
% 50.90/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 50.90/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1737) all_20_15 = e13 | all_20_15 = e12 | all_20_15 =
% 50.90/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10
% 50.90/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (274) gives:
% 50.90/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.90/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1738) all_20_12 = e11
% 50.90/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (668), (1738) imply:
% 50.90/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1739) all_12_3 = e11
% 50.90/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1109), (1739) imply:
% 50.90/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1740) $false
% 50.90/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1740) is inconsistent.
% 50.90/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 50.90/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1741) ~ (all_20_12 = e11)
% 50.90/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1742) all_20_12 = e13 | all_20_12 = e12 | all_20_12 =
% 50.90/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10
% 50.90/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (365) gives:
% 50.90/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.90/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1743) all_26_15 = e10
% 50.90/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (1743) imply:
% 50.90/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1744) all_12_15 = e10
% 50.90/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (866), (1744) imply:
% 50.90/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1745) h4(e10) = all_28_35
% 50.90/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (369) gives:
% 50.90/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.90/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1746) all_26_9 = e12
% 50.90/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (617), (1746) imply:
% 50.90/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1747) all_12_12 = e12
% 50.90/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (89), (1747) imply:
% 50.90/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1748) ~ (all_12_4 = e12)
% 50.90/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (847), (1747) imply:
% 50.90/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1749) ~ (e13 = e12)
% 50.90/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (854), (1747) imply:
% 50.90/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1750) h4(e12) = all_28_7
% 50.90/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1113), (1747) imply:
% 50.90/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1751) op1(e12, e12) = e13
% 50.90/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (376) gives:
% 50.90/12.66 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1752) all_26_1 = e10
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (778), (1752) imply:
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1753) all_12_4 = e10
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1753) implies:
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1754) all_12_4 = e10
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (91), (1754) imply:
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1755) ~ (all_12_7 = e10)
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1755) implies:
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1756) ~ (all_12_7 = e10)
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1121), (1754) imply:
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1757) ~ (e11 = e10)
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (852), (1754) imply:
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1758) h4(e10) = all_28_3
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (32) with all_12_5, e13, e12, e12,
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (120), (1751) gives:
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1759) all_12_5 = e13
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with e20, all_28_3, e10,
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1664), (1758) gives:
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1760) all_28_3 = e20
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_28_35, all_28_3, e10,
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1745), (1758) gives:
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1761) all_28_3 = all_28_35
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with e21, all_28_7, e12,
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1551), (1750) gives:
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1762) all_28_7 = e21
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1760), (1761) imply:
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1763) all_28_35 = e20
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1763) implies:
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1764) all_28_35 = e20
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (621), (1759) imply:
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1765) all_26_3 = e13
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (856), (1759) imply:
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1766) h4(e13) = all_28_11
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (273) gives:
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1767) all_20_13 = e11
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (669), (1767) imply:
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1768) all_12_7 = e11
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1768) implies:
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1769) all_12_7 = e11
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1123), (1769) imply:
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1770) $false
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1770) is inconsistent.
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1771) ~ (all_20_13 = e11)
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1772) all_20_13 = e13 | all_20_13 = e12 | all_20_13 =
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1772) gives:
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1773) all_20_13 = e12
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (669), (1773) imply:
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1774) all_12_7 = e12
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1774) implies:
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1775) all_12_7 = e12
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (96), (1775) imply:
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1776) ~ (all_12_3 = e12)
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (864), (1775) imply:
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1777) h4(e12) = all_28_29
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (368) gives:
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1778) all_26_12 = e13
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (635), (1778) imply:
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1779) all_12_3 = e13
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1779) implies:
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1780) all_12_3 = e13
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (863), (1780) imply:
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1781) h4(e13) = all_28_26
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (374) gives:
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1782) all_26_2 = e12
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (619), (1782) imply:
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1783) all_12_1 = e12
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1783) implies:
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1784) all_12_1 = e12
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (855), (1784) imply:
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1785) h4(e12) = all_28_9
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with e21, all_28_9, e12,
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1551), (1785) gives:
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1786) all_28_9 = e21
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_28_29, all_28_9, e12,
% 50.90/12.67 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1777), (1785) gives:
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1787) all_28_9 = all_28_29
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with e22, all_28_11, e13,
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1715), (1766) gives:
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1788) all_28_11 = e22
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (31) with all_28_26, all_28_11, e13,
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (1766), (1781) gives:
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1789) all_28_11 = all_28_26
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1786), (1787) imply:
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1790) all_28_29 = e21
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1788), (1789) imply:
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1791) all_28_26 = e22
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (473) gives:
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1792) ~ (all_28_0 = all_28_1)
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1172), (1729), (1792) imply:
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1793) $false
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1793) is inconsistent.
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1794) ~ (all_28_2 = all_28_3) | ~ (all_28_4 =
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_5) | ~ (all_28_6 = all_28_7) | ~
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_8 = all_28_9) | ~ (all_28_10 = all_28_11)
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_12 = all_28_13) | ~ (all_28_14 =
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_15) | ~ (all_28_16 = all_28_17) | ~
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_18 = all_28_19) | ~ (all_28_20 =
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_21) | ~ (all_28_22 = all_28_23) | ~
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_24 = all_28_26) | ~ (all_28_27 =
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_29) | ~ (all_28_30 = all_28_32) | ~
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_33 = all_28_35) | ( ~ (all_28_25 = e23) &
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_28 = e23) & ~ (all_28_31 = e23) & ~
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & ~
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e22) & ~ (all_28_31 = e22) & ~
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e22)) | ( ~ (all_28_25 = e21) & ~
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e21) & ~ (all_28_31 = e21) & ~
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e20) & ~ (all_28_31 = e20) & ~
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e20))
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1794) gives:
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1795) ~ (all_28_2 = all_28_3)
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1728), (1760), (1795) imply:
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1796) $false
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1796) is inconsistent.
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1797) ~ (all_28_4 = all_28_5) | ~ (all_28_6 =
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_7) | ~ (all_28_8 = all_28_9) | ~
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_10 = all_28_11) | ~ (all_28_12 =
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_13) | ~ (all_28_14 = all_28_15) | ~
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_16 = all_28_17) | ~ (all_28_18 =
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_19) | ~ (all_28_20 = all_28_21) | ~
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_22 = all_28_23) | ~ (all_28_24 =
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_26) | ~ (all_28_27 = all_28_29) | ~
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_30 = all_28_32) | ~ (all_28_33 =
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_35) | ( ~ (all_28_25 = e23) & ~
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e23) & ~ (all_28_31 = e23) & ~
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & ~
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e22) & ~ (all_28_31 = e22) & ~
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e22)) | ( ~ (all_28_25 = e21) & ~
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e21) & ~ (all_28_31 = e21) & ~
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e20) & ~ (all_28_31 = e20) & ~
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e20))
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1797) gives:
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1798) ~ (all_28_4 = all_28_5)
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1714), (1730), (1798) imply:
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1799) $false
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1799) is inconsistent.
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1800) ~ (all_28_6 = all_28_7) | ~ (all_28_8 =
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_9) | ~ (all_28_10 = all_28_11) | ~
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_12 = all_28_13) | ~ (all_28_14 =
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_15) | ~ (all_28_16 = all_28_17) | ~
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_18 = all_28_19) | ~ (all_28_20 =
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_21) | ~ (all_28_22 = all_28_23) | ~
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_24 = all_28_26) | ~ (all_28_27 =
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_29) | ~ (all_28_30 = all_28_32) | ~
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_33 = all_28_35) | ( ~ (all_28_25 = e23) &
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_28 = e23) & ~ (all_28_31 = e23) & ~
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & ~
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e22) & ~ (all_28_31 = e22) & ~
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e22)) | ( ~ (all_28_25 = e21) & ~
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e21) & ~ (all_28_31 = e21) & ~
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e20) & ~ (all_28_31 = e20) & ~
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e20))
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1800) gives:
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1801) ~ (all_28_6 = all_28_7)
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1727), (1762), (1801) imply:
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1802) $false
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1802) is inconsistent.
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1803) ~ (all_28_8 = all_28_9) | ~ (all_28_10 =
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_11) | ~ (all_28_12 = all_28_13) | ~
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_14 = all_28_15) | ~ (all_28_16 =
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_17) | ~ (all_28_18 = all_28_19) | ~
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_20 = all_28_21) | ~ (all_28_22 =
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_23) | ~ (all_28_24 = all_28_26) | ~
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_27 = all_28_29) | ~ (all_28_30 =
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_32) | ~ (all_28_33 = all_28_35) | ( ~
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e23) & ~ (all_28_28 = e23) & ~
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e23) & ~ (all_28_34 = e23)) | ( ~
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e22) & ~ (all_28_28 = e22) & ~
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e22) & ~ (all_28_34 = e22)) | ( ~
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e21) & ~ (all_28_28 = e21) & ~
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e21) & ~ (all_28_34 = e21)) | ( ~
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e20) & ~ (all_28_28 = e20) & ~
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e20) & ~ (all_28_34 = e20))
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1803) gives:
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1804) ~ (all_28_8 = all_28_9)
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1726), (1786), (1804) imply:
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1805) $false
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1805) is inconsistent.
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1806) ~ (all_28_10 = all_28_11) | ~ (all_28_12 =
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_13) | ~ (all_28_14 = all_28_15) | ~
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_16 = all_28_17) | ~ (all_28_18 =
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_19) | ~ (all_28_20 = all_28_21) | ~
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_22 = all_28_23) | ~ (all_28_24 =
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_26) | ~ (all_28_27 = all_28_29) | ~
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_30 = all_28_32) | ~ (all_28_33 =
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_35) | ( ~ (all_28_25 = e23) & ~
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e23) & ~ (all_28_31 = e23) & ~
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & ~
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e22) & ~ (all_28_31 = e22) & ~
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e22)) | ( ~ (all_28_25 = e21) & ~
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e21) & ~ (all_28_31 = e21) & ~
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e20) & ~ (all_28_31 = e20) & ~
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e20))
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1806) gives:
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1807) ~ (all_28_10 = all_28_11)
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1661), (1788), (1807) imply:
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1808) $false
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1808) is inconsistent.
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.68 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 50.90/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1809) ~ (all_28_12 = all_28_13) | ~ (all_28_14 =
% 50.90/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_15) | ~ (all_28_16 = all_28_17) | ~
% 50.90/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_18 = all_28_19) | ~ (all_28_20 =
% 50.90/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_21) | ~ (all_28_22 = all_28_23) | ~
% 50.90/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_24 = all_28_26) | ~ (all_28_27 =
% 50.90/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_29) | ~ (all_28_30 = all_28_32) | ~
% 50.90/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_33 = all_28_35) | ( ~ (all_28_25 = e23) &
% 50.90/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_28 = e23) & ~ (all_28_31 = e23) & ~
% 50.90/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & ~
% 50.90/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e22) & ~ (all_28_31 = e22) & ~
% 50.90/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e22)) | ( ~ (all_28_25 = e21) & ~
% 50.90/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e21) & ~ (all_28_31 = e21) & ~
% 50.90/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~
% 50.90/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e20) & ~ (all_28_31 = e20) & ~
% 50.90/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e20))
% 50.90/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1809) gives:
% 50.90/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.90/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1810) ~ (all_28_12 = all_28_13)
% 50.90/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1659), (1660), (1810) imply:
% 50.90/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1811) $false
% 50.90/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1811) is inconsistent.
% 50.90/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 50.90/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1812) ~ (all_28_14 = all_28_15) | ~ (all_28_16 =
% 50.90/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_17) | ~ (all_28_18 = all_28_19) | ~
% 50.90/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_20 = all_28_21) | ~ (all_28_22 =
% 50.90/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_23) | ~ (all_28_24 = all_28_26) | ~
% 50.90/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_27 = all_28_29) | ~ (all_28_30 =
% 50.90/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_32) | ~ (all_28_33 = all_28_35) | ( ~
% 50.90/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e23) & ~ (all_28_28 = e23) & ~
% 50.90/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e23) & ~ (all_28_34 = e23)) | ( ~
% 50.90/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e22) & ~ (all_28_28 = e22) & ~
% 50.90/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e22) & ~ (all_28_34 = e22)) | ( ~
% 50.90/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e21) & ~ (all_28_28 = e21) & ~
% 50.90/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e21) & ~ (all_28_34 = e21)) | ( ~
% 50.90/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e20) & ~ (all_28_28 = e20) & ~
% 50.90/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e20) & ~ (all_28_34 = e20))
% 50.90/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1812) gives:
% 50.90/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.90/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1813) ~ (all_28_14 = all_28_15)
% 50.90/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.69 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1050), (1704), (1813) imply:
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1814) $false
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1814) is inconsistent.
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1815) ~ (all_28_16 = all_28_17) | ~ (all_28_18 =
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_19) | ~ (all_28_20 = all_28_21) | ~
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_22 = all_28_23) | ~ (all_28_24 =
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_26) | ~ (all_28_27 = all_28_29) | ~
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_30 = all_28_32) | ~ (all_28_33 =
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_35) | ( ~ (all_28_25 = e23) & ~
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e23) & ~ (all_28_31 = e23) & ~
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & ~
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e22) & ~ (all_28_31 = e22) & ~
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e22)) | ( ~ (all_28_25 = e21) & ~
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e21) & ~ (all_28_31 = e21) & ~
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e20) & ~ (all_28_31 = e20) & ~
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e20))
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1815) gives:
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1816) ~ (all_28_16 = all_28_17)
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1658), (1731), (1816) imply:
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1817) $false
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1817) is inconsistent.
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1818) ~ (all_28_18 = all_28_19) | ~ (all_28_20 =
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_21) | ~ (all_28_22 = all_28_23) | ~
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_24 = all_28_26) | ~ (all_28_27 =
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_29) | ~ (all_28_30 = all_28_32) | ~
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_33 = all_28_35) | ( ~ (all_28_25 = e23) &
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_28 = e23) & ~ (all_28_31 = e23) & ~
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & ~
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e22) & ~ (all_28_31 = e22) & ~
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e22)) | ( ~ (all_28_25 = e21) & ~
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e21) & ~ (all_28_31 = e21) & ~
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e20) & ~ (all_28_31 = e20) & ~
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e20))
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1818) gives:
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1819) ~ (all_28_18 = all_28_19)
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1164), (1651), (1819) imply:
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1820) $false
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1820) is inconsistent.
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1821) ~ (all_28_20 = all_28_21) | ~ (all_28_22 =
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_23) | ~ (all_28_24 = all_28_26) | ~
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_27 = all_28_29) | ~ (all_28_30 =
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_32) | ~ (all_28_33 = all_28_35) | ( ~
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e23) & ~ (all_28_28 = e23) & ~
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e23) & ~ (all_28_34 = e23)) | ( ~
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e22) & ~ (all_28_28 = e22) & ~
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e22) & ~ (all_28_34 = e22)) | ( ~
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e21) & ~ (all_28_28 = e21) & ~
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e21) & ~ (all_28_34 = e21)) | ( ~
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e20) & ~ (all_28_28 = e20) & ~
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e20) & ~ (all_28_34 = e20))
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1821) gives:
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1822) ~ (all_28_20 = all_28_21)
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1545), (1546), (1822) imply:
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1823) $false
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1823) is inconsistent.
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1824) ~ (all_28_22 = all_28_23) | ~ (all_28_24 =
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_26) | ~ (all_28_27 = all_28_29) | ~
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_30 = all_28_32) | ~ (all_28_33 =
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_35) | ( ~ (all_28_25 = e23) & ~
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e23) & ~ (all_28_31 = e23) & ~
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & ~
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e22) & ~ (all_28_31 = e22) & ~
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e22)) | ( ~ (all_28_25 = e21) & ~
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e21) & ~ (all_28_31 = e21) & ~
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e20) & ~ (all_28_31 = e20) & ~
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e20))
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1824) gives:
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1825) ~ (all_28_22 = all_28_23)
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1712), (1713), (1825) imply:
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1826) $false
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1826) is inconsistent.
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1827) ~ (all_28_24 = all_28_26) | ~ (all_28_27 =
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_29) | ~ (all_28_30 = all_28_32) | ~
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_33 = all_28_35) | ( ~ (all_28_25 = e23) &
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_28 = e23) & ~ (all_28_31 = e23) & ~
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & ~
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e22) & ~ (all_28_31 = e22) & ~
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e22)) | ( ~ (all_28_25 = e21) & ~
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e21) & ~ (all_28_31 = e21) & ~
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e20) & ~ (all_28_31 = e20) & ~
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e20))
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1827) gives:
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1828) ~ (all_28_24 = all_28_26)
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1724), (1791), (1828) imply:
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1829) $false
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1829) is inconsistent.
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 50.90/12.70 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1830) ~ (all_28_27 = all_28_29) | ~ (all_28_30 =
% 50.90/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_32) | ~ (all_28_33 = all_28_35) | ( ~
% 50.90/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e23) & ~ (all_28_28 = e23) & ~
% 50.90/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e23) & ~ (all_28_34 = e23)) | ( ~
% 50.90/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e22) & ~ (all_28_28 = e22) & ~
% 50.90/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e22) & ~ (all_28_34 = e22)) | ( ~
% 50.90/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e21) & ~ (all_28_28 = e21) & ~
% 50.90/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e21) & ~ (all_28_34 = e21)) | ( ~
% 50.90/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e20) & ~ (all_28_28 = e20) & ~
% 50.90/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e20) & ~ (all_28_34 = e20))
% 50.90/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1830) gives:
% 50.90/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.90/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1831) ~ (all_28_27 = all_28_29)
% 50.90/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1702), (1790), (1831) imply:
% 50.90/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1832) $false
% 50.90/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1832) is inconsistent.
% 50.90/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 50.90/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1833) ~ (all_28_30 = all_28_32) | ~ (all_28_33 =
% 50.90/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_28_35) | ( ~ (all_28_25 = e23) & ~
% 50.90/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e23) & ~ (all_28_31 = e23) & ~
% 50.90/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e23)) | ( ~ (all_28_25 = e22) & ~
% 50.90/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e22) & ~ (all_28_31 = e22) & ~
% 50.90/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e22)) | ( ~ (all_28_25 = e21) & ~
% 50.90/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e21) & ~ (all_28_31 = e21) & ~
% 50.90/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~
% 50.90/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e20) & ~ (all_28_31 = e20) & ~
% 50.90/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e20))
% 50.90/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1833) gives:
% 50.90/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.90/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1834) ~ (all_28_30 = all_28_32)
% 50.90/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1171), (1703), (1834) imply:
% 50.90/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1835) $false
% 50.90/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1835) is inconsistent.
% 50.90/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 50.90/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1836) ~ (all_28_33 = all_28_35) | ( ~ (all_28_25 = e23)
% 50.90/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | & ~ (all_28_28 = e23) & ~ (all_28_31 = e23) &
% 50.90/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_34 = e23)) | ( ~ (all_28_25 = e22) &
% 50.90/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ~ (all_28_28 = e22) & ~ (all_28_31 = e22) & ~
% 50.90/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e22)) | ( ~ (all_28_25 = e21) & ~
% 50.90/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e21) & ~ (all_28_31 = e21) & ~
% 50.90/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e21)) | ( ~ (all_28_25 = e20) & ~
% 50.90/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_28 = e20) & ~ (all_28_31 = e20) & ~
% 50.90/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_34 = e20))
% 50.90/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1836) gives:
% 50.90/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 50.90/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 50.90/12.71 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1837) ~ (all_28_33 = all_28_35)
% 51.11/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1701), (1764), (1837) imply:
% 51.11/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1838) $false
% 51.11/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1838) is inconsistent.
% 51.11/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.11/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.72 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1839) ( ~ (all_28_25 = e23) & ~ (all_28_28 = e23) & ~
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e23) & ~ (all_28_34 = e23)) | ( ~
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e22) & ~ (all_28_28 = e22) & ~
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e22) & ~ (all_28_34 = e22)) | ( ~
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e21) & ~ (all_28_28 = e21) & ~
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e21) & ~ (all_28_34 = e21)) | ( ~
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e20) & ~ (all_28_28 = e20) & ~
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e20) & ~ (all_28_34 = e20))
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1839) gives:
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1840) ( ~ (all_28_25 = e23) & ~ (all_28_28 = e23) & ~
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e23) & ~ (all_28_34 = e23)) | ( ~
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e22) & ~ (all_28_28 = e22) & ~
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e22) & ~ (all_28_34 = e22))
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1840) gives:
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1841) ~ (all_28_25 = e23) & ~ (all_28_28 = e23) & ~
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e23) & ~ (all_28_34 = e23)
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1841) implies:
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1842) ~ (all_28_31 = e23)
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (606), (1842) imply:
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1843) $false
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1843) is inconsistent.
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1844) ~ (all_28_25 = e22) & ~ (all_28_28 = e22) & ~
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e22) & ~ (all_28_34 = e22)
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1844) implies:
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1845) ~ (all_28_25 = e22)
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1711), (1845) imply:
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1846) $false
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1846) is inconsistent.
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1847) ( ~ (all_28_25 = e21) & ~ (all_28_28 = e21) & ~
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e21) & ~ (all_28_34 = e21)) | ( ~
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_25 = e20) & ~ (all_28_28 = e20) & ~
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e20) & ~ (all_28_34 = e20))
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1847) gives:
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1848) ~ (all_28_25 = e21) & ~ (all_28_28 = e21) & ~
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e21) & ~ (all_28_34 = e21)
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1848) implies:
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1849) ~ (all_28_28 = e21)
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1544), (1849) imply:
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1850) $false
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1850) is inconsistent.
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1851) ~ (all_28_25 = e20) & ~ (all_28_28 = e20) & ~
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (all_28_31 = e20) & ~ (all_28_34 = e20)
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1851) implies:
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1852) ~ (all_28_34 = e20)
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1657), (1852) imply:
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1853) $false
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1853) is inconsistent.
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1854) all_26_3 = e12 | all_26_5 = e12 | all_26_10 = e12
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (10), (373), (619), (777), (840),
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1105), (1161), (1765), (1854) are inconsistent by
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #44.
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1855) ~ (all_26_12 = e13)
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (635), (1855) imply:
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1856) ~ (all_12_3 = e13)
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (668), (1138), (1742), (1776), (1856) are
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #42.
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1857) ~ (all_20_13 = e12)
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (669), (1857) imply:
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1858) ~ (all_12_7 = e12)
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (368) gives:
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1859) all_26_12 = e13
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (367) gives:
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1860) all_26_12 = e12
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1859), (1860) imply:
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1861) e13 = e12
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1861) implies:
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1862) e13 = e12
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1161), (1862) imply:
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1863) $false
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1863) is inconsistent.
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1864) all_26_13 = e12 | all_26_14 = e12 | all_26_15 =
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1864) gives:
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1865) all_26_13 = e12
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (482), (1858), (1865) are inconsistent by
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #41.
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1866) all_26_14 = e12 | all_26_15 = e12
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1866) gives:
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1867) all_26_14 = e12
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1140), (1867) imply:
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1868) e12 = e11
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (1868) imply:
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1869) $false
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1869) is inconsistent.
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1870) all_26_15 = e12
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1743), (1870) imply:
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1871) e12 = e10
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (840), (1871) imply:
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1872) $false
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1872) is inconsistent.
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1873) ~ (all_26_12 = e13)
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (635), (1873) imply:
% 51.11/12.73 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1874) ~ (all_12_3 = e13)
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (374) gives:
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1875) all_26_2 = e12
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (619), (1875) imply:
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1876) all_12_1 = e12
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1876) implies:
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1877) all_12_1 = e12
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (104), (1877) imply:
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1878) ~ (all_12_3 = e12)
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1878) implies:
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1879) ~ (all_12_3 = e12)
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (668), (1138), (1742), (1874), (1879) are
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #42.
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1880) all_26_3 = e12 | all_26_5 = e12 | all_26_10 = e12
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (10), (373), (619), (777), (840),
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1105), (1161), (1765), (1880) are inconsistent by
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #44.
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1881) ~ (all_26_1 = e10)
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (778), (1881) imply:
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1882) ~ (all_12_4 = e10)
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (531), (1159), (1175), (1748), (1882) are
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #39.
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1883) all_26_10 = e12 | all_26_11 = e12 | all_26_15 =
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1883) gives:
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1884) all_26_10 = e12
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1042), (1884) are inconsistent by sub-proof
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #47.
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1885) all_26_11 = e12 | all_26_15 = e12
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (491), (840), (1161), (1743), (1885) are
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #38.
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1886) (all_26_9 = e10 | all_26_10 = e10 | all_26_11 =
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10) & (all_26_12 = e10 | all_26_13 = e10 |
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | all_26_14 = e10)
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | ALPHA: (1886) implies:
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1887) all_26_12 = e10 | all_26_13 = e10 | all_26_14 =
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e10
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1887) gives:
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1888) all_26_12 = e10
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (635), (1888) imply:
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1889) all_12_3 = e10
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1138), (1889) imply:
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1890) $false
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1890) is inconsistent.
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1891) all_26_13 = e10 | all_26_14 = e10
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1891) gives:
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1892) all_26_13 = e10
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (482), (1892) imply:
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1893) all_12_7 = e10
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (91), (1893) imply:
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1894) ~ (all_12_4 = e10)
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1737) gives:
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1895) all_20_15 = e12
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (673), (1895) imply:
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1896) all_12_15 = e12
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (94), (1896) imply:
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1897) ~ (all_12_3 = e12)
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1114), (1896) imply:
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1898) op1(e12, e12) = e10
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (368) gives:
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1899) all_26_12 = e13
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (635), (1899) imply:
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1900) all_12_3 = e13
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (104), (1900) imply:
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1901) ~ (all_12_1 = e13)
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (375) gives:
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1902) all_26_2 = e13
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (619), (1902) imply:
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1903) all_12_1 = e13
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1903) implies:
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1904) all_12_1 = e13
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1901), (1904) imply:
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1905) $false
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1905) is inconsistent.
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1906) all_26_3 = e13 | all_26_5 = e13 | all_26_10 = e13
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (377) gives:
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.74 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1907) all_26_1 = e13
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (778), (1907) imply:
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1908) all_12_4 = e13
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1908) implies:
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1909) all_12_4 = e13
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1159), (1909) imply:
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1910) $false
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1910) is inconsistent.
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1911) all_26_3 = e13 | all_26_7 = e13 | all_26_13 = e13
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1906) gives:
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1912) all_26_3 = e13
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (621), (1912) imply:
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1913) all_12_5 = e13
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1913) implies:
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1914) all_12_5 = e13
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (120), (1914) imply:
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1915) op1(e12, e12) = e13
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (32), (531), (934), (1159), (1175), (1894),
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1898), (1915) are inconsistent by sub-proof #37.
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1916) ~ (all_26_3 = e13)
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (621), (1916) imply:
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1917) ~ (all_12_5 = e13)
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1911) gives:
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1918) all_26_3 = e13
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (621), (1918) imply:
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1919) all_12_5 = e13
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1919) implies:
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1920) all_12_5 = e13
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1917), (1920) imply:
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1921) $false
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1921) is inconsistent.
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1922) all_26_7 = e13 | all_26_13 = e13
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1922) gives:
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1923) all_26_7 = e13
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1119), (1923) imply:
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1924) e13 = e11
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (10), (1924) imply:
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1925) $false
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1925) is inconsistent.
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1926) all_26_13 = e13
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1892), (1926) imply:
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1927) e13 = e10
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1927) implies:
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1928) e13 = e10
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (9), (1928) imply:
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1929) $false
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1929) is inconsistent.
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1930) ~ (all_26_12 = e13)
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (635), (1930) imply:
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1931) ~ (all_12_3 = e13)
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (668), (1138), (1742), (1897), (1931) are
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #42.
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1932) all_20_15 = e13 | all_20_15 = e10
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (369) gives:
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1933) all_26_9 = e12
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (617), (1933) imply:
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1934) all_12_12 = e12
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (89), (1934) imply:
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1935) ~ (all_12_4 = e12)
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (531), (1159), (1175), (1894), (1935) are
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #39.
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1936) all_26_10 = e12 | all_26_11 = e12 | all_26_15 =
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e12
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1936) gives:
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1937) all_26_10 = e12
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (8), (1042), (1937) are inconsistent by sub-proof
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #47.
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1938) all_26_11 = e12 | all_26_15 = e12
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1932) gives:
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1939) all_20_15 = e13
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (673), (1939) imply:
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1940) all_12_15 = e13
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (850), (1940) imply:
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1941) $false
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1941) is inconsistent.
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1942) all_20_15 = e10
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (673), (1942) imply:
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1943) all_12_15 = e10
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (475), (1943) imply:
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1944) all_26_15 = e10
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (491), (840), (1161), (1938), (1944) are
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #38.
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1945) all_26_14 = e10
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1140), (1945) imply:
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1946) e11 = e10
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (7), (1946) imply:
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1947) $false
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1947) is inconsistent.
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1948) all_22_12 = e20
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (699), (1948) imply:
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1949) all_14_3 = e20
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1949) implies:
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1950) all_14_3 = e20
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (551), (1950) imply:
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1951) all_24_12 = e20
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (13), (14), (346), (347), (566), (800),
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (801), (817), (1543), (1690), (1951) are
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #35.
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1952) all_24_14 = e22 | all_24_15 = e22
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1952) gives:
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1953) all_24_14 = e22
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1597), (1953) imply:
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1954) e22 = e21
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12), (1954) imply:
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1955) $false
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.75 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1955) is inconsistent.
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1956) all_24_15 = e22
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1002), (1956) imply:
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1957) e22 = e20
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (817), (1957) imply:
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1958) $false
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1958) is inconsistent.
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1959) all_22_4 = e23 | all_22_4 = e20
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (679), (799), (1662), (1959) are inconsistent by
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #63.
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1960) ~ (all_24_6 = e20)
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (566), (1960) imply:
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1961) ~ (all_14_2 = e20)
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (687), (800), (801), (1638), (1961) are
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #85.
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1962) all_24_8 = e21 | all_24_11 = e21
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (14), (555), (775), (1962) are inconsistent
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | by sub-proof #58.
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (1963) ~ (all_24_4 = e23)
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (776), (1963) imply:
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (1964) ~ (all_14_8 = e23)
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (310) gives:
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1965) all_22_2 = e21
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (584), (1965) imply:
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1966) all_14_8 = e21
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1549), (1966) imply:
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1967) $false
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1967) is inconsistent.
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | (1968) all_22_2 = e23 | all_22_2 = e22 | all_22_2 = e20
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1968) gives:
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1969) all_22_2 = e22
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (584), (815), (1969) are inconsistent by sub-proof
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | #80.
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1970) all_22_2 = e23 | all_22_2 = e20
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1970) gives:
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1971) all_22_2 = e23
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (584), (1971) imply:
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1972) all_14_8 = e23
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (1972) implies:
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1973) all_14_8 = e23
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (1964), (1973) imply:
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1974) $false
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1974) is inconsistent.
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (1975) all_22_2 = e20
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (584), (814), (1975) are inconsistent by sub-proof
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | #73.
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | (1976) ~ (all_22_7 = e21)
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (695), (1976) imply:
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | (1977) ~ (all_14_13 = e21)
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1588) gives:
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | (1978) all_24_10 = e21
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (569), (1977), (1978) are inconsistent by
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #34.
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | (1979) all_24_11 = e21 | all_24_15 = e21
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (1979) gives:
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (1980) all_24_11 = e21
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (14), (555), (1980) are inconsistent by sub-proof
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | #59.
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (1981) all_24_15 = e21
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (1002), (1981) imply:
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (1982) e21 = e20
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (11), (1982) imply:
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | (1983) $false
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (1983) is inconsistent.
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | End of split
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | (1984) all_22_3 = e23 | all_22_3 = e20
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (693), (825), (1008), (1984) are inconsistent by
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | | sub-proof #82.
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | | End of split
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | | | | | End of split
% 51.11/12.76 | | | | | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | | | | End of split
% 51.11/12.76 | | | | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | | | End of split
% 51.11/12.76 | | | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | | End of split
% 51.11/12.76 | | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | End of split
% 51.11/12.76 | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | End of split
% 51.11/12.76 | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | Case 2:
% 51.11/12.76 | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | (1985) ~ (all_26_4 = e13)
% 51.11/12.76 | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | REDUCE: (614), (1985) imply:
% 51.11/12.76 | | | | | | | | | | | | | | (1986) ~ (all_12_8 = e13)
% 51.11/12.76 | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | BETA: splitting (1156) gives:
% 51.11/12.76 | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | Case 1:
% 51.11/12.76 | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | (1987) all_20_2 = e13
% 51.11/12.76 | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | COMBINE_EQS: (651), (1987) imply:
% 51.11/12.76 | | | | | | | | | | | | | | | (1988) all_12_8 = e13
% 51.11/12.76 | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | SIMP: (1988) implies:
% 51.11/12.76 | | | | | | | | | | | | | | | (1989) all_12_8 = e13
% 51.11/12.76 | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | REDUCE: (1986), (1989) imply:
% 51.11/12.76 | | | | | | | | | | | | | | | (1990) $false
% 51.11/12.76 | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | CLOSE: (1990) is inconsistent.
% 51.11/12.76 | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | Case 2:
% 51.11/12.76 | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | (1991) all_20_2 = e10
% 51.11/12.76 | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | COMBINE_EQS: (651), (1991) imply:
% 51.11/12.76 | | | | | | | | | | | | | | | (1992) all_12_8 = e10
% 51.11/12.76 | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | SIMP: (1992) implies:
% 51.11/12.76 | | | | | | | | | | | | | | | (1993) all_12_8 = e10
% 51.11/12.76 | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | REDUCE: (837), (1993) imply:
% 51.11/12.76 | | | | | | | | | | | | | | | (1994) $false
% 51.11/12.76 | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | | CLOSE: (1994) is inconsistent.
% 51.11/12.76 | | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | | End of split
% 51.11/12.76 | | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | | End of split
% 51.11/12.76 | | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | | End of split
% 51.11/12.76 | | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | End of split
% 51.11/12.76 | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | Case 2:
% 51.11/12.76 | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | (1995) all_26_15 = e11
% 51.11/12.76 | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | COMBINE_EQS: (475), (1995) imply:
% 51.11/12.76 | | | | | | | | | | | (1996) all_12_15 = e11
% 51.11/12.76 | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | SIMP: (1996) implies:
% 51.11/12.76 | | | | | | | | | | | (1997) all_12_15 = e11
% 51.11/12.76 | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | REDUCE: (1045), (1997) imply:
% 51.11/12.76 | | | | | | | | | | | (1998) $false
% 51.11/12.76 | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | | CLOSE: (1998) is inconsistent.
% 51.11/12.76 | | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | End of split
% 51.11/12.76 | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | Case 2:
% 51.11/12.76 | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | (1999) all_26_7 = e10 | all_26_8 = e10 | all_26_11 = e10
% 51.11/12.76 | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | | REF_CLOSE: (7), (9), (491), (631), (840), (1119), (1999) are
% 51.11/12.76 | | | | | | | | | | inconsistent by sub-proof #101.
% 51.11/12.76 | | | | | | | | | |
% 51.11/12.76 | | | | | | | | | End of split
% 51.11/12.76 | | | | | | | | |
% 51.11/12.76 | | | | | | | | End of split
% 51.11/12.76 | | | | | | | |
% 51.11/12.76 | | | | | | | End of split
% 51.11/12.76 | | | | | | |
% 51.11/12.76 | | | | | | Case 2:
% 51.11/12.76 | | | | | | |
% 51.11/12.76 | | | | | | | (2000) all_26_8 = e11 | all_26_11 = e11
% 51.11/12.76 | | | | | | |
% 51.11/12.76 | | | | | | | REF_CLOSE: (8), (10), (491), (631), (2000) are inconsistent by
% 51.11/12.76 | | | | | | | sub-proof #99.
% 51.11/12.76 | | | | | | |
% 51.11/12.77 | | | | | | End of split
% 51.11/12.77 | | | | | |
% 51.11/12.77 | | | | | End of split
% 51.11/12.77 | | | | |
% 51.11/12.77 | | | | End of split
% 51.11/12.77 | | | |
% 51.11/12.77 | | | End of split
% 51.11/12.77 | | |
% 51.11/12.77 | | Case 2:
% 51.11/12.77 | | |
% 51.11/12.77 | | | (2001) ~ (all_20_7 = e11)
% 51.11/12.77 | | | (2002) all_20_7 = e13 | all_20_7 = e12 | all_20_7 = e10
% 51.11/12.77 | | |
% 51.11/12.77 | | | REDUCE: (663), (2001) imply:
% 51.11/12.77 | | | (2003) ~ (all_12_13 = e11)
% 51.11/12.77 | | |
% 51.11/12.77 | | | BETA: splitting (2002) gives:
% 51.11/12.77 | | |
% 51.11/12.77 | | | Case 1:
% 51.11/12.77 | | | |
% 51.11/12.77 | | | | (2004) all_20_7 = e12
% 51.11/12.77 | | | |
% 51.11/12.77 | | | | COMBINE_EQS: (663), (2004) imply:
% 51.11/12.77 | | | | (2005) all_12_13 = e12
% 51.11/12.77 | | | |
% 51.11/12.77 | | | | SIMP: (2005) implies:
% 51.11/12.77 | | | | (2006) all_12_13 = e12
% 51.11/12.77 | | | |
% 51.11/12.77 | | | | COMBINE_EQS: (625), (2006) imply:
% 51.11/12.77 | | | | (2007) all_26_10 = e12
% 51.11/12.77 | | | |
% 51.11/12.77 | | | | REDUCE: (101), (2006) imply:
% 51.11/12.77 | | | | (2008) ~ (all_12_1 = e12)
% 51.11/12.77 | | | |
% 51.11/12.77 | | | | REDUCE: (85), (2006) imply:
% 51.11/12.77 | | | | (2009) ~ (all_12_5 = e12)
% 51.11/12.77 | | | |
% 51.11/12.77 | | | | REDUCE: (70), (2006) imply:
% 51.11/12.77 | | | | (2010) ~ (all_12_12 = e12)
% 51.11/12.77 | | | |
% 51.11/12.77 | | | | REDUCE: (66), (2006) imply:
% 51.11/12.77 | | | | (2011) ~ (all_12_15 = e12)
% 51.11/12.77 | | | |
% 51.11/12.77 | | | | SIMP: (2011) implies:
% 51.11/12.77 | | | | (2012) ~ (all_12_15 = e12)
% 51.11/12.77 | | | |
% 51.11/12.77 | | | | REDUCE: (941), (2006) imply:
% 51.11/12.77 | | | | (2013) op1(e12, e12) = all_16_26
% 51.11/12.77 | | | |
% 51.11/12.77 | | | | GROUND_INST: instantiating (32) with all_12_5, all_16_26, e12, e12,
% 51.11/12.77 | | | | simplifying with (120), (2013) gives:
% 51.11/12.77 | | | | (2014) all_16_26 = all_12_5
% 51.11/12.77 | | | |
% 51.11/12.77 | | | | BETA: splitting (219) gives:
% 51.11/12.77 | | | |
% 51.11/12.77 | | | | Case 1:
% 51.11/12.77 | | | | |
% 51.29/12.77 | | | | | (2015) (all_16_0 = e13 & all_16_2 = e12 & all_16_4 = e11 & all_16_6
% 51.29/12.77 | | | | | = e10) | (all_16_8 = e13 & all_16_10 = e12 & all_16_12 =
% 51.29/12.77 | | | | | e11 & all_16_14 = e10)
% 51.29/12.77 | | | | |
% 51.29/12.77 | | | | | BETA: splitting (2015) gives:
% 51.29/12.77 | | | | |
% 51.29/12.77 | | | | | Case 1:
% 51.29/12.77 | | | | | |
% 51.29/12.77 | | | | | | (2016) all_16_0 = e13 & all_16_2 = e12 & all_16_4 = e11 &
% 51.29/12.77 | | | | | | all_16_6 = e10
% 51.29/12.77 | | | | | |
% 51.29/12.77 | | | | | | ALPHA: (2016) implies:
% 51.29/12.77 | | | | | | (2017) all_16_6 = e10
% 51.29/12.77 | | | | | | (2018) all_16_4 = e11
% 51.29/12.77 | | | | | |
% 51.29/12.77 | | | | | | REDUCE: (932), (2018) imply:
% 51.29/12.77 | | | | | | (2019) op1(all_12_2, all_12_2) = e11
% 51.29/12.77 | | | | | |
% 51.29/12.77 | | | | | | REDUCE: (933), (2017) imply:
% 51.29/12.77 | | | | | | (2020) op1(all_12_3, all_12_3) = e10
% 51.29/12.77 | | | | | |
% 51.29/12.77 | | | | | | BETA: splitting (276) gives:
% 51.29/12.77 | | | | | |
% 51.29/12.77 | | | | | | Case 1:
% 51.29/12.77 | | | | | | |
% 51.29/12.77 | | | | | | | (2021) all_20_8 = e11
% 51.29/12.77 | | | | | | |
% 51.29/12.77 | | | | | | | COMBINE_EQS: (655), (2021) imply:
% 51.29/12.77 | | | | | | | (2022) all_12_2 = e11
% 51.29/12.77 | | | | | | |
% 51.29/12.77 | | | | | | | SIMP: (2022) implies:
% 51.29/12.77 | | | | | | | (2023) all_12_2 = e11
% 51.29/12.77 | | | | | | |
% 51.29/12.77 | | | | | | | REDUCE: (105), (2023) imply:
% 51.29/12.77 | | | | | | | (2024) ~ (all_12_1 = e11)
% 51.29/12.77 | | | | | | |
% 51.29/12.77 | | | | | | | REDUCE: (832), (2023) imply:
% 51.29/12.77 | | | | | | | (2025) ~ (e12 = e11)
% 51.29/12.77 | | | | | | |
% 51.29/12.77 | | | | | | | REDUCE: (2019), (2023) imply:
% 51.29/12.77 | | | | | | | (2026) op1(e11, e11) = e11
% 51.29/12.77 | | | | | | |
% 51.29/12.77 | | | | | | | BETA: splitting (373) gives:
% 51.29/12.77 | | | | | | |
% 51.29/12.77 | | | | | | | Case 1:
% 51.29/12.77 | | | | | | | |
% 51.29/12.77 | | | | | | | | (2027) all_26_2 = e11
% 51.29/12.77 | | | | | | | |
% 51.29/12.77 | | | | | | | | REF_CLOSE: (619), (2024), (2027) are inconsistent by sub-proof
% 51.29/12.77 | | | | | | | | #48.
% 51.29/12.77 | | | | | | | |
% 51.29/12.77 | | | | | | | Case 2:
% 51.29/12.77 | | | | | | | |
% 51.29/12.77 | | | | | | | | (2028) all_26_3 = e11 | all_26_5 = e11 | all_26_10 = e11
% 51.29/12.77 | | | | | | | |
% 51.29/12.77 | | | | | | | | BETA: splitting (2028) gives:
% 51.29/12.77 | | | | | | | |
% 51.29/12.77 | | | | | | | | Case 1:
% 51.29/12.77 | | | | | | | | |
% 51.29/12.77 | | | | | | | | | (2029) all_26_3 = e11
% 51.29/12.77 | | | | | | | | |
% 51.29/12.77 | | | | | | | | | COMBINE_EQS: (621), (2029) imply:
% 51.29/12.77 | | | | | | | | | (2030) all_12_5 = e11
% 51.29/12.77 | | | | | | | | |
% 51.29/12.77 | | | | | | | | | SIMP: (2030) implies:
% 51.29/12.77 | | | | | | | | | (2031) all_12_5 = e11
% 51.29/12.77 | | | | | | | | |
% 51.29/12.77 | | | | | | | | | REDUCE: (935), (2031) imply:
% 51.29/12.77 | | | | | | | | | (2032) op1(e11, e11) = all_16_10
% 51.29/12.77 | | | | | | | | |
% 51.29/12.77 | | | | | | | | | GROUND_INST: instantiating (32) with e12, all_16_10, e11, e11,
% 51.29/12.77 | | | | | | | | | simplifying with (18), (2032) gives:
% 51.29/12.77 | | | | | | | | | (2033) all_16_10 = e12
% 51.29/12.77 | | | | | | | | |
% 51.29/12.77 | | | | | | | | | GROUND_INST: instantiating (32) with e11, all_16_10, e11, e11,
% 51.29/12.77 | | | | | | | | | simplifying with (2026), (2032) gives:
% 51.29/12.77 | | | | | | | | | (2034) all_16_10 = e11
% 51.29/12.77 | | | | | | | | |
% 51.29/12.77 | | | | | | | | | COMBINE_EQS: (2033), (2034) imply:
% 51.29/12.77 | | | | | | | | | (2035) e12 = e11
% 51.29/12.77 | | | | | | | | |
% 51.29/12.77 | | | | | | | | | REDUCE: (8), (2035) imply:
% 51.29/12.77 | | | | | | | | | (2036) $false
% 51.29/12.77 | | | | | | | | |
% 51.29/12.77 | | | | | | | | | CLOSE: (2036) is inconsistent.
% 51.29/12.77 | | | | | | | | |
% 51.29/12.77 | | | | | | | | Case 2:
% 51.29/12.77 | | | | | | | | |
% 51.29/12.77 | | | | | | | | | (2037) all_26_5 = e11 | all_26_10 = e11
% 51.29/12.77 | | | | | | | | |
% 51.29/12.77 | | | | | | | | | REF_CLOSE: (7), (8), (777), (2007), (2037) are inconsistent by
% 51.29/12.77 | | | | | | | | | sub-proof #46.
% 51.29/12.77 | | | | | | | | |
% 51.29/12.77 | | | | | | | | End of split
% 51.29/12.77 | | | | | | | |
% 51.29/12.77 | | | | | | | End of split
% 51.29/12.77 | | | | | | |
% 51.29/12.77 | | | | | | Case 2:
% 51.29/12.77 | | | | | | |
% 51.29/12.77 | | | | | | | (2038) ~ (all_20_8 = e11)
% 51.29/12.77 | | | | | | | (2039) all_20_8 = e13 | all_20_8 = e12 | all_20_8 = e10
% 51.29/12.77 | | | | | | |
% 51.29/12.77 | | | | | | | REDUCE: (655), (2038) imply:
% 51.29/12.77 | | | | | | | (2040) ~ (all_12_2 = e11)
% 51.29/12.77 | | | | | | |
% 51.29/12.77 | | | | | | | BETA: splitting (2039) gives:
% 51.29/12.77 | | | | | | |
% 51.29/12.77 | | | | | | | Case 1:
% 51.29/12.77 | | | | | | | |
% 51.29/12.77 | | | | | | | | (2041) all_20_8 = e12
% 51.29/12.77 | | | | | | | |
% 51.29/12.77 | | | | | | | | REF_CLOSE: (655), (832), (2041) are inconsistent by sub-proof
% 51.29/12.77 | | | | | | | | #33.
% 51.29/12.77 | | | | | | | |
% 51.29/12.77 | | | | | | | Case 2:
% 51.29/12.77 | | | | | | | |
% 51.29/12.77 | | | | | | | | (2042) all_20_8 = e13 | all_20_8 = e10
% 51.29/12.77 | | | | | | | |
% 51.29/12.77 | | | | | | | | BETA: splitting (2042) gives:
% 51.29/12.77 | | | | | | | |
% 51.29/12.77 | | | | | | | | Case 1:
% 51.29/12.77 | | | | | | | | |
% 51.29/12.77 | | | | | | | | | (2043) all_20_8 = e13
% 51.29/12.77 | | | | | | | | |
% 51.29/12.77 | | | | | | | | | REF_CLOSE: (655), (833), (2043) are inconsistent by sub-proof
% 51.29/12.77 | | | | | | | | | #32.
% 51.29/12.77 | | | | | | | | |
% 51.29/12.77 | | | | | | | | Case 2:
% 51.29/12.77 | | | | | | | | |
% 51.29/12.77 | | | | | | | | | (2044) all_20_8 = e10
% 51.29/12.77 | | | | | | | | |
% 51.29/12.77 | | | | | | | | | COMBINE_EQS: (655), (2044) imply:
% 51.29/12.77 | | | | | | | | | (2045) all_12_2 = e10
% 51.29/12.78 | | | | | | | | |
% 51.29/12.78 | | | | | | | | | SIMP: (2045) implies:
% 51.29/12.78 | | | | | | | | | (2046) all_12_2 = e10
% 51.29/12.78 | | | | | | | | |
% 51.29/12.78 | | | | | | | | | COMBINE_EQS: (627), (2046) imply:
% 51.29/12.78 | | | | | | | | | (2047) all_26_6 = e10
% 51.29/12.78 | | | | | | | | |
% 51.29/12.78 | | | | | | | | | REDUCE: (100), (2046) imply:
% 51.29/12.78 | | | | | | | | | (2048) ~ (all_12_3 = e10)
% 51.29/12.78 | | | | | | | | |
% 51.29/12.78 | | | | | | | | | SIMP: (2048) implies:
% 51.29/12.78 | | | | | | | | | (2049) ~ (all_12_3 = e10)
% 51.29/12.78 | | | | | | | | |
% 51.29/12.78 | | | | | | | | | REDUCE: (2040), (2046) imply:
% 51.29/12.78 | | | | | | | | | (2050) ~ (e11 = e10)
% 51.29/12.78 | | | | | | | | |
% 51.29/12.78 | | | | | | | | | REDUCE: (2019), (2046) imply:
% 51.29/12.78 | | | | | | | | | (2051) op1(e10, e10) = e11
% 51.29/12.78 | | | | | | | | |
% 51.29/12.78 | | | | | | | | | BETA: splitting (275) gives:
% 51.29/12.78 | | | | | | | | |
% 51.29/12.78 | | | | | | | | | Case 1:
% 51.29/12.78 | | | | | | | | | |
% 51.29/12.78 | | | | | | | | | | (2052) all_20_9 = e11
% 51.29/12.78 | | | | | | | | | |
% 51.29/12.78 | | | | | | | | | | COMBINE_EQS: (657), (2052) imply:
% 51.29/12.78 | | | | | | | | | | (2053) all_12_6 = e11
% 51.29/12.78 | | | | | | | | | |
% 51.29/12.78 | | | | | | | | | | SIMP: (2053) implies:
% 51.29/12.78 | | | | | | | | | | (2054) all_12_6 = e11
% 51.29/12.78 | | | | | | | | | |
% 51.29/12.78 | | | | | | | | | | REDUCE: (92), (2054) imply:
% 51.29/12.78 | | | | | | | | | | (2055) ~ (all_12_4 = e11)
% 51.29/12.78 | | | | | | | | | |
% 51.29/12.78 | | | | | | | | | | REDUCE: (88), (2054) imply:
% 51.29/12.78 | | | | | | | | | | (2056) ~ (all_12_5 = e11)
% 51.29/12.78 | | | | | | | | | |
% 51.29/12.78 | | | | | | | | | | BETA: splitting (278) gives:
% 51.29/12.78 | | | | | | | | | |
% 51.29/12.78 | | | | | | | | | | Case 1:
% 51.29/12.78 | | | | | | | | | | |
% 51.29/12.78 | | | | | | | | | | | (2057) all_20_5 = e11
% 51.29/12.78 | | | | | | | | | | |
% 51.29/12.78 | | | | | | | | | | | REF_CLOSE: (649), (2056), (2057) are inconsistent by
% 51.29/12.78 | | | | | | | | | | | sub-proof #31.
% 51.29/12.78 | | | | | | | | | | |
% 51.29/12.78 | | | | | | | | | | Case 2:
% 51.29/12.78 | | | | | | | | | | |
% 51.29/12.78 | | | | | | | | | | | (2058) all_20_5 = e13 | all_20_5 = e12 | all_20_5 = e10
% 51.29/12.78 | | | | | | | | | | |
% 51.29/12.78 | | | | | | | | | | | BETA: splitting (2058) gives:
% 51.29/12.78 | | | | | | | | | | |
% 51.29/12.78 | | | | | | | | | | | Case 1:
% 51.29/12.78 | | | | | | | | | | | |
% 51.29/12.78 | | | | | | | | | | | | (2059) all_20_5 = e12
% 51.29/12.78 | | | | | | | | | | | |
% 51.29/12.78 | | | | | | | | | | | | REF_CLOSE: (649), (2009), (2059) are inconsistent by
% 51.29/12.78 | | | | | | | | | | | | sub-proof #30.
% 51.29/12.78 | | | | | | | | | | | |
% 51.29/12.78 | | | | | | | | | | | Case 2:
% 51.29/12.78 | | | | | | | | | | | |
% 51.29/12.78 | | | | | | | | | | | | (2060) all_20_5 = e13 | all_20_5 = e10
% 51.29/12.78 | | | | | | | | | | | |
% 51.29/12.78 | | | | | | | | | | | | BETA: splitting (2060) gives:
% 51.29/12.78 | | | | | | | | | | | |
% 51.29/12.78 | | | | | | | | | | | | Case 1:
% 51.29/12.78 | | | | | | | | | | | | |
% 51.29/12.78 | | | | | | | | | | | | | (2061) all_20_5 = e13
% 51.29/12.78 | | | | | | | | | | | | |
% 51.29/12.78 | | | | | | | | | | | | | COMBINE_EQS: (649), (2061) imply:
% 51.29/12.78 | | | | | | | | | | | | | (2062) all_12_5 = e13
% 51.29/12.78 | | | | | | | | | | | | |
% 51.29/12.78 | | | | | | | | | | | | | SIMP: (2062) implies:
% 51.29/12.78 | | | | | | | | | | | | | (2063) all_12_5 = e13
% 51.29/12.78 | | | | | | | | | | | | |
% 51.29/12.78 | | | | | | | | | | | | | REDUCE: (93), (2063) imply:
% 51.29/12.78 | | | | | | | | | | | | | (2064) ~ (all_12_4 = e13)
% 51.29/12.78 | | | | | | | | | | | | |
% 51.29/12.78 | | | | | | | | | | | | | REDUCE: (120), (2063) imply:
% 51.29/12.78 | | | | | | | | | | | | | (2065) op1(e12, e12) = e13
% 51.29/12.78 | | | | | | | | | | | | |
% 51.29/12.78 | | | | | | | | | | | | | GROUND_INST: instantiating (32) with all_12_15, e11, e10, e10,
% 51.29/12.78 | | | | | | | | | | | | | simplifying with (110), (2051) gives:
% 51.29/12.78 | | | | | | | | | | | | | (2066) all_12_15 = e11
% 51.29/12.78 | | | | | | | | | | | | |
% 51.29/12.78 | | | | | | | | | | | | | REDUCE: (94), (2066) imply:
% 51.29/12.78 | | | | | | | | | | | | | (2067) ~ (all_12_3 = e11)
% 51.29/12.78 | | | | | | | | | | | | |
% 51.29/12.78 | | | | | | | | | | | | | REDUCE: (71), (2066) imply:
% 51.29/12.78 | | | | | | | | | | | | | (2068) ~ (all_12_11 = e11)
% 51.29/12.78 | | | | | | | | | | | | |
% 51.29/12.78 | | | | | | | | | | | | | REDUCE: (68), (2066) imply:
% 51.29/12.78 | | | | | | | | | | | | | (2069) ~ (all_12_12 = e11)
% 51.29/12.78 | | | | | | | | | | | | |
% 51.29/12.78 | | | | | | | | | | | | | BETA: splitting (272) gives:
% 51.29/12.78 | | | | | | | | | | | | |
% 51.29/12.78 | | | | | | | | | | | | | Case 1:
% 51.29/12.78 | | | | | | | | | | | | | |
% 51.29/12.78 | | | | | | | | | | | | | | (2070) all_20_14 = e11
% 51.29/12.78 | | | | | | | | | | | | | |
% 51.29/12.78 | | | | | | | | | | | | | | REF_CLOSE: (671), (2068), (2070) are inconsistent by
% 51.29/12.78 | | | | | | | | | | | | | | sub-proof #29.
% 51.29/12.78 | | | | | | | | | | | | | |
% 51.29/12.78 | | | | | | | | | | | | | Case 2:
% 51.29/12.78 | | | | | | | | | | | | | |
% 51.29/12.78 | | | | | | | | | | | | | | (2071) all_20_14 = e13 | all_20_14 = e12 | all_20_14 =
% 51.29/12.78 | | | | | | | | | | | | | | e10
% 51.29/12.78 | | | | | | | | | | | | | |
% 51.29/12.78 | | | | | | | | | | | | | | BETA: splitting (280) gives:
% 51.29/12.78 | | | | | | | | | | | | | |
% 51.29/12.78 | | | | | | | | | | | | | | Case 1:
% 51.29/12.78 | | | | | | | | | | | | | | |
% 51.29/12.78 | | | | | | | | | | | | | | | (2072) all_20_3 = e11
% 51.29/12.78 | | | | | | | | | | | | | | |
% 51.29/12.78 | | | | | | | | | | | | | | | REF_CLOSE: (661), (2069), (2072) are inconsistent by
% 51.29/12.78 | | | | | | | | | | | | | | | sub-proof #28.
% 51.29/12.78 | | | | | | | | | | | | | | |
% 51.29/12.78 | | | | | | | | | | | | | | Case 2:
% 51.29/12.78 | | | | | | | | | | | | | | |
% 51.29/12.78 | | | | | | | | | | | | | | | (2073) all_20_3 = e13 | all_20_3 = e12 | all_20_3 = e10
% 51.29/12.78 | | | | | | | | | | | | | | |
% 51.29/12.78 | | | | | | | | | | | | | | | BETA: splitting (2073) gives:
% 51.29/12.78 | | | | | | | | | | | | | | |
% 51.29/12.78 | | | | | | | | | | | | | | | Case 1:
% 51.29/12.78 | | | | | | | | | | | | | | | |
% 51.29/12.78 | | | | | | | | | | | | | | | | (2074) all_20_3 = e12
% 51.29/12.78 | | | | | | | | | | | | | | | |
% 51.29/12.78 | | | | | | | | | | | | | | | | REF_CLOSE: (661), (2010), (2074) are inconsistent by
% 51.29/12.78 | | | | | | | | | | | | | | | | sub-proof #27.
% 51.29/12.78 | | | | | | | | | | | | | | | |
% 51.29/12.78 | | | | | | | | | | | | | | | Case 2:
% 51.29/12.78 | | | | | | | | | | | | | | | |
% 51.29/12.78 | | | | | | | | | | | | | | | | (2075) all_20_3 = e13 | all_20_3 = e10
% 51.29/12.78 | | | | | | | | | | | | | | | |
% 51.29/12.78 | | | | | | | | | | | | | | | | BETA: splitting (2075) gives:
% 51.29/12.78 | | | | | | | | | | | | | | | |
% 51.29/12.78 | | | | | | | | | | | | | | | | Case 1:
% 51.29/12.78 | | | | | | | | | | | | | | | | |
% 51.29/12.78 | | | | | | | | | | | | | | | | | (2076) all_20_3 = e13
% 51.29/12.78 | | | | | | | | | | | | | | | | |
% 51.29/12.78 | | | | | | | | | | | | | | | | | REF_CLOSE: (661), (847), (2076) are inconsistent by sub-proof
% 51.29/12.78 | | | | | | | | | | | | | | | | | #26.
% 51.29/12.78 | | | | | | | | | | | | | | | | |
% 51.29/12.78 | | | | | | | | | | | | | | | | Case 2:
% 51.29/12.78 | | | | | | | | | | | | | | | | |
% 51.29/12.78 | | | | | | | | | | | | | | | | | (2077) all_20_3 = e10
% 51.29/12.78 | | | | | | | | | | | | | | | | |
% 51.29/12.78 | | | | | | | | | | | | | | | | | COMBINE_EQS: (661), (2077) imply:
% 51.29/12.78 | | | | | | | | | | | | | | | | | (2078) all_12_12 = e10
% 51.29/12.78 | | | | | | | | | | | | | | | | |
% 51.29/12.78 | | | | | | | | | | | | | | | | | SIMP: (2078) implies:
% 51.29/12.78 | | | | | | | | | | | | | | | | | (2079) all_12_12 = e10
% 51.29/12.78 | | | | | | | | | | | | | | | | |
% 51.29/12.78 | | | | | | | | | | | | | | | | | REDUCE: (89), (2079) imply:
% 51.29/12.78 | | | | | | | | | | | | | | | | | (2080) ~ (all_12_4 = e10)
% 51.29/12.78 | | | | | | | | | | | | | | | | |
% 51.29/12.78 | | | | | | | | | | | | | | | | | BETA: splitting (282) gives:
% 51.29/12.78 | | | | | | | | | | | | | | | | |
% 51.29/12.78 | | | | | | | | | | | | | | | | | Case 1:
% 51.29/12.78 | | | | | | | | | | | | | | | | | |
% 51.29/12.78 | | | | | | | | | | | | | | | | | | (2081) all_20_1 = e11
% 51.29/12.78 | | | | | | | | | | | | | | | | | |
% 51.29/12.78 | | | | | | | | | | | | | | | | | | REF_CLOSE: (531), (2055), (2081) are inconsistent by
% 51.29/12.78 | | | | | | | | | | | | | | | | | | sub-proof #96.
% 51.29/12.78 | | | | | | | | | | | | | | | | | |
% 51.29/12.78 | | | | | | | | | | | | | | | | | Case 2:
% 51.29/12.78 | | | | | | | | | | | | | | | | | |
% 51.29/12.78 | | | | | | | | | | | | | | | | | | (2082) all_20_1 = e13 | all_20_1 = e12 | all_20_1 = e10
% 51.29/12.78 | | | | | | | | | | | | | | | | | |
% 51.29/12.78 | | | | | | | | | | | | | | | | | | BETA: splitting (2071) gives:
% 51.29/12.78 | | | | | | | | | | | | | | | | | |
% 51.29/12.78 | | | | | | | | | | | | | | | | | | Case 1:
% 51.29/12.78 | | | | | | | | | | | | | | | | | | |
% 51.29/12.78 | | | | | | | | | | | | | | | | | | | (2083) all_20_14 = e12
% 51.29/12.78 | | | | | | | | | | | | | | | | | | |
% 51.29/12.78 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (671), (2083) imply:
% 51.29/12.78 | | | | | | | | | | | | | | | | | | | (2084) all_12_11 = e12
% 51.29/12.78 | | | | | | | | | | | | | | | | | | |
% 51.29/12.78 | | | | | | | | | | | | | | | | | | | REDUCE: (846), (2084) imply:
% 51.29/12.78 | | | | | | | | | | | | | | | | | | | (2085) $false
% 51.29/12.78 | | | | | | | | | | | | | | | | | | |
% 51.29/12.78 | | | | | | | | | | | | | | | | | | | CLOSE: (2085) is inconsistent.
% 51.29/12.78 | | | | | | | | | | | | | | | | | | |
% 51.29/12.78 | | | | | | | | | | | | | | | | | | Case 2:
% 51.29/12.78 | | | | | | | | | | | | | | | | | | |
% 51.29/12.78 | | | | | | | | | | | | | | | | | | | (2086) all_20_14 = e13 | all_20_14 = e10
% 51.29/12.78 | | | | | | | | | | | | | | | | | | |
% 51.29/12.78 | | | | | | | | | | | | | | | | | | | BETA: splitting (2086) gives:
% 51.29/12.78 | | | | | | | | | | | | | | | | | | |
% 51.29/12.78 | | | | | | | | | | | | | | | | | | | Case 1:
% 51.29/12.78 | | | | | | | | | | | | | | | | | | | |
% 51.29/12.78 | | | | | | | | | | | | | | | | | | | | (2087) all_20_14 = e13
% 51.29/12.78 | | | | | | | | | | | | | | | | | | | |
% 51.29/12.78 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (671), (2087) imply:
% 51.29/12.78 | | | | | | | | | | | | | | | | | | | | (2088) all_12_11 = e13
% 51.29/12.78 | | | | | | | | | | | | | | | | | | | |
% 51.29/12.78 | | | | | | | | | | | | | | | | | | | | REDUCE: (95), (2088) imply:
% 51.29/12.78 | | | | | | | | | | | | | | | | | | | | (2089) ~ (all_12_3 = e13)
% 51.29/12.78 | | | | | | | | | | | | | | | | | | | |
% 51.29/12.78 | | | | | | | | | | | | | | | | | | | | BETA: splitting (274) gives:
% 51.29/12.78 | | | | | | | | | | | | | | | | | | | |
% 51.29/12.78 | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.29/12.78 | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.78 | | | | | | | | | | | | | | | | | | | | | (2090) all_20_12 = e11
% 51.29/12.78 | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.78 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (668), (2090) imply:
% 51.29/12.78 | | | | | | | | | | | | | | | | | | | | | (2091) all_12_3 = e11
% 51.29/12.78 | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.78 | | | | | | | | | | | | | | | | | | | | | SIMP: (2091) implies:
% 51.29/12.78 | | | | | | | | | | | | | | | | | | | | | (2092) all_12_3 = e11
% 51.29/12.78 | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.78 | | | | | | | | | | | | | | | | | | | | | REDUCE: (2067), (2092) imply:
% 51.29/12.78 | | | | | | | | | | | | | | | | | | | | | (2093) $false
% 51.29/12.78 | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.78 | | | | | | | | | | | | | | | | | | | | | CLOSE: (2093) is inconsistent.
% 51.29/12.78 | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.78 | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.29/12.78 | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.78 | | | | | | | | | | | | | | | | | | | | | (2094) all_20_12 = e13 | all_20_12 = e12 | all_20_12 =
% 51.29/12.78 | | | | | | | | | | | | | | | | | | | | | e10
% 51.29/12.78 | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.78 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2094) gives:
% 51.29/12.78 | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.78 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.29/12.78 | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.79 | | | | | | | | | | | | | | | | | | | | | | (2095) all_20_12 = e12
% 51.29/12.79 | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.79 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (668), (2095) imply:
% 51.29/12.79 | | | | | | | | | | | | | | | | | | | | | | (2096) all_12_3 = e12
% 51.29/12.79 | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.79 | | | | | | | | | | | | | | | | | | | | | | SIMP: (2096) implies:
% 51.29/12.79 | | | | | | | | | | | | | | | | | | | | | | (2097) all_12_3 = e12
% 51.29/12.79 | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.79 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2020), (2097) imply:
% 51.29/12.79 | | | | | | | | | | | | | | | | | | | | | | (2098) op1(e12, e12) = e10
% 51.29/12.79 | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.79 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (32), (531), (934), (2064), (2065), (2080),
% 51.29/12.79 | | | | | | | | | | | | | | | | | | | | | | (2082), (2098) are inconsistent by sub-proof #37.
% 51.29/12.79 | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.79 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.29/12.79 | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.79 | | | | | | | | | | | | | | | | | | | | | | (2099) all_20_12 = e13 | all_20_12 = e10
% 51.29/12.79 | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.79 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (668), (2049), (2089), (2099) are inconsistent by
% 51.29/12.79 | | | | | | | | | | | | | | | | | | | | | | sub-proof #43.
% 51.29/12.79 | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.79 | | | | | | | | | | | | | | | | | | | | | End of split
% 51.29/12.79 | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.79 | | | | | | | | | | | | | | | | | | | | End of split
% 51.29/12.79 | | | | | | | | | | | | | | | | | | | |
% 51.29/12.79 | | | | | | | | | | | | | | | | | | | Case 2:
% 51.29/12.79 | | | | | | | | | | | | | | | | | | | |
% 51.29/12.79 | | | | | | | | | | | | | | | | | | | | (2100) all_20_14 = e10
% 51.29/12.79 | | | | | | | | | | | | | | | | | | | |
% 51.29/12.79 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (671), (2100) imply:
% 51.29/12.79 | | | | | | | | | | | | | | | | | | | | (2101) all_12_11 = e10
% 51.29/12.79 | | | | | | | | | | | | | | | | | | | |
% 51.29/12.79 | | | | | | | | | | | | | | | | | | | | REDUCE: (842), (2101) imply:
% 51.29/12.79 | | | | | | | | | | | | | | | | | | | | (2102) $false
% 51.29/12.79 | | | | | | | | | | | | | | | | | | | |
% 51.29/12.79 | | | | | | | | | | | | | | | | | | | | CLOSE: (2102) is inconsistent.
% 51.29/12.79 | | | | | | | | | | | | | | | | | | | |
% 51.29/12.79 | | | | | | | | | | | | | | | | | | | End of split
% 51.29/12.79 | | | | | | | | | | | | | | | | | | |
% 51.29/12.79 | | | | | | | | | | | | | | | | | | End of split
% 51.29/12.79 | | | | | | | | | | | | | | | | | |
% 51.29/12.79 | | | | | | | | | | | | | | | | | End of split
% 51.29/12.79 | | | | | | | | | | | | | | | | |
% 51.29/12.79 | | | | | | | | | | | | | | | | End of split
% 51.29/12.79 | | | | | | | | | | | | | | | |
% 51.29/12.79 | | | | | | | | | | | | | | | End of split
% 51.29/12.79 | | | | | | | | | | | | | | |
% 51.29/12.79 | | | | | | | | | | | | | | End of split
% 51.29/12.79 | | | | | | | | | | | | | |
% 51.29/12.79 | | | | | | | | | | | | | End of split
% 51.29/12.79 | | | | | | | | | | | | |
% 51.29/12.79 | | | | | | | | | | | | Case 2:
% 51.29/12.79 | | | | | | | | | | | | |
% 51.29/12.79 | | | | | | | | | | | | | (2103) all_20_5 = e10
% 51.29/12.79 | | | | | | | | | | | | |
% 51.29/12.79 | | | | | | | | | | | | | REF_CLOSE: (649), (834), (2103) are inconsistent by sub-proof
% 51.29/12.79 | | | | | | | | | | | | | #25.
% 51.29/12.79 | | | | | | | | | | | | |
% 51.29/12.79 | | | | | | | | | | | | End of split
% 51.29/12.79 | | | | | | | | | | | |
% 51.29/12.79 | | | | | | | | | | | End of split
% 51.29/12.79 | | | | | | | | | | |
% 51.29/12.79 | | | | | | | | | | End of split
% 51.29/12.79 | | | | | | | | | |
% 51.29/12.79 | | | | | | | | | Case 2:
% 51.29/12.79 | | | | | | | | | |
% 51.29/12.79 | | | | | | | | | | (2104) ~ (all_20_9 = e11)
% 51.29/12.79 | | | | | | | | | |
% 51.29/12.79 | | | | | | | | | | REDUCE: (657), (2104) imply:
% 51.29/12.79 | | | | | | | | | | (2105) ~ (all_12_6 = e11)
% 51.29/12.79 | | | | | | | | | |
% 51.29/12.79 | | | | | | | | | | REF_CLOSE: (7), (8), (10), (371), (491), (629), (631),
% 51.29/12.79 | | | | | | | | | | (2047), (2105) are inconsistent by sub-proof #97.
% 51.29/12.79 | | | | | | | | | |
% 51.29/12.79 | | | | | | | | | End of split
% 51.29/12.79 | | | | | | | | |
% 51.29/12.79 | | | | | | | | End of split
% 51.29/12.79 | | | | | | | |
% 51.29/12.79 | | | | | | | End of split
% 51.29/12.79 | | | | | | |
% 51.29/12.79 | | | | | | End of split
% 51.29/12.79 | | | | | |
% 51.29/12.79 | | | | | Case 2:
% 51.29/12.79 | | | | | |
% 51.29/12.79 | | | | | | (2106) all_16_8 = e13 & all_16_10 = e12 & all_16_12 = e11 &
% 51.29/12.79 | | | | | | all_16_14 = e10
% 51.29/12.79 | | | | | |
% 51.29/12.79 | | | | | | ALPHA: (2106) implies:
% 51.29/12.79 | | | | | | (2107) all_16_14 = e10
% 51.29/12.79 | | | | | | (2108) all_16_12 = e11
% 51.29/12.79 | | | | | |
% 51.29/12.79 | | | | | | REDUCE: (936), (2108) imply:
% 51.29/12.79 | | | | | | (2109) op1(all_12_6, all_12_6) = e11
% 51.29/12.79 | | | | | |
% 51.29/12.79 | | | | | | REDUCE: (937), (2107) imply:
% 51.29/12.79 | | | | | | (2110) op1(all_12_7, all_12_7) = e10
% 51.29/12.79 | | | | | |
% 51.29/12.79 | | | | | | BETA: splitting (276) gives:
% 51.29/12.79 | | | | | |
% 51.29/12.79 | | | | | | Case 1:
% 51.29/12.79 | | | | | | |
% 51.29/12.79 | | | | | | | (2111) all_20_8 = e11
% 51.29/12.79 | | | | | | |
% 51.29/12.79 | | | | | | | COMBINE_EQS: (655), (2111) imply:
% 51.29/12.79 | | | | | | | (2112) all_12_2 = e11
% 51.29/12.79 | | | | | | |
% 51.29/12.79 | | | | | | | SIMP: (2112) implies:
% 51.29/12.79 | | | | | | | (2113) all_12_2 = e11
% 51.29/12.79 | | | | | | |
% 51.29/12.79 | | | | | | | COMBINE_EQS: (627), (2113) imply:
% 51.29/12.79 | | | | | | | (2114) all_26_6 = e11
% 51.29/12.79 | | | | | | |
% 51.29/12.79 | | | | | | | REDUCE: (108), (2113) imply:
% 51.29/12.79 | | | | | | | (2115) ~ (all_12_0 = e11)
% 51.29/12.79 | | | | | | |
% 51.29/12.79 | | | | | | | REDUCE: (105), (2113) imply:
% 51.29/12.79 | | | | | | | (2116) ~ (all_12_1 = e11)
% 51.29/12.79 | | | | | | |
% 51.29/12.79 | | | | | | | REDUCE: (99), (2113) imply:
% 51.29/12.79 | | | | | | | (2117) ~ (all_12_6 = e11)
% 51.29/12.79 | | | | | | |
% 51.29/12.79 | | | | | | | SIMP: (2117) implies:
% 51.29/12.79 | | | | | | | (2118) ~ (all_12_6 = e11)
% 51.29/12.79 | | | | | | |
% 51.29/12.79 | | | | | | | REDUCE: (832), (2113) imply:
% 51.29/12.79 | | | | | | | (2119) ~ (e12 = e11)
% 51.29/12.79 | | | | | | |
% 51.29/12.79 | | | | | | | BETA: splitting (275) gives:
% 51.29/12.79 | | | | | | |
% 51.29/12.79 | | | | | | | Case 1:
% 51.29/12.79 | | | | | | | |
% 51.29/12.79 | | | | | | | | (2120) all_20_9 = e11
% 51.29/12.79 | | | | | | | |
% 51.29/12.79 | | | | | | | | COMBINE_EQS: (657), (2120) imply:
% 51.29/12.79 | | | | | | | | (2121) all_12_6 = e11
% 51.29/12.79 | | | | | | | |
% 51.29/12.79 | | | | | | | | SIMP: (2121) implies:
% 51.29/12.79 | | | | | | | | (2122) all_12_6 = e11
% 51.29/12.79 | | | | | | | |
% 51.29/12.79 | | | | | | | | REDUCE: (2118), (2122) imply:
% 51.29/12.79 | | | | | | | | (2123) $false
% 51.29/12.79 | | | | | | | |
% 51.29/12.79 | | | | | | | | CLOSE: (2123) is inconsistent.
% 51.29/12.79 | | | | | | | |
% 51.29/12.79 | | | | | | | Case 2:
% 51.29/12.79 | | | | | | | |
% 51.29/12.79 | | | | | | | | (2124) all_20_9 = e13 | all_20_9 = e12 | all_20_9 = e10
% 51.29/12.79 | | | | | | | |
% 51.29/12.79 | | | | | | | | BETA: splitting (2124) gives:
% 51.29/12.79 | | | | | | | |
% 51.29/12.79 | | | | | | | | Case 1:
% 51.29/12.79 | | | | | | | | |
% 51.29/12.79 | | | | | | | | | (2125) all_20_9 = e12
% 51.29/12.79 | | | | | | | | |
% 51.29/12.79 | | | | | | | | | COMBINE_EQS: (657), (2125) imply:
% 51.29/12.79 | | | | | | | | | (2126) all_12_6 = e12
% 51.29/12.79 | | | | | | | | |
% 51.29/12.79 | | | | | | | | | SIMP: (2126) implies:
% 51.29/12.79 | | | | | | | | | (2127) all_12_6 = e12
% 51.29/12.79 | | | | | | | | |
% 51.29/12.79 | | | | | | | | | REDUCE: (835), (2127) imply:
% 51.29/12.79 | | | | | | | | | (2128) $false
% 51.29/12.79 | | | | | | | | |
% 51.29/12.79 | | | | | | | | | CLOSE: (2128) is inconsistent.
% 51.29/12.79 | | | | | | | | |
% 51.29/12.79 | | | | | | | | Case 2:
% 51.29/12.79 | | | | | | | | |
% 51.29/12.79 | | | | | | | | | (2129) ~ (all_20_9 = e12)
% 51.29/12.79 | | | | | | | | | (2130) all_20_9 = e13 | all_20_9 = e10
% 51.29/12.79 | | | | | | | | |
% 51.29/12.79 | | | | | | | | | BETA: splitting (373) gives:
% 51.29/12.79 | | | | | | | | |
% 51.29/12.79 | | | | | | | | | Case 1:
% 51.29/12.79 | | | | | | | | | |
% 51.29/12.79 | | | | | | | | | | (2131) all_26_2 = e11
% 51.29/12.79 | | | | | | | | | |
% 51.29/12.79 | | | | | | | | | | REF_CLOSE: (619), (2116), (2131) are inconsistent by
% 51.29/12.79 | | | | | | | | | | sub-proof #48.
% 51.29/12.79 | | | | | | | | | |
% 51.29/12.79 | | | | | | | | | Case 2:
% 51.29/12.79 | | | | | | | | | |
% 51.29/12.79 | | | | | | | | | | (2132) all_26_3 = e11 | all_26_5 = e11 | all_26_10 = e11
% 51.29/12.79 | | | | | | | | | |
% 51.29/12.79 | | | | | | | | | | BETA: splitting (2132) gives:
% 51.29/12.79 | | | | | | | | | |
% 51.29/12.79 | | | | | | | | | | Case 1:
% 51.29/12.79 | | | | | | | | | | |
% 51.29/12.79 | | | | | | | | | | | (2133) all_26_3 = e11
% 51.29/12.79 | | | | | | | | | | |
% 51.29/12.79 | | | | | | | | | | | COMBINE_EQS: (621), (2133) imply:
% 51.29/12.79 | | | | | | | | | | | (2134) all_12_5 = e11
% 51.29/12.79 | | | | | | | | | | |
% 51.29/12.79 | | | | | | | | | | | SIMP: (2134) implies:
% 51.29/12.79 | | | | | | | | | | | (2135) all_12_5 = e11
% 51.29/12.79 | | | | | | | | | | |
% 51.29/12.79 | | | | | | | | | | | REDUCE: (120), (2135) imply:
% 51.29/12.79 | | | | | | | | | | | (2136) op1(e12, e12) = e11
% 51.29/12.79 | | | | | | | | | | |
% 51.29/12.79 | | | | | | | | | | | BETA: splitting (279) gives:
% 51.29/12.79 | | | | | | | | | | |
% 51.29/12.79 | | | | | | | | | | | Case 1:
% 51.29/12.79 | | | | | | | | | | | |
% 51.29/12.79 | | | | | | | | | | | | (2137) all_20_4 = e11
% 51.29/12.79 | | | | | | | | | | | |
% 51.29/12.79 | | | | | | | | | | | | COMBINE_EQS: (646), (2137) imply:
% 51.29/12.79 | | | | | | | | | | | | (2138) all_12_1 = e11
% 51.29/12.79 | | | | | | | | | | | |
% 51.29/12.79 | | | | | | | | | | | | SIMP: (2138) implies:
% 51.29/12.80 | | | | | | | | | | | | (2139) all_12_1 = e11
% 51.29/12.80 | | | | | | | | | | | |
% 51.29/12.80 | | | | | | | | | | | | REDUCE: (2116), (2139) imply:
% 51.29/12.80 | | | | | | | | | | | | (2140) $false
% 51.29/12.80 | | | | | | | | | | | |
% 51.29/12.80 | | | | | | | | | | | | CLOSE: (2140) is inconsistent.
% 51.29/12.80 | | | | | | | | | | | |
% 51.29/12.80 | | | | | | | | | | | Case 2:
% 51.29/12.80 | | | | | | | | | | | |
% 51.29/12.80 | | | | | | | | | | | | (2141) all_20_4 = e13 | all_20_4 = e12 | all_20_4 = e10
% 51.29/12.80 | | | | | | | | | | | |
% 51.29/12.80 | | | | | | | | | | | | BETA: splitting (2141) gives:
% 51.29/12.80 | | | | | | | | | | | |
% 51.29/12.80 | | | | | | | | | | | | Case 1:
% 51.29/12.80 | | | | | | | | | | | | |
% 51.29/12.80 | | | | | | | | | | | | | (2142) all_20_4 = e12
% 51.29/12.80 | | | | | | | | | | | | |
% 51.29/12.80 | | | | | | | | | | | | | COMBINE_EQS: (646), (2142) imply:
% 51.29/12.80 | | | | | | | | | | | | | (2143) all_12_1 = e12
% 51.29/12.80 | | | | | | | | | | | | |
% 51.29/12.80 | | | | | | | | | | | | | SIMP: (2143) implies:
% 51.29/12.80 | | | | | | | | | | | | | (2144) all_12_1 = e12
% 51.29/12.80 | | | | | | | | | | | | |
% 51.29/12.80 | | | | | | | | | | | | | REDUCE: (2008), (2144) imply:
% 51.29/12.80 | | | | | | | | | | | | | (2145) $false
% 51.29/12.80 | | | | | | | | | | | | |
% 51.29/12.80 | | | | | | | | | | | | | CLOSE: (2145) is inconsistent.
% 51.29/12.80 | | | | | | | | | | | | |
% 51.29/12.80 | | | | | | | | | | | | Case 2:
% 51.29/12.80 | | | | | | | | | | | | |
% 51.29/12.80 | | | | | | | | | | | | | (2146) all_20_4 = e13 | all_20_4 = e10
% 51.29/12.80 | | | | | | | | | | | | |
% 51.29/12.80 | | | | | | | | | | | | | BETA: splitting (2146) gives:
% 51.29/12.80 | | | | | | | | | | | | |
% 51.29/12.80 | | | | | | | | | | | | | Case 1:
% 51.29/12.80 | | | | | | | | | | | | | |
% 51.29/12.80 | | | | | | | | | | | | | | (2147) all_20_4 = e13
% 51.29/12.80 | | | | | | | | | | | | | |
% 51.29/12.80 | | | | | | | | | | | | | | COMBINE_EQS: (646), (2147) imply:
% 51.29/12.80 | | | | | | | | | | | | | | (2148) all_12_1 = e13
% 51.29/12.80 | | | | | | | | | | | | | |
% 51.29/12.80 | | | | | | | | | | | | | | SIMP: (2148) implies:
% 51.29/12.80 | | | | | | | | | | | | | | (2149) all_12_1 = e13
% 51.29/12.80 | | | | | | | | | | | | | |
% 51.29/12.80 | | | | | | | | | | | | | | COMBINE_EQS: (619), (2149) imply:
% 51.29/12.80 | | | | | | | | | | | | | | (2150) all_26_2 = e13
% 51.29/12.80 | | | | | | | | | | | | | |
% 51.29/12.80 | | | | | | | | | | | | | | BETA: splitting (2130) gives:
% 51.29/12.80 | | | | | | | | | | | | | |
% 51.29/12.80 | | | | | | | | | | | | | | Case 1:
% 51.29/12.80 | | | | | | | | | | | | | | |
% 51.29/12.80 | | | | | | | | | | | | | | | (2151) all_20_9 = e13
% 51.29/12.80 | | | | | | | | | | | | | | |
% 51.29/12.80 | | | | | | | | | | | | | | | COMBINE_EQS: (657), (2151) imply:
% 51.29/12.80 | | | | | | | | | | | | | | | (2152) all_12_6 = e13
% 51.29/12.80 | | | | | | | | | | | | | | |
% 51.29/12.80 | | | | | | | | | | | | | | | SIMP: (2152) implies:
% 51.29/12.80 | | | | | | | | | | | | | | | (2153) all_12_6 = e13
% 51.29/12.80 | | | | | | | | | | | | | | |
% 51.29/12.80 | | | | | | | | | | | | | | | REDUCE: (836), (2153) imply:
% 51.29/12.80 | | | | | | | | | | | | | | | (2154) $false
% 51.29/12.80 | | | | | | | | | | | | | | |
% 51.29/12.80 | | | | | | | | | | | | | | | CLOSE: (2154) is inconsistent.
% 51.29/12.80 | | | | | | | | | | | | | | |
% 51.29/12.80 | | | | | | | | | | | | | | Case 2:
% 51.29/12.80 | | | | | | | | | | | | | | |
% 51.29/12.80 | | | | | | | | | | | | | | | (2155) all_20_9 = e10
% 51.29/12.80 | | | | | | | | | | | | | | |
% 51.29/12.80 | | | | | | | | | | | | | | | COMBINE_EQS: (657), (2155) imply:
% 51.29/12.80 | | | | | | | | | | | | | | | (2156) all_12_6 = e10
% 51.29/12.80 | | | | | | | | | | | | | | |
% 51.29/12.80 | | | | | | | | | | | | | | | SIMP: (2156) implies:
% 51.29/12.80 | | | | | | | | | | | | | | | (2157) all_12_6 = e10
% 51.29/12.80 | | | | | | | | | | | | | | |
% 51.29/12.80 | | | | | | | | | | | | | | | REDUCE: (84), (2157) imply:
% 51.29/12.80 | | | | | | | | | | | | | | | (2158) ~ (all_12_7 = e10)
% 51.29/12.80 | | | | | | | | | | | | | | |
% 51.29/12.80 | | | | | | | | | | | | | | | SIMP: (2158) implies:
% 51.29/12.80 | | | | | | | | | | | | | | | (2159) ~ (all_12_7 = e10)
% 51.29/12.80 | | | | | | | | | | | | | | |
% 51.29/12.80 | | | | | | | | | | | | | | | REDUCE: (2118), (2157) imply:
% 51.29/12.80 | | | | | | | | | | | | | | | (2160) ~ (e11 = e10)
% 51.29/12.80 | | | | | | | | | | | | | | |
% 51.29/12.80 | | | | | | | | | | | | | | | REDUCE: (2109), (2157) imply:
% 51.29/12.80 | | | | | | | | | | | | | | | (2161) op1(e10, e10) = e11
% 51.29/12.80 | | | | | | | | | | | | | | |
% 51.29/12.80 | | | | | | | | | | | | | | | GROUND_INST: instantiating (32) with all_12_15, e11, e10, e10,
% 51.29/12.80 | | | | | | | | | | | | | | | simplifying with (110), (2161) gives:
% 51.29/12.80 | | | | | | | | | | | | | | | (2162) all_12_15 = e11
% 51.29/12.80 | | | | | | | | | | | | | | |
% 51.29/12.80 | | | | | | | | | | | | | | | COMBINE_EQS: (475), (2162) imply:
% 51.29/12.80 | | | | | | | | | | | | | | | (2163) all_26_15 = e11
% 51.29/12.80 | | | | | | | | | | | | | | |
% 51.29/12.80 | | | | | | | | | | | | | | | REDUCE: (80), (2162) imply:
% 51.29/12.80 | | | | | | | | | | | | | | | (2164) ~ (all_12_7 = e11)
% 51.29/12.80 | | | | | | | | | | | | | | |
% 51.29/12.80 | | | | | | | | | | | | | | | REDUCE: (71), (2162) imply:
% 51.29/12.80 | | | | | | | | | | | | | | | (2165) ~ (all_12_11 = e11)
% 51.29/12.80 | | | | | | | | | | | | | | |
% 51.29/12.80 | | | | | | | | | | | | | | | REDUCE: (68), (2162) imply:
% 51.29/12.80 | | | | | | | | | | | | | | | (2166) ~ (all_12_12 = e11)
% 51.29/12.80 | | | | | | | | | | | | | | |
% 51.29/12.80 | | | | | | | | | | | | | | | BETA: splitting (272) gives:
% 51.29/12.80 | | | | | | | | | | | | | | |
% 51.29/12.80 | | | | | | | | | | | | | | | Case 1:
% 51.29/12.80 | | | | | | | | | | | | | | | |
% 51.29/12.80 | | | | | | | | | | | | | | | | (2167) all_20_14 = e11
% 51.29/12.80 | | | | | | | | | | | | | | | |
% 51.29/12.80 | | | | | | | | | | | | | | | | REF_CLOSE: (671), (2165), (2167) are inconsistent by
% 51.29/12.80 | | | | | | | | | | | | | | | | sub-proof #29.
% 51.29/12.80 | | | | | | | | | | | | | | | |
% 51.29/12.80 | | | | | | | | | | | | | | | Case 2:
% 51.29/12.80 | | | | | | | | | | | | | | | |
% 51.29/12.80 | | | | | | | | | | | | | | | | (2168) ~ (all_20_14 = e11)
% 51.29/12.80 | | | | | | | | | | | | | | | | (2169) all_20_14 = e13 | all_20_14 = e12 | all_20_14 =
% 51.29/12.80 | | | | | | | | | | | | | | | | e10
% 51.29/12.80 | | | | | | | | | | | | | | | |
% 51.29/12.80 | | | | | | | | | | | | | | | | BETA: splitting (2169) gives:
% 51.29/12.80 | | | | | | | | | | | | | | | |
% 51.29/12.80 | | | | | | | | | | | | | | | | Case 1:
% 51.29/12.80 | | | | | | | | | | | | | | | | |
% 51.29/12.80 | | | | | | | | | | | | | | | | | (2170) all_20_14 = e12
% 51.29/12.80 | | | | | | | | | | | | | | | | |
% 51.29/12.80 | | | | | | | | | | | | | | | | | COMBINE_EQS: (671), (2170) imply:
% 51.29/12.80 | | | | | | | | | | | | | | | | | (2171) all_12_11 = e12
% 51.29/12.80 | | | | | | | | | | | | | | | | |
% 51.29/12.80 | | | | | | | | | | | | | | | | | SIMP: (2171) implies:
% 51.29/12.80 | | | | | | | | | | | | | | | | | (2172) all_12_11 = e12
% 51.29/12.80 | | | | | | | | | | | | | | | | |
% 51.29/12.80 | | | | | | | | | | | | | | | | | REDUCE: (846), (2172) imply:
% 51.29/12.80 | | | | | | | | | | | | | | | | | (2173) $false
% 51.29/12.80 | | | | | | | | | | | | | | | | |
% 51.29/12.80 | | | | | | | | | | | | | | | | | CLOSE: (2173) is inconsistent.
% 51.29/12.80 | | | | | | | | | | | | | | | | |
% 51.29/12.80 | | | | | | | | | | | | | | | | Case 2:
% 51.29/12.80 | | | | | | | | | | | | | | | | |
% 51.29/12.80 | | | | | | | | | | | | | | | | | (2174) ~ (all_20_14 = e12)
% 51.29/12.80 | | | | | | | | | | | | | | | | | (2175) all_20_14 = e13 | all_20_14 = e10
% 51.29/12.80 | | | | | | | | | | | | | | | | |
% 51.29/12.80 | | | | | | | | | | | | | | | | | BETA: splitting (2175) gives:
% 51.29/12.80 | | | | | | | | | | | | | | | | |
% 51.29/12.80 | | | | | | | | | | | | | | | | | Case 1:
% 51.29/12.80 | | | | | | | | | | | | | | | | | |
% 51.29/12.80 | | | | | | | | | | | | | | | | | | (2176) all_20_14 = e13
% 51.29/12.80 | | | | | | | | | | | | | | | | | |
% 51.29/12.80 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (671), (2176) imply:
% 51.29/12.80 | | | | | | | | | | | | | | | | | | (2177) all_12_11 = e13
% 51.29/12.80 | | | | | | | | | | | | | | | | | |
% 51.29/12.80 | | | | | | | | | | | | | | | | | | SIMP: (2177) implies:
% 51.29/12.80 | | | | | | | | | | | | | | | | | | (2178) all_12_11 = e13
% 51.29/12.80 | | | | | | | | | | | | | | | | | |
% 51.29/12.80 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (639), (2178) imply:
% 51.29/12.80 | | | | | | | | | | | | | | | | | | (2179) all_26_14 = e13
% 51.29/12.80 | | | | | | | | | | | | | | | | | |
% 51.29/12.80 | | | | | | | | | | | | | | | | | | REDUCE: (81), (2178) imply:
% 51.29/12.80 | | | | | | | | | | | | | | | | | | (2180) ~ (all_12_7 = e13)
% 51.29/12.80 | | | | | | | | | | | | | | | | | |
% 51.29/12.80 | | | | | | | | | | | | | | | | | | REDUCE: (846), (2178) imply:
% 51.29/12.80 | | | | | | | | | | | | | | | | | | (2181) ~ (e13 = e12)
% 51.29/12.80 | | | | | | | | | | | | | | | | | |
% 51.29/12.80 | | | | | | | | | | | | | | | | | | BETA: splitting (273) gives:
% 51.29/12.80 | | | | | | | | | | | | | | | | | |
% 51.29/12.80 | | | | | | | | | | | | | | | | | | Case 1:
% 51.29/12.80 | | | | | | | | | | | | | | | | | | |
% 51.29/12.80 | | | | | | | | | | | | | | | | | | | (2182) all_20_13 = e11
% 51.29/12.80 | | | | | | | | | | | | | | | | | | |
% 51.29/12.80 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (669), (2182) imply:
% 51.29/12.80 | | | | | | | | | | | | | | | | | | | (2183) all_12_7 = e11
% 51.29/12.80 | | | | | | | | | | | | | | | | | | |
% 51.29/12.80 | | | | | | | | | | | | | | | | | | | REDUCE: (2164), (2183) imply:
% 51.29/12.80 | | | | | | | | | | | | | | | | | | | (2184) $false
% 51.29/12.80 | | | | | | | | | | | | | | | | | | |
% 51.29/12.80 | | | | | | | | | | | | | | | | | | | CLOSE: (2184) is inconsistent.
% 51.29/12.80 | | | | | | | | | | | | | | | | | | |
% 51.29/12.80 | | | | | | | | | | | | | | | | | | Case 2:
% 51.29/12.80 | | | | | | | | | | | | | | | | | | |
% 51.29/12.80 | | | | | | | | | | | | | | | | | | | (2185) ~ (all_20_13 = e11)
% 51.29/12.80 | | | | | | | | | | | | | | | | | | | (2186) all_20_13 = e13 | all_20_13 = e12 | all_20_13 =
% 51.29/12.80 | | | | | | | | | | | | | | | | | | | e10
% 51.29/12.80 | | | | | | | | | | | | | | | | | | |
% 51.29/12.80 | | | | | | | | | | | | | | | | | | | BETA: splitting (2186) gives:
% 51.29/12.80 | | | | | | | | | | | | | | | | | | |
% 51.29/12.80 | | | | | | | | | | | | | | | | | | | Case 1:
% 51.29/12.80 | | | | | | | | | | | | | | | | | | | |
% 51.29/12.80 | | | | | | | | | | | | | | | | | | | | (2187) all_20_13 = e12
% 51.29/12.80 | | | | | | | | | | | | | | | | | | | |
% 51.29/12.80 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (669), (2187) imply:
% 51.29/12.80 | | | | | | | | | | | | | | | | | | | | (2188) all_12_7 = e12
% 51.29/12.80 | | | | | | | | | | | | | | | | | | | |
% 51.29/12.80 | | | | | | | | | | | | | | | | | | | | REDUCE: (96), (2188) imply:
% 51.29/12.80 | | | | | | | | | | | | | | | | | | | | (2189) ~ (all_12_3 = e12)
% 51.29/12.80 | | | | | | | | | | | | | | | | | | | |
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | REDUCE: (2180), (2188) imply:
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | (2190) ~ (e13 = e12)
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | |
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | REDUCE: (2110), (2188) imply:
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | (2191) op1(e12, e12) = e10
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | |
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | BETA: splitting (365) gives:
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | |
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | (2192) all_26_15 = e10
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2163), (2192) imply:
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | (2193) e11 = e10
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (10), (371), (491), (629), (631),
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | (2114), (2118), (2193) are inconsistent by
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | sub-proof #24.
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | (2194) (all_26_9 = e10 | all_26_10 = e10 | all_26_11 =
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | e10) & (all_26_12 = e10 | all_26_13 = e10 |
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | all_26_14 = e10)
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | ALPHA: (2194) implies:
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | (2195) all_26_12 = e10 | all_26_13 = e10 | all_26_14 =
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | e10
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2195) gives:
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | (2196) all_26_12 = e10
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (635), (2196) imply:
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | (2197) all_12_3 = e10
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | SIMP: (2197) implies:
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | (2198) all_12_3 = e10
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (378) gives:
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | (2199) all_26_0 = e12
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (779), (2199) imply:
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | (2200) all_12_0 = e12
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2200) implies:
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | (2201) all_12_0 = e12
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (106), (2201) imply:
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | (2202) ~ (all_12_12 = e12)
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (930), (2201) imply:
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | (2203) op1(e12, e12) = all_16_0
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (280) gives:
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | | (2204) all_20_3 = e11
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (661), (2166), (2204) are inconsistent by
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #28.
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | | (2205) ~ (all_20_3 = e11)
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | | (2206) all_20_3 = e13 | all_20_3 = e12 | all_20_3 = e10
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2206) gives:
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | (2207) all_20_3 = e12
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (661), (2010), (2207) are inconsistent by
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #27.
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | (2208) all_20_3 = e13 | all_20_3 = e10
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2208) gives:
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (2209) all_20_3 = e13
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (661), (847), (2209) are inconsistent by sub-proof
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | | #26.
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (2210) all_20_3 = e10
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (661), (2210) imply:
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (2211) all_12_12 = e10
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2211) implies:
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (2212) all_12_12 = e10
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (32) with e11, all_16_0, e12, e12,
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2136), (2203) gives:
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (2213) all_16_0 = e11
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (32) with e10, all_16_0, e12, e12,
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2191), (2203) gives:
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (2214) all_16_0 = e10
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2213), (2214) imply:
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (2215) e11 = e10
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (10), (371), (491), (629), (631),
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | | (2114), (2118), (2215) are inconsistent by
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #24.
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | (2216) all_26_2 = e12 | all_26_6 = e12 | all_26_12 = e12
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2216) gives:
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | | (2217) all_26_2 = e12
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2150), (2217) imply:
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | | (2218) e13 = e12
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2218) implies:
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | | (2219) e13 = e12
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2181), (2219) imply:
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | | (2220) $false
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2220) is inconsistent.
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | | (2221) all_26_6 = e12 | all_26_12 = e12
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2221) gives:
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | (2222) all_26_6 = e12
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2114), (2222) imply:
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | (2223) e12 = e11
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (2223) imply:
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | (2224) $false
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2224) is inconsistent.
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | (2225) all_26_12 = e12
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2196), (2225) imply:
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | | | (2226) e12 = e10
% 51.29/12.81 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (840), (2226) imply:
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | (2227) $false
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2227) is inconsistent.
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | | (2228) all_26_13 = e10 | all_26_14 = e10
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (482), (2159), (2179), (2228) are
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #23.
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | End of split
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | End of split
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | |
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | Case 2:
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | |
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | (2229) ~ (all_20_13 = e12)
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | |
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | REDUCE: (669), (2229) imply:
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | (2230) ~ (all_12_7 = e12)
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | |
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | BETA: splitting (365) gives:
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | |
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | (2231) all_26_15 = e10
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2163), (2231) imply:
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | (2232) e11 = e10
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (10), (371), (491), (629), (631),
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | (2114), (2118), (2232) are inconsistent by
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | sub-proof #24.
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | (2233) (all_26_9 = e10 | all_26_10 = e10 | all_26_11 =
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | e10) & (all_26_12 = e10 | all_26_13 = e10 |
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | all_26_14 = e10)
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | ALPHA: (2233) implies:
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | (2234) all_26_12 = e10 | all_26_13 = e10 | all_26_14 =
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | e10
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2234) gives:
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | | (2235) all_26_12 = e10
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (367) gives:
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | | | (2236) all_26_12 = e12
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2235), (2236) imply:
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | | | (2237) e12 = e10
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (840), (2237) imply:
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | | | (2238) $false
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2238) is inconsistent.
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | | | (2239) all_26_13 = e12 | all_26_14 = e12 | all_26_15 =
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | | | e12
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2239) gives:
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | | | | (2240) all_26_13 = e12
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (482), (2230), (2240) are inconsistent by
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #41.
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | | | | (2241) all_26_14 = e12 | all_26_15 = e12
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2241) gives:
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | (2242) all_26_14 = e12
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2179), (2242) imply:
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | (2243) e13 = e12
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2243) implies:
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | (2244) e13 = e12
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2181), (2244) imply:
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | (2245) $false
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2245) is inconsistent.
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | (2246) all_26_15 = e12
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2163), (2246) imply:
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | (2247) e12 = e11
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (8), (2247) imply:
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | (2248) $false
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2248) is inconsistent.
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | | (2249) all_26_13 = e10 | all_26_14 = e10
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (9), (482), (2159), (2179), (2249) are
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #23.
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | | End of split
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | |
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | | End of split
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | |
% 51.29/12.82 | | | | | | | | | | | | | | | | | | | End of split
% 51.29/12.82 | | | | | | | | | | | | | | | | | | |
% 51.29/12.82 | | | | | | | | | | | | | | | | | | End of split
% 51.29/12.82 | | | | | | | | | | | | | | | | | |
% 51.29/12.82 | | | | | | | | | | | | | | | | | Case 2:
% 51.29/12.82 | | | | | | | | | | | | | | | | | |
% 51.29/12.82 | | | | | | | | | | | | | | | | | | (2250) all_20_14 = e10
% 51.29/12.82 | | | | | | | | | | | | | | | | | |
% 51.29/12.82 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (671), (2250) imply:
% 51.29/12.82 | | | | | | | | | | | | | | | | | | (2251) all_12_11 = e10
% 51.29/12.82 | | | | | | | | | | | | | | | | | |
% 51.29/12.82 | | | | | | | | | | | | | | | | | | SIMP: (2251) implies:
% 51.29/12.82 | | | | | | | | | | | | | | | | | | (2252) all_12_11 = e10
% 51.29/12.82 | | | | | | | | | | | | | | | | | |
% 51.29/12.82 | | | | | | | | | | | | | | | | | | REDUCE: (842), (2252) imply:
% 51.29/12.82 | | | | | | | | | | | | | | | | | | (2253) $false
% 51.29/12.82 | | | | | | | | | | | | | | | | | |
% 51.29/12.82 | | | | | | | | | | | | | | | | | | CLOSE: (2253) is inconsistent.
% 51.29/12.82 | | | | | | | | | | | | | | | | | |
% 51.29/12.82 | | | | | | | | | | | | | | | | | End of split
% 51.29/12.82 | | | | | | | | | | | | | | | | |
% 51.29/12.82 | | | | | | | | | | | | | | | | End of split
% 51.29/12.82 | | | | | | | | | | | | | | | |
% 51.29/12.82 | | | | | | | | | | | | | | | End of split
% 51.29/12.82 | | | | | | | | | | | | | | |
% 51.29/12.82 | | | | | | | | | | | | | | End of split
% 51.29/12.82 | | | | | | | | | | | | | |
% 51.29/12.82 | | | | | | | | | | | | | Case 2:
% 51.29/12.82 | | | | | | | | | | | | | |
% 51.29/12.82 | | | | | | | | | | | | | | (2254) all_20_4 = e10
% 51.29/12.82 | | | | | | | | | | | | | |
% 51.29/12.82 | | | | | | | | | | | | | | COMBINE_EQS: (646), (2254) imply:
% 51.29/12.82 | | | | | | | | | | | | | | (2255) all_12_1 = e10
% 51.29/12.82 | | | | | | | | | | | | | |
% 51.29/12.82 | | | | | | | | | | | | | | SIMP: (2255) implies:
% 51.29/12.82 | | | | | | | | | | | | | | (2256) all_12_1 = e10
% 51.29/12.82 | | | | | | | | | | | | | |
% 51.29/12.82 | | | | | | | | | | | | | | REDUCE: (831), (2256) imply:
% 51.29/12.82 | | | | | | | | | | | | | | (2257) $false
% 51.29/12.82 | | | | | | | | | | | | | |
% 51.29/12.82 | | | | | | | | | | | | | | CLOSE: (2257) is inconsistent.
% 51.29/12.82 | | | | | | | | | | | | | |
% 51.29/12.82 | | | | | | | | | | | | | End of split
% 51.29/12.82 | | | | | | | | | | | | |
% 51.29/12.82 | | | | | | | | | | | | End of split
% 51.29/12.82 | | | | | | | | | | | |
% 51.29/12.82 | | | | | | | | | | | End of split
% 51.29/12.82 | | | | | | | | | | |
% 51.29/12.82 | | | | | | | | | | Case 2:
% 51.29/12.82 | | | | | | | | | | |
% 51.29/12.82 | | | | | | | | | | | (2258) all_26_5 = e11 | all_26_10 = e11
% 51.29/12.82 | | | | | | | | | | |
% 51.29/12.82 | | | | | | | | | | | REF_CLOSE: (7), (8), (777), (2007), (2258) are inconsistent
% 51.29/12.82 | | | | | | | | | | | by sub-proof #46.
% 51.29/12.82 | | | | | | | | | | |
% 51.29/12.82 | | | | | | | | | | End of split
% 51.29/12.82 | | | | | | | | | |
% 51.29/12.82 | | | | | | | | | End of split
% 51.29/12.82 | | | | | | | | |
% 51.29/12.82 | | | | | | | | End of split
% 51.29/12.82 | | | | | | | |
% 51.29/12.82 | | | | | | | End of split
% 51.29/12.82 | | | | | | |
% 51.29/12.82 | | | | | | Case 2:
% 51.29/12.82 | | | | | | |
% 51.29/12.82 | | | | | | | (2259) ~ (all_20_8 = e11)
% 51.29/12.82 | | | | | | | (2260) all_20_8 = e13 | all_20_8 = e12 | all_20_8 = e10
% 51.29/12.82 | | | | | | |
% 51.29/12.82 | | | | | | | REDUCE: (655), (2259) imply:
% 51.29/12.82 | | | | | | | (2261) ~ (all_12_2 = e11)
% 51.29/12.82 | | | | | | |
% 51.29/12.82 | | | | | | | BETA: splitting (2260) gives:
% 51.29/12.82 | | | | | | |
% 51.29/12.82 | | | | | | | Case 1:
% 51.29/12.82 | | | | | | | |
% 51.29/12.82 | | | | | | | | (2262) all_20_8 = e12
% 51.29/12.82 | | | | | | | |
% 51.29/12.82 | | | | | | | | REF_CLOSE: (655), (832), (2262) are inconsistent by sub-proof
% 51.29/12.82 | | | | | | | | #33.
% 51.29/12.82 | | | | | | | |
% 51.29/12.82 | | | | | | | Case 2:
% 51.29/12.82 | | | | | | | |
% 51.29/12.82 | | | | | | | | (2263) all_20_8 = e13 | all_20_8 = e10
% 51.29/12.82 | | | | | | | |
% 51.29/12.82 | | | | | | | | BETA: splitting (2263) gives:
% 51.29/12.82 | | | | | | | |
% 51.29/12.82 | | | | | | | | Case 1:
% 51.29/12.82 | | | | | | | | |
% 51.29/12.82 | | | | | | | | | (2264) all_20_8 = e13
% 51.29/12.82 | | | | | | | | |
% 51.29/12.82 | | | | | | | | | REF_CLOSE: (655), (833), (2264) are inconsistent by sub-proof
% 51.29/12.82 | | | | | | | | | #32.
% 51.29/12.83 | | | | | | | | |
% 51.29/12.83 | | | | | | | | Case 2:
% 51.29/12.83 | | | | | | | | |
% 51.29/12.83 | | | | | | | | | (2265) all_20_8 = e10
% 51.29/12.83 | | | | | | | | |
% 51.29/12.83 | | | | | | | | | COMBINE_EQS: (655), (2265) imply:
% 51.29/12.83 | | | | | | | | | (2266) all_12_2 = e10
% 51.29/12.83 | | | | | | | | |
% 51.29/12.83 | | | | | | | | | SIMP: (2266) implies:
% 51.29/12.83 | | | | | | | | | (2267) all_12_2 = e10
% 51.29/12.83 | | | | | | | | |
% 51.29/12.83 | | | | | | | | | COMBINE_EQS: (627), (2267) imply:
% 51.29/12.83 | | | | | | | | | (2268) all_26_6 = e10
% 51.29/12.83 | | | | | | | | |
% 51.29/12.83 | | | | | | | | | REDUCE: (99), (2267) imply:
% 51.29/12.83 | | | | | | | | | (2269) ~ (all_12_6 = e10)
% 51.29/12.83 | | | | | | | | |
% 51.29/12.83 | | | | | | | | | SIMP: (2269) implies:
% 51.29/12.83 | | | | | | | | | (2270) ~ (all_12_6 = e10)
% 51.29/12.83 | | | | | | | | |
% 51.29/12.83 | | | | | | | | | REDUCE: (2261), (2267) imply:
% 51.29/12.83 | | | | | | | | | (2271) ~ (e11 = e10)
% 51.29/12.83 | | | | | | | | |
% 51.29/12.83 | | | | | | | | | BETA: splitting (275) gives:
% 51.29/12.83 | | | | | | | | |
% 51.29/12.83 | | | | | | | | | Case 1:
% 51.29/12.83 | | | | | | | | | |
% 51.29/12.83 | | | | | | | | | | (2272) all_20_9 = e11
% 51.29/12.83 | | | | | | | | | |
% 51.29/12.83 | | | | | | | | | | COMBINE_EQS: (657), (2272) imply:
% 51.29/12.83 | | | | | | | | | | (2273) all_12_6 = e11
% 51.29/12.83 | | | | | | | | | |
% 51.29/12.83 | | | | | | | | | | SIMP: (2273) implies:
% 51.29/12.83 | | | | | | | | | | (2274) all_12_6 = e11
% 51.29/12.83 | | | | | | | | | |
% 51.29/12.83 | | | | | | | | | | REDUCE: (88), (2274) imply:
% 51.29/12.83 | | | | | | | | | | (2275) ~ (all_12_5 = e11)
% 51.29/12.83 | | | | | | | | | |
% 51.29/12.83 | | | | | | | | | | REDUCE: (835), (2274) imply:
% 51.29/12.83 | | | | | | | | | | (2276) ~ (e12 = e11)
% 51.29/12.83 | | | | | | | | | |
% 51.29/12.83 | | | | | | | | | | REDUCE: (2109), (2274) imply:
% 51.29/12.83 | | | | | | | | | | (2277) op1(e11, e11) = e11
% 51.29/12.83 | | | | | | | | | |
% 51.29/12.83 | | | | | | | | | | BETA: splitting (278) gives:
% 51.29/12.83 | | | | | | | | | |
% 51.29/12.83 | | | | | | | | | | Case 1:
% 51.29/12.83 | | | | | | | | | | |
% 51.29/12.83 | | | | | | | | | | | (2278) all_20_5 = e11
% 51.29/12.83 | | | | | | | | | | |
% 51.29/12.83 | | | | | | | | | | | REF_CLOSE: (649), (2275), (2278) are inconsistent by
% 51.29/12.83 | | | | | | | | | | | sub-proof #31.
% 51.29/12.83 | | | | | | | | | | |
% 51.29/12.83 | | | | | | | | | | Case 2:
% 51.29/12.83 | | | | | | | | | | |
% 51.29/12.83 | | | | | | | | | | | (2279) ~ (all_20_5 = e11)
% 51.29/12.83 | | | | | | | | | | | (2280) all_20_5 = e13 | all_20_5 = e12 | all_20_5 = e10
% 51.29/12.83 | | | | | | | | | | |
% 51.29/12.83 | | | | | | | | | | | BETA: splitting (2280) gives:
% 51.29/12.83 | | | | | | | | | | |
% 51.29/12.83 | | | | | | | | | | | Case 1:
% 51.29/12.83 | | | | | | | | | | | |
% 51.29/12.83 | | | | | | | | | | | | (2281) all_20_5 = e12
% 51.29/12.83 | | | | | | | | | | | |
% 51.29/12.83 | | | | | | | | | | | | REF_CLOSE: (649), (2009), (2281) are inconsistent by
% 51.29/12.83 | | | | | | | | | | | | sub-proof #30.
% 51.29/12.83 | | | | | | | | | | | |
% 51.29/12.83 | | | | | | | | | | | Case 2:
% 51.29/12.83 | | | | | | | | | | | |
% 51.29/12.83 | | | | | | | | | | | | (2282) all_20_5 = e13 | all_20_5 = e10
% 51.29/12.83 | | | | | | | | | | | |
% 51.29/12.83 | | | | | | | | | | | | BETA: splitting (2282) gives:
% 51.29/12.83 | | | | | | | | | | | |
% 51.29/12.83 | | | | | | | | | | | | Case 1:
% 51.29/12.83 | | | | | | | | | | | | |
% 51.29/12.83 | | | | | | | | | | | | | (2283) all_20_5 = e13
% 51.29/12.83 | | | | | | | | | | | | |
% 51.29/12.83 | | | | | | | | | | | | | COMBINE_EQS: (649), (2283) imply:
% 51.29/12.83 | | | | | | | | | | | | | (2284) all_12_5 = e13
% 51.29/12.83 | | | | | | | | | | | | |
% 51.29/12.83 | | | | | | | | | | | | | SIMP: (2284) implies:
% 51.29/12.83 | | | | | | | | | | | | | (2285) all_12_5 = e13
% 51.29/12.83 | | | | | | | | | | | | |
% 51.29/12.83 | | | | | | | | | | | | | COMBINE_EQS: (621), (2285) imply:
% 51.29/12.83 | | | | | | | | | | | | | (2286) all_26_3 = e13
% 51.29/12.83 | | | | | | | | | | | | |
% 51.29/12.83 | | | | | | | | | | | | | BETA: splitting (279) gives:
% 51.29/12.83 | | | | | | | | | | | | |
% 51.29/12.83 | | | | | | | | | | | | | Case 1:
% 51.29/12.83 | | | | | | | | | | | | | |
% 51.29/12.83 | | | | | | | | | | | | | | (2287) all_20_4 = e11
% 51.29/12.83 | | | | | | | | | | | | | |
% 51.29/12.83 | | | | | | | | | | | | | | COMBINE_EQS: (646), (2287) imply:
% 51.29/12.83 | | | | | | | | | | | | | | (2288) all_12_1 = e11
% 51.29/12.83 | | | | | | | | | | | | | |
% 51.29/12.83 | | | | | | | | | | | | | | SIMP: (2288) implies:
% 51.29/12.83 | | | | | | | | | | | | | | (2289) all_12_1 = e11
% 51.29/12.83 | | | | | | | | | | | | | |
% 51.29/12.83 | | | | | | | | | | | | | | REDUCE: (931), (2289) imply:
% 51.29/12.83 | | | | | | | | | | | | | | (2290) op1(e11, e11) = all_16_2
% 51.29/12.83 | | | | | | | | | | | | | |
% 51.29/12.83 | | | | | | | | | | | | | | GROUND_INST: instantiating (32) with e12, all_16_2, e11, e11,
% 51.29/12.83 | | | | | | | | | | | | | | simplifying with (18), (2290) gives:
% 51.29/12.83 | | | | | | | | | | | | | | (2291) all_16_2 = e12
% 51.29/12.83 | | | | | | | | | | | | | |
% 51.29/12.83 | | | | | | | | | | | | | | GROUND_INST: instantiating (32) with e11, all_16_2, e11, e11,
% 51.29/12.83 | | | | | | | | | | | | | | simplifying with (2277), (2290) gives:
% 51.29/12.83 | | | | | | | | | | | | | | (2292) all_16_2 = e11
% 51.29/12.83 | | | | | | | | | | | | | |
% 51.29/12.83 | | | | | | | | | | | | | | COMBINE_EQS: (2291), (2292) imply:
% 51.29/12.83 | | | | | | | | | | | | | | (2293) e12 = e11
% 51.29/12.83 | | | | | | | | | | | | | |
% 51.29/12.83 | | | | | | | | | | | | | | REDUCE: (8), (2293) imply:
% 51.29/12.83 | | | | | | | | | | | | | | (2294) $false
% 51.29/12.83 | | | | | | | | | | | | | |
% 51.29/12.83 | | | | | | | | | | | | | | CLOSE: (2294) is inconsistent.
% 51.29/12.83 | | | | | | | | | | | | | |
% 51.29/12.83 | | | | | | | | | | | | | Case 2:
% 51.29/12.83 | | | | | | | | | | | | | |
% 51.29/12.83 | | | | | | | | | | | | | | (2295) ~ (all_20_4 = e11)
% 51.29/12.83 | | | | | | | | | | | | | |
% 51.29/12.83 | | | | | | | | | | | | | | REDUCE: (646), (2295) imply:
% 51.29/12.83 | | | | | | | | | | | | | | (2296) ~ (all_12_1 = e11)
% 51.29/12.83 | | | | | | | | | | | | | |
% 51.29/12.83 | | | | | | | | | | | | | | REF_CLOSE: (7), (8), (10), (373), (619), (777), (2007),
% 51.29/12.83 | | | | | | | | | | | | | | (2286), (2296) are inconsistent by sub-proof #45.
% 51.29/12.83 | | | | | | | | | | | | | |
% 51.29/12.83 | | | | | | | | | | | | | End of split
% 51.29/12.83 | | | | | | | | | | | | |
% 51.29/12.83 | | | | | | | | | | | | Case 2:
% 51.29/12.83 | | | | | | | | | | | | |
% 51.29/12.83 | | | | | | | | | | | | | (2297) all_20_5 = e10
% 51.29/12.83 | | | | | | | | | | | | |
% 51.29/12.83 | | | | | | | | | | | | | REF_CLOSE: (649), (834), (2297) are inconsistent by sub-proof
% 51.29/12.83 | | | | | | | | | | | | | #25.
% 51.29/12.83 | | | | | | | | | | | | |
% 51.29/12.83 | | | | | | | | | | | | End of split
% 51.29/12.83 | | | | | | | | | | | |
% 51.29/12.83 | | | | | | | | | | | End of split
% 51.29/12.83 | | | | | | | | | | |
% 51.29/12.83 | | | | | | | | | | End of split
% 51.29/12.83 | | | | | | | | | |
% 51.29/12.83 | | | | | | | | | Case 2:
% 51.29/12.83 | | | | | | | | | |
% 51.29/12.83 | | | | | | | | | | (2298) ~ (all_20_9 = e11)
% 51.29/12.83 | | | | | | | | | |
% 51.29/12.83 | | | | | | | | | | REDUCE: (657), (2298) imply:
% 51.29/12.83 | | | | | | | | | | (2299) ~ (all_12_6 = e11)
% 51.29/12.83 | | | | | | | | | |
% 51.29/12.83 | | | | | | | | | | REF_CLOSE: (7), (8), (10), (371), (491), (629), (631),
% 51.29/12.83 | | | | | | | | | | (2268), (2299) are inconsistent by sub-proof #97.
% 51.29/12.83 | | | | | | | | | |
% 51.29/12.83 | | | | | | | | | End of split
% 51.29/12.83 | | | | | | | | |
% 51.29/12.83 | | | | | | | | End of split
% 51.29/12.83 | | | | | | | |
% 51.29/12.83 | | | | | | | End of split
% 51.29/12.83 | | | | | | |
% 51.29/12.83 | | | | | | End of split
% 51.29/12.83 | | | | | |
% 51.29/12.83 | | | | | End of split
% 51.29/12.83 | | | | |
% 51.29/12.83 | | | | Case 2:
% 51.29/12.83 | | | | |
% 51.29/12.83 | | | | | (2300) (all_16_16 = e13 & all_16_18 = e12 & all_16_20 = e11 &
% 51.29/12.83 | | | | | all_16_22 = e10) | (all_16_24 = e13 & all_16_26 = e12 &
% 51.29/12.83 | | | | | all_16_28 = e11 & all_16_30 = e10)
% 51.29/12.83 | | | | |
% 51.29/12.83 | | | | | BETA: splitting (2300) gives:
% 51.29/12.83 | | | | |
% 51.29/12.83 | | | | | Case 1:
% 51.29/12.83 | | | | | |
% 51.29/12.83 | | | | | | (2301) all_16_16 = e13 & all_16_18 = e12 & all_16_20 = e11 &
% 51.29/12.83 | | | | | | all_16_22 = e10
% 51.29/12.83 | | | | | |
% 51.29/12.83 | | | | | | ALPHA: (2301) implies:
% 51.29/12.83 | | | | | | (2302) all_16_18 = e12
% 51.29/12.83 | | | | | |
% 51.29/12.83 | | | | | | COMBINE_EQS: (944), (2302) imply:
% 51.29/12.83 | | | | | | (2303) all_12_15 = e12
% 51.29/12.84 | | | | | |
% 51.29/12.84 | | | | | | REDUCE: (2012), (2303) imply:
% 51.29/12.84 | | | | | | (2304) $false
% 51.29/12.84 | | | | | |
% 51.29/12.84 | | | | | | CLOSE: (2304) is inconsistent.
% 51.29/12.84 | | | | | |
% 51.29/12.84 | | | | | Case 2:
% 51.29/12.84 | | | | | |
% 51.29/12.84 | | | | | | (2305) all_16_24 = e13 & all_16_26 = e12 & all_16_28 = e11 &
% 51.29/12.84 | | | | | | all_16_30 = e10
% 51.29/12.84 | | | | | |
% 51.29/12.84 | | | | | | ALPHA: (2305) implies:
% 51.29/12.84 | | | | | | (2306) all_16_26 = e12
% 51.29/12.84 | | | | | |
% 51.29/12.84 | | | | | | COMBINE_EQS: (2014), (2306) imply:
% 51.29/12.84 | | | | | | (2307) all_12_5 = e12
% 51.29/12.84 | | | | | |
% 51.29/12.84 | | | | | | REDUCE: (2009), (2307) imply:
% 51.29/12.84 | | | | | | (2308) $false
% 51.29/12.84 | | | | | |
% 51.29/12.84 | | | | | | CLOSE: (2308) is inconsistent.
% 51.29/12.84 | | | | | |
% 51.29/12.84 | | | | | End of split
% 51.29/12.84 | | | | |
% 51.29/12.84 | | | | End of split
% 51.29/12.84 | | | |
% 51.29/12.84 | | | Case 2:
% 51.29/12.84 | | | |
% 51.29/12.84 | | | | (2309) all_20_7 = e13 | all_20_7 = e10
% 51.29/12.84 | | | |
% 51.29/12.84 | | | | BETA: splitting (2309) gives:
% 51.29/12.84 | | | |
% 51.29/12.84 | | | | Case 1:
% 51.29/12.84 | | | | |
% 51.29/12.84 | | | | | (2310) all_20_7 = e13
% 51.29/12.84 | | | | |
% 51.29/12.84 | | | | | COMBINE_EQS: (663), (2310) imply:
% 51.29/12.84 | | | | | (2311) all_12_13 = e13
% 51.29/12.84 | | | | |
% 51.29/12.84 | | | | | SIMP: (2311) implies:
% 51.29/12.84 | | | | | (2312) all_12_13 = e13
% 51.29/12.84 | | | | |
% 51.29/12.84 | | | | | REDUCE: (848), (2312) imply:
% 51.29/12.84 | | | | | (2313) $false
% 51.29/12.84 | | | | |
% 51.29/12.84 | | | | | CLOSE: (2313) is inconsistent.
% 51.29/12.84 | | | | |
% 51.29/12.84 | | | | Case 2:
% 51.29/12.84 | | | | |
% 51.29/12.84 | | | | | (2314) all_20_7 = e10
% 51.29/12.84 | | | | |
% 51.29/12.84 | | | | | COMBINE_EQS: (663), (2314) imply:
% 51.29/12.84 | | | | | (2315) all_12_13 = e10
% 51.29/12.84 | | | | |
% 51.29/12.84 | | | | | SIMP: (2315) implies:
% 51.29/12.84 | | | | | (2316) all_12_13 = e10
% 51.29/12.84 | | | | |
% 51.29/12.84 | | | | | REDUCE: (844), (2316) imply:
% 51.29/12.84 | | | | | (2317) $false
% 51.29/12.84 | | | | |
% 51.29/12.84 | | | | | CLOSE: (2317) is inconsistent.
% 51.29/12.84 | | | | |
% 51.29/12.84 | | | | End of split
% 51.29/12.84 | | | |
% 51.29/12.84 | | | End of split
% 51.29/12.84 | | |
% 51.29/12.84 | | End of split
% 51.29/12.84 | |
% 51.29/12.84 | Case 2:
% 51.29/12.84 | |
% 51.29/12.84 | | (2318) (all_24_9 = e20 | all_24_10 = e20 | all_24_11 = e20) & (all_24_12
% 51.29/12.84 | | = e20 | all_24_13 = e20 | all_24_14 = e20)
% 51.29/12.84 | |
% 51.29/12.84 | | ALPHA: (2318) implies:
% 51.29/12.84 | | (2319) all_24_12 = e20 | all_24_13 = e20 | all_24_14 = e20
% 51.29/12.84 | | (2320) all_24_9 = e20 | all_24_10 = e20 | all_24_11 = e20
% 51.29/12.84 | |
% 51.29/12.84 | | BETA: splitting (2320) gives:
% 51.29/12.84 | |
% 51.29/12.84 | | Case 1:
% 51.29/12.84 | | |
% 51.29/12.84 | | | (2321) all_24_9 = e20
% 51.29/12.84 | | |
% 51.29/12.84 | | | COMBINE_EQS: (583), (2321) imply:
% 51.29/12.84 | | | (2322) all_14_12 = e20
% 51.29/12.84 | | |
% 51.29/12.84 | | | SIMP: (2322) implies:
% 51.29/12.84 | | | (2323) all_14_12 = e20
% 51.29/12.84 | | |
% 51.29/12.84 | | | REDUCE: (151), (2323) imply:
% 51.29/12.84 | | | (2324) ~ (all_14_4 = e20)
% 51.29/12.84 | | |
% 51.29/12.84 | | | REDUCE: (826), (2323) imply:
% 51.29/12.84 | | | (2325) ~ (all_10_1 = e20)
% 51.29/12.84 | | |
% 51.29/12.84 | | | SIMP: (2325) implies:
% 51.29/12.84 | | | (2326) ~ (all_10_1 = e20)
% 51.29/12.84 | | |
% 51.29/12.84 | | | REDUCE: (925), (2323) imply:
% 51.29/12.84 | | | (2327) op2(e20, e20) = all_18_24
% 51.29/12.84 | | |
% 51.29/12.84 | | | GROUND_INST: instantiating (33) with all_10_1, all_18_24, e20, e20,
% 51.29/12.84 | | | simplifying with (57), (2327) gives:
% 51.29/12.84 | | | (2328) all_18_24 = all_10_1
% 51.29/12.84 | | |
% 51.29/12.84 | | | BETA: splitting (253) gives:
% 51.29/12.84 | | |
% 51.29/12.84 | | | Case 1:
% 51.29/12.84 | | | |
% 51.29/12.84 | | | | (2329) (all_18_0 = e23 & all_18_2 = e22 & all_18_4 = e21 & all_18_6 =
% 51.29/12.84 | | | | e20) | (all_18_8 = e23 & all_18_10 = e22 & all_18_12 = e21 &
% 51.29/12.84 | | | | all_18_14 = e20)
% 51.29/12.84 | | | |
% 51.29/12.84 | | | | BETA: splitting (2329) gives:
% 51.29/12.84 | | | |
% 51.29/12.84 | | | | Case 1:
% 51.29/12.84 | | | | |
% 51.29/12.84 | | | | | (2330) all_18_0 = e23 & all_18_2 = e22 & all_18_4 = e21 & all_18_6
% 51.29/12.84 | | | | | = e20
% 51.29/12.84 | | | | |
% 51.29/12.84 | | | | | ALPHA: (2330) implies:
% 51.29/12.84 | | | | | (2331) all_18_6 = e20
% 51.29/12.84 | | | | | (2332) all_18_4 = e21
% 51.29/12.84 | | | | | (2333) all_18_0 = e23
% 51.29/12.84 | | | | |
% 51.29/12.84 | | | | | REDUCE: (915), (2332) imply:
% 51.29/12.84 | | | | | (2334) op2(all_14_2, all_14_2) = e21
% 51.29/12.84 | | | | |
% 51.29/12.84 | | | | | REDUCE: (916), (2331) imply:
% 51.29/12.84 | | | | | (2335) op2(all_14_3, all_14_3) = e20
% 51.29/12.84 | | | | |
% 51.29/12.84 | | | | | REDUCE: (913), (2333) imply:
% 51.29/12.84 | | | | | (2336) op2(all_8_1, all_8_1) = e23
% 51.29/12.84 | | | | |
% 51.29/12.84 | | | | | BETA: splitting (310) gives:
% 51.29/12.84 | | | | |
% 51.29/12.84 | | | | | Case 1:
% 51.29/12.84 | | | | | |
% 51.29/12.84 | | | | | | (2337) all_22_2 = e21
% 51.29/12.84 | | | | | |
% 51.29/12.84 | | | | | | COMBINE_EQS: (584), (2337) imply:
% 51.29/12.84 | | | | | | (2338) all_14_8 = e21
% 51.29/12.84 | | | | | |
% 51.29/12.84 | | | | | | SIMP: (2338) implies:
% 51.29/12.84 | | | | | | (2339) all_14_8 = e21
% 51.29/12.84 | | | | | |
% 51.29/12.84 | | | | | | REDUCE: (139), (2339) imply:
% 51.29/12.84 | | | | | | (2340) ~ (all_14_11 = e21)
% 51.29/12.84 | | | | | |
% 51.29/12.84 | | | | | | SIMP: (2340) implies:
% 51.29/12.84 | | | | | | (2341) ~ (all_14_11 = e21)
% 51.29/12.84 | | | | | |
% 51.29/12.84 | | | | | | REDUCE: (795), (2339) imply:
% 51.29/12.84 | | | | | | (2342) ~ (all_8_1 = e21)
% 51.29/12.84 | | | | | |
% 51.29/12.84 | | | | | | SIMP: (2342) implies:
% 51.29/12.84 | | | | | | (2343) ~ (all_8_1 = e21)
% 51.29/12.84 | | | | | |
% 51.29/12.84 | | | | | | REDUCE: (921), (2339) imply:
% 51.29/12.84 | | | | | | (2344) op2(e21, e21) = all_18_16
% 51.29/12.84 | | | | | |
% 51.29/12.84 | | | | | | BETA: splitting (301) gives:
% 51.29/12.84 | | | | | |
% 51.29/12.84 | | | | | | Case 1:
% 51.29/12.84 | | | | | | |
% 51.29/12.84 | | | | | | | (2345) all_22_14 = e21
% 51.29/12.84 | | | | | | |
% 51.29/12.84 | | | | | | | REF_CLOSE: (543), (2341), (2345) are inconsistent by sub-proof
% 51.29/12.84 | | | | | | | #22.
% 51.29/12.84 | | | | | | |
% 51.29/12.84 | | | | | | Case 2:
% 51.29/12.84 | | | | | | |
% 51.29/12.84 | | | | | | | (2346) all_22_14 = e23 | all_22_14 = e22 | all_22_14 = e20
% 51.29/12.84 | | | | | | |
% 51.29/12.84 | | | | | | | BETA: splitting (2346) gives:
% 51.29/12.85 | | | | | | |
% 51.29/12.85 | | | | | | | Case 1:
% 51.29/12.85 | | | | | | | |
% 51.29/12.85 | | | | | | | | (2347) all_22_14 = e22
% 51.29/12.85 | | | | | | | |
% 51.29/12.85 | | | | | | | | REF_CLOSE: (543), (823), (2347) are inconsistent by sub-proof
% 51.29/12.85 | | | | | | | | #21.
% 51.29/12.85 | | | | | | | |
% 51.29/12.85 | | | | | | | Case 2:
% 51.29/12.85 | | | | | | | |
% 51.29/12.85 | | | | | | | | (2348) all_22_14 = e23 | all_22_14 = e20
% 51.29/12.85 | | | | | | | |
% 51.29/12.85 | | | | | | | | BETA: splitting (2348) gives:
% 51.29/12.85 | | | | | | | |
% 51.29/12.85 | | | | | | | | Case 1:
% 51.29/12.85 | | | | | | | | |
% 51.29/12.85 | | | | | | | | | (2349) all_22_14 = e23
% 51.29/12.85 | | | | | | | | |
% 51.29/12.85 | | | | | | | | | COMBINE_EQS: (543), (2349) imply:
% 51.29/12.85 | | | | | | | | | (2350) all_14_11 = e23
% 51.29/12.85 | | | | | | | | |
% 51.29/12.85 | | | | | | | | | SIMP: (2350) implies:
% 51.29/12.85 | | | | | | | | | (2351) all_14_11 = e23
% 51.29/12.85 | | | | | | | | |
% 51.29/12.85 | | | | | | | | | COMBINE_EQS: (773), (2351) imply:
% 51.29/12.85 | | | | | | | | | (2352) all_24_14 = e23
% 51.29/12.85 | | | | | | | | |
% 51.29/12.85 | | | | | | | | | REDUCE: (157), (2351) imply:
% 51.29/12.85 | | | | | | | | | (2353) ~ (all_14_3 = e23)
% 51.29/12.85 | | | | | | | | |
% 51.29/12.85 | | | | | | | | | GROUND_INST: instantiating (33) with e22, all_18_16, e21, e21,
% 51.29/12.85 | | | | | | | | | simplifying with (21), (2344) gives:
% 51.29/12.85 | | | | | | | | | (2354) all_18_16 = e22
% 51.29/12.85 | | | | | | | | |
% 51.29/12.85 | | | | | | | | | BETA: splitting (304) gives:
% 51.29/12.85 | | | | | | | | |
% 51.29/12.85 | | | | | | | | | Case 1:
% 51.29/12.85 | | | | | | | | | |
% 51.29/12.85 | | | | | | | | | | (2355) all_22_9 = e21
% 51.29/12.85 | | | | | | | | | |
% 51.29/12.85 | | | | | | | | | | COMBINE_EQS: (689), (2355) imply:
% 51.29/12.85 | | | | | | | | | | (2356) all_14_6 = e21
% 51.29/12.85 | | | | | | | | | |
% 51.29/12.85 | | | | | | | | | | SIMP: (2356) implies:
% 51.29/12.85 | | | | | | | | | | (2357) all_14_6 = e21
% 51.29/12.85 | | | | | | | | | |
% 51.29/12.85 | | | | | | | | | | REDUCE: (161), (2357) imply:
% 51.29/12.85 | | | | | | | | | | (2358) ~ (all_14_2 = e21)
% 51.29/12.85 | | | | | | | | | |
% 51.29/12.85 | | | | | | | | | | REDUCE: (154), (2357) imply:
% 51.29/12.85 | | | | | | | | | | (2359) ~ (all_14_4 = e21)
% 51.29/12.85 | | | | | | | | | |
% 51.29/12.85 | | | | | | | | | | BETA: splitting (305) gives:
% 51.29/12.85 | | | | | | | | | |
% 51.29/12.85 | | | | | | | | | | Case 1:
% 51.29/12.85 | | | | | | | | | | |
% 51.29/12.85 | | | | | | | | | | | (2360) all_22_8 = e21
% 51.29/12.85 | | | | | | | | | | |
% 51.29/12.85 | | | | | | | | | | | COMBINE_EQS: (687), (2360) imply:
% 51.29/12.85 | | | | | | | | | | | (2361) all_14_2 = e21
% 51.29/12.85 | | | | | | | | | | |
% 51.29/12.85 | | | | | | | | | | | REDUCE: (2358), (2361) imply:
% 51.29/12.85 | | | | | | | | | | | (2362) $false
% 51.29/12.85 | | | | | | | | | | |
% 51.29/12.85 | | | | | | | | | | | CLOSE: (2362) is inconsistent.
% 51.29/12.85 | | | | | | | | | | |
% 51.29/12.85 | | | | | | | | | | Case 2:
% 51.29/12.85 | | | | | | | | | | |
% 51.29/12.85 | | | | | | | | | | | (2363) all_22_8 = e23 | all_22_8 = e22 | all_22_8 = e20
% 51.29/12.85 | | | | | | | | | | |
% 51.29/12.85 | | | | | | | | | | | BETA: splitting (2363) gives:
% 51.29/12.85 | | | | | | | | | | |
% 51.29/12.85 | | | | | | | | | | | Case 1:
% 51.29/12.85 | | | | | | | | | | | |
% 51.29/12.85 | | | | | | | | | | | | (2364) all_22_8 = e22
% 51.29/12.85 | | | | | | | | | | | |
% 51.29/12.85 | | | | | | | | | | | | COMBINE_EQS: (687), (2364) imply:
% 51.29/12.85 | | | | | | | | | | | | (2365) all_14_2 = e22
% 51.29/12.85 | | | | | | | | | | | |
% 51.29/12.85 | | | | | | | | | | | | REDUCE: (800), (2365) imply:
% 51.29/12.85 | | | | | | | | | | | | (2366) $false
% 51.29/12.85 | | | | | | | | | | | |
% 51.29/12.85 | | | | | | | | | | | | CLOSE: (2366) is inconsistent.
% 51.29/12.85 | | | | | | | | | | | |
% 51.29/12.85 | | | | | | | | | | | Case 2:
% 51.29/12.85 | | | | | | | | | | | |
% 51.29/12.85 | | | | | | | | | | | | (2367) all_22_8 = e23 | all_22_8 = e20
% 51.29/12.85 | | | | | | | | | | | |
% 51.29/12.85 | | | | | | | | | | | | BETA: splitting (2367) gives:
% 51.29/12.85 | | | | | | | | | | | |
% 51.29/12.85 | | | | | | | | | | | | Case 1:
% 51.29/12.85 | | | | | | | | | | | | |
% 51.29/12.85 | | | | | | | | | | | | | (2368) all_22_8 = e23
% 51.51/12.85 | | | | | | | | | | | | |
% 51.51/12.85 | | | | | | | | | | | | | COMBINE_EQS: (687), (2368) imply:
% 51.51/12.85 | | | | | | | | | | | | | (2369) all_14_2 = e23
% 51.51/12.85 | | | | | | | | | | | | |
% 51.51/12.85 | | | | | | | | | | | | | REDUCE: (801), (2369) imply:
% 51.51/12.85 | | | | | | | | | | | | | (2370) $false
% 51.51/12.85 | | | | | | | | | | | | |
% 51.51/12.85 | | | | | | | | | | | | | CLOSE: (2370) is inconsistent.
% 51.51/12.85 | | | | | | | | | | | | |
% 51.51/12.85 | | | | | | | | | | | | Case 2:
% 51.51/12.85 | | | | | | | | | | | | |
% 51.51/12.85 | | | | | | | | | | | | | (2371) all_22_8 = e20
% 51.51/12.85 | | | | | | | | | | | | |
% 51.51/12.85 | | | | | | | | | | | | | COMBINE_EQS: (687), (2371) imply:
% 51.51/12.85 | | | | | | | | | | | | | (2372) all_14_2 = e20
% 51.51/12.85 | | | | | | | | | | | | |
% 51.51/12.85 | | | | | | | | | | | | | REDUCE: (162), (2372) imply:
% 51.51/12.85 | | | | | | | | | | | | | (2373) ~ (all_14_3 = e20)
% 51.51/12.85 | | | | | | | | | | | | |
% 51.51/12.85 | | | | | | | | | | | | | SIMP: (2373) implies:
% 51.51/12.85 | | | | | | | | | | | | | (2374) ~ (all_14_3 = e20)
% 51.51/12.85 | | | | | | | | | | | | |
% 51.51/12.85 | | | | | | | | | | | | | REDUCE: (789), (2372) imply:
% 51.51/12.85 | | | | | | | | | | | | | (2375) ~ (all_8_1 = e20)
% 51.51/12.85 | | | | | | | | | | | | |
% 51.51/12.85 | | | | | | | | | | | | | SIMP: (2375) implies:
% 51.51/12.85 | | | | | | | | | | | | | (2376) ~ (all_8_1 = e20)
% 51.51/12.85 | | | | | | | | | | | | |
% 51.51/12.85 | | | | | | | | | | | | | REDUCE: (801), (2372) imply:
% 51.51/12.85 | | | | | | | | | | | | | (2377) ~ (e23 = e20)
% 51.51/12.85 | | | | | | | | | | | | |
% 51.51/12.85 | | | | | | | | | | | | | REDUCE: (2334), (2372) imply:
% 51.51/12.85 | | | | | | | | | | | | | (2378) op2(e20, e20) = e21
% 51.51/12.85 | | | | | | | | | | | | |
% 51.51/12.85 | | | | | | | | | | | | | BETA: splitting (2319) gives:
% 51.51/12.85 | | | | | | | | | | | | |
% 51.51/12.85 | | | | | | | | | | | | | Case 1:
% 51.51/12.85 | | | | | | | | | | | | | |
% 51.51/12.85 | | | | | | | | | | | | | | (2379) all_24_12 = e20
% 51.51/12.85 | | | | | | | | | | | | | |
% 51.51/12.85 | | | | | | | | | | | | | | COMBINE_EQS: (551), (2379) imply:
% 51.51/12.85 | | | | | | | | | | | | | | (2380) all_14_3 = e20
% 51.51/12.85 | | | | | | | | | | | | | |
% 51.51/12.85 | | | | | | | | | | | | | | SIMP: (2380) implies:
% 51.51/12.85 | | | | | | | | | | | | | | (2381) all_14_3 = e20
% 51.51/12.85 | | | | | | | | | | | | | |
% 51.51/12.85 | | | | | | | | | | | | | | REDUCE: (2374), (2381) imply:
% 51.51/12.85 | | | | | | | | | | | | | | (2382) $false
% 51.51/12.85 | | | | | | | | | | | | | |
% 51.51/12.85 | | | | | | | | | | | | | | CLOSE: (2382) is inconsistent.
% 51.51/12.85 | | | | | | | | | | | | | |
% 51.51/12.85 | | | | | | | | | | | | | Case 2:
% 51.51/12.85 | | | | | | | | | | | | | |
% 51.51/12.85 | | | | | | | | | | | | | | (2383) all_24_13 = e20 | all_24_14 = e20
% 51.51/12.85 | | | | | | | | | | | | | |
% 51.51/12.85 | | | | | | | | | | | | | | BETA: splitting (2383) gives:
% 51.51/12.85 | | | | | | | | | | | | | |
% 51.51/12.85 | | | | | | | | | | | | | | Case 1:
% 51.51/12.85 | | | | | | | | | | | | | | |
% 51.51/12.85 | | | | | | | | | | | | | | | (2384) all_24_13 = e20
% 51.51/12.85 | | | | | | | | | | | | | | |
% 51.51/12.85 | | | | | | | | | | | | | | | COMBINE_EQS: (774), (2384) imply:
% 51.51/12.85 | | | | | | | | | | | | | | | (2385) all_14_7 = e20
% 51.51/12.85 | | | | | | | | | | | | | | |
% 51.51/12.85 | | | | | | | | | | | | | | | REDUCE: (807), (2385) imply:
% 51.51/12.85 | | | | | | | | | | | | | | | (2386) ~ (all_6_1 = e20)
% 51.51/12.85 | | | | | | | | | | | | | | |
% 51.51/12.85 | | | | | | | | | | | | | | | REDUCE: (920), (2385) imply:
% 51.51/12.85 | | | | | | | | | | | | | | | (2387) op2(e20, e20) = all_18_14
% 51.51/12.85 | | | | | | | | | | | | | | |
% 51.51/12.85 | | | | | | | | | | | | | | | GROUND_INST: instantiating (33) with all_10_1, all_18_14, e20,
% 51.51/12.85 | | | | | | | | | | | | | | | e20, simplifying with (57), (2387) gives:
% 51.51/12.85 | | | | | | | | | | | | | | | (2388) all_18_14 = all_10_1
% 51.51/12.85 | | | | | | | | | | | | | | |
% 51.51/12.85 | | | | | | | | | | | | | | | GROUND_INST: instantiating (33) with e21, all_18_14, e20, e20,
% 51.51/12.85 | | | | | | | | | | | | | | | simplifying with (2378), (2387) gives:
% 51.51/12.85 | | | | | | | | | | | | | | | (2389) all_18_14 = e21
% 51.51/12.85 | | | | | | | | | | | | | | |
% 51.51/12.85 | | | | | | | | | | | | | | | COMBINE_EQS: (2388), (2389) imply:
% 51.51/12.85 | | | | | | | | | | | | | | | (2390) all_10_1 = e21
% 51.51/12.85 | | | | | | | | | | | | | | |
% 51.51/12.85 | | | | | | | | | | | | | | | SIMP: (2390) implies:
% 51.51/12.85 | | | | | | | | | | | | | | | (2391) all_10_1 = e21
% 51.51/12.85 | | | | | | | | | | | | | | |
% 51.51/12.85 | | | | | | | | | | | | | | | REDUCE: (802), (2391) imply:
% 51.51/12.85 | | | | | | | | | | | | | | | (2392) ~ (all_14_3 = e21)
% 51.51/12.85 | | | | | | | | | | | | | | |
% 51.51/12.85 | | | | | | | | | | | | | | | REDUCE: (828), (2391) imply:
% 51.51/12.86 | | | | | | | | | | | | | | | (2393) ~ (all_14_13 = e21)
% 51.51/12.86 | | | | | | | | | | | | | | |
% 51.51/12.86 | | | | | | | | | | | | | | | REDUCE: (830), (2391) imply:
% 51.51/12.86 | | | | | | | | | | | | | | | (2394) ~ (e23 = e21)
% 51.51/12.86 | | | | | | | | | | | | | | |
% 51.51/12.86 | | | | | | | | | | | | | | | BETA: splitting (303) gives:
% 51.51/12.86 | | | | | | | | | | | | | | |
% 51.51/12.86 | | | | | | | | | | | | | | | Case 1:
% 51.51/12.86 | | | | | | | | | | | | | | | |
% 51.51/12.86 | | | | | | | | | | | | | | | | (2395) all_22_12 = e21
% 51.51/12.86 | | | | | | | | | | | | | | | |
% 51.51/12.86 | | | | | | | | | | | | | | | | REF_CLOSE: (699), (2392), (2395) are inconsistent by
% 51.51/12.86 | | | | | | | | | | | | | | | | sub-proof #49.
% 51.51/12.86 | | | | | | | | | | | | | | | |
% 51.51/12.86 | | | | | | | | | | | | | | | Case 2:
% 51.51/12.86 | | | | | | | | | | | | | | | |
% 51.51/12.86 | | | | | | | | | | | | | | | | (2396) all_22_12 = e23 | all_22_12 = e22 | all_22_12 =
% 51.51/12.86 | | | | | | | | | | | | | | | | e20
% 51.51/12.86 | | | | | | | | | | | | | | | |
% 51.51/12.86 | | | | | | | | | | | | | | | | BETA: splitting (306) gives:
% 51.51/12.86 | | | | | | | | | | | | | | | |
% 51.51/12.86 | | | | | | | | | | | | | | | | Case 1:
% 51.51/12.86 | | | | | | | | | | | | | | | | |
% 51.51/12.86 | | | | | | | | | | | | | | | | | (2397) all_22_7 = e21
% 51.51/12.86 | | | | | | | | | | | | | | | | |
% 51.51/12.86 | | | | | | | | | | | | | | | | | COMBINE_EQS: (695), (2397) imply:
% 51.51/12.86 | | | | | | | | | | | | | | | | | (2398) all_14_13 = e21
% 51.51/12.86 | | | | | | | | | | | | | | | | |
% 51.51/12.86 | | | | | | | | | | | | | | | | | REDUCE: (2393), (2398) imply:
% 51.51/12.86 | | | | | | | | | | | | | | | | | (2399) $false
% 51.51/12.86 | | | | | | | | | | | | | | | | |
% 51.51/12.86 | | | | | | | | | | | | | | | | | CLOSE: (2399) is inconsistent.
% 51.51/12.86 | | | | | | | | | | | | | | | | |
% 51.51/12.86 | | | | | | | | | | | | | | | | Case 2:
% 51.51/12.86 | | | | | | | | | | | | | | | | |
% 51.51/12.86 | | | | | | | | | | | | | | | | | (2400) all_22_7 = e23 | all_22_7 = e22 | all_22_7 = e20
% 51.51/12.86 | | | | | | | | | | | | | | | | |
% 51.51/12.86 | | | | | | | | | | | | | | | | | BETA: splitting (331) gives:
% 51.51/12.86 | | | | | | | | | | | | | | | | |
% 51.51/12.86 | | | | | | | | | | | | | | | | | Case 1:
% 51.51/12.86 | | | | | | | | | | | | | | | | | |
% 51.51/12.86 | | | | | | | | | | | | | | | | | | (2401) all_24_12 = e22
% 51.51/12.86 | | | | | | | | | | | | | | | | | |
% 51.51/12.86 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (551), (2401) imply:
% 51.51/12.86 | | | | | | | | | | | | | | | | | | (2402) all_14_3 = e22
% 51.51/12.86 | | | | | | | | | | | | | | | | | |
% 51.51/12.86 | | | | | | | | | | | | | | | | | | REDUCE: (166), (2402) imply:
% 51.51/12.86 | | | | | | | | | | | | | | | | | | (2403) ~ (all_14_1 = e22)
% 51.51/12.86 | | | | | | | | | | | | | | | | | |
% 51.51/12.86 | | | | | | | | | | | | | | | | | | REDUCE: (791), (2402) imply:
% 51.51/12.86 | | | | | | | | | | | | | | | | | | (2404) ~ (all_8_1 = e22)
% 51.51/12.86 | | | | | | | | | | | | | | | | | |
% 51.51/12.86 | | | | | | | | | | | | | | | | | | SIMP: (2404) implies:
% 51.51/12.86 | | | | | | | | | | | | | | | | | | (2405) ~ (all_8_1 = e22)
% 51.51/12.86 | | | | | | | | | | | | | | | | | |
% 51.51/12.86 | | | | | | | | | | | | | | | | | | REDUCE: (2335), (2402) imply:
% 51.51/12.86 | | | | | | | | | | | | | | | | | | (2406) op2(e22, e22) = e20
% 51.51/12.86 | | | | | | | | | | | | | | | | | |
% 51.51/12.86 | | | | | | | | | | | | | | | | | | BETA: splitting (312) gives:
% 51.51/12.86 | | | | | | | | | | | | | | | | | |
% 51.51/12.86 | | | | | | | | | | | | | | | | | | Case 1:
% 51.51/12.86 | | | | | | | | | | | | | | | | | | |
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | (2407) all_22_0 = e21
% 51.51/12.86 | | | | | | | | | | | | | | | | | | |
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (675), (2343), (2407) are inconsistent by
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | sub-proof #79.
% 51.51/12.86 | | | | | | | | | | | | | | | | | | |
% 51.51/12.86 | | | | | | | | | | | | | | | | | | Case 2:
% 51.51/12.86 | | | | | | | | | | | | | | | | | | |
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | (2408) all_22_0 = e23 | all_22_0 = e22 | all_22_0 = e20
% 51.51/12.86 | | | | | | | | | | | | | | | | | | |
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | BETA: splitting (2408) gives:
% 51.51/12.86 | | | | | | | | | | | | | | | | | | |
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | Case 1:
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | |
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | (2409) all_22_0 = e22
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | |
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (675), (2405), (2409) are inconsistent by
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | sub-proof #66.
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | |
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | Case 2:
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | |
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | (2410) all_22_0 = e23 | all_22_0 = e20
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | |
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | BETA: splitting (338) gives:
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | |
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | (2411) all_24_2 = e21
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (580), (2411) imply:
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | (2412) all_14_1 = e21
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | SIMP: (2412) implies:
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | (2413) all_14_1 = e21
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (339) gives:
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | (2414) all_24_2 = e23
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2411), (2414) imply:
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | (2415) e23 = e21
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (2415) imply:
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | (2416) $false
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2416) is inconsistent.
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | (2417) all_24_3 = e23 | all_24_5 = e23 | all_24_10 = e23
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (347) gives:
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | | (2418) all_24_0 = e23
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (593), (2418) imply:
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | | (2419) all_8_1 = e23
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2419) implies:
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | | (2420) all_8_1 = e23
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (793), (2420) imply:
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | | (2421) ~ (all_14_4 = e23)
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (311) gives:
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | | | (2422) all_22_1 = e21
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (676), (2359), (2422) are inconsistent by
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #78.
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | | | (2423) all_22_1 = e23 | all_22_1 = e22 | all_22_1 = e20
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2423) gives:
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | (2424) all_22_1 = e22
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (676), (2424) imply:
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | (2425) all_14_4 = e22
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2425) implies:
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | (2426) all_14_4 = e22
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (803), (2426) imply:
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | (2427) ~ (all_6_1 = e22)
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2427) implies:
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | (2428) ~ (all_6_1 = e22)
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (917), (2426) imply:
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | (2429) op2(e22, e22) = all_18_8
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (307) gives:
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | (2430) all_22_5 = e21
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (681), (2430) imply:
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | (2431) all_6_1 = e21
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (577), (2431) imply:
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | (2432) all_24_3 = e21
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (14), (569), (573), (827), (2417), (2432)
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #56.
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | (2433) all_22_5 = e23 | all_22_5 = e22 | all_22_5 = e20
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2433) gives:
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2434) all_22_5 = e22
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (681), (2434) imply:
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2435) all_6_1 = e22
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2428), (2435) imply:
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2436) $false
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2436) is inconsistent.
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2437) all_22_5 = e23 | all_22_5 = e20
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2437) gives:
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2438) all_22_5 = e23
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (681), (2438) imply:
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2439) all_6_1 = e23
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (43), (2439) imply:
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2440) op2(e22, e22) = e23
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2400) gives:
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2441) all_22_7 = e22
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.86 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (695), (2441) imply:
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2442) all_14_13 = e22
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2442) implies:
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2443) all_14_13 = e22
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (926), (2443) imply:
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2444) op2(e22, e22) = all_18_26
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (33) with e20, all_18_26, e22, e22,
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2406), (2444) gives:
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2445) all_18_26 = e20
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (33) with all_18_26, all_18_8, e22,
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | e22, simplifying with (2429), (2444) gives:
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2446) all_18_8 = all_18_26
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (33) with e23, all_18_8, e22, e22,
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2429), (2440) gives:
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2447) all_18_8 = e23
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2446), (2447) imply:
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2448) all_18_26 = e23
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2448) implies:
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2449) all_18_26 = e23
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2445), (2449) imply:
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2450) e23 = e20
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (13), (2450) imply:
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2451) $false
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2451) is inconsistent.
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2452) all_22_7 = e23 | all_22_7 = e20
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (695), (821), (827), (2452) are inconsistent by
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #71.
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2453) all_22_5 = e20
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (681), (2453) imply:
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2454) all_6_1 = e20
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (808), (2454) imply:
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2455) $false
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2455) is inconsistent.
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | | | | | (2456) all_22_1 = e23 | all_22_1 = e20
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (676), (2324), (2421), (2456) are inconsistent by
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #90.
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | | | (2457) ~ (all_24_0 = e23)
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (593), (2457) imply:
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | | | (2458) ~ (all_8_1 = e23)
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (675), (2376), (2410), (2458) are inconsistent by
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | | | sub-proof #76.
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | End of split
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | (2459) ~ (all_24_2 = e21)
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | REDUCE: (580), (2459) imply:
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | (2460) ~ (all_14_1 = e21)
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (308) gives:
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | | (2461) all_22_4 = e21
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (679), (2460), (2461) are inconsistent by
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | | sub-proof #65.
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | | (2462) all_22_4 = e23 | all_22_4 = e22 | all_22_4 = e20
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (675), (679), (787), (799), (2376), (2403),
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | | (2410), (2462) are inconsistent by sub-proof #62.
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | | End of split
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | |
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | | End of split
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | |
% 51.51/12.87 | | | | | | | | | | | | | | | | | | | End of split
% 51.51/12.87 | | | | | | | | | | | | | | | | | | |
% 51.51/12.87 | | | | | | | | | | | | | | | | | | End of split
% 51.51/12.87 | | | | | | | | | | | | | | | | | |
% 51.51/12.87 | | | | | | | | | | | | | | | | | Case 2:
% 51.51/12.87 | | | | | | | | | | | | | | | | | |
% 51.51/12.87 | | | | | | | | | | | | | | | | | | (2463) ~ (all_24_12 = e22)
% 51.51/12.87 | | | | | | | | | | | | | | | | | |
% 51.51/12.87 | | | | | | | | | | | | | | | | | | REF_CLOSE: (551), (699), (2353), (2374), (2396), (2463) are
% 51.51/12.87 | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #52.
% 51.51/12.87 | | | | | | | | | | | | | | | | | |
% 51.51/12.87 | | | | | | | | | | | | | | | | | End of split
% 51.51/12.87 | | | | | | | | | | | | | | | | |
% 51.51/12.87 | | | | | | | | | | | | | | | | End of split
% 51.51/12.87 | | | | | | | | | | | | | | | |
% 51.51/12.87 | | | | | | | | | | | | | | | End of split
% 51.51/12.87 | | | | | | | | | | | | | | |
% 51.51/12.87 | | | | | | | | | | | | | | Case 2:
% 51.51/12.87 | | | | | | | | | | | | | | |
% 51.51/12.87 | | | | | | | | | | | | | | | (2464) all_24_14 = e20
% 51.51/12.87 | | | | | | | | | | | | | | |
% 51.51/12.87 | | | | | | | | | | | | | | | COMBINE_EQS: (2352), (2464) imply:
% 51.51/12.87 | | | | | | | | | | | | | | | (2465) e23 = e20
% 51.51/12.87 | | | | | | | | | | | | | | |
% 51.51/12.87 | | | | | | | | | | | | | | | REDUCE: (13), (2465) imply:
% 51.51/12.87 | | | | | | | | | | | | | | | (2466) $false
% 51.51/12.87 | | | | | | | | | | | | | | |
% 51.51/12.87 | | | | | | | | | | | | | | | CLOSE: (2466) is inconsistent.
% 51.51/12.87 | | | | | | | | | | | | | | |
% 51.51/12.87 | | | | | | | | | | | | | | End of split
% 51.51/12.87 | | | | | | | | | | | | | |
% 51.51/12.87 | | | | | | | | | | | | | End of split
% 51.51/12.87 | | | | | | | | | | | | |
% 51.51/12.87 | | | | | | | | | | | | End of split
% 51.51/12.87 | | | | | | | | | | | |
% 51.51/12.87 | | | | | | | | | | | End of split
% 51.51/12.87 | | | | | | | | | | |
% 51.51/12.87 | | | | | | | | | | End of split
% 51.51/12.87 | | | | | | | | | |
% 51.51/12.87 | | | | | | | | | Case 2:
% 51.51/12.87 | | | | | | | | | |
% 51.51/12.87 | | | | | | | | | | (2467) all_22_9 = e23 | all_22_9 = e22 | all_22_9 = e20
% 51.51/12.87 | | | | | | | | | |
% 51.51/12.87 | | | | | | | | | | REF_CLOSE: (21), (33), (161), (305), (687), (689), (800),
% 51.51/12.87 | | | | | | | | | | (801), (811), (812), (2334), (2467) are
% 51.51/12.87 | | | | | | | | | | inconsistent by sub-proof #83.
% 51.51/12.87 | | | | | | | | | |
% 51.51/12.87 | | | | | | | | | End of split
% 51.51/12.87 | | | | | | | | |
% 51.51/12.87 | | | | | | | | Case 2:
% 51.51/12.87 | | | | | | | | |
% 51.51/12.87 | | | | | | | | | (2468) all_22_14 = e20
% 51.51/12.87 | | | | | | | | |
% 51.51/12.87 | | | | | | | | | REF_CLOSE: (543), (819), (2468) are inconsistent by sub-proof
% 51.51/12.87 | | | | | | | | | #20.
% 51.51/12.87 | | | | | | | | |
% 51.51/12.87 | | | | | | | | End of split
% 51.51/12.87 | | | | | | | |
% 51.51/12.87 | | | | | | | End of split
% 51.51/12.87 | | | | | | |
% 51.51/12.87 | | | | | | End of split
% 51.51/12.87 | | | | | |
% 51.51/12.87 | | | | | Case 2:
% 51.51/12.87 | | | | | |
% 51.51/12.87 | | | | | | (2469) ~ (all_22_2 = e21)
% 51.51/12.87 | | | | | | (2470) all_22_2 = e23 | all_22_2 = e22 | all_22_2 = e20
% 51.51/12.87 | | | | | |
% 51.51/12.87 | | | | | | REDUCE: (584), (2469) imply:
% 51.51/12.87 | | | | | | (2471) ~ (all_14_8 = e21)
% 51.51/12.87 | | | | | |
% 51.51/12.87 | | | | | | BETA: splitting (2470) gives:
% 51.51/12.87 | | | | | |
% 51.51/12.87 | | | | | | Case 1:
% 51.51/12.87 | | | | | | |
% 51.51/12.87 | | | | | | | (2472) all_22_2 = e22
% 51.51/12.87 | | | | | | |
% 51.51/12.87 | | | | | | | REF_CLOSE: (584), (815), (2472) are inconsistent by sub-proof #80.
% 51.51/12.87 | | | | | | |
% 51.51/12.87 | | | | | | Case 2:
% 51.51/12.87 | | | | | | |
% 51.51/12.87 | | | | | | | (2473) all_22_2 = e23 | all_22_2 = e20
% 51.51/12.87 | | | | | | |
% 51.51/12.87 | | | | | | | BETA: splitting (2473) gives:
% 51.51/12.87 | | | | | | |
% 51.51/12.87 | | | | | | | Case 1:
% 51.51/12.87 | | | | | | | |
% 51.51/12.87 | | | | | | | | (2474) all_22_2 = e23
% 51.51/12.88 | | | | | | | |
% 51.51/12.88 | | | | | | | | COMBINE_EQS: (584), (2474) imply:
% 51.51/12.88 | | | | | | | | (2475) all_14_8 = e23
% 51.51/12.88 | | | | | | | |
% 51.51/12.88 | | | | | | | | SIMP: (2475) implies:
% 51.51/12.88 | | | | | | | | (2476) all_14_8 = e23
% 51.51/12.88 | | | | | | | |
% 51.51/12.88 | | | | | | | | COMBINE_EQS: (776), (2476) imply:
% 51.51/12.88 | | | | | | | | (2477) all_24_4 = e23
% 51.51/12.88 | | | | | | | |
% 51.51/12.88 | | | | | | | | REDUCE: (152), (2476) imply:
% 51.51/12.88 | | | | | | | | (2478) ~ (all_14_4 = e23)
% 51.51/12.88 | | | | | | | |
% 51.51/12.88 | | | | | | | | REDUCE: (139), (2476) imply:
% 51.51/12.88 | | | | | | | | (2479) ~ (all_14_11 = e23)
% 51.51/12.88 | | | | | | | |
% 51.51/12.88 | | | | | | | | SIMP: (2479) implies:
% 51.51/12.88 | | | | | | | | (2480) ~ (all_14_11 = e23)
% 51.51/12.88 | | | | | | | |
% 51.51/12.88 | | | | | | | | REDUCE: (795), (2476) imply:
% 51.51/12.88 | | | | | | | | (2481) ~ (all_8_1 = e23)
% 51.51/12.88 | | | | | | | |
% 51.51/12.88 | | | | | | | | SIMP: (2481) implies:
% 51.59/12.88 | | | | | | | | (2482) ~ (all_8_1 = e23)
% 51.59/12.88 | | | | | | | |
% 51.59/12.88 | | | | | | | | REDUCE: (921), (2476) imply:
% 51.59/12.88 | | | | | | | | (2483) op2(e23, e23) = all_18_16
% 51.59/12.88 | | | | | | | |
% 51.59/12.88 | | | | | | | | BETA: splitting (301) gives:
% 51.59/12.88 | | | | | | | |
% 51.59/12.88 | | | | | | | | Case 1:
% 51.59/12.88 | | | | | | | | |
% 51.59/12.88 | | | | | | | | | (2484) all_22_14 = e21
% 51.59/12.88 | | | | | | | | |
% 51.59/12.88 | | | | | | | | | COMBINE_EQS: (543), (2484) imply:
% 51.59/12.88 | | | | | | | | | (2485) all_14_11 = e21
% 51.59/12.88 | | | | | | | | |
% 51.59/12.88 | | | | | | | | | SIMP: (2485) implies:
% 51.59/12.88 | | | | | | | | | (2486) all_14_11 = e21
% 51.59/12.88 | | | | | | | | |
% 51.59/12.88 | | | | | | | | | COMBINE_EQS: (773), (2486) imply:
% 51.59/12.88 | | | | | | | | | (2487) all_24_14 = e21
% 51.59/12.88 | | | | | | | | |
% 51.59/12.88 | | | | | | | | | REDUCE: (824), (2486) imply:
% 51.59/12.88 | | | | | | | | | (2488) ~ (all_10_1 = e21)
% 51.59/12.88 | | | | | | | | |
% 51.59/12.88 | | | | | | | | | SIMP: (2488) implies:
% 51.59/12.88 | | | | | | | | | (2489) ~ (all_10_1 = e21)
% 51.59/12.88 | | | | | | | | |
% 51.59/12.88 | | | | | | | | | REDUCE: (2480), (2486) imply:
% 51.59/12.88 | | | | | | | | | (2490) ~ (e23 = e21)
% 51.59/12.88 | | | | | | | | |
% 51.59/12.88 | | | | | | | | | REDUCE: (823), (2486) imply:
% 51.59/12.88 | | | | | | | | | (2491) ~ (e22 = e21)
% 51.59/12.88 | | | | | | | | |
% 51.59/12.88 | | | | | | | | | REDUCE: (924), (2486) imply:
% 51.59/12.88 | | | | | | | | | (2492) op2(e21, e21) = all_18_22
% 51.59/12.88 | | | | | | | | |
% 51.59/12.88 | | | | | | | | | REDUCE: (175), (2486) imply:
% 51.59/12.88 | | | | | | | | | (2493) op2(e20, e21) = e21
% 51.59/12.88 | | | | | | | | |
% 51.59/12.88 | | | | | | | | | BETA: splitting (300) gives:
% 51.59/12.88 | | | | | | | | |
% 51.59/12.88 | | | | | | | | | Case 1:
% 51.59/12.88 | | | | | | | | | |
% 51.59/12.88 | | | | | | | | | | (2494) all_22_15 = e21
% 51.59/12.88 | | | | | | | | | |
% 51.59/12.88 | | | | | | | | | | REF_CLOSE: (770), (2489), (2494) are inconsistent by
% 51.59/12.88 | | | | | | | | | | sub-proof #19.
% 51.59/12.88 | | | | | | | | | |
% 51.59/12.88 | | | | | | | | | Case 2:
% 51.59/12.88 | | | | | | | | | |
% 51.59/12.88 | | | | | | | | | | (2495) all_22_15 = e23 | all_22_15 = e22 | all_22_15 =
% 51.59/12.88 | | | | | | | | | | e20
% 51.59/12.88 | | | | | | | | | |
% 51.59/12.88 | | | | | | | | | | BETA: splitting (333) gives:
% 51.59/12.88 | | | | | | | | | |
% 51.59/12.88 | | | | | | | | | | Case 1:
% 51.59/12.88 | | | | | | | | | | |
% 51.59/12.88 | | | | | | | | | | | (2496) all_24_9 = e21
% 51.59/12.88 | | | | | | | | | | |
% 51.59/12.88 | | | | | | | | | | | COMBINE_EQS: (2321), (2496) imply:
% 51.59/12.88 | | | | | | | | | | | (2497) e21 = e20
% 51.59/12.88 | | | | | | | | | | |
% 51.59/12.88 | | | | | | | | | | | REDUCE: (11), (2497) imply:
% 51.59/12.88 | | | | | | | | | | | (2498) $false
% 51.59/12.88 | | | | | | | | | | |
% 51.59/12.88 | | | | | | | | | | | CLOSE: (2498) is inconsistent.
% 51.59/12.88 | | | | | | | | | | |
% 51.59/12.88 | | | | | | | | | | Case 2:
% 51.59/12.89 | | | | | | | | | | |
% 51.59/12.89 | | | | | | | | | | | (2499) all_24_10 = e21 | all_24_11 = e21 | all_24_15 =
% 51.59/12.89 | | | | | | | | | | | e21
% 51.59/12.89 | | | | | | | | | | |
% 51.59/12.89 | | | | | | | | | | | BETA: splitting (2499) gives:
% 51.59/12.89 | | | | | | | | | | |
% 51.59/12.89 | | | | | | | | | | | Case 1:
% 51.59/12.89 | | | | | | | | | | | |
% 51.59/12.89 | | | | | | | | | | | | (2500) all_24_10 = e21
% 51.59/12.89 | | | | | | | | | | | |
% 51.59/12.89 | | | | | | | | | | | | COMBINE_EQS: (569), (2500) imply:
% 51.59/12.89 | | | | | | | | | | | | (2501) all_14_13 = e21
% 51.59/12.89 | | | | | | | | | | | |
% 51.59/12.89 | | | | | | | | | | | | SIMP: (2501) implies:
% 51.59/12.89 | | | | | | | | | | | | (2502) all_14_13 = e21
% 51.59/12.89 | | | | | | | | | | | |
% 51.59/12.89 | | | | | | | | | | | | REDUCE: (926), (2502) imply:
% 51.59/12.89 | | | | | | | | | | | | (2503) op2(e21, e21) = all_18_26
% 51.59/12.89 | | | | | | | | | | | |
% 51.59/12.89 | | | | | | | | | | | | REDUCE: (182), (2502) imply:
% 51.59/12.89 | | | | | | | | | | | | (2504) op2(e22, e20) = e21
% 51.59/12.89 | | | | | | | | | | | |
% 51.59/12.89 | | | | | | | | | | | | BETA: splitting (2495) gives:
% 51.59/12.89 | | | | | | | | | | | |
% 51.59/12.89 | | | | | | | | | | | | Case 1:
% 51.59/12.89 | | | | | | | | | | | | |
% 51.59/12.89 | | | | | | | | | | | | | (2505) all_22_15 = e22
% 51.59/12.89 | | | | | | | | | | | | |
% 51.59/12.89 | | | | | | | | | | | | | COMBINE_EQS: (770), (2505) imply:
% 51.59/12.89 | | | | | | | | | | | | | (2506) all_10_1 = e22
% 51.59/12.89 | | | | | | | | | | | | |
% 51.59/12.89 | | | | | | | | | | | | | SIMP: (2506) implies:
% 51.59/12.89 | | | | | | | | | | | | | (2507) all_10_1 = e22
% 51.59/12.89 | | | | | | | | | | | | |
% 51.59/12.89 | | | | | | | | | | | | | COMBINE_EQS: (772), (2507) imply:
% 51.59/12.89 | | | | | | | | | | | | | (2508) all_24_15 = e22
% 51.59/12.89 | | | | | | | | | | | | |
% 51.59/12.89 | | | | | | | | | | | | | REDUCE: (802), (2507) imply:
% 51.59/12.89 | | | | | | | | | | | | | (2509) ~ (all_14_3 = e22)
% 51.59/12.89 | | | | | | | | | | | | |
% 51.59/12.89 | | | | | | | | | | | | | REDUCE: (813), (2507) imply:
% 51.59/12.89 | | | | | | | | | | | | | (2510) ~ (all_14_7 = e22)
% 51.59/12.89 | | | | | | | | | | | | |
% 51.59/12.89 | | | | | | | | | | | | | REDUCE: (830), (2507) imply:
% 51.59/12.89 | | | | | | | | | | | | | (2511) ~ (e23 = e22)
% 51.59/12.89 | | | | | | | | | | | | |
% 51.59/12.89 | | | | | | | | | | | | | SIMP: (2511) implies:
% 51.59/12.89 | | | | | | | | | | | | | (2512) ~ (e23 = e22)
% 51.59/12.89 | | | | | | | | | | | | |
% 51.59/12.89 | | | | | | | | | | | | | REDUCE: (59), (2507) imply:
% 51.59/12.89 | | | | | | | | | | | | | (2513) op2(e22, e20) = all_10_2
% 51.59/12.89 | | | | | | | | | | | | |
% 51.59/12.89 | | | | | | | | | | | | | REDUCE: (57), (2507) imply:
% 51.59/12.89 | | | | | | | | | | | | | (2514) op2(e20, e20) = e22
% 51.59/12.89 | | | | | | | | | | | | |
% 51.59/12.89 | | | | | | | | | | | | | GROUND_INST: instantiating (33) with e22, all_18_22, e21, e21,
% 51.59/12.89 | | | | | | | | | | | | | simplifying with (21), (2492) gives:
% 51.59/12.89 | | | | | | | | | | | | | (2515) all_18_22 = e22
% 51.59/12.89 | | | | | | | | | | | | |
% 51.59/12.89 | | | | | | | | | | | | | GROUND_INST: instantiating (33) with all_18_26, all_18_22, e21,
% 51.59/12.89 | | | | | | | | | | | | | e21, simplifying with (2492), (2503) gives:
% 51.59/12.89 | | | | | | | | | | | | | (2516) all_18_22 = all_18_26
% 51.59/12.89 | | | | | | | | | | | | |
% 51.59/12.89 | | | | | | | | | | | | | GROUND_INST: instantiating (33) with e21, all_10_2, e20, e22,
% 51.59/12.89 | | | | | | | | | | | | | simplifying with (2504), (2513) gives:
% 51.59/12.89 | | | | | | | | | | | | | (2517) all_10_2 = e21
% 51.59/12.89 | | | | | | | | | | | | |
% 51.59/12.89 | | | | | | | | | | | | | GROUND_INST: instantiating (33) with all_8_1, all_18_16, e23,
% 51.59/12.89 | | | | | | | | | | | | | e23, simplifying with (49), (2483) gives:
% 51.59/12.89 | | | | | | | | | | | | | (2518) all_18_16 = all_8_1
% 51.59/12.89 | | | | | | | | | | | | |
% 51.59/12.89 | | | | | | | | | | | | | COMBINE_EQS: (2515), (2516) imply:
% 51.59/12.89 | | | | | | | | | | | | | (2519) all_18_26 = e22
% 51.59/12.89 | | | | | | | | | | | | |
% 51.59/12.89 | | | | | | | | | | | | | SIMP: (2519) implies:
% 51.59/12.89 | | | | | | | | | | | | | (2520) all_18_26 = e22
% 51.59/12.89 | | | | | | | | | | | | |
% 51.59/12.89 | | | | | | | | | | | | | REDUCE: (904), (2517) imply:
% 51.59/12.89 | | | | | | | | | | | | | (2521) op2(all_10_0, e21) = all_28_117
% 51.59/12.89 | | | | | | | | | | | | |
% 51.59/12.89 | | | | | | | | | | | | | REDUCE: (910), (2517) imply:
% 51.59/12.89 | | | | | | | | | | | | | (2522) op2(e21, all_10_0) = all_28_144
% 51.59/12.89 | | | | | | | | | | | | |
% 51.59/12.89 | | | | | | | | | | | | | REDUCE: (912), (2517) imply:
% 51.59/12.89 | | | | | | | | | | | | | (2523) op2(e21, e21) = all_28_156
% 51.59/12.89 | | | | | | | | | | | | |
% 51.59/12.89 | | | | | | | | | | | | | REDUCE: (58), (2517) imply:
% 51.59/12.89 | | | | | | | | | | | | | (2524) op2(e20, e21) = all_10_0
% 51.59/12.89 | | | | | | | | | | | | |
% 51.59/12.89 | | | | | | | | | | | | | GROUND_INST: instantiating (33) with e21, all_10_0, e21, e20,
% 51.59/12.89 | | | | | | | | | | | | | simplifying with (2493), (2524) gives:
% 51.59/12.89 | | | | | | | | | | | | | (2525) all_10_0 = e21
% 51.59/12.89 | | | | | | | | | | | | |
% 51.59/12.89 | | | | | | | | | | | | | GROUND_INST: instantiating (33) with e22, all_28_156, e21, e21,
% 51.59/12.89 | | | | | | | | | | | | | simplifying with (21), (2523) gives:
% 51.59/12.89 | | | | | | | | | | | | | (2526) all_28_156 = e22
% 51.59/12.89 | | | | | | | | | | | | |
% 51.59/12.89 | | | | | | | | | | | | | REDUCE: (903), (2525) imply:
% 51.59/12.89 | | | | | | | | | | | | | (2527) op2(e21, e21) = all_28_108
% 51.59/12.89 | | | | | | | | | | | | |
% 51.59/12.89 | | | | | | | | | | | | | REDUCE: (2521), (2525) imply:
% 51.59/12.89 | | | | | | | | | | | | | (2528) op2(e21, e21) = all_28_117
% 51.59/12.89 | | | | | | | | | | | | |
% 51.59/12.89 | | | | | | | | | | | | | REDUCE: (2522), (2525) imply:
% 51.59/12.89 | | | | | | | | | | | | | (2529) op2(e21, e21) = all_28_144
% 51.59/12.89 | | | | | | | | | | | | |
% 51.59/12.89 | | | | | | | | | | | | | GROUND_INST: instantiating (33) with e22, all_28_117, e21, e21,
% 51.59/12.89 | | | | | | | | | | | | | simplifying with (21), (2528) gives:
% 51.59/12.89 | | | | | | | | | | | | | (2530) all_28_117 = e22
% 51.59/12.89 | | | | | | | | | | | | |
% 51.59/12.89 | | | | | | | | | | | | | GROUND_INST: instantiating (33) with all_28_117, all_28_108,
% 51.59/12.89 | | | | | | | | | | | | | e21, e21, simplifying with (2527), (2528) gives:
% 51.59/12.89 | | | | | | | | | | | | | (2531) all_28_108 = all_28_117
% 51.59/12.89 | | | | | | | | | | | | |
% 51.59/12.89 | | | | | | | | | | | | | GROUND_INST: instantiating (33) with all_28_144, all_28_108,
% 51.59/12.89 | | | | | | | | | | | | | e21, e21, simplifying with (2527), (2529) gives:
% 51.59/12.89 | | | | | | | | | | | | | (2532) all_28_108 = all_28_144
% 51.59/12.89 | | | | | | | | | | | | |
% 51.59/12.89 | | | | | | | | | | | | | COMBINE_EQS: (2531), (2532) imply:
% 51.59/12.89 | | | | | | | | | | | | | (2533) all_28_117 = all_28_144
% 51.59/12.89 | | | | | | | | | | | | |
% 51.59/12.89 | | | | | | | | | | | | | SIMP: (2533) implies:
% 51.59/12.89 | | | | | | | | | | | | | (2534) all_28_117 = all_28_144
% 51.59/12.89 | | | | | | | | | | | | |
% 51.59/12.89 | | | | | | | | | | | | | COMBINE_EQS: (2530), (2534) imply:
% 51.59/12.89 | | | | | | | | | | | | | (2535) all_28_144 = e22
% 51.59/12.89 | | | | | | | | | | | | |
% 51.59/12.89 | | | | | | | | | | | | | BETA: splitting (304) gives:
% 51.59/12.89 | | | | | | | | | | | | |
% 51.59/12.89 | | | | | | | | | | | | | Case 1:
% 51.59/12.89 | | | | | | | | | | | | | |
% 51.59/12.89 | | | | | | | | | | | | | | (2536) all_22_9 = e21
% 51.59/12.89 | | | | | | | | | | | | | |
% 51.59/12.89 | | | | | | | | | | | | | | COMBINE_EQS: (689), (2536) imply:
% 51.59/12.89 | | | | | | | | | | | | | | (2537) all_14_6 = e21
% 51.59/12.89 | | | | | | | | | | | | | |
% 51.59/12.89 | | | | | | | | | | | | | | COMBINE_EQS: (563), (2537) imply:
% 51.59/12.89 | | | | | | | | | | | | | | (2538) all_24_7 = e21
% 51.59/12.89 | | | | | | | | | | | | | |
% 51.59/12.89 | | | | | | | | | | | | | | REDUCE: (161), (2537) imply:
% 51.59/12.89 | | | | | | | | | | | | | | (2539) ~ (all_14_2 = e21)
% 51.59/12.89 | | | | | | | | | | | | | |
% 51.59/12.89 | | | | | | | | | | | | | | REDUCE: (154), (2537) imply:
% 51.59/12.89 | | | | | | | | | | | | | | (2540) ~ (all_14_4 = e21)
% 51.59/12.89 | | | | | | | | | | | | | |
% 51.59/12.89 | | | | | | | | | | | | | | REDUCE: (146), (2537) imply:
% 51.59/12.89 | | | | | | | | | | | | | | (2541) ~ (all_14_7 = e21)
% 51.59/12.89 | | | | | | | | | | | | | |
% 51.59/12.89 | | | | | | | | | | | | | | SIMP: (2541) implies:
% 51.59/12.89 | | | | | | | | | | | | | | (2542) ~ (all_14_7 = e21)
% 51.59/12.89 | | | | | | | | | | | | | |
% 51.59/12.89 | | | | | | | | | | | | | | REDUCE: (805), (2537) imply:
% 51.59/12.89 | | | | | | | | | | | | | | (2543) ~ (all_6_1 = e21)
% 51.59/12.89 | | | | | | | | | | | | | |
% 51.59/12.89 | | | | | | | | | | | | | | SIMP: (2543) implies:
% 51.59/12.89 | | | | | | | | | | | | | | (2544) ~ (all_6_1 = e21)
% 51.59/12.89 | | | | | | | | | | | | | |
% 51.59/12.89 | | | | | | | | | | | | | | REDUCE: (919), (2537) imply:
% 51.59/12.89 | | | | | | | | | | | | | | (2545) op2(e21, e21) = all_18_12
% 51.59/12.89 | | | | | | | | | | | | | |
% 51.59/12.89 | | | | | | | | | | | | | | BETA: splitting (311) gives:
% 51.59/12.89 | | | | | | | | | | | | | |
% 51.59/12.89 | | | | | | | | | | | | | | Case 1:
% 51.59/12.89 | | | | | | | | | | | | | | |
% 51.59/12.89 | | | | | | | | | | | | | | | (2546) all_22_1 = e21
% 51.59/12.89 | | | | | | | | | | | | | | |
% 51.59/12.89 | | | | | | | | | | | | | | | COMBINE_EQS: (676), (2546) imply:
% 51.59/12.89 | | | | | | | | | | | | | | | (2547) all_14_4 = e21
% 51.59/12.89 | | | | | | | | | | | | | | |
% 51.59/12.89 | | | | | | | | | | | | | | | REDUCE: (2540), (2547) imply:
% 51.59/12.89 | | | | | | | | | | | | | | | (2548) $false
% 51.59/12.89 | | | | | | | | | | | | | | |
% 51.59/12.89 | | | | | | | | | | | | | | | CLOSE: (2548) is inconsistent.
% 51.59/12.89 | | | | | | | | | | | | | | |
% 51.59/12.89 | | | | | | | | | | | | | | Case 2:
% 51.59/12.89 | | | | | | | | | | | | | | |
% 51.59/12.89 | | | | | | | | | | | | | | | (2549) ~ (all_22_1 = e21)
% 51.59/12.90 | | | | | | | | | | | | | | | (2550) all_22_1 = e23 | all_22_1 = e22 | all_22_1 = e20
% 51.59/12.90 | | | | | | | | | | | | | | |
% 51.59/12.90 | | | | | | | | | | | | | | | BETA: splitting (340) gives:
% 51.59/12.90 | | | | | | | | | | | | | | |
% 51.59/12.90 | | | | | | | | | | | | | | | Case 1:
% 51.59/12.90 | | | | | | | | | | | | | | | |
% 51.59/12.90 | | | | | | | | | | | | | | | | (2551) all_24_1 = e20
% 51.59/12.90 | | | | | | | | | | | | | | | |
% 51.59/12.90 | | | | | | | | | | | | | | | | REF_CLOSE: (589), (2324), (2551) are inconsistent by
% 51.59/12.90 | | | | | | | | | | | | | | | | sub-proof #18.
% 51.59/12.90 | | | | | | | | | | | | | | | |
% 51.59/12.90 | | | | | | | | | | | | | | | Case 2:
% 51.59/12.90 | | | | | | | | | | | | | | | |
% 51.59/12.90 | | | | | | | | | | | | | | | | (2552) all_24_3 = e20 | all_24_7 = e20 | all_24_13 = e20
% 51.59/12.90 | | | | | | | | | | | | | | | |
% 51.59/12.90 | | | | | | | | | | | | | | | | BETA: splitting (305) gives:
% 51.59/12.90 | | | | | | | | | | | | | | | |
% 51.59/12.90 | | | | | | | | | | | | | | | | Case 1:
% 51.59/12.90 | | | | | | | | | | | | | | | | |
% 51.59/12.90 | | | | | | | | | | | | | | | | | (2553) all_22_8 = e21
% 51.59/12.90 | | | | | | | | | | | | | | | | |
% 51.59/12.90 | | | | | | | | | | | | | | | | | REF_CLOSE: (687), (2539), (2553) are inconsistent by
% 51.59/12.90 | | | | | | | | | | | | | | | | | sub-proof #51.
% 51.59/12.90 | | | | | | | | | | | | | | | | |
% 51.59/12.90 | | | | | | | | | | | | | | | | Case 2:
% 51.59/12.90 | | | | | | | | | | | | | | | | |
% 51.59/12.90 | | | | | | | | | | | | | | | | | (2554) ~ (all_22_8 = e21)
% 51.59/12.90 | | | | | | | | | | | | | | | | | (2555) all_22_8 = e23 | all_22_8 = e22 | all_22_8 = e20
% 51.59/12.90 | | | | | | | | | | | | | | | | |
% 51.59/12.90 | | | | | | | | | | | | | | | | | BETA: splitting (2555) gives:
% 51.59/12.90 | | | | | | | | | | | | | | | | |
% 51.59/12.90 | | | | | | | | | | | | | | | | | Case 1:
% 51.59/12.90 | | | | | | | | | | | | | | | | | |
% 51.59/12.90 | | | | | | | | | | | | | | | | | | (2556) all_22_8 = e22
% 51.59/12.90 | | | | | | | | | | | | | | | | | |
% 51.59/12.90 | | | | | | | | | | | | | | | | | | REF_CLOSE: (687), (800), (2556) are inconsistent by sub-proof
% 51.59/12.90 | | | | | | | | | | | | | | | | | | #17.
% 51.59/12.90 | | | | | | | | | | | | | | | | | |
% 51.59/12.90 | | | | | | | | | | | | | | | | | Case 2:
% 51.59/12.90 | | | | | | | | | | | | | | | | | |
% 51.59/12.90 | | | | | | | | | | | | | | | | | | (2557) ~ (all_22_8 = e22)
% 51.59/12.90 | | | | | | | | | | | | | | | | | | (2558) all_22_8 = e23 | all_22_8 = e20
% 51.59/12.90 | | | | | | | | | | | | | | | | | |
% 51.59/12.90 | | | | | | | | | | | | | | | | | | BETA: splitting (2558) gives:
% 51.59/12.90 | | | | | | | | | | | | | | | | | |
% 51.59/12.90 | | | | | | | | | | | | | | | | | | Case 1:
% 51.59/12.90 | | | | | | | | | | | | | | | | | | |
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | (2559) all_22_8 = e23
% 51.59/12.90 | | | | | | | | | | | | | | | | | | |
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (687), (801), (2559) are inconsistent by sub-proof
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | #16.
% 51.59/12.90 | | | | | | | | | | | | | | | | | | |
% 51.59/12.90 | | | | | | | | | | | | | | | | | | Case 2:
% 51.59/12.90 | | | | | | | | | | | | | | | | | | |
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | (2560) all_22_8 = e20
% 51.59/12.90 | | | | | | | | | | | | | | | | | | |
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (687), (2560) imply:
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | (2561) all_14_2 = e20
% 51.59/12.90 | | | | | | | | | | | | | | | | | | |
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | SIMP: (2561) implies:
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | (2562) all_14_2 = e20
% 51.59/12.90 | | | | | | | | | | | | | | | | | | |
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (566), (2562) imply:
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | (2563) all_24_6 = e20
% 51.59/12.90 | | | | | | | | | | | | | | | | | | |
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | REDUCE: (801), (2562) imply:
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | (2564) ~ (e23 = e20)
% 51.59/12.90 | | | | | | | | | | | | | | | | | | |
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | REDUCE: (2539), (2562) imply:
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | (2565) ~ (e21 = e20)
% 51.59/12.90 | | | | | | | | | | | | | | | | | | |
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | REDUCE: (2334), (2562) imply:
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | (2566) op2(e20, e20) = e21
% 51.59/12.90 | | | | | | | | | | | | | | | | | | |
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | BETA: splitting (2552) gives:
% 51.59/12.90 | | | | | | | | | | | | | | | | | | |
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | Case 1:
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | |
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | | (2567) all_24_3 = e20
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | |
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (577), (808), (2567) are inconsistent by sub-proof
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | | #15.
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | |
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | Case 2:
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | |
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | | (2568) all_24_7 = e20 | all_24_13 = e20
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | |
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | | BETA: splitting (2568) gives:
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | |
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | | | (2569) all_24_7 = e20
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (2538), (2569) are inconsistent by sub-proof
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | | | #14.
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | | | (2570) all_24_13 = e20
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (774), (2570) imply:
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | | | (2571) all_14_7 = e20
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | | | REDUCE: (807), (2571) imply:
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | | | (2572) ~ (all_6_1 = e20)
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | | | REDUCE: (920), (2571) imply:
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | | | (2573) op2(e20, e20) = all_18_14
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (342) gives:
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | | | | (2574) all_24_1 = e23
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (589), (2478), (2574) are inconsistent by
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | | | | sub-proof #13.
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | | | | (2575) ~ (all_24_1 = e23)
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | | | | (2576) all_24_3 = e23 | all_24_7 = e23 | all_24_13 = e23
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (344) gives:
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | | | | | (2577) all_24_0 = e21
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (593), (2577) imply:
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | | | | | (2578) all_8_1 = e21
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2578) implies:
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | | | | | (2579) all_8_1 = e21
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2336), (2579) imply:
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | | | | | (2580) op2(e21, e21) = e23
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (49), (2579) imply:
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | | | | | (2581) op2(e23, e23) = e21
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (346) gives:
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | | | | | | (2582) all_24_0 = e22
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2577), (2582) imply:
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | | | | | | (2583) e22 = e21
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12), (2583) imply:
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | | | | | | (2584) $false
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2584) is inconsistent.
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | | | | | | (2585) all_24_2 = e22 | all_24_6 = e22 | all_24_12 = e22
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2585) gives:
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | | | | | | | (2586) all_24_2 = e22
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (580), (2586) imply:
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | | | | | | | (2587) all_14_1 = e22
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2587) implies:
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | | | | | | | (2588) all_14_1 = e22
% 51.59/12.90 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (798), (2588) imply:
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | (2589) ~ (all_6_1 = e22)
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2589) implies:
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | (2590) ~ (all_6_1 = e22)
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (307) gives:
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | (2591) all_22_5 = e21
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (14), (339), (569), (573), (577), (681),
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | (827), (2512), (2586), (2591) are inconsistent by
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #12.
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | (2592) ~ (all_22_5 = e21)
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | (2593) all_22_5 = e23 | all_22_5 = e22 | all_22_5 = e20
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (347) gives:
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2594) all_24_0 = e23
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2577), (2594) imply:
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2595) e23 = e21
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (14), (2595) imply:
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2596) $false
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2596) is inconsistent.
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2597) all_24_2 = e23 | all_24_6 = e23 | all_24_12 = e23
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (332) gives:
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2598) all_24_12 = e23
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (551), (2598) imply:
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2599) all_14_3 = e23
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2599) implies:
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2600) all_14_3 = e23
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2335), (2600) imply:
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2601) op2(e23, e23) = e20
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2576) gives:
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2602) all_24_3 = e23
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (577), (2602) imply:
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2603) all_6_1 = e23
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2603) implies:
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2604) all_6_1 = e23
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (918), (2604) imply:
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2605) op2(e23, e23) = all_18_10
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (33) with e22, all_18_14, e20, e20,
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2514), (2573) gives:
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2606) all_18_14 = e22
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (33) with e21, all_18_14, e20, e20,
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2566), (2573) gives:
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2607) all_18_14 = e21
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (33) with e22, all_18_12, e21, e21,
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (21), (2545) gives:
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2608) all_18_12 = e22
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (33) with e23, all_18_12, e21, e21,
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2545), (2580) gives:
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2609) all_18_12 = e23
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (33) with e21, all_18_10, e23, e23,
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2581), (2605) gives:
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2610) all_18_10 = e21
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (33) with e20, all_18_10, e23, e23,
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2601), (2605) gives:
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2611) all_18_10 = e20
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2610), (2611) imply:
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2612) e21 = e20
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2608), (2609) imply:
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2613) e23 = e22
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2613) implies:
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2614) e23 = e22
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2606), (2607) imply:
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2615) e22 = e21
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2612), (2615) imply:
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2616) e22 = e20
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2614), (2616) imply:
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2617) e23 = e20
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2598), (2617) imply:
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2618) all_24_12 = e20
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (566), (800), (801), (817), (2512), (2585),
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2597), (2618) are inconsistent by sub-proof #36.
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2619) ~ (all_24_3 = e23)
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (577), (681), (808), (2590), (2593), (2619) are
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #11.
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.59/12.91 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2620) all_24_13 = e23 | all_24_14 = e23 | all_24_15 =
% 51.59/12.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | e23
% 51.59/12.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (339), (569), (573), (577), (681), (808),
% 51.59/12.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (827), (2487), (2508), (2544), (2570), (2576),
% 51.59/12.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2586), (2590), (2593), (2620) are inconsistent by
% 51.59/12.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #10.
% 51.59/12.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.92 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.59/12.92 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.92 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.59/12.92 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.92 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.59/12.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.92 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.59/12.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.92 | | | | | | | | | | | | | | | | | | | | | | | | | (2621) all_24_6 = e22 | all_24_12 = e22
% 51.59/12.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.92 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (551), (817), (2509), (2563), (2621) are
% 51.59/12.92 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #9.
% 51.59/12.92 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.92 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.59/12.92 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.92 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.59/12.92 | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.92 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.59/12.92 | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.92 | | | | | | | | | | | | | | | | | | | | | | | (2622) ~ (all_24_0 = e21)
% 51.59/12.92 | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.92 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (13), (339), (345), (346), (551), (569),
% 51.59/12.92 | | | | | | | | | | | | | | | | | | | | | | | (573), (577), (589), (593), (676), (793), (808),
% 51.59/12.92 | | | | | | | | | | | | | | | | | | | | | | | (827), (2321), (2324), (2477), (2478), (2509),
% 51.59/12.92 | | | | | | | | | | | | | | | | | | | | | | | (2540), (2544), (2550), (2563), (2622) are
% 51.59/12.92 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #7.
% 51.59/12.92 | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.92 | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.59/12.92 | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.92 | | | | | | | | | | | | | | | | | | | | | End of split
% 51.59/12.92 | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.92 | | | | | | | | | | | | | | | | | | | | End of split
% 51.59/12.92 | | | | | | | | | | | | | | | | | | | |
% 51.59/12.92 | | | | | | | | | | | | | | | | | | | End of split
% 51.59/12.92 | | | | | | | | | | | | | | | | | | |
% 51.59/12.92 | | | | | | | | | | | | | | | | | | End of split
% 51.59/12.92 | | | | | | | | | | | | | | | | | |
% 51.59/12.92 | | | | | | | | | | | | | | | | | End of split
% 51.59/12.92 | | | | | | | | | | | | | | | | |
% 51.59/12.92 | | | | | | | | | | | | | | | | End of split
% 51.59/12.92 | | | | | | | | | | | | | | | |
% 51.59/12.92 | | | | | | | | | | | | | | | End of split
% 51.59/12.92 | | | | | | | | | | | | | | |
% 51.59/12.92 | | | | | | | | | | | | | | End of split
% 51.59/12.92 | | | | | | | | | | | | | |
% 51.59/12.92 | | | | | | | | | | | | | Case 2:
% 51.59/12.92 | | | | | | | | | | | | | |
% 51.59/12.92 | | | | | | | | | | | | | | (2623) all_22_9 = e23 | all_22_9 = e22 | all_22_9 = e20
% 51.59/12.92 | | | | | | | | | | | | | |
% 51.59/12.92 | | | | | | | | | | | | | | REF_CLOSE: (21), (33), (161), (305), (687), (689), (800),
% 51.59/12.92 | | | | | | | | | | | | | | (801), (811), (812), (2334), (2623) are
% 51.59/12.92 | | | | | | | | | | | | | | inconsistent by sub-proof #83.
% 51.59/12.92 | | | | | | | | | | | | | |
% 51.59/12.92 | | | | | | | | | | | | | End of split
% 51.59/12.92 | | | | | | | | | | | | |
% 51.59/12.92 | | | | | | | | | | | | Case 2:
% 51.59/12.92 | | | | | | | | | | | | |
% 51.59/12.92 | | | | | | | | | | | | | (2624) all_22_15 = e23 | all_22_15 = e20
% 51.59/12.92 | | | | | | | | | | | | |
% 51.59/12.92 | | | | | | | | | | | | | REF_CLOSE: (770), (830), (2326), (2624) are inconsistent by
% 51.59/12.92 | | | | | | | | | | | | | sub-proof #6.
% 51.59/12.92 | | | | | | | | | | | | |
% 51.59/12.92 | | | | | | | | | | | | End of split
% 51.59/12.92 | | | | | | | | | | | |
% 51.59/12.92 | | | | | | | | | | | Case 2:
% 51.59/12.92 | | | | | | | | | | | |
% 51.59/12.92 | | | | | | | | | | | | (2625) ~ (all_24_10 = e21)
% 51.59/12.92 | | | | | | | | | | | |
% 51.59/12.92 | | | | | | | | | | | | REF_CLOSE: (12), (14), (555), (569), (770), (772), (830),
% 51.59/12.92 | | | | | | | | | | | | (2326), (2495), (2499), (2625) are inconsistent by
% 51.59/12.92 | | | | | | | | | | | | sub-proof #4.
% 51.59/12.92 | | | | | | | | | | | |
% 51.59/12.92 | | | | | | | | | | | End of split
% 51.59/12.92 | | | | | | | | | | |
% 51.59/12.92 | | | | | | | | | | End of split
% 51.59/12.92 | | | | | | | | | |
% 51.59/12.92 | | | | | | | | | End of split
% 51.59/12.92 | | | | | | | | |
% 51.59/12.92 | | | | | | | | Case 2:
% 51.59/12.92 | | | | | | | | |
% 51.59/12.92 | | | | | | | | | (2626) ~ (all_22_14 = e21)
% 51.59/12.92 | | | | | | | | |
% 51.59/12.92 | | | | | | | | | REDUCE: (543), (2626) imply:
% 51.59/12.92 | | | | | | | | | (2627) ~ (all_14_11 = e21)
% 51.59/12.92 | | | | | | | | |
% 51.59/12.92 | | | | | | | | | REF_CLOSE: (11), (12), (14), (336), (573), (773), (775),
% 51.59/12.92 | | | | | | | | | (2477), (2627) are inconsistent by sub-proof #74.
% 51.59/12.92 | | | | | | | | |
% 51.59/12.92 | | | | | | | | End of split
% 51.59/12.92 | | | | | | | |
% 51.59/12.92 | | | | | | | Case 2:
% 51.59/12.92 | | | | | | | |
% 51.59/12.92 | | | | | | | | (2628) all_22_2 = e20
% 51.59/12.92 | | | | | | | |
% 51.59/12.92 | | | | | | | | REF_CLOSE: (584), (814), (2628) are inconsistent by sub-proof
% 51.59/12.92 | | | | | | | | #73.
% 51.59/12.92 | | | | | | | |
% 51.59/12.92 | | | | | | | End of split
% 51.59/12.92 | | | | | | |
% 51.59/12.92 | | | | | | End of split
% 51.59/12.92 | | | | | |
% 51.59/12.92 | | | | | End of split
% 51.59/12.92 | | | | |
% 51.59/12.92 | | | | Case 2:
% 51.59/12.92 | | | | |
% 51.59/12.92 | | | | | (2629) all_18_8 = e23 & all_18_10 = e22 & all_18_12 = e21 &
% 51.59/12.92 | | | | | all_18_14 = e20
% 51.59/12.92 | | | | |
% 51.59/12.92 | | | | | ALPHA: (2629) implies:
% 51.59/12.92 | | | | | (2630) all_18_14 = e20
% 51.59/12.92 | | | | | (2631) all_18_12 = e21
% 51.59/12.92 | | | | | (2632) all_18_10 = e22
% 51.59/12.92 | | | | | (2633) all_18_8 = e23
% 51.59/12.92 | | | | |
% 51.59/12.92 | | | | | REDUCE: (917), (2633) imply:
% 51.59/12.92 | | | | | (2634) op2(all_14_4, all_14_4) = e23
% 51.59/12.92 | | | | |
% 51.59/12.92 | | | | | REDUCE: (919), (2631) imply:
% 51.59/12.92 | | | | | (2635) op2(all_14_6, all_14_6) = e21
% 51.59/12.92 | | | | |
% 51.59/12.92 | | | | | REDUCE: (920), (2630) imply:
% 51.59/12.92 | | | | | (2636) op2(all_14_7, all_14_7) = e20
% 51.59/12.92 | | | | |
% 51.59/12.92 | | | | | REDUCE: (918), (2632) imply:
% 51.59/12.92 | | | | | (2637) op2(all_6_1, all_6_1) = e22
% 51.59/12.92 | | | | |
% 51.59/12.92 | | | | | BETA: splitting (310) gives:
% 51.59/12.92 | | | | |
% 51.59/12.92 | | | | | Case 1:
% 51.59/12.92 | | | | | |
% 51.59/12.92 | | | | | | (2638) all_22_2 = e21
% 51.59/12.92 | | | | | |
% 51.59/12.92 | | | | | | COMBINE_EQS: (584), (2638) imply:
% 51.59/12.92 | | | | | | (2639) all_14_8 = e21
% 51.59/12.92 | | | | | |
% 51.59/12.92 | | | | | | SIMP: (2639) implies:
% 51.59/12.92 | | | | | | (2640) all_14_8 = e21
% 51.59/12.92 | | | | | |
% 51.59/12.92 | | | | | | REDUCE: (152), (2640) imply:
% 51.59/12.92 | | | | | | (2641) ~ (all_14_4 = e21)
% 51.59/12.92 | | | | | |
% 51.59/12.92 | | | | | | REDUCE: (139), (2640) imply:
% 51.59/12.92 | | | | | | (2642) ~ (all_14_11 = e21)
% 51.59/12.92 | | | | | |
% 51.59/12.92 | | | | | | SIMP: (2642) implies:
% 51.59/12.92 | | | | | | (2643) ~ (all_14_11 = e21)
% 51.59/12.92 | | | | | |
% 51.59/12.92 | | | | | | REDUCE: (921), (2640) imply:
% 51.59/12.92 | | | | | | (2644) op2(e21, e21) = all_18_16
% 51.59/12.92 | | | | | |
% 51.59/12.92 | | | | | | BETA: splitting (301) gives:
% 51.59/12.92 | | | | | |
% 51.59/12.92 | | | | | | Case 1:
% 51.59/12.92 | | | | | | |
% 51.59/12.92 | | | | | | | (2645) all_22_14 = e21
% 51.59/12.92 | | | | | | |
% 51.59/12.92 | | | | | | | REF_CLOSE: (543), (2643), (2645) are inconsistent by sub-proof
% 51.59/12.92 | | | | | | | #22.
% 51.59/12.92 | | | | | | |
% 51.59/12.92 | | | | | | Case 2:
% 51.59/12.92 | | | | | | |
% 51.59/12.92 | | | | | | | (2646) all_22_14 = e23 | all_22_14 = e22 | all_22_14 = e20
% 51.59/12.92 | | | | | | |
% 51.59/12.92 | | | | | | | BETA: splitting (2646) gives:
% 51.59/12.92 | | | | | | |
% 51.59/12.92 | | | | | | | Case 1:
% 51.59/12.92 | | | | | | | |
% 51.59/12.92 | | | | | | | | (2647) all_22_14 = e22
% 51.59/12.92 | | | | | | | |
% 51.59/12.92 | | | | | | | | REF_CLOSE: (543), (823), (2647) are inconsistent by sub-proof
% 51.59/12.92 | | | | | | | | #21.
% 51.59/12.92 | | | | | | | |
% 51.59/12.92 | | | | | | | Case 2:
% 51.59/12.92 | | | | | | | |
% 51.59/12.92 | | | | | | | | (2648) ~ (all_22_14 = e22)
% 51.59/12.92 | | | | | | | | (2649) all_22_14 = e23 | all_22_14 = e20
% 51.59/12.92 | | | | | | | |
% 51.59/12.92 | | | | | | | | BETA: splitting (2649) gives:
% 51.59/12.92 | | | | | | | |
% 51.59/12.92 | | | | | | | | Case 1:
% 51.59/12.92 | | | | | | | | |
% 51.59/12.92 | | | | | | | | | (2650) all_22_14 = e23
% 51.59/12.92 | | | | | | | | |
% 51.59/12.92 | | | | | | | | | COMBINE_EQS: (543), (2650) imply:
% 51.59/12.92 | | | | | | | | | (2651) all_14_11 = e23
% 51.59/12.92 | | | | | | | | |
% 51.59/12.92 | | | | | | | | | SIMP: (2651) implies:
% 51.59/12.92 | | | | | | | | | (2652) all_14_11 = e23
% 51.59/12.92 | | | | | | | | |
% 51.59/12.92 | | | | | | | | | COMBINE_EQS: (773), (2652) imply:
% 51.59/12.93 | | | | | | | | | (2653) all_24_14 = e23
% 51.59/12.93 | | | | | | | | |
% 51.59/12.93 | | | | | | | | | REDUCE: (157), (2652) imply:
% 51.59/12.93 | | | | | | | | | (2654) ~ (all_14_3 = e23)
% 51.59/12.93 | | | | | | | | |
% 51.59/12.93 | | | | | | | | | REDUCE: (143), (2652) imply:
% 51.59/12.93 | | | | | | | | | (2655) ~ (all_14_7 = e23)
% 51.59/12.93 | | | | | | | | |
% 51.59/12.93 | | | | | | | | | REDUCE: (823), (2652) imply:
% 51.59/12.93 | | | | | | | | | (2656) ~ (e23 = e22)
% 51.59/12.93 | | | | | | | | |
% 51.59/12.93 | | | | | | | | | REDUCE: (924), (2652) imply:
% 51.59/12.93 | | | | | | | | | (2657) op2(e23, e23) = all_18_22
% 51.59/12.93 | | | | | | | | |
% 51.59/12.93 | | | | | | | | | GROUND_INST: instantiating (33) with e22, all_18_16, e21, e21,
% 51.59/12.93 | | | | | | | | | simplifying with (21), (2644) gives:
% 51.59/12.93 | | | | | | | | | (2658) all_18_16 = e22
% 51.59/12.93 | | | | | | | | |
% 51.59/12.93 | | | | | | | | | GROUND_INST: instantiating (33) with all_8_1, all_18_22, e23,
% 51.59/12.93 | | | | | | | | | e23, simplifying with (49), (2657) gives:
% 51.59/12.93 | | | | | | | | | (2659) all_18_22 = all_8_1
% 51.59/12.93 | | | | | | | | |
% 51.59/12.93 | | | | | | | | | BETA: splitting (304) gives:
% 51.59/12.93 | | | | | | | | |
% 51.59/12.93 | | | | | | | | | Case 1:
% 51.59/12.93 | | | | | | | | | |
% 51.59/12.93 | | | | | | | | | | (2660) all_22_9 = e21
% 51.59/12.93 | | | | | | | | | |
% 51.59/12.93 | | | | | | | | | | COMBINE_EQS: (689), (2660) imply:
% 51.59/12.93 | | | | | | | | | | (2661) all_14_6 = e21
% 51.59/12.93 | | | | | | | | | |
% 51.59/12.93 | | | | | | | | | | REF_CLOSE: (21), (33), (811), (2635), (2661) are inconsistent
% 51.59/12.93 | | | | | | | | | | by sub-proof #60.
% 51.59/12.93 | | | | | | | | | |
% 51.59/12.93 | | | | | | | | | Case 2:
% 51.59/12.93 | | | | | | | | | |
% 51.59/12.93 | | | | | | | | | | (2662) all_22_9 = e23 | all_22_9 = e22 | all_22_9 = e20
% 51.59/12.93 | | | | | | | | | |
% 51.59/12.93 | | | | | | | | | | BETA: splitting (2662) gives:
% 51.59/12.93 | | | | | | | | | |
% 51.59/12.93 | | | | | | | | | | Case 1:
% 51.59/12.93 | | | | | | | | | | |
% 51.59/12.93 | | | | | | | | | | | (2663) all_22_9 = e22
% 51.59/12.93 | | | | | | | | | | |
% 51.59/12.93 | | | | | | | | | | | REF_CLOSE: (689), (811), (2663) are inconsistent by sub-proof
% 51.59/12.93 | | | | | | | | | | | #69.
% 51.59/12.93 | | | | | | | | | | |
% 51.59/12.93 | | | | | | | | | | Case 2:
% 51.59/12.93 | | | | | | | | | | |
% 51.59/12.93 | | | | | | | | | | | (2664) ~ (all_22_9 = e22)
% 51.59/12.93 | | | | | | | | | | | (2665) all_22_9 = e23 | all_22_9 = e20
% 51.59/12.93 | | | | | | | | | | |
% 51.59/12.93 | | | | | | | | | | | BETA: splitting (2665) gives:
% 51.59/12.93 | | | | | | | | | | |
% 51.59/12.93 | | | | | | | | | | | Case 1:
% 51.59/12.93 | | | | | | | | | | | |
% 51.59/12.93 | | | | | | | | | | | | (2666) all_22_9 = e23
% 51.59/12.93 | | | | | | | | | | | |
% 51.59/12.93 | | | | | | | | | | | | REF_CLOSE: (689), (812), (2666) are inconsistent by sub-proof
% 51.59/12.93 | | | | | | | | | | | | #68.
% 51.59/12.93 | | | | | | | | | | | |
% 51.59/12.93 | | | | | | | | | | | Case 2:
% 51.59/12.93 | | | | | | | | | | | |
% 51.59/12.93 | | | | | | | | | | | | (2667) all_22_9 = e20
% 51.59/12.93 | | | | | | | | | | | |
% 51.59/12.93 | | | | | | | | | | | | COMBINE_EQS: (689), (2667) imply:
% 51.59/12.93 | | | | | | | | | | | | (2668) all_14_6 = e20
% 51.59/12.93 | | | | | | | | | | | |
% 51.59/12.93 | | | | | | | | | | | | SIMP: (2668) implies:
% 51.59/12.93 | | | | | | | | | | | | (2669) all_14_6 = e20
% 51.59/12.93 | | | | | | | | | | | |
% 51.59/12.93 | | | | | | | | | | | | REDUCE: (146), (2669) imply:
% 51.59/12.93 | | | | | | | | | | | | (2670) ~ (all_14_7 = e20)
% 51.59/12.93 | | | | | | | | | | | |
% 51.59/12.93 | | | | | | | | | | | | SIMP: (2670) implies:
% 51.59/12.93 | | | | | | | | | | | | (2671) ~ (all_14_7 = e20)
% 51.59/12.93 | | | | | | | | | | | |
% 51.59/12.93 | | | | | | | | | | | | REDUCE: (805), (2669) imply:
% 51.59/12.93 | | | | | | | | | | | | (2672) ~ (all_6_1 = e20)
% 51.59/12.93 | | | | | | | | | | | |
% 51.59/12.93 | | | | | | | | | | | | REDUCE: (812), (2669) imply:
% 51.59/12.93 | | | | | | | | | | | | (2673) ~ (e23 = e20)
% 51.59/12.93 | | | | | | | | | | | |
% 51.59/12.93 | | | | | | | | | | | | REDUCE: (2635), (2669) imply:
% 51.59/12.93 | | | | | | | | | | | | (2674) op2(e20, e20) = e21
% 51.59/12.93 | | | | | | | | | | | |
% 51.59/12.93 | | | | | | | | | | | | BETA: splitting (2319) gives:
% 51.59/12.93 | | | | | | | | | | | |
% 51.59/12.93 | | | | | | | | | | | | Case 1:
% 51.59/12.93 | | | | | | | | | | | | |
% 51.59/12.93 | | | | | | | | | | | | | (2675) all_24_12 = e20
% 51.59/12.93 | | | | | | | | | | | | |
% 51.59/12.93 | | | | | | | | | | | | | COMBINE_EQS: (551), (2675) imply:
% 51.59/12.93 | | | | | | | | | | | | | (2676) all_14_3 = e20
% 51.59/12.93 | | | | | | | | | | | | |
% 51.59/12.93 | | | | | | | | | | | | | SIMP: (2676) implies:
% 51.59/12.93 | | | | | | | | | | | | | (2677) all_14_3 = e20
% 51.59/12.93 | | | | | | | | | | | | |
% 51.59/12.93 | | | | | | | | | | | | | REDUCE: (162), (2677) imply:
% 51.59/12.93 | | | | | | | | | | | | | (2678) ~ (all_14_2 = e20)
% 51.59/12.93 | | | | | | | | | | | | |
% 51.59/12.93 | | | | | | | | | | | | | REDUCE: (916), (2677) imply:
% 51.59/12.93 | | | | | | | | | | | | | (2679) op2(e20, e20) = all_18_6
% 51.59/12.93 | | | | | | | | | | | | |
% 51.59/12.93 | | | | | | | | | | | | | BETA: splitting (305) gives:
% 51.59/12.93 | | | | | | | | | | | | |
% 51.59/12.93 | | | | | | | | | | | | | Case 1:
% 51.59/12.93 | | | | | | | | | | | | | |
% 51.59/12.93 | | | | | | | | | | | | | | (2680) all_22_8 = e21
% 51.59/12.93 | | | | | | | | | | | | | |
% 51.59/12.93 | | | | | | | | | | | | | | COMBINE_EQS: (687), (2680) imply:
% 51.59/12.93 | | | | | | | | | | | | | | (2681) all_14_2 = e21
% 51.59/12.93 | | | | | | | | | | | | | |
% 51.59/12.93 | | | | | | | | | | | | | | REDUCE: (167), (2681) imply:
% 51.59/12.93 | | | | | | | | | | | | | | (2682) ~ (all_14_1 = e21)
% 51.59/12.93 | | | | | | | | | | | | | |
% 51.59/12.93 | | | | | | | | | | | | | | REDUCE: (800), (2681) imply:
% 51.59/12.93 | | | | | | | | | | | | | | (2683) ~ (e22 = e21)
% 51.59/12.93 | | | | | | | | | | | | | |
% 51.59/12.93 | | | | | | | | | | | | | | GROUND_INST: instantiating (33) with all_10_1, all_18_6, e20,
% 51.59/12.93 | | | | | | | | | | | | | | e20, simplifying with (57), (2679) gives:
% 51.59/12.93 | | | | | | | | | | | | | | (2684) all_18_6 = all_10_1
% 51.59/12.93 | | | | | | | | | | | | | |
% 51.59/12.93 | | | | | | | | | | | | | | GROUND_INST: instantiating (33) with e21, all_18_6, e20, e20,
% 51.59/12.93 | | | | | | | | | | | | | | simplifying with (2674), (2679) gives:
% 51.59/12.93 | | | | | | | | | | | | | | (2685) all_18_6 = e21
% 51.59/12.93 | | | | | | | | | | | | | |
% 51.59/12.93 | | | | | | | | | | | | | | COMBINE_EQS: (2684), (2685) imply:
% 51.59/12.93 | | | | | | | | | | | | | | (2686) all_10_1 = e21
% 51.59/12.93 | | | | | | | | | | | | | |
% 51.59/12.93 | | | | | | | | | | | | | | SIMP: (2686) implies:
% 51.59/12.93 | | | | | | | | | | | | | | (2687) all_10_1 = e21
% 51.59/12.93 | | | | | | | | | | | | | |
% 51.59/12.93 | | | | | | | | | | | | | | REDUCE: (813), (2687) imply:
% 51.59/12.93 | | | | | | | | | | | | | | (2688) ~ (all_14_7 = e21)
% 51.59/12.93 | | | | | | | | | | | | | |
% 51.59/12.93 | | | | | | | | | | | | | | REDUCE: (830), (2687) imply:
% 51.59/12.93 | | | | | | | | | | | | | | (2689) ~ (e23 = e21)
% 51.59/12.93 | | | | | | | | | | | | | |
% 51.59/12.93 | | | | | | | | | | | | | | BETA: splitting (302) gives:
% 51.59/12.93 | | | | | | | | | | | | | |
% 51.59/12.93 | | | | | | | | | | | | | | Case 1:
% 51.59/12.93 | | | | | | | | | | | | | | |
% 51.59/12.93 | | | | | | | | | | | | | | | (2690) all_22_13 = e21
% 51.59/12.93 | | | | | | | | | | | | | | |
% 51.59/12.93 | | | | | | | | | | | | | | | COMBINE_EQS: (546), (2690) imply:
% 51.59/12.93 | | | | | | | | | | | | | | | (2691) all_14_7 = e21
% 51.59/12.93 | | | | | | | | | | | | | | |
% 51.59/12.93 | | | | | | | | | | | | | | | REDUCE: (2688), (2691) imply:
% 51.59/12.93 | | | | | | | | | | | | | | | (2692) $false
% 51.59/12.93 | | | | | | | | | | | | | | |
% 51.59/12.93 | | | | | | | | | | | | | | | CLOSE: (2692) is inconsistent.
% 51.59/12.93 | | | | | | | | | | | | | | |
% 51.59/12.93 | | | | | | | | | | | | | | Case 2:
% 51.59/12.93 | | | | | | | | | | | | | | |
% 51.59/12.93 | | | | | | | | | | | | | | | (2693) all_22_13 = e23 | all_22_13 = e22 | all_22_13 =
% 51.59/12.93 | | | | | | | | | | | | | | | e20
% 51.59/12.93 | | | | | | | | | | | | | | |
% 51.59/12.93 | | | | | | | | | | | | | | | BETA: splitting (338) gives:
% 51.59/12.93 | | | | | | | | | | | | | | |
% 51.59/12.93 | | | | | | | | | | | | | | | Case 1:
% 51.59/12.93 | | | | | | | | | | | | | | | |
% 51.59/12.93 | | | | | | | | | | | | | | | | (2694) all_24_2 = e21
% 51.59/12.93 | | | | | | | | | | | | | | | |
% 51.59/12.93 | | | | | | | | | | | | | | | | COMBINE_EQS: (580), (2694) imply:
% 51.59/12.93 | | | | | | | | | | | | | | | | (2695) all_14_1 = e21
% 51.59/12.93 | | | | | | | | | | | | | | | |
% 51.59/12.93 | | | | | | | | | | | | | | | | SIMP: (2695) implies:
% 51.59/12.93 | | | | | | | | | | | | | | | | (2696) all_14_1 = e21
% 51.59/12.93 | | | | | | | | | | | | | | | |
% 51.59/12.93 | | | | | | | | | | | | | | | | REDUCE: (2682), (2696) imply:
% 51.59/12.93 | | | | | | | | | | | | | | | | (2697) $false
% 51.59/12.93 | | | | | | | | | | | | | | | |
% 51.59/12.93 | | | | | | | | | | | | | | | | CLOSE: (2697) is inconsistent.
% 51.59/12.93 | | | | | | | | | | | | | | | |
% 51.59/12.93 | | | | | | | | | | | | | | | Case 2:
% 51.59/12.93 | | | | | | | | | | | | | | | |
% 51.59/12.93 | | | | | | | | | | | | | | | | (2698) all_24_3 = e21 | all_24_5 = e21 | all_24_10 = e21
% 51.59/12.93 | | | | | | | | | | | | | | | |
% 51.59/12.93 | | | | | | | | | | | | | | | | BETA: splitting (2698) gives:
% 51.59/12.93 | | | | | | | | | | | | | | | |
% 51.59/12.93 | | | | | | | | | | | | | | | | Case 1:
% 51.59/12.93 | | | | | | | | | | | | | | | | |
% 51.59/12.93 | | | | | | | | | | | | | | | | | (2699) all_24_3 = e21
% 51.59/12.93 | | | | | | | | | | | | | | | | |
% 51.59/12.93 | | | | | | | | | | | | | | | | | COMBINE_EQS: (577), (2699) imply:
% 51.59/12.93 | | | | | | | | | | | | | | | | | (2700) all_6_1 = e21
% 51.59/12.93 | | | | | | | | | | | | | | | | |
% 51.59/12.93 | | | | | | | | | | | | | | | | | SIMP: (2700) implies:
% 51.59/12.93 | | | | | | | | | | | | | | | | | (2701) all_6_1 = e21
% 51.59/12.93 | | | | | | | | | | | | | | | | |
% 51.59/12.93 | | | | | | | | | | | | | | | | | BETA: splitting (339) gives:
% 51.59/12.93 | | | | | | | | | | | | | | | | |
% 51.59/12.93 | | | | | | | | | | | | | | | | | Case 1:
% 51.59/12.93 | | | | | | | | | | | | | | | | | |
% 51.59/12.93 | | | | | | | | | | | | | | | | | | (2702) all_24_2 = e23
% 51.59/12.93 | | | | | | | | | | | | | | | | | |
% 51.59/12.94 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (580), (2702) imply:
% 51.59/12.94 | | | | | | | | | | | | | | | | | | (2703) all_14_1 = e23
% 51.59/12.94 | | | | | | | | | | | | | | | | | |
% 51.59/12.94 | | | | | | | | | | | | | | | | | | SIMP: (2703) implies:
% 51.59/12.94 | | | | | | | | | | | | | | | | | | (2704) all_14_1 = e23
% 51.59/12.94 | | | | | | | | | | | | | | | | | |
% 51.59/12.94 | | | | | | | | | | | | | | | | | | REDUCE: (163), (2704) imply:
% 51.59/12.94 | | | | | | | | | | | | | | | | | | (2705) ~ (all_14_13 = e23)
% 51.59/12.94 | | | | | | | | | | | | | | | | | |
% 51.59/12.94 | | | | | | | | | | | | | | | | | | REDUCE: (914), (2704) imply:
% 51.59/12.94 | | | | | | | | | | | | | | | | | | (2706) op2(e23, e23) = all_18_2
% 51.59/12.94 | | | | | | | | | | | | | | | | | |
% 51.59/12.94 | | | | | | | | | | | | | | | | | | BETA: splitting (312) gives:
% 51.59/12.94 | | | | | | | | | | | | | | | | | |
% 51.59/12.94 | | | | | | | | | | | | | | | | | | Case 1:
% 51.59/12.94 | | | | | | | | | | | | | | | | | | |
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | (2707) all_22_0 = e21
% 51.59/12.94 | | | | | | | | | | | | | | | | | | |
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (675), (2707) imply:
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | (2708) all_8_1 = e21
% 51.59/12.94 | | | | | | | | | | | | | | | | | | |
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | SIMP: (2708) implies:
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | (2709) all_8_1 = e21
% 51.59/12.94 | | | | | | | | | | | | | | | | | | |
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (593), (2709) imply:
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | (2710) all_24_0 = e21
% 51.59/12.94 | | | | | | | | | | | | | | | | | | |
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (13), (14), (346), (347), (566), (800),
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | (801), (817), (2656), (2675), (2710) are
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #35.
% 51.59/12.94 | | | | | | | | | | | | | | | | | | |
% 51.59/12.94 | | | | | | | | | | | | | | | | | | Case 2:
% 51.59/12.94 | | | | | | | | | | | | | | | | | | |
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | (2711) all_22_0 = e23 | all_22_0 = e22 | all_22_0 = e20
% 51.59/12.94 | | | | | | | | | | | | | | | | | | |
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | BETA: splitting (342) gives:
% 51.59/12.94 | | | | | | | | | | | | | | | | | | |
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | Case 1:
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | |
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | (2712) all_24_1 = e23
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | |
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (589), (2712) imply:
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | (2713) all_14_4 = e23
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | |
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | SIMP: (2713) implies:
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | (2714) all_14_4 = e23
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | |
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | REDUCE: (153), (2714) imply:
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | (2715) ~ (all_14_7 = e23)
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | |
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | REDUCE: (793), (2714) imply:
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | (2716) ~ (all_8_1 = e23)
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | |
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | SIMP: (2716) implies:
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | (2717) ~ (all_8_1 = e23)
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | |
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | REDUCE: (2634), (2714) imply:
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | (2718) op2(e23, e23) = e23
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | |
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | BETA: splitting (2711) gives:
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | |
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | | (2719) all_22_0 = e22
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (675), (2719) imply:
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | | (2720) all_8_1 = e22
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | | SIMP: (2720) implies:
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | | (2721) all_8_1 = e22
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | | REDUCE: (49), (2721) imply:
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | | (2722) op2(e23, e23) = e22
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2693) gives:
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | | | (2723) all_22_13 = e22
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (546), (2723) imply:
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | | | (2724) all_14_7 = e22
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | | | SIMP: (2724) implies:
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | | | (2725) all_14_7 = e22
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2655), (2725) imply:
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | | | (2726) ~ (e23 = e22)
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (33) with e23, all_18_2, e23, e23,
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | | | simplifying with (2706), (2718) gives:
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | | | (2727) all_18_2 = e23
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (33) with e22, all_18_2, e23, e23,
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | | | simplifying with (2706), (2722) gives:
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | | | (2728) all_18_2 = e22
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2727), (2728) imply:
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | | | (2729) e23 = e22
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | | | SIMP: (2729) implies:
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | | | (2730) e23 = e22
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2702), (2730) imply:
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | | | (2731) all_24_2 = e22
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (14), (339), (569), (573), (827), (2656),
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | | | (2699), (2731) are inconsistent by sub-proof #55.
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | | | (2732) all_22_13 = e23 | all_22_13 = e20
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (546), (2655), (2671), (2732) are inconsistent by
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | | | sub-proof #87.
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | | End of split
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | | (2733) ~ (all_22_0 = e22)
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | | REDUCE: (675), (2733) imply:
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | | (2734) ~ (all_8_1 = e22)
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (346), (347), (566), (593), (800), (801),
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | | (817), (2656), (2675), (2717), (2734) are
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3.
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | End of split
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | |
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | Case 2:
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | |
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | (2735) ~ (all_24_1 = e23)
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | |
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | REDUCE: (589), (2735) imply:
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | (2736) ~ (all_14_4 = e23)
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | |
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | BETA: splitting (311) gives:
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | |
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | | (2737) all_22_1 = e21
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (676), (2641), (2737) are inconsistent by
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | | sub-proof #78.
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | | (2738) all_22_1 = e23 | all_22_1 = e22 | all_22_1 = e20
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2693) gives:
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | | | (2739) all_22_13 = e22
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (546), (2739) imply:
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | | | (2740) all_14_7 = e22
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | | | SIMP: (2740) implies:
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | | | (2741) all_14_7 = e22
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (153), (2741) imply:
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | | | (2742) ~ (all_14_4 = e22)
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (676), (2324), (2736), (2738), (2742) are
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #89.
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | | | (2743) all_22_13 = e23 | all_22_13 = e20
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (546), (2655), (2671), (2743) are inconsistent by
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | | | sub-proof #87.
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | | End of split
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | | End of split
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | |
% 51.59/12.94 | | | | | | | | | | | | | | | | | | | End of split
% 51.59/12.94 | | | | | | | | | | | | | | | | | | |
% 51.59/12.94 | | | | | | | | | | | | | | | | | | End of split
% 51.59/12.94 | | | | | | | | | | | | | | | | | |
% 51.59/12.94 | | | | | | | | | | | | | | | | | Case 2:
% 51.59/12.94 | | | | | | | | | | | | | | | | | |
% 51.59/12.94 | | | | | | | | | | | | | | | | | | (2744) all_24_3 = e23 | all_24_5 = e23 | all_24_10 = e23
% 51.59/12.94 | | | | | | | | | | | | | | | | | |
% 51.59/12.94 | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (14), (569), (573), (827), (2699), (2744)
% 51.59/12.94 | | | | | | | | | | | | | | | | | | are inconsistent by sub-proof #56.
% 51.59/12.94 | | | | | | | | | | | | | | | | | |
% 51.59/12.94 | | | | | | | | | | | | | | | | | End of split
% 51.59/12.94 | | | | | | | | | | | | | | | | |
% 51.59/12.94 | | | | | | | | | | | | | | | | Case 2:
% 51.59/12.94 | | | | | | | | | | | | | | | | |
% 51.59/12.94 | | | | | | | | | | | | | | | | | (2745) ~ (all_24_3 = e21)
% 51.59/12.94 | | | | | | | | | | | | | | | | |
% 51.59/12.95 | | | | | | | | | | | | | | | | | REDUCE: (577), (2745) imply:
% 51.59/12.95 | | | | | | | | | | | | | | | | | (2746) ~ (all_6_1 = e21)
% 51.59/12.95 | | | | | | | | | | | | | | | | |
% 51.59/12.95 | | | | | | | | | | | | | | | | | REF_CLOSE: (153), (307), (311), (546), (676), (681), (803),
% 51.59/12.95 | | | | | | | | | | | | | | | | | (807), (808), (2324), (2641), (2655), (2671),
% 51.59/12.95 | | | | | | | | | | | | | | | | | (2693), (2746) are inconsistent by sub-proof #86.
% 51.59/12.95 | | | | | | | | | | | | | | | | |
% 51.59/12.95 | | | | | | | | | | | | | | | | End of split
% 51.59/12.95 | | | | | | | | | | | | | | | |
% 51.59/12.95 | | | | | | | | | | | | | | | End of split
% 51.59/12.95 | | | | | | | | | | | | | | |
% 51.59/12.95 | | | | | | | | | | | | | | End of split
% 51.59/12.95 | | | | | | | | | | | | | |
% 51.59/12.95 | | | | | | | | | | | | | Case 2:
% 51.59/12.95 | | | | | | | | | | | | | |
% 51.59/12.95 | | | | | | | | | | | | | | (2747) all_22_8 = e23 | all_22_8 = e22 | all_22_8 = e20
% 51.59/12.95 | | | | | | | | | | | | | |
% 51.59/12.95 | | | | | | | | | | | | | | REF_CLOSE: (687), (800), (801), (2678), (2747) are
% 51.59/12.95 | | | | | | | | | | | | | | inconsistent by sub-proof #85.
% 51.59/12.95 | | | | | | | | | | | | | |
% 51.59/12.95 | | | | | | | | | | | | | End of split
% 51.59/12.95 | | | | | | | | | | | | |
% 51.59/12.95 | | | | | | | | | | | | Case 2:
% 51.59/12.95 | | | | | | | | | | | | |
% 51.59/12.95 | | | | | | | | | | | | | (2748) all_24_13 = e20 | all_24_14 = e20
% 51.59/12.95 | | | | | | | | | | | | |
% 51.59/12.95 | | | | | | | | | | | | | BETA: splitting (2748) gives:
% 51.59/12.95 | | | | | | | | | | | | |
% 51.59/12.95 | | | | | | | | | | | | | Case 1:
% 51.59/12.95 | | | | | | | | | | | | | |
% 51.59/12.95 | | | | | | | | | | | | | | (2749) all_24_13 = e20
% 51.59/12.95 | | | | | | | | | | | | | |
% 51.59/12.95 | | | | | | | | | | | | | | COMBINE_EQS: (774), (2749) imply:
% 51.59/12.95 | | | | | | | | | | | | | | (2750) all_14_7 = e20
% 51.59/12.95 | | | | | | | | | | | | | |
% 51.59/12.95 | | | | | | | | | | | | | | REDUCE: (2671), (2750) imply:
% 51.59/12.95 | | | | | | | | | | | | | | (2751) $false
% 51.59/12.95 | | | | | | | | | | | | | |
% 51.59/12.95 | | | | | | | | | | | | | | CLOSE: (2751) is inconsistent.
% 51.59/12.95 | | | | | | | | | | | | | |
% 51.59/12.95 | | | | | | | | | | | | | Case 2:
% 51.59/12.95 | | | | | | | | | | | | | |
% 51.59/12.95 | | | | | | | | | | | | | | (2752) all_24_14 = e20
% 51.59/12.95 | | | | | | | | | | | | | |
% 51.59/12.95 | | | | | | | | | | | | | | COMBINE_EQS: (2653), (2752) imply:
% 51.59/12.95 | | | | | | | | | | | | | | (2753) e23 = e20
% 51.59/12.95 | | | | | | | | | | | | | |
% 51.59/12.95 | | | | | | | | | | | | | | REDUCE: (13), (2753) imply:
% 51.59/12.95 | | | | | | | | | | | | | | (2754) $false
% 51.59/12.95 | | | | | | | | | | | | | |
% 51.59/12.95 | | | | | | | | | | | | | | CLOSE: (2754) is inconsistent.
% 51.59/12.95 | | | | | | | | | | | | | |
% 51.59/12.95 | | | | | | | | | | | | | End of split
% 51.59/12.95 | | | | | | | | | | | | |
% 51.59/12.95 | | | | | | | | | | | | End of split
% 51.59/12.95 | | | | | | | | | | | |
% 51.59/12.95 | | | | | | | | | | | End of split
% 51.59/12.95 | | | | | | | | | | |
% 51.59/12.95 | | | | | | | | | | End of split
% 51.59/12.95 | | | | | | | | | |
% 51.59/12.95 | | | | | | | | | End of split
% 51.59/12.95 | | | | | | | | |
% 51.59/12.95 | | | | | | | | Case 2:
% 51.59/12.95 | | | | | | | | |
% 51.59/12.95 | | | | | | | | | (2755) all_22_14 = e20
% 51.59/12.95 | | | | | | | | |
% 51.59/12.95 | | | | | | | | | REF_CLOSE: (543), (819), (2755) are inconsistent by sub-proof
% 51.59/12.95 | | | | | | | | | #20.
% 51.59/12.95 | | | | | | | | |
% 51.59/12.95 | | | | | | | | End of split
% 51.59/12.95 | | | | | | | |
% 51.59/12.95 | | | | | | | End of split
% 51.59/12.95 | | | | | | |
% 51.59/12.95 | | | | | | End of split
% 51.59/12.95 | | | | | |
% 51.59/12.95 | | | | | Case 2:
% 51.59/12.95 | | | | | |
% 51.59/12.95 | | | | | | (2756) ~ (all_22_2 = e21)
% 51.59/12.95 | | | | | | (2757) all_22_2 = e23 | all_22_2 = e22 | all_22_2 = e20
% 51.59/12.95 | | | | | |
% 51.59/12.95 | | | | | | REDUCE: (584), (2756) imply:
% 51.59/12.95 | | | | | | (2758) ~ (all_14_8 = e21)
% 51.59/12.95 | | | | | |
% 51.59/12.95 | | | | | | BETA: splitting (2757) gives:
% 51.59/12.95 | | | | | |
% 51.59/12.95 | | | | | | Case 1:
% 51.59/12.95 | | | | | | |
% 51.59/12.95 | | | | | | | (2759) all_22_2 = e22
% 51.59/12.95 | | | | | | |
% 51.59/12.95 | | | | | | | REF_CLOSE: (584), (815), (2759) are inconsistent by sub-proof #80.
% 51.59/12.95 | | | | | | |
% 51.59/12.95 | | | | | | Case 2:
% 51.59/12.95 | | | | | | |
% 51.59/12.95 | | | | | | | (2760) all_22_2 = e23 | all_22_2 = e20
% 51.59/12.95 | | | | | | |
% 51.59/12.95 | | | | | | | BETA: splitting (2760) gives:
% 51.59/12.95 | | | | | | |
% 51.59/12.95 | | | | | | | Case 1:
% 51.59/12.95 | | | | | | | |
% 51.59/12.95 | | | | | | | | (2761) all_22_2 = e23
% 51.59/12.95 | | | | | | | |
% 51.59/12.95 | | | | | | | | COMBINE_EQS: (584), (2761) imply:
% 51.59/12.95 | | | | | | | | (2762) all_14_8 = e23
% 51.59/12.95 | | | | | | | |
% 51.59/12.95 | | | | | | | | SIMP: (2762) implies:
% 51.59/12.95 | | | | | | | | (2763) all_14_8 = e23
% 51.59/12.95 | | | | | | | |
% 51.59/12.95 | | | | | | | | COMBINE_EQS: (776), (2763) imply:
% 51.59/12.95 | | | | | | | | (2764) all_24_4 = e23
% 51.59/12.95 | | | | | | | |
% 51.59/12.95 | | | | | | | | REDUCE: (152), (2763) imply:
% 51.59/12.95 | | | | | | | | (2765) ~ (all_14_4 = e23)
% 51.59/12.95 | | | | | | | |
% 51.59/12.95 | | | | | | | | REDUCE: (139), (2763) imply:
% 51.59/12.95 | | | | | | | | (2766) ~ (all_14_11 = e23)
% 51.59/12.95 | | | | | | | |
% 51.59/12.95 | | | | | | | | SIMP: (2766) implies:
% 51.59/12.95 | | | | | | | | (2767) ~ (all_14_11 = e23)
% 51.59/12.95 | | | | | | | |
% 51.59/12.95 | | | | | | | | REDUCE: (795), (2763) imply:
% 51.59/12.95 | | | | | | | | (2768) ~ (all_8_1 = e23)
% 51.59/12.95 | | | | | | | |
% 51.59/12.95 | | | | | | | | SIMP: (2768) implies:
% 51.59/12.95 | | | | | | | | (2769) ~ (all_8_1 = e23)
% 51.59/12.95 | | | | | | | |
% 51.59/12.95 | | | | | | | | REDUCE: (921), (2763) imply:
% 51.59/12.95 | | | | | | | | (2770) op2(e23, e23) = all_18_16
% 51.59/12.95 | | | | | | | |
% 51.59/12.95 | | | | | | | | BETA: splitting (301) gives:
% 51.59/12.95 | | | | | | | |
% 51.59/12.95 | | | | | | | | Case 1:
% 51.59/12.95 | | | | | | | | |
% 51.59/12.95 | | | | | | | | | (2771) all_22_14 = e21
% 51.59/12.95 | | | | | | | | |
% 51.59/12.95 | | | | | | | | | COMBINE_EQS: (543), (2771) imply:
% 51.59/12.95 | | | | | | | | | (2772) all_14_11 = e21
% 51.59/12.95 | | | | | | | | |
% 51.59/12.95 | | | | | | | | | SIMP: (2772) implies:
% 51.59/12.95 | | | | | | | | | (2773) all_14_11 = e21
% 51.59/12.95 | | | | | | | | |
% 51.59/12.95 | | | | | | | | | COMBINE_EQS: (773), (2773) imply:
% 51.59/12.95 | | | | | | | | | (2774) all_24_14 = e21
% 51.59/12.95 | | | | | | | | |
% 51.59/12.95 | | | | | | | | | REDUCE: (157), (2773) imply:
% 51.59/12.95 | | | | | | | | | (2775) ~ (all_14_3 = e21)
% 51.59/12.95 | | | | | | | | |
% 51.59/12.95 | | | | | | | | | REDUCE: (143), (2773) imply:
% 51.59/12.95 | | | | | | | | | (2776) ~ (all_14_7 = e21)
% 51.59/12.95 | | | | | | | | |
% 51.59/12.95 | | | | | | | | | REDUCE: (824), (2773) imply:
% 51.59/12.95 | | | | | | | | | (2777) ~ (all_10_1 = e21)
% 51.59/12.95 | | | | | | | | |
% 51.59/12.95 | | | | | | | | | SIMP: (2777) implies:
% 51.59/12.95 | | | | | | | | | (2778) ~ (all_10_1 = e21)
% 51.59/12.95 | | | | | | | | |
% 51.59/12.95 | | | | | | | | | REDUCE: (2767), (2773) imply:
% 51.59/12.95 | | | | | | | | | (2779) ~ (e23 = e21)
% 51.59/12.95 | | | | | | | | |
% 51.59/12.95 | | | | | | | | | REDUCE: (823), (2773) imply:
% 51.59/12.95 | | | | | | | | | (2780) ~ (e22 = e21)
% 51.59/12.95 | | | | | | | | |
% 51.59/12.95 | | | | | | | | | BETA: splitting (300) gives:
% 51.59/12.95 | | | | | | | | |
% 51.59/12.95 | | | | | | | | | Case 1:
% 51.59/12.95 | | | | | | | | | |
% 51.59/12.95 | | | | | | | | | | (2781) all_22_15 = e21
% 51.59/12.95 | | | | | | | | | |
% 51.59/12.95 | | | | | | | | | | REF_CLOSE: (770), (2778), (2781) are inconsistent by
% 51.59/12.95 | | | | | | | | | | sub-proof #19.
% 51.59/12.95 | | | | | | | | | |
% 51.59/12.95 | | | | | | | | | Case 2:
% 51.59/12.95 | | | | | | | | | |
% 51.59/12.95 | | | | | | | | | | (2782) all_22_15 = e23 | all_22_15 = e22 | all_22_15 =
% 51.59/12.95 | | | | | | | | | | e20
% 51.59/12.95 | | | | | | | | | |
% 51.59/12.95 | | | | | | | | | | BETA: splitting (333) gives:
% 51.59/12.95 | | | | | | | | | |
% 51.59/12.95 | | | | | | | | | | Case 1:
% 51.59/12.95 | | | | | | | | | | |
% 51.59/12.95 | | | | | | | | | | | (2783) all_24_9 = e21
% 51.59/12.95 | | | | | | | | | | |
% 51.59/12.95 | | | | | | | | | | | COMBINE_EQS: (2321), (2783) imply:
% 51.59/12.95 | | | | | | | | | | | (2784) e21 = e20
% 51.59/12.95 | | | | | | | | | | |
% 51.59/12.95 | | | | | | | | | | | REDUCE: (11), (2784) imply:
% 51.59/12.95 | | | | | | | | | | | (2785) $false
% 51.59/12.95 | | | | | | | | | | |
% 51.59/12.95 | | | | | | | | | | | CLOSE: (2785) is inconsistent.
% 51.59/12.95 | | | | | | | | | | |
% 51.59/12.95 | | | | | | | | | | Case 2:
% 51.59/12.95 | | | | | | | | | | |
% 51.59/12.95 | | | | | | | | | | | (2786) all_24_10 = e21 | all_24_11 = e21 | all_24_15 =
% 51.59/12.95 | | | | | | | | | | | e21
% 51.59/12.95 | | | | | | | | | | |
% 51.59/12.95 | | | | | | | | | | | BETA: splitting (2786) gives:
% 51.59/12.95 | | | | | | | | | | |
% 51.59/12.95 | | | | | | | | | | | Case 1:
% 51.59/12.95 | | | | | | | | | | | |
% 51.59/12.95 | | | | | | | | | | | | (2787) all_24_10 = e21
% 51.59/12.95 | | | | | | | | | | | |
% 51.59/12.95 | | | | | | | | | | | | COMBINE_EQS: (569), (2787) imply:
% 51.59/12.95 | | | | | | | | | | | | (2788) all_14_13 = e21
% 51.59/12.95 | | | | | | | | | | | |
% 51.59/12.95 | | | | | | | | | | | | SIMP: (2788) implies:
% 51.59/12.96 | | | | | | | | | | | | (2789) all_14_13 = e21
% 51.59/12.96 | | | | | | | | | | | |
% 51.59/12.96 | | | | | | | | | | | | REDUCE: (163), (2789) imply:
% 51.59/12.96 | | | | | | | | | | | | (2790) ~ (all_14_1 = e21)
% 51.59/12.96 | | | | | | | | | | | |
% 51.59/12.96 | | | | | | | | | | | | BETA: splitting (2782) gives:
% 51.59/12.96 | | | | | | | | | | | |
% 51.59/12.96 | | | | | | | | | | | | Case 1:
% 51.59/12.96 | | | | | | | | | | | | |
% 51.59/12.96 | | | | | | | | | | | | | (2791) all_22_15 = e22
% 51.59/12.96 | | | | | | | | | | | | |
% 51.59/12.96 | | | | | | | | | | | | | COMBINE_EQS: (770), (2791) imply:
% 51.59/12.96 | | | | | | | | | | | | | (2792) all_10_1 = e22
% 51.59/12.96 | | | | | | | | | | | | |
% 51.59/12.96 | | | | | | | | | | | | | SIMP: (2792) implies:
% 51.59/12.96 | | | | | | | | | | | | | (2793) all_10_1 = e22
% 51.59/12.96 | | | | | | | | | | | | |
% 51.59/12.96 | | | | | | | | | | | | | COMBINE_EQS: (772), (2793) imply:
% 51.59/12.96 | | | | | | | | | | | | | (2794) all_24_15 = e22
% 51.59/12.96 | | | | | | | | | | | | |
% 51.59/12.96 | | | | | | | | | | | | | REDUCE: (802), (2793) imply:
% 51.59/12.96 | | | | | | | | | | | | | (2795) ~ (all_14_3 = e22)
% 51.59/12.96 | | | | | | | | | | | | |
% 51.59/12.96 | | | | | | | | | | | | | REDUCE: (813), (2793) imply:
% 51.59/12.96 | | | | | | | | | | | | | (2796) ~ (all_14_7 = e22)
% 51.59/12.96 | | | | | | | | | | | | |
% 51.59/12.96 | | | | | | | | | | | | | REDUCE: (830), (2793) imply:
% 51.59/12.96 | | | | | | | | | | | | | (2797) ~ (e23 = e22)
% 51.59/12.96 | | | | | | | | | | | | |
% 51.59/12.96 | | | | | | | | | | | | | SIMP: (2797) implies:
% 51.59/12.96 | | | | | | | | | | | | | (2798) ~ (e23 = e22)
% 51.59/12.96 | | | | | | | | | | | | |
% 51.59/12.96 | | | | | | | | | | | | | REDUCE: (57), (2793) imply:
% 51.59/12.96 | | | | | | | | | | | | | (2799) op2(e20, e20) = e22
% 51.59/12.96 | | | | | | | | | | | | |
% 51.59/12.96 | | | | | | | | | | | | | GROUND_INST: instantiating (33) with all_8_1, all_18_16, e23,
% 51.59/12.96 | | | | | | | | | | | | | e23, simplifying with (49), (2770) gives:
% 51.59/12.96 | | | | | | | | | | | | | (2800) all_18_16 = all_8_1
% 51.59/12.96 | | | | | | | | | | | | |
% 51.59/12.96 | | | | | | | | | | | | | BETA: splitting (304) gives:
% 51.59/12.96 | | | | | | | | | | | | |
% 51.59/12.96 | | | | | | | | | | | | | Case 1:
% 51.59/12.96 | | | | | | | | | | | | | |
% 51.59/12.96 | | | | | | | | | | | | | | (2801) all_22_9 = e21
% 51.59/12.96 | | | | | | | | | | | | | |
% 51.59/12.96 | | | | | | | | | | | | | | COMBINE_EQS: (689), (2801) imply:
% 51.59/12.96 | | | | | | | | | | | | | | (2802) all_14_6 = e21
% 51.59/12.96 | | | | | | | | | | | | | |
% 51.59/12.96 | | | | | | | | | | | | | | COMBINE_EQS: (563), (2802) imply:
% 51.59/12.96 | | | | | | | | | | | | | | (2803) all_24_7 = e21
% 51.59/12.96 | | | | | | | | | | | | | |
% 51.59/12.96 | | | | | | | | | | | | | | REDUCE: (161), (2802) imply:
% 51.59/12.96 | | | | | | | | | | | | | | (2804) ~ (all_14_2 = e21)
% 51.59/12.96 | | | | | | | | | | | | | |
% 51.59/12.96 | | | | | | | | | | | | | | REDUCE: (154), (2802) imply:
% 51.59/12.96 | | | | | | | | | | | | | | (2805) ~ (all_14_4 = e21)
% 51.59/12.96 | | | | | | | | | | | | | |
% 51.59/12.96 | | | | | | | | | | | | | | REDUCE: (146), (2802) imply:
% 51.59/12.96 | | | | | | | | | | | | | | (2806) ~ (all_14_7 = e21)
% 51.59/12.96 | | | | | | | | | | | | | |
% 51.59/12.96 | | | | | | | | | | | | | | REDUCE: (805), (2802) imply:
% 51.59/12.96 | | | | | | | | | | | | | | (2807) ~ (all_6_1 = e21)
% 51.59/12.96 | | | | | | | | | | | | | |
% 51.59/12.96 | | | | | | | | | | | | | | SIMP: (2807) implies:
% 51.59/12.96 | | | | | | | | | | | | | | (2808) ~ (all_6_1 = e21)
% 51.59/12.96 | | | | | | | | | | | | | |
% 51.59/12.96 | | | | | | | | | | | | | | BETA: splitting (311) gives:
% 51.59/12.96 | | | | | | | | | | | | | |
% 51.59/12.96 | | | | | | | | | | | | | | Case 1:
% 51.59/12.96 | | | | | | | | | | | | | | |
% 51.59/12.96 | | | | | | | | | | | | | | | (2809) all_22_1 = e21
% 51.59/12.96 | | | | | | | | | | | | | | |
% 51.59/12.96 | | | | | | | | | | | | | | | COMBINE_EQS: (676), (2809) imply:
% 51.59/12.96 | | | | | | | | | | | | | | | (2810) all_14_4 = e21
% 51.59/12.96 | | | | | | | | | | | | | | |
% 51.59/12.96 | | | | | | | | | | | | | | | REDUCE: (2805), (2810) imply:
% 51.59/12.96 | | | | | | | | | | | | | | | (2811) $false
% 51.59/12.96 | | | | | | | | | | | | | | |
% 51.59/12.96 | | | | | | | | | | | | | | | CLOSE: (2811) is inconsistent.
% 51.59/12.96 | | | | | | | | | | | | | | |
% 51.59/12.96 | | | | | | | | | | | | | | Case 2:
% 51.59/12.96 | | | | | | | | | | | | | | |
% 51.59/12.96 | | | | | | | | | | | | | | | (2812) ~ (all_22_1 = e21)
% 51.59/12.96 | | | | | | | | | | | | | | | (2813) all_22_1 = e23 | all_22_1 = e22 | all_22_1 = e20
% 51.59/12.96 | | | | | | | | | | | | | | |
% 51.59/12.96 | | | | | | | | | | | | | | | BETA: splitting (340) gives:
% 51.59/12.96 | | | | | | | | | | | | | | |
% 51.59/12.96 | | | | | | | | | | | | | | | Case 1:
% 51.59/12.96 | | | | | | | | | | | | | | | |
% 51.59/12.96 | | | | | | | | | | | | | | | | (2814) all_24_1 = e20
% 51.59/12.96 | | | | | | | | | | | | | | | |
% 51.59/12.96 | | | | | | | | | | | | | | | | REF_CLOSE: (589), (2324), (2814) are inconsistent by
% 51.59/12.96 | | | | | | | | | | | | | | | | sub-proof #18.
% 51.59/12.96 | | | | | | | | | | | | | | | |
% 51.59/12.96 | | | | | | | | | | | | | | | Case 2:
% 51.59/12.96 | | | | | | | | | | | | | | | |
% 51.59/12.96 | | | | | | | | | | | | | | | | (2815) all_24_3 = e20 | all_24_7 = e20 | all_24_13 = e20
% 51.59/12.96 | | | | | | | | | | | | | | | |
% 51.59/12.96 | | | | | | | | | | | | | | | | BETA: splitting (305) gives:
% 51.59/12.96 | | | | | | | | | | | | | | | |
% 51.59/12.96 | | | | | | | | | | | | | | | | Case 1:
% 51.59/12.96 | | | | | | | | | | | | | | | | |
% 51.59/12.96 | | | | | | | | | | | | | | | | | (2816) all_22_8 = e21
% 51.59/12.96 | | | | | | | | | | | | | | | | |
% 51.59/12.96 | | | | | | | | | | | | | | | | | REF_CLOSE: (687), (2804), (2816) are inconsistent by
% 51.59/12.96 | | | | | | | | | | | | | | | | | sub-proof #51.
% 51.59/12.96 | | | | | | | | | | | | | | | | |
% 51.59/12.96 | | | | | | | | | | | | | | | | Case 2:
% 51.59/12.96 | | | | | | | | | | | | | | | | |
% 51.59/12.96 | | | | | | | | | | | | | | | | | (2817) ~ (all_22_8 = e21)
% 51.59/12.96 | | | | | | | | | | | | | | | | | (2818) all_22_8 = e23 | all_22_8 = e22 | all_22_8 = e20
% 51.59/12.96 | | | | | | | | | | | | | | | | |
% 51.59/12.96 | | | | | | | | | | | | | | | | | BETA: splitting (2818) gives:
% 51.59/12.96 | | | | | | | | | | | | | | | | |
% 51.59/12.96 | | | | | | | | | | | | | | | | | Case 1:
% 51.59/12.96 | | | | | | | | | | | | | | | | | |
% 51.59/12.96 | | | | | | | | | | | | | | | | | | (2819) all_22_8 = e22
% 51.59/12.96 | | | | | | | | | | | | | | | | | |
% 51.59/12.96 | | | | | | | | | | | | | | | | | | REF_CLOSE: (687), (800), (2819) are inconsistent by sub-proof
% 51.59/12.96 | | | | | | | | | | | | | | | | | | #17.
% 51.59/12.96 | | | | | | | | | | | | | | | | | |
% 51.59/12.96 | | | | | | | | | | | | | | | | | Case 2:
% 51.59/12.96 | | | | | | | | | | | | | | | | | |
% 51.59/12.96 | | | | | | | | | | | | | | | | | | (2820) all_22_8 = e23 | all_22_8 = e20
% 51.59/12.96 | | | | | | | | | | | | | | | | | |
% 51.59/12.96 | | | | | | | | | | | | | | | | | | BETA: splitting (2820) gives:
% 51.59/12.96 | | | | | | | | | | | | | | | | | |
% 51.59/12.96 | | | | | | | | | | | | | | | | | | Case 1:
% 51.59/12.96 | | | | | | | | | | | | | | | | | | |
% 51.59/12.96 | | | | | | | | | | | | | | | | | | | (2821) all_22_8 = e23
% 51.59/12.96 | | | | | | | | | | | | | | | | | | |
% 51.59/12.96 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (687), (801), (2821) are inconsistent by sub-proof
% 51.59/12.96 | | | | | | | | | | | | | | | | | | | #16.
% 51.59/12.96 | | | | | | | | | | | | | | | | | | |
% 51.59/12.96 | | | | | | | | | | | | | | | | | | Case 2:
% 51.59/12.96 | | | | | | | | | | | | | | | | | | |
% 51.59/12.96 | | | | | | | | | | | | | | | | | | | (2822) all_22_8 = e20
% 51.59/12.96 | | | | | | | | | | | | | | | | | | |
% 51.59/12.96 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (687), (2822) imply:
% 51.59/12.96 | | | | | | | | | | | | | | | | | | | (2823) all_14_2 = e20
% 51.59/12.96 | | | | | | | | | | | | | | | | | | |
% 51.59/12.96 | | | | | | | | | | | | | | | | | | | SIMP: (2823) implies:
% 51.59/12.96 | | | | | | | | | | | | | | | | | | | (2824) all_14_2 = e20
% 51.59/12.96 | | | | | | | | | | | | | | | | | | |
% 51.59/12.96 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (566), (2824) imply:
% 51.59/12.96 | | | | | | | | | | | | | | | | | | | (2825) all_24_6 = e20
% 51.59/12.96 | | | | | | | | | | | | | | | | | | |
% 51.59/12.96 | | | | | | | | | | | | | | | | | | | REDUCE: (789), (2824) imply:
% 51.59/12.96 | | | | | | | | | | | | | | | | | | | (2826) ~ (all_8_1 = e20)
% 51.59/12.96 | | | | | | | | | | | | | | | | | | |
% 51.59/12.96 | | | | | | | | | | | | | | | | | | | SIMP: (2826) implies:
% 51.59/12.96 | | | | | | | | | | | | | | | | | | | (2827) ~ (all_8_1 = e20)
% 51.59/12.96 | | | | | | | | | | | | | | | | | | |
% 51.59/12.96 | | | | | | | | | | | | | | | | | | | REDUCE: (801), (2824) imply:
% 51.59/12.96 | | | | | | | | | | | | | | | | | | | (2828) ~ (e23 = e20)
% 51.59/12.96 | | | | | | | | | | | | | | | | | | |
% 51.59/12.96 | | | | | | | | | | | | | | | | | | | REDUCE: (2804), (2824) imply:
% 51.59/12.96 | | | | | | | | | | | | | | | | | | | (2829) ~ (e21 = e20)
% 51.59/12.96 | | | | | | | | | | | | | | | | | | |
% 51.59/12.96 | | | | | | | | | | | | | | | | | | | REDUCE: (915), (2824) imply:
% 51.59/12.96 | | | | | | | | | | | | | | | | | | | (2830) op2(e20, e20) = all_18_4
% 51.59/12.96 | | | | | | | | | | | | | | | | | | |
% 51.59/12.96 | | | | | | | | | | | | | | | | | | | BETA: splitting (2815) gives:
% 51.59/12.96 | | | | | | | | | | | | | | | | | | |
% 51.59/12.96 | | | | | | | | | | | | | | | | | | | Case 1:
% 51.59/12.96 | | | | | | | | | | | | | | | | | | | |
% 51.59/12.96 | | | | | | | | | | | | | | | | | | | | (2831) all_24_3 = e20
% 51.59/12.96 | | | | | | | | | | | | | | | | | | | |
% 51.59/12.96 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (577), (808), (2831) are inconsistent by sub-proof
% 51.59/12.96 | | | | | | | | | | | | | | | | | | | | #15.
% 51.59/12.96 | | | | | | | | | | | | | | | | | | | |
% 51.59/12.96 | | | | | | | | | | | | | | | | | | | Case 2:
% 51.59/12.96 | | | | | | | | | | | | | | | | | | | |
% 51.59/12.96 | | | | | | | | | | | | | | | | | | | | (2832) all_24_7 = e20 | all_24_13 = e20
% 51.59/12.96 | | | | | | | | | | | | | | | | | | | |
% 51.59/12.96 | | | | | | | | | | | | | | | | | | | | BETA: splitting (2832) gives:
% 51.59/12.96 | | | | | | | | | | | | | | | | | | | |
% 51.59/12.96 | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.59/12.96 | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | (2833) all_24_7 = e20
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (2803), (2833) are inconsistent by sub-proof
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | #14.
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | (2834) all_24_13 = e20
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (774), (2834) imply:
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | (2835) all_14_7 = e20
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | REDUCE: (807), (2835) imply:
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | (2836) ~ (all_6_1 = e20)
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | REDUCE: (2636), (2835) imply:
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | (2837) op2(e20, e20) = e20
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (342) gives:
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | (2838) all_24_1 = e23
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (589), (2765), (2838) are inconsistent by
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | sub-proof #13.
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | (2839) ~ (all_24_1 = e23)
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | (2840) all_24_3 = e23 | all_24_7 = e23 | all_24_13 = e23
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (344) gives:
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | (2841) all_24_0 = e21
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (593), (2841) imply:
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | (2842) all_8_1 = e21
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2842) implies:
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | (2843) all_8_1 = e21
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (49), (2843) imply:
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | (2844) op2(e23, e23) = e21
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (346) gives:
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | (2845) all_24_0 = e22
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2841), (2845) imply:
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | (2846) e22 = e21
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (12), (2846) imply:
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | (2847) $false
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2847) is inconsistent.
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | (2848) all_24_2 = e22 | all_24_6 = e22 | all_24_12 = e22
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2848) gives:
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | | (2849) all_24_2 = e22
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (580), (2849) imply:
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | | (2850) all_14_1 = e22
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2850) implies:
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | | (2851) all_14_1 = e22
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (798), (2851) imply:
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | | (2852) ~ (all_6_1 = e22)
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2852) implies:
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | | (2853) ~ (all_6_1 = e22)
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (307) gives:
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (2854) all_22_5 = e21
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (14), (339), (569), (573), (577), (681),
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (827), (2798), (2849), (2854) are inconsistent by
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #12.
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (2855) ~ (all_22_5 = e21)
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | | | (2856) all_22_5 = e23 | all_22_5 = e22 | all_22_5 = e20
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (332) gives:
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2857) all_24_12 = e23
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (551), (2857) imply:
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2858) all_14_3 = e23
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2858) implies:
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2859) all_14_3 = e23
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (916), (2859) imply:
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2860) op2(e23, e23) = all_18_6
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2840) gives:
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2861) all_24_3 = e23
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (577), (2861) imply:
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2862) all_6_1 = e23
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2862) implies:
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2863) all_6_1 = e23
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2637), (2863) imply:
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2864) op2(e23, e23) = e22
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (33) with e22, all_18_4, e20, e20,
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2799), (2830) gives:
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2865) all_18_4 = e22
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (33) with e20, all_18_4, e20, e20,
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2830), (2837) gives:
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2866) all_18_4 = e20
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (33) with e22, all_18_6, e23, e23,
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2860), (2864) gives:
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2867) all_18_6 = e22
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (33) with e21, all_18_6, e23, e23,
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2844), (2860) gives:
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2868) all_18_6 = e21
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2865), (2866) imply:
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2869) e22 = e20
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2869) implies:
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2870) e22 = e20
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (2867), (2868), (2870) are inconsistent by
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2.
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | (2871) ~ (all_24_3 = e23)
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (577), (681), (808), (2853), (2856), (2871) are
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #11.
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2872) all_24_13 = e23 | all_24_14 = e23 | all_24_15 =
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | e23
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (339), (569), (573), (577), (681), (808),
% 51.59/12.97 | | | | | | | | | | | | | | | | | | | | | | | | | | | (827), (2774), (2794), (2808), (2834), (2840),
% 51.59/12.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | (2849), (2853), (2856), (2872) are inconsistent by
% 51.59/12.98 | | | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #10.
% 51.59/12.98 | | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.98 | | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.59/12.98 | | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.98 | | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.59/12.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.98 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.59/12.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.98 | | | | | | | | | | | | | | | | | | | | | | | | | (2873) all_24_6 = e22 | all_24_12 = e22
% 51.59/12.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.98 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (551), (817), (2795), (2825), (2873) are
% 51.59/12.98 | | | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #9.
% 51.59/12.98 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.98 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.59/12.98 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.98 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.59/12.98 | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.98 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.59/12.98 | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.98 | | | | | | | | | | | | | | | | | | | | | | | (2874) ~ (all_24_0 = e21)
% 51.59/12.98 | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.98 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (13), (339), (345), (346), (551), (569),
% 51.59/12.98 | | | | | | | | | | | | | | | | | | | | | | | (573), (577), (589), (593), (676), (793), (808),
% 51.59/12.98 | | | | | | | | | | | | | | | | | | | | | | | (827), (2321), (2324), (2764), (2765), (2795),
% 51.59/12.98 | | | | | | | | | | | | | | | | | | | | | | | (2805), (2808), (2813), (2825), (2874) are
% 51.59/12.98 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #7.
% 51.59/12.98 | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.98 | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.59/12.98 | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.98 | | | | | | | | | | | | | | | | | | | | | End of split
% 51.59/12.98 | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.98 | | | | | | | | | | | | | | | | | | | | End of split
% 51.59/12.98 | | | | | | | | | | | | | | | | | | | |
% 51.59/12.98 | | | | | | | | | | | | | | | | | | | End of split
% 51.59/12.98 | | | | | | | | | | | | | | | | | | |
% 51.59/12.98 | | | | | | | | | | | | | | | | | | End of split
% 51.59/12.98 | | | | | | | | | | | | | | | | | |
% 51.59/12.98 | | | | | | | | | | | | | | | | | End of split
% 51.59/12.98 | | | | | | | | | | | | | | | | |
% 51.59/12.98 | | | | | | | | | | | | | | | | End of split
% 51.59/12.98 | | | | | | | | | | | | | | | |
% 51.59/12.98 | | | | | | | | | | | | | | | End of split
% 51.59/12.98 | | | | | | | | | | | | | | |
% 51.59/12.98 | | | | | | | | | | | | | | End of split
% 51.59/12.98 | | | | | | | | | | | | | |
% 51.59/12.98 | | | | | | | | | | | | | Case 2:
% 51.59/12.98 | | | | | | | | | | | | | |
% 51.59/12.98 | | | | | | | | | | | | | | (2875) ~ (all_22_9 = e21)
% 51.59/12.98 | | | | | | | | | | | | | | (2876) all_22_9 = e23 | all_22_9 = e22 | all_22_9 = e20
% 51.59/12.98 | | | | | | | | | | | | | |
% 51.59/12.98 | | | | | | | | | | | | | | REDUCE: (689), (2875) imply:
% 51.59/12.98 | | | | | | | | | | | | | | (2877) ~ (all_14_6 = e21)
% 51.59/12.98 | | | | | | | | | | | | | |
% 51.59/12.98 | | | | | | | | | | | | | | BETA: splitting (2876) gives:
% 51.59/12.98 | | | | | | | | | | | | | |
% 51.59/12.98 | | | | | | | | | | | | | | Case 1:
% 51.59/12.98 | | | | | | | | | | | | | | |
% 51.59/12.98 | | | | | | | | | | | | | | | (2878) all_22_9 = e22
% 51.59/12.98 | | | | | | | | | | | | | | |
% 51.59/12.98 | | | | | | | | | | | | | | | COMBINE_EQS: (689), (2878) imply:
% 51.59/12.98 | | | | | | | | | | | | | | | (2879) all_14_6 = e22
% 51.59/12.98 | | | | | | | | | | | | | | |
% 51.59/12.98 | | | | | | | | | | | | | | | REDUCE: (811), (2879) imply:
% 51.59/12.98 | | | | | | | | | | | | | | | (2880) $false
% 51.59/12.98 | | | | | | | | | | | | | | |
% 51.59/12.98 | | | | | | | | | | | | | | | CLOSE: (2880) is inconsistent.
% 51.59/12.98 | | | | | | | | | | | | | | |
% 51.59/12.98 | | | | | | | | | | | | | | Case 2:
% 51.59/12.98 | | | | | | | | | | | | | | |
% 51.59/12.98 | | | | | | | | | | | | | | | (2881) ~ (all_22_9 = e22)
% 51.59/12.98 | | | | | | | | | | | | | | | (2882) all_22_9 = e23 | all_22_9 = e20
% 51.59/12.98 | | | | | | | | | | | | | | |
% 51.59/12.98 | | | | | | | | | | | | | | | BETA: splitting (2882) gives:
% 51.59/12.98 | | | | | | | | | | | | | | |
% 51.59/12.98 | | | | | | | | | | | | | | | Case 1:
% 51.59/12.98 | | | | | | | | | | | | | | | |
% 51.59/12.98 | | | | | | | | | | | | | | | | (2883) all_22_9 = e23
% 51.59/12.98 | | | | | | | | | | | | | | | |
% 51.59/12.98 | | | | | | | | | | | | | | | | COMBINE_EQS: (689), (2883) imply:
% 51.59/12.98 | | | | | | | | | | | | | | | | (2884) all_14_6 = e23
% 51.59/12.98 | | | | | | | | | | | | | | | |
% 51.59/12.98 | | | | | | | | | | | | | | | | REDUCE: (812), (2884) imply:
% 51.59/12.98 | | | | | | | | | | | | | | | | (2885) $false
% 51.59/12.98 | | | | | | | | | | | | | | | |
% 51.59/12.98 | | | | | | | | | | | | | | | | CLOSE: (2885) is inconsistent.
% 51.59/12.98 | | | | | | | | | | | | | | | |
% 51.59/12.98 | | | | | | | | | | | | | | | Case 2:
% 51.59/12.98 | | | | | | | | | | | | | | | |
% 51.59/12.98 | | | | | | | | | | | | | | | | (2886) all_22_9 = e20
% 51.59/12.98 | | | | | | | | | | | | | | | |
% 51.59/12.98 | | | | | | | | | | | | | | | | COMBINE_EQS: (689), (2886) imply:
% 51.59/12.98 | | | | | | | | | | | | | | | | (2887) all_14_6 = e20
% 51.59/12.98 | | | | | | | | | | | | | | | |
% 51.59/12.98 | | | | | | | | | | | | | | | | REDUCE: (146), (2887) imply:
% 51.59/12.98 | | | | | | | | | | | | | | | | (2888) ~ (all_14_7 = e20)
% 51.59/12.98 | | | | | | | | | | | | | | | |
% 51.59/12.98 | | | | | | | | | | | | | | | | SIMP: (2888) implies:
% 51.59/12.98 | | | | | | | | | | | | | | | | (2889) ~ (all_14_7 = e20)
% 51.59/12.98 | | | | | | | | | | | | | | | |
% 51.59/12.98 | | | | | | | | | | | | | | | | REDUCE: (812), (2887) imply:
% 51.59/12.98 | | | | | | | | | | | | | | | | (2890) ~ (e23 = e20)
% 51.59/12.98 | | | | | | | | | | | | | | | |
% 51.59/12.98 | | | | | | | | | | | | | | | | REDUCE: (2877), (2887) imply:
% 51.59/12.98 | | | | | | | | | | | | | | | | (2891) ~ (e21 = e20)
% 51.59/12.98 | | | | | | | | | | | | | | | |
% 51.59/12.98 | | | | | | | | | | | | | | | | REDUCE: (2635), (2887) imply:
% 51.59/12.98 | | | | | | | | | | | | | | | | (2892) op2(e20, e20) = e21
% 51.59/12.98 | | | | | | | | | | | | | | | |
% 51.59/12.98 | | | | | | | | | | | | | | | | BETA: splitting (302) gives:
% 51.59/12.98 | | | | | | | | | | | | | | | |
% 51.59/12.98 | | | | | | | | | | | | | | | | Case 1:
% 51.59/12.98 | | | | | | | | | | | | | | | | |
% 51.59/12.98 | | | | | | | | | | | | | | | | | (2893) all_22_13 = e21
% 51.59/12.98 | | | | | | | | | | | | | | | | |
% 51.59/12.98 | | | | | | | | | | | | | | | | | COMBINE_EQS: (546), (2893) imply:
% 51.59/12.98 | | | | | | | | | | | | | | | | | (2894) all_14_7 = e21
% 51.59/12.98 | | | | | | | | | | | | | | | | |
% 51.59/12.98 | | | | | | | | | | | | | | | | | SIMP: (2894) implies:
% 51.59/12.98 | | | | | | | | | | | | | | | | | (2895) all_14_7 = e21
% 51.59/12.98 | | | | | | | | | | | | | | | | |
% 51.59/12.98 | | | | | | | | | | | | | | | | | REDUCE: (2776), (2895) imply:
% 51.59/12.98 | | | | | | | | | | | | | | | | | (2896) $false
% 51.59/12.98 | | | | | | | | | | | | | | | | |
% 51.59/12.98 | | | | | | | | | | | | | | | | | CLOSE: (2896) is inconsistent.
% 51.59/12.98 | | | | | | | | | | | | | | | | |
% 51.59/12.98 | | | | | | | | | | | | | | | | Case 2:
% 51.59/12.98 | | | | | | | | | | | | | | | | |
% 51.59/12.98 | | | | | | | | | | | | | | | | | (2897) all_22_13 = e23 | all_22_13 = e22 | all_22_13 =
% 51.59/12.98 | | | | | | | | | | | | | | | | | e20
% 51.59/12.98 | | | | | | | | | | | | | | | | |
% 51.59/12.98 | | | | | | | | | | | | | | | | | BETA: splitting (312) gives:
% 51.59/12.98 | | | | | | | | | | | | | | | | |
% 51.59/12.98 | | | | | | | | | | | | | | | | | Case 1:
% 51.59/12.98 | | | | | | | | | | | | | | | | | |
% 51.59/12.98 | | | | | | | | | | | | | | | | | | (2898) all_22_0 = e21
% 51.59/12.98 | | | | | | | | | | | | | | | | | |
% 51.59/12.98 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (675), (2898) imply:
% 51.59/12.98 | | | | | | | | | | | | | | | | | | (2899) all_8_1 = e21
% 51.59/12.98 | | | | | | | | | | | | | | | | | |
% 51.59/12.98 | | | | | | | | | | | | | | | | | | COMBINE_EQS: (593), (2899) imply:
% 51.59/12.98 | | | | | | | | | | | | | | | | | | (2900) all_24_0 = e21
% 51.59/12.98 | | | | | | | | | | | | | | | | | |
% 51.59/12.98 | | | | | | | | | | | | | | | | | | BETA: splitting (2319) gives:
% 51.59/12.98 | | | | | | | | | | | | | | | | | |
% 51.59/12.98 | | | | | | | | | | | | | | | | | | Case 1:
% 51.59/12.98 | | | | | | | | | | | | | | | | | | |
% 51.59/12.98 | | | | | | | | | | | | | | | | | | | (2901) all_24_12 = e20
% 51.59/12.98 | | | | | | | | | | | | | | | | | | |
% 51.59/12.98 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (551), (2901) imply:
% 51.59/12.98 | | | | | | | | | | | | | | | | | | | (2902) all_14_3 = e20
% 51.59/12.98 | | | | | | | | | | | | | | | | | | |
% 51.59/12.98 | | | | | | | | | | | | | | | | | | | SIMP: (2902) implies:
% 51.59/12.98 | | | | | | | | | | | | | | | | | | | (2903) all_14_3 = e20
% 51.59/12.98 | | | | | | | | | | | | | | | | | | |
% 51.59/12.98 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (12), (13), (14), (346), (347), (566), (800),
% 51.59/12.98 | | | | | | | | | | | | | | | | | | | (801), (817), (2798), (2900), (2901) are
% 51.59/12.98 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #35.
% 51.59/12.98 | | | | | | | | | | | | | | | | | | |
% 51.59/12.98 | | | | | | | | | | | | | | | | | | Case 2:
% 51.59/12.98 | | | | | | | | | | | | | | | | | | |
% 51.59/12.98 | | | | | | | | | | | | | | | | | | | (2904) all_24_13 = e20 | all_24_14 = e20
% 51.59/12.98 | | | | | | | | | | | | | | | | | | |
% 51.59/12.98 | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (774), (2774), (2889), (2904) are
% 51.59/12.98 | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1.
% 51.59/12.98 | | | | | | | | | | | | | | | | | | |
% 51.59/12.98 | | | | | | | | | | | | | | | | | | End of split
% 51.59/12.98 | | | | | | | | | | | | | | | | | |
% 51.59/12.98 | | | | | | | | | | | | | | | | | Case 2:
% 51.59/12.98 | | | | | | | | | | | | | | | | | |
% 51.59/12.98 | | | | | | | | | | | | | | | | | | (2905) all_22_0 = e23 | all_22_0 = e22 | all_22_0 = e20
% 51.59/12.98 | | | | | | | | | | | | | | | | | |
% 51.59/12.98 | | | | | | | | | | | | | | | | | | BETA: splitting (2905) gives:
% 51.59/12.98 | | | | | | | | | | | | | | | | | |
% 51.59/12.98 | | | | | | | | | | | | | | | | | | Case 1:
% 51.59/12.98 | | | | | | | | | | | | | | | | | | |
% 51.59/12.98 | | | | | | | | | | | | | | | | | | | (2906) all_22_0 = e22
% 51.59/12.98 | | | | | | | | | | | | | | | | | | |
% 51.59/12.98 | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (675), (2906) imply:
% 51.59/12.98 | | | | | | | | | | | | | | | | | | | (2907) all_8_1 = e22
% 51.59/12.98 | | | | | | | | | | | | | | | | | | |
% 51.59/12.98 | | | | | | | | | | | | | | | | | | | REDUCE: (787), (2907) imply:
% 51.59/12.98 | | | | | | | | | | | | | | | | | | | (2908) ~ (all_14_1 = e22)
% 51.59/12.98 | | | | | | | | | | | | | | | | | | |
% 51.59/12.98 | | | | | | | | | | | | | | | | | | | REDUCE: (49), (2907) imply:
% 51.59/12.98 | | | | | | | | | | | | | | | | | | | (2909) op2(e23, e23) = e22
% 51.59/12.98 | | | | | | | | | | | | | | | | | | |
% 51.59/12.98 | | | | | | | | | | | | | | | | | | | BETA: splitting (2897) gives:
% 51.59/12.98 | | | | | | | | | | | | | | | | | | |
% 51.59/12.98 | | | | | | | | | | | | | | | | | | | Case 1:
% 51.59/12.98 | | | | | | | | | | | | | | | | | | | |
% 51.59/12.98 | | | | | | | | | | | | | | | | | | | | (2910) all_22_13 = e22
% 51.59/12.98 | | | | | | | | | | | | | | | | | | | |
% 51.59/12.98 | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (546), (2910) imply:
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | (2911) all_14_7 = e22
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | |
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | REDUCE: (2796), (2911) imply:
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | (2912) $false
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | |
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | CLOSE: (2912) is inconsistent.
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | |
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | Case 2:
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | |
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | (2913) all_22_13 = e23 | all_22_13 = e20
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | |
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | BETA: splitting (308) gives:
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | |
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | (2914) all_22_4 = e21
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (679), (2914) imply:
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | (2915) all_14_1 = e21
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | REDUCE: (2790), (2915) imply:
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | (2916) $false
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | CLOSE: (2916) is inconsistent.
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | (2917) all_22_4 = e23 | all_22_4 = e22 | all_22_4 = e20
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2917) gives:
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | (2918) all_22_4 = e22
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (679), (2918) imply:
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | (2919) all_14_1 = e22
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2908), (2919) imply:
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | (2920) $false
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2920) is inconsistent.
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | (2921) all_22_4 = e23 | all_22_4 = e20
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2319) gives:
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | | (2922) all_24_12 = e20
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (551), (2922) imply:
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | | (2923) all_14_3 = e20
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (916), (2923) imply:
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | | (2924) op2(e20, e20) = all_18_6
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2921) gives:
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | | | (2925) all_22_4 = e23
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (679), (2925) imply:
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | | | (2926) all_14_1 = e23
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2926) implies:
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | | | (2927) all_14_1 = e23
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (914), (2927) imply:
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | | | (2928) op2(e23, e23) = all_18_2
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | | | BETA: splitting (2913) gives:
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | | | Case 1:
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | | | | (2929) all_22_13 = e23
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (546), (2929) imply:
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | | | | (2930) all_14_7 = e23
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2930) implies:
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | | | | (2931) all_14_7 = e23
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2636), (2931) imply:
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | | | | (2932) op2(e23, e23) = e20
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (33) with e22, all_18_6, e20, e20,
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2799), (2924) gives:
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | | | | (2933) all_18_6 = e22
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (33) with e21, all_18_6, e20, e20,
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2892), (2924) gives:
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | | | | (2934) all_18_6 = e21
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (33) with e22, all_18_2, e23, e23,
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2909), (2928) gives:
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | | | | (2935) all_18_2 = e22
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | | | | GROUND_INST: instantiating (33) with e20, all_18_2, e23, e23,
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | | | | simplifying with (2928), (2932) gives:
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | | | | (2936) all_18_2 = e20
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (2935), (2936) imply:
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | | | | (2937) e22 = e20
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (2933), (2934), (2937) are inconsistent by
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | | | | sub-proof #2.
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | | | | (2938) all_22_13 = e20
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | | | | COMBINE_EQS: (546), (2938) imply:
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | | | | (2939) all_14_7 = e20
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | | | | SIMP: (2939) implies:
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | | | | (2940) all_14_7 = e20
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | | | | REDUCE: (2889), (2940) imply:
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | | | | (2941) $false
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | | | | CLOSE: (2941) is inconsistent.
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | | | (2942) all_22_4 = e20
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (679), (799), (2942) are inconsistent by sub-proof
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | | | #64.
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | Case 2:
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | | (2943) all_24_13 = e20 | all_24_14 = e20
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (774), (2774), (2889), (2943) are
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1.
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | | End of split
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | | End of split
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | |
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | End of split
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | |
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | End of split
% 51.59/12.99 | | | | | | | | | | | | | | | | | | |
% 51.59/12.99 | | | | | | | | | | | | | | | | | | Case 2:
% 51.59/12.99 | | | | | | | | | | | | | | | | | | |
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | (2944) ~ (all_22_0 = e22)
% 51.59/12.99 | | | | | | | | | | | | | | | | | | |
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | REDUCE: (675), (2944) imply:
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | (2945) ~ (all_8_1 = e22)
% 51.59/12.99 | | | | | | | | | | | | | | | | | | |
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | BETA: splitting (2319) gives:
% 51.59/12.99 | | | | | | | | | | | | | | | | | | |
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | Case 1:
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | |
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | (2946) all_24_12 = e20
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | |
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (13), (346), (347), (566), (593), (800), (801),
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | (817), (2769), (2798), (2945), (2946) are
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #3.
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | |
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | Case 2:
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | |
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | (2947) all_24_13 = e20 | all_24_14 = e20
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | |
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | REF_CLOSE: (11), (774), (2774), (2889), (2947) are
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | | inconsistent by sub-proof #1.
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | |
% 51.59/12.99 | | | | | | | | | | | | | | | | | | | End of split
% 51.59/12.99 | | | | | | | | | | | | | | | | | | |
% 51.59/12.99 | | | | | | | | | | | | | | | | | | End of split
% 51.59/12.99 | | | | | | | | | | | | | | | | | |
% 51.59/12.99 | | | | | | | | | | | | | | | | | End of split
% 51.59/12.99 | | | | | | | | | | | | | | | | |
% 51.59/12.99 | | | | | | | | | | | | | | | | End of split
% 51.59/12.99 | | | | | | | | | | | | | | | |
% 51.59/12.99 | | | | | | | | | | | | | | | End of split
% 51.59/12.99 | | | | | | | | | | | | | | |
% 51.59/12.99 | | | | | | | | | | | | | | End of split
% 51.59/12.99 | | | | | | | | | | | | | |
% 51.59/12.99 | | | | | | | | | | | | | End of split
% 51.59/12.99 | | | | | | | | | | | | |
% 51.59/12.99 | | | | | | | | | | | | Case 2:
% 51.59/12.99 | | | | | | | | | | | | |
% 51.59/12.99 | | | | | | | | | | | | | (2948) all_22_15 = e23 | all_22_15 = e20
% 51.59/12.99 | | | | | | | | | | | | |
% 51.59/12.99 | | | | | | | | | | | | | REF_CLOSE: (770), (830), (2326), (2948) are inconsistent by
% 51.59/12.99 | | | | | | | | | | | | | sub-proof #6.
% 51.59/12.99 | | | | | | | | | | | | |
% 51.59/12.99 | | | | | | | | | | | | End of split
% 51.59/12.99 | | | | | | | | | | | |
% 51.59/12.99 | | | | | | | | | | | Case 2:
% 51.59/12.99 | | | | | | | | | | | |
% 51.59/12.99 | | | | | | | | | | | | (2949) ~ (all_24_10 = e21)
% 51.59/12.99 | | | | | | | | | | | |
% 51.59/12.99 | | | | | | | | | | | | REF_CLOSE: (12), (14), (555), (569), (770), (772), (830),
% 51.59/12.99 | | | | | | | | | | | | (2326), (2782), (2786), (2949) are inconsistent by
% 51.59/12.99 | | | | | | | | | | | | sub-proof #4.
% 51.59/12.99 | | | | | | | | | | | |
% 51.59/12.99 | | | | | | | | | | | End of split
% 51.59/12.99 | | | | | | | | | | |
% 51.59/12.99 | | | | | | | | | | End of split
% 51.59/12.99 | | | | | | | | | |
% 51.59/12.99 | | | | | | | | | End of split
% 51.59/12.99 | | | | | | | | |
% 51.59/13.00 | | | | | | | | Case 2:
% 51.59/13.00 | | | | | | | | |
% 51.59/13.00 | | | | | | | | | (2950) ~ (all_22_14 = e21)
% 51.59/13.00 | | | | | | | | |
% 51.59/13.00 | | | | | | | | | REDUCE: (543), (2950) imply:
% 51.59/13.00 | | | | | | | | | (2951) ~ (all_14_11 = e21)
% 51.59/13.00 | | | | | | | | |
% 51.59/13.00 | | | | | | | | | REF_CLOSE: (11), (12), (14), (336), (573), (773), (775),
% 51.59/13.00 | | | | | | | | | (2764), (2951) are inconsistent by sub-proof #74.
% 51.59/13.00 | | | | | | | | |
% 51.59/13.00 | | | | | | | | End of split
% 51.59/13.00 | | | | | | | |
% 51.59/13.00 | | | | | | | Case 2:
% 51.59/13.00 | | | | | | | |
% 51.59/13.00 | | | | | | | | (2952) all_22_2 = e20
% 51.59/13.00 | | | | | | | |
% 51.59/13.00 | | | | | | | | REF_CLOSE: (584), (814), (2952) are inconsistent by sub-proof
% 51.59/13.00 | | | | | | | | #73.
% 51.59/13.00 | | | | | | | |
% 51.59/13.00 | | | | | | | End of split
% 51.59/13.00 | | | | | | |
% 51.59/13.00 | | | | | | End of split
% 51.59/13.00 | | | | | |
% 51.59/13.00 | | | | | End of split
% 51.59/13.00 | | | | |
% 51.59/13.00 | | | | End of split
% 51.59/13.00 | | | |
% 51.59/13.00 | | | Case 2:
% 51.59/13.00 | | | |
% 51.59/13.00 | | | | (2953) (all_18_16 = e23 & all_18_18 = e22 & all_18_20 = e21 &
% 51.59/13.00 | | | | all_18_22 = e20) | (all_18_24 = e23 & all_18_26 = e22 &
% 51.59/13.00 | | | | all_18_28 = e21 & all_18_30 = e20)
% 51.59/13.00 | | | |
% 51.59/13.00 | | | | BETA: splitting (2953) gives:
% 51.59/13.00 | | | |
% 51.59/13.00 | | | | Case 1:
% 51.59/13.00 | | | | |
% 51.59/13.00 | | | | | (2954) all_18_16 = e23 & all_18_18 = e22 & all_18_20 = e21 &
% 51.59/13.00 | | | | | all_18_22 = e20
% 51.59/13.00 | | | | |
% 51.59/13.00 | | | | | ALPHA: (2954) implies:
% 51.59/13.00 | | | | | (2955) all_18_20 = e21
% 51.59/13.00 | | | | | (2956) all_18_18 = e22
% 51.59/13.00 | | | | |
% 51.59/13.00 | | | | | COMBINE_EQS: (975), (2956) imply:
% 51.59/13.00 | | | | | (2957) all_10_1 = e22
% 51.59/13.00 | | | | |
% 51.59/13.00 | | | | | COMBINE_EQS: (972), (2955) imply:
% 51.59/13.00 | | | | | (2958) all_6_1 = e21
% 51.59/13.00 | | | | |
% 51.59/13.00 | | | | | SIMP: (2958) implies:
% 51.59/13.00 | | | | | (2959) all_6_1 = e21
% 51.59/13.00 | | | | |
% 51.59/13.00 | | | | | COMBINE_EQS: (772), (2957) imply:
% 51.59/13.00 | | | | | (2960) all_24_15 = e22
% 51.59/13.00 | | | | |
% 51.59/13.00 | | | | | REDUCE: (810), (2959) imply:
% 51.59/13.00 | | | | | (2961) ~ (all_14_13 = e21)
% 51.59/13.00 | | | | |
% 51.59/13.00 | | | | | BETA: splitting (333) gives:
% 51.59/13.00 | | | | |
% 51.59/13.00 | | | | | Case 1:
% 51.59/13.00 | | | | | |
% 51.59/13.00 | | | | | | (2962) all_24_9 = e21
% 51.59/13.00 | | | | | |
% 51.59/13.00 | | | | | | COMBINE_EQS: (2321), (2962) imply:
% 51.59/13.00 | | | | | | (2963) e21 = e20
% 51.59/13.00 | | | | | |
% 51.59/13.00 | | | | | | REDUCE: (11), (2963) imply:
% 51.59/13.00 | | | | | | (2964) $false
% 51.59/13.00 | | | | | |
% 51.59/13.00 | | | | | | CLOSE: (2964) is inconsistent.
% 51.59/13.00 | | | | | |
% 51.59/13.00 | | | | | Case 2:
% 51.59/13.00 | | | | | |
% 51.59/13.00 | | | | | | (2965) all_24_10 = e21 | all_24_11 = e21 | all_24_15 = e21
% 51.59/13.00 | | | | | |
% 51.59/13.00 | | | | | | REF_CLOSE: (12), (14), (555), (569), (2960), (2961), (2965) are
% 51.59/13.00 | | | | | | inconsistent by sub-proof #5.
% 51.59/13.00 | | | | | |
% 51.59/13.00 | | | | | End of split
% 51.59/13.00 | | | | |
% 51.59/13.00 | | | | Case 2:
% 51.59/13.00 | | | | |
% 51.59/13.00 | | | | | (2966) all_18_24 = e23 & all_18_26 = e22 & all_18_28 = e21 &
% 51.59/13.00 | | | | | all_18_30 = e20
% 51.59/13.00 | | | | |
% 51.59/13.00 | | | | | ALPHA: (2966) implies:
% 51.59/13.00 | | | | | (2967) all_18_24 = e23
% 51.59/13.00 | | | | |
% 51.59/13.00 | | | | | COMBINE_EQS: (2328), (2967) imply:
% 51.59/13.00 | | | | | (2968) all_10_1 = e23
% 51.59/13.00 | | | | |
% 51.59/13.00 | | | | | SIMP: (2968) implies:
% 51.59/13.00 | | | | | (2969) all_10_1 = e23
% 51.59/13.00 | | | | |
% 51.59/13.00 | | | | | REDUCE: (830), (2969) imply:
% 51.59/13.00 | | | | | (2970) $false
% 51.59/13.00 | | | | |
% 51.59/13.00 | | | | | CLOSE: (2970) is inconsistent.
% 51.59/13.00 | | | | |
% 51.59/13.00 | | | | End of split
% 51.59/13.00 | | | |
% 51.59/13.00 | | | End of split
% 51.59/13.00 | | |
% 51.59/13.00 | | Case 2:
% 51.59/13.00 | | |
% 51.59/13.00 | | | (2971) all_24_10 = e20 | all_24_11 = e20
% 51.59/13.00 | | |
% 51.59/13.00 | | | BETA: splitting (2971) gives:
% 51.59/13.00 | | |
% 51.59/13.00 | | | Case 1:
% 51.59/13.00 | | | |
% 51.59/13.00 | | | | (2972) all_24_10 = e20
% 51.59/13.00 | | | |
% 51.59/13.00 | | | | COMBINE_EQS: (569), (2972) imply:
% 51.59/13.00 | | | | (2973) all_14_13 = e20
% 51.59/13.00 | | | |
% 51.59/13.00 | | | | SIMP: (2973) implies:
% 51.59/13.00 | | | | (2974) all_14_13 = e20
% 51.59/13.00 | | | |
% 51.59/13.00 | | | | REDUCE: (821), (2974) imply:
% 51.59/13.00 | | | | (2975) $false
% 51.59/13.00 | | | |
% 51.59/13.00 | | | | CLOSE: (2975) is inconsistent.
% 51.59/13.00 | | | |
% 51.59/13.00 | | | Case 2:
% 51.59/13.00 | | | |
% 51.59/13.00 | | | | (2976) all_24_11 = e20
% 51.59/13.00 | | | |
% 51.59/13.00 | | | | COMBINE_EQS: (555), (2976) imply:
% 51.59/13.00 | | | | (2977) e23 = e20
% 51.59/13.00 | | | |
% 51.59/13.00 | | | | SIMP: (2977) implies:
% 51.59/13.00 | | | | (2978) e23 = e20
% 51.59/13.00 | | | |
% 51.59/13.00 | | | | REDUCE: (13), (2978) imply:
% 51.59/13.00 | | | | (2979) $false
% 51.59/13.00 | | | |
% 51.59/13.00 | | | | CLOSE: (2979) is inconsistent.
% 51.59/13.00 | | | |
% 51.59/13.00 | | | End of split
% 51.59/13.00 | | |
% 51.59/13.00 | | End of split
% 51.59/13.00 | |
% 51.59/13.00 | End of split
% 51.59/13.00 |
% 51.59/13.00 End of proof
% 51.59/13.00
% 51.59/13.00 Sub-proof #1 shows that the following formulas are inconsistent:
% 51.59/13.00 ----------------------------------------------------------------
% 51.59/13.00 (1) all_24_13 = e20 | all_24_14 = e20
% 51.59/13.00 (2) all_24_14 = e21
% 51.59/13.00 (3) ~ (e21 = e20)
% 51.59/13.00 (4) all_24_13 = all_14_7
% 51.59/13.00 (5) ~ (all_14_7 = e20)
% 51.59/13.00
% 51.59/13.00 Begin of proof
% 51.59/13.00 |
% 51.59/13.00 | BETA: splitting (1) gives:
% 51.59/13.00 |
% 51.59/13.00 | Case 1:
% 51.59/13.00 | |
% 51.59/13.00 | | (6) all_24_13 = e20
% 51.59/13.00 | |
% 51.59/13.00 | | COMBINE_EQS: (4), (6) imply:
% 51.59/13.00 | | (7) all_14_7 = e20
% 51.59/13.00 | |
% 51.59/13.00 | | SIMP: (7) implies:
% 51.59/13.00 | | (8) all_14_7 = e20
% 51.59/13.00 | |
% 51.59/13.00 | | REDUCE: (5), (8) imply:
% 51.59/13.00 | | (9) $false
% 51.59/13.00 | |
% 51.59/13.00 | | CLOSE: (9) is inconsistent.
% 51.59/13.00 | |
% 51.59/13.00 | Case 2:
% 51.59/13.00 | |
% 51.59/13.00 | | (10) all_24_14 = e20
% 51.59/13.00 | |
% 51.59/13.00 | | COMBINE_EQS: (2), (10) imply:
% 51.59/13.00 | | (11) e21 = e20
% 51.59/13.00 | |
% 51.59/13.00 | | SIMP: (11) implies:
% 51.59/13.00 | | (12) e21 = e20
% 51.59/13.00 | |
% 51.59/13.00 | | REDUCE: (3), (12) imply:
% 51.59/13.00 | | (13) $false
% 51.59/13.00 | |
% 51.59/13.00 | | CLOSE: (13) is inconsistent.
% 51.59/13.00 | |
% 51.59/13.00 | End of split
% 51.59/13.00 |
% 51.59/13.01 End of proof
% 51.59/13.01
% 51.59/13.01 Sub-proof #2 shows that the following formulas are inconsistent:
% 51.59/13.01 ----------------------------------------------------------------
% 51.59/13.01 (1) all_18_6 = e22
% 51.59/13.01 (2) all_18_6 = e21
% 51.59/13.01 (3) e22 = e20
% 51.59/13.01 (4) ~ (e21 = e20)
% 51.59/13.01
% 51.59/13.01 Begin of proof
% 51.59/13.01 |
% 51.59/13.01 | COMBINE_EQS: (1), (2) imply:
% 51.59/13.01 | (5) e22 = e21
% 51.59/13.01 |
% 51.59/13.01 | SIMP: (5) implies:
% 51.59/13.01 | (6) e22 = e21
% 51.59/13.01 |
% 51.59/13.01 | COMBINE_EQS: (3), (6) imply:
% 51.59/13.01 | (7) e21 = e20
% 51.59/13.01 |
% 51.59/13.01 | REDUCE: (4), (7) imply:
% 51.59/13.01 | (8) $false
% 51.59/13.01 |
% 51.59/13.01 | CLOSE: (8) is inconsistent.
% 51.59/13.01 |
% 51.59/13.01 End of proof
% 51.59/13.01
% 51.59/13.01 Sub-proof #3 shows that the following formulas are inconsistent:
% 51.59/13.01 ----------------------------------------------------------------
% 51.59/13.01 (1) all_24_0 = e22 | all_24_2 = e22 | all_24_6 = e22 | all_24_12 = e22
% 51.59/13.01 (2) all_24_6 = all_14_2
% 51.59/13.01 (3) ~ (all_14_2 = e22)
% 51.59/13.01 (4) all_24_12 = e20
% 51.59/13.01 (5) ~ (all_8_1 = e23)
% 51.59/13.01 (6) all_24_0 = e23 | all_24_2 = e23 | all_24_6 = e23 | all_24_12 = e23
% 51.59/13.01 (7) ~ (all_14_2 = e23)
% 51.59/13.01 (8) ~ (all_8_1 = e22)
% 51.59/13.01 (9) all_24_0 = all_8_1
% 51.59/13.01 (10) ~ (e23 = e22)
% 51.59/13.01 (11) ~ (e23 = e20)
% 51.59/13.01 (12) ~ (e22 = e20)
% 51.59/13.01
% 51.59/13.01 Begin of proof
% 51.59/13.01 |
% 51.59/13.01 | BETA: splitting (6) gives:
% 51.59/13.01 |
% 51.59/13.01 | Case 1:
% 51.59/13.01 | |
% 51.59/13.01 | | (13) all_24_0 = e23
% 51.59/13.01 | |
% 51.59/13.01 | | COMBINE_EQS: (9), (13) imply:
% 51.59/13.01 | | (14) all_8_1 = e23
% 51.59/13.01 | |
% 51.59/13.01 | | SIMP: (14) implies:
% 51.59/13.01 | | (15) all_8_1 = e23
% 51.59/13.01 | |
% 51.59/13.01 | | REDUCE: (5), (15) imply:
% 51.59/13.01 | | (16) $false
% 51.59/13.01 | |
% 51.59/13.01 | | CLOSE: (16) is inconsistent.
% 51.59/13.01 | |
% 51.59/13.01 | Case 2:
% 51.59/13.01 | |
% 51.59/13.01 | | (17) all_24_2 = e23 | all_24_6 = e23 | all_24_12 = e23
% 51.59/13.01 | |
% 51.59/13.01 | | BETA: splitting (1) gives:
% 51.59/13.01 | |
% 51.59/13.01 | | Case 1:
% 51.59/13.01 | | |
% 51.59/13.01 | | | (18) all_24_0 = e22
% 51.59/13.01 | | |
% 51.59/13.01 | | | REF_CLOSE: (8), (9), (18) are inconsistent by sub-proof #8.
% 51.59/13.01 | | |
% 51.59/13.01 | | Case 2:
% 51.59/13.01 | | |
% 51.59/13.01 | | | (19) all_24_2 = e22 | all_24_6 = e22 | all_24_12 = e22
% 51.59/13.01 | | |
% 51.59/13.01 | | | REF_CLOSE: (2), (3), (4), (7), (10), (11), (12), (17), (19) are
% 51.59/13.01 | | | inconsistent by sub-proof #36.
% 51.59/13.01 | | |
% 51.59/13.01 | | End of split
% 51.59/13.01 | |
% 51.59/13.01 | End of split
% 51.59/13.01 |
% 51.59/13.01 End of proof
% 51.59/13.01
% 51.59/13.01 Sub-proof #4 shows that the following formulas are inconsistent:
% 51.59/13.01 ----------------------------------------------------------------
% 51.59/13.01 (1) ~ (all_10_1 = e23)
% 51.59/13.01 (2) all_24_10 = e21 | all_24_11 = e21 | all_24_15 = e21
% 51.59/13.01 (3) all_22_15 = all_10_1
% 51.59/13.01 (4) ~ (e22 = e21)
% 51.59/13.01 (5) all_22_15 = e23 | all_22_15 = e22 | all_22_15 = e20
% 51.59/13.01 (6) ~ (all_24_10 = e21)
% 51.59/13.01 (7) all_24_10 = all_14_13
% 51.59/13.01 (8) all_24_15 = all_10_1
% 51.59/13.01 (9) all_24_11 = e23
% 51.59/13.01 (10) ~ (e23 = e21)
% 51.59/13.01 (11) ~ (all_10_1 = e20)
% 51.59/13.01
% 51.59/13.01 Begin of proof
% 51.59/13.01 |
% 51.59/13.01 | REDUCE: (6), (7) imply:
% 51.59/13.01 | (12) ~ (all_14_13 = e21)
% 51.59/13.01 |
% 51.59/13.01 | BETA: splitting (5) gives:
% 51.59/13.01 |
% 51.59/13.01 | Case 1:
% 51.59/13.01 | |
% 51.59/13.01 | | (13) all_22_15 = e22
% 51.59/13.01 | |
% 51.59/13.01 | | COMBINE_EQS: (3), (13) imply:
% 51.59/13.01 | | (14) all_10_1 = e22
% 51.59/13.01 | |
% 51.59/13.01 | | SIMP: (14) implies:
% 51.59/13.01 | | (15) all_10_1 = e22
% 51.59/13.01 | |
% 51.59/13.01 | | COMBINE_EQS: (8), (15) imply:
% 51.59/13.01 | | (16) all_24_15 = e22
% 51.59/13.01 | |
% 51.59/13.01 | | REF_CLOSE: (2), (4), (7), (9), (10), (12), (16) are inconsistent by
% 51.59/13.01 | | sub-proof #5.
% 51.59/13.01 | |
% 51.59/13.01 | Case 2:
% 51.59/13.01 | |
% 51.59/13.01 | | (17) all_22_15 = e23 | all_22_15 = e20
% 51.59/13.01 | |
% 51.59/13.01 | | REF_CLOSE: (1), (3), (11), (17) are inconsistent by sub-proof #6.
% 51.59/13.01 | |
% 51.59/13.01 | End of split
% 51.59/13.01 |
% 51.59/13.01 End of proof
% 51.59/13.01
% 51.59/13.01 Sub-proof #5 shows that the following formulas are inconsistent:
% 51.59/13.01 ----------------------------------------------------------------
% 51.59/13.01 (1) all_24_10 = e21 | all_24_11 = e21 | all_24_15 = e21
% 51.59/13.01 (2) ~ (e22 = e21)
% 51.59/13.01 (3) all_24_10 = all_14_13
% 51.59/13.01 (4) ~ (all_14_13 = e21)
% 51.59/13.01 (5) all_24_11 = e23
% 51.59/13.01 (6) ~ (e23 = e21)
% 51.59/13.01 (7) all_24_15 = e22
% 51.59/13.01
% 51.59/13.01 Begin of proof
% 51.59/13.01 |
% 51.59/13.01 | BETA: splitting (1) gives:
% 51.59/13.01 |
% 51.59/13.01 | Case 1:
% 51.59/13.01 | |
% 51.59/13.01 | | (8) all_24_10 = e21
% 51.59/13.01 | |
% 51.59/13.01 | | REF_CLOSE: (3), (4), (8) are inconsistent by sub-proof #34.
% 51.59/13.01 | |
% 51.59/13.01 | Case 2:
% 51.59/13.01 | |
% 51.59/13.01 | | (9) all_24_11 = e21 | all_24_15 = e21
% 51.59/13.01 | |
% 51.59/13.01 | | BETA: splitting (9) gives:
% 51.59/13.01 | |
% 51.59/13.01 | | Case 1:
% 51.59/13.01 | | |
% 51.59/13.01 | | | (10) all_24_11 = e21
% 51.59/13.01 | | |
% 51.59/13.01 | | | REF_CLOSE: (5), (6), (10) are inconsistent by sub-proof #59.
% 51.59/13.01 | | |
% 51.59/13.01 | | Case 2:
% 51.59/13.01 | | |
% 51.59/13.01 | | | (11) all_24_15 = e21
% 51.59/13.01 | | |
% 51.59/13.01 | | | COMBINE_EQS: (7), (11) imply:
% 51.59/13.01 | | | (12) e22 = e21
% 51.59/13.01 | | |
% 51.59/13.01 | | | SIMP: (12) implies:
% 51.59/13.01 | | | (13) e22 = e21
% 51.59/13.01 | | |
% 51.59/13.01 | | | REDUCE: (2), (13) imply:
% 51.59/13.01 | | | (14) $false
% 51.59/13.01 | | |
% 51.59/13.01 | | | CLOSE: (14) is inconsistent.
% 51.59/13.01 | | |
% 51.59/13.01 | | End of split
% 51.59/13.01 | |
% 51.59/13.01 | End of split
% 51.59/13.01 |
% 51.59/13.01 End of proof
% 51.59/13.01
% 51.59/13.01 Sub-proof #6 shows that the following formulas are inconsistent:
% 51.59/13.01 ----------------------------------------------------------------
% 51.59/13.02 (1) all_22_15 = e23 | all_22_15 = e20
% 51.59/13.02 (2) all_22_15 = all_10_1
% 51.59/13.02 (3) ~ (all_10_1 = e23)
% 51.59/13.02 (4) ~ (all_10_1 = e20)
% 51.59/13.02
% 51.59/13.02 Begin of proof
% 51.59/13.02 |
% 51.59/13.02 | BETA: splitting (1) gives:
% 51.59/13.02 |
% 51.59/13.02 | Case 1:
% 51.59/13.02 | |
% 51.59/13.02 | | (5) all_22_15 = e23
% 51.59/13.02 | |
% 51.59/13.02 | | COMBINE_EQS: (2), (5) imply:
% 51.59/13.02 | | (6) all_10_1 = e23
% 51.59/13.02 | |
% 51.59/13.02 | | SIMP: (6) implies:
% 51.59/13.02 | | (7) all_10_1 = e23
% 51.59/13.02 | |
% 51.59/13.02 | | REDUCE: (3), (7) imply:
% 51.59/13.02 | | (8) $false
% 51.59/13.02 | |
% 51.59/13.02 | | CLOSE: (8) is inconsistent.
% 51.59/13.02 | |
% 51.59/13.02 | Case 2:
% 51.59/13.02 | |
% 51.59/13.02 | | (9) all_22_15 = e20
% 51.59/13.02 | |
% 51.59/13.02 | | COMBINE_EQS: (2), (9) imply:
% 51.59/13.02 | | (10) all_10_1 = e20
% 51.59/13.02 | |
% 51.59/13.02 | | SIMP: (10) implies:
% 51.59/13.02 | | (11) all_10_1 = e20
% 51.59/13.02 | |
% 51.59/13.02 | | REDUCE: (4), (11) imply:
% 51.59/13.02 | | (12) $false
% 51.59/13.02 | |
% 51.59/13.02 | | CLOSE: (12) is inconsistent.
% 51.59/13.02 | |
% 51.59/13.02 | End of split
% 51.59/13.02 |
% 51.59/13.02 End of proof
% 51.59/13.02
% 51.59/13.02 Sub-proof #7 shows that the following formulas are inconsistent:
% 51.59/13.02 ----------------------------------------------------------------
% 51.59/13.02 (1) ~ (all_24_0 = e21)
% 51.59/13.02 (2) all_24_0 = e21 | all_24_1 = e21 | all_24_4 = e21 | all_24_9 = e21
% 51.59/13.02 (3) all_24_0 = e22 | all_24_2 = e22 | all_24_6 = e22 | all_24_12 = e22
% 51.59/13.02 (4) ~ (all_6_1 = e21)
% 51.59/13.02 (5) ~ (all_14_13 = e23)
% 51.59/13.02 (6) all_24_3 = all_6_1
% 51.59/13.02 (7) ~ (all_14_3 = e22)
% 51.59/13.02 (8) ~ (all_14_4 = all_8_1)
% 51.59/13.02 (9) ~ (all_6_1 = e20)
% 51.59/13.02 (10) all_24_6 = e20
% 51.59/13.02 (11) all_22_1 = all_14_4
% 51.59/13.02 (12) ~ (all_14_4 = e21)
% 51.59/13.02 (13) all_24_10 = all_14_13
% 51.59/13.02 (14) ~ (all_14_4 = e20)
% 51.59/13.02 (15) all_24_9 = e20
% 51.59/13.02 (16) all_24_12 = all_14_3
% 51.59/13.02 (17) ~ (all_14_4 = e23)
% 51.59/13.02 (18) all_24_1 = all_14_4
% 51.59/13.02 (19) all_24_0 = all_8_1
% 51.59/13.02 (20) all_24_4 = e23
% 51.59/13.02 (21) all_24_2 = e23 | all_24_3 = e23 | all_24_5 = e23 | all_24_10 = e23
% 51.59/13.02 (22) all_22_1 = e23 | all_22_1 = e22 | all_22_1 = e20
% 51.59/13.02 (23) ~ (e21 = e20)
% 51.59/13.02 (24) ~ (e23 = e20)
% 51.59/13.02 (25) all_24_5 = e20
% 51.59/13.02
% 51.59/13.02 Begin of proof
% 51.59/13.02 |
% 51.59/13.02 | REDUCE: (1), (19) imply:
% 51.59/13.02 | (26) ~ (all_8_1 = e21)
% 51.59/13.02 |
% 51.59/13.02 | BETA: splitting (22) gives:
% 51.59/13.02 |
% 51.59/13.02 | Case 1:
% 51.59/13.02 | |
% 51.59/13.02 | | (27) all_22_1 = e22
% 51.59/13.02 | |
% 51.59/13.02 | | COMBINE_EQS: (11), (27) imply:
% 51.59/13.02 | | (28) all_14_4 = e22
% 51.59/13.02 | |
% 51.59/13.02 | | SIMP: (28) implies:
% 51.59/13.02 | | (29) all_14_4 = e22
% 51.59/13.02 | |
% 51.59/13.02 | | COMBINE_EQS: (18), (29) imply:
% 51.59/13.02 | | (30) all_24_1 = e22
% 51.59/13.02 | |
% 51.59/13.02 | | REDUCE: (8), (29) imply:
% 51.59/13.02 | | (31) ~ (all_8_1 = e22)
% 51.59/13.02 | |
% 51.59/13.02 | | SIMP: (31) implies:
% 51.59/13.02 | | (32) ~ (all_8_1 = e22)
% 51.59/13.02 | |
% 51.59/13.02 | | REDUCE: (17), (29) imply:
% 51.59/13.02 | | (33) ~ (e23 = e22)
% 51.59/13.02 | |
% 51.59/13.02 | | SIMP: (33) implies:
% 51.59/13.02 | | (34) ~ (e23 = e22)
% 51.59/13.02 | |
% 51.59/13.02 | | REDUCE: (12), (29) imply:
% 51.59/13.02 | | (35) ~ (e22 = e21)
% 51.59/13.02 | |
% 51.59/13.02 | | REDUCE: (14), (29) imply:
% 51.59/13.02 | | (36) ~ (e22 = e20)
% 51.59/13.02 | |
% 51.59/13.02 | | BETA: splitting (2) gives:
% 51.59/13.02 | |
% 51.59/13.02 | | Case 1:
% 51.59/13.02 | | |
% 51.59/13.02 | | | (37) all_24_0 = e21
% 51.59/13.02 | | |
% 51.59/13.02 | | | REF_CLOSE: (19), (26), (37) are inconsistent by sub-proof #54.
% 51.59/13.02 | | |
% 51.59/13.02 | | Case 2:
% 51.59/13.02 | | |
% 51.59/13.02 | | | (38) all_24_1 = e21 | all_24_4 = e21 | all_24_9 = e21
% 51.59/13.02 | | |
% 51.59/13.02 | | | BETA: splitting (3) gives:
% 51.59/13.02 | | |
% 51.59/13.02 | | | Case 1:
% 51.59/13.02 | | | |
% 51.59/13.02 | | | | (39) all_24_0 = e22
% 51.59/13.02 | | | |
% 51.59/13.02 | | | | REF_CLOSE: (19), (32), (39) are inconsistent by sub-proof #8.
% 51.59/13.02 | | | |
% 51.59/13.02 | | | Case 2:
% 51.59/13.02 | | | |
% 51.59/13.02 | | | | (40) all_24_2 = e22 | all_24_6 = e22 | all_24_12 = e22
% 51.59/13.02 | | | |
% 51.59/13.02 | | | | BETA: splitting (40) gives:
% 51.59/13.02 | | | |
% 51.59/13.02 | | | | Case 1:
% 51.59/13.02 | | | | |
% 51.59/13.02 | | | | | (41) all_24_2 = e22
% 51.59/13.02 | | | | |
% 51.59/13.02 | | | | | BETA: splitting (21) gives:
% 51.59/13.02 | | | | |
% 51.59/13.02 | | | | | Case 1:
% 51.59/13.02 | | | | | |
% 51.59/13.02 | | | | | | (42) all_24_2 = e23
% 51.59/13.02 | | | | | |
% 51.59/13.02 | | | | | | COMBINE_EQS: (41), (42) imply:
% 51.59/13.02 | | | | | | (43) e23 = e22
% 51.59/13.02 | | | | | |
% 51.59/13.02 | | | | | | REDUCE: (34), (43) imply:
% 51.59/13.02 | | | | | | (44) $false
% 51.59/13.02 | | | | | |
% 51.59/13.02 | | | | | | CLOSE: (44) is inconsistent.
% 51.59/13.02 | | | | | |
% 51.59/13.02 | | | | | Case 2:
% 51.59/13.02 | | | | | |
% 51.59/13.02 | | | | | | (45) all_24_3 = e23 | all_24_5 = e23 | all_24_10 = e23
% 51.59/13.02 | | | | | |
% 51.59/13.02 | | | | | | BETA: splitting (45) gives:
% 51.59/13.02 | | | | | |
% 51.59/13.02 | | | | | | Case 1:
% 51.59/13.02 | | | | | | |
% 51.59/13.02 | | | | | | | (46) all_24_3 = e23
% 51.59/13.02 | | | | | | |
% 51.59/13.02 | | | | | | | COMBINE_EQS: (6), (46) imply:
% 51.59/13.02 | | | | | | | (47) all_6_1 = e23
% 51.59/13.02 | | | | | | |
% 51.59/13.02 | | | | | | | REDUCE: (4), (47) imply:
% 51.59/13.02 | | | | | | | (48) ~ (e23 = e21)
% 51.59/13.02 | | | | | | |
% 51.59/13.02 | | | | | | | BETA: splitting (38) gives:
% 51.59/13.02 | | | | | | |
% 51.59/13.02 | | | | | | | Case 1:
% 51.59/13.02 | | | | | | | |
% 51.59/13.02 | | | | | | | | (49) all_24_1 = e21
% 51.59/13.02 | | | | | | | |
% 51.59/13.02 | | | | | | | | COMBINE_EQS: (30), (49) imply:
% 51.59/13.02 | | | | | | | | (50) e22 = e21
% 51.59/13.02 | | | | | | | |
% 51.59/13.02 | | | | | | | | SIMP: (50) implies:
% 51.59/13.02 | | | | | | | | (51) e22 = e21
% 51.59/13.02 | | | | | | | |
% 51.59/13.02 | | | | | | | | REDUCE: (35), (51) imply:
% 51.59/13.02 | | | | | | | | (52) $false
% 51.59/13.02 | | | | | | | |
% 51.59/13.02 | | | | | | | | CLOSE: (52) is inconsistent.
% 51.59/13.02 | | | | | | | |
% 51.59/13.02 | | | | | | | Case 2:
% 51.59/13.02 | | | | | | | |
% 51.59/13.02 | | | | | | | | (53) all_24_4 = e21 | all_24_9 = e21
% 51.59/13.02 | | | | | | | |
% 51.59/13.02 | | | | | | | | BETA: splitting (53) gives:
% 51.59/13.02 | | | | | | | |
% 51.59/13.02 | | | | | | | | Case 1:
% 51.59/13.02 | | | | | | | | |
% 51.59/13.02 | | | | | | | | | (54) all_24_4 = e21
% 51.59/13.02 | | | | | | | | |
% 51.59/13.02 | | | | | | | | | COMBINE_EQS: (20), (54) imply:
% 51.59/13.02 | | | | | | | | | (55) e23 = e21
% 51.59/13.02 | | | | | | | | |
% 51.59/13.02 | | | | | | | | | SIMP: (55) implies:
% 51.59/13.03 | | | | | | | | | (56) e23 = e21
% 51.59/13.03 | | | | | | | | |
% 51.59/13.03 | | | | | | | | | COMBINE_EQS: (46), (56) imply:
% 51.59/13.03 | | | | | | | | | (57) all_24_3 = e21
% 51.59/13.03 | | | | | | | | |
% 51.59/13.03 | | | | | | | | | REF_CLOSE: (5), (13), (24), (25), (45), (48), (57) are
% 51.59/13.03 | | | | | | | | | inconsistent by sub-proof #56.
% 51.59/13.03 | | | | | | | | |
% 51.59/13.03 | | | | | | | | Case 2:
% 51.59/13.03 | | | | | | | | |
% 51.59/13.03 | | | | | | | | | (58) all_24_9 = e21
% 51.59/13.03 | | | | | | | | |
% 51.59/13.03 | | | | | | | | | COMBINE_EQS: (15), (58) imply:
% 51.59/13.03 | | | | | | | | | (59) e21 = e20
% 51.59/13.03 | | | | | | | | |
% 51.59/13.03 | | | | | | | | | SIMP: (59) implies:
% 51.59/13.03 | | | | | | | | | (60) e21 = e20
% 51.59/13.03 | | | | | | | | |
% 51.59/13.03 | | | | | | | | | REDUCE: (23), (60) imply:
% 51.59/13.03 | | | | | | | | | (61) $false
% 51.59/13.03 | | | | | | | | |
% 51.59/13.03 | | | | | | | | | CLOSE: (61) is inconsistent.
% 51.59/13.03 | | | | | | | | |
% 51.59/13.03 | | | | | | | | End of split
% 51.59/13.03 | | | | | | | |
% 51.59/13.03 | | | | | | | End of split
% 51.59/13.03 | | | | | | |
% 51.59/13.03 | | | | | | Case 2:
% 51.59/13.03 | | | | | | |
% 51.59/13.03 | | | | | | | (62) all_24_5 = e23 | all_24_10 = e23
% 51.59/13.03 | | | | | | |
% 51.59/13.03 | | | | | | | REF_CLOSE: (5), (13), (24), (25), (62) are inconsistent by
% 51.59/13.03 | | | | | | | sub-proof #57.
% 51.59/13.03 | | | | | | |
% 51.59/13.03 | | | | | | End of split
% 51.59/13.03 | | | | | |
% 51.59/13.03 | | | | | End of split
% 51.59/13.03 | | | | |
% 51.59/13.03 | | | | Case 2:
% 51.59/13.03 | | | | |
% 51.59/13.03 | | | | | (63) all_24_6 = e22 | all_24_12 = e22
% 51.59/13.03 | | | | |
% 51.59/13.03 | | | | | REF_CLOSE: (7), (10), (16), (36), (63) are inconsistent by sub-proof
% 51.59/13.03 | | | | | #9.
% 51.59/13.03 | | | | |
% 51.59/13.03 | | | | End of split
% 51.59/13.03 | | | |
% 51.59/13.03 | | | End of split
% 51.59/13.03 | | |
% 51.59/13.03 | | End of split
% 51.59/13.03 | |
% 51.59/13.03 | Case 2:
% 51.59/13.03 | |
% 51.59/13.03 | | (64) all_22_1 = e23 | all_22_1 = e20
% 51.59/13.03 | |
% 51.59/13.03 | | REF_CLOSE: (11), (14), (17), (64) are inconsistent by sub-proof #90.
% 51.59/13.03 | |
% 51.59/13.03 | End of split
% 51.59/13.03 |
% 51.59/13.03 End of proof
% 51.59/13.03
% 51.59/13.03 Sub-proof #8 shows that the following formulas are inconsistent:
% 51.59/13.03 ----------------------------------------------------------------
% 51.59/13.03 (1) all_24_0 = all_8_1
% 51.59/13.03 (2) all_24_0 = e22
% 51.59/13.03 (3) ~ (all_8_1 = e22)
% 51.59/13.03
% 51.59/13.03 Begin of proof
% 51.59/13.03 |
% 51.59/13.03 | COMBINE_EQS: (1), (2) imply:
% 51.59/13.03 | (4) all_8_1 = e22
% 51.59/13.03 |
% 51.59/13.03 | SIMP: (4) implies:
% 51.59/13.03 | (5) all_8_1 = e22
% 51.59/13.03 |
% 51.59/13.03 | REDUCE: (3), (5) imply:
% 51.59/13.03 | (6) $false
% 51.59/13.03 |
% 51.59/13.03 | CLOSE: (6) is inconsistent.
% 51.59/13.03 |
% 51.59/13.03 End of proof
% 51.59/13.03
% 51.59/13.03 Sub-proof #9 shows that the following formulas are inconsistent:
% 51.59/13.03 ----------------------------------------------------------------
% 51.59/13.03 (1) ~ (all_14_3 = e22)
% 51.59/13.03 (2) all_24_6 = e20
% 51.59/13.03 (3) all_24_12 = all_14_3
% 51.59/13.03 (4) all_24_6 = e22 | all_24_12 = e22
% 51.59/13.03 (5) ~ (e22 = e20)
% 51.59/13.03
% 51.59/13.03 Begin of proof
% 51.59/13.03 |
% 51.59/13.03 | BETA: splitting (4) gives:
% 51.59/13.03 |
% 51.59/13.03 | Case 1:
% 51.59/13.03 | |
% 51.59/13.03 | | (6) all_24_6 = e22
% 51.59/13.03 | |
% 51.59/13.03 | | COMBINE_EQS: (2), (6) imply:
% 51.59/13.03 | | (7) e22 = e20
% 51.59/13.03 | |
% 51.59/13.03 | | REDUCE: (5), (7) imply:
% 51.59/13.03 | | (8) $false
% 51.59/13.03 | |
% 51.59/13.03 | | CLOSE: (8) is inconsistent.
% 51.59/13.03 | |
% 51.59/13.03 | Case 2:
% 51.59/13.03 | |
% 51.59/13.03 | | (9) all_24_12 = e22
% 51.59/13.03 | |
% 51.59/13.03 | | REF_CLOSE: (1), (3), (9) are inconsistent by sub-proof #50.
% 51.59/13.03 | |
% 51.59/13.03 | End of split
% 51.59/13.03 |
% 51.59/13.03 End of proof
% 51.59/13.03
% 51.59/13.03 Sub-proof #10 shows that the following formulas are inconsistent:
% 51.59/13.03 ----------------------------------------------------------------
% 51.59/13.03 (1) ~ (all_6_1 = e21)
% 51.59/13.03 (2) ~ (all_14_13 = e23)
% 51.59/13.03 (3) all_24_3 = all_6_1
% 51.59/13.03 (4) all_24_14 = e21
% 51.59/13.03 (5) all_22_5 = e23 | all_22_5 = e22 | all_22_5 = e20
% 51.59/13.03 (6) all_22_5 = all_6_1
% 51.59/13.03 (7) all_24_13 = e23 | all_24_14 = e23 | all_24_15 = e23
% 51.59/13.03 (8) ~ (all_6_1 = e20)
% 51.59/13.03 (9) all_24_10 = all_14_13
% 51.59/13.03 (10) all_24_13 = e20
% 51.59/13.03 (11) all_24_3 = e23 | all_24_7 = e23 | all_24_13 = e23
% 51.59/13.03 (12) all_24_2 = e23 | all_24_3 = e23 | all_24_5 = e23 | all_24_10 = e23
% 51.59/13.03 (13) all_24_2 = e22
% 51.59/13.03 (14) ~ (all_6_1 = e22)
% 51.59/13.03 (15) ~ (e23 = e20)
% 51.59/13.03 (16) all_24_15 = e22
% 51.59/13.03 (17) all_24_5 = e20
% 51.59/13.03
% 51.59/13.03 Begin of proof
% 51.59/13.03 |
% 51.59/13.03 | BETA: splitting (7) gives:
% 51.59/13.03 |
% 51.59/13.03 | Case 1:
% 51.59/13.03 | |
% 51.59/13.03 | | (18) all_24_13 = e23
% 51.59/13.03 | |
% 51.59/13.03 | | COMBINE_EQS: (10), (18) imply:
% 51.59/13.03 | | (19) e23 = e20
% 51.59/13.03 | |
% 51.59/13.03 | | SIMP: (19) implies:
% 51.59/13.03 | | (20) e23 = e20
% 51.59/13.03 | |
% 51.59/13.03 | | REDUCE: (15), (20) imply:
% 51.59/13.03 | | (21) $false
% 51.59/13.03 | |
% 51.59/13.03 | | CLOSE: (21) is inconsistent.
% 51.59/13.03 | |
% 51.59/13.03 | Case 2:
% 51.59/13.03 | |
% 51.59/13.03 | | (22) all_24_14 = e23 | all_24_15 = e23
% 51.59/13.03 | |
% 51.59/13.03 | | BETA: splitting (11) gives:
% 51.59/13.03 | |
% 51.59/13.03 | | Case 1:
% 51.59/13.03 | | |
% 51.59/13.03 | | | (23) all_24_3 = e23
% 51.59/13.03 | | |
% 51.59/13.03 | | | COMBINE_EQS: (3), (23) imply:
% 51.59/13.03 | | | (24) all_6_1 = e23
% 51.59/13.03 | | |
% 51.59/13.03 | | | REDUCE: (14), (24) imply:
% 51.59/13.03 | | | (25) ~ (e23 = e22)
% 51.59/13.03 | | |
% 51.59/13.03 | | | REDUCE: (1), (24) imply:
% 51.59/13.03 | | | (26) ~ (e23 = e21)
% 51.59/13.03 | | |
% 51.59/13.03 | | | BETA: splitting (22) gives:
% 51.59/13.03 | | |
% 51.59/13.03 | | | Case 1:
% 51.59/13.03 | | | |
% 51.59/13.03 | | | | (27) all_24_14 = e23
% 51.59/13.03 | | | |
% 51.59/13.03 | | | | COMBINE_EQS: (4), (27) imply:
% 51.59/13.03 | | | | (28) e23 = e21
% 51.59/13.03 | | | |
% 51.59/13.03 | | | | SIMP: (28) implies:
% 51.59/13.03 | | | | (29) e23 = e21
% 51.59/13.03 | | | |
% 51.59/13.03 | | | | COMBINE_EQS: (23), (29) imply:
% 51.59/13.03 | | | | (30) all_24_3 = e21
% 51.59/13.03 | | | |
% 51.59/13.03 | | | | REF_CLOSE: (2), (9), (12), (13), (15), (17), (25), (26), (30) are
% 51.59/13.03 | | | | inconsistent by sub-proof #55.
% 51.59/13.03 | | | |
% 51.59/13.03 | | | Case 2:
% 51.59/13.03 | | | |
% 51.59/13.03 | | | | (31) all_24_15 = e23
% 51.59/13.03 | | | |
% 51.59/13.03 | | | | COMBINE_EQS: (16), (31) imply:
% 51.59/13.03 | | | | (32) e23 = e22
% 51.59/13.03 | | | |
% 51.59/13.03 | | | | SIMP: (32) implies:
% 51.59/13.03 | | | | (33) e23 = e22
% 51.59/13.03 | | | |
% 51.59/13.03 | | | | REDUCE: (25), (33) imply:
% 51.59/13.03 | | | | (34) $false
% 51.59/13.03 | | | |
% 51.59/13.04 | | | | CLOSE: (34) is inconsistent.
% 51.59/13.04 | | | |
% 51.59/13.04 | | | End of split
% 51.59/13.04 | | |
% 51.59/13.04 | | Case 2:
% 51.59/13.04 | | |
% 51.59/13.04 | | | (35) ~ (all_24_3 = e23)
% 51.59/13.04 | | |
% 51.59/13.04 | | | REF_CLOSE: (3), (5), (6), (8), (14), (35) are inconsistent by sub-proof
% 51.59/13.04 | | | #11.
% 51.59/13.04 | | |
% 51.59/13.04 | | End of split
% 51.59/13.04 | |
% 51.59/13.04 | End of split
% 51.59/13.04 |
% 51.59/13.04 End of proof
% 51.59/13.04
% 51.59/13.04 Sub-proof #11 shows that the following formulas are inconsistent:
% 51.59/13.04 ----------------------------------------------------------------
% 51.59/13.04 (1) all_24_3 = all_6_1
% 51.59/13.04 (2) all_22_5 = e23 | all_22_5 = e22 | all_22_5 = e20
% 51.83/13.04 (3) all_22_5 = all_6_1
% 51.83/13.04 (4) ~ (all_6_1 = e20)
% 51.83/13.04 (5) ~ (all_24_3 = e23)
% 51.83/13.04 (6) ~ (all_6_1 = e22)
% 51.83/13.04
% 51.83/13.04 Begin of proof
% 51.83/13.04 |
% 51.83/13.04 | REDUCE: (1), (5) imply:
% 51.83/13.04 | (7) ~ (all_6_1 = e23)
% 51.83/13.04 |
% 51.83/13.04 | BETA: splitting (2) gives:
% 51.83/13.04 |
% 51.83/13.04 | Case 1:
% 51.83/13.04 | |
% 51.83/13.04 | | (8) all_22_5 = e22
% 51.83/13.04 | |
% 51.83/13.04 | | COMBINE_EQS: (3), (8) imply:
% 51.83/13.04 | | (9) all_6_1 = e22
% 51.83/13.04 | |
% 51.83/13.04 | | REDUCE: (6), (9) imply:
% 51.83/13.04 | | (10) $false
% 51.83/13.04 | |
% 51.83/13.04 | | CLOSE: (10) is inconsistent.
% 51.83/13.04 | |
% 51.83/13.04 | Case 2:
% 51.83/13.04 | |
% 51.83/13.04 | | (11) all_22_5 = e23 | all_22_5 = e20
% 51.83/13.04 | |
% 51.83/13.04 | | BETA: splitting (11) gives:
% 51.83/13.04 | |
% 51.83/13.04 | | Case 1:
% 51.83/13.04 | | |
% 51.83/13.04 | | | (12) all_22_5 = e23
% 51.83/13.04 | | |
% 51.83/13.04 | | | COMBINE_EQS: (3), (12) imply:
% 51.83/13.04 | | | (13) all_6_1 = e23
% 51.83/13.04 | | |
% 51.83/13.04 | | | REDUCE: (7), (13) imply:
% 51.83/13.04 | | | (14) $false
% 51.83/13.04 | | |
% 51.83/13.04 | | | CLOSE: (14) is inconsistent.
% 51.83/13.04 | | |
% 51.83/13.04 | | Case 2:
% 51.83/13.04 | | |
% 51.83/13.04 | | | (15) all_22_5 = e20
% 51.83/13.04 | | |
% 51.83/13.04 | | | COMBINE_EQS: (3), (15) imply:
% 51.83/13.04 | | | (16) all_6_1 = e20
% 51.83/13.04 | | |
% 51.83/13.04 | | | REDUCE: (4), (16) imply:
% 51.83/13.04 | | | (17) $false
% 51.83/13.04 | | |
% 51.83/13.04 | | | CLOSE: (17) is inconsistent.
% 51.83/13.04 | | |
% 51.83/13.04 | | End of split
% 51.83/13.04 | |
% 51.83/13.04 | End of split
% 51.83/13.04 |
% 51.83/13.04 End of proof
% 51.83/13.04
% 51.83/13.04 Sub-proof #12 shows that the following formulas are inconsistent:
% 51.83/13.04 ----------------------------------------------------------------
% 51.83/13.04 (1) ~ (all_14_13 = e23)
% 51.83/13.04 (2) all_24_3 = all_6_1
% 51.83/13.04 (3) all_22_5 = all_6_1
% 51.83/13.04 (4) all_22_5 = e21
% 51.83/13.04 (5) all_24_10 = all_14_13
% 51.83/13.04 (6) ~ (e23 = e22)
% 51.83/13.04 (7) all_24_2 = e23 | all_24_3 = e23 | all_24_5 = e23 | all_24_10 = e23
% 51.83/13.04 (8) ~ (e23 = e21)
% 51.83/13.04 (9) all_24_2 = e22
% 51.83/13.04 (10) ~ (e23 = e20)
% 51.83/13.04 (11) all_24_5 = e20
% 51.83/13.04
% 51.83/13.04 Begin of proof
% 51.83/13.04 |
% 51.83/13.04 | COMBINE_EQS: (3), (4) imply:
% 51.83/13.04 | (12) all_6_1 = e21
% 51.83/13.04 |
% 51.83/13.04 | SIMP: (12) implies:
% 51.83/13.04 | (13) all_6_1 = e21
% 51.83/13.04 |
% 51.83/13.04 | COMBINE_EQS: (2), (13) imply:
% 51.83/13.04 | (14) all_24_3 = e21
% 51.83/13.04 |
% 51.83/13.04 | REF_CLOSE: (1), (5), (6), (7), (8), (9), (10), (11), (14) are inconsistent by
% 51.83/13.04 | sub-proof #55.
% 51.83/13.04 |
% 51.83/13.04 End of proof
% 51.83/13.04
% 51.83/13.04 Sub-proof #13 shows that the following formulas are inconsistent:
% 51.83/13.04 ----------------------------------------------------------------
% 51.83/13.04 (1) all_24_1 = all_14_4
% 51.83/13.04 (2) all_24_1 = e23
% 51.83/13.04 (3) ~ (all_14_4 = e23)
% 51.83/13.04
% 51.83/13.04 Begin of proof
% 51.83/13.04 |
% 51.83/13.04 | COMBINE_EQS: (1), (2) imply:
% 51.83/13.04 | (4) all_14_4 = e23
% 51.83/13.04 |
% 51.83/13.04 | SIMP: (4) implies:
% 51.83/13.04 | (5) all_14_4 = e23
% 51.83/13.04 |
% 51.83/13.04 | REDUCE: (3), (5) imply:
% 51.83/13.04 | (6) $false
% 51.83/13.04 |
% 51.83/13.04 | CLOSE: (6) is inconsistent.
% 51.83/13.04 |
% 51.83/13.04 End of proof
% 51.83/13.04
% 51.83/13.04 Sub-proof #14 shows that the following formulas are inconsistent:
% 51.83/13.04 ----------------------------------------------------------------
% 51.83/13.04 (1) all_24_7 = e21
% 51.83/13.04 (2) all_24_7 = e20
% 51.83/13.04 (3) ~ (e21 = e20)
% 51.83/13.04
% 51.83/13.04 Begin of proof
% 51.83/13.04 |
% 51.83/13.04 | COMBINE_EQS: (1), (2) imply:
% 51.83/13.04 | (4) e21 = e20
% 51.83/13.04 |
% 51.83/13.04 | SIMP: (4) implies:
% 51.83/13.04 | (5) e21 = e20
% 51.83/13.04 |
% 51.83/13.04 | REDUCE: (3), (5) imply:
% 51.83/13.04 | (6) $false
% 51.83/13.04 |
% 51.83/13.04 | CLOSE: (6) is inconsistent.
% 51.83/13.04 |
% 51.83/13.04 End of proof
% 51.83/13.04
% 51.83/13.04 Sub-proof #15 shows that the following formulas are inconsistent:
% 51.83/13.04 ----------------------------------------------------------------
% 51.83/13.04 (1) all_24_3 = all_6_1
% 51.83/13.04 (2) all_24_3 = e20
% 51.83/13.04 (3) ~ (all_6_1 = e20)
% 51.83/13.04
% 51.83/13.04 Begin of proof
% 51.83/13.04 |
% 51.83/13.04 | COMBINE_EQS: (1), (2) imply:
% 51.83/13.04 | (4) all_6_1 = e20
% 51.83/13.04 |
% 51.83/13.04 | SIMP: (4) implies:
% 51.83/13.04 | (5) all_6_1 = e20
% 51.83/13.04 |
% 51.83/13.04 | REDUCE: (3), (5) imply:
% 51.83/13.04 | (6) $false
% 51.83/13.04 |
% 51.83/13.04 | CLOSE: (6) is inconsistent.
% 51.83/13.04 |
% 51.83/13.04 End of proof
% 51.83/13.04
% 51.83/13.04 Sub-proof #16 shows that the following formulas are inconsistent:
% 51.83/13.04 ----------------------------------------------------------------
% 51.83/13.04 (1) all_22_8 = all_14_2
% 51.83/13.04 (2) all_22_8 = e23
% 51.83/13.04 (3) ~ (all_14_2 = e23)
% 51.83/13.04
% 51.83/13.04 Begin of proof
% 51.83/13.04 |
% 51.83/13.04 | COMBINE_EQS: (1), (2) imply:
% 51.83/13.04 | (4) all_14_2 = e23
% 51.83/13.04 |
% 51.83/13.04 | SIMP: (4) implies:
% 51.83/13.04 | (5) all_14_2 = e23
% 51.83/13.04 |
% 51.83/13.04 | REDUCE: (3), (5) imply:
% 51.83/13.04 | (6) $false
% 51.83/13.04 |
% 51.83/13.04 | CLOSE: (6) is inconsistent.
% 51.83/13.04 |
% 51.83/13.04 End of proof
% 51.83/13.04
% 51.83/13.04 Sub-proof #17 shows that the following formulas are inconsistent:
% 51.83/13.04 ----------------------------------------------------------------
% 51.83/13.04 (1) all_22_8 = all_14_2
% 51.83/13.04 (2) all_22_8 = e22
% 51.83/13.04 (3) ~ (all_14_2 = e22)
% 51.83/13.04
% 51.83/13.04 Begin of proof
% 51.83/13.04 |
% 51.83/13.04 | COMBINE_EQS: (1), (2) imply:
% 51.83/13.04 | (4) all_14_2 = e22
% 51.83/13.04 |
% 51.83/13.04 | SIMP: (4) implies:
% 51.83/13.04 | (5) all_14_2 = e22
% 51.83/13.04 |
% 51.83/13.04 | REDUCE: (3), (5) imply:
% 51.83/13.04 | (6) $false
% 51.83/13.04 |
% 51.83/13.04 | CLOSE: (6) is inconsistent.
% 51.83/13.04 |
% 51.83/13.04 End of proof
% 51.83/13.04
% 51.83/13.04 Sub-proof #18 shows that the following formulas are inconsistent:
% 51.83/13.04 ----------------------------------------------------------------
% 51.83/13.04 (1) all_24_1 = all_14_4
% 51.83/13.04 (2) all_24_1 = e20
% 51.83/13.04 (3) ~ (all_14_4 = e20)
% 51.83/13.04
% 51.83/13.04 Begin of proof
% 51.83/13.04 |
% 51.83/13.04 | COMBINE_EQS: (1), (2) imply:
% 51.83/13.04 | (4) all_14_4 = e20
% 51.83/13.04 |
% 51.83/13.04 | SIMP: (4) implies:
% 51.83/13.04 | (5) all_14_4 = e20
% 51.83/13.04 |
% 51.83/13.04 | REDUCE: (3), (5) imply:
% 51.83/13.04 | (6) $false
% 51.83/13.04 |
% 51.83/13.04 | CLOSE: (6) is inconsistent.
% 51.83/13.04 |
% 51.83/13.04 End of proof
% 51.83/13.04
% 51.83/13.04 Sub-proof #19 shows that the following formulas are inconsistent:
% 51.83/13.04 ----------------------------------------------------------------
% 51.83/13.04 (1) all_22_15 = all_10_1
% 51.83/13.04 (2) all_22_15 = e21
% 51.83/13.04 (3) ~ (all_10_1 = e21)
% 51.83/13.04
% 51.83/13.04 Begin of proof
% 51.83/13.04 |
% 51.83/13.04 | COMBINE_EQS: (1), (2) imply:
% 51.83/13.04 | (4) all_10_1 = e21
% 51.83/13.04 |
% 51.83/13.04 | SIMP: (4) implies:
% 51.83/13.04 | (5) all_10_1 = e21
% 51.83/13.04 |
% 51.83/13.04 | REDUCE: (3), (5) imply:
% 51.83/13.04 | (6) $false
% 51.83/13.04 |
% 51.83/13.04 | CLOSE: (6) is inconsistent.
% 51.83/13.04 |
% 51.83/13.04 End of proof
% 51.83/13.04
% 51.83/13.04 Sub-proof #20 shows that the following formulas are inconsistent:
% 51.83/13.04 ----------------------------------------------------------------
% 51.83/13.04 (1) all_22_14 = all_14_11
% 51.83/13.04 (2) all_22_14 = e20
% 51.83/13.04 (3) ~ (all_14_11 = e20)
% 51.83/13.04
% 51.83/13.04 Begin of proof
% 51.83/13.04 |
% 51.83/13.04 | COMBINE_EQS: (1), (2) imply:
% 51.83/13.04 | (4) all_14_11 = e20
% 51.83/13.04 |
% 51.83/13.04 | SIMP: (4) implies:
% 51.83/13.04 | (5) all_14_11 = e20
% 51.83/13.04 |
% 51.83/13.04 | REDUCE: (3), (5) imply:
% 51.83/13.04 | (6) $false
% 51.83/13.04 |
% 51.83/13.04 | CLOSE: (6) is inconsistent.
% 51.83/13.04 |
% 51.83/13.04 End of proof
% 51.83/13.04
% 51.83/13.04 Sub-proof #21 shows that the following formulas are inconsistent:
% 51.83/13.04 ----------------------------------------------------------------
% 51.83/13.04 (1) all_22_14 = all_14_11
% 51.83/13.04 (2) all_22_14 = e22
% 51.83/13.04 (3) ~ (all_14_11 = e22)
% 51.83/13.04
% 51.83/13.04 Begin of proof
% 51.83/13.04 |
% 51.83/13.04 | COMBINE_EQS: (1), (2) imply:
% 51.83/13.04 | (4) all_14_11 = e22
% 51.83/13.04 |
% 51.83/13.04 | SIMP: (4) implies:
% 51.83/13.04 | (5) all_14_11 = e22
% 51.83/13.04 |
% 51.83/13.04 | REDUCE: (3), (5) imply:
% 51.83/13.04 | (6) $false
% 51.83/13.04 |
% 51.83/13.04 | CLOSE: (6) is inconsistent.
% 51.83/13.04 |
% 51.83/13.04 End of proof
% 51.83/13.04
% 51.83/13.04 Sub-proof #22 shows that the following formulas are inconsistent:
% 51.83/13.04 ----------------------------------------------------------------
% 51.83/13.04 (1) all_22_14 = all_14_11
% 51.83/13.04 (2) all_22_14 = e21
% 51.83/13.04 (3) ~ (all_14_11 = e21)
% 51.83/13.04
% 51.83/13.04 Begin of proof
% 51.83/13.04 |
% 51.83/13.04 | COMBINE_EQS: (1), (2) imply:
% 51.83/13.04 | (4) all_14_11 = e21
% 51.83/13.04 |
% 51.83/13.04 | SIMP: (4) implies:
% 51.83/13.05 | (5) all_14_11 = e21
% 51.83/13.05 |
% 51.83/13.05 | REDUCE: (3), (5) imply:
% 51.83/13.05 | (6) $false
% 51.83/13.05 |
% 51.83/13.05 | CLOSE: (6) is inconsistent.
% 51.83/13.05 |
% 51.83/13.05 End of proof
% 51.83/13.05
% 51.83/13.05 Sub-proof #23 shows that the following formulas are inconsistent:
% 51.83/13.05 ----------------------------------------------------------------
% 51.83/13.05 (1) ~ (all_12_7 = e10)
% 51.83/13.05 (2) ~ (e13 = e10)
% 51.83/13.05 (3) all_26_13 = e10 | all_26_14 = e10
% 51.83/13.05 (4) all_26_13 = all_12_7
% 51.83/13.05 (5) all_26_14 = e13
% 51.83/13.05
% 51.83/13.05 Begin of proof
% 51.83/13.05 |
% 51.83/13.05 | BETA: splitting (3) gives:
% 51.83/13.05 |
% 51.83/13.05 | Case 1:
% 51.83/13.05 | |
% 51.83/13.05 | | (6) all_26_13 = e10
% 51.83/13.05 | |
% 51.83/13.05 | | COMBINE_EQS: (4), (6) imply:
% 51.83/13.05 | | (7) all_12_7 = e10
% 51.83/13.05 | |
% 51.83/13.05 | | SIMP: (7) implies:
% 51.83/13.05 | | (8) all_12_7 = e10
% 51.83/13.05 | |
% 51.83/13.05 | | REDUCE: (1), (8) imply:
% 51.83/13.05 | | (9) $false
% 51.83/13.05 | |
% 51.83/13.05 | | CLOSE: (9) is inconsistent.
% 51.83/13.05 | |
% 51.83/13.05 | Case 2:
% 51.83/13.05 | |
% 51.83/13.05 | | (10) all_26_14 = e10
% 51.83/13.05 | |
% 51.83/13.05 | | COMBINE_EQS: (5), (10) imply:
% 51.83/13.05 | | (11) e13 = e10
% 51.83/13.05 | |
% 51.83/13.05 | | SIMP: (11) implies:
% 51.83/13.05 | | (12) e13 = e10
% 51.83/13.05 | |
% 51.83/13.05 | | REDUCE: (2), (12) imply:
% 51.83/13.05 | | (13) $false
% 51.83/13.05 | |
% 51.83/13.05 | | CLOSE: (13) is inconsistent.
% 51.83/13.05 | |
% 51.83/13.05 | End of split
% 51.83/13.05 |
% 51.83/13.05 End of proof
% 51.83/13.05
% 51.83/13.05 Sub-proof #24 shows that the following formulas are inconsistent:
% 51.83/13.05 ----------------------------------------------------------------
% 51.83/13.05 (1) e11 = e10
% 51.83/13.05 (2) ~ (e13 = e11)
% 51.83/13.05 (3) all_26_11 = e13
% 51.83/13.05 (4) ~ (e12 = e11)
% 51.83/13.05 (5) all_26_8 = e12
% 51.83/13.05 (6) ~ (e11 = e10)
% 51.83/13.05 (7) ~ (all_12_6 = e11)
% 51.83/13.05 (8) all_26_7 = all_12_6
% 51.83/13.05 (9) all_26_6 = e11
% 51.83/13.05 (10) all_26_6 = e11 | all_26_7 = e11 | all_26_8 = e11 | all_26_11 = e11
% 51.83/13.05
% 51.83/13.05 Begin of proof
% 51.83/13.05 |
% 51.83/13.05 | SIMP: (1) implies:
% 51.83/13.05 | (11) e11 = e10
% 51.83/13.05 |
% 51.83/13.05 | COMBINE_EQS: (9), (11) imply:
% 51.83/13.05 | (12) all_26_6 = e10
% 51.83/13.05 |
% 51.83/13.05 | REF_CLOSE: (2), (3), (4), (5), (6), (7), (8), (10), (12) are inconsistent by
% 51.83/13.05 | sub-proof #97.
% 51.83/13.05 |
% 51.83/13.05 End of proof
% 51.83/13.05
% 51.83/13.05 Sub-proof #25 shows that the following formulas are inconsistent:
% 51.83/13.05 ----------------------------------------------------------------
% 51.83/13.05 (1) all_20_5 = all_12_5
% 51.83/13.05 (2) all_20_5 = e10
% 51.83/13.05 (3) ~ (all_12_5 = e10)
% 51.83/13.05
% 51.83/13.05 Begin of proof
% 51.83/13.05 |
% 51.83/13.05 | COMBINE_EQS: (1), (2) imply:
% 51.83/13.05 | (4) all_12_5 = e10
% 51.83/13.05 |
% 51.83/13.05 | SIMP: (4) implies:
% 51.83/13.05 | (5) all_12_5 = e10
% 51.83/13.05 |
% 51.83/13.05 | REDUCE: (3), (5) imply:
% 51.83/13.05 | (6) $false
% 51.83/13.05 |
% 51.83/13.05 | CLOSE: (6) is inconsistent.
% 51.83/13.05 |
% 51.83/13.05 End of proof
% 51.83/13.05
% 51.83/13.05 Sub-proof #26 shows that the following formulas are inconsistent:
% 51.83/13.05 ----------------------------------------------------------------
% 51.83/13.05 (1) all_20_3 = all_12_12
% 51.83/13.05 (2) all_20_3 = e13
% 51.83/13.05 (3) ~ (all_12_12 = e13)
% 51.83/13.05
% 51.83/13.05 Begin of proof
% 51.83/13.05 |
% 51.83/13.05 | COMBINE_EQS: (1), (2) imply:
% 51.83/13.05 | (4) all_12_12 = e13
% 51.83/13.05 |
% 51.83/13.05 | SIMP: (4) implies:
% 51.83/13.05 | (5) all_12_12 = e13
% 51.83/13.05 |
% 51.83/13.05 | REDUCE: (3), (5) imply:
% 51.83/13.05 | (6) $false
% 51.83/13.05 |
% 51.83/13.05 | CLOSE: (6) is inconsistent.
% 51.83/13.05 |
% 51.83/13.05 End of proof
% 51.83/13.05
% 51.83/13.05 Sub-proof #27 shows that the following formulas are inconsistent:
% 51.83/13.05 ----------------------------------------------------------------
% 51.83/13.05 (1) all_20_3 = all_12_12
% 51.83/13.05 (2) all_20_3 = e12
% 51.83/13.05 (3) ~ (all_12_12 = e12)
% 51.83/13.05
% 51.83/13.05 Begin of proof
% 51.83/13.05 |
% 51.83/13.05 | COMBINE_EQS: (1), (2) imply:
% 51.83/13.05 | (4) all_12_12 = e12
% 51.83/13.05 |
% 51.83/13.05 | SIMP: (4) implies:
% 51.83/13.05 | (5) all_12_12 = e12
% 51.83/13.05 |
% 51.83/13.05 | REDUCE: (3), (5) imply:
% 51.83/13.05 | (6) $false
% 51.83/13.05 |
% 51.83/13.05 | CLOSE: (6) is inconsistent.
% 51.83/13.05 |
% 51.83/13.05 End of proof
% 51.83/13.05
% 51.83/13.05 Sub-proof #28 shows that the following formulas are inconsistent:
% 51.83/13.05 ----------------------------------------------------------------
% 51.83/13.05 (1) all_20_3 = all_12_12
% 51.83/13.05 (2) all_20_3 = e11
% 51.83/13.05 (3) ~ (all_12_12 = e11)
% 51.83/13.05
% 51.83/13.05 Begin of proof
% 51.83/13.05 |
% 51.83/13.05 | COMBINE_EQS: (1), (2) imply:
% 51.83/13.05 | (4) all_12_12 = e11
% 51.83/13.05 |
% 51.83/13.05 | SIMP: (4) implies:
% 51.83/13.05 | (5) all_12_12 = e11
% 51.83/13.05 |
% 51.83/13.05 | REDUCE: (3), (5) imply:
% 51.83/13.05 | (6) $false
% 51.83/13.05 |
% 51.83/13.05 | CLOSE: (6) is inconsistent.
% 51.83/13.05 |
% 51.83/13.05 End of proof
% 51.83/13.05
% 51.83/13.05 Sub-proof #29 shows that the following formulas are inconsistent:
% 51.83/13.05 ----------------------------------------------------------------
% 51.83/13.05 (1) all_20_14 = all_12_11
% 51.83/13.05 (2) all_20_14 = e11
% 51.83/13.05 (3) ~ (all_12_11 = e11)
% 51.83/13.05
% 51.83/13.05 Begin of proof
% 51.83/13.05 |
% 51.83/13.05 | COMBINE_EQS: (1), (2) imply:
% 51.83/13.05 | (4) all_12_11 = e11
% 51.83/13.05 |
% 51.83/13.05 | SIMP: (4) implies:
% 51.83/13.05 | (5) all_12_11 = e11
% 51.83/13.05 |
% 51.83/13.05 | REDUCE: (3), (5) imply:
% 51.83/13.05 | (6) $false
% 51.83/13.05 |
% 51.83/13.05 | CLOSE: (6) is inconsistent.
% 51.83/13.05 |
% 51.83/13.05 End of proof
% 51.83/13.05
% 51.83/13.05 Sub-proof #30 shows that the following formulas are inconsistent:
% 51.83/13.05 ----------------------------------------------------------------
% 51.83/13.05 (1) all_20_5 = all_12_5
% 51.83/13.05 (2) all_20_5 = e12
% 51.83/13.05 (3) ~ (all_12_5 = e12)
% 51.83/13.05
% 51.83/13.05 Begin of proof
% 51.83/13.05 |
% 51.83/13.05 | COMBINE_EQS: (1), (2) imply:
% 51.83/13.05 | (4) all_12_5 = e12
% 51.83/13.05 |
% 51.83/13.05 | SIMP: (4) implies:
% 51.83/13.05 | (5) all_12_5 = e12
% 51.83/13.05 |
% 51.83/13.05 | REDUCE: (3), (5) imply:
% 51.83/13.05 | (6) $false
% 51.83/13.05 |
% 51.83/13.05 | CLOSE: (6) is inconsistent.
% 51.83/13.05 |
% 51.83/13.05 End of proof
% 51.83/13.05
% 51.83/13.05 Sub-proof #31 shows that the following formulas are inconsistent:
% 51.83/13.05 ----------------------------------------------------------------
% 51.83/13.05 (1) all_20_5 = all_12_5
% 51.83/13.05 (2) all_20_5 = e11
% 51.83/13.05 (3) ~ (all_12_5 = e11)
% 51.83/13.05
% 51.83/13.05 Begin of proof
% 51.83/13.05 |
% 51.83/13.05 | COMBINE_EQS: (1), (2) imply:
% 51.83/13.05 | (4) all_12_5 = e11
% 51.83/13.05 |
% 51.83/13.05 | SIMP: (4) implies:
% 51.83/13.05 | (5) all_12_5 = e11
% 51.83/13.05 |
% 51.83/13.05 | REDUCE: (3), (5) imply:
% 51.83/13.05 | (6) $false
% 51.83/13.05 |
% 51.83/13.05 | CLOSE: (6) is inconsistent.
% 51.83/13.05 |
% 51.83/13.05 End of proof
% 51.83/13.05
% 51.83/13.05 Sub-proof #32 shows that the following formulas are inconsistent:
% 51.83/13.05 ----------------------------------------------------------------
% 51.83/13.05 (1) all_20_8 = all_12_2
% 51.83/13.05 (2) all_20_8 = e13
% 51.83/13.05 (3) ~ (all_12_2 = e13)
% 51.83/13.05
% 51.83/13.05 Begin of proof
% 51.83/13.05 |
% 51.83/13.05 | COMBINE_EQS: (1), (2) imply:
% 51.83/13.05 | (4) all_12_2 = e13
% 51.83/13.05 |
% 51.83/13.05 | SIMP: (4) implies:
% 52.08/13.05 | (5) all_12_2 = e13
% 52.08/13.05 |
% 52.08/13.05 | REDUCE: (3), (5) imply:
% 52.08/13.05 | (6) $false
% 52.08/13.05 |
% 52.08/13.06 | CLOSE: (6) is inconsistent.
% 52.08/13.06 |
% 52.08/13.06 End of proof
% 52.08/13.06
% 52.08/13.06 Sub-proof #33 shows that the following formulas are inconsistent:
% 52.08/13.06 ----------------------------------------------------------------
% 52.08/13.06 (1) all_20_8 = all_12_2
% 52.08/13.06 (2) all_20_8 = e12
% 52.08/13.06 (3) ~ (all_12_2 = e12)
% 52.08/13.06
% 52.08/13.06 Begin of proof
% 52.08/13.06 |
% 52.08/13.06 | COMBINE_EQS: (1), (2) imply:
% 52.08/13.06 | (4) all_12_2 = e12
% 52.08/13.06 |
% 52.08/13.06 | SIMP: (4) implies:
% 52.08/13.06 | (5) all_12_2 = e12
% 52.08/13.06 |
% 52.08/13.06 | REDUCE: (3), (5) imply:
% 52.08/13.06 | (6) $false
% 52.08/13.06 |
% 52.08/13.06 | CLOSE: (6) is inconsistent.
% 52.08/13.06 |
% 52.08/13.06 End of proof
% 52.08/13.06
% 52.08/13.06 Sub-proof #34 shows that the following formulas are inconsistent:
% 52.08/13.06 ----------------------------------------------------------------
% 52.08/13.06 (1) all_24_10 = all_14_13
% 52.08/13.06 (2) all_24_10 = e21
% 52.08/13.06 (3) ~ (all_14_13 = e21)
% 52.08/13.06
% 52.08/13.06 Begin of proof
% 52.08/13.06 |
% 52.08/13.06 | COMBINE_EQS: (1), (2) imply:
% 52.08/13.06 | (4) all_14_13 = e21
% 52.08/13.06 |
% 52.08/13.06 | SIMP: (4) implies:
% 52.08/13.06 | (5) all_14_13 = e21
% 52.08/13.06 |
% 52.08/13.06 | REDUCE: (3), (5) imply:
% 52.08/13.06 | (6) $false
% 52.08/13.06 |
% 52.08/13.06 | CLOSE: (6) is inconsistent.
% 52.08/13.06 |
% 52.08/13.06 End of proof
% 52.08/13.06
% 52.08/13.06 Sub-proof #35 shows that the following formulas are inconsistent:
% 52.08/13.06 ----------------------------------------------------------------
% 52.08/13.06 (1) all_24_0 = e21
% 52.08/13.06 (2) all_24_0 = e22 | all_24_2 = e22 | all_24_6 = e22 | all_24_12 = e22
% 52.08/13.06 (3) all_24_6 = all_14_2
% 52.08/13.06 (4) ~ (all_14_2 = e22)
% 52.08/13.06 (5) ~ (e22 = e21)
% 52.08/13.06 (6) all_24_12 = e20
% 52.08/13.06 (7) all_24_0 = e23 | all_24_2 = e23 | all_24_6 = e23 | all_24_12 = e23
% 52.08/13.06 (8) ~ (all_14_2 = e23)
% 52.08/13.06 (9) ~ (e23 = e22)
% 52.08/13.06 (10) ~ (e23 = e21)
% 52.08/13.06 (11) ~ (e23 = e20)
% 52.08/13.06 (12) ~ (e22 = e20)
% 52.08/13.06
% 52.08/13.06 Begin of proof
% 52.08/13.06 |
% 52.08/13.06 | BETA: splitting (2) gives:
% 52.08/13.06 |
% 52.08/13.06 | Case 1:
% 52.08/13.06 | |
% 52.08/13.06 | | (13) all_24_0 = e22
% 52.08/13.06 | |
% 52.08/13.06 | | COMBINE_EQS: (1), (13) imply:
% 52.08/13.06 | | (14) e22 = e21
% 52.08/13.06 | |
% 52.08/13.06 | | REDUCE: (5), (14) imply:
% 52.08/13.06 | | (15) $false
% 52.08/13.06 | |
% 52.08/13.06 | | CLOSE: (15) is inconsistent.
% 52.08/13.06 | |
% 52.08/13.06 | Case 2:
% 52.08/13.06 | |
% 52.08/13.06 | | (16) all_24_2 = e22 | all_24_6 = e22 | all_24_12 = e22
% 52.08/13.06 | |
% 52.08/13.06 | | BETA: splitting (7) gives:
% 52.08/13.06 | |
% 52.08/13.06 | | Case 1:
% 52.08/13.06 | | |
% 52.08/13.06 | | | (17) all_24_0 = e23
% 52.08/13.06 | | |
% 52.08/13.06 | | | COMBINE_EQS: (1), (17) imply:
% 52.08/13.06 | | | (18) e23 = e21
% 52.08/13.06 | | |
% 52.08/13.06 | | | REDUCE: (10), (18) imply:
% 52.08/13.06 | | | (19) $false
% 52.08/13.06 | | |
% 52.08/13.06 | | | CLOSE: (19) is inconsistent.
% 52.08/13.06 | | |
% 52.08/13.06 | | Case 2:
% 52.08/13.06 | | |
% 52.08/13.06 | | | (20) all_24_2 = e23 | all_24_6 = e23 | all_24_12 = e23
% 52.08/13.06 | | |
% 52.08/13.06 | | | REF_CLOSE: (3), (4), (6), (8), (9), (11), (12), (16), (20) are
% 52.08/13.06 | | | inconsistent by sub-proof #36.
% 52.08/13.06 | | |
% 52.08/13.06 | | End of split
% 52.08/13.06 | |
% 52.08/13.06 | End of split
% 52.08/13.06 |
% 52.08/13.06 End of proof
% 52.08/13.06
% 52.08/13.06 Sub-proof #36 shows that the following formulas are inconsistent:
% 52.08/13.06 ----------------------------------------------------------------
% 52.08/13.06 (1) all_24_6 = all_14_2
% 52.08/13.06 (2) all_24_2 = e22 | all_24_6 = e22 | all_24_12 = e22
% 52.08/13.06 (3) all_24_2 = e23 | all_24_6 = e23 | all_24_12 = e23
% 52.08/13.06 (4) ~ (all_14_2 = e22)
% 52.08/13.06 (5) all_24_12 = e20
% 52.08/13.06 (6) ~ (all_14_2 = e23)
% 52.08/13.06 (7) ~ (e23 = e22)
% 52.08/13.06 (8) ~ (e23 = e20)
% 52.08/13.06 (9) ~ (e22 = e20)
% 52.08/13.06
% 52.08/13.06 Begin of proof
% 52.08/13.06 |
% 52.08/13.06 | BETA: splitting (3) gives:
% 52.08/13.06 |
% 52.08/13.06 | Case 1:
% 52.08/13.06 | |
% 52.08/13.06 | | (10) all_24_2 = e23
% 52.08/13.06 | |
% 52.08/13.06 | | BETA: splitting (2) gives:
% 52.08/13.06 | |
% 52.08/13.06 | | Case 1:
% 52.08/13.06 | | |
% 52.08/13.06 | | | (11) all_24_2 = e22
% 52.08/13.06 | | |
% 52.08/13.06 | | | COMBINE_EQS: (10), (11) imply:
% 52.08/13.06 | | | (12) e23 = e22
% 52.08/13.06 | | |
% 52.08/13.06 | | | SIMP: (12) implies:
% 52.08/13.06 | | | (13) e23 = e22
% 52.08/13.06 | | |
% 52.08/13.06 | | | REDUCE: (7), (13) imply:
% 52.08/13.06 | | | (14) $false
% 52.08/13.06 | | |
% 52.08/13.06 | | | CLOSE: (14) is inconsistent.
% 52.08/13.06 | | |
% 52.08/13.06 | | Case 2:
% 52.08/13.06 | | |
% 52.08/13.06 | | | (15) all_24_6 = e22 | all_24_12 = e22
% 52.08/13.06 | | |
% 52.08/13.06 | | | BETA: splitting (15) gives:
% 52.08/13.06 | | |
% 52.08/13.06 | | | Case 1:
% 52.08/13.06 | | | |
% 52.08/13.06 | | | | (16) all_24_6 = e22
% 52.08/13.06 | | | |
% 52.08/13.06 | | | | COMBINE_EQS: (1), (16) imply:
% 52.08/13.06 | | | | (17) all_14_2 = e22
% 52.08/13.06 | | | |
% 52.08/13.06 | | | | REDUCE: (4), (17) imply:
% 52.08/13.06 | | | | (18) $false
% 52.08/13.06 | | | |
% 52.08/13.06 | | | | CLOSE: (18) is inconsistent.
% 52.08/13.06 | | | |
% 52.08/13.06 | | | Case 2:
% 52.08/13.06 | | | |
% 52.08/13.06 | | | | (19) all_24_12 = e22
% 52.08/13.06 | | | |
% 52.08/13.06 | | | | COMBINE_EQS: (5), (19) imply:
% 52.08/13.06 | | | | (20) e22 = e20
% 52.08/13.06 | | | |
% 52.08/13.06 | | | | REDUCE: (9), (20) imply:
% 52.08/13.06 | | | | (21) $false
% 52.08/13.06 | | | |
% 52.08/13.06 | | | | CLOSE: (21) is inconsistent.
% 52.08/13.06 | | | |
% 52.08/13.06 | | | End of split
% 52.08/13.06 | | |
% 52.08/13.06 | | End of split
% 52.08/13.06 | |
% 52.08/13.06 | Case 2:
% 52.08/13.06 | |
% 52.08/13.06 | | (22) all_24_6 = e23 | all_24_12 = e23
% 52.08/13.06 | |
% 52.08/13.06 | | BETA: splitting (22) gives:
% 52.08/13.06 | |
% 52.08/13.06 | | Case 1:
% 52.08/13.06 | | |
% 52.08/13.06 | | | (23) all_24_6 = e23
% 52.08/13.06 | | |
% 52.08/13.06 | | | COMBINE_EQS: (1), (23) imply:
% 52.08/13.06 | | | (24) all_14_2 = e23
% 52.08/13.06 | | |
% 52.08/13.06 | | | SIMP: (24) implies:
% 52.08/13.06 | | | (25) all_14_2 = e23
% 52.08/13.06 | | |
% 52.08/13.06 | | | REDUCE: (6), (25) imply:
% 52.08/13.06 | | | (26) $false
% 52.08/13.06 | | |
% 52.08/13.06 | | | CLOSE: (26) is inconsistent.
% 52.08/13.06 | | |
% 52.08/13.06 | | Case 2:
% 52.08/13.06 | | |
% 52.08/13.06 | | | (27) all_24_12 = e23
% 52.08/13.06 | | |
% 52.08/13.06 | | | COMBINE_EQS: (5), (27) imply:
% 52.08/13.06 | | | (28) e23 = e20
% 52.08/13.06 | | |
% 52.08/13.06 | | | REDUCE: (8), (28) imply:
% 52.08/13.06 | | | (29) $false
% 52.08/13.06 | | |
% 52.08/13.06 | | | CLOSE: (29) is inconsistent.
% 52.08/13.06 | | |
% 52.08/13.06 | | End of split
% 52.08/13.06 | |
% 52.08/13.06 | End of split
% 52.08/13.06 |
% 52.08/13.06 End of proof
% 52.08/13.06
% 52.08/13.06 Sub-proof #37 shows that the following formulas are inconsistent:
% 52.08/13.06 ----------------------------------------------------------------
% 52.08/13.06 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.08/13.06 (op1(v3, v2) = v1) | ~ (op1(v3, v2) = v0))
% 52.08/13.06 (2) ~ (all_12_4 = e10)
% 52.08/13.06 (3) all_20_1 = e13 | all_20_1 = e12 | all_20_1 = e10
% 52.08/13.07 (4) op1(e12, e12) = e10
% 52.08/13.07 (5) op1(e12, e12) = e13
% 52.08/13.07 (6) ~ (e13 = e10)
% 52.08/13.07 (7) ~ (all_12_4 = e13)
% 52.08/13.07 (8) all_20_1 = all_12_4
% 52.08/13.07 (9) op1(all_12_4, all_12_4) = all_16_8
% 52.08/13.07
% 52.08/13.07 Begin of proof
% 52.08/13.07 |
% 52.08/13.07 | BETA: splitting (3) gives:
% 52.08/13.07 |
% 52.08/13.07 | Case 1:
% 52.08/13.07 | |
% 52.08/13.07 | | (10) all_20_1 = e12
% 52.08/13.07 | |
% 52.08/13.07 | | COMBINE_EQS: (8), (10) imply:
% 52.08/13.07 | | (11) all_12_4 = e12
% 52.08/13.07 | |
% 52.08/13.07 | | SIMP: (11) implies:
% 52.08/13.07 | | (12) all_12_4 = e12
% 52.08/13.07 | |
% 52.08/13.07 | | REDUCE: (9), (12) imply:
% 52.08/13.07 | | (13) op1(e12, e12) = all_16_8
% 52.08/13.07 | |
% 52.08/13.07 | | GROUND_INST: instantiating (1) with e13, all_16_8, e12, e12, simplifying
% 52.08/13.07 | | with (5), (13) gives:
% 52.08/13.07 | | (14) all_16_8 = e13
% 52.08/13.07 | |
% 52.08/13.07 | | GROUND_INST: instantiating (1) with e10, all_16_8, e12, e12, simplifying
% 52.08/13.07 | | with (4), (13) gives:
% 52.08/13.07 | | (15) all_16_8 = e10
% 52.08/13.07 | |
% 52.08/13.07 | | COMBINE_EQS: (14), (15) imply:
% 52.08/13.07 | | (16) e13 = e10
% 52.08/13.07 | |
% 52.08/13.07 | | SIMP: (16) implies:
% 52.08/13.07 | | (17) e13 = e10
% 52.08/13.07 | |
% 52.08/13.07 | | REDUCE: (6), (17) imply:
% 52.08/13.07 | | (18) $false
% 52.08/13.07 | |
% 52.08/13.07 | | CLOSE: (18) is inconsistent.
% 52.08/13.07 | |
% 52.08/13.07 | Case 2:
% 52.08/13.07 | |
% 52.08/13.07 | | (19) all_20_1 = e13 | all_20_1 = e10
% 52.08/13.07 | |
% 52.08/13.07 | | REF_CLOSE: (2), (7), (8), (19) are inconsistent by sub-proof #40.
% 52.08/13.07 | |
% 52.08/13.07 | End of split
% 52.08/13.07 |
% 52.08/13.07 End of proof
% 52.08/13.07
% 52.08/13.07 Sub-proof #38 shows that the following formulas are inconsistent:
% 52.08/13.07 ----------------------------------------------------------------
% 52.08/13.07 (1) all_26_11 = e13
% 52.08/13.07 (2) ~ (e13 = e12)
% 52.08/13.07 (3) all_26_15 = e10
% 52.08/13.07 (4) ~ (e12 = e10)
% 52.08/13.07 (5) all_26_11 = e12 | all_26_15 = e12
% 52.08/13.07
% 52.08/13.07 Begin of proof
% 52.08/13.07 |
% 52.08/13.07 | BETA: splitting (5) gives:
% 52.08/13.07 |
% 52.08/13.07 | Case 1:
% 52.08/13.07 | |
% 52.08/13.07 | | (6) all_26_11 = e12
% 52.08/13.07 | |
% 52.08/13.07 | | COMBINE_EQS: (1), (6) imply:
% 52.08/13.07 | | (7) e13 = e12
% 52.08/13.07 | |
% 52.08/13.07 | | REDUCE: (2), (7) imply:
% 52.08/13.07 | | (8) $false
% 52.08/13.07 | |
% 52.08/13.07 | | CLOSE: (8) is inconsistent.
% 52.08/13.07 | |
% 52.08/13.07 | Case 2:
% 52.08/13.07 | |
% 52.08/13.07 | | (9) all_26_15 = e12
% 52.08/13.07 | |
% 52.08/13.07 | | COMBINE_EQS: (3), (9) imply:
% 52.08/13.07 | | (10) e12 = e10
% 52.08/13.07 | |
% 52.08/13.07 | | SIMP: (10) implies:
% 52.08/13.07 | | (11) e12 = e10
% 52.08/13.07 | |
% 52.08/13.07 | | REDUCE: (4), (11) imply:
% 52.08/13.07 | | (12) $false
% 52.08/13.07 | |
% 52.08/13.07 | | CLOSE: (12) is inconsistent.
% 52.08/13.07 | |
% 52.08/13.07 | End of split
% 52.08/13.07 |
% 52.08/13.07 End of proof
% 52.08/13.07
% 52.08/13.07 Sub-proof #39 shows that the following formulas are inconsistent:
% 52.08/13.07 ----------------------------------------------------------------
% 52.08/13.07 (1) ~ (all_12_4 = e10)
% 52.08/13.07 (2) all_20_1 = e13 | all_20_1 = e12 | all_20_1 = e10
% 52.08/13.07 (3) ~ (all_12_4 = e12)
% 52.08/13.07 (4) ~ (all_12_4 = e13)
% 52.08/13.07 (5) all_20_1 = all_12_4
% 52.08/13.07
% 52.08/13.07 Begin of proof
% 52.08/13.07 |
% 52.08/13.07 | BETA: splitting (2) gives:
% 52.08/13.07 |
% 52.08/13.07 | Case 1:
% 52.08/13.07 | |
% 52.08/13.07 | | (6) all_20_1 = e12
% 52.08/13.07 | |
% 52.08/13.07 | | COMBINE_EQS: (5), (6) imply:
% 52.08/13.07 | | (7) all_12_4 = e12
% 52.08/13.07 | |
% 52.08/13.07 | | REDUCE: (3), (7) imply:
% 52.08/13.07 | | (8) $false
% 52.08/13.07 | |
% 52.08/13.07 | | CLOSE: (8) is inconsistent.
% 52.08/13.07 | |
% 52.08/13.07 | Case 2:
% 52.08/13.07 | |
% 52.08/13.07 | | (9) all_20_1 = e13 | all_20_1 = e10
% 52.08/13.07 | |
% 52.08/13.07 | | REF_CLOSE: (1), (4), (5), (9) are inconsistent by sub-proof #40.
% 52.08/13.07 | |
% 52.08/13.07 | End of split
% 52.08/13.07 |
% 52.08/13.07 End of proof
% 52.08/13.07
% 52.08/13.07 Sub-proof #40 shows that the following formulas are inconsistent:
% 52.08/13.07 ----------------------------------------------------------------
% 52.08/13.07 (1) all_20_1 = e13 | all_20_1 = e10
% 52.08/13.07 (2) all_20_1 = all_12_4
% 52.08/13.07 (3) ~ (all_12_4 = e13)
% 52.08/13.07 (4) ~ (all_12_4 = e10)
% 52.08/13.07
% 52.08/13.07 Begin of proof
% 52.08/13.07 |
% 52.08/13.07 | BETA: splitting (1) gives:
% 52.08/13.07 |
% 52.08/13.07 | Case 1:
% 52.08/13.07 | |
% 52.08/13.07 | | (5) all_20_1 = e13
% 52.08/13.07 | |
% 52.08/13.07 | | COMBINE_EQS: (2), (5) imply:
% 52.08/13.07 | | (6) all_12_4 = e13
% 52.08/13.07 | |
% 52.08/13.07 | | SIMP: (6) implies:
% 52.08/13.07 | | (7) all_12_4 = e13
% 52.08/13.07 | |
% 52.08/13.07 | | REDUCE: (3), (7) imply:
% 52.08/13.07 | | (8) $false
% 52.08/13.07 | |
% 52.08/13.07 | | CLOSE: (8) is inconsistent.
% 52.08/13.07 | |
% 52.08/13.07 | Case 2:
% 52.08/13.07 | |
% 52.08/13.07 | | (9) all_20_1 = e10
% 52.08/13.07 | |
% 52.08/13.07 | | COMBINE_EQS: (2), (9) imply:
% 52.08/13.07 | | (10) all_12_4 = e10
% 52.08/13.07 | |
% 52.08/13.07 | | SIMP: (10) implies:
% 52.08/13.07 | | (11) all_12_4 = e10
% 52.08/13.07 | |
% 52.08/13.07 | | REDUCE: (4), (11) imply:
% 52.08/13.07 | | (12) $false
% 52.08/13.07 | |
% 52.08/13.07 | | CLOSE: (12) is inconsistent.
% 52.08/13.07 | |
% 52.08/13.07 | End of split
% 52.08/13.07 |
% 52.08/13.07 End of proof
% 52.08/13.07
% 52.08/13.07 Sub-proof #41 shows that the following formulas are inconsistent:
% 52.08/13.07 ----------------------------------------------------------------
% 52.08/13.07 (1) all_26_13 = all_12_7
% 52.08/13.07 (2) all_26_13 = e12
% 52.08/13.07 (3) ~ (all_12_7 = e12)
% 52.08/13.07
% 52.08/13.07 Begin of proof
% 52.08/13.07 |
% 52.08/13.07 | COMBINE_EQS: (1), (2) imply:
% 52.08/13.07 | (4) all_12_7 = e12
% 52.08/13.07 |
% 52.08/13.07 | SIMP: (4) implies:
% 52.08/13.07 | (5) all_12_7 = e12
% 52.08/13.07 |
% 52.08/13.07 | REDUCE: (3), (5) imply:
% 52.08/13.07 | (6) $false
% 52.08/13.07 |
% 52.08/13.07 | CLOSE: (6) is inconsistent.
% 52.08/13.07 |
% 52.08/13.07 End of proof
% 52.08/13.07
% 52.08/13.07 Sub-proof #42 shows that the following formulas are inconsistent:
% 52.08/13.07 ----------------------------------------------------------------
% 52.08/13.07 (1) ~ (all_12_3 = e10)
% 52.08/13.07 (2) ~ (all_12_3 = e12)
% 52.08/13.07 (3) all_20_12 = all_12_3
% 52.08/13.07 (4) ~ (all_12_3 = e13)
% 52.08/13.07 (5) all_20_12 = e13 | all_20_12 = e12 | all_20_12 = e10
% 52.08/13.07
% 52.08/13.07 Begin of proof
% 52.08/13.07 |
% 52.08/13.07 | BETA: splitting (5) gives:
% 52.08/13.07 |
% 52.08/13.07 | Case 1:
% 52.08/13.07 | |
% 52.08/13.07 | | (6) all_20_12 = e12
% 52.08/13.07 | |
% 52.08/13.07 | | COMBINE_EQS: (3), (6) imply:
% 52.08/13.07 | | (7) all_12_3 = e12
% 52.08/13.07 | |
% 52.08/13.07 | | SIMP: (7) implies:
% 52.08/13.07 | | (8) all_12_3 = e12
% 52.08/13.07 | |
% 52.08/13.07 | | REDUCE: (2), (8) imply:
% 52.08/13.07 | | (9) $false
% 52.08/13.07 | |
% 52.08/13.07 | | CLOSE: (9) is inconsistent.
% 52.08/13.07 | |
% 52.08/13.07 | Case 2:
% 52.08/13.07 | |
% 52.08/13.07 | | (10) all_20_12 = e13 | all_20_12 = e10
% 52.08/13.08 | |
% 52.08/13.08 | | REF_CLOSE: (1), (3), (4), (10) are inconsistent by sub-proof #43.
% 52.08/13.08 | |
% 52.08/13.08 | End of split
% 52.08/13.08 |
% 52.08/13.08 End of proof
% 52.08/13.08
% 52.08/13.08 Sub-proof #43 shows that the following formulas are inconsistent:
% 52.08/13.08 ----------------------------------------------------------------
% 52.08/13.08 (1) all_20_12 = e13 | all_20_12 = e10
% 52.08/13.08 (2) all_20_12 = all_12_3
% 52.08/13.08 (3) ~ (all_12_3 = e13)
% 52.08/13.08 (4) ~ (all_12_3 = e10)
% 52.08/13.08
% 52.08/13.08 Begin of proof
% 52.08/13.08 |
% 52.08/13.08 | BETA: splitting (1) gives:
% 52.08/13.08 |
% 52.08/13.08 | Case 1:
% 52.08/13.08 | |
% 52.08/13.08 | | (5) all_20_12 = e13
% 52.08/13.08 | |
% 52.08/13.08 | | COMBINE_EQS: (2), (5) imply:
% 52.08/13.08 | | (6) all_12_3 = e13
% 52.08/13.08 | |
% 52.08/13.08 | | REDUCE: (3), (6) imply:
% 52.08/13.08 | | (7) $false
% 52.08/13.08 | |
% 52.08/13.08 | | CLOSE: (7) is inconsistent.
% 52.08/13.08 | |
% 52.08/13.08 | Case 2:
% 52.08/13.08 | |
% 52.08/13.08 | | (8) all_20_12 = e10
% 52.08/13.08 | |
% 52.08/13.08 | | COMBINE_EQS: (2), (8) imply:
% 52.08/13.08 | | (9) all_12_3 = e10
% 52.08/13.08 | |
% 52.08/13.08 | | REDUCE: (4), (9) imply:
% 52.08/13.08 | | (10) $false
% 52.08/13.08 | |
% 52.08/13.08 | | CLOSE: (10) is inconsistent.
% 52.08/13.08 | |
% 52.08/13.08 | End of split
% 52.08/13.08 |
% 52.08/13.08 End of proof
% 52.08/13.08
% 52.08/13.08 Sub-proof #44 shows that the following formulas are inconsistent:
% 52.08/13.08 ----------------------------------------------------------------
% 52.08/13.08 (1) ~ (e13 = e11)
% 52.08/13.08 (2) ~ (e12 = e11)
% 52.08/13.08 (3) ~ (e13 = e12)
% 52.08/13.08 (4) all_26_3 = e13
% 52.08/13.08 (5) ~ (e11 = e10)
% 52.08/13.08 (6) all_26_2 = e11 | all_26_3 = e11 | all_26_5 = e11 | all_26_10 = e11
% 52.08/13.08 (7) ~ (e12 = e10)
% 52.08/13.08 (8) all_26_5 = e10
% 52.08/13.08 (9) all_26_3 = e12 | all_26_5 = e12 | all_26_10 = e12
% 52.08/13.08 (10) all_26_2 = all_12_1
% 52.08/13.08 (11) ~ (all_12_1 = e11)
% 52.08/13.08
% 52.08/13.08 Begin of proof
% 52.08/13.08 |
% 52.08/13.08 | BETA: splitting (9) gives:
% 52.08/13.08 |
% 52.08/13.08 | Case 1:
% 52.08/13.08 | |
% 52.08/13.08 | | (12) all_26_3 = e12
% 52.08/13.08 | |
% 52.08/13.08 | | COMBINE_EQS: (4), (12) imply:
% 52.08/13.08 | | (13) e13 = e12
% 52.08/13.08 | |
% 52.08/13.08 | | SIMP: (13) implies:
% 52.08/13.08 | | (14) e13 = e12
% 52.08/13.08 | |
% 52.08/13.08 | | REDUCE: (3), (14) imply:
% 52.08/13.08 | | (15) $false
% 52.08/13.08 | |
% 52.08/13.08 | | CLOSE: (15) is inconsistent.
% 52.08/13.08 | |
% 52.08/13.08 | Case 2:
% 52.08/13.08 | |
% 52.08/13.08 | | (16) all_26_5 = e12 | all_26_10 = e12
% 52.08/13.08 | |
% 52.08/13.08 | | BETA: splitting (16) gives:
% 52.08/13.08 | |
% 52.08/13.08 | | Case 1:
% 52.08/13.08 | | |
% 52.08/13.08 | | | (17) all_26_5 = e12
% 52.08/13.08 | | |
% 52.08/13.08 | | | COMBINE_EQS: (8), (17) imply:
% 52.08/13.08 | | | (18) e12 = e10
% 52.08/13.08 | | |
% 52.08/13.08 | | | REDUCE: (7), (18) imply:
% 52.08/13.08 | | | (19) $false
% 52.08/13.08 | | |
% 52.08/13.08 | | | CLOSE: (19) is inconsistent.
% 52.08/13.08 | | |
% 52.08/13.08 | | Case 2:
% 52.08/13.08 | | |
% 52.08/13.08 | | | (20) all_26_10 = e12
% 52.08/13.08 | | |
% 52.08/13.08 | | | REF_CLOSE: (1), (2), (4), (5), (6), (8), (10), (11), (20) are inconsistent
% 52.08/13.08 | | | by sub-proof #45.
% 52.08/13.08 | | |
% 52.08/13.08 | | End of split
% 52.08/13.08 | |
% 52.08/13.08 | End of split
% 52.08/13.08 |
% 52.08/13.08 End of proof
% 52.08/13.08
% 52.08/13.08 Sub-proof #45 shows that the following formulas are inconsistent:
% 52.08/13.08 ----------------------------------------------------------------
% 52.08/13.08 (1) ~ (e13 = e11)
% 52.08/13.08 (2) ~ (e12 = e11)
% 52.08/13.08 (3) all_26_10 = e12
% 52.08/13.08 (4) all_26_3 = e13
% 52.08/13.08 (5) ~ (e11 = e10)
% 52.08/13.08 (6) all_26_2 = e11 | all_26_3 = e11 | all_26_5 = e11 | all_26_10 = e11
% 52.08/13.08 (7) all_26_5 = e10
% 52.08/13.08 (8) all_26_2 = all_12_1
% 52.08/13.08 (9) ~ (all_12_1 = e11)
% 52.08/13.08
% 52.08/13.08 Begin of proof
% 52.08/13.08 |
% 52.08/13.08 | BETA: splitting (6) gives:
% 52.08/13.08 |
% 52.08/13.08 | Case 1:
% 52.08/13.08 | |
% 52.08/13.08 | | (10) all_26_2 = e11
% 52.08/13.08 | |
% 52.08/13.08 | | REF_CLOSE: (8), (9), (10) are inconsistent by sub-proof #48.
% 52.08/13.08 | |
% 52.08/13.08 | Case 2:
% 52.08/13.08 | |
% 52.08/13.08 | | (11) all_26_3 = e11 | all_26_5 = e11 | all_26_10 = e11
% 52.08/13.08 | |
% 52.08/13.08 | | BETA: splitting (11) gives:
% 52.08/13.08 | |
% 52.08/13.08 | | Case 1:
% 52.08/13.08 | | |
% 52.08/13.08 | | | (12) all_26_3 = e11
% 52.08/13.08 | | |
% 52.08/13.08 | | | COMBINE_EQS: (4), (12) imply:
% 52.08/13.08 | | | (13) e13 = e11
% 52.08/13.08 | | |
% 52.08/13.08 | | | SIMP: (13) implies:
% 52.08/13.08 | | | (14) e13 = e11
% 52.08/13.08 | | |
% 52.08/13.08 | | | REDUCE: (1), (14) imply:
% 52.08/13.08 | | | (15) $false
% 52.08/13.08 | | |
% 52.08/13.08 | | | CLOSE: (15) is inconsistent.
% 52.08/13.08 | | |
% 52.08/13.08 | | Case 2:
% 52.08/13.08 | | |
% 52.08/13.08 | | | (16) all_26_5 = e11 | all_26_10 = e11
% 52.08/13.08 | | |
% 52.08/13.08 | | | REF_CLOSE: (2), (3), (5), (7), (16) are inconsistent by sub-proof #46.
% 52.08/13.08 | | |
% 52.08/13.08 | | End of split
% 52.08/13.08 | |
% 52.08/13.08 | End of split
% 52.08/13.08 |
% 52.08/13.08 End of proof
% 52.08/13.08
% 52.08/13.08 Sub-proof #46 shows that the following formulas are inconsistent:
% 52.08/13.08 ----------------------------------------------------------------
% 52.08/13.08 (1) ~ (e12 = e11)
% 52.08/13.08 (2) all_26_10 = e12
% 52.08/13.08 (3) ~ (e11 = e10)
% 52.08/13.08 (4) all_26_5 = e11 | all_26_10 = e11
% 52.08/13.08 (5) all_26_5 = e10
% 52.08/13.08
% 52.08/13.08 Begin of proof
% 52.08/13.08 |
% 52.08/13.08 | BETA: splitting (4) gives:
% 52.08/13.08 |
% 52.08/13.08 | Case 1:
% 52.08/13.08 | |
% 52.08/13.08 | | (6) all_26_5 = e11
% 52.08/13.08 | |
% 52.08/13.08 | | COMBINE_EQS: (5), (6) imply:
% 52.08/13.08 | | (7) e11 = e10
% 52.08/13.08 | |
% 52.08/13.08 | | REDUCE: (3), (7) imply:
% 52.08/13.08 | | (8) $false
% 52.08/13.08 | |
% 52.08/13.08 | | CLOSE: (8) is inconsistent.
% 52.08/13.08 | |
% 52.08/13.08 | Case 2:
% 52.08/13.08 | |
% 52.08/13.08 | | (9) all_26_10 = e11
% 52.08/13.08 | |
% 52.08/13.08 | | REF_CLOSE: (1), (2), (9) are inconsistent by sub-proof #47.
% 52.08/13.08 | |
% 52.08/13.08 | End of split
% 52.08/13.08 |
% 52.08/13.08 End of proof
% 52.08/13.08
% 52.08/13.08 Sub-proof #47 shows that the following formulas are inconsistent:
% 52.08/13.08 ----------------------------------------------------------------
% 52.08/13.08 (1) all_26_10 = e12
% 52.08/13.08 (2) all_26_10 = e11
% 52.08/13.08 (3) ~ (e12 = e11)
% 52.08/13.08
% 52.08/13.08 Begin of proof
% 52.08/13.08 |
% 52.08/13.08 | COMBINE_EQS: (1), (2) imply:
% 52.08/13.08 | (4) e12 = e11
% 52.08/13.08 |
% 52.08/13.08 | SIMP: (4) implies:
% 52.08/13.08 | (5) e12 = e11
% 52.08/13.08 |
% 52.08/13.08 | REDUCE: (3), (5) imply:
% 52.08/13.08 | (6) $false
% 52.08/13.08 |
% 52.08/13.08 | CLOSE: (6) is inconsistent.
% 52.08/13.08 |
% 52.08/13.08 End of proof
% 52.08/13.08
% 52.08/13.08 Sub-proof #48 shows that the following formulas are inconsistent:
% 52.08/13.08 ----------------------------------------------------------------
% 52.08/13.08 (1) all_26_2 = all_12_1
% 52.08/13.09 (2) all_26_2 = e11
% 52.08/13.09 (3) ~ (all_12_1 = e11)
% 52.08/13.09
% 52.08/13.09 Begin of proof
% 52.08/13.09 |
% 52.08/13.09 | COMBINE_EQS: (1), (2) imply:
% 52.08/13.09 | (4) all_12_1 = e11
% 52.08/13.09 |
% 52.08/13.09 | SIMP: (4) implies:
% 52.08/13.09 | (5) all_12_1 = e11
% 52.08/13.09 |
% 52.08/13.09 | REDUCE: (3), (5) imply:
% 52.08/13.09 | (6) $false
% 52.08/13.09 |
% 52.08/13.09 | CLOSE: (6) is inconsistent.
% 52.08/13.09 |
% 52.08/13.09 End of proof
% 52.08/13.09
% 52.08/13.09 Sub-proof #49 shows that the following formulas are inconsistent:
% 52.08/13.09 ----------------------------------------------------------------
% 52.08/13.09 (1) all_22_12 = all_14_3
% 52.08/13.09 (2) all_22_12 = e21
% 52.08/13.09 (3) ~ (all_14_3 = e21)
% 52.08/13.09
% 52.08/13.09 Begin of proof
% 52.08/13.09 |
% 52.08/13.09 | COMBINE_EQS: (1), (2) imply:
% 52.08/13.09 | (4) all_14_3 = e21
% 52.08/13.09 |
% 52.08/13.09 | SIMP: (4) implies:
% 52.08/13.09 | (5) all_14_3 = e21
% 52.08/13.09 |
% 52.08/13.09 | REDUCE: (3), (5) imply:
% 52.08/13.09 | (6) $false
% 52.08/13.09 |
% 52.08/13.09 | CLOSE: (6) is inconsistent.
% 52.08/13.09 |
% 52.08/13.09 End of proof
% 52.08/13.09
% 52.08/13.09 Sub-proof #50 shows that the following formulas are inconsistent:
% 52.08/13.09 ----------------------------------------------------------------
% 52.08/13.09 (1) all_24_12 = all_14_3
% 52.08/13.09 (2) all_24_12 = e22
% 52.08/13.09 (3) ~ (all_14_3 = e22)
% 52.08/13.09
% 52.08/13.09 Begin of proof
% 52.08/13.09 |
% 52.08/13.09 | COMBINE_EQS: (1), (2) imply:
% 52.08/13.09 | (4) all_14_3 = e22
% 52.08/13.09 |
% 52.08/13.09 | SIMP: (4) implies:
% 52.08/13.09 | (5) all_14_3 = e22
% 52.08/13.09 |
% 52.08/13.09 | REDUCE: (3), (5) imply:
% 52.08/13.09 | (6) $false
% 52.08/13.09 |
% 52.08/13.09 | CLOSE: (6) is inconsistent.
% 52.08/13.09 |
% 52.08/13.09 End of proof
% 52.08/13.09
% 52.08/13.09 Sub-proof #51 shows that the following formulas are inconsistent:
% 52.08/13.09 ----------------------------------------------------------------
% 52.08/13.09 (1) all_22_8 = all_14_2
% 52.08/13.09 (2) all_22_8 = e21
% 52.08/13.09 (3) ~ (all_14_2 = e21)
% 52.08/13.09
% 52.08/13.09 Begin of proof
% 52.08/13.09 |
% 52.08/13.09 | COMBINE_EQS: (1), (2) imply:
% 52.08/13.09 | (4) all_14_2 = e21
% 52.08/13.09 |
% 52.08/13.09 | SIMP: (4) implies:
% 52.08/13.09 | (5) all_14_2 = e21
% 52.08/13.09 |
% 52.08/13.09 | REDUCE: (3), (5) imply:
% 52.08/13.09 | (6) $false
% 52.08/13.09 |
% 52.08/13.09 | CLOSE: (6) is inconsistent.
% 52.08/13.09 |
% 52.08/13.09 End of proof
% 52.08/13.09
% 52.08/13.09 Sub-proof #52 shows that the following formulas are inconsistent:
% 52.08/13.09 ----------------------------------------------------------------
% 52.08/13.09 (1) ~ (all_14_3 = e23)
% 52.08/13.09 (2) ~ (all_14_3 = e20)
% 52.08/13.09 (3) all_22_12 = e23 | all_22_12 = e22 | all_22_12 = e20
% 52.08/13.09 (4) all_22_12 = all_14_3
% 52.08/13.09 (5) ~ (all_24_12 = e22)
% 52.08/13.09 (6) all_24_12 = all_14_3
% 52.08/13.09
% 52.08/13.09 Begin of proof
% 52.08/13.09 |
% 52.08/13.09 | REDUCE: (5), (6) imply:
% 52.08/13.09 | (7) ~ (all_14_3 = e22)
% 52.08/13.09 |
% 52.08/13.09 | BETA: splitting (3) gives:
% 52.08/13.09 |
% 52.08/13.09 | Case 1:
% 52.08/13.09 | |
% 52.08/13.09 | | (8) all_22_12 = e22
% 52.08/13.09 | |
% 52.08/13.09 | | REF_CLOSE: (4), (7), (8) are inconsistent by sub-proof #53.
% 52.08/13.09 | |
% 52.08/13.09 | Case 2:
% 52.08/13.09 | |
% 52.08/13.09 | | (9) all_22_12 = e23 | all_22_12 = e20
% 52.08/13.09 | |
% 52.08/13.09 | | REF_CLOSE: (1), (2), (4), (9) are inconsistent by sub-proof #61.
% 52.08/13.09 | |
% 52.08/13.09 | End of split
% 52.08/13.09 |
% 52.08/13.09 End of proof
% 52.08/13.09
% 52.08/13.09 Sub-proof #53 shows that the following formulas are inconsistent:
% 52.08/13.09 ----------------------------------------------------------------
% 52.08/13.09 (1) all_22_12 = all_14_3
% 52.08/13.09 (2) all_22_12 = e22
% 52.08/13.09 (3) ~ (all_14_3 = e22)
% 52.08/13.09
% 52.08/13.09 Begin of proof
% 52.08/13.09 |
% 52.08/13.09 | COMBINE_EQS: (1), (2) imply:
% 52.08/13.09 | (4) all_14_3 = e22
% 52.08/13.09 |
% 52.08/13.09 | SIMP: (4) implies:
% 52.08/13.09 | (5) all_14_3 = e22
% 52.08/13.09 |
% 52.08/13.09 | REDUCE: (3), (5) imply:
% 52.08/13.09 | (6) $false
% 52.08/13.09 |
% 52.08/13.09 | CLOSE: (6) is inconsistent.
% 52.08/13.09 |
% 52.08/13.09 End of proof
% 52.08/13.09
% 52.08/13.09 Sub-proof #54 shows that the following formulas are inconsistent:
% 52.08/13.09 ----------------------------------------------------------------
% 52.08/13.09 (1) all_24_0 = all_8_1
% 52.08/13.09 (2) all_24_0 = e21
% 52.08/13.09 (3) ~ (all_8_1 = e21)
% 52.08/13.09
% 52.08/13.09 Begin of proof
% 52.08/13.09 |
% 52.08/13.09 | COMBINE_EQS: (1), (2) imply:
% 52.08/13.09 | (4) all_8_1 = e21
% 52.08/13.09 |
% 52.08/13.09 | SIMP: (4) implies:
% 52.08/13.09 | (5) all_8_1 = e21
% 52.08/13.09 |
% 52.08/13.09 | REDUCE: (3), (5) imply:
% 52.08/13.09 | (6) $false
% 52.08/13.09 |
% 52.08/13.09 | CLOSE: (6) is inconsistent.
% 52.08/13.09 |
% 52.08/13.09 End of proof
% 52.08/13.09
% 52.08/13.09 Sub-proof #55 shows that the following formulas are inconsistent:
% 52.08/13.09 ----------------------------------------------------------------
% 52.08/13.09 (1) ~ (all_14_13 = e23)
% 52.08/13.09 (2) all_24_10 = all_14_13
% 52.08/13.09 (3) all_24_3 = e21
% 52.08/13.09 (4) ~ (e23 = e22)
% 52.08/13.09 (5) all_24_2 = e23 | all_24_3 = e23 | all_24_5 = e23 | all_24_10 = e23
% 52.08/13.09 (6) ~ (e23 = e21)
% 52.08/13.09 (7) all_24_2 = e22
% 52.08/13.09 (8) ~ (e23 = e20)
% 52.08/13.09 (9) all_24_5 = e20
% 52.08/13.09
% 52.08/13.09 Begin of proof
% 52.08/13.09 |
% 52.08/13.09 | BETA: splitting (5) gives:
% 52.08/13.09 |
% 52.08/13.09 | Case 1:
% 52.08/13.09 | |
% 52.08/13.09 | | (10) all_24_2 = e23
% 52.08/13.09 | |
% 52.08/13.09 | | COMBINE_EQS: (7), (10) imply:
% 52.08/13.09 | | (11) e23 = e22
% 52.08/13.09 | |
% 52.08/13.09 | | REDUCE: (4), (11) imply:
% 52.08/13.09 | | (12) $false
% 52.08/13.09 | |
% 52.08/13.09 | | CLOSE: (12) is inconsistent.
% 52.08/13.09 | |
% 52.08/13.09 | Case 2:
% 52.08/13.09 | |
% 52.08/13.09 | | (13) all_24_3 = e23 | all_24_5 = e23 | all_24_10 = e23
% 52.08/13.09 | |
% 52.08/13.09 | | REF_CLOSE: (1), (2), (3), (6), (8), (9), (13) are inconsistent by sub-proof
% 52.08/13.09 | | #56.
% 52.08/13.09 | |
% 52.08/13.09 | End of split
% 52.08/13.09 |
% 52.08/13.09 End of proof
% 52.08/13.09
% 52.08/13.09 Sub-proof #56 shows that the following formulas are inconsistent:
% 52.08/13.09 ----------------------------------------------------------------
% 52.08/13.09 (1) ~ (all_14_13 = e23)
% 52.08/13.09 (2) all_24_3 = e23 | all_24_5 = e23 | all_24_10 = e23
% 52.08/13.09 (3) all_24_10 = all_14_13
% 52.08/13.09 (4) all_24_3 = e21
% 52.08/13.09 (5) ~ (e23 = e21)
% 52.08/13.09 (6) ~ (e23 = e20)
% 52.08/13.09 (7) all_24_5 = e20
% 52.08/13.09
% 52.08/13.09 Begin of proof
% 52.08/13.09 |
% 52.08/13.09 | BETA: splitting (2) gives:
% 52.08/13.09 |
% 52.08/13.09 | Case 1:
% 52.08/13.09 | |
% 52.08/13.09 | | (8) all_24_3 = e23
% 52.08/13.09 | |
% 52.08/13.09 | | COMBINE_EQS: (4), (8) imply:
% 52.08/13.09 | | (9) e23 = e21
% 52.08/13.09 | |
% 52.08/13.09 | | REDUCE: (5), (9) imply:
% 52.08/13.09 | | (10) $false
% 52.08/13.09 | |
% 52.08/13.09 | | CLOSE: (10) is inconsistent.
% 52.08/13.09 | |
% 52.08/13.09 | Case 2:
% 52.08/13.09 | |
% 52.08/13.09 | | (11) all_24_5 = e23 | all_24_10 = e23
% 52.08/13.09 | |
% 52.08/13.09 | | REF_CLOSE: (1), (3), (6), (7), (11) are inconsistent by sub-proof #57.
% 52.08/13.09 | |
% 52.08/13.09 | End of split
% 52.08/13.09 |
% 52.08/13.09 End of proof
% 52.08/13.09
% 52.08/13.09 Sub-proof #57 shows that the following formulas are inconsistent:
% 52.08/13.09 ----------------------------------------------------------------
% 52.08/13.09 (1) all_24_5 = e23 | all_24_10 = e23
% 52.08/13.09 (2) ~ (all_14_13 = e23)
% 52.08/13.09 (3) all_24_10 = all_14_13
% 52.08/13.09 (4) ~ (e23 = e20)
% 52.08/13.09 (5) all_24_5 = e20
% 52.08/13.09
% 52.08/13.09 Begin of proof
% 52.08/13.09 |
% 52.08/13.09 | BETA: splitting (1) gives:
% 52.08/13.09 |
% 52.08/13.09 | Case 1:
% 52.08/13.09 | |
% 52.08/13.09 | | (6) all_24_5 = e23
% 52.08/13.09 | |
% 52.08/13.09 | | COMBINE_EQS: (5), (6) imply:
% 52.08/13.09 | | (7) e23 = e20
% 52.08/13.09 | |
% 52.08/13.09 | | REDUCE: (4), (7) imply:
% 52.08/13.09 | | (8) $false
% 52.08/13.09 | |
% 52.08/13.09 | | CLOSE: (8) is inconsistent.
% 52.08/13.09 | |
% 52.08/13.09 | Case 2:
% 52.08/13.09 | |
% 52.08/13.09 | | (9) all_24_10 = e23
% 52.08/13.09 | |
% 52.08/13.09 | | COMBINE_EQS: (3), (9) imply:
% 52.08/13.09 | | (10) all_14_13 = e23
% 52.08/13.09 | |
% 52.08/13.09 | | SIMP: (10) implies:
% 52.08/13.09 | | (11) all_14_13 = e23
% 52.08/13.09 | |
% 52.08/13.09 | | REDUCE: (2), (11) imply:
% 52.08/13.09 | | (12) $false
% 52.08/13.09 | |
% 52.08/13.09 | | CLOSE: (12) is inconsistent.
% 52.08/13.09 | |
% 52.08/13.09 | End of split
% 52.08/13.09 |
% 52.08/13.09 End of proof
% 52.08/13.09
% 52.08/13.09 Sub-proof #58 shows that the following formulas are inconsistent:
% 52.08/13.09 ----------------------------------------------------------------
% 52.08/13.09 (1) ~ (e22 = e21)
% 52.08/13.09 (2) all_24_8 = e22
% 52.08/13.09 (3) all_24_11 = e23
% 52.08/13.09 (4) ~ (e23 = e21)
% 52.08/13.09 (5) all_24_8 = e21 | all_24_11 = e21
% 52.08/13.09
% 52.08/13.09 Begin of proof
% 52.08/13.09 |
% 52.08/13.09 | BETA: splitting (5) gives:
% 52.08/13.09 |
% 52.08/13.09 | Case 1:
% 52.08/13.09 | |
% 52.08/13.09 | | (6) all_24_8 = e21
% 52.08/13.09 | |
% 52.08/13.09 | | REF_CLOSE: (1), (2), (6) are inconsistent by sub-proof #75.
% 52.08/13.09 | |
% 52.08/13.09 | Case 2:
% 52.08/13.09 | |
% 52.08/13.09 | | (7) all_24_11 = e21
% 52.08/13.09 | |
% 52.08/13.09 | | REF_CLOSE: (3), (4), (7) are inconsistent by sub-proof #59.
% 52.08/13.09 | |
% 52.08/13.09 | End of split
% 52.08/13.09 |
% 52.08/13.09 End of proof
% 52.08/13.09
% 52.08/13.09 Sub-proof #59 shows that the following formulas are inconsistent:
% 52.08/13.09 ----------------------------------------------------------------
% 52.08/13.09 (1) all_24_11 = e23
% 52.08/13.09 (2) all_24_11 = e21
% 52.08/13.09 (3) ~ (e23 = e21)
% 52.08/13.09
% 52.08/13.09 Begin of proof
% 52.08/13.09 |
% 52.08/13.09 | COMBINE_EQS: (1), (2) imply:
% 52.08/13.09 | (4) e23 = e21
% 52.08/13.09 |
% 52.08/13.09 | SIMP: (4) implies:
% 52.08/13.09 | (5) e23 = e21
% 52.08/13.09 |
% 52.08/13.09 | REDUCE: (3), (5) imply:
% 52.08/13.09 | (6) $false
% 52.08/13.09 |
% 52.08/13.09 | CLOSE: (6) is inconsistent.
% 52.08/13.09 |
% 52.08/13.09 End of proof
% 52.08/13.09
% 52.08/13.09 Sub-proof #60 shows that the following formulas are inconsistent:
% 52.08/13.09 ----------------------------------------------------------------
% 52.08/13.09 (1) op2(e21, e21) = e22
% 52.08/13.09 (2) ~ (all_14_6 = e22)
% 52.08/13.09 (3) op2(all_14_6, all_14_6) = e21
% 52.08/13.10 (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.08/13.10 (op2(v3, v2) = v1) | ~ (op2(v3, v2) = v0))
% 52.08/13.10 (5) all_14_6 = e21
% 52.08/13.10
% 52.08/13.10 Begin of proof
% 52.08/13.10 |
% 52.08/13.10 | SIMP: (5) implies:
% 52.08/13.10 | (6) all_14_6 = e21
% 52.08/13.10 |
% 52.08/13.10 | REDUCE: (2), (6) imply:
% 52.08/13.10 | (7) ~ (e22 = e21)
% 52.08/13.10 |
% 52.08/13.10 | SIMP: (7) implies:
% 52.08/13.10 | (8) ~ (e22 = e21)
% 52.08/13.10 |
% 52.08/13.10 | REDUCE: (3), (6) imply:
% 52.08/13.10 | (9) op2(e21, e21) = e21
% 52.08/13.10 |
% 52.08/13.10 | REF_CLOSE: (1), (4), (8), (9) are inconsistent by sub-proof #94.
% 52.08/13.10 |
% 52.08/13.10 End of proof
% 52.08/13.10
% 52.08/13.10 Sub-proof #61 shows that the following formulas are inconsistent:
% 52.08/13.10 ----------------------------------------------------------------
% 52.08/13.10 (1) all_22_12 = e23 | all_22_12 = e20
% 52.08/13.10 (2) all_22_12 = all_14_3
% 52.08/13.10 (3) ~ (all_14_3 = e23)
% 52.08/13.10 (4) ~ (all_14_3 = e20)
% 52.08/13.10
% 52.08/13.10 Begin of proof
% 52.08/13.10 |
% 52.08/13.10 | BETA: splitting (1) gives:
% 52.08/13.10 |
% 52.08/13.10 | Case 1:
% 52.08/13.10 | |
% 52.08/13.10 | | (5) all_22_12 = e23
% 52.08/13.10 | |
% 52.08/13.10 | | COMBINE_EQS: (2), (5) imply:
% 52.08/13.10 | | (6) all_14_3 = e23
% 52.08/13.10 | |
% 52.08/13.10 | | SIMP: (6) implies:
% 52.08/13.10 | | (7) all_14_3 = e23
% 52.08/13.10 | |
% 52.08/13.10 | | REDUCE: (3), (7) imply:
% 52.08/13.10 | | (8) $false
% 52.08/13.10 | |
% 52.08/13.10 | | CLOSE: (8) is inconsistent.
% 52.08/13.10 | |
% 52.08/13.10 | Case 2:
% 52.08/13.10 | |
% 52.08/13.10 | | (9) all_22_12 = e20
% 52.08/13.10 | |
% 52.08/13.10 | | COMBINE_EQS: (2), (9) imply:
% 52.08/13.10 | | (10) all_14_3 = e20
% 52.08/13.10 | |
% 52.08/13.10 | | SIMP: (10) implies:
% 52.08/13.10 | | (11) all_14_3 = e20
% 52.08/13.10 | |
% 52.08/13.10 | | REDUCE: (4), (11) imply:
% 52.08/13.10 | | (12) $false
% 52.08/13.10 | |
% 52.08/13.10 | | CLOSE: (12) is inconsistent.
% 52.08/13.10 | |
% 52.08/13.10 | End of split
% 52.08/13.10 |
% 52.08/13.10 End of proof
% 52.08/13.10
% 52.08/13.10 Sub-proof #62 shows that the following formulas are inconsistent:
% 52.08/13.10 ----------------------------------------------------------------
% 52.08/13.10 (1) all_22_4 = e23 | all_22_4 = e22 | all_22_4 = e20
% 52.08/13.10 (2) ~ (all_14_1 = all_8_1)
% 52.08/13.10 (3) ~ (all_14_1 = e20)
% 52.08/13.10 (4) ~ (all_14_1 = e22)
% 52.08/13.10 (5) all_22_4 = all_14_1
% 52.08/13.10 (6) all_22_0 = all_8_1
% 52.08/13.10 (7) ~ (all_8_1 = e20)
% 52.08/13.10 (8) all_22_0 = e23 | all_22_0 = e20
% 52.08/13.10
% 52.08/13.10 Begin of proof
% 52.08/13.10 |
% 52.08/13.10 | BETA: splitting (1) gives:
% 52.08/13.10 |
% 52.08/13.10 | Case 1:
% 52.08/13.10 | |
% 52.08/13.10 | | (9) all_22_4 = e22
% 52.08/13.10 | |
% 52.08/13.10 | | COMBINE_EQS: (5), (9) imply:
% 52.08/13.10 | | (10) all_14_1 = e22
% 52.08/13.10 | |
% 52.08/13.10 | | SIMP: (10) implies:
% 52.08/13.10 | | (11) all_14_1 = e22
% 52.08/13.10 | |
% 52.08/13.10 | | REDUCE: (4), (11) imply:
% 52.08/13.10 | | (12) $false
% 52.08/13.10 | |
% 52.08/13.10 | | CLOSE: (12) is inconsistent.
% 52.08/13.10 | |
% 52.08/13.10 | Case 2:
% 52.08/13.10 | |
% 52.08/13.10 | | (13) all_22_4 = e23 | all_22_4 = e20
% 52.08/13.10 | |
% 52.08/13.10 | | BETA: splitting (8) gives:
% 52.08/13.10 | |
% 52.08/13.10 | | Case 1:
% 52.08/13.10 | | |
% 52.08/13.10 | | | (14) all_22_0 = e23
% 52.08/13.10 | | |
% 52.08/13.10 | | | COMBINE_EQS: (6), (14) imply:
% 52.08/13.10 | | | (15) all_8_1 = e23
% 52.08/13.10 | | |
% 52.08/13.10 | | | SIMP: (15) implies:
% 52.08/13.10 | | | (16) all_8_1 = e23
% 52.08/13.10 | | |
% 52.08/13.10 | | | REDUCE: (2), (16) imply:
% 52.08/13.10 | | | (17) ~ (all_14_1 = e23)
% 52.08/13.10 | | |
% 52.08/13.10 | | | REF_CLOSE: (3), (5), (13), (17) are inconsistent by sub-proof #63.
% 52.08/13.10 | | |
% 52.08/13.10 | | Case 2:
% 52.08/13.10 | | |
% 52.08/13.10 | | | (18) all_22_0 = e20
% 52.08/13.10 | | |
% 52.08/13.10 | | | REF_CLOSE: (6), (7), (18) are inconsistent by sub-proof #77.
% 52.08/13.10 | | |
% 52.08/13.10 | | End of split
% 52.08/13.10 | |
% 52.08/13.10 | End of split
% 52.08/13.10 |
% 52.08/13.10 End of proof
% 52.08/13.10
% 52.08/13.10 Sub-proof #63 shows that the following formulas are inconsistent:
% 52.08/13.10 ----------------------------------------------------------------
% 52.08/13.10 (1) all_22_4 = e23 | all_22_4 = e20
% 52.08/13.10 (2) all_22_4 = all_14_1
% 52.08/13.10 (3) ~ (all_14_1 = e23)
% 52.08/13.10 (4) ~ (all_14_1 = e20)
% 52.08/13.10
% 52.08/13.10 Begin of proof
% 52.08/13.10 |
% 52.08/13.10 | BETA: splitting (1) gives:
% 52.08/13.10 |
% 52.08/13.10 | Case 1:
% 52.08/13.10 | |
% 52.08/13.10 | | (5) all_22_4 = e23
% 52.08/13.10 | |
% 52.08/13.10 | | COMBINE_EQS: (2), (5) imply:
% 52.08/13.10 | | (6) all_14_1 = e23
% 52.08/13.10 | |
% 52.08/13.10 | | SIMP: (6) implies:
% 52.08/13.10 | | (7) all_14_1 = e23
% 52.08/13.10 | |
% 52.08/13.10 | | REDUCE: (3), (7) imply:
% 52.08/13.10 | | (8) $false
% 52.08/13.10 | |
% 52.08/13.10 | | CLOSE: (8) is inconsistent.
% 52.08/13.10 | |
% 52.08/13.10 | Case 2:
% 52.08/13.10 | |
% 52.08/13.10 | | (9) all_22_4 = e20
% 52.08/13.10 | |
% 52.08/13.10 | | REF_CLOSE: (2), (4), (9) are inconsistent by sub-proof #64.
% 52.08/13.10 | |
% 52.08/13.10 | End of split
% 52.08/13.10 |
% 52.08/13.10 End of proof
% 52.08/13.10
% 52.08/13.10 Sub-proof #64 shows that the following formulas are inconsistent:
% 52.08/13.10 ----------------------------------------------------------------
% 52.08/13.10 (1) all_22_4 = all_14_1
% 52.08/13.10 (2) all_22_4 = e20
% 52.08/13.10 (3) ~ (all_14_1 = e20)
% 52.08/13.10
% 52.08/13.10 Begin of proof
% 52.08/13.10 |
% 52.08/13.10 | COMBINE_EQS: (1), (2) imply:
% 52.08/13.10 | (4) all_14_1 = e20
% 52.08/13.10 |
% 52.08/13.10 | SIMP: (4) implies:
% 52.08/13.10 | (5) all_14_1 = e20
% 52.08/13.10 |
% 52.08/13.10 | REDUCE: (3), (5) imply:
% 52.08/13.10 | (6) $false
% 52.08/13.10 |
% 52.08/13.10 | CLOSE: (6) is inconsistent.
% 52.08/13.10 |
% 52.08/13.10 End of proof
% 52.08/13.10
% 52.08/13.10 Sub-proof #65 shows that the following formulas are inconsistent:
% 52.08/13.10 ----------------------------------------------------------------
% 52.08/13.10 (1) all_22_4 = all_14_1
% 52.08/13.10 (2) all_22_4 = e21
% 52.08/13.10 (3) ~ (all_14_1 = e21)
% 52.08/13.10
% 52.08/13.10 Begin of proof
% 52.08/13.10 |
% 52.08/13.10 | COMBINE_EQS: (1), (2) imply:
% 52.08/13.10 | (4) all_14_1 = e21
% 52.08/13.10 |
% 52.08/13.10 | SIMP: (4) implies:
% 52.08/13.10 | (5) all_14_1 = e21
% 52.08/13.10 |
% 52.08/13.10 | REDUCE: (3), (5) imply:
% 52.08/13.10 | (6) $false
% 52.08/13.10 |
% 52.08/13.10 | CLOSE: (6) is inconsistent.
% 52.08/13.10 |
% 52.08/13.10 End of proof
% 52.08/13.10
% 52.08/13.10 Sub-proof #66 shows that the following formulas are inconsistent:
% 52.08/13.10 ----------------------------------------------------------------
% 52.08/13.10 (1) all_22_0 = all_8_1
% 52.08/13.10 (2) all_22_0 = e22
% 52.08/13.10 (3) ~ (all_8_1 = e22)
% 52.08/13.10
% 52.08/13.10 Begin of proof
% 52.08/13.10 |
% 52.08/13.10 | COMBINE_EQS: (1), (2) imply:
% 52.08/13.10 | (4) all_8_1 = e22
% 52.08/13.10 |
% 52.08/13.10 | SIMP: (4) implies:
% 52.08/13.10 | (5) all_8_1 = e22
% 52.08/13.10 |
% 52.08/13.10 | REDUCE: (3), (5) imply:
% 52.08/13.10 | (6) $false
% 52.08/13.10 |
% 52.08/13.10 | CLOSE: (6) is inconsistent.
% 52.08/13.10 |
% 52.08/13.10 End of proof
% 52.08/13.10
% 52.08/13.10 Sub-proof #67 shows that the following formulas are inconsistent:
% 52.08/13.10 ----------------------------------------------------------------
% 52.08/13.10 (1) all_22_9 = e23 | all_22_9 = e22 | all_22_9 = e20
% 52.08/13.10 (2) all_22_9 = all_14_6
% 52.08/13.10 (3) ~ (all_14_6 = e22)
% 52.08/13.10 (4) ~ (all_24_7 = e20)
% 52.08/13.10 (5) all_24_7 = all_14_6
% 52.08/13.10 (6) ~ (all_14_6 = e23)
% 52.08/13.10
% 52.08/13.10 Begin of proof
% 52.08/13.10 |
% 52.08/13.10 | REDUCE: (4), (5) imply:
% 52.08/13.10 | (7) ~ (all_14_6 = e20)
% 52.08/13.10 |
% 52.08/13.10 | BETA: splitting (1) gives:
% 52.08/13.10 |
% 52.08/13.10 | Case 1:
% 52.08/13.10 | |
% 52.08/13.10 | | (8) all_22_9 = e22
% 52.08/13.10 | |
% 52.08/13.10 | | REF_CLOSE: (2), (3), (8) are inconsistent by sub-proof #69.
% 52.08/13.10 | |
% 52.08/13.10 | Case 2:
% 52.08/13.10 | |
% 52.08/13.10 | | (9) all_22_9 = e23 | all_22_9 = e20
% 52.08/13.10 | |
% 52.08/13.10 | | BETA: splitting (9) gives:
% 52.08/13.10 | |
% 52.08/13.10 | | Case 1:
% 52.08/13.10 | | |
% 52.08/13.10 | | | (10) all_22_9 = e23
% 52.08/13.10 | | |
% 52.08/13.10 | | | REF_CLOSE: (2), (6), (10) are inconsistent by sub-proof #68.
% 52.08/13.10 | | |
% 52.08/13.10 | | Case 2:
% 52.08/13.10 | | |
% 52.08/13.10 | | | (11) all_22_9 = e20
% 52.08/13.10 | | |
% 52.08/13.10 | | | COMBINE_EQS: (2), (11) imply:
% 52.08/13.10 | | | (12) all_14_6 = e20
% 52.08/13.11 | | |
% 52.08/13.11 | | | SIMP: (12) implies:
% 52.08/13.11 | | | (13) all_14_6 = e20
% 52.08/13.11 | | |
% 52.08/13.11 | | | REDUCE: (7), (13) imply:
% 52.08/13.11 | | | (14) $false
% 52.08/13.11 | | |
% 52.08/13.11 | | | CLOSE: (14) is inconsistent.
% 52.08/13.11 | | |
% 52.08/13.11 | | End of split
% 52.08/13.11 | |
% 52.08/13.11 | End of split
% 52.08/13.11 |
% 52.08/13.11 End of proof
% 52.08/13.11
% 52.08/13.11 Sub-proof #68 shows that the following formulas are inconsistent:
% 52.08/13.11 ----------------------------------------------------------------
% 52.08/13.11 (1) all_22_9 = all_14_6
% 52.08/13.11 (2) all_22_9 = e23
% 52.08/13.11 (3) ~ (all_14_6 = e23)
% 52.08/13.11
% 52.08/13.11 Begin of proof
% 52.08/13.11 |
% 52.08/13.11 | COMBINE_EQS: (1), (2) imply:
% 52.08/13.11 | (4) all_14_6 = e23
% 52.08/13.11 |
% 52.08/13.11 | SIMP: (4) implies:
% 52.08/13.11 | (5) all_14_6 = e23
% 52.08/13.11 |
% 52.08/13.11 | REDUCE: (3), (5) imply:
% 52.08/13.11 | (6) $false
% 52.08/13.11 |
% 52.08/13.11 | CLOSE: (6) is inconsistent.
% 52.08/13.11 |
% 52.08/13.11 End of proof
% 52.08/13.11
% 52.08/13.11 Sub-proof #69 shows that the following formulas are inconsistent:
% 52.08/13.11 ----------------------------------------------------------------
% 52.08/13.11 (1) all_22_9 = all_14_6
% 52.08/13.11 (2) all_22_9 = e22
% 52.08/13.11 (3) ~ (all_14_6 = e22)
% 52.08/13.11
% 52.08/13.11 Begin of proof
% 52.08/13.11 |
% 52.08/13.11 | COMBINE_EQS: (1), (2) imply:
% 52.08/13.11 | (4) all_14_6 = e22
% 52.08/13.11 |
% 52.08/13.11 | SIMP: (4) implies:
% 52.08/13.11 | (5) all_14_6 = e22
% 52.08/13.11 |
% 52.08/13.11 | REDUCE: (3), (5) imply:
% 52.08/13.11 | (6) $false
% 52.08/13.11 |
% 52.08/13.11 | CLOSE: (6) is inconsistent.
% 52.08/13.11 |
% 52.08/13.11 End of proof
% 52.08/13.11
% 52.08/13.11 Sub-proof #70 shows that the following formulas are inconsistent:
% 52.08/13.11 ----------------------------------------------------------------
% 52.08/13.11 (1) op2(e20, e20) = all_18_0
% 52.08/13.11 (2) op2(e20, e20) = e21
% 52.08/13.11 (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.08/13.11 (op2(v3, v2) = v1) | ~ (op2(v3, v2) = v0))
% 52.08/13.11 (4) op2(e20, e20) = e20
% 52.08/13.11 (5) ~ (e21 = e20)
% 52.08/13.11
% 52.08/13.11 Begin of proof
% 52.08/13.11 |
% 52.08/13.11 | GROUND_INST: instantiating (3) with e20, all_18_0, e20, e20, simplifying with
% 52.08/13.11 | (1), (4) gives:
% 52.08/13.11 | (6) all_18_0 = e20
% 52.08/13.11 |
% 52.08/13.11 | GROUND_INST: instantiating (3) with e21, all_18_0, e20, e20, simplifying with
% 52.08/13.11 | (1), (2) gives:
% 52.08/13.11 | (7) all_18_0 = e21
% 52.08/13.11 |
% 52.08/13.11 | COMBINE_EQS: (6), (7) imply:
% 52.08/13.11 | (8) e21 = e20
% 52.08/13.11 |
% 52.08/13.11 | REDUCE: (5), (8) imply:
% 52.08/13.11 | (9) $false
% 52.08/13.11 |
% 52.08/13.11 | CLOSE: (9) is inconsistent.
% 52.08/13.11 |
% 52.08/13.11 End of proof
% 52.08/13.11
% 52.08/13.11 Sub-proof #71 shows that the following formulas are inconsistent:
% 52.08/13.11 ----------------------------------------------------------------
% 52.08/13.11 (1) all_22_7 = e23 | all_22_7 = e20
% 52.08/13.11 (2) all_22_7 = all_14_13
% 52.08/13.11 (3) ~ (all_14_13 = e23)
% 52.08/13.11 (4) ~ (all_14_13 = e20)
% 52.08/13.11
% 52.08/13.11 Begin of proof
% 52.08/13.11 |
% 52.08/13.11 | BETA: splitting (1) gives:
% 52.08/13.11 |
% 52.08/13.11 | Case 1:
% 52.08/13.11 | |
% 52.08/13.11 | | (5) all_22_7 = e23
% 52.08/13.11 | |
% 52.08/13.11 | | COMBINE_EQS: (2), (5) imply:
% 52.08/13.11 | | (6) all_14_13 = e23
% 52.08/13.11 | |
% 52.08/13.11 | | SIMP: (6) implies:
% 52.08/13.11 | | (7) all_14_13 = e23
% 52.08/13.11 | |
% 52.08/13.11 | | REDUCE: (3), (7) imply:
% 52.08/13.11 | | (8) $false
% 52.08/13.11 | |
% 52.08/13.11 | | CLOSE: (8) is inconsistent.
% 52.08/13.11 | |
% 52.08/13.11 | Case 2:
% 52.08/13.11 | |
% 52.08/13.11 | | (9) all_22_7 = e20
% 52.08/13.11 | |
% 52.08/13.11 | | COMBINE_EQS: (2), (9) imply:
% 52.08/13.11 | | (10) all_14_13 = e20
% 52.08/13.11 | |
% 52.08/13.11 | | SIMP: (10) implies:
% 52.08/13.11 | | (11) all_14_13 = e20
% 52.08/13.11 | |
% 52.08/13.11 | | REDUCE: (4), (11) imply:
% 52.08/13.11 | | (12) $false
% 52.08/13.11 | |
% 52.08/13.11 | | CLOSE: (12) is inconsistent.
% 52.08/13.11 | |
% 52.08/13.11 | End of split
% 52.08/13.11 |
% 52.08/13.11 End of proof
% 52.08/13.11
% 52.08/13.11 Sub-proof #72 shows that the following formulas are inconsistent:
% 52.08/13.11 ----------------------------------------------------------------
% 52.08/13.11 (1) ~ (all_14_12 = e23)
% 52.08/13.11 (2) all_22_3 = all_14_12
% 52.08/13.11 (3) ~ (all_14_12 = e20)
% 52.08/13.11 (4) ~ (all_14_12 = e22)
% 52.08/13.11 (5) all_22_3 = e23 | all_22_3 = e22 | all_22_3 = e20
% 52.08/13.11
% 52.08/13.11 Begin of proof
% 52.08/13.11 |
% 52.08/13.11 | BETA: splitting (5) gives:
% 52.08/13.11 |
% 52.08/13.11 | Case 1:
% 52.08/13.11 | |
% 52.08/13.11 | | (6) all_22_3 = e22
% 52.08/13.11 | |
% 52.08/13.11 | | COMBINE_EQS: (2), (6) imply:
% 52.08/13.11 | | (7) all_14_12 = e22
% 52.08/13.11 | |
% 52.08/13.11 | | SIMP: (7) implies:
% 52.08/13.11 | | (8) all_14_12 = e22
% 52.08/13.11 | |
% 52.08/13.11 | | REDUCE: (4), (8) imply:
% 52.08/13.11 | | (9) $false
% 52.08/13.11 | |
% 52.08/13.11 | | CLOSE: (9) is inconsistent.
% 52.08/13.11 | |
% 52.08/13.11 | Case 2:
% 52.08/13.11 | |
% 52.08/13.11 | | (10) all_22_3 = e23 | all_22_3 = e20
% 52.08/13.11 | |
% 52.08/13.11 | | REF_CLOSE: (1), (2), (3), (10) are inconsistent by sub-proof #82.
% 52.08/13.11 | |
% 52.08/13.11 | End of split
% 52.08/13.11 |
% 52.08/13.11 End of proof
% 52.08/13.11
% 52.08/13.11 Sub-proof #73 shows that the following formulas are inconsistent:
% 52.08/13.11 ----------------------------------------------------------------
% 52.08/13.11 (1) all_22_2 = all_14_8
% 52.08/13.11 (2) all_22_2 = e20
% 52.08/13.11 (3) ~ (all_14_8 = e20)
% 52.08/13.11
% 52.08/13.11 Begin of proof
% 52.08/13.11 |
% 52.08/13.11 | COMBINE_EQS: (1), (2) imply:
% 52.08/13.11 | (4) all_14_8 = e20
% 52.08/13.11 |
% 52.08/13.11 | SIMP: (4) implies:
% 52.08/13.11 | (5) all_14_8 = e20
% 52.08/13.11 |
% 52.08/13.11 | REDUCE: (3), (5) imply:
% 52.08/13.11 | (6) $false
% 52.08/13.11 |
% 52.08/13.11 | CLOSE: (6) is inconsistent.
% 52.08/13.11 |
% 52.08/13.11 End of proof
% 52.08/13.11
% 52.08/13.11 Sub-proof #74 shows that the following formulas are inconsistent:
% 52.08/13.11 ----------------------------------------------------------------
% 52.08/13.11 (1) ~ (e22 = e21)
% 52.08/13.11 (2) all_24_8 = e22
% 52.08/13.11 (3) all_24_14 = all_14_11
% 52.08/13.11 (4) all_24_4 = e23
% 52.08/13.11 (5) ~ (e23 = e21)
% 52.08/13.11 (6) ~ (e21 = e20)
% 52.08/13.11 (7) ~ (all_14_11 = e21)
% 52.08/13.11 (8) all_24_4 = e21 | all_24_5 = e21 | all_24_8 = e21 | all_24_14 = e21
% 52.08/13.11 (9) all_24_5 = e20
% 52.08/13.11
% 52.08/13.11 Begin of proof
% 52.08/13.11 |
% 52.08/13.11 | BETA: splitting (8) gives:
% 52.08/13.11 |
% 52.08/13.11 | Case 1:
% 52.08/13.11 | |
% 52.08/13.11 | | (10) all_24_4 = e21
% 52.08/13.11 | |
% 52.08/13.11 | | COMBINE_EQS: (4), (10) imply:
% 52.08/13.11 | | (11) e23 = e21
% 52.08/13.11 | |
% 52.08/13.11 | | SIMP: (11) implies:
% 52.08/13.11 | | (12) e23 = e21
% 52.08/13.11 | |
% 52.08/13.11 | | REDUCE: (5), (12) imply:
% 52.08/13.11 | | (13) $false
% 52.08/13.11 | |
% 52.08/13.11 | | CLOSE: (13) is inconsistent.
% 52.08/13.11 | |
% 52.08/13.11 | Case 2:
% 52.08/13.11 | |
% 52.08/13.11 | | (14) all_24_5 = e21 | all_24_8 = e21 | all_24_14 = e21
% 52.08/13.11 | |
% 52.08/13.11 | | BETA: splitting (14) gives:
% 52.08/13.11 | |
% 52.08/13.11 | | Case 1:
% 52.08/13.11 | | |
% 52.08/13.12 | | | (15) all_24_5 = e21
% 52.08/13.12 | | |
% 52.08/13.12 | | | COMBINE_EQS: (9), (15) imply:
% 52.08/13.12 | | | (16) e21 = e20
% 52.08/13.12 | | |
% 52.08/13.12 | | | SIMP: (16) implies:
% 52.08/13.12 | | | (17) e21 = e20
% 52.08/13.12 | | |
% 52.08/13.12 | | | REDUCE: (6), (17) imply:
% 52.08/13.12 | | | (18) $false
% 52.08/13.12 | | |
% 52.08/13.12 | | | CLOSE: (18) is inconsistent.
% 52.08/13.12 | | |
% 52.08/13.12 | | Case 2:
% 52.08/13.12 | | |
% 52.08/13.12 | | | (19) all_24_8 = e21 | all_24_14 = e21
% 52.08/13.12 | | |
% 52.08/13.12 | | | BETA: splitting (19) gives:
% 52.08/13.12 | | |
% 52.08/13.12 | | | Case 1:
% 52.08/13.12 | | | |
% 52.08/13.12 | | | | (20) all_24_8 = e21
% 52.08/13.12 | | | |
% 52.08/13.12 | | | | REF_CLOSE: (1), (2), (20) are inconsistent by sub-proof #75.
% 52.08/13.12 | | | |
% 52.08/13.12 | | | Case 2:
% 52.08/13.12 | | | |
% 52.08/13.12 | | | | (21) all_24_14 = e21
% 52.08/13.12 | | | |
% 52.08/13.12 | | | | COMBINE_EQS: (3), (21) imply:
% 52.08/13.12 | | | | (22) all_14_11 = e21
% 52.08/13.12 | | | |
% 52.08/13.12 | | | | SIMP: (22) implies:
% 52.08/13.12 | | | | (23) all_14_11 = e21
% 52.08/13.12 | | | |
% 52.08/13.12 | | | | REDUCE: (7), (23) imply:
% 52.08/13.12 | | | | (24) $false
% 52.08/13.12 | | | |
% 52.08/13.12 | | | | CLOSE: (24) is inconsistent.
% 52.08/13.12 | | | |
% 52.08/13.12 | | | End of split
% 52.08/13.12 | | |
% 52.08/13.12 | | End of split
% 52.08/13.12 | |
% 52.08/13.12 | End of split
% 52.08/13.12 |
% 52.08/13.12 End of proof
% 52.08/13.12
% 52.08/13.12 Sub-proof #75 shows that the following formulas are inconsistent:
% 52.08/13.12 ----------------------------------------------------------------
% 52.08/13.12 (1) all_24_8 = e22
% 52.08/13.12 (2) all_24_8 = e21
% 52.08/13.12 (3) ~ (e22 = e21)
% 52.08/13.12
% 52.08/13.12 Begin of proof
% 52.08/13.12 |
% 52.08/13.12 | COMBINE_EQS: (1), (2) imply:
% 52.08/13.12 | (4) e22 = e21
% 52.08/13.12 |
% 52.08/13.12 | SIMP: (4) implies:
% 52.08/13.12 | (5) e22 = e21
% 52.08/13.12 |
% 52.08/13.12 | REDUCE: (3), (5) imply:
% 52.08/13.12 | (6) $false
% 52.08/13.12 |
% 52.08/13.12 | CLOSE: (6) is inconsistent.
% 52.08/13.12 |
% 52.08/13.12 End of proof
% 52.08/13.12
% 52.08/13.12 Sub-proof #76 shows that the following formulas are inconsistent:
% 52.08/13.12 ----------------------------------------------------------------
% 52.08/13.12 (1) all_22_0 = e23 | all_22_0 = e20
% 52.08/13.12 (2) all_22_0 = all_8_1
% 52.08/13.12 (3) ~ (all_8_1 = e23)
% 52.08/13.12 (4) ~ (all_8_1 = e20)
% 52.08/13.12
% 52.08/13.12 Begin of proof
% 52.08/13.12 |
% 52.08/13.12 | BETA: splitting (1) gives:
% 52.08/13.12 |
% 52.08/13.12 | Case 1:
% 52.08/13.12 | |
% 52.08/13.12 | | (5) all_22_0 = e23
% 52.08/13.12 | |
% 52.08/13.12 | | COMBINE_EQS: (2), (5) imply:
% 52.08/13.12 | | (6) all_8_1 = e23
% 52.08/13.12 | |
% 52.08/13.12 | | SIMP: (6) implies:
% 52.08/13.12 | | (7) all_8_1 = e23
% 52.08/13.12 | |
% 52.08/13.12 | | REDUCE: (3), (7) imply:
% 52.08/13.12 | | (8) $false
% 52.08/13.12 | |
% 52.08/13.12 | | CLOSE: (8) is inconsistent.
% 52.08/13.12 | |
% 52.08/13.12 | Case 2:
% 52.08/13.12 | |
% 52.08/13.12 | | (9) all_22_0 = e20
% 52.08/13.12 | |
% 52.08/13.12 | | REF_CLOSE: (2), (4), (9) are inconsistent by sub-proof #77.
% 52.08/13.12 | |
% 52.08/13.12 | End of split
% 52.08/13.12 |
% 52.08/13.12 End of proof
% 52.08/13.12
% 52.08/13.12 Sub-proof #77 shows that the following formulas are inconsistent:
% 52.08/13.12 ----------------------------------------------------------------
% 52.08/13.12 (1) all_22_0 = all_8_1
% 52.08/13.12 (2) all_22_0 = e20
% 52.08/13.12 (3) ~ (all_8_1 = e20)
% 52.08/13.12
% 52.08/13.12 Begin of proof
% 52.08/13.12 |
% 52.08/13.12 | COMBINE_EQS: (1), (2) imply:
% 52.08/13.12 | (4) all_8_1 = e20
% 52.08/13.12 |
% 52.08/13.12 | SIMP: (4) implies:
% 52.08/13.12 | (5) all_8_1 = e20
% 52.08/13.12 |
% 52.08/13.12 | REDUCE: (3), (5) imply:
% 52.08/13.12 | (6) $false
% 52.08/13.12 |
% 52.08/13.12 | CLOSE: (6) is inconsistent.
% 52.08/13.12 |
% 52.08/13.12 End of proof
% 52.08/13.12
% 52.08/13.12 Sub-proof #78 shows that the following formulas are inconsistent:
% 52.08/13.12 ----------------------------------------------------------------
% 52.08/13.12 (1) all_22_1 = all_14_4
% 52.08/13.12 (2) all_22_1 = e21
% 52.08/13.12 (3) ~ (all_14_4 = e21)
% 52.08/13.12
% 52.08/13.12 Begin of proof
% 52.08/13.12 |
% 52.08/13.12 | COMBINE_EQS: (1), (2) imply:
% 52.08/13.12 | (4) all_14_4 = e21
% 52.08/13.12 |
% 52.08/13.12 | SIMP: (4) implies:
% 52.08/13.12 | (5) all_14_4 = e21
% 52.08/13.12 |
% 52.08/13.12 | REDUCE: (3), (5) imply:
% 52.08/13.12 | (6) $false
% 52.08/13.12 |
% 52.08/13.12 | CLOSE: (6) is inconsistent.
% 52.08/13.12 |
% 52.08/13.12 End of proof
% 52.08/13.12
% 52.08/13.12 Sub-proof #79 shows that the following formulas are inconsistent:
% 52.08/13.12 ----------------------------------------------------------------
% 52.08/13.12 (1) all_22_0 = all_8_1
% 52.08/13.12 (2) all_22_0 = e21
% 52.08/13.12 (3) ~ (all_8_1 = e21)
% 52.08/13.12
% 52.08/13.12 Begin of proof
% 52.08/13.12 |
% 52.08/13.12 | COMBINE_EQS: (1), (2) imply:
% 52.08/13.12 | (4) all_8_1 = e21
% 52.08/13.12 |
% 52.08/13.12 | SIMP: (4) implies:
% 52.08/13.12 | (5) all_8_1 = e21
% 52.08/13.12 |
% 52.08/13.12 | REDUCE: (3), (5) imply:
% 52.08/13.12 | (6) $false
% 52.08/13.12 |
% 52.08/13.12 | CLOSE: (6) is inconsistent.
% 52.08/13.12 |
% 52.08/13.12 End of proof
% 52.08/13.12
% 52.08/13.12 Sub-proof #80 shows that the following formulas are inconsistent:
% 52.08/13.12 ----------------------------------------------------------------
% 52.08/13.12 (1) all_22_2 = all_14_8
% 52.08/13.12 (2) all_22_2 = e22
% 52.08/13.12 (3) ~ (all_14_8 = e22)
% 52.08/13.12
% 52.08/13.12 Begin of proof
% 52.08/13.12 |
% 52.08/13.12 | COMBINE_EQS: (1), (2) imply:
% 52.08/13.12 | (4) all_14_8 = e22
% 52.08/13.12 |
% 52.08/13.12 | SIMP: (4) implies:
% 52.08/13.12 | (5) all_14_8 = e22
% 52.08/13.12 |
% 52.08/13.12 | REDUCE: (3), (5) imply:
% 52.08/13.12 | (6) $false
% 52.08/13.12 |
% 52.08/13.12 | CLOSE: (6) is inconsistent.
% 52.08/13.12 |
% 52.08/13.12 End of proof
% 52.08/13.12
% 52.08/13.12 Sub-proof #81 shows that the following formulas are inconsistent:
% 52.08/13.12 ----------------------------------------------------------------
% 52.08/13.12 (1) all_22_2 = all_14_8
% 52.08/13.12 (2) all_22_2 = e21
% 52.08/13.12 (3) ~ (all_14_8 = e21)
% 52.08/13.12
% 52.08/13.12 Begin of proof
% 52.08/13.12 |
% 52.08/13.12 | COMBINE_EQS: (1), (2) imply:
% 52.08/13.12 | (4) all_14_8 = e21
% 52.08/13.12 |
% 52.08/13.12 | SIMP: (4) implies:
% 52.08/13.12 | (5) all_14_8 = e21
% 52.08/13.12 |
% 52.08/13.12 | REDUCE: (3), (5) imply:
% 52.08/13.12 | (6) $false
% 52.08/13.12 |
% 52.08/13.12 | CLOSE: (6) is inconsistent.
% 52.08/13.12 |
% 52.08/13.12 End of proof
% 52.08/13.12
% 52.08/13.12 Sub-proof #82 shows that the following formulas are inconsistent:
% 52.08/13.12 ----------------------------------------------------------------
% 52.08/13.12 (1) all_22_3 = e23 | all_22_3 = e20
% 52.08/13.12 (2) all_22_3 = all_14_12
% 52.08/13.12 (3) ~ (all_14_12 = e23)
% 52.08/13.12 (4) ~ (all_14_12 = e20)
% 52.08/13.12
% 52.08/13.12 Begin of proof
% 52.08/13.12 |
% 52.08/13.12 | BETA: splitting (1) gives:
% 52.08/13.12 |
% 52.08/13.12 | Case 1:
% 52.08/13.12 | |
% 52.08/13.12 | | (5) all_22_3 = e23
% 52.08/13.12 | |
% 52.08/13.12 | | COMBINE_EQS: (2), (5) imply:
% 52.08/13.12 | | (6) all_14_12 = e23
% 52.08/13.12 | |
% 52.08/13.12 | | SIMP: (6) implies:
% 52.08/13.12 | | (7) all_14_12 = e23
% 52.08/13.12 | |
% 52.08/13.12 | | REDUCE: (3), (7) imply:
% 52.08/13.12 | | (8) $false
% 52.08/13.12 | |
% 52.08/13.12 | | CLOSE: (8) is inconsistent.
% 52.08/13.12 | |
% 52.08/13.12 | Case 2:
% 52.08/13.12 | |
% 52.08/13.12 | | (9) all_22_3 = e20
% 52.08/13.12 | |
% 52.08/13.12 | | COMBINE_EQS: (2), (9) imply:
% 52.08/13.12 | | (10) all_14_12 = e20
% 52.08/13.12 | |
% 52.08/13.12 | | SIMP: (10) implies:
% 52.08/13.12 | | (11) all_14_12 = e20
% 52.08/13.12 | |
% 52.08/13.12 | | REDUCE: (4), (11) imply:
% 52.08/13.12 | | (12) $false
% 52.08/13.12 | |
% 52.08/13.12 | | CLOSE: (12) is inconsistent.
% 52.08/13.12 | |
% 52.08/13.12 | End of split
% 52.08/13.12 |
% 52.08/13.12 End of proof
% 52.08/13.12
% 52.08/13.12 Sub-proof #83 shows that the following formulas are inconsistent:
% 52.08/13.12 ----------------------------------------------------------------
% 52.08/13.13 (1) all_22_8 = e23 | all_22_8 = e22 | all_22_8 = e21 | all_22_8 = e20
% 52.08/13.13 (2) all_22_9 = e23 | all_22_9 = e22 | all_22_9 = e20
% 52.08/13.13 (3) op2(e21, e21) = e22
% 52.08/13.13 (4) ~ (all_14_2 = e22)
% 52.08/13.13 (5) all_22_9 = all_14_6
% 52.08/13.13 (6) ~ (all_14_6 = e22)
% 52.08/13.13 (7) all_22_8 = all_14_2
% 52.08/13.13 (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.08/13.13 (op2(v3, v2) = v1) | ~ (op2(v3, v2) = v0))
% 52.08/13.13 (9) ~ (all_14_2 = e23)
% 52.08/13.13 (10) ~ (all_14_2 = all_14_6)
% 52.08/13.13 (11) op2(all_14_2, all_14_2) = e21
% 52.08/13.13 (12) ~ (all_14_6 = e23)
% 52.08/13.13
% 52.08/13.13 Begin of proof
% 52.08/13.13 |
% 52.08/13.13 | BETA: splitting (2) gives:
% 52.08/13.13 |
% 52.08/13.13 | Case 1:
% 52.08/13.13 | |
% 52.08/13.13 | | (13) all_22_9 = e22
% 52.08/13.13 | |
% 52.08/13.13 | | COMBINE_EQS: (5), (13) imply:
% 52.08/13.13 | | (14) all_14_6 = e22
% 52.08/13.13 | |
% 52.08/13.13 | | REDUCE: (6), (14) imply:
% 52.08/13.13 | | (15) $false
% 52.08/13.13 | |
% 52.08/13.13 | | CLOSE: (15) is inconsistent.
% 52.30/13.13 | |
% 52.30/13.13 | Case 2:
% 52.30/13.13 | |
% 52.30/13.13 | | (16) all_22_9 = e23 | all_22_9 = e20
% 52.30/13.13 | |
% 52.30/13.13 | | BETA: splitting (16) gives:
% 52.30/13.13 | |
% 52.30/13.13 | | Case 1:
% 52.30/13.13 | | |
% 52.30/13.13 | | | (17) all_22_9 = e23
% 52.30/13.13 | | |
% 52.30/13.13 | | | COMBINE_EQS: (5), (17) imply:
% 52.30/13.13 | | | (18) all_14_6 = e23
% 52.30/13.13 | | |
% 52.30/13.13 | | | REDUCE: (12), (18) imply:
% 52.30/13.13 | | | (19) $false
% 52.30/13.13 | | |
% 52.30/13.13 | | | CLOSE: (19) is inconsistent.
% 52.30/13.13 | | |
% 52.30/13.13 | | Case 2:
% 52.30/13.13 | | |
% 52.30/13.13 | | | (20) all_22_9 = e20
% 52.30/13.13 | | |
% 52.30/13.13 | | | COMBINE_EQS: (5), (20) imply:
% 52.30/13.13 | | | (21) all_14_6 = e20
% 52.30/13.13 | | |
% 52.30/13.13 | | | REDUCE: (10), (21) imply:
% 52.30/13.13 | | | (22) ~ (all_14_2 = e20)
% 52.30/13.13 | | |
% 52.30/13.13 | | | REF_CLOSE: (1), (3), (4), (7), (8), (9), (11), (22) are inconsistent by
% 52.30/13.13 | | | sub-proof #84.
% 52.30/13.13 | | |
% 52.30/13.13 | | End of split
% 52.30/13.13 | |
% 52.30/13.13 | End of split
% 52.30/13.13 |
% 52.30/13.13 End of proof
% 52.30/13.13
% 52.30/13.13 Sub-proof #84 shows that the following formulas are inconsistent:
% 52.30/13.13 ----------------------------------------------------------------
% 52.30/13.13 (1) all_22_8 = e23 | all_22_8 = e22 | all_22_8 = e21 | all_22_8 = e20
% 52.30/13.13 (2) op2(e21, e21) = e22
% 52.30/13.13 (3) ~ (all_14_2 = e22)
% 52.30/13.13 (4) all_22_8 = all_14_2
% 52.30/13.13 (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.30/13.13 (op2(v3, v2) = v1) | ~ (op2(v3, v2) = v0))
% 52.30/13.13 (6) ~ (all_14_2 = e23)
% 52.30/13.13 (7) op2(all_14_2, all_14_2) = e21
% 52.30/13.13 (8) ~ (all_14_2 = e20)
% 52.30/13.13
% 52.30/13.13 Begin of proof
% 52.30/13.13 |
% 52.30/13.13 | BETA: splitting (1) gives:
% 52.30/13.13 |
% 52.30/13.13 | Case 1:
% 52.30/13.13 | |
% 52.30/13.13 | | (9) all_22_8 = e21
% 52.30/13.13 | |
% 52.30/13.13 | | COMBINE_EQS: (4), (9) imply:
% 52.30/13.13 | | (10) all_14_2 = e21
% 52.30/13.13 | |
% 52.30/13.13 | | SIMP: (10) implies:
% 52.30/13.13 | | (11) all_14_2 = e21
% 52.30/13.13 | |
% 52.30/13.13 | | REF_CLOSE: (2), (3), (5), (7), (11) are inconsistent by sub-proof #93.
% 52.30/13.13 | |
% 52.30/13.13 | Case 2:
% 52.30/13.13 | |
% 52.30/13.13 | | (12) all_22_8 = e23 | all_22_8 = e22 | all_22_8 = e20
% 52.30/13.13 | |
% 52.30/13.13 | | REF_CLOSE: (3), (4), (6), (8), (12) are inconsistent by sub-proof #85.
% 52.30/13.13 | |
% 52.30/13.13 | End of split
% 52.30/13.13 |
% 52.30/13.13 End of proof
% 52.30/13.13
% 52.30/13.13 Sub-proof #85 shows that the following formulas are inconsistent:
% 52.30/13.13 ----------------------------------------------------------------
% 52.30/13.13 (1) all_22_8 = e23 | all_22_8 = e22 | all_22_8 = e20
% 52.30/13.13 (2) ~ (all_14_2 = e22)
% 52.30/13.13 (3) all_22_8 = all_14_2
% 52.30/13.13 (4) ~ (all_14_2 = e23)
% 52.30/13.13 (5) ~ (all_14_2 = e20)
% 52.30/13.13
% 52.30/13.13 Begin of proof
% 52.30/13.13 |
% 52.30/13.13 | BETA: splitting (1) gives:
% 52.30/13.13 |
% 52.30/13.13 | Case 1:
% 52.30/13.13 | |
% 52.30/13.13 | | (6) all_22_8 = e22
% 52.30/13.13 | |
% 52.30/13.13 | | COMBINE_EQS: (3), (6) imply:
% 52.30/13.13 | | (7) all_14_2 = e22
% 52.30/13.13 | |
% 52.30/13.13 | | REDUCE: (2), (7) imply:
% 52.30/13.13 | | (8) $false
% 52.30/13.13 | |
% 52.30/13.13 | | CLOSE: (8) is inconsistent.
% 52.30/13.13 | |
% 52.30/13.13 | Case 2:
% 52.30/13.13 | |
% 52.30/13.13 | | (9) all_22_8 = e23 | all_22_8 = e20
% 52.30/13.13 | |
% 52.30/13.13 | | BETA: splitting (9) gives:
% 52.30/13.13 | |
% 52.30/13.13 | | Case 1:
% 52.30/13.13 | | |
% 52.30/13.13 | | | (10) all_22_8 = e23
% 52.30/13.13 | | |
% 52.30/13.13 | | | COMBINE_EQS: (3), (10) imply:
% 52.30/13.13 | | | (11) all_14_2 = e23
% 52.30/13.13 | | |
% 52.30/13.13 | | | REDUCE: (4), (11) imply:
% 52.30/13.13 | | | (12) $false
% 52.30/13.13 | | |
% 52.30/13.13 | | | CLOSE: (12) is inconsistent.
% 52.30/13.13 | | |
% 52.30/13.13 | | Case 2:
% 52.30/13.13 | | |
% 52.30/13.13 | | | (13) all_22_8 = e20
% 52.30/13.13 | | |
% 52.30/13.13 | | | COMBINE_EQS: (3), (13) imply:
% 52.30/13.13 | | | (14) all_14_2 = e20
% 52.30/13.13 | | |
% 52.30/13.13 | | | REDUCE: (5), (14) imply:
% 52.30/13.13 | | | (15) $false
% 52.30/13.13 | | |
% 52.30/13.13 | | | CLOSE: (15) is inconsistent.
% 52.30/13.13 | | |
% 52.30/13.13 | | End of split
% 52.30/13.13 | |
% 52.30/13.13 | End of split
% 52.30/13.13 |
% 52.30/13.13 End of proof
% 52.30/13.13
% 52.30/13.13 Sub-proof #86 shows that the following formulas are inconsistent:
% 52.30/13.13 ----------------------------------------------------------------
% 52.30/13.13 (1) ~ (all_6_1 = e21)
% 52.30/13.13 (2) all_22_5 = all_6_1
% 52.30/13.13 (3) ~ (all_14_7 = all_6_1)
% 52.30/13.13 (4) ~ (all_6_1 = e20)
% 52.30/13.13 (5) ~ (all_14_4 = all_14_7)
% 52.30/13.13 (6) all_22_1 = all_14_4
% 52.30/13.13 (7) ~ (all_14_4 = e21)
% 52.30/13.13 (8) all_22_1 = e23 | all_22_1 = e22 | all_22_1 = e21 | all_22_1 = e20
% 52.30/13.13 (9) ~ (all_14_4 = e20)
% 52.30/13.13 (10) all_22_13 = all_14_7
% 52.30/13.13 (11) all_22_5 = e23 | all_22_5 = e22 | all_22_5 = e21 | all_22_5 = e20
% 52.30/13.13 (12) ~ (all_14_7 = e23)
% 52.30/13.13 (13) ~ (all_14_7 = e20)
% 52.30/13.13 (14) all_22_13 = e23 | all_22_13 = e22 | all_22_13 = e20
% 52.30/13.13 (15) ~ (all_14_4 = all_6_1)
% 52.30/13.13
% 52.30/13.13 Begin of proof
% 52.30/13.13 |
% 52.30/13.13 | BETA: splitting (14) gives:
% 52.30/13.13 |
% 52.30/13.13 | Case 1:
% 52.30/13.13 | |
% 52.30/13.13 | | (16) all_22_13 = e22
% 52.30/13.13 | |
% 52.30/13.13 | | COMBINE_EQS: (10), (16) imply:
% 52.30/13.13 | | (17) all_14_7 = e22
% 52.30/13.13 | |
% 52.30/13.13 | | REDUCE: (5), (17) imply:
% 52.30/13.13 | | (18) ~ (all_14_4 = e22)
% 52.30/13.13 | |
% 52.30/13.13 | | REDUCE: (3), (17) imply:
% 52.30/13.13 | | (19) ~ (all_6_1 = e22)
% 52.30/13.13 | |
% 52.30/13.13 | | SIMP: (19) implies:
% 52.30/13.13 | | (20) ~ (all_6_1 = e22)
% 52.30/13.13 | |
% 52.30/13.13 | | BETA: splitting (8) gives:
% 52.30/13.13 | |
% 52.30/13.13 | | Case 1:
% 52.30/13.13 | | |
% 52.30/13.13 | | | (21) all_22_1 = e21
% 52.30/13.13 | | |
% 52.30/13.13 | | | COMBINE_EQS: (6), (21) imply:
% 52.30/13.13 | | | (22) all_14_4 = e21
% 52.30/13.14 | | |
% 52.30/13.14 | | | REDUCE: (7), (22) imply:
% 52.30/13.14 | | | (23) $false
% 52.30/13.14 | | |
% 52.30/13.14 | | | CLOSE: (23) is inconsistent.
% 52.30/13.14 | | |
% 52.30/13.14 | | Case 2:
% 52.30/13.14 | | |
% 52.30/13.14 | | | (24) all_22_1 = e23 | all_22_1 = e22 | all_22_1 = e20
% 52.30/13.14 | | |
% 52.30/13.14 | | | REF_CLOSE: (1), (2), (4), (6), (9), (11), (15), (18), (20), (24) are
% 52.30/13.14 | | | inconsistent by sub-proof #88.
% 52.30/13.14 | | |
% 52.30/13.14 | | End of split
% 52.30/13.14 | |
% 52.30/13.14 | Case 2:
% 52.30/13.14 | |
% 52.30/13.14 | | (25) all_22_13 = e23 | all_22_13 = e20
% 52.30/13.14 | |
% 52.30/13.14 | | REF_CLOSE: (10), (12), (13), (25) are inconsistent by sub-proof #87.
% 52.30/13.14 | |
% 52.30/13.14 | End of split
% 52.30/13.14 |
% 52.30/13.14 End of proof
% 52.30/13.14
% 52.30/13.14 Sub-proof #87 shows that the following formulas are inconsistent:
% 52.30/13.14 ----------------------------------------------------------------
% 52.30/13.14 (1) all_22_13 = e23 | all_22_13 = e20
% 52.30/13.14 (2) all_22_13 = all_14_7
% 52.30/13.14 (3) ~ (all_14_7 = e23)
% 52.30/13.14 (4) ~ (all_14_7 = e20)
% 52.30/13.14
% 52.30/13.14 Begin of proof
% 52.30/13.14 |
% 52.30/13.14 | BETA: splitting (1) gives:
% 52.30/13.14 |
% 52.30/13.14 | Case 1:
% 52.30/13.14 | |
% 52.30/13.14 | | (5) all_22_13 = e23
% 52.30/13.14 | |
% 52.30/13.14 | | COMBINE_EQS: (2), (5) imply:
% 52.30/13.14 | | (6) all_14_7 = e23
% 52.30/13.14 | |
% 52.30/13.14 | | REDUCE: (3), (6) imply:
% 52.30/13.14 | | (7) $false
% 52.30/13.14 | |
% 52.30/13.14 | | CLOSE: (7) is inconsistent.
% 52.30/13.14 | |
% 52.30/13.14 | Case 2:
% 52.30/13.14 | |
% 52.30/13.14 | | (8) all_22_13 = e20
% 52.30/13.14 | |
% 52.30/13.14 | | COMBINE_EQS: (2), (8) imply:
% 52.30/13.14 | | (9) all_14_7 = e20
% 52.30/13.14 | |
% 52.30/13.14 | | REDUCE: (4), (9) imply:
% 52.30/13.14 | | (10) $false
% 52.30/13.14 | |
% 52.30/13.14 | | CLOSE: (10) is inconsistent.
% 52.30/13.14 | |
% 52.30/13.14 | End of split
% 52.30/13.14 |
% 52.30/13.14 End of proof
% 52.30/13.14
% 52.30/13.14 Sub-proof #88 shows that the following formulas are inconsistent:
% 52.30/13.14 ----------------------------------------------------------------
% 52.30/13.14 (1) ~ (all_14_4 = e22)
% 52.30/13.14 (2) ~ (all_6_1 = e21)
% 52.30/13.14 (3) all_22_5 = all_6_1
% 52.30/13.14 (4) ~ (all_6_1 = e20)
% 52.30/13.14 (5) all_22_1 = all_14_4
% 52.30/13.14 (6) ~ (all_14_4 = e20)
% 52.30/13.14 (7) all_22_5 = e23 | all_22_5 = e22 | all_22_5 = e21 | all_22_5 = e20
% 52.30/13.14 (8) all_22_1 = e23 | all_22_1 = e22 | all_22_1 = e20
% 52.30/13.14 (9) ~ (all_6_1 = e22)
% 52.30/13.14 (10) ~ (all_14_4 = all_6_1)
% 52.30/13.14
% 52.30/13.14 Begin of proof
% 52.30/13.14 |
% 52.30/13.14 | BETA: splitting (7) gives:
% 52.30/13.14 |
% 52.30/13.14 | Case 1:
% 52.30/13.14 | |
% 52.30/13.14 | | (11) all_22_5 = e21
% 52.30/13.14 | |
% 52.30/13.14 | | COMBINE_EQS: (3), (11) imply:
% 52.30/13.14 | | (12) all_6_1 = e21
% 52.30/13.14 | |
% 52.30/13.14 | | SIMP: (12) implies:
% 52.30/13.14 | | (13) all_6_1 = e21
% 52.30/13.14 | |
% 52.30/13.14 | | REDUCE: (2), (13) imply:
% 52.30/13.14 | | (14) $false
% 52.30/13.14 | |
% 52.30/13.14 | | CLOSE: (14) is inconsistent.
% 52.30/13.14 | |
% 52.30/13.14 | Case 2:
% 52.30/13.14 | |
% 52.30/13.14 | | (15) all_22_5 = e23 | all_22_5 = e22 | all_22_5 = e20
% 52.30/13.14 | |
% 52.30/13.14 | | BETA: splitting (15) gives:
% 52.30/13.14 | |
% 52.30/13.14 | | Case 1:
% 52.30/13.14 | | |
% 52.30/13.14 | | | (16) all_22_5 = e22
% 52.30/13.14 | | |
% 52.30/13.14 | | | COMBINE_EQS: (3), (16) imply:
% 52.30/13.14 | | | (17) all_6_1 = e22
% 52.30/13.14 | | |
% 52.30/13.14 | | | SIMP: (17) implies:
% 52.30/13.14 | | | (18) all_6_1 = e22
% 52.30/13.14 | | |
% 52.30/13.14 | | | REDUCE: (9), (18) imply:
% 52.30/13.14 | | | (19) $false
% 52.30/13.14 | | |
% 52.30/13.14 | | | CLOSE: (19) is inconsistent.
% 52.30/13.14 | | |
% 52.30/13.14 | | Case 2:
% 52.30/13.14 | | |
% 52.30/13.14 | | | (20) all_22_5 = e23 | all_22_5 = e20
% 52.30/13.14 | | |
% 52.30/13.14 | | | BETA: splitting (20) gives:
% 52.30/13.14 | | |
% 52.30/13.14 | | | Case 1:
% 52.30/13.14 | | | |
% 52.30/13.14 | | | | (21) all_22_5 = e23
% 52.30/13.14 | | | |
% 52.30/13.14 | | | | COMBINE_EQS: (3), (21) imply:
% 52.30/13.14 | | | | (22) all_6_1 = e23
% 52.30/13.14 | | | |
% 52.30/13.14 | | | | SIMP: (22) implies:
% 52.30/13.14 | | | | (23) all_6_1 = e23
% 52.30/13.14 | | | |
% 52.30/13.14 | | | | REDUCE: (10), (23) imply:
% 52.30/13.14 | | | | (24) ~ (all_14_4 = e23)
% 52.30/13.14 | | | |
% 52.30/13.14 | | | | REF_CLOSE: (1), (5), (6), (8), (24) are inconsistent by sub-proof #89.
% 52.30/13.14 | | | |
% 52.30/13.14 | | | Case 2:
% 52.30/13.14 | | | |
% 52.30/13.14 | | | | (25) all_22_5 = e20
% 52.30/13.14 | | | |
% 52.30/13.14 | | | | COMBINE_EQS: (3), (25) imply:
% 52.30/13.14 | | | | (26) all_6_1 = e20
% 52.30/13.14 | | | |
% 52.30/13.14 | | | | SIMP: (26) implies:
% 52.30/13.14 | | | | (27) all_6_1 = e20
% 52.30/13.14 | | | |
% 52.30/13.14 | | | | REDUCE: (4), (27) imply:
% 52.30/13.14 | | | | (28) $false
% 52.30/13.14 | | | |
% 52.30/13.14 | | | | CLOSE: (28) is inconsistent.
% 52.30/13.14 | | | |
% 52.30/13.14 | | | End of split
% 52.30/13.14 | | |
% 52.30/13.14 | | End of split
% 52.30/13.14 | |
% 52.30/13.14 | End of split
% 52.30/13.14 |
% 52.30/13.14 End of proof
% 52.30/13.14
% 52.30/13.14 Sub-proof #89 shows that the following formulas are inconsistent:
% 52.30/13.14 ----------------------------------------------------------------
% 52.30/13.14 (1) ~ (all_14_4 = e22)
% 52.30/13.14 (2) all_22_1 = all_14_4
% 52.30/13.14 (3) ~ (all_14_4 = e20)
% 52.30/13.14 (4) ~ (all_14_4 = e23)
% 52.30/13.14 (5) all_22_1 = e23 | all_22_1 = e22 | all_22_1 = e20
% 52.30/13.14
% 52.30/13.14 Begin of proof
% 52.30/13.14 |
% 52.30/13.14 | BETA: splitting (5) gives:
% 52.30/13.14 |
% 52.30/13.14 | Case 1:
% 52.30/13.14 | |
% 52.30/13.14 | | (6) all_22_1 = e22
% 52.30/13.14 | |
% 52.30/13.14 | | COMBINE_EQS: (2), (6) imply:
% 52.30/13.14 | | (7) all_14_4 = e22
% 52.30/13.14 | |
% 52.30/13.14 | | REDUCE: (1), (7) imply:
% 52.30/13.14 | | (8) $false
% 52.30/13.14 | |
% 52.30/13.14 | | CLOSE: (8) is inconsistent.
% 52.30/13.14 | |
% 52.30/13.14 | Case 2:
% 52.30/13.14 | |
% 52.30/13.14 | | (9) all_22_1 = e23 | all_22_1 = e20
% 52.30/13.14 | |
% 52.30/13.14 | | REF_CLOSE: (2), (3), (4), (9) are inconsistent by sub-proof #90.
% 52.30/13.14 | |
% 52.30/13.14 | End of split
% 52.30/13.14 |
% 52.30/13.14 End of proof
% 52.30/13.14
% 52.30/13.14 Sub-proof #90 shows that the following formulas are inconsistent:
% 52.30/13.14 ----------------------------------------------------------------
% 52.30/13.14 (1) all_22_1 = e23 | all_22_1 = e20
% 52.30/13.14 (2) all_22_1 = all_14_4
% 52.30/13.14 (3) ~ (all_14_4 = e23)
% 52.30/13.14 (4) ~ (all_14_4 = e20)
% 52.30/13.14
% 52.30/13.14 Begin of proof
% 52.30/13.14 |
% 52.30/13.14 | BETA: splitting (1) gives:
% 52.30/13.14 |
% 52.30/13.14 | Case 1:
% 52.30/13.14 | |
% 52.30/13.14 | | (5) all_22_1 = e23
% 52.30/13.14 | |
% 52.30/13.14 | | COMBINE_EQS: (2), (5) imply:
% 52.30/13.14 | | (6) all_14_4 = e23
% 52.30/13.14 | |
% 52.30/13.14 | | REDUCE: (3), (6) imply:
% 52.30/13.14 | | (7) $false
% 52.30/13.14 | |
% 52.30/13.14 | | CLOSE: (7) is inconsistent.
% 52.30/13.14 | |
% 52.30/13.14 | Case 2:
% 52.30/13.14 | |
% 52.30/13.14 | | (8) all_22_1 = e20
% 52.30/13.14 | |
% 52.30/13.14 | | COMBINE_EQS: (2), (8) imply:
% 52.30/13.14 | | (9) all_14_4 = e20
% 52.30/13.14 | |
% 52.30/13.14 | | REDUCE: (4), (9) imply:
% 52.30/13.14 | | (10) $false
% 52.30/13.14 | |
% 52.30/13.14 | | CLOSE: (10) is inconsistent.
% 52.30/13.14 | |
% 52.30/13.14 | End of split
% 52.30/13.14 |
% 52.30/13.14 End of proof
% 52.30/13.14
% 52.30/13.14 Sub-proof #91 shows that the following formulas are inconsistent:
% 52.30/13.14 ----------------------------------------------------------------
% 52.30/13.14 (1) ~ (all_14_4 = e21)
% 52.30/13.14 (2) op2(all_14_4, all_14_4) = all_18_8
% 52.30/13.14 (3) op2(e20, e20) = e21
% 52.30/13.14 (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.30/13.14 (op2(v3, v2) = v1) | ~ (op2(v3, v2) = v0))
% 52.30/13.14 (5) all_24_1 = e20
% 52.30/13.14 (6) all_24_1 = all_14_4
% 52.30/13.14 (7) op2(e20, e20) = e20
% 52.30/13.14
% 52.30/13.14 Begin of proof
% 52.30/13.14 |
% 52.30/13.14 | COMBINE_EQS: (5), (6) imply:
% 52.30/13.14 | (8) all_14_4 = e20
% 52.30/13.15 |
% 52.30/13.15 | SIMP: (8) implies:
% 52.30/13.15 | (9) all_14_4 = e20
% 52.30/13.15 |
% 52.30/13.15 | REDUCE: (1), (9) imply:
% 52.30/13.15 | (10) ~ (e21 = e20)
% 52.30/13.15 |
% 52.30/13.15 | SIMP: (10) implies:
% 52.30/13.15 | (11) ~ (e21 = e20)
% 52.30/13.15 |
% 52.30/13.15 | REDUCE: (2), (9) imply:
% 52.30/13.15 | (12) op2(e20, e20) = all_18_8
% 52.30/13.15 |
% 52.30/13.15 | GROUND_INST: instantiating (4) with e20, all_18_8, e20, e20, simplifying with
% 52.30/13.15 | (7), (12) gives:
% 52.30/13.15 | (13) all_18_8 = e20
% 52.30/13.15 |
% 52.30/13.15 | GROUND_INST: instantiating (4) with e21, all_18_8, e20, e20, simplifying with
% 52.30/13.15 | (3), (12) gives:
% 52.30/13.15 | (14) all_18_8 = e21
% 52.30/13.15 |
% 52.30/13.15 | COMBINE_EQS: (13), (14) imply:
% 52.30/13.15 | (15) e21 = e20
% 52.30/13.15 |
% 52.30/13.15 | REDUCE: (11), (15) imply:
% 52.30/13.15 | (16) $false
% 52.30/13.15 |
% 52.30/13.15 | CLOSE: (16) is inconsistent.
% 52.30/13.15 |
% 52.30/13.15 End of proof
% 52.30/13.15
% 52.30/13.15 Sub-proof #92 shows that the following formulas are inconsistent:
% 52.30/13.15 ----------------------------------------------------------------
% 52.30/13.15 (1) all_24_6 = all_14_2
% 52.30/13.15 (2) all_24_6 = e21
% 52.30/13.15 (3) ~ (all_14_2 = e21)
% 52.30/13.15
% 52.30/13.15 Begin of proof
% 52.30/13.15 |
% 52.30/13.15 | COMBINE_EQS: (1), (2) imply:
% 52.30/13.15 | (4) all_14_2 = e21
% 52.30/13.15 |
% 52.30/13.15 | SIMP: (4) implies:
% 52.30/13.15 | (5) all_14_2 = e21
% 52.30/13.15 |
% 52.30/13.15 | REDUCE: (3), (5) imply:
% 52.30/13.15 | (6) $false
% 52.30/13.15 |
% 52.30/13.15 | CLOSE: (6) is inconsistent.
% 52.30/13.15 |
% 52.30/13.15 End of proof
% 52.30/13.15
% 52.30/13.15 Sub-proof #93 shows that the following formulas are inconsistent:
% 52.30/13.15 ----------------------------------------------------------------
% 52.30/13.15 (1) op2(e21, e21) = e22
% 52.30/13.15 (2) ~ (all_14_2 = e22)
% 52.30/13.15 (3) all_14_2 = e21
% 52.30/13.15 (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.30/13.15 (op2(v3, v2) = v1) | ~ (op2(v3, v2) = v0))
% 52.30/13.15 (5) op2(all_14_2, all_14_2) = e21
% 52.30/13.15
% 52.30/13.15 Begin of proof
% 52.30/13.15 |
% 52.30/13.15 | REDUCE: (2), (3) imply:
% 52.30/13.15 | (6) ~ (e22 = e21)
% 52.30/13.15 |
% 52.30/13.15 | SIMP: (6) implies:
% 52.30/13.15 | (7) ~ (e22 = e21)
% 52.30/13.15 |
% 52.30/13.15 | REDUCE: (3), (5) imply:
% 52.30/13.15 | (8) op2(e21, e21) = e21
% 52.30/13.15 |
% 52.30/13.15 | REF_CLOSE: (1), (4), (7), (8) are inconsistent by sub-proof #94.
% 52.30/13.15 |
% 52.30/13.15 End of proof
% 52.30/13.15
% 52.30/13.15 Sub-proof #94 shows that the following formulas are inconsistent:
% 52.30/13.15 ----------------------------------------------------------------
% 52.30/13.15 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.30/13.15 (op2(v3, v2) = v1) | ~ (op2(v3, v2) = v0))
% 52.30/13.15 (2) op2(e21, e21) = e22
% 52.30/13.15 (3) op2(e21, e21) = e21
% 52.30/13.15 (4) ~ (e22 = e21)
% 52.30/13.15
% 52.30/13.15 Begin of proof
% 52.30/13.15 |
% 52.30/13.15 | GROUND_INST: instantiating (1) with e22, e21, e21, e21, simplifying with (2),
% 52.30/13.15 | (3) gives:
% 52.30/13.15 | (5) e22 = e21
% 52.30/13.15 |
% 52.30/13.15 | REDUCE: (4), (5) imply:
% 52.30/13.15 | (6) $false
% 52.30/13.15 |
% 52.30/13.15 | CLOSE: (6) is inconsistent.
% 52.30/13.15 |
% 52.30/13.15 End of proof
% 52.30/13.15
% 52.30/13.15 Sub-proof #95 shows that the following formulas are inconsistent:
% 52.30/13.15 ----------------------------------------------------------------
% 52.30/13.15 (1) all_22_3 = all_14_12
% 52.30/13.15 (2) all_22_3 = e21
% 52.30/13.15 (3) ~ (all_14_12 = e21)
% 52.30/13.15
% 52.30/13.15 Begin of proof
% 52.30/13.15 |
% 52.30/13.15 | COMBINE_EQS: (1), (2) imply:
% 52.30/13.15 | (4) all_14_12 = e21
% 52.30/13.15 |
% 52.30/13.15 | SIMP: (4) implies:
% 52.30/13.15 | (5) all_14_12 = e21
% 52.30/13.15 |
% 52.30/13.15 | REDUCE: (3), (5) imply:
% 52.30/13.15 | (6) $false
% 52.30/13.15 |
% 52.30/13.15 | CLOSE: (6) is inconsistent.
% 52.30/13.15 |
% 52.30/13.15 End of proof
% 52.30/13.15
% 52.30/13.15 Sub-proof #96 shows that the following formulas are inconsistent:
% 52.30/13.15 ----------------------------------------------------------------
% 52.30/13.15 (1) all_20_1 = all_12_4
% 52.30/13.15 (2) all_20_1 = e11
% 52.30/13.15 (3) ~ (all_12_4 = e11)
% 52.30/13.15
% 52.30/13.15 Begin of proof
% 52.30/13.15 |
% 52.30/13.15 | COMBINE_EQS: (1), (2) imply:
% 52.30/13.15 | (4) all_12_4 = e11
% 52.30/13.15 |
% 52.30/13.15 | SIMP: (4) implies:
% 52.30/13.15 | (5) all_12_4 = e11
% 52.30/13.15 |
% 52.30/13.15 | REDUCE: (3), (5) imply:
% 52.30/13.15 | (6) $false
% 52.30/13.15 |
% 52.30/13.15 | CLOSE: (6) is inconsistent.
% 52.30/13.15 |
% 52.30/13.15 End of proof
% 52.30/13.15
% 52.30/13.15 Sub-proof #97 shows that the following formulas are inconsistent:
% 52.30/13.15 ----------------------------------------------------------------
% 52.30/13.15 (1) ~ (e13 = e11)
% 52.30/13.15 (2) all_26_11 = e13
% 52.30/13.15 (3) ~ (e12 = e11)
% 52.30/13.15 (4) all_26_8 = e12
% 52.30/13.15 (5) all_26_6 = e10
% 52.30/13.15 (6) ~ (e11 = e10)
% 52.30/13.15 (7) ~ (all_12_6 = e11)
% 52.30/13.15 (8) all_26_7 = all_12_6
% 52.30/13.15 (9) all_26_6 = e11 | all_26_7 = e11 | all_26_8 = e11 | all_26_11 = e11
% 52.30/13.15
% 52.30/13.15 Begin of proof
% 52.30/13.15 |
% 52.30/13.15 | BETA: splitting (9) gives:
% 52.30/13.15 |
% 52.30/13.15 | Case 1:
% 52.30/13.15 | |
% 52.30/13.15 | | (10) all_26_6 = e11
% 52.30/13.15 | |
% 52.30/13.15 | | COMBINE_EQS: (5), (10) imply:
% 52.30/13.15 | | (11) e11 = e10
% 52.30/13.15 | |
% 52.30/13.15 | | REDUCE: (6), (11) imply:
% 52.30/13.15 | | (12) $false
% 52.30/13.15 | |
% 52.30/13.15 | | CLOSE: (12) is inconsistent.
% 52.30/13.15 | |
% 52.30/13.15 | Case 2:
% 52.30/13.15 | |
% 52.30/13.15 | | (13) all_26_7 = e11 | all_26_8 = e11 | all_26_11 = e11
% 52.30/13.15 | |
% 52.30/13.15 | | REF_CLOSE: (1), (2), (3), (4), (7), (8), (13) are inconsistent by sub-proof
% 52.30/13.15 | | #98.
% 52.30/13.15 | |
% 52.30/13.15 | End of split
% 52.30/13.15 |
% 52.30/13.15 End of proof
% 52.30/13.15
% 52.30/13.15 Sub-proof #98 shows that the following formulas are inconsistent:
% 52.30/13.15 ----------------------------------------------------------------
% 52.30/13.15 (1) ~ (e13 = e11)
% 52.30/13.15 (2) all_26_11 = e13
% 52.30/13.15 (3) ~ (e12 = e11)
% 52.30/13.15 (4) all_26_8 = e12
% 52.30/13.15 (5) all_26_7 = e11 | all_26_8 = e11 | all_26_11 = e11
% 52.30/13.15 (6) ~ (all_12_6 = e11)
% 52.30/13.15 (7) all_26_7 = all_12_6
% 52.30/13.15
% 52.30/13.15 Begin of proof
% 52.30/13.15 |
% 52.30/13.15 | BETA: splitting (5) gives:
% 52.30/13.15 |
% 52.30/13.15 | Case 1:
% 52.30/13.15 | |
% 52.30/13.15 | | (8) all_26_7 = e11
% 52.30/13.15 | |
% 52.30/13.15 | | COMBINE_EQS: (7), (8) imply:
% 52.30/13.15 | | (9) all_12_6 = e11
% 52.30/13.15 | |
% 52.30/13.15 | | SIMP: (9) implies:
% 52.30/13.15 | | (10) all_12_6 = e11
% 52.30/13.15 | |
% 52.30/13.15 | | REDUCE: (6), (10) imply:
% 52.30/13.15 | | (11) $false
% 52.30/13.15 | |
% 52.30/13.15 | | CLOSE: (11) is inconsistent.
% 52.30/13.15 | |
% 52.30/13.15 | Case 2:
% 52.30/13.15 | |
% 52.30/13.15 | | (12) all_26_8 = e11 | all_26_11 = e11
% 52.30/13.15 | |
% 52.30/13.15 | | REF_CLOSE: (1), (2), (3), (4), (12) are inconsistent by sub-proof #99.
% 52.30/13.15 | |
% 52.30/13.15 | End of split
% 52.30/13.15 |
% 52.30/13.15 End of proof
% 52.30/13.15
% 52.30/13.15 Sub-proof #99 shows that the following formulas are inconsistent:
% 52.30/13.15 ----------------------------------------------------------------
% 52.30/13.15 (1) ~ (e13 = e11)
% 52.30/13.15 (2) all_26_11 = e13
% 52.30/13.15 (3) ~ (e12 = e11)
% 52.30/13.15 (4) all_26_8 = e12
% 52.30/13.15 (5) all_26_8 = e11 | all_26_11 = e11
% 52.30/13.15
% 52.30/13.15 Begin of proof
% 52.30/13.15 |
% 52.30/13.15 | BETA: splitting (5) gives:
% 52.30/13.15 |
% 52.30/13.15 | Case 1:
% 52.30/13.15 | |
% 52.30/13.15 | | (6) all_26_8 = e11
% 52.30/13.15 | |
% 52.30/13.15 | | COMBINE_EQS: (4), (6) imply:
% 52.30/13.15 | | (7) e12 = e11
% 52.30/13.15 | |
% 52.30/13.16 | | SIMP: (7) implies:
% 52.30/13.16 | | (8) e12 = e11
% 52.30/13.16 | |
% 52.30/13.16 | | REDUCE: (3), (8) imply:
% 52.30/13.16 | | (9) $false
% 52.30/13.16 | |
% 52.30/13.16 | | CLOSE: (9) is inconsistent.
% 52.30/13.16 | |
% 52.30/13.16 | Case 2:
% 52.30/13.16 | |
% 52.30/13.16 | | (10) all_26_11 = e11
% 52.30/13.16 | |
% 52.30/13.16 | | COMBINE_EQS: (2), (10) imply:
% 52.30/13.16 | | (11) e13 = e11
% 52.30/13.16 | |
% 52.30/13.16 | | SIMP: (11) implies:
% 52.30/13.16 | | (12) e13 = e11
% 52.30/13.16 | |
% 52.30/13.16 | | REDUCE: (1), (12) imply:
% 52.30/13.16 | | (13) $false
% 52.30/13.16 | |
% 52.30/13.16 | | CLOSE: (13) is inconsistent.
% 52.30/13.16 | |
% 52.30/13.16 | End of split
% 52.30/13.16 |
% 52.30/13.16 End of proof
% 52.30/13.16
% 52.30/13.16 Sub-proof #100 shows that the following formulas are inconsistent:
% 52.30/13.16 ----------------------------------------------------------------
% 52.30/13.16 (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 52.30/13.16 (op1(v3, v2) = v1) | ~ (op1(v3, v2) = v0))
% 52.30/13.16 (2) op1(e11, e11) = e12
% 52.30/13.16 (3) op1(e11, e11) = e11
% 52.30/13.16 (4) ~ (e12 = e11)
% 52.30/13.16
% 52.30/13.16 Begin of proof
% 52.30/13.16 |
% 52.30/13.16 | GROUND_INST: instantiating (1) with e12, e11, e11, e11, simplifying with (2),
% 52.30/13.16 | (3) gives:
% 52.30/13.16 | (5) e12 = e11
% 52.30/13.16 |
% 52.30/13.16 | REDUCE: (4), (5) imply:
% 52.30/13.16 | (6) $false
% 52.30/13.16 |
% 52.30/13.16 | CLOSE: (6) is inconsistent.
% 52.30/13.16 |
% 52.30/13.16 End of proof
% 52.30/13.16
% 52.30/13.16 Sub-proof #101 shows that the following formulas are inconsistent:
% 52.30/13.16 ----------------------------------------------------------------
% 52.30/13.16 (1) all_26_11 = e13
% 52.30/13.16 (2) all_26_8 = e12
% 52.30/13.16 (3) ~ (e11 = e10)
% 52.30/13.16 (4) ~ (e13 = e10)
% 52.30/13.16 (5) all_26_7 = e11
% 52.30/13.16 (6) ~ (e12 = e10)
% 52.30/13.16 (7) all_26_7 = e10 | all_26_8 = e10 | all_26_11 = e10
% 52.30/13.16
% 52.30/13.16 Begin of proof
% 52.30/13.16 |
% 52.30/13.16 | BETA: splitting (7) gives:
% 52.30/13.16 |
% 52.30/13.16 | Case 1:
% 52.30/13.16 | |
% 52.30/13.16 | | (8) all_26_7 = e10
% 52.30/13.16 | |
% 52.30/13.16 | | COMBINE_EQS: (5), (8) imply:
% 52.30/13.16 | | (9) e11 = e10
% 52.30/13.16 | |
% 52.30/13.16 | | SIMP: (9) implies:
% 52.30/13.16 | | (10) e11 = e10
% 52.30/13.16 | |
% 52.30/13.16 | | REDUCE: (3), (10) imply:
% 52.30/13.16 | | (11) $false
% 52.30/13.16 | |
% 52.30/13.16 | | CLOSE: (11) is inconsistent.
% 52.30/13.16 | |
% 52.30/13.16 | Case 2:
% 52.30/13.16 | |
% 52.30/13.16 | | (12) all_26_8 = e10 | all_26_11 = e10
% 52.30/13.16 | |
% 52.30/13.16 | | REF_CLOSE: (1), (2), (4), (6), (12) are inconsistent by sub-proof #102.
% 52.30/13.16 | |
% 52.30/13.16 | End of split
% 52.30/13.16 |
% 52.30/13.16 End of proof
% 52.30/13.16
% 52.30/13.16 Sub-proof #102 shows that the following formulas are inconsistent:
% 52.30/13.16 ----------------------------------------------------------------
% 52.30/13.16 (1) all_26_11 = e13
% 52.30/13.16 (2) all_26_8 = e12
% 52.30/13.16 (3) ~ (e13 = e10)
% 52.30/13.16 (4) ~ (e12 = e10)
% 52.30/13.16 (5) all_26_8 = e10 | all_26_11 = e10
% 52.30/13.16
% 52.30/13.16 Begin of proof
% 52.30/13.16 |
% 52.30/13.16 | BETA: splitting (5) gives:
% 52.30/13.16 |
% 52.30/13.16 | Case 1:
% 52.30/13.16 | |
% 52.30/13.16 | | (6) all_26_8 = e10
% 52.30/13.16 | |
% 52.30/13.16 | | COMBINE_EQS: (2), (6) imply:
% 52.30/13.16 | | (7) e12 = e10
% 52.30/13.16 | |
% 52.30/13.16 | | SIMP: (7) implies:
% 52.30/13.16 | | (8) e12 = e10
% 52.30/13.16 | |
% 52.30/13.16 | | REDUCE: (4), (8) imply:
% 52.30/13.16 | | (9) $false
% 52.30/13.16 | |
% 52.30/13.16 | | CLOSE: (9) is inconsistent.
% 52.30/13.16 | |
% 52.30/13.16 | Case 2:
% 52.30/13.16 | |
% 52.30/13.16 | | (10) all_26_11 = e10
% 52.30/13.16 | |
% 52.30/13.16 | | COMBINE_EQS: (1), (10) imply:
% 52.30/13.16 | | (11) e13 = e10
% 52.30/13.16 | |
% 52.30/13.16 | | SIMP: (11) implies:
% 52.30/13.16 | | (12) e13 = e10
% 52.30/13.16 | |
% 52.30/13.16 | | REDUCE: (3), (12) imply:
% 52.30/13.16 | | (13) $false
% 52.30/13.16 | |
% 52.30/13.16 | | CLOSE: (13) is inconsistent.
% 52.30/13.16 | |
% 52.30/13.16 | End of split
% 52.30/13.16 |
% 52.30/13.16 End of proof
% 52.30/13.16 % SZS output end Proof for theBenchmark
% 52.30/13.16
% 52.30/13.16 12430ms
%------------------------------------------------------------------------------